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
Airida [17]
2 years ago
11

A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's

height at any given time, t. What is the maximum height the dolphin jumps?
Mathematics
1 answer:
Dominik [7]2 years ago
3 0

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

h = 100feet

Hence  the maximum height the dolphin jumps is 100feet

You might be interested in
Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. How much of the
emmainna [20.7K]

Answer:

<h3>              0.125 galon of 35% acid solution</h3>

Step-by-step explanation:

0.5 gallon of a 10% acid solution

10%•0.5 = 0.05 gallon of acid in that solution

x gallon of 35% acid solution

35%•x = 0.35x  gallons of acid in that solution

0.05 + 0.35x  total of gallons of acid in both solutions

(0.5+x) gallons of 15% acid solution

15%(0.5+x) = 0.15(0.5+x)  gallons of acid in that solution

the amount of gallons of acid didn't change after mixing, so:

0.05 + 0.35x = 0.15(0.5 + x)

0.05 + 0.35x = 0.075 + 0.15x

0.35x - 0.15x = 0.075  - 0.05

0.2x = 0.025

 ×5         ×5  

x = 0.125

8 0
2 years ago
Read 2 more answers
Solve for x: 4 over 5 x + 4 over 3 = 2x x = __________________ Write your answer as a fraction in simplest form. Use the "/" sym
Vesna [10]
4/5x + 4/3 = 2x....there are 2 ways to do this...one with fractions, one without.

with :
4/5x + 4/3 = 2x
4/3 = 2x - 4/5x
4/3 = 10/5x - 4/5x
4/3 = 6/5x
4/3 * 5/6 = x
20/18 = x
10/9 = x

without :
4/5x + 4/3 = 2x....multiply by common denominator of 15
12x + 20 = 30x
20 = 30x - 12x
20 = 18x
20/18 = x
10/9 = x
5 0
3 years ago
Read 2 more answers
Please help me!<br> I will give brainly
Natali [406]
1. 80
2. 90
3. 45
4. 98
3 0
2 years ago
Grace, Chelsea, and Roan are simplifying the same polynomial expression. Which
Alexus [3.1K]

Answer:

Hey there!

3(2 - x) - 2(6x - 8)

6-3x-12x+16

6-15x+16

-15x+22

Hope this helps :)

6 0
3 years ago
If DE = 8, PS = 4, and PQ = 3, then what is the scale factor of DEFG to PQRS?
posledela

The scale factor of DEFG to PQRS is: 3/8.

<h3>What is a Scale Factor?</h3>
  • A scale factor of a dilation is the number by which the size of an original figure is changed to a new figure.
  • Scale factor is ratio of corresponding side of new figure to original figure.

Thus:

DE corresponds to PQ.

PQRS is the new figure.

DE = 8; PQ = 3

  • Therefore:

Scale factor of DEFG to PQRS = PQ/DE

Scale factor = 3/8.

Thus, the scale factor of DEFG to PQRS is: 3/8.

Learn more about scale factor on:

brainly.com/question/2826496

6 0
2 years ago
Other questions:
  • No matter how many play it, it costs $6 to bowl each game at Hollywood Bowl. A
    6·1 answer
  • The following graph shows the low temperatures for the past six nights. Which night had a low temperature of 26°F?
    10·2 answers
  • Seventy-two percent of the shareholders in a service corporation are women. If the corporation is
    9·1 answer
  • Help pretty please :) &lt;3
    11·2 answers
  • Evaluate the expression for the given values: 2x^2 _8xy+3y^2 for x = -3 and y = 2
    15·1 answer
  • A pair of dice is rolled. Find the probability for P(not 2 or not 12)
    5·1 answer
  • Fancy Nails charges $28 for a pedicure plus $9 for each treatment. Lara's Nails charges $22 for
    8·2 answers
  • PLS SOMEONE HELP MEEE​
    12·2 answers
  • The circle below has center H. Suppose that =m∠FHG64°. Find the following.
    11·1 answer
  • Solve for x, 2^2=128
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!