Teresa is loading her car with boxes that each weigh 4 3/4 pounds. If Teresa loads 9 of theses boxes find the combined weight of each box

Answer:

Step-by-step explanation:

According to table:

The equation is:

Answer: 8

Step-by-step explanation: Substituting x for 2 since we know the value, 4(2) is 8.

Answer: 8

Step-by-step explanation:4*2=8

The range of the repairs to the cars is 241.

The sample variance is 11, 671.33

The sample standard deviation would be 108.03.

Range = Maximum repair cost - Minimum repair cost

= 456 - 215

= 241

Find mean :

= (422 + 456 + 401 + 215) / 4

= 373. 5

Sample variance :

= Sum of ( each repair cost - mean ) ² / (Number of cars - 1)

= ( 2, 340.25 + 6, 812.25 + 756.25 + 25, 105.25 ) / ( 4 - 1 )

= 11, 671. 33

Sample standard deviation:

= √sample variance

= √11, 671. 33

= 108. 03

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In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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Answer:

y+4=-3(x+1)

Step-by-step explanation:

Hope this helps may all your sweet dreams come true!

Answer:

y+4=-3(x+1)

Step-by-step explanation:

this is right im in the test

Answer:

just keep writing down outcome on a sheet of paper then count total

Step-by-step explanation:

Answer:

f(-14) = -6

f(-4) = 6

f(12) = 6

f(0) = -3

negative

Step-by-step explanation:

f(-14) = -6

This is because when x is -14, y is -6, as seen in the graph

f(-4) = 6

This is because when x is -4, y is 6, as seen in the graph

f(12) = 6

This is because when x is 12, y is 6, as seen in the graph

f(0) = -3

This is because when x is 0, y is -3, as seen in the graph

is f(4) positive or negative?
negative

This is because when x is 4, y is -6, as seen in the graph

The solution of different problem in Percentage and number is 32.43,19.24,14.566%,13.51%,7.4

A percentage is a numerical representation of a portion or proportion of a whole, expressed as a fraction of 100. It is commonly denoted by the symbol "%" (percent), which literally means "per hundred." It is often used to quantify and compare relative values, rates, or quantities in various contexts.

According to the given information:

12 is 37 % of what number?

12=37% OF X

12=37/100*X

X=12*100/37

x=32.43

What is 52% of 37?

52*37/100

19.24

37 is what percent of 254?

37=X%OF254

37=X*254/100

X=37*100/254

14.566%

What percent of 37 is 5?

X%OF37=5

X*37/100=5

X=500/37

13.51%

What number is 20 % of 37?

20*37/100

7.4

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Answer:

He would run 4.5 miles in 42 minutes if the rate is the same!

Step-by-step explanation:

The amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8  when Sam is 33.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. Thus,

\(P=4000\\r=9.8\%\)

Now the worth has to be found out when Sam is 33. Thus, the total time period in year is,

\(t=33-25\\t=12\rm\; years\)

Put the values in the formula,

\(A=4000\times\left(1+\dfrac{9.8}{12\times100}\right)^{12\times12}\\A\approx12903.8\)

Thus, the amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8  when Sam is 33.

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Answer: $8733.01

Step-by-step explanation: I got it right on my quiz

Answer: 504

Step-by-step explanation:

Answer:504

Step-by-step explanation:

We were given:

Therefore, we have the reasons as follows:

1. a. Given

2. b. Multiply both sides by ''2'' to eliminate the fraction

3. c. Put like terms together (by adding ''5'' to both sides)

4. d. Divide both sides by the coefficient of x (divide both sides by ''3'')

The range of the function on the graph is C. all the real numbers greater than or equal to –3 .

We can see by the graph maximum value of y of function is -3 and the graph continues to extend upward .

So, the range contain all the real numbers greater than or equal to –3 .

Therefore, the range contain all the real numbers greater than or equal to –3 .

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The value of the cash flows four years from today is $22,609.26.

The value of a set of cash flows can be calculated using the present value of an annuity formula. This formula takes into account the time value of money, which states that money has a different value at different points in time due to the opportunity cost of the money. In other words, the money you have today is more valuable than the money you will have in the future.

The present value of an annuity formula is PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods. In this example, the cash flows are $3,000, $4,040, $5,885, and $7,975, the interest rate is 5.4%, and the number of periods is 4. Plugging these numbers into the formula, the present value is $22,609.26. This is the value of the cash flows four years from today.

The value of the cash flows four years from today is $22,609.26.

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Step-by-step explanation:

First, we need to get it to slope-intercept form:

So you distribute the 4 to x-4:

4x-16

now the equation looks like this:

y-6=4x-16

now move the -6 to the other side:

y=4x-10

Answer:

The graph of the equation y - 6 = 4(x - 4) is attached at the end.

To graph the equation y - 6 = 4(x - 4), rewrite it in slope-intercept form by solving for y:

y - 6 = 4(x - 4)

y - 6 = 4x - 16

y = 4x - 16 + 6

y = 4x - 10

Now, the slope (m) is 4 and the y-intercept (b) is -10.

To graph the equation, plot a few points and draw a straight line passing through those points.

Choose some x-values and calculate the corresponding y-values:

For x = 0, y = 4(0) - 10 = -10

For x = 2, y = 4(2) - 10 = -2

For x = 4, y = 4(4) - 10 = 6

For x = 6, y = 4(6) - 10 = 14

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Answer:

200

Step-by-step explanation:

T = x * (1/H)

x = T*H

x = 2800

so for H = 14

T = 2800 * (1/14) = 200

Answer:

height = 5 cm

Step-by-step explanation:

a cube has congruent sides (s)

the volume (V) of a cube is calculated as

V = s³

given V = 125 , then

s³ = 125 ( take cube root of both sides )

\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)

s = 5

then height = 5 cm

Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

Answer:

16 and 34

Step-by-step explanation:

The general form = 3n+4

The 4th term = 3(4)+4 = 12+4 = 16

The 10th term = 3(10)+4= 30+4= 34

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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The functions secant (sec θ = hypotenuse/adjacent side = 1/cos θ) and cosecant (cosec θ = hypotenuse/opposite side = 1/sin θ).

secant function:

The secant function is a periodic function in trigonometry.The secant function or sec function can be defined as the ratio of the length of the hypotenuse to that of the length of the adjacent side of an right angled triangle.

That is,

sec θ = hypotenuse/adjacent side

It is also known as reciprocal of cosine function.

sec θ = 1/cos θ

cosecant function:

The cosecant function is the reciprocal of the sine function.The cosecant function or cosec function can be defined as the ratio of the length of the hypotenuse to that of the length of the opposite side of an right angled triangle.

That is,

cosec θ = hypotenuse/opposite side

cosec θ = 1/sin θ

Therefore the functions secant (sec θ = hypotenuse/adjacent side = 1/cos θ) and cosecant (cosec θ = hypotenuse/opposite side = 1/sin θ).

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Answer:

0.6 = 60% probability that a randomly selected application from this distribution took less than 18 minutes.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

The probability of finding a value between c and d is:

\(P(c \leq X \leq d) = \frac{d - c}{b - a}\)

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

Uniform distribution between 15 and 20 minutes.

This means that \(a = 15, b = 20\)

What is the probability that a randomly selected application from this distribution took less than 18 minutes?

\(P(X < 18) = \frac{18 - 15}{20 - 15} = 0.6\)

0.6 = 60% probability that a randomly selected application from this distribution took less than 18 minutes.

A, the relation is not a function

in order for something to be a function, x (the input) can't repeat itself more than once

Answer:

The answer is 4x^2y^4y^3 simplified to 4x^2y^7

Step-by-step explanation:

The correct proof of the equation is cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

Given the trigonometry identity below:

cos3∅=cos²∅-3cos∅sin²∅

We are to prove that both sides of the equation are equal.

cos 3θ = cos(2θ + θ)

Using the double angle formula for cosine, we can expand the first term:

cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ

Since cos2θ = cos²θ - sin²θ

cos(2θ + θ) =  cos²θ - sin²θ - 2cosθsinθsinθ

cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ

On simplifying, we can see that;

cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

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The coordinates of the image of triangle ABC would be A (-1, -1), B (3, 2), and C (4, -6)  after translation, and if the original coordinates are A(-3,2) B(1,5) C(2,-3).

We know that,

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Let assume A(-3,2) B(1,5) and C (2,-3) are original coordinates

The following translation is being used: (x, y) ⇒ (x + 2, y - 3)

First, take your x-coordinates and add them by two because it is the translation utilized to solve for your x-coordinate.

You would receive the following for yours x's: A (-1, y ) B (3, y) C (4, y)

Next, remove three from each of your y-coordinates because it is the translation being utilized to solve for your y-coordinate.

You would receive the following for your y's: A (x, -1) B (x, 2) C (x, -6)

Finally, you would take each one and put it together, or piece it together.

Hence, the coordinates of the image of triangle ABC after translation would be A (-1, -1), B (3, 2), and C (4, -6).

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Answer:

x= 12/5

Step-by-step explanation:

Distribute the fraction and solve for x.