Mr. Cooper purchased a night stand
at the furniture store. It came in a
rectangular-prism-shaped box. The
volume of the box is 31,050 cubic
inches. The box is 36 inches deep and
284 inches wide. What is the height of
the box?

Answer:(6x-5)+(-7x+2)

1 Remove parentheses.

6x-5-7x+2

2 Collect like terms.

(6x-7x)+(-5+2)

3 Simplify.

-x-3

_____________________________

1 Remove parentheses.

6x-5+7x-2

6x−5+7x−2

2 Collect like terms.

(6x+7x)+(-5-2)

3 Simplify.

13x-7

Hope this helps

                                                                -Tobie the dog <3

6x - 5 + (-7x + 2) = ...

= 6x - 5 - 7x + 2

= (6x - 7x) + (-5 - 2)

= -x - 7

[tex]\:[/tex]

6x - 5 - (-7x + 2) = ...

= 6x - 5 + 7x + 2

= (6x + 7x) + (-5 + 2)

= 13x - 3

Answer:

The number decreases

Step-by-step explanation:

The number decreases because if it's on -2 the way it will increase will be on going forward with no negatives

Answer:12

Step-by-step explanation: I multiplied 3 times 4

The Lateral Surface Area of cone is 12  π  ft³

The lateral area of a cone is defined as the area covered by the curved surface of the cone. It is also called lateral surface area (LSA) or curved surface area (CSA) of a cone. A cone is a 3-D object which tapers smoothly from the flat circular base to a point. In other words, it is a shape formed by a set of line segments coming from the base that connects to a common point

example:

Find the lateral area of a cone having base radius of 21 units and height of 20 units. (Use π = 22/7)

Solution: Given that r = 21 units and h = 20 units

Thus, slant height of the cone, l = √(r2 + h2) = √(212 + 202) = √(441 + 400) = √841 = 29 units

We know, the lateral area of the cone = πrL

Lateral area of a cone = (22/7) × 21 × 29

= 22 × 3 × 29

= 1914 units2

Answer: The lateral surface area of the given cone is 1914 units2

Given:

l= 4 ft

r= 3 ft

Lateral area = πrl

Lateral area = π * 3 * 4

Lateral area = 12 π  ft³

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Answer:

AUI = { -5 , -2 , -1 , 0 , 1 , 2 , 5 , 8 }

Answer:

84

Step-by-step explanation:

12*5=60

4*6=24

60+24=84

Answer:

nooo

Step-by-step explanation:

see longest side is 12 then 11 then 4 then 12 -4 =8 and last 5

answer 32

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Answer:

Height = 125 tan 6°

Answer:

b- If two sides are perpendicular, then it is a right triangle. It can be isosceles or scalene. It cannot be equilateral because all the angles in an equilateral triangle are acute.

Step-by-step explanation:

An equilateral triangle has 3 equal sides and 3 congruent angles, each with an acute measure of 60 deg.

If two sides are perpendicular, they form a right angle, w/ measure of 90 deg. Therefore, cannot be equilateral.

30-60-90 triangles are quite common and useful in geometry... they are scalene and have 2 perpendicular sides.

45-45-90 triangles are isosceles and have 2 perpendicular sides.

Both are types of right triangles.

Answer:

f(x) = x - 6

Step-by-step explanation:

The original function would go through (0,0) since you shift the function down 6 units, it will go through (0,-6)

so, the equation of the line would be f(x) = x - 6

Answer:

( 3 / 4) * λ = - 1 - - > λ = - ( 4 / 3)

y = - ( 4 / 3) * x + 6

Answer:

Y= -4/3 X + 6

Step-by-step explanation:

I've explained this answer in attachment.

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

Answer:

The table represents a linear function.

Step-by-step explanation:

Graphed, the points go in a straight line, and you are able to draw a line through it. The equation for the line is y = 4x + 4.

Answer:

961.625 ≈ 962

Step-by-step explanation:

(A WHEEL IS A CIRCLE!)

To find the area of a circle, you must multiply the radius by itself twice, then, multiply the product by pi (radius x radius x pi).

Here, only the diameter is shown.

To find the radius, we must divide the diameter by 2.

35 / 2 = 17.5

17.5 is the radius.

17.5 x 17.5 = 306.25.

**3.14 is commonly used for pi**

Lastly, we multiply the product by pi.

306.25 x 3.14 = 961.625

961.625 rounded to the nearest foot is 962.

Therefore, the area of the wheel is 962 feet.

Answer: 10

Step-by-step explanation: 8+10+60=78

Answer:

It costs Laura $ 5,184.86 to heat her house one day.

A 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

Step-by-step explanation:

Given that a kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr, and the electric utility company in Laura's town charges $ 0.06001 for each kilowatt hour used, and Laura heats her house with three electric heaters that each use 1200 watts, to determine how much does it cost to heat a house in one day and how many hours would a 75 watt lightbulb have to stay on to result in one dollar for electricity charges the following calculations must be performed:

(3 x 1200 x 24) x 0.06001 = X

(3600 x 24) x 0.06001 = X

86400 x 0.06001 = X

5,184.86 = X

Therefore, it costs Laura $ 5,184.86 to heat her house one day.

1 watt = 0.001 kilowatt

75 watt = 0.075 kilowatt

1 / 0.075 = 13.333

1 / 0.06001 = 16,663

13,333 x 16,663 = 222.18

Therefore, a 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

Answer:

1/25

Step-by-step explanation:

days in a week is 7

odds of being born on each 7 days is equal

x born = 7 days

pr(one separate baby) = 1 ÷ 5

pr(second separate baby) = 1 ÷ 5

pr(both being born on a school day) = 1/5 × 1/5

= 1/25

Answer:

-49

Step-by-step explanation:

[tex]\int _{-5}^{-2}\:\left(8\:w\left(r\right)-3\right)dr[/tex] = [tex]\int _{-5}^{-2}\:8\:w\left(r\right)dr[/tex] -3 (-2 -(-5)) = [tex]8 \int _{-5}^{-2}\:\:w\left(r\right)dr[/tex] -9 =8(-5) -9 = -49

Answer:

d'f(t) = 6cos 2t(2)+5sin 2t(2)

= 12cos 2t + 10sin 2t

Step-by-step explanation:

Answer:

176 cu. cm

Step-by-step explanation:

Vol. of prism = Bh where B is the area of the base and h is the height

V = 22(8) = 176 cu. cm

Answer:

The width is 64.3 inches

Step-by-step explanation:

Given

[tex]d = 90[/tex] --- diagonal

[tex]h = 63[/tex] --- height

Required

Determine the width (w) of the TV

To do this, we make use of Pythagoras theorem which is illustrated as:

[tex]d^2 = h^2 + w^2[/tex]

So, we have:

[tex]90^2 = 63^2 + w^2[/tex]

Evaluate all squares

[tex]8100 = 3969 + w^2[/tex]

Collect like terms

[tex]w^2 = 8100 - 3969[/tex]

[tex]w^2 = 4131[/tex]

Take positive square roots of both sides

[tex]w = \sqrt{4131[/tex]

[tex]w = 64.3[/tex] -- approximated

Answer:

x=31

Step-by-step explanation:

we need to isolate x so we put 48 t the other side to make -x=17-48

we do 17-48 =-31 so -x=-31

x=31

Answer:

The required points are -

(-2,8), (7,5), (1,7)

Answer:

c

Step-by-step explanation:

Answer:

A) 24

Step-by-step explanation:

Area of a triangle formula:

A = 0.5bh

Given:

b = 12

h = 4

Work:

A = 0.5bh

A = 0.5(12)(4)

A = 6(4)

A = 24

Answer:

p=12 is the answer for the question

Answer: isosceles

equilateral is all sides are the same

scalene is all sides dif

isosceles is at least two sides the same