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
Naily [24]
3 years ago
12

The velocity v and maximum height h of the water being pumped into the air are related by the equation v=\sqrt(2gh) where g is t

he acceleration due to gravity (32 feet/second^2). a. Determine the equation that will give the maximum height of the water as a function of its velocity b. The Mayfield Fire Department must purchase a pump that is powerful enough to propel water 80 feet in the air. Will a pump that is advertised to project water with a velocity of 75 feet/second meet the fire department’s needs? Explain.
Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

The velocity v and maximum height h of the water being pumped into the air are related by the equation

v= \sqrt{2gh}

where g = 32

(a) To find the equation that will give the maximum height of the water , solve the equation for h

v= \sqrt{2gh}

Take square root on both sides

v^2 = 2gh

Divide by 2g on both sides

\frac{v^2}{2g} = h

So maximum height of the water h = \frac{v^2}{2g}

(b) Maximum height h= 80

velocity v= 75 ft/sec

Given g = 32

h = \frac{v^2}{2g}

h = \frac{75^2}{2*32}

h= 87.89 ft

The pump withe the velocity of 75 ft/sec reaches the maximum height of 87.89 feet. 87.86 is greater than the maximum height 80 feet.

So the pump will meet the fire department needs.

You might be interested in
How do you use proofs to show that triangles are congruent
seropon [69]
Side Angle Side
Angle Side Angle
Side Side Side
8 0
3 years ago
Linear Algebra: Permutation Matrices Let M be the matrix {{0,0,0,1,0}, {0,0,1,0,0}, {0,1,0,0,0}, {0,0,0,0,1}{1,0,0,0,0}}. What i
FromTheMoon [43]

Multiplying M by any matrix A would return new matrix, B, in which

• the 1st row of B is equal to the 4th row of A,

• the 2nd row of B is equal to the 3rd row of A,

• the 3rd row of B is equal to the 2nd row of A,

• the 4th row of B is equal to the 5th row of A, and

• the 5th row of B is equal to the 1st row of A.

The pattern here is

1 => 4 => 5 => 1

2 => 3 => 2

Let {4, 3, 2, 5, 1} denote the matrix M, where each number refers to the row of the identity matrix, I.

Using this notation, the pattern above gives

M² = {5, 2, 3, 1, 4}

M³ = {1, 3, 2, 4, 5}

M⁴ = {4, 2, 3, 5, 1}

M⁵ = {5, 3, 2, 1, 4}

M⁶ = {1, 2, 3, 4, 5}

so that <em>n</em> = 6.

(Notice that the first cycle has length 3 and the second one has length 2; the minimum <em>n</em> needed here is then LCM(2, 3) = 6.)

6 0
3 years ago
What is the sum of the fraction
leva [86]

Answer:

d) 72/100

Step-by-step explanation:

the first grid is 42/100 so you add the 3/10 which 3/10 is equal to 30/100 the grid is just simplified. Once you add 42/100 and 30/100 it equals to 72/100. Hope this is helps you !

4 0
2 years ago
Read 2 more answers
What is 3÷11=<br> A. 11/3<br> B. 3/11<br> C. 3/8<br> D. 8/3
Katen [24]

Answer:

B. 3/11

Step-by-step explanation:

the division symbol: ÷ essentially is the same as /

if you replace ÷ with / its the same thing.

3 0
2 years ago
Read 2 more answers
Jammal makes a cut through a block of florist's foam, as shown. What are the dimensions of the exposed cross section?
Ahat [919]

Answer:

C. 3 in x 6 in

Step-by-step explanation:

Jammal cuts the block in a straight line parallel to one side... so the section revealed when he finishes his cut will be identical as the parallel side to which the cut is done.

We know the the left side of the prism on the image is 3 inches wide and 6 inches high... so that will also be the dimensions of the exposed cross section.

The answer is then 3 inches y 6 inches. The thickness of the block (5 inches) has no impact on the exposed area of the cross-section.

8 0
3 years ago
Other questions:
  • The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
    12·2 answers
  • How to turn 0.6 into a fraction?
    5·2 answers
  • Rosie did the following problem. (7-1) 2 ÷ 6 + 4 · 3 6 2 ÷ 6 + 4 · 3 36 ÷ 6 + 4 · 3 6 + 4 · 3 10 · 3 30 Which statement best des
    11·1 answer
  • What is the slope and y-intercept of this line?
    9·1 answer
  • How do I write repeating decimals in proper form?
    9·1 answer
  • 4621.60 x 9.92 with work
    12·1 answer
  • Determine if the function is one-to-one. (5 points)
    8·1 answer
  • The sum of a number x and 8, all divided by 3
    13·1 answer
  • What is the value of the digit Seven in the number 437,158,269 7 million 70 million 7 thousand 700 thousand
    14·1 answer
  • X<br> 107<br> 34<br> What is the measure of Angle X
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!