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
slamgirl [31]
2 years ago
15

-

Mathematics
1 answer:
pav-90 [236]2 years ago
3 0

Using quadratic function concepts, it is found that:

a) The equation is: 16t² - 64 = 0.

b) It takes 4 seconds before the weight is caught by the net.

<h3>What is the quadratic equation for a projectile's height?</h3>

It is given by:

h(t) = -16t^2 + v(0)t + h(0).

In which:

  • v(0) is the initial velocity.
  • h(0) is the initial height.

Item a:

In this problem, the object starts from rest at a height of 67 ft, hence v(0) = 0 and h(0) = 67.

Then, the equation for the height is given by:

h(t) = -16t^2 + v(0)t + h(0)

h(t) = -16t^2 + 67

It hits the net when h(t) = 3, hence:

3 = -16t^2 + 67

16t² - 64 = 0.

Item b:

16t² = 64

t = \pm \sqrt{4}

t = 4, as time is positive.

It takes 4 seconds before the weight is caught by the net.

More can be learned about quadratic function concepts at brainly.com/question/24737967

You might be interested in
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 40 d
svetlana [45]

Answer:

84°

Step-by-step explanation:

smallest angle=x

3x=2nd angle

x+40=3rd angle

angles in a triangle add up to 180 degrees so

5x+40=180

5x=140

x=28

largest angle = 3x

so 3 x 28 = 84 degrees

The largest angle is 84 degrees

7 0
3 years ago
Read 2 more answers
Write the slope-intercept form (y=mx + b) of the blue line. Explain or show your work. Write a one sentence summary comparing th
Darina [25.2K]

Answer:

y=1/2x+2(2 is the y-intercept)

The blue line and black line have the same y-intercept, but the black line has a slope 1/6 greater than the blue line.

Hope it helps <3

4 0
3 years ago
Read 2 more answers
Place these numbers on the number line. 1/4, 2/3, 3/4, 6/8
Lelu [443]
The best way to put them into a number line is to make sure that they've all got the same denominator, which in this case, will be 24, as this is the lowest common multiple of 3,4 and 8. You will then need to multiply these fractions accordingly. The first one (1/4) will need to be multiplied by 6 to get a denominator of 24, so this will then give you a result of 6/24. The second one (2/3), will need to be multiplied by 8, which will then give you a result of 16/24. The third one (3/4)will also need to be multiplied by 6, giving you 18/24. The final one (6/8) will need to be multiplied by 3, giving you 18/24. You will then need to put these in order, which will be- 1/4, 2/3, 3/4, and 6/8. The alternative method is to turn these into decimals- 1/4 is equivalent to 25%, which is equal to 0.25. 2/3 is equivalent to 66.66%, which is equivalent to 0.66. 3/4 is equivalent to 75%, which is equal to 0.75. 6/8 is also equivalent to 75%, which is equal to 0.75, you can then easily line them up this way. Hope this has been able to help you
4 0
3 years ago
Can someone help me please?
Gwar [14]

Answer:

10.5 cm^2

Step-by-step explanation:

Area of a triangle = 1/2(L x H)

Reading from the diagram

length = 7 cm

height = 3 cm

therefore

Area of the triangle = 1/2( 7×3)

Area = 10.5 cm^2

4 0
3 years ago
If the ratio of purple bikes to red bikes is 8 to 12 and there are a total of 100 bikes, how many of them are purple? * 40 purpl
Marrrta [24]

Answer:

60

Step-by-step explanation:

sum the parts of the ratio, 8 + 12 = 20 parts

Divide the total by 20 to find the value of one part of the ratio

100 ÷ 20 = 5 ← value of 1 part of the ratio , thus

8 parts = 8 × 5 = 40 ← number of purple bikes

4 0
3 years ago
Other questions:
  • Please Help.
    12·2 answers
  • How many dimes did she have
    14·1 answer
  • A researcher wants to estimate the impact prenatal care during pregnancy can have on anemia rates in pregnant mothers by conduct
    11·1 answer
  • Please tell ans of attached photo
    5·1 answer
  • What is a35 for the arithmetic sequence presented in the table below?
    8·1 answer
  • What is the square root of 138
    14·2 answers
  • What is the slope of the line?
    10·1 answer
  • Jenna and todd are running for president of a school club. The candidates for vice president are todd,annie, and luis. Because t
    5·1 answer
  • 10 mm<br> 6 mm<br> b<br> What is the length of the missing leg?
    5·1 answer
  • Sara bought a pack of 6 waters. It cost 3.96. How much did each water cost?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!