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
yuradex [85]
3 years ago
6

A ball is thrown in air and it’s height, h(t) in feet, at any time, t in seconds, is represented by the equation h(t) =-t^2+7t.

When is the ball higher than 10 feet off the ground?
Mathematics
1 answer:
Lisa [10]3 years ago
4 0

Answer:

The ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds

Step-by-step explanation:

In the above question, we are given the equation:

h(t) =-t²+7t.

We are asked to find the time (t) when the ball will be higher than 10 feet.

h(t) = height = 10 feet.

So we have:

10 = -t² + 7t

t² - 7t + 10 = 0

We have a quadratic equation hence we factorise.

t² - 5t - 2t + 10 = 0

(t² - 5t) +(2t - 10)= 0

t(t - 5) + 2 (t - 5) = 0

(t - 2) (t - 5) = 0

t - 2 = 0, t = 2

t - 5 = 0, t = 5

t = 5 and t = 2

Therefore, the ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds.

You might be interested in
Find the total paid on a $65,000 loan with 6% simple interest for 4 years
zubka84 [21]

Answer:

**If the interest is by year then this should work

The interest is $15600 and the amount is $80600.

Step-by-step explanation:

Problem

You deposit $65000 into a bank account paying 6% simple interest per year. You left the money in for 4 years. Find the interest earned and the amount at the end of those 4 years?

Result:

The interest is $15600 and the amount is $80600.

5 0
3 years ago
One third plus four sixths plus six eighteenths equals blank
ss7ja [257]

Answer:

1 1/3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Write the first five terms of the arithmetic sequence. a4 = 22, a10 = 64
dedylja [7]
Hello :
the general term is : 
an = a1+(n-1)×d  
or : an = ap +(n-p)×d......d is common diffrence
let : n=10 and p= 4
a10 =  a4 +(10-4)×d
64 = 22 + 6d
6d =  42
d= 7
conclusion :
a4 = 22
a3 = 22-7=15
a2=15-7=8
a1= 8-7=1
<span>the first five terms : 1 , 8 , 15 , 22</span>

4 0
2 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
kvasek [131]

Answer:

h=\frac{V}{\pi r^2}

Step-by-step explanation:

To write this equation with h isolated, we cancel everything else on the right hand side of the equals sign.  This means we cancel π and r².

Since both of these are attached to h by multiplication, we divide by both to cancel.  We can divide by both at the same time:

\frac{V}{\pi r^2}=\frac{\pi r^2h}{\pi r^2}\\\\\frac{V}{\pi r^2}=h

7 0
2 years ago
Read 2 more answers
Is A ABC similar to DEF? Why or why not?
vova2212 [387]

Answer:

Option(D)

Step-by-step explanation:

Given are the two triangles, that are ABC and DEF, in which AB=8ft, DE=6ft, AC=10ft and DF=7.5ft.

For the two triangles to be similar, it must satisfy the similarity condition that is:

Both the triangles must have congruent angles and the sides should be proportional. Since, two sides of the given triangles are not proportional.Moreover, ∠A=25° and ∠D=24° which are not equal and ∠C=60° and ∠F=61° which are also not equal.

Therefore, Not all the angles are congruent, thus the triangles cannot be similar.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Which statement is true regarding the value of the digit in the tenths place of the decimal 19.993?
    7·1 answer
  • D is the midpoint of CE. E has coordinates (-6, -2), and D has coordinates (2, 2). Find the coordinates of
    12·1 answer
  • Find the volume of a box that measures 4 cm by 16 cm by 20 cm.
    8·1 answer
  • What is (2/3 x 3/5) - (3/4 x 1/6)
    8·2 answers
  • A rug shaped like a rectangle is 2.5 meters long and 1.8 meters wide what is the perimeter in meters of the rug
    13·1 answer
  • HELP ASAP 20 POINTS BRAINLIEST
    11·1 answer
  • What is an equivalent expression for 3(x-12)? *<br> O<br> 3x-12<br> 3x+12<br> O<br> 3x-36<br> 3x+36
    5·2 answers
  • Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake
    11·2 answers
  • triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third
    9·1 answer
  • Nori had 2 2/12 bags of apples he used 1 5/12 bags of apples to make pies how many bags of apples does nori have left. 1. See an
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!