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
Radda [10]
2 years ago
9

A dolphin jumped up out of the water and back into the water in a parabolic path. (H) height (t) seconds . H=-8(t-0.5)^2+2 . How

long will the dolphin be in the air?
Mathematics
1 answer:
tigry1 [53]2 years ago
4 0

Answer:

4 seconds

Step-by-step explanation:

using the vertex formula of a quadratic,

a(x-h)^{2} + k, where (h,k) is the vertex

h = -8(t-0.5)^{2}+2    h is height and t is time in seconds

the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)  

Height of 1/2

time of 2 seconds

it will take 2 additional seconds to reach the water again.

this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.

You might be interested in
A cupcake recipe takes 3 cups of flour for every 2 dozen cupcakes. How many cups of flour does Sally need to make 96 cupcakes? U
Lilit [14]

Answer:

388

Step-by-step explanation:

96x3=

288

5 0
3 years ago
0.45 repeating as a fraction
stira [4]
0.9090909.../2
This is the equivalent and it has no equal fraction counterpart
4 0
3 years ago
Read 2 more answers
Tina lives in a state that charges her 4.5% state income tax on her federal taxable income. If her federal taxable income is $61
Irina-Kira [14]

$ 2772 is paid in state income tax

<em><u>Solution:</u></em>

Given that, Tina lives in a state that charges her 4.5% state income tax on her federal taxable income

Federal taxable income = $61,600

<em><u>To find: Amount paid by Tina in state income tax</u></em>

Tax rate = 4.5 %

<em><u>Which means, 4.5 % of $61,600 is paid as tax</u></em>

Tax\ Rate = 4.5 \% \text{ of } 61600

Here, "of" means multiplication or product

Tax\ Rate = 4.5 \% \times 61600\\\\Tax\ Rate = \frac{4.5}{100} \times 61600\\\\Tax\ Rate = 0.045 \times 61600\\\\Tax\ Rate = 2772

Thus $ 2772 is paid in state income tax

7 0
3 years ago
F(x)=2x+3 g(x)=x-4 Find (f+g)(2)<br> Please help asappp
bulgar [2K]

Answer:

(f+g)(2)=5

Step-by-step explanation:

Subsitute 2 in for x in both functions. Then add the answers of the functions together.

3 0
2 years ago
Simplify: 8t + 6r - 3t + 2r<br> A. 9rt<br> B. 13rt<br> C. 5t + 4r<br> D. 5t + 8r
mr_godi [17]
Let's simplify step-by-step.<span><span><span><span>
8t</span>+<span>6r</span></span>−<span>3t</span></span>+<span>2r</span>
=<span><span><span><span><span>8t</span>+<span>6r</span></span>+</span>−<span>3t</span></span>+<span>2r

</span></span></span>Combine Like Terms:
<span>=<span><span><span><span>8t</span>+<span>6r</span></span>+<span>−<span>3t</span></span></span>+<span>2r</span></span></span><span>=<span><span>(<span><span>6r</span>+<span>2r</span></span>)</span>+<span>(<span><span>8t</span>+<span>−<span>3t</span></span></span>)</span></span></span><span>=<span><span>8r</span>+<span>5t

</span></span></span>Answer:<span>
=
<span>8r+5t
(Or, in your case: D. 5t + 8r)

</span></span>____________________________

<span>Simplify: 8t + 6r - 3t + 2r
A. 9rt
B. 13rt
C. 5t + 4r
D. 5t + 8r </span>



6 0
3 years ago
Read 2 more answers
Other questions:
  • One of the wagers in the game of roulette is to place a bet that the ball will land on a red number. (Eighteen of the numbers ar
    6·1 answer
  • What is a number n is at least 4
    8·1 answer
  • 4. What key features of a quadratic graph can be identified and how are the graphs affected when the constants or coefficients a
    13·2 answers
  • Diagonals AC and BD form right angles at point M
    14·1 answer
  • Each week you drive 150 miles.your car gets 25 miles to the gallon and gas prices are 3 per gallon.how much gas money will you s
    7·2 answers
  • How are these 2 equations equivalent?<br> 3(a+b)<br> 3a+3b
    6·2 answers
  • 1. What is the length of segment_AD?
    7·2 answers
  • What is 6 5/7 as a improper fraction What is 6 5/7 as a improper fraction?
    8·2 answers
  • I've been stuck on this question for 3 days ;&lt; halp meh ples
    5·1 answer
  • Solve for x. The triangles are similar.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!