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
julia-pushkina [17]
3 years ago
11

Please help with this question.

Mathematics
1 answer:
Pavel [41]3 years ago
7 0

The maximum height occurs at the vertex found using t = -b/2a

Solve for t

t = -20 / 2(-5) = -20/-10 = 2 seconds.

Now replace t with 2 in the original equation to solve for the height:

h(t) = -5t^2 + 20t + 110

h(2) = -5(2)^2 + 20(2) +110

h(2) = -5(4) + 40 + 110

h(2) = -20 + 40 + 110

h(2) = 130

Travis only threw the spike 130 meters. Since Laura is at 135 meters, the spike did not reach her.

You might be interested in
A plane flew for 5 hours heading west and for 4 hours heading south. If the total distance traveled was 3,444 miles, and the pla
Ganezh [65]

Answer:400 miles per hour

Step-by-step explanation:

Let w = speed at which the plane travelled west

Let s = speed at which the plane travelled south

Distance moved in 5 hrs heading west = 5*w = 5w

Distance moved in 4 hrs heading south = 4*s = 4s

Total distance, 3444= 5w + 4s

w = s + 39( 39 miles/hr faster)

5(s+39) + 4s = 3444

5s + 195 + 4s = 3444

9s = 3249

s = 361 miles per hour

w = s + 39 = 361 +39

= 400 miles per hour

4 0
3 years ago
A culture started with 3000 bacteria. After 2 hours it grew to 3300 bacteria. Predict how many bacteria will be present after 16
bixtya [17]

Answer:

6,430\ bacteria

Step-by-step explanation:

we have a exponential function of the form

y=a(1+r)^{x}

where

y is the population of bacteria

a is the initial value

r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

y=3,000(1+r)^{x}

For x=2, y=3,300

substitute

3,300=3,000(1+r)^{2}

(3,300/3,000)=(1+r)^{2}

Apply square root both sides

1+r=\sqrt{3.3/3}

r=\sqrt{3.3/3}-1

r=0.0488

r=4.88\%

substitute in the equation

y=3,000(1+0.0488)^{x}

y=3,000(1.0488)^{x}

<u><em>Predict how many bacteria will be present after 16 hours</em></u>

For x=16 hours

substitute

y=3,000(1.0488)^{16}

y=6,430\ bacteria

6 0
3 years ago
Gracie is shipping a cube shaped box. It measures 14in x 14in x 14in. What is the surface area of the box?
DanielleElmas [232]
14× 14 = 196 area of 1 of the squares. on a cube there are 6 squares so multiply 196 by 6

196 × 6 = 1176 sq in
8 0
3 years ago
Given: x + 5 ≥ 10. Choose the graph of the solution set.
gizmo_the_mogwai [7]
Let's solve the inequality.  Subtract 5 from both sides.  The result will be 

<span>x  ≥ 5.  This states, "x is equal to or greater than 5."
</span>
Plot 5 on the number line, using a dark solid dot.  Then draw an arrow from that point to the right.
3 0
3 years ago
Read 2 more answers
tyler can shovel the driveway in 2 hours. dakota can complete the job in 90 minutes. if they work together, how long will it tak
IRINA_888 [86]
It would take 1minute and 10 seconds to complete the job because you have to subtract 2hours (2:00) by 90seconds (0:90)
4 0
4 years ago
Other questions:
  • A radio station plays 24 minutes of music out of every 30 minutes. Write two ratios that are equivalent to the ratio 24/30
    12·1 answer
  • Can someone plz help.
    9·1 answer
  • HELP!!! WILL MARK BRAINLIEST!!!
    7·1 answer
  • What is the domain of f(x)=3^x
    6·2 answers
  • Please help<br> F(x)=x^2 +1, g(x)=5x how to solve
    5·1 answer
  • The graph of g(x) = |x – h| + k is shown on the coordinate grid. What must be true about the signs of h and k?
    15·2 answers
  • Solve for x .........
    8·2 answers
  • Can somone pls dont this im not good at matching things this is due at 4:00 :(:(:(<br> BRAINIEST:)
    5·1 answer
  • the area of a rectangle is x²-3x-10. what is the length of the rectangle if the with is x +2.?plsss asap​
    9·1 answer
  • Which polynomial correctly combines the like terms and puts the given polynomial in standard form? –5x3y3 8x4y2 – xy5 – 2x2y4 8x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!