What is the value of x?

This represents the exterior length, width and height in that order.

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Work Shown:

The steps you have written so far are 100% correct.

From there, you multiply the interior width, length and height to get the interior volume 972. Solve for x

So,

(length)*(width)*(height) = volume

(2x-6)(x-6)(x-3) = 972

(2x-6)(x^2-9x+18) = 972

2x(x^2-9x+18)-6(x^2-9x+18) = 972

2x^3-18x^2+36x-6x^2+54x-108 = 972

2x^3-24x^2+90x-108 = 972

2x^3-24x^2+90x-108-972 = 0

2x^3-24x^2+90x-1080 = 0

2(x^3-12x^2+45x-540) = 0

x^3-12x^2+45x-540 = 0

From here, we can use the factor by grouping method

x^3-12x^2+45x-540 = 0

(x^3-12x^2)+(45x-540) = 0

x^2(x-12)+45(x-12) = 0

(x^2+45)(x-12) = 0

Setting each factor equal to 0 leads to....

So x = 12 is the only solution here.

If x = 12, then we have these exterior dimensions:

The outer dimensions are 24 ft by 12 ft by 12 ft

From that, the inner dimensions would be:

L = 24-6 = 18 ft

W = 12-6 = 6 ft

H = 12-3 = 9 ft.

Then note how L*W*H = 18*6*9 = 972 ft^3 to help confirm the answer.

Answer:

$42?

Step-by-step explanation:

Answer:

[tex]y=2x-2[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (0,-2) and (2,2)

[tex]=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=2(2)+b\\2=4+b[/tex]

Subtract 4 from both sides to isolate b

[tex]2-4=4+b-4\\-2=b[/tex]

Therefore, the y-intercept of the line is -2. Plug this back into [tex]y=2x+b[/tex]

[tex]y=2x-2[/tex]

I hope this helps!

Step-by-step explanation:

OCB=CBO(base angle of isosceles triangle are equal)

now,

OCB+CBO+BOC=180°(sum of angles of triangles)

BOC=180-62

BOC=118°

again,

x=BOC/2{inscribed angle is half of central angle standing on Same base}

x=118/2

x=59°

Answer:

40.) the third one

42.)the last one

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Learning could be explained as a process of acquiring knowledge about a certain subject, trade or other aspects of life. In terms of learning about certain school subjects, a student needs to discover him or herself in other to make acquiring knowledge easy and less tedious for him or her. Now, there are designated tools more than evwr which could aid learning. A very important recommendation which could aid acquiring matematicka knowledge is the use of models to gain an insight to the fundamentals of a mathematical problem and thus seeing how it works. After this one can then break down the mathematical procedure embedded or used it aid the model manually in other to grasp the full concept of the principle.

Answer:

The​ odds, in the most simplified​ form, are 7 to 3 against a randomly selected​ 18- to​ 34-year-old having cursed at his or her computer.

Step-by-step explanation:

Given

[tex]p = 30\%[/tex] ---- proportion that cursed their computer

Required

Odds against the selected

Using the complement formula, the proportion that the selected has not cursed at their computer is:

[tex]p' = 1 - p[/tex]

[tex]p' = 1 - 30\%[/tex]

[tex]p' = 70\%[/tex]

So, the odds against the selected is:

[tex]Odds = p' : p[/tex]

[tex]Odds = 70\% : 30\%[/tex]

Divide by 10%

[tex]Odds = 7: 3[/tex]

Answer:

c

Step-by-step explanation:

i calculated and x was -1 and y was 10/3

Answer:

The measure of angle 2 is... 60 degrees.

Angle 1 - 93 degrees

Angle 2 - 60 degrees

Angle 3 - 27 degrees

Answer:

Step-by-step explanation:

The length of the ladder is the length of the hypotenuse of the right triangle formed. Since the height up the building is based on the distance the ladder is from the base of the building, and that distance is x, then the height up the building is x + 7. So what we have is a right triangle with one leg measuring x, the other leg measuring x + 7, and the hypotenuse measuring 13. Set up using Pythagorean's Theorem:

[tex]13^2=(x+7)^2+x^2[/tex] and do some simplifying. The left side is easy since 13-squared is 169; the right side not so much. We first have to expand that set of parenthesis by multiplying x + 7 by itself twice to get a second degree polynomial:

[tex](x+7)(x+7)=x^2+14x+49[/tex] and now we have:

[tex]169=x^2+14x+49+x^2[/tex] which simplifies down a bit to

[tex]169=2x^2+14x+49[/tex]

The only way to solve this for x, the height up the side of the building, is to factor. In order to do that, everything has to be on one side of the equals sign, setting the whole messy thing equal to 0:

[tex]2x^2+14x+49-169=0[/tex] and

[tex]2x^2+14x-120=0[/tex]. Begin by factoring out a 2:

[tex]2(x^2+7x-60)=0[/tex] and then factor the remaining quadratic using whatever method you are currently using in class to solve for x. Doing this will give that

x = -12 and 5. Since a side length will never be negative, we determine that x = 5 which is the distance between the bases of the buildings, and the height up the building where the ladder hits it is 12.

Answer:

you showed no graph dude

This is the graph btw.

Answer:

the value of y is y= 1

Step-by-step explanation:

3×3=9

y=10-9

y= 1

Answer:

hi hlo wat is ur help tell me quick

Answer:

D

Step-by-step explanation:

it means 5 minus 4x where x is the coefficient of x. Good luck.

Answer:

b is correct

Step-by-step explanation:

Answer:

500.82

Step-by-step explanation:

Answer: 500.82  mhm mhm yup

Answer:

B.) The interquartile range of the data is 2

Step-by-step explanation:

Step-by-step explanation:

..

Answer:

FV= $2,571.41

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,500

Interest rate (i)= 0.045/12= 0.00375

Number of periods (n)= 12*12= 144 months

To calculate the future value, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 1,500*(1.00375^144)

FV= $2,571.41

jxjxjxnxnxnnxnnxncncncxxnx

Skzkkxkxkfnzxnxnncnvnvnnv XMMMXMidjjcnfnndnmcmcmcmcmcmxmdnndjd

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve this, we first need the area of the square, then subtract from it the area of the circle. Since our instructions tell us to round to the nearest hundredth, we will use 3.1415 for pi. First the square:

A = s * s so

A = 15 * 15 and

A = 225; next the circle:

A = 3.1415 * 7.5*7.5 (the area of a circle is pi times the radius squared. The radius is half of the diameter which is 15, so r = 7.5) so

A = 176.709

Subtracting the area of the circle from the area of the square:

225 - 176.709 = 48.29 ft squared.

Answer: 207 degrees

Step-by-step explanation:

Since a circle is 360 degrees,

103+50+35+27 = 215, 360-215=145

Add ED and BC to 145 to get - 207

Answer:

42.43 ft

Step-by-step explanation:

Please find attached an image of the softball pitch

h² = p² + f² -2x p×f×cos45

h² = 43² + 60² - 2x (43)(60) x 0.7071

h² = 1849 +  3600 - 3648.636

h² = 1800.364

h = √1800.364

h = 42.43 feet

Answer:

x=6

Step-by-step explanation:

Hi there!

1) Determine the perimeter of the square

We're given that the perimeters of the square and the rectangle are equal. Therefore, after finding the perimeter of the square, we will also know the perimeter of the rectangle.

Find the side length of the square using the area formula:

[tex]A=l^2[/tex] where l is the side length

Plug in the given area 121 in.²

[tex]121=l^2[/tex]

Take the square root of both sides

[tex]\sqrt{121} = \sqrt{l^2} \\11=l[/tex]

Therefore, the side length of the square is 11 inches. Plug this into the perimeter formula:

[tex]P=4l[/tex] where l is the side length

[tex]P=4(11)\\P=44[/tex]

Therefore, the perimeter of the square is 44 inches. The perimeter of the rectangle is also 44 inches.

2) Determine the value of x

Use the formula for the perimeter of a rectangle:

[tex]P=2(l+w)[/tex] where l is the length and w is the width

Plug in 3x and x-2 as the length and width

[tex]P=2(3x+(x-2))\\P=2(3x+x-2)\\P=2(4x-2)[/tex]

Plug in the perimeter 44 in.

[tex]44=2(4x-2)[/tex]

Expand the parentheses

[tex]44=8x-4[/tex]

Add 4 to both sides to isolate 8x

[tex]44+4=8x-4+4\\48=8x[/tex]

Divide both sides by 8 to isolate x

[tex]\frac{48}{8}=\frac{8x}{8} \\6=x[/tex]

Therefore, the value of x is 6.

I hope this helps!

Answer:

4x(3x^2 + 1)(x – 5) glad to help!!!!

The answer should be A. 4 Meters

Answer:

Infinitely many solutions

Step-by-step explanation:

Simplify this

3 (y-2) = 3y-6

3 (y) + 3 ( -2) = 3y-6

3y-6=3y-6

Because these two equations are equal to each other, it is infinitely many solutions.

If this helps please mark as brainliest

Answer:

-8

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

[tex]\frac{3}{4}x+10=4[/tex]

[tex]\frac{3}{4} x-10[/tex] [tex]-10[/tex]        Subtract 10 from both sides

[tex]\frac{3}{4}x=[/tex]       [tex]-6[/tex]        

[tex]\frac{3}{4}(-8)[/tex]  [tex]=-6[/tex]        Substitute x for [tex](-8)[/tex] then Multiply [tex](-8)[/tex] by [tex]\frac{3}{4}[/tex]

[tex]-\frac{24}{4}[/tex]     [tex]=-6[/tex]        Simplify [tex]-\frac{24}{4}[/tex]

     [tex]-6=-6[/tex]      

Answer:

$74 492.30

Step-by-step explanation:

P= 50 000

r= 8/100 = 0.08

n= 12

t= 5

P(1 + r/n) ^ (nt)

[tex] = 50000(1 + { \frac{0.08}{12} )}^{(12 \times 5)} [/tex]

=74492.285