1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
just olya [345]
3 years ago
8

The volume of a square prism with height of 21 inches and each side of the base s inches is given by the expression 7s2. Find th

e volume of a square prism if the length of a side is 3 inches
Mathematics
1 answer:
Murljashka [212]3 years ago
4 0

Answer:

63 cubic inches.

Step-by-step explanation:

The volume of a prism is given by, A =  \frac{1}{3} \times (\textrm {Base Area}) \times (\textrm {Height})

The base area for a square prism with sides s inches is s² sq. inches.

So, the volume of a square prism with a height of 21 inches and each side of the base s inches is given by the expression, V = 7s² cubic inches.

Therefore, if s = 3 inches, then volume will be, V = 7(3²) = 63 cubic inches. (Answer)

You might be interested in
Please answer this correctly
ira [324]

Answer:

Surface area = 804m^2

5 0
3 years ago
what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube
Dmitrij [34]
Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

\frac{99}{2} (2x+98)=p^3 \\  \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}

By substitution, we have that p=33 and x=314.

Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>
3 0
3 years ago
Write the equation for the line in slope intercept form ​
Helen [10]

Answer:

  y = -2x -3

Step-by-step explanation:

The line crosses the y-axis at -3, so that is the y-intercept.

It has a "rise" of -2 units for each "run" of 1 unit, so the slope is -2. (For example, from point (-1, -1) to point (0, -3).)

The slope m and y-intercept b are used in the slope-intercept form of the equation of a line:

   y = mx + b

For the values this line has, the equation is ...

   y = -2x -3

6 0
3 years ago
In an experiment, a variable, position-dependent force F(x) is exerted on a block of mass 1.0kg that is moving on a horizontal s
telo118 [61]

Answer: correct option is C

The function F(x) for 0 < x < 5, the block's initial velocity, and the value of Ff. 

Step-by-step explanation:

The total work done = P.E + K.E

K.E = 1/2mv^2

The speed V depends on the position:

0 < x < 5

Also, since work done = F × distance x

The workdone also depends on F(x)

The net force = 0 that is

F + fr = 0

Where fr = frictional force.

Therefore the best option for the hypothesis of work done will be;

The function F(x) for 0 < x < 5, the block's initial velocity, and the value of Ff. 

6 0
3 years ago
Read 2 more answers
The irrational number square root 67 is greater than [blank]
Tanya [424]

Answer:

The irrational number square root 67 is greater than whole number 8

Step-by-step explanation:

Given

\sqrt{67

Required

Complete the sentence

No options are given.

So, we will solve the expression then compare it with the nearest smallest integer

First, we solve the given expression

\sqrt{67

\sqrt{67} \approx 8.185

By comparison:

8.185 > 8

<em>This implies that, the blank will be completed with 8</em>

3 0
3 years ago
Other questions:
  • When both pipes are working together, how long does it take them to fill the tank?
    6·1 answer
  • 3 TIMES BLANK EQUALS 25.2 what does blank equal
    14·2 answers
  • PLEASE HELP WITH THIS PROBLEM!!
    8·1 answer
  • What is the average rate of change in f(x) over the interval [4,13]?
    7·2 answers
  • Derek has 12 shirts in his closet. if 2 out of every 3 of these shirts are striped, how many striped shirts does derek have in h
    8·1 answer
  • Here are the first four terms of a sequence.
    7·1 answer
  • PONTOS GRATIS BRASIL ​
    10·2 answers
  • Which of the following is a correct interpretation of the expression -3 - 5​
    15·2 answers
  • Please help me!!!!!!
    10·1 answer
  • A garden is in the shape of a square of length 35 2/5 m. find its (i) perimeter and (ii) area.​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!