Which is a factor pair of 72?
12,6
14,5
23,4
24, 2

The expression that can be used to find the volume of the rectangular prism is 20825 cm³.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The formula for the volume of a rectangular prism is given by:

V = A x h

where A is the area of the base and h is the height of the prism.

In this case,

The area of the base is given as 245 cm^2 and the height is given as 85 cm.

Therefore, we can substitute these values into the formula to get:

V = 245 x 85

Multiplying these values together, we get:

V = 20825 cm³

Therefore,

The expression that can be used to find the volume of the rectangular prism is 20825 cm³.

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Answer:

y=3x-7

Step-by-step explanation:

we use the equation of the line:

y=mx+b

if the line is parallel, then the slope(m) of the line stays the same:

y=3x+b

we then substitute the ordered pair into the equation and solve for b:

-13 = 3(-2)+b

-13 = -6+b

-13+6 = b

-7 = b

now we substitute the b value into the original equation and the answer:

y=3x-7

Hope this helps :)

Answer:

The correct answer is B.

Answer:

12/2652 = 0.452488688%

Step-by-step explanation:

So, there are 4 jacks out of 52 cards, the probablility of pulling a jack out the first time, is 4/52.

Now that you pulled out 1 jack, there are 51 cards left in the deck, and the chances that you pull out another jack, is 3/51.

Now you would multiply these 2 fractions together, to get  12/2652 = 0.452488688%

Answer:

3/8 = 9/24

because

3/8 = 0.375

and

9/24 = 0.375

Answer:

9/24.

Step-by-step explanation:

We can see this by finding how 9/24 is simply 3/8 but not simplified down all the way. Notice how when you try simplifying the others, they are either unable to be simplified further or simplify into something else.

2/7--> unable to simplify further.

8/3--> unable to simplify further.

9/24--> simplifies to 3/8.

5/10--> simplifies to 1/2.

Answer:

25%

Step-by-step explanation:

Answer:

10/25= 45%

45% is the answer

Step-by-step explanation:

Answer(-2, -1)

Step-by-step explanation:

I guessed and got it right.

Answer:

-2, -1

Step-by-step explanation:

i did math

Answer:

There are 126 boys on the honor roll and 247 girls on the honor roll.

Step-by-step explanation:

Out of the 1,480 students in Gila Monster High School, a total of 373 of the students made the honor roll.

Let the number of girls that made the honor roll be g.

Let the number of boys that made the honor roll be b.

This means that:

b + g = 373_________________(1)

The number of girls who appeared on the honor roll was 5 less than twice the number of boys.

This means that:

g = 2b - 5___________________(2)

Let us insert (2) in (1):

b + (2b - 5) = 373

=> b + 2b - 5 = 373

3b = 373 + 5

3b = 378

=> b = 378 / 3 = 126

From (1):

b + g = 373

=> 126 + g = 373

g = 373 - 126

g = 247 girls

Therefore, there are 126 boys on the honor roll and 247 girls on the honor roll.

1. outcome

2. probability

3. equally likely

4. likely

5. certain

6. unlikely

7. impossible

Hope this helps! If you have any more questions or need further clarification then please comment down below or message me! Good luck!

Answer:

-2.4

Step-by-step explanation:

The solution to the given expression is -2.4.

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical expression:

[tex]\frac{16.8 - 1.2^2}{-4.3+3(-0.7)} =\frac{16.8 - 1.44}{-4.3 +(-2.1)}\\\\\frac{15.36}{-4.3-2.1} =\frac{15.36}{-4.3-2.1}\\\\\frac{15.36}{-6.4} =\frac{15.36}{-6.4}[/tex]

-2.4 = -2.4

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Complete Question:

Evaluate the expression.

[tex]\frac{16.8 - 1.2^2}{-4.3+3(-0.7)} =\frac{16.8 - 1.44}{-4.3 +(-2.1)}[/tex]

Answer:

The maximum profit of $  10277.32____ can be made when the selling price of the dog food is set to $ _34___ per bag.

Step-by-step explanation:

Profit = Revenue - Cost

P(x) = R(x) -C(x)

       = -31.72x^2 + 2,030x -( -126.96x + 26,391)

Distribute the minus sign

       = -31.72x^2 + 2,030x+126.96x - 26,391

 Combine like terms

      =   -31.72 x^2 + 2156.96 x - 26391

This is a parabola.  It is facing downwards.  The maximum profits is at the vertex ( where the max is)

vertex = h = -b/2a = -(2156.96)/(2*-31.72) = -2156.96/-63.44=34

Evaluate P(x) at x=34 to determine the profit

P(34) =  -31.72 (34)^2 + 2156.96 (34) - 26391

          -36668.32+73336.64-26391

          10277.32

The maximum profit of $10,243.32 can be made when the selling price of the dog food is set to $947.17. per bag.

1. Define the profit function: Profit [tex](\( P(x) \))[/tex] is calculated by subtracting the cost function [tex](\( C(x) \))[/tex] from the revenue function [tex](\( R(x) \)):[/tex]

[tex]\[ P(x) = R(x) - C(x) \][/tex]

2. Substitute the given revenue and cost functions:

[tex]\[ R(x) = -31.72x^2 + 2,030x \][/tex]

[tex]\[ C(x) = -126.96x + 26,391 \][/tex]

3. Plug in the revenue and cost functions into the profit function:

[tex]\[ P(x) = (-31.72x^2 + 2,030x) - (-126.96x + 26,391) \][/tex]

[tex]\[ P(x) = -31.72x^2 + 2,156.96x - 26,391 \][/tex]

4. Find the x-coordinate of the vertex of the profit function:

  The x-coordinate of the vertex is given by:

[tex]\[ x = \frac{-b}{2a} \][/tex]

  where [tex]\( a = -31.72 \) and \( b = 2,156.96 \).[/tex]

[tex]\[ x = \frac{-2,156.96}{2*(-31.72)} \][/tex]

  x ≈ 34

5. Calculate the maximum profit:

  Substitute x ≈ 34  into the profit function:

P(34) ≈ [tex]-31.72(34)^2 + 2,156.96(34) - 26,391[/tex]

P(34) ≈ 10,243.32

6. Determine the selling price per bag that maximizes profit:

  Plug x ≈ 34 into the revenue function to find the corresponding revenue:

[tex]\[ R(34)[/tex] ≈ [tex]-31.72(34)^2 + 2,030(34)[/tex]

[tex]\[ R(34)[/tex] ≈ [tex]32,183.68[/tex]

  Divide the revenue by the quantity x ≈ 34  to find the selling price per bag:

[tex]\[ \text{Selling price per bag}[/tex] ≈ [tex]\frac{32,183.68}{34}[/tex] ≈ [tex]947.17[/tex]

So, the maximum profit is approximately $10,243.32, and the selling price per bag that maximizes profit is approximately $947.17.

Answer:

9.) Its equilateral

7.) 24

Step-by-step explanation:

Sorry I only have the answer for 7 and 9.

To find the perimeter of a triangle, the lengths of all the sides are required, which are not provided in the question. The type of the triangle (equilateral, isosceles, scalene) also depends on these measurements.

In order to find the perimeter of triangle FGH, we need the lengths of all three sides. Unfortunately, as the specific details regarding the lengths of the sides of triangle FGH are not provided, we cannot definitively provide the perimeter. Usually, the perimeter is calculated by adding up the lengths of all the sides.

In terms of the triangle type, it could be equilateral (all sides are equal), isosceles (two sides of equal length), or scalene (no sides are of equal length). Without the measurements of the sides, we cannot determine the type of triangle FGH.

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Answer:

[tex]\frac{9}{5}[/tex] miles.

Step-by-step explanation:

This problem requires you to multiply the length of Laura's walk by 3 to solve for Isaiah's walk to school.

[tex]\frac{3}{5}[/tex]×[tex]\frac{3}{1}[/tex]=  [tex]\frac{9}{5}[/tex] miles.

Answer: 10%

Step-by-step explanation:

Answer:

its $465.19 (D) incase anyone still needs it

Step-by-step explanation:

just do it

Answer:

The answer might be A

Step-by-step explanation:

hope this helps

Answer:

0.125 and 1/8

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100 to move 2 decimal places to the left.

12.50% / 100 = 0.125

To convert a percentage into a fraction, rewrite the decimal number you got and put it over 1. Multiply the numerator and denominator by 1000 to move 3 decimal places to the right and get your fraction.

[tex]\frac{0.125}{1}[/tex] · [tex]\frac{1000}{1000}[/tex] = 125/1000

Divide the numerator and denominator by the GCF, 125, to get your simplified fraction.

125/125 = 1

1000/125 = 8

125/1000 = 1/8

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so

It's been a long time since you fell in love

You ain't coming out your shell, you really ain't been yourself

Tell me what must I do (do tell, my love)

'Cause luckily I'm good at reading

I wouldn't bug him, but he won't stop cheesin'

And we can dance all day around it

If you front then I'll be bouncing

If you want it scream and shout it, babe

Before I leave you dry

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so (yeah)

Let me check my chest, my breath right quick (ha)

He ain't never seen it in a dress like this (ah)

He ain't never even been impressed like this

Prolly why I got him quiet on the set like zip

Like it, love it, need it bad

Take it, own it, steal it, fast

Boy, stop playing, grab my az

Why you actin' like you shy?

Shut it, save it, keep it, pushin'

Why you beating 'round the bush?

And knowing you want all this woman

Never knock it 'til you try (yeah, yeah)

All of them betches hating I have you with me

All of my nigzas saying you mad committed

Realer than anybody you had, and pretty

All of that body-ody, the az and tizys

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so

Day to night to morning, keep with me in the moment

I'd let you had I known it, why don't you say so?

Didn't even notice, no punches left to roll with

You got to keep me focused, you want it, say so

The fraction 3/2 and square root of 2 are not equivalent because their decimal approximations (1.5 and about 1.41 respectively) are not the same.

To determine if a fraction like 3/2 is equal to the square root of 2, we would need to compare their decimal values.

First, divide 3 by 2 to get the decimal value for the fraction, which is 1.5.

For the square root of 2, we can use a calculator and find that its approximate decimal value is 1.41.

Therefore, since 1.5 is not equal to 1.41, the fraction 3/2 is not equivalent to the square root of 2.

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The fraction 3/2 is not equal to the square root of 2. By comparing the values directly or using fractional exponents, we can see that squaring 3/2 gives us 9/4, which is not equal to 2, and numerically the square root of 2 is approximately 1.414.

To determine if the fraction 3/2 is equal to the square root of 2, we can compare them directly or convert them into the same format. Recall that fractional exponents serve as another way to represent roots. Specifically, an exponent of 1/2 equates to taking the square root of a number. Thus, [tex](3/2)^{2}[/tex] would equal 3/2 multiplied by itself, which is 9/4, and that is not equal to 2. Therefore, 3/2 is not the square root of 2. We can also numerically evaluate the square root of 2, which is approximately 1.414, and see that it does not equal 3/2, which is 1.5.

Another consideration is that the square root of any number x can be expressed as [tex]x^{1/2}[/tex]. For instance, [tex](\sqrt{2})^2[/tex] = 2 because [tex](2^{1/2})^2[/tex] equals [tex]2^{1/2 * 2}[/tex] = 2. When we do this with 3/2, we would have [tex](3/2)^{1/2} * (3/2)^{1/2}[/tex] = 3/2, which does not satisfy the equation for the square root of 2. Therefore, 3/2 is not equal to the square root of 2.

Answer:

To prove that two lines are parallel, we find their slope and verify that those slopes are equal. Perpendicular lines are lines that create 90 degree angles where they intersect. We can prove that two lines are perpendicular by finding their slopes and verifying that the slopes are negative reciprocals of one another.

The product of slope of both line is -1.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

As, We determine the slopes of two lines and confirm that they are equal in order to demonstrate that the lines are parallel.

Lines that connect at 90 degree angles are said to be perpendicular.

By determining the slopes of two lines and confirming that the slopes are negative reciprocals of one another, we can demonstrate that the lines are perpendicular.

Hence, the product of slope of both line is -1.

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Answer:

6

Step-by-step explanation:

To calculate the volume of this pyramid, you first need to find the volume of the triangular base. The formula for the area of a triangle is bh/2, where b is the length of the base and h is the length of the height. In this case, 3*4/2=6. Now, you need to multiply by the height of the pyramid and divide by 3 to get 6*3/3=6 cubic inches. Hope this helps!

Answer:

B) 7/3

Step-by-step explanation:

To find the slope of a line using a graph, locate two points. In this example, the points are (0, -2) and (3, 5).

Then, find the distance between the two points. To do so in this example, find the difference between 0 and 3, and -2 and 5.

3 - 0 = 3

5 - (-2) = 7

Since we're dealing with slope, the answer will be in y/x form. 7 is the distance between the y-coordinates and 3 is the difference between the x-coordinates, the answer is 7/3.

Answer: 7/3

Step-by-step explanation:

Count how many spaces you are going up from the first point to the second point and how many spaces over to the point

Answer:

As shown in picture:

Original x = 360 - (59 + 108 + 81) = 112 deg

Upper bound of x (when all known elements are considered at lower bound)

U = 360 - (58 + 107 + 80) = 115 deg

Lower bound of x (when all known elements are considered at upper bound)

L = 360 - (60 + 109 + 82) = 109 deg

Hope this helps!

:)

Answer:

112  deg,115 deg  , 108 deg

Step-by-step explanation:

i hope this helps you.

Armando use the wrong demensions for the triangular prism?Answer:

Step-by-step explanation:

The mistake is Armando used the wrong dimensions for the triangular prism, the correct option is C.

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units, then:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]

is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

[tex]b = l \times w\: \rm unit^2[/tex]

We are given that;

Height of pyramid= 6in

Dimensions of prism= 8*18*5

Now,

To find the area of the triangular base, he should have used:

A=21​bh

A=21​(18)(6)

A=54

Therefore, by the rectangular prism the answer will be Armando used the wrong dimensions for the triangular prism.

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Let x represent number of redwood trees and y represent number of spruce trees.

We have been given that a park ranger bought 12 trees. We can represent this information in an equation as:

[tex]x+y=12...(1)[/tex]

[tex]y=12-x...(1)[/tex]

We are also told that redwood trees cost $24 each, so cost of x redwood trees would be [tex]24x[/tex].

Each spruce tree costs $16, so cost of y spruce trees would be [tex]16y[/tex].

Since the park ranger spent $208 on trees, so we can represent this information in an equation as:

[tex]24x+16y=208...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]24x+16(12-x)=208[/tex]

[tex]24x+192-16x=208[/tex]

[tex]8x+192=208[/tex]

[tex]8x+192-192=208-192[/tex]

[tex]8x=16[/tex]

[tex]\frac{8x}{8}=\frac{16}{8}[/tex]

[tex]x=2[/tex]

Therefore, the park ranger bought 2 redwood trees.

Upon substituting [tex]x=2[/tex] in equation (1), we will get:

[tex]y=12-x\Rightarrow 12-2=10[/tex]

Therefore, the park ranger bought 10 spruce trees.

The park ranger bought 2 redwood trees and 10 spruce trees.

To solve this problem, we can set up a system of equations based on the given information:

We have two pieces of key information:

This gives us two equations:

We can solve this system using substitution or elimination. Let's use substitution:

Therefore, the park ranger bought 2 redwood trees and 10 spruce trees.

Answer:

C y=e^x

Step-by-step explanation:

The equation of the graph of a function is y=e× option (C) y=e× is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×

where a is a constant and a>1

We have a graph of a function shown in the picture.

As we can see in the graph of the function is rapidly increasing.

We have an equation for the functions:

y = In(x)

The above function graph has a logarithmic graph which is decreasing as the x increase.

y = In(x) + 1

The above function graph has a logarithmic graph with 1 unit shift up which is decreasing as the x increase.

y=e×

The above function has a graph of an exponential function

y = x + 1

The graph of a above function is a straight line.

Thus, the equation of the graph of a function is y=e× option (C) y=e× is correct.

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The rate change of the distance between the car and the person at that instant will be 15.69 meter.

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

A person stands 30 meters east of an intersection and watches a car driving away from the intersection to the north at 17 meters per second.

At a certain instant, the car is 161616 meters from the intersection.

Now,

Let the distance of the car from the intersection and from the person be x and y at any time t respectively.

So, We can apply the Pythagoras theorem as;

y² = x² + 10²

y = √ x² + 10²

Differentiate with respect to t , we get;

[tex]\frac{dy}{dt} = \frac{1}{2\sqrt{x^2 + 100} } 2x \frac{dx}{dt}[/tex]

[tex]\frac{dy}{dt} = \frac{1}{\sqrt{x^2 + 100} } x \frac{dx}{dt}[/tex]

Since, the person standing towards the intersection at 17 m/s.

dx/dt = 17

Hence, [tex]\frac{dy}{dt} = \frac{1}{\sqrt{x^2 + 100} } x *17[/tex]

At x = 16 meters

So, [tex]\frac{dy}{dt} = \frac{1}{\sqrt{24^2 + 100} } 24 *17[/tex]

[tex]\frac{dy}{dt} = 408 / \sqrt{676}[/tex]

[tex]\frac{dy}{dt} = 408 / 26[/tex]

[tex]\frac{dy}{dt} = 15.69[/tex]

Thus, The rate change of the distance between the car and the person at that instant will be 15.69 meter.

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Answer:

there is a 1 in 6 chance, so 1/6. The probability of rolling any side is 1/6.

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

The odds of rolling a four on a dice are 1/6. The odds of rolling a six are also 1/6. So if you roll two die to find the probability you multiply the two numbers probability together which would equal 1/36.

Answer:

D. y 1 = StartFraction log x Over log 6 EndFraction, y 2 = StartFraction log (x + 4) Over log 2 EndFraction

Step-by-step explanation:

Omar should use the system of equations y₁ = logx/log6, and y₂ = log(x+4)/log2 option second is correct.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

We have a log equation:

log₆x = log₂(x + 4)

As we know:

logₐᵇ = log(b)/log(a)

After applying the above property:

logx/log6 = log(x+4)/log2

y₁ = logx/log6

y₂ = log(x+4)/log2

Thus, Omar should use the system of equations y₁ = logx/log6, and y₂ = log(x+4)/log2 option second is correct.

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Answer:

D

Step-by-step explanation: