Solve using substitution.5x + 4y = -12x = -8

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

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Answer:

2,100

Step-by-step explanation:

first you want divide 140 by 20 to find the the amount of calories per cracker so 140 divided by 20 is 7 then all you need to do is multiply 7 time the 300 crackers to get you total of 2,100.

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Hope it helps! 0.0

The steps to conduct the steps of hypothesis testing on these data are:

The hypothesis will be:

Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students  who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.

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P = ∫(i^2 dl / 6πε0 c^3) × a^2

where q is the charge, ε0 is the permittivity of free space, c is the speed of light, and a is the acceleration of the charge.

Now consider a small element of length dl around the ring through which the current i flows. The power radiated from this element can be written as

dP = (i^2 dl / 6πε0 c^3) × a^2

where a is the acceleration of the charge in the element due to the changing magnetic field.

The total power radiated from the entire ring is obtained by integrating this expression over the length of the ring.

P = ∫(i^2 dl / 6πε0 c^3) × a^2

This is the general expression for the radiated power of the current distribution around the ring.

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Using the together rate, it is found that they would prepare the solution in 1.71 minutes working together.

It is the sum of each separate rate.

In this problem, the rates are given by:

Hence the together rate is given by:

\(\frac{1}{x} = \frac{1}{6} + \frac{1}{6} + \frac{1}{4}\)

\(\frac{1}{x} = \frac{1}{3} + \frac{1}{4}\)

\(\frac{1}{x} = \frac{4 + 3}{12}\)

7x = 12

x = 12/7

x = 1.71.

They would prepare the solution in 1.71 minutes working together.

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Answer:

(1/2)(12)(16) + (1/2)π(6^2)

= (96 + 18π) square cm

= about 152.55 square cm

Answer:

Reserve rate = 9%

Step-by-step explanation:

Reserve ratio/rate is the percentage of deposits which commercial banks are required to keep as cash, as directed by the central banks.

first, let us calculate the reserve amount as follows:

Reserve = Deposit - (free amount to lend out)

Reserve = 28,000 - 25,480 = $2,520

\(Reserve\ rate = \frac{Reserves}{Deposits} \times100\\Reserve\ rate = \frac{2520}{28000} \times100\\=\frac{252000}{28000} =9\%\)

Therefore the reserve rate = 9%

Answer:

I believe the answer may be 31.5cm.

Step-by-step explanation:

I first found the area of the total region which was 70cm. From there I found the area of the triangle to the left of the region by doing 6x7 which is 42, and multiplied by 1/2 because it is a triangle. I did the same to the triangle on the right, doing 5x7 which is 35, and multiplied by 1/2 since this is also a triangle. Finally, I subtracted both totals of 21, and 17.5 from the 70, getting a grand total of 31.5cm.

Answer:

31.5 cm²

Step-by-step explanation:

To find the area of the crossed region, subtract the areas of the two triangles from the area of the rectangle.

Formulae:

Area of the rectangle

⇒ A = (4 + 6) × 7

⇒ A = 10 × 7

⇒ A = 70 cm²

Area of triangle 1

⇒ A = ¹/₂ × 6 × 7

⇒ A = 3 × 7

⇒ A = 21 cm²

Area of triangle 2

⇒ A = ¹/₂ × 5 × 7

⇒ A = 2.5 × 7

⇒ A = 17.5 cm²

Area of the crossed region

⇒ A = 70 - 21 - 17.5

⇒ A = 49 - 17.5

⇒ A = 31.5 cm²

Answer:

120

Step-by-step explanation:

Using factorial, we can calculate the total possible number of combinations to line up.

5! = 120.

5! is another way of saying 5 × 4 × 3 × 2 × 1

Answer:

117

Step-by-step explanation:

The average of all 7 people is the total weight of the original 6 people, plus the weight of the 7th person, all divided by 7.

For problems like this involving an average of numbers that are "close" together, here is a different strategy for solving the problem that you might like to try.

The original 6 people have an average weight of 173, which is 8 pounds more than the average of all 7 people. So all together, the weight of those 6 people is 6*8=48 pounds over the 165 average. That means the 7th person's weight must be 48 pounds below the 165 average.

So the weight of the 7th person is 165-48 = 117 pounds.

Answer:

The 7th person weighted 117

Step-by-step explanation:

Average Value

The mean or average of a number n of measurements is defined as the sum of all values divided by n.

\(\displaystyle \bar x=\frac{\sum x_i}{n}\\\)

The question gives us some input data. The average weight of n=6 people is \(\bar x=173\). With this information, we can set this relationship:

\(\displaystyle 173=\frac{\sum x_i}{6}\)

From the above equation, we know the sum of the first 6 persons:

\(\sum x_i=6*173=1,038\)

When a 7th person gets on, the new average gets down to 165 and n=7. The equation for the new average is:

\(\displaystyle 165=\frac{\sum x_i+X}{7}\)

Note we have a new summand to the numerator. It's the weight of the 7th person. Let's solve for X:

\(\displaystyle 165=\frac{1,038+X}{7}\)

Multiply by 7:

\(7*165=1,038+X\)

Operate and swap sides:

\(1,038 +X=1,155\)

\(X=1,155-1,038=117\)

The 7th person weighted 117

Answer:



Root 

Step-by-step explanation:

Answer:

The distance between (2,8) and (-6,-2)

is √100+64

Step-by-step explanation:

Answer:

Step-by-step explanation:

We want to model the growth of a population of bacteria using an exponential function. We find it convenient to use an "exact" exponential function that relies directly on the numbers given in the problem statement. That function has the form ...

  p(t) = (initial population) × (growth factor)^(t/(growth period))

where the "growth factor" is the multiplying factor of the population in period "growth period."

__

Here, the "growth factor" is 4800/4000 = 1.2, and the corresponding "growth period" is 5 hours. Then the population function can be ...

  p(t) = 4000×1.2^(t/5)

__

The population after 15 hours is ...

  p(15) = 4000×1.2^(15/3) = 4000×1.728

  p(15) = 6912

__

To change this to the form ae^(kt), we find the value of k to be ...

  k = ln(1.2^(1/5)) = ln(1.2)/5 ≈ 0.036463

Then the desired form of the function for p is ...

  p(t) = 4000·e^(0.036463t)

_____

Additional comment

In the form p=ae^(kt) the value of k is often rounded to 3 or 4 decimal places. We believe that best accuracy is obtained if k has at least the number of significant digits expected in the answer. Here, the population of almost 7000 has 4 significant digits, so we choose to express k to 5 significant figures. That still gives a small error relative to the first formula that is only "corrected" by rounding the result to an integer.

The standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.

What do you mean by standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The standard deviation of the difference in the weights of the two oranges is equal to the square root of the sum of the squares of the standard deviations of the two oranges. This is because the weights of the two oranges are independent random variables.

Therefore, the standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.

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Answer:

the answer is A

Step-by-step explanation:

so the numbers are just a fill in but yes the answer is A

Answer:

The salesperson's commission for this month is: $4116.75

Step-by-step explanation:

Given

Current month's paid invoice's total = $49,900

Commission =  8.25% = 0.0825

To determine

What is the salesperson's  commission for this month?

The salesperson's  commission for this month can be determined by multiplying the invoice's total i.e. $49,900 with the commission percentage of 0.0825.

Thus,

Commission amount =  49,900 × 8.25%

                                  =  49,900 × 0.0825           ∵  8.25% = 0.0825  

                                  = $4116.75

Therefore, the salesperson's commission for this month is: $4116.75

We have the DE, \(y'+y=0\), verify that \(y=e^{\frac{-x}{8}}\) is a solution.

We have, \(y=e^{\frac{-x}{8}}\), find \(y'\).

=> \(y'=\frac{-1}{8} e^{\frac{-x}{8}}\)

Plug \(y\) and \(y'\) into the DE.

=> \(y'+y=0\)

=>\((\frac{-1}{8} e^{\frac{-x}{8}})+(e^{\frac{-x}{8}})=0\)

=> \(e^{\frac{-x}{8}}=\frac{1}{8} e^{\frac{-x}{8}}\)

=> \(e^{\frac{-x}{8}}\neq \frac{1}{8} e^{\frac{-x}{8}}\)

Thus, \(y=e^{\frac{-x}{8}}\), is not a solution to the given DE.

This is the final static variable for all instances.

That makes the behaviour much more obvious. Modern IDEs will usually suggest changing the second listing into the third.

There is no reason to have an inline declaration initializing the value like the following, as each instance will have its own NUMBER but always with the same value. This is the same than to have only one final static variable for all instances.

The static keyword means the value is the same for every instance of the class. The final keyword means once the variable is assigned a value it can never be changed. The combination of static final in Java is how to create a constant value.

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April bought 16 kilograms of soil in total.

We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.

April bought:

9 kilograms of soil for violets

4 kilograms of soil for tulips

3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)

Therefore, April bought 16 kilograms of soil in total.

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Answer:

48

Step-by-step explanation:

Substitute c=6 and d=3 in your formulas

\(5*6 + 2*3^{2}\\ 30 + 18\\48\)

Answer:

The cost function for \(C(x) = 0.06\cdot e^{0.08\cdot x}\) is \(c(x) = 0.75\cdot e^{0.08\cdot x}+10\).

Step-by-step explanation:

The marginal cost function (\(C(x)\)) is the derivative of the cost function (\(c(x)\)), then, we should integrate the marginal cost function to find the resulting expression. That is:

\(c(x) = \int {C(x)} \, dx + C_{f}\)

Where:

\(C_{f}\) - Fixed costs, measured in US dollars.

If we know that \(C(x) = 0.06\cdot e^{0.08\cdot x}\) and \(C_{f} = \$\,10\), then:

\(c(x) = 0.06\int {e^{0.08\cdot x}} \, dx + 10\)

\(c(x) = 0.75\cdot e^{0.08\cdot x}+10\)

The cost function for \(C(x) = 0.06\cdot e^{0.08\cdot x}\) is \(c(x) = 0.75\cdot e^{0.08\cdot x}+10\).

Answer: 8

Step-by-step explanation:

Im guessing this is your question

Noah's family bought some fruit bars to put in the gift bags. They bought one box each of four flavors: apple, strawberry, blueberry, and peach. The boxes all had the same number of bars. Noah wanted to taste the flavors and ate one bar from each box. There were 28 bars left for the gift bags. Use the tape diagrams to determine how many fruit bars were originally in each box.

Answer:

Step-by-step explanation:

x-5

me bye u see okay later

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

$77

Step-by-step explanation:

7 people, each person paid 17, 17x7 = 119, salad was 42, 119 - 42 = 77

Answer:

this is a linear equation. whatever value you set for x, you substitute and make a table that would probably look like this.

      x      |     y

-------------|-----------

5            | 17/3       <------- what would y be if x is 5?

3             | 5                     lets substitute x with 5

               |                          y=1/3*5+4

               |                         y=5/3+4

               |                        y=17/3

Answer:

false

Step-by-step explanation:

`Slope = \(\frac{rise}{run}\) = \(\frac{-2}{1}\). So, it is false.

Answer:

False

Step-by-step explanation:

Slope = Change in y/ Change in x

=(1-3)/(2-1)

=-2

Answer:

-14x² - x + 4

Step-by-step explanation:

(-10x² + 5x - 3) - (4x² + 6x - 7)

= (-10x² + 5x - 3) - (+4x²) - (+6x) - (-7)

= (-10x² + 5x - 3) -4x² -6x +7

= -10x²-4x² +5x-6x -3+7

= -14x²  - x + 4

Answer:

take the population mean divided by four

Step-by-step explanation:

Answer:

The standard form of the equation of a circle with center at (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

We are given that the center of the circle is (4, -1), so h = 4 and k = -1. We also know that the circle passes through the point (-4, 1), which means that the distance from the center of the circle to (-4, 1) is the radius of the circle.

The distance between two points (x1, y1) and (x2, y2) is given by the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

So the radius of the circle is:

r = sqrt((-4 - 4)^2 + (1 - (-1))^2) = sqrt(100) = 10

Now we can substitute the values of h, k, and r into the standard form equation of a circle:

(x - 4)^2 + (y + 1)^2 = 10^2

Expanding the equation gives:

x^2 - 8x + 16 + y^2 + 2y + 1 = 100

Simplifying and putting the equation in standard form, we get:

x^2 + y^2 - 8x + 2y - 83 = 0

Therefore, the equation in standard form of the circle with center at (4, −1) and that passes through the point (−4, 1) is:

x^2 + y^2 - 8x + 2y - 83 = 0

The sequence of the number of circles indicates that for the 10th case,  the number of circles are; 111 circles on the lower left and 111 circles on the top right

Please find attached a drawing of the pattern for the 10th case, created with MS Word

A sequence is an orderly arrangement of values or objects following a specified pattern.

The first pattern indicates that the number of circles in the first column on the left are 2. The number of circles located in the second row from the left side are 3

The second pattern indicates that the number of circles in the first column on the left are 3. The number of circles located in the second row from the left side are 4

The sequence of pattern in the nth case is therefore;

The number of circles in the first column on the left in the nth case are n + 1. The number of circles located in the second row from the left side are n + 2, and the number of squares circles between the column on the left and the row of circles on the top are n each, which indicates;

The number of circles in the first column on the left in the 10th case are 10 + 1 = 11. The number of circles located in the second row from the left side are 10 + 2 = 12

The dimensions of the square of circles to the left of the first column and above which the horizontal row of circles at the top are located are each 10 units wide and 10 units in height

Please find attached the drawing of case 10 creates with MS Word

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The solution to the linear system is c = -6 and d = 3.

To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:

(1) 12c + 28d = 12

(2) -20c + 16d = 168

To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:

(1) 60c + 140d = 60

(2) -60c + 48d = 504

Now, we can add the equations:

(60c + 140d) + (-60c + 48d) = 60 + 504

188d = 564

d = 564/188

d = 3

Substituting the value of 'd' back into equation (1):

12c + 28(3) = 12

12c + 84 = 12

12c = 12 - 84

12c = -72

c = -72/12

c = -6

The solution to the linear system is c = -6 and d = 3.

Now let's analyze the second linear system:

(1) 7x - 3y = 43

(2) 7x - 3y = 13

By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.

The linear system has no solution.

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