A right square prism has a volume of 75 cubic inches. The prism is enlarged so its height is increased by a factor of 5, but the other dimensions do not change. What is the new volume? A. B. C. D.

Answers

Answer 1

Answer:

The new volume is 375 cubic inches.

Step-by-step explanation:

Volume of a right square prism:

The volume of a right square prism is given by:

[tex]V = a^2h[/tex]

In which a is the length of the edge and h is the height.

A right square prism has a volume of 75 cubic inches.

This means that:

[tex]a^2h = 75[/tex]

The prism is enlarged so its height is increased by a factor of 5

Edge is the same, height is 5 times. So

[tex]a^2(5h) = 5(a^2h) = 5*75 = 375[/tex]

The new volume is 375 cubic inches.

Answer 2

Answer:

370

Step-by-step explanation:


Related Questions

PLS HELP: SEVENTH GRADE MATH

Answers

Answer:x=15

Step-by-step explanation:3x15=45

45+45=90

x=15
45 divided by 3 equals 15

What is the distance between (2. 6) and (7, 6)​

Answers

Answer:

5

Step-by-step explanation:

Hey There!

So first off the y values are the same so to find the distance between the two points all we have to do is subtract the largest x value from the smallest x value

7-2=5

Therefore the distance between the two points is 5

Answer: 5

Step-by-step explanation:

D = √(x₂ - x₁)² + (y₂ - y₁)²

x₁ =2 y₁ =6 x₂ =7 y₂ =6

D =√(7-2)² +(6-6)²

D=√(5)² +(0)²

D =√25

D=5

The product of a binomial and a trinomial is x3+3x2-x+2x2+6x-2 Which expression is equivalent to this
product after it has been fully simplified?

Answers

The answer is the first one.
Explanation:
X^3 stays the same because there are no other cubed numbers in the problem
Next you combine the x^2s
The x^2s are +3x^2 and +2x^2
Since they are both positive, you add them: 3x^2 + 2x^2 = 5x^2
Next you do the x values
-x and +6x, also known as 6x - x = 5x
Lastly, you just add in the -2 and get:
X^3 + 5x^2 + 5x - 2

Help me please ????????

Answers

Answer:

300

Step-by-step explanation:

YOU CAN TAKE WHATEVER THE ANSWER AND L x W x H to get that right answer

Answer:

1700 cm squared :)

Step-by-step explanation:

Segment MP is a diameter of circle O.


Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. Angle N O P is 150 degrees.


Which equation can be used to find mArc M N?

mArc M N – 150 = 360

Answers

Answer:

[tex]arc\ MN + 150 = 180[/tex]

Step-by-step explanation:

Given

[tex]\angle NOP = 150^\circ[/tex]

See attachment for circle O

Required

Find [tex]arc\ MN[/tex]

The sum of angles in a semi-circle is 180 degrees.

So:

[tex]arc\ MN + \angle NOP = 180[/tex]

This gives:

[tex]arc\ MN + 150 = 180[/tex]

Hence, the equation is: [tex]arc\ MN + 150 = 180[/tex]

Answer:

A

Step-by-step explanation:

just took exam and got 100%

1. Circle or highlight the letter that correctly identifies the following exponential equation into its equivalent logarithmic form.
am = p


A. logp(a) = m B. loga(p) = m C. loga(m) = p D. Not Shown

Answers

9514 1404 393

Answer:

  B. loga(p) = m

Step-by-step explanation:

Equivalent forms are ...

  [tex]a^m=p\quad\longleftrightarrow\quad\log_a(p)=m[/tex]

_____

Additional comment

It helps me to remember that a logarithm is an exponent. The base of the exponent is the base of the logarithm.

Which of the following statement(s) describes the rate of change of f over the interval 1.5 SXS 3? Select all that apply.

A. The rate of change is 1/2

B. The rate of change is 2

C. The rate of change is constant

D. The rate of change is increasing

Answers

The answer is going to be C

PLEASE HELP!! Urgent! :((

Answers

Answer:

the angle is 245°

Step-by-step explanation:

that is a pentagon, (a shape with 5 sides)

we know 4 of the angles in the pentagon

the sum of those 4 angles is

58°+100°+112°+25°=295°

to find a shapes total amount of °, the equation is (n-2)x180°

(5-2)x180°

=540°

540°-295°=245°

x=245°

For your vacation, you pack 3 shirts,
2 pairs of pants, and 2 pairs of
shoes. How many combinations of
unique outfits can you make?

Answers

Answer:

12

Step-by-step explanation:

3 shirts x 2 pants x 2 pair shoes= 12 outfits

THE TABLE BELOW LISTS THE NAMES OF
FOUR PEOPLE ON A TRAIN. USE THE CLUES
AT THE RIGHT TO DETERMINE EACH
PERSON'S AGE. DRAG THE CORRECT AGES TO
THE TABLE, NOT ALL CHOICES WILL BE USED.
CLUE I
The sum of Fred and Amanda's age is
109
CLUE 2
Fred's age is 1 Nore than three times
Amanda's age
NAME
AGE
Fred
Amanda
CLUE 3
Catherine is two years older than Blake
Blake
Catherine
כוח3ל
Blake's age is 16 less than two times
Catherine's age
12
27
0
61
14
16
82
87
DRAG
THESE

Answers

Fred's age is 82.

Amanda's age is 27.

Catherine's age is 14.

Blake's age is 12.

The equation that represents Fred's age is: 1 + 3x =

Where x is Amanda's age

Fred and Amanda's age : 109 = 1 + 3x + x

4x + 1 = 109

4x = 109 - 1

4x = 108

x = 108 / 4

x = 27

Fred's age = 1 + (3 x 27) = 82

The equation that represents Blake's age is: b =  2c - 16

Where: b = Blake's age

c = Catherine's age = 2 + b

b = 2(2 + b) - 16

b = 4 + 2b - 16

16 - 4 = 2b - b

12 = b

Catherine's age = 12 + 2 = 14

To learn more about addition, please check: https://brainly.com/question/349488

#SPJ1

help me solve for x

Answers

Answer:

50.6

Step-by-step explanation:

Marie donated 36% of her comic books to a
school. If she donated 135 comic books, how
many did she own before her donation?

Answers

Answer: 375

Step-by-step explanation:

Let x equal the number of comic books before her donation.

x × 0.36 = 135

135/0.36 = 375

how do you work out standard form in maths

Answers

Answer:

ok

Step-by-step explanation:

is that you write down 1 and 10 then you write x10 to the power of a number

Use the interactive to describe the conic given by the equation 3x2 – 9xy + 8y2 + x + y – 27 = 0.

Ellipse with foci in the first and third quadrants.
Ellipse with foci in the second and fourth quadrants.
Hyperbola with foci in the first and third quadrants.
Hyperbola with foci in the second and fourth quadrants.

Answers

Answer:

A) Ellipse with foci in the first and third quadrants.

Step-by-step explanation:

How are the ateas of the squares related? HELP

Answers

Answer:

c

Step-by-step explanation:

i did this b4

Simplify the expression.

7.5(–5.9)


–44.25


14.25


–11.21


44.25

Answers

Answer:

[tex] - 44.25[/tex]

Step-by-step explanation:

All i did was put it in a calculator

Answer:

hi the answer is :

-44.25

please help if you can <3

Answers

Answer:

1) x = 71

2) x = 117

5)

m<1: 35

m<2: 77

m<3: 52

m<4: 77

m<5: 65

m<6: 25

Step-by-step explanation:

1)

x + 41 + 68 = 180

x + 109 = 180

x = 71

2)

x + 47 + 16 = 180

x + 63 = 180

x = 117

3)

<2 + 103 = 180

<2 = 77

<1 + 68 + 77 = 180

<1 + 145 = 180

<1 = 35

<4 + 103 = 180

<4 = 77

<5 + 41 + 77 = 180

<5 + 115 = 180

<5 = 65

<6 + 65 = 90

<6 = 25

<3 + 103 + 25 = 180

<3 + 128 = 180

<3 = 52

A cylinder has a volume of 36 cubic inches. What is the volume of a cone if it has the same radius and height as the cylinder?

Answers

Answer:

12 cubic inches

Step-by-step explanation:

volume of a cylinder= pi*r2*height

but we are given 36 as cylinder volume.

Therefore , 36 = pi*r2* height

r2*height = 36/pi, let call this equation 1

volume of a cone = pi*r2*height/3;

but from equation 1, r2*height =36/pi, substituting this value in volume of cone.

volume of cone= pi*(36/pi)/3 = 12 cubic inches

Write an equation to find the total number of hours h the instructor exercises in any number of weeks w

Answers

have a pic of the problem?

First, rewrite 1/9 and 2/15 so that they have a common denominator. Then use to order 1/9 and 2/15.​

Answers

Answer: 1/9= 5/45 or 2/15= 6/45

Step-by-step explanation:

1/9 *5/5 = 5/45

1*5 =5 (numerator)

9*5=45 (denominator)

-----------------------------------------------------------------------------------

2/15 *3/3 = 6/45

2*3= 6 (numerator)

15*3= 45 (denominator)

Evaluate: 542 × 31



A
2,168

B
2,258

C
16,802

D
17,642

Answers

Answer:

C. 16,802

Step-by-step explanation:

h h h h h h h h h h

Can somone please help me and explain very much appreciated and this is 7th grade math btw

Answers

Answer:

4 8.95h + 10 < 115

Step-by-step explanation:

Answer: 4) 8.95h + 10 < 115

Step-by-step explanation:

We know the inequality will be equal to less than 115 since it states that the order was less than $115.

The equation would look like: some amount of shin guards times 8.95 each + $10 shipping = less than $115

8.95h + 10 < 115

(h in the given equation is the amount of shin guards)

-6e+2=-10 What does E=

Answers

-6e+2=-10
-10 -2=-12
-6e=-12
-12/-6
E=2

The total length of a road trip was 19.6 hours. If highway signs are posted every 0.7 hours, including one at the end of the road trip, how many highway signs will there be on the road trip.

Answers

Answer:

28

we can do it by dividing the journey time by in how after how many time the sign is place so 19.6/0.7=28

Hope you like it please make me the brainiest.

Thank You

-Parshv

Pls help I’ll give brainliest

Answers

Answer:

B)  7 gallons

Step-by-step explanation:

car begins with 12 gallons and, at a rate of 29 mpg, would allow the car to travel for 348 miles

car only traveled 140 miles so 208 miles more can be driven

208÷29 is approx 7 gallons

There are 8 shirts in your closet, 4 blue shirts and 4 green shirts. You randomly select one to wear on Monday and then a DIFFERENT one on Tuesday. What is the probability you will wear blue on both days?

Question 8 options:

A. 5/14

B. 1/4

C. 1/2

D. 3/14

Answers

Answer:

1/4

Step-by-step explanation:

1/4 ‏‏‎ ‎ ‏‏‎ ‎ ‏‏‎ ‎ ‏‏‎ ‎​

у
What is the relation between the variables in the equation x?
10 ?
a. x varies directly with the square of y
b. y squared varies inversely with x
c. y varies directly with x squared
d. y varies inversely with x squared

Answers

Answer:

We need an equation to complete this question. please post another question, including an equation

can anybody tell me what to do

Answers

Answer:

8n=8×5=40

..............

please help me plzzz​

Answers

Answer:

400, im positive

Step-by-step explanation:

im sure !!

400 I think no I’m sure

Find the area and the circumference of a circle with radius 2yd. Use the value 3.14 for pie and do not round your answer. Be sure to include the correct units in your answer

Answers

Answer:

circumference:  12.56 yd

area:  3.14(2 yd)² = 12.56 yd²

Step-by-step explanation:

The circumference formula is C = 2πr (pi, not pie), where r is the radius.

When r = 2 yd and π ≈ 3.14, the circumference is:

C = 2(3.14)(2 yd) = 12.56 yd

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