How is this equation correctly solved?

How Is This Equation Correctly Solved?

Answers

Answer 1

Answer:

Psy talented it to cartwheels

Step-by-step explanation:


Related Questions

A computer that cost 1099 last year cost 9999 this year. What is the percent change in price rounded to the nearest tenth
1%
0.1%
9.1 %
10 %

Answers

1%
Type into a calculator as 1098 • 0.1

Bob swam a total of 250
meters on Monday and
Tuesday. On Tuesday, the
number of meters he swam
was 30 less than 3 times the
amount he swam on
Monday. How many meters
did Bob swim on Monday?

Answers

Answer:

i think 220

Step-by-step explanation:

because if he swim 250 then 30 less it would be 220

because of different units being used for various data series, which fit statistic can be used across different series that are in fact measured in different units?

Answers

The fit statistic that can be used across different series that are in fact measured in different units is; MAPE

What statistic can be used?

There are different statistics models in this regards such as;

Mean Absolute Error (MAE)

Mean Absolute Scaled Error (MASE)

Accuracy Percent (Accuracy %)

Mean Squared Error (MSE)

Root Mean Squared Error (RMSE)

Mean Absolute Percent Error (MAPE)

Now, we are told that we need the fit statistic that can be used across different series that are in fact measured in different units.

The correct one will be Mean Absolute Percent Error (MAPE) because the average absolute percent difference between the values that are fitted by the model and the observed data values.

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What is 75 equal to?
A.
785
B.
5 x 5 x 5 x 5 x 5 x 5 x 5
O c.
7 x 7 x 7 x 7 x7
OD. 57

What is 75 equal to?A.785B.5 x 5 x 5 x 5 x 5 x 5 x 5O c.7 x 7 x 7 x 7 x7OD. 57

Answers

Answer:

C

Step-by-step explanation:

It is C

It means 7 x 5

you have the 7 add up 5 times

I picked the yellow one, was I correct?

I picked the yellow one, was I correct?

Answers

Answer:

the answer was 9 (red)

Step-by-step explanation:

PLWASE HELP PLEASE PLEASE

PLWASE HELP PLEASE PLEASE

Answers

Answer:

66 in^2

Step-by-step explanation:

Imagine that the figure is a whole square, where the space between is filled in.

Find the area of the imaginary square (l x w):

9 in. x 9 in. = 81 in^2

Lets make that whole square the original figure it used to be (take away the space we “filled in”)

Lets find the area of the space we filled in:

5 in x 3 in= 15 in^2

Subtract the imaginary square’s area by the area of the space that was originally blank:

81 in^2 - 15 in^2 = 66 in^2

66 in^2 IS YOUR FINAL ANSWER, that is the real area of the composite figure you have.

Hope this helps!

Some one explain please

Some one explain please

Answers

Answer:

The value of \(x\):

\(\boxed {x = \frac{3y}{4} - 6}\)

The value of \(y\):

\(\boxed {y = \frac{4x}{3} + 8}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(-4x + 3y = 24\)

-Subtract \(3y\) to both sides:

\(-4x + 3y - 3y = 24 - 3y\)

\(-4x = 24 - 3y\)

-Divide both sides by \(-4\):

\(\frac{-4x}{-4} = \frac{24 - 3y}{-4}\)

\(\boxed {x = \frac{3y}{4} - 6}\)

-----------------------------------------------------------------------

Solve for the value of \(y\):

\(-4x + 3y = 24\)

-Add \(4x\) to both sides:

\(-4x + 4x + 3y = 24 + 4x\)

\(3y = 24 + 4x\)

-Remember that the equation is in Standard Form:

\(3y = 4x + 24\)

-Divide both sides by \(3\):

\(\frac{3y}{3} = \frac{4x + 24}{3}\)

\(\boxed {y = \frac{4x}{3} + 8}\)

Martina tiled 260 squared feet of her kithchen floor. She picked a tile that is $2.49 per square foot. She paid a 7% sales tax. How much did she spend to buy enough tile for her project

Answers

Answer:

$692.72

Step-by-step explanation:

Given data

The total area of tile = 260 squared feet

cost per squared foot of tile= $2.49

Hence the total for 260 squared feet cost will be

=260*2.49

=$647.4

Let us find the amount of 7% Tax

=7/100*647.4

=0.07*647.4

=$45.318

Hence the amount spent in all is

=45.318+647.4

=$692.72

What is the result when the number 32 is increased by 25%?

Answers

Answer:

Step-by-step explanation:

32.00 increased by 25% is 40.00

The increase is 8.00

A small box measures 7 in. by 10 in. by 3 in. high. Find the volume of the box.

Answers

Answer:

210 in.

Step-by-step explanation:

Volume of a box = V = length x width x height

You don't have to know which number is the length, width and height since you are multiplying all of them together anyways.

V = 7in x 10in x 3in

V = 210 in

The volume of the box 210 cubic inches.

What is volume of cuboid?

The volume of a cuboid is defined as the total number of cubic units occupied by the cuboid completely. A cuboid is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.

The dimensions of given box is length=7 inches, width=10 inches and height=3 inches.

We know that, volume of cuboid is length×width×height

Now, volume =7×10×3

= 210 cubic inches

Therefore, the volume of the box 210 cubic inches.

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Find the value of x
52
(x+2)
2x
(x+10)
88°

Answers

Answer:

Step-by-step explanation:

Multistep income statement In 2011. Grice Incorporated sold land fpr $95,000 cash. The land had originally cost $50,000. Also, Grice sold inventory that had Cost $200,000 for 5275,000 cash. Operating expenves amounted to $52,000. Required Accounting for Merchandising Busnesses 223 a. Prepare a 2011 multistep income statement for Grice Incorporated. b. Assume that norpal operating activities grow evenly by 10% during 2012. Prepare a 2012 multistep inconre statement of Grice lncorporated. c. Determine thepercentage change in net income between 2011 and 2012 . d. Should the stoskholders have expected the results determined in requirement "e"? Explain your answer.

Answers

A multistep income statement is a kind of statement of earnings that separates a business's revenue and expenses into multiple categories to help calculate gross profit and net income more precisely. Grice Incorporated's 2011 multistep income statement is shown below:

Grice Incorporated Multistep Income Statement For the Year Ended December 31, 2011Sales Revenue $275,000Cost of Goods Sold: Beginning Inventory $0Add: Purchases $200,000. Goods Available for Sale $200,000Less: Ending Inventory $0Cost of Goods Sold $200,000Gross Profit $75,000. Operating Expenses: Selling Expenses $16,000Administrative Expenses $36,000Total Operating Expenses $52,000Income from Operations $23,000Other Income $95,000Net Income $118,000b.

The 2012 multistep income statement for Grice Incorporated is prepared based on the assumption that normal operating activities grow evenly by 10%. The statement is shown below:

Grice Incorporated Multistep Income Statement For the Year Ended December 31, 2012Sales Revenue $302,500Cost of Goods Sold: Beginning Inventory $0Add: Purchases $220,000Goods Available for Sale $220,000Less: Ending Inventory $0Cost of Goods Sold $220,000Gross Profit $82,500Operating Expenses: Selling Expenses $17,600Administrative Expenses $39,600Total Operating Expenses $57,200Income from Operations $25,300Other Income $0Net Income $25,300c.

The percentage change in net income between 2011 and 2012 is calculated as follows:

Change in Net Income = (Net Income 2012 - Net Income 2011) / Net Income 2011= (25,300 - 118,000) / 118,000= -78.1%Therefore, the percentage change in net income between 2011 and 2012 is -78.1%.d.

No, the stockholders should not have expected the results determined in requirement "e" because the percentage change in net income between 2011 and 2012 is -78.1%. The decrease in net income was caused by the absence of extraordinary gains in 2012, which were present in 2011. However, the growth in normal operating activities had a positive impact on the company's gross profit and income from operations in 2012. Therefore, the stockholders' expectations should have been based on a comprehensive analysis of the company's financial performance in both years.

The multistep income statement helps to present the financial results of a business with more accuracy by separating revenues and expenses into multiple categories. It also assists in identifying trends and growth rates of the company. In the case of Grice Incorporated, the net income decreased by 78.1% in 2012 due to the absence of extraordinary gains in 2011, but the growth in normal operating activities had a positive impact on the gross profit and income from operations.

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a number x is equal to 7x24x48. what is the smallest positive integer y such that the product xy is a perfect cube?

Answers

The smallest positive integer y is the product of these additional factors y = 2¹⁴ * 3⁴ * 7².

To find the smallest positive integer y such that the product xy is a perfect cube, we first need to find the prime factorization of x. Given that x = 7 * 24 * 48, we can break down the factors further:

x = 7 * (2³ * 3) * (2⁴ * 3)
x = 2⁷ * 3² * 7

Now, for xy to be a perfect cube, the exponents of all prime factors must be divisible by 3. Currently, the prime factorization of x has exponents 7, 2, and 1 for 2, 3, and 7, respectively.

To make each exponent divisible by 3, we must multiply x by additional factors:

For 2: (2⁷)³ = 2²¹, so we need 2⁽²¹⁻⁷⁾ = 2¹⁴
For 3: (3²)³ = 3⁶, so we need 3⁽⁶⁻²⁾ = 3⁴
For 7: (7¹)³ = 7³, so we need 7⁽³⁻¹⁾ = 7²

Hence, the smallest positive integer y is the product of these additional factors:

y = 2¹⁴ * 3⁴ * 7²


So, y is the smallest positive integer such that xy is a perfect cube.

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pls help there are 5 pics with multiple questions inside of them pls thank you

pls help there are 5 pics with multiple questions inside of them pls thank you
pls help there are 5 pics with multiple questions inside of them pls thank you
pls help there are 5 pics with multiple questions inside of them pls thank you
pls help there are 5 pics with multiple questions inside of them pls thank you
pls help there are 5 pics with multiple questions inside of them pls thank you

Answers

Answer:

1. LHJ

2. AB

3. Acute

4. Complement 30, supplement 120

5. AOD

6. 61

7. acute

8. 36

9. Octogon

Step-by-step explanation:

A test used to determine whether or not first-order autocorrelation is present is _____ test.
a. chi-square
b. t
c. Durbin-Watson
d. serial-autocorrelation

Answers

The test used to determine whether or not first-order autocorrelation is present is the Durbin-Watson test.

1. Fit a regression model to the data.

2. Obtain the residuals, which represent the differences between the observed values and the predicted values from the regression model.

3. Calculate the Durbin-Watson statistic, which is a ratio of the sum of squared differences between adjacent residuals to the sum of squared residuals.

4. Compare the calculated Durbin-Watson statistic to critical values from a Durbin-Watson table or use statistical software to determine if there is significant autocorrelation.

5. The Durbin-Watson statistic ranges from 0 to 4, where a value around 2 suggests no autocorrelation, a value below 2 indicates positive autocorrelation, and a value above 2 indicates negative autocorrelation.

6. By analyzing the Durbin-Watson statistic, researchers can make conclusions about the presence or absence of first-order autocorrelation in the regression model.

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Plz help I don’t want to fail

Plz help I dont want to fail

Answers

Answer:C

Step-by-step explanation:

Answer:

C. 3, 2, 0, -1, -3

Step-by-step explanation:

The more negative a number is, the lesser it is.

Count backwards: 4, 3, 2, 1, 0, -1, -2, -3, -4, ...

I hope this helped!

The binomial (x + 5) is a factor of x2 + 8x + 15. What is
the other factor?
2
+x
+x
(x + 3)
(x + 7)
(x + 12)
(x + 13)
+

Answers

Answer:x+3

Step-by-step explanation:

5×3=15

5+3=8x

Answer:

A

Step-by-step explanation:

5. The capital asset pricing model Sean holds a portfolio that is invested equally in three stocks. An analyst has used market- and firm-specific information to make expected return estimates for each stock, Each stock is described in the following table: The risk-free rate,Rf​, is 6 percent and the market return,Rm​is 10 percent. The line given on the following graph represents the security market line (SML.), which is derived from the CAPM equation: Rj =Rf+Bj+(Rm-Rf) Use the following graph with the security market line to plot each stock's beta and expected return, (Note: Click the points on the graph to see their coordinates.) Sometimes investors have different opinions about a stock's prospects and may think that a stock is either undervalued or overvalued. Determine the required rate of retum for each stock, and then use the analyst's expected retum estimates to determine whether he thinks evch stock in Sean's portfolio is undervalued, overvalued, or fairly valued.

Answers

Required rate of retum for each stock is:

Stock A: Rj = 6% + 0.5 x (10% - 6%) = 8%Stock B: Rj = 6% + 1.0 x (10% - 6%) = 10%Stock C: Rj = 6% + 1.5 x (10% - 6%) = 12%

Based on the CAPM and the analyst's expected return estimates, Stock A is overvalued, Stock B is fairly valued, and Stock C is undervalued.

How to determine the required rate of return for each stock.?

The CAPM equation is Rj = Rf + Bj x (Rm - Rf), where Rj is the required rate of return for the stock, Rf is the risk-free rate, Bj is the beta of the stock, and Rm is the market return.

Using the graph provided, we can see that Stock A has a beta of 0.5, Stock B has a beta of 1.0, and Stock C has a beta of 1.5. Given that the risk-free rate is 6% and the market return is 10%, we can calculate the required rate of return for each stock:

Stock A: Rj = 6% + 0.5 x (10% - 6%) = 8%Stock B: Rj = 6% + 1.0 x (10% - 6%) = 10%Stock C: Rj = 6% + 1.5 x (10% - 6%) = 12%

Next, we can compare the analyst's expected return estimates for each stock to their required rate of return to determine if they are undervalued, overvalued, or fairly valued. If the expected return is higher than the required rate of return, the stock is undervalued and may be a good investment.

If the expected return is lower than the required rate of return, the stock is overvalued and may not be a good investment. If the expected return is equal to the required rate of return, the stock is fairly valued.

For Stock A, the analyst expects a return of 7%, which is lower than the required rate of return of 8%. Therefore, Stock A is overvalued.

For Stock B, the analyst expects a return of 10%, which is equal to the required rate of return of 10%. Therefore, Stock B is fairly valued.

For Stock C, the analyst expects a return of 13%, which is higher than the required rate of return of 12%. Therefore, Stock C is undervalued.

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Find x, y, z. EXPONENTS!! please hurry.

Find x, y, z. EXPONENTS!! please hurry.

Answers

\(3^{9} . 2^{12} .5^{11}\)

Power :

An expression that represents repeated multiplication of the same factor is called a power.

Factor: The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.

the expression 5 x 5. This expression can be written in a shorter way using something called exponents.

5⋅5=5^2

An expression that represents repeated multiplication of the same factor is called a power.

The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.

3 to the first power 3

4^2 4 to the second power or 4 squared 4 ∙ 4

5^3 5 to the third power or 5 cubed 5 ∙ 5 ∙ 5

2^6 2 to the power of six

= \((3.5)^{4} (2.3)^{5} (2.5)^{7}\)

= \(3^{4+5} .2^{5+7} .5^{4+7}\)

=\(3^{9} . 2^{12} .5^{11}\)

Ans : \(3^{9} . 2^{12} .5^{11}\)

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Find x, y, z. EXPONENTS!! please hurry.

Which proportion would you use to find what percent 6 is of 40?

Answers

Answer:

6/100 = x/40

Step-by-step explanation:

6% is represented by 6/100, x is the variable in the proportion, and 40 is the whole you are finding the percentage of

a recent survey found that of all adults over wear glasses for driving. in a random sample of adults over , what is the probability that at least six wear glasses?

Answers

Let p be the probability of an adult over 50 wearing glasses for driving. Since we don't know the value of p, we can't use the binomial distribution directly. However, we can use the normal approximation to the binomial distribution since n is large (assuming n * p >= 10 and n * (1-p) >= 10).

Let X be the number of adults over 50 wearing glasses for driving in a random sample of n adults. Then X ~ Binomial(n, p) can be approximated by a normal distribution with mean µ = n * p and standard deviation σ = sqrt(n * p * (1-p)).

We want to find the probability that at least six adults over 50 in a random sample of n wear glasses for driving. This is equivalent to finding P(X >= 6) = 1 - P(X < 6) using the normal approximation.

To apply the normal approximation, we need to standardize the random variable X:

Z = (X - µ) / σ

Using continuity correction:

P(X >= 6) = P(X > 5.5)

Z = (5.5 - n * p) / sqrt(n * p * (1-p))

We can use the standard normal distribution table or calculator to find the probability:

P(Z >= (5.5 - n * p) / sqrt(n * p * (1-p)))

Since we don't know the value of p, we can use a conservative estimate of p = 0.5 (assuming 50% of adults over 50 wear glasses for driving). Then:

P(Z >= (5.5 - n * 0.5) / sqrt(n * 0.5 * (1-0.5)))

For example, if we sample n = 100 adults over 50, the probability of at least six wearing glasses is:

P(Z >= (5.5 - 100 * 0.5) / sqrt(100 * 0.5 * (1-0.5)))

= P(Z >= 0.5)

Using a standard normal distribution table or calculator, P(Z >= 0.5) = 0.3085.

Therefore, the probability of at least six adults over 50 wearing glasses for driving in a random sample of 100 is approximately 0.3085 or 30.85%.

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[Prompt]If Sam has three-fourths (3/4) of a yard of pipe, how many pieces can he cut the pipe into if each piece is one-eighth (1/8) yard?

Answers

If Sam has three-fourths (3/4) of a yard of pipe, then 6 pieces can he cut the pipe into if each piece is one-eighth (1/8) yard.

In the given question,

Sam has three-fourths (3/4) of a yard of pipe.

We have to find how many pieces can he cut the pipe into if each piece is one-eighth (1/8) yard.

Total length of a yard of pipe is 3/4.

We have to cut the a yard of pipe in the size of 1/8.

Since we have to distribute the 3/4 in 1/8 so we divide 3/4 by 1/8 to find the answer.

Now the expression should be

\(=\frac{3/4}{1/8}\)

To solve this expression multiply 8 on numerator and denominator.

We multiply 8 on both numerator and denominator because when we include any number by our self then we have to perform the  same on both side.

\(=\frac{3/4\times8}{1/8\times8}\)

Simplifying

\(=\frac{3\times2}{1}\)

\(={3\times2}\)

\(=6\)

Hence, if Sam has three-fourths (3/4) of a yard of pipe, then 6 pieces can he cut the pipe into if each piece is one-eighth (1/8) yard.

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can somebody find the volume of the cone on #2?
thank you!!

can somebody find the volume of the cone on #2? thank you!!

Answers

Answer:

\( 4,220.16 \: {units}^{3} \)

Step-by-step explanation:

Diameter of cone = 24 units

Radius of cone (r) = 24/2 = 12 units

Height of cone (h) = 28 units

\(V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ 3} \times 3.14 \times {(12)}^{2} \times 28 \\ \\ = \frac{1}{3} \times 3.14 \times 144 \times 28 \\ \\ = 3.14 \times 1,344 \\ \\ = 4,220.16\: {units}^{3} \)

What is x equal to????

What is x equal to????

Answers

Answer:

x = 20

Step-by-step explanation:

The 3 arcs UV, VW, WX form a semicircle, so sum to 180° , that is

4x + 2 + x + 78 = 180

5x + 80 = 180 ( subtract 80 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

3. (05.06 MC)
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y<-
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)

Answers

Answer:

Step-by-step explanation:

y > 3x + 10

y < -3x - 1

Part A:

You'd graph the given systems of linear inequalities the same way as you graph the linear equations.  

To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph.  Use a dashed line (because of the ">" symbol).  

Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).  

Pick a test point on either side of the boundary line and plug it into the original problem.  This will help determine which side of the boundary line is the solution.  Plug in a test point that is not on the boundary line.

Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.  

y > 3x + 10

0 > 3(0) + 10

0 > 0 + 10

0 > 10 (False statement).  

y < -3x - 1

0 < -3(0) - 1

0 < 0 - 1

0 < -1 (false statement).  

Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.  

Part B:

You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.  

y > 3x + 10

10 > 3(8) + 10

10 > 24 + 10

10 > 34 (False statement).  

y < -3x - 1  

10 < -3(8) - 1

10 < -24 - 1

10 < -25 (false statement).  

Therefore, (8, 10) is not a solution to the system.    

3. (05.06 MC)Graph the system of inequalities presented here on your own paper, then use your graph to

choose an expression for the following phrase. fifteen divided by unknown number. A) (3y)(3) B) y/15 C) 15/y D (5y)(3)

Answers

Answer:

C) 15/y

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

6(3 – 5w) = 5(4 – 2w) - 20w

Answers

Answer:

There are no solutions

Step-by-step explanation:

6(3−5w)=5(4−2w)−20w  

6(3−5w)=5(4−2w)−20w

(6)(3)+(6)(−5w)=(5)(4)+(5)(−2w)+−20w

18+−30w=20+−10w+−20w

−30w+18=(−10w+−20w)+(20)

−30w+18=−30w+20

−30w+18=−30w+20  

−30w+18+30w=−30w+20+30w

18=20  

18−18=20−18

0=2

A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defective. What is the probability that the first two electric toothbrushes sold are defective

Answers

The probability that the first two electric toothbrushes sold are defective is 0.016.

The probability of an event, say E occurring is:

\(P(E)=\frac{n(E)}{N}\)

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let X = the number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is n = 20.

The number of defective electric toothbrushes is x = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

\((\left {{20} \atop {2}} \right. )\)\(=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!} =\frac{20*19*18!}{2!*18!} = 190\)

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

\((\left {{3} \atop {2}} \right. )\)\(=\frac{3!}{2!(3-2)!} =\frac{3!}{2!1!} =\frac{3*2!}{1!2!} =3\)

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

\(\frac{3}{190}\\ =0.01579\\=0.016\)

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

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HELP PLS ASAP I HAVE 1 HOUR TO FINISH!!!
The table shows the number of grams of sugar that will dissolve in the 100mL of water at different temperatures in degree Celsius
Which function best models the data?
A: g(t) = 2.07(166.1)^t
B: g(t) = 174.4(1.008)^t
C: g(t) = 1.008(174.4)^t
D: g(t) = 166.1(2.07)^t

HELP PLS ASAP I HAVE 1 HOUR TO FINISH!!!The table shows the number of grams of sugar that will dissolve

Answers

Answer:

C

Step-by-step explanation:

1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =

Answers

First you will get 4dz

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Explain how a Roman senator was chosen. What was the role of the people in choosing a senator? What was the primary qualification required in order to join the Roman Senate? when running a 100 meter race tony reaches his maximum speed when he is 35 meters from the starting line and 5 seconds have elapsed since the start of the race. tony maintains this maximum (constant) speed for the rest of the race. if tony is 67 meters from the starting line 9 seconds after the start of the race: what is tony's max speed? From the set {22, 14, 12}, use substitution to determine which value of x makes the equation true. 2x = 24 PLEASE HELP WITH THIS ECONOMICS ASSIGNMENT This lesson examines many concepts, including opportunity costs. For this discussion, you will write a brief scenario that describes opportunity costs.For example:After working weekends for the past three years, Janet has saved $7,000. Her goal is to buy a new 90-inch HD television. Before she buys the TV, she is offered an opportunity to travel with her best friend to Australia and New Zealand. The trip will cost about $7,000.Janets opportunity costs are either missing out on purchasing a new television (if she chooses to travel) or forgoing her plan to purchase a television (if she travels abroad).Now, write your own scenario that illustrates opportunity costs. ASAP HELP What is the exact area of the circle below? Show your work. I will be happy if you helped me!!! Given z =-1 i, which letter represents z^3? Explain the causes and effects of the United States entering world war 2 can some please help me with this Which are important to consider when identifying the purpose of a speech?. 2. Tom spins a spinner and rolls a fair number cube. What is theprobability that the spinner will not land on green, and the cube will notland on 4?*A 1/4B 5/24C 1/24D 5/8 a 100 gallon tank is filled with a salt solution containing 10 lbs of salt. pure water is pumped in at a rate of 5 gallons per minute and pumped out at the same rate. how many minutes will it take the amount of salt to drop to 6 lbs? round to one decimal place. I need to know the answer to the top one How much net force is required to accelerate a 5 kg toy car, initially at rest to a velocity of 3 m/s in 6 s? Hello! Need some help on part c. The rubric, question, and formulas are linked. Thanks! Read through each sentence carefully and correct any errors that you find (e.g., subject-verb agreement, look-alikes/sound-alikes, capitalization, misplaced or missing apostrophes, etc.). Many sentences have more than one error in them.Some (two) of the sentences are correct; you can either put a "C" next to them or leave them alone. :)GATORS AND CROCS(1) With their scaly bodies slit eyes and long tails alligators and crocodiles look a lot likedinosaurs. (2) In fact alligators and crocodiles descended from the same family as dinosaurs. (3) While its true that alligators and crocodiles look a lot alike, they differ in three ways.(4) First alligators and crocodiles are found in different parts of the world. (5) Alligators be found in China, Central America, and South America. (6) On the other hand, crocodiles are found in Africa (especially around the Nile River), Australia, Southeast Asia, India, Cuba, and the West Indies. (7) Only in the southern United States is both alligators and crocodiles found. (8) In all cases however alligators and crocodiles live in hot, tropical regions. (9) Reptiles were cold-blooded, so at temperatures below 65 degrees, alligators and crocodiles gets sluggish and cannot hunt.(10) Alligators and crocodiles also differ in appearance. (11) Alligators has broader flatter snouts that are rounded at the end. (12) Crocodiles has narrower almost triangular snouts. (13) The best way to tell the difference is two view both from the side when they have theyre mouths closed, you can see only upper teeth on a alligator, but you can also see four lower teeth on a croc. (14) If you get really close you can see that alligators have a space between their nostrils whereas the nostrils of crocs are very close together.(15) Finally alligators and crocodiles are temperamentally different. (16) Alligators are not aggressive they are even a bit shy. (17) They will lie in wait along a riverbank for prey when they are on land, they move slowly and unevenly. (18) Crocodiles, however, are much more aggressive. (19) They are fast and mean, they often stalk there prey. (20) The Australian freshwater crocodile and the Nile crocodile can even run on land, with their front and back legs working together like a dogs legs.(21) Nile crocodiles kill hundreds of people every year.(22) Alligators and crocodiles have outlived the dinosaurs but they might not survive hunters who want to turn them into shoes wallets briefcases and belts. (23) In 1967 the U. S. government declared alligators an endangered species. (24) Fortunately American alligators have repopulated and their now reclassified as threatened. (25) Importing crocodile and alligator skins are banned worldwide but some species is still threatened. (26) These frightening and fascinating ancient creatures need help now if they were to survive. Guess how old I am. hints: I'm not really in college, I'm in Middle School. When you find out my age you are in for a shock for I, I am the youngest in my dock. less than 13, higher than 8 once you get it right, it's time to celebrate. P.S (The reason that the category is "Math" is because I am a Mathmagician So don't make this a compotion!) What is one of the main reasons mama bought the house a) ax-yb) 54x+2yc) a+b-c+2abd) 49x-154xy+9y please help me I am not good at math How often does always never sometimes 1. a parallelogram is equilateral. 2. two pairs of consecutive sides of a rhombus are congruent 3. kies have at least one pair of congruent : opposite angles. Kansas Pizza Pantry opened its first restaurant in Lawrence, Kansas in 1985. Almost immediately after the first location opened, it expanded from Kansas Pizza Pantry to more than 250 locations in more than 30 states and 11 countries. Kansas Pizza Pantry completed an initial public offering in August 2000. Several years ago, Silver Capital completed the acquisition of Kansas Pizza Pantry and, as a result of the acquisition, the company's common stock is no longer publicly traded.KANSAS PIZZA PANTRY, INC., AND SUBSIDIARIESConsolidated Statements of Operations(amounts in thousands, except for per share data)Year 3Year 2Year 1Revenues:Restaurant sales$633,106$652,685$665,616Royalties from licensing agreement6,7228,2396,580Domestic franchise revenues4,2002,9342,757International franchise revenues3,1532,1782,121Total revenues647,181666,036677,074Costs and expenses:Food, beverage and paper supplies149,732155,181165,526Labor237,383247,850247,276Direct operating and occupancy142,920142,473140,367Cost of sales530,035545,504553,169General and administrative50,83151,04151,642Depreciation and amortization37,15640,33140,299Pre-opening costs3,3691,8934,478Loss on impairment of property and equipment18,95223,44113,336Store closure costs1,7585641,033Litigation, settlement and other costs8,9091,659736Total costs and expenses651,010664,433664,693Operating (loss)/income(6,279)3,30312,381Interest expense, net(26)(783)(1,324)(Loss)/income before income tax (benefit)/provision(6,305)2,52011,057Income tax (benefit)/provision(5,239)(2,141)2,395Net (loss)/income$(1,066)$4,661$8,662Net (loss)/income per common share:Basic$(0.07)$0.19$0.34Diluted$(0.07)$0.19$0.34Weighted average shares used in calculating net (loss)/income per common share:Basic24,73824,56425,193Diluted24,73824,39325,211KANSAS PIZZA PANTRY, INC., AND SUBSIDIARIESConsolidated Balance Sheets(in thousands, except for share data)Year 3Year 2AssetsCurrent assets:Cash and cash equivalents$14,465$23,724Other receivables12,84413,041Inventories6,4276,557Current deferred tax asset, net8,6757,576Prepaid rent3065,957Other prepaid expenses2,8182,281Total current assets45,53559,136Property and equipment, net242,446256,416Noncurrent deferred tax asset, net22,60125,511Goodwill4,7224,872Other intangibles, net5,0874,964Other assets8,8137,409Total assets$329,204$358,308Liabilities and stockholders equityCurrent liabilities:Accounts payable$17,675$11,763Accrued compensation and benefits23,92323,701Accrued rent21,17420,287Deferred rent credits4,3584,245Other accrued liabilities14,19011,915Gift card liability14,87721,140Store closure reserve79351Total current liabilities96,27693,402Long-term debt---22,800Other liabilities9,9868,728Deferred rent credits, net of current portion33,67732,978Income taxes payable, net of current portion32910,125Commitments and contingencies--Stockholders equity:Common stock$0.01 par value, 80,050,000 sharesauthorized, 27,100,000 and 26,700,000 shares issued and outstanding at end of Year 3, and Year 2, respectively271267Additional paid-in capital174,563174,500Retained earnings14,10215,508Total stockholders equity188,936190,275Total liabilities and stockholders equity$329,204$358,308Required:Compute the following ratios for Year 3 using information from the company annual report that was issued before Kansas Pizza Pantry was acquired. Assume a market price per share of $1.26.(Round your answers to 2 decimal places. Enter percentage answers rounded to 2 decimal places (i.e. 0.1234 should be entered as 12.34). Negative amounts should be indicated by a minus sign.)Ratios are: Return on equity, Net profit margin, Inventory turnover, Current ratio, Quick Ratio, Debt-to equity ratio, Price/earnings ratio.