Jason is making pumpkin bread. He needs 4 cups of pumpkin for every 3 cups of sugar. What is the ratio of cups of sugar to cups of pumpkin that Jason will need?

A. 3 to 4
B. 4 to 3
C. 4 to 7
D. 7 to 3​

Answer:

A model for height h of the penny t seconds after the penny dropped ​is;

Explanation:

Given that the penny was dropped from a hot-air balloon that moves at a constant rate of;

Note that the penny will also have the same initial rate.

At the point when the penny was dropped they are already at height;

The gravitational pull on the penny (acceleration due to gravity);

The height of the penny at time seconds after it was dropped can be modelled using the equation of motion;

Where;

Substituting the given values we have;

Therefore, a model for height h of the penny t seconds after the penny dropped ​is;

Answer: 121°

The first to solving this problem is to first find the missing angle in the triangle.

Three angles in a triangle have to add up to 180°

We are given the angles 87° and 34°, so now let's add the two given angles

87° + 34° = 121°

Now let's take 180° and subtract it from 121° to get the missing angle in the triangle

180°-121°=59°

Now we know the missing angle is 59°, we can notice that the angle 59° is also on a straight line and two angles on a straight line must add up to 180°

So let's now subtract 180° from 59°

180°-59°=121°

Answer:

  A)  121°

Step-by-step explanation:

Angle z is an exterior angle of the triangle. Relative to that exterior angle, the two marked angles are referred to as "remote interior angles." The relation between them is ...

  an exterior angle is equal to the sum of the remote interior angles.

In this case, that means ...

  z° = 34° +87° = 121°

Answer:

0.1241

Step-by-step explanation:

Given that:

Critical path = 37 days

Variance total = 27 days

Completion date (x) = 43 days

We obtain the Zscore :

Zscore = (x - critical path) / variance total

Zscore = (43 - 37) / √27

Zscore = 6 / √27

Zscore = 1.1547

Zscore = 1.155

Hence, probability of completing in 43 days :

P(Z > 43) = 1 - P(Z < 43)

P(Z < 43) = 0.8759

P(Z > 43) = 1 - 0.8759 = 0.1241

Step-by-step explanation:

look at the picture I have sent

Step-by-step explanation:

\((9\pi \frac{2}{2} )\div 3\pi \\ \)

\( \frac{9\pi}{3\pi} \\ \)

\(3\pi\)

3π is the answer

1. 76.56.

2. 96

3. The largest solution to the equation x²+16x+28=138 is 6.71.

4. The smallest solution to the equation x²+14x+14=145 is 5.96.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.

2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.

3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).

4.  This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).

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1.  For the given equation, c need to be 90.25 to complete the square.

2. 225

3. The largest solution to the equation x²+16x+28=138 is 6.

4. The smallest solution to the equation x²+14x+14=145 is -14.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result

(19/2)² = 90.25.

2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result

(30/2)² = 225.

3. The largest solution to the equation x²+16x+28=138 is 6.

This can be calculated by using the quadratic formula to solve the equation.

(a=1, b=16, c=28)

x = -8 ± √((16)² - 4(1)(28))/2(1).

x = -8 ± √(240)/2

x = 6 or -14.

Since 6 is the larger solution, it is the largest solution to the equation.

4.  The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.

a=1, b=14, and c=14

x = [-14 ± √(142-4(1)(14))]/(2(1))

x = [-14 ± √(196)]/2

x = [-28/2] or [14/2]

x = -14 or 7

Therefore, the smallest solution for x2+14x+14=145 is x=-14.

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Answer:

To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.

Our length is 2ft, since it's a rectangle the other side is 2ft as well.

The width is 3ft, and the other half is 3ft.

So, basically to get the area of the hole, it'd be 3*2=

Which, it's 6sq ft.

Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3

Given the expression:

You can simplify it as follows:

1. By definition:

Then:

2. Apply the Quotient of Powers Property, which states that:

Where "b" is the same base and "m" and "n" are exponents.

Then, you can set up:

You can use this formula to subtract the fractions:

Therefore, you get:

Hence, the answer is: First option.

By using the quotient power property, we can easily simplify this equation, and option A (\(x^1/6\) ) is the correct answer.

We can simplify it as follow:

By applying the quotient power property which implies that Exponents are subtracted when dividing two powers with the same base-

\(b^m/b^n=b^m^-b^n\)          

Here, b is the same base, and n and m are  exponents

we get:

\(x^2/3 ^-x^1/2\)

Now we have to subtract power and it can be done by using the formula:

\(a/b-c/d = ad-bc/bd\)    

By using this formula we get:

\(X^(2)^(2)^-^(3)^(1)/^(3)^-^(2) = x^4^-^3/^6 = x^1/^6\)

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Answer:

a. 106 degrees

Step-by-step explanation:

m=measure of angle 1; m-32 degrees=measure of supplement

m+(m-32 degrees)=180 degrees Add 32 degrees to each side.

2m=212 degrees Divide each side by 2

m=106 degrees ANSWER: The measure of angle 1 is 106 degrees

CHECK:

106+(106-32)=180

106+74=180

180=180

Answer:

FALSE

Step-by-step explanation:

\(\frac{x}{y}\) and \(\frac{y}{x}\) are not equal.

If we assign numbers to both variables, for example x=1 and y = 2, we get:

\(\frac{1}{2}\) \(\neq\) \(\frac{2}{1}\) . This shows that .5 is not equal to 2, therefore a fraction of something (x) is not always equal to a fraction of another something.

Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

Answer:

One bowl has 1 yellow, 1 red, and 2 green apples. The other bowl has 5 each of boysenberries, strawberries, blueberries, and blackberries.

Step-by-step explanation:

Answer:

the answer is 63 green marbles

Step-by-step explanation:

Answer:

Green marbles are probably = 62.5.

Step-by-step explanation:

Since Jan completes 60 trials and pulled green 15 times, the probability of any marble being green can be calculated as:

= 15/60

= 0.25

With 250 marbles in the bag, using the probability value of green marbles calculated above, the number of green marbles can be estimated as:

= 0.25 of 250

= 62.5

This shows that since there is a 25% probability of obtaining a green marble from 60 trials of pulling colored marbles out of the bag containing 250 marbles, then the total number of green marbles will be equal to 62 or 63.

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer: C=D\A-B THAT IS THE ANSWER

Step-by-step explanation:

Answer:

Situation B is a function.

Step-by-step explanation:

We know that,

A function is a relation in which every element in the domain i mapped to a unique element in the co-domain.

That is, every element in the domain must have a unique image.

So, we see that,

Situation A = {student's name, all the colors that the student likes}

Here, the students can have more than one color which they like.

Thus, this relation is not a function.

Situation B = {student's name, the student's favorite math teacher}

Here, the students can have only one favorite math teacher.

So, this relation is a function.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - 5 = 8

y = 13

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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line AB is original figure, line A'B' is transformed figure. the length A'B' is given by √[(2.5x₂-2.5x₁)²+(2.5y₂-2.5y₁)²]

What is dilation?

A process of transformation in which an image or figure changes from the original shape.

What is dilating point?

The point which is acted as the center for all contraction and expansion is termed as dilation point.

let, point A is (x₁,y₂) and point B is (x₂,y₂). By using scale factor 2.5, both A and B transformed to the position A' and B'.

hence, A' = (2.5x₁, 2.5y₁) and B'=(2.5x₂,2.5y₂)

now length of A'B' =√[(2.5x₂-2,5x₁)²+(2.5y₂-2.5y₁)²]

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Answer:4.2

Step-by-step explanation:

a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.

b) An equation representing the situation is x = (125 - 80)/5.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

The mathematical operations provide solutions to mathematical problems using operands.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

The total number of balloons that Andre has = 125

The number of balloons remaining after hanging some for the school party = 80

The difference (number of balloons used) = 45 (125 - 80)

The number of friends who hang the balloons = 5

The number of balloons hung by each friend of Andre = 9 (45/5)

Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.

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Answer:

The answer is 2

Step-by-step explanation:

because if you can add the 9 and the 4 you will get  13 and you subtract 13 from 11 and you get 2.I hope that helps

Answer:

Step-by-step explanation:

Equation is y = -2*x + 1

Hope this helps..

Answer:

21km

Step-by-step explanation:

1km=100000cm

14x150000=2100000cm=21km

The distance in real life in kilometers by the given scale factor will be 21 kilometers.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

As per the given,

Scale factor = 1 : 150000

It means 1 cm will convert to 150000 cm.

In real life = 14 x 150000 = 2100000 cm

2100000 cm = 21000 m = 21 kilometer

Hence "The distance in real life in kilometers by the given scale factor will be 21 kilometers".

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The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

\( \displaystyle AC = 2.18\)

Step-by-step explanation:

we are given a right angle triangle where:

since BC is the opposite side and AC is is the adjacent side of the triangle therefore we can consider using tan function given by

\( \displaystyle \tan( \theta) = \frac{opp}{adj} \)

substitute:

\( \displaystyle \tan( {70}^{ \circ} ) = \frac{6}{AC} \)

cross multiplication:

\( \displaystyle AC \tan( {70}^{ \circ} ) = 6\)

b

divide both sides by tan(70°):

\( \displaystyle AC = \frac{6}{ \tan( {70}^{ \circ} ) }\)

by using calculator we obtain:

\( \displaystyle AC = 2.18\)

and we are done!

Solving the provided question, we can say that the quadratic equation is \((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\) and the roots of the polynomial are x = 1, -1, 4.

A quadratic polynomial in a single variable is represented by the equation  \(ax^{2}+bx+c=0\). a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that it has at least one solution. There are both simple and complex solutions.

A quadratic equation is just that—quadratic. It has at least one word that has to be squared, as shown by this. One of the often used solutions for quadratic equations is "ax2 + bx + c = 0." where X is an undefined variable and a, b, and c are numerical coefficients or constants.

the quadratic equation is

\((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\)

On multiplying,

⇒ \(x (x^{2} + 3x - 4) - (x^{2} + 3x - 4)\)

⇒ \(x^{3} + 3x^{2} - 4x - x^{2} - 3x + 4\)

⇒ \(x^{3} + 2x^{2} - 7x + 4\)

∴ We can say that LHS = RHS.

From given equation, the roots of the equation will be  -

\((x - 1)(x^{2} + 3x - 4)\)

⇒ x - 1 = 0

⇒ x = 1

\(x^{2} + 3x - 4 = 0\)

⇒ \(x^{2} - 4x + x - 4\)

⇒ \(x(x - 4) + 1(x - 4)\)

⇒ (x + 1) (x - 4)

⇒ x = -1, x = 4

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Answer:

The answer is "28, 35, 52, 65"

Step-by-step explanation:

Calculating the x,y:

  \(\to x< y<65\\\\\to 65 \times 28 xy=13 \times 5xy \times 7 \times 2^2\\\\x=13 \\\\y=5 \times 7= 35\\\\\)

When

or  

\(x=35\\\\y= 13 \times 2^2=13 \times 4 =52\)

So, the final answer is "28, 35, 52, 65".

The value of the function f(6) on the graph of the linear equation is -1

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation of the function is given as

f(x) = 1/3x - 3

The graph of the function is added as an attachment

From the graph, we can see that when x = 6, the value of the function is -1

This means that f(6) = -1

Hence, the value of the function f(6) on the graph of the linear equation is -1

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