A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?
1.75 seconds B) 2.50 seconds C) 2.75 seconds D) 3.50 seconds

Answers

Answer 1

Answer:

1.75

Step-by-step explanation:

h(t) = -16t² + 56t

h'(t) = -32t + 56

To find time at max height equate h' to 0

0 = -32t + 56

t = 56/32 = 1.75 s

It takes 1.75 s to reach max highest point


Related Questions

The equation y=36x represents the relationship between x the number of yards and y the number of inches.

Which ordered pair represents the number of yards and number of inches?

(2,72) (4,40) (5,180) (40,4) (72,2) (180,5)

Answers

Answer:

(2 , 72) and (5 , 180)

Step-by-step explanation:

Options A (2 , 72) and C (5 , 180) will be the correct options.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

we are Given equation representing the relation between two variables 'x' and 'y' is,

y = 36x

Here, y = yards and x = inches

Now Satisfy this equation with each point given in the question;

Option A. (2, 72)

72 = 36 × 2

72 = 72

This is True

Option B. (4, 40)

40 = 36 × 4

40 = 144

This is False

Option C. (5, 180)

180 = 36 × 5

180 = 180

This is True

Option D. (40, 4)

4 = 36 × 40

4 = 1440

This is False

Option E. (72, 2)

2 = 36 × 72

2 = 2592

This is False

Option F. (180, 5)

5 = 36 × 180

5 = 6480

This is False

Therefore, Options (A) and (C) will be the correct options from all the other

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ASAP someone please put these answers in scientific notation.

Answers

for #7 it would be 321,000 and for #8 it would be 0.00159

can someone help me to solve the first problem only please I will mark you the brainly helpful answers pls!

Answers

Answer:

When 2 lines are parallel, the sum of interior corresponding angles = 180

120 + b = 180

b = 180 - 120 = 60

a + 30 = 180

a = 180 - 30 = 150

Tom started a stamp collection with 32 stamps each week he added 8 to his collection. Rhea started with 102 stamps each week she gave away 6

Answers

Answer:

The total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Step-by-step explanation:

Complete question

Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.

Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.

Write an equation to represent the number of stamps in Tom’s collection based on the  number of weeks he has been collecting stamps.

Solution

Let "X" be the number of weeks for which Tom collected the stamps

The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]

It is given that he collects 8 stamps per week

So the total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

An equation is given A =
4 π r^2

Answers

Answer:

D

Step-by-step explanation:

A = 4 π r^2

A/(4π) = r^2

r = sqrt(A/(4π))

Answer:

D

Step-by-step explanation:

Given

A = 4πr² ( divide both sides by 4π )

[tex]\frac{A}{4\pi }[/tex] = r² ( take the square root of both sides )

[tex]\sqrt{\frac{A}{4\pi } }[/tex] = r → D

A spinner is divided into 12 equal sections numbered 1-12. What is the probability of landing on a section with a number that is LESS THAN 7?

Answers

50% probability because if it less than 7, that is not-inclusive, this means 6, 5, 4, 3, 2, and 1 are the desired ones. All of these numbers make up a total of half (or 50%) of the spinner.

pls answer its due today

Answers

You can make a fraction first
In total: 50 pages
He read: 35 pages
Fraction: 35/50
Now multiply to get 100 in denominator
35/50 * 2/2 = 70/100
You can convert it into percentages

Solution: 70 percent

The fifth term in the expansion of (n + 3)6

Answers

Answer:

Step-by-step explanation:

i am assuming this is  (n+3)^6 if so

729+1458x+1215x^2+540x^3+135x^4+18x^5+x^6

the fifth term is 135x^4

The fifth term of the expression (n + 3)⁶ is 1,215n².

What is binomial theorem?

An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem.

The given expression is,

(n + 3)⁶.

To find the fifth term in the expression,

Use binomial expansion method,

[tex](x+y)^n = ^{n}C_0 x^nny^0 + ^nC_1 x^{n-1}y^1 + ^nC_2 x^{n-2} y^2 + ...[/tex]

Use the binomial formula for expression (n + 3)⁶,

[tex](n+3)^6 = ^6C_0n^63^0 + ^6C_1n^53^1 + ^6C_2n^43^2 +^6C_3n^33^3 + ^6C_4n^23^4 + ^6C_5n^13^5 + ^6C_6n^03^6[/tex]

The fifth term of the expression is [tex]^6C_4n^23^4[/tex].

The term [tex]^6C_4n^23^4[/tex] can be simplified as,

[tex]^6C_4n^23^4[/tex] = 15 x n² x 81 = 1215n².

The fifth term of the expression (n + 3)⁶ is 1,215n².

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Which best compares the volumes of pyramid X and pyramid Y?

A. The volumes of X and Y are equivalent.

B. The volume of X is half the volume of Y.

C. The volume of Y is half the volume of X.

D. The volume of X is 10 times the volume of Y.

Answers

Answer:

The pyramid X has a square base with base length of 5 cm, base width of 6cm and makes a 90 degree angle with the pyramid height. A pyramid Y has a triangular base with 2 sides measuring 7.5 cm and 8 cm respectively.

Answer:

The volumes of X and Y are equivalent.

Step-by-step explanation:

The number (√5+2)/(√5-2)
is:
(a) a rational number
(b) an irrational number
(c) an integer
(d) a natural number

Answers

Answer:

b:  irrational

Step-by-step explanation:

  (√5+2)

--------------  is given.

  (√5 - 2)

If we multiply numerator and denominator by (√5+2), we succeed in removing the square root symbol from the denominator:

(√5+2)(√5+2)

---------------------

(√5+2)(√5- 2)

and the denominator becomes 5 - 2, or 3.  The denominator is now rational, but the numerator still involves the square root symbol, so overall the given number is irrational.

You flip a coin 50 times. Of the 50 flips, the coin landed on heads 30 times. Use the questions below to compare the experimental probability of flipping heads with the theoretical probability of flipping heads.

Answers

Given:

Of the 50 flips, the coin landed on heads 30 times.

To find:

The experimental probability of flipping heads and compare it with the theoretical probability of flipping heads.

Solution:

We have,

Total number of trials = 50

Total number of heads = 30

The experimental probability of flipping heads is:

[tex]\text{Experimental probability}=\dfrac{\text{Total number of heads}}{\text{Total number of trials}}[/tex]

[tex]\text{Experimental probability}=\dfrac{30}{50}[/tex]

[tex]\text{Experimental probability}=\dfrac{3}{5}[/tex]

[tex]\text{Experimental probability}=0.6[/tex]

A coin has two sides one is heads and another is tails. So, the theoretical probability of flipping heads is:

[tex]\text{Theoretical probability}=\dfrac{1}{2}[/tex]

[tex]\text{Theoretical probability}=0.5[/tex]

Therefore, the experimental probability of flipping heads is 0.6 and the theoretical probability of flipping heads is 0.5. So, the experimental probability is greater than the theoretical probability of flipping heads.

Find m
160
260
50
80

Answers

The answer is a 160

Find the length of the missing side. Round to the nearest tenth.

Find the length of the missing side. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

hey watch it fatty

Farah saved $15 everyday while shirley saved $10 everyday. Shirley started saving money 5 days earlier than Farah. How many days will it take Farah to have the same amount of savings as Shirley?​

Answers

Answer:

6 days

Step-by-step explanation:

shirley earned 50 dollars before farah started saving

50-15

60-30

70-45

80-60

90-85

100-100

6 days

In 10 days Farah and Shirley will have the same amount of money

What is a linear equation in one variable?

A linear equation is an alzebraic expression which has highest degree of one and contains only one variable.

In the given question farah saved 15$/day and Shirley saved 10$/day

Shirley started 5 days earlier so in 5 days she will save 10 x 5 = 50$

let assume days to be x.

So,

   10x + 50 = 15x

   5x = 50

    x = 10 .

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a line is the locus of points that:

Answers

Answer:

A line is the locus of points that: are the same distance from two points. That's the equation for a line.

Step-by-step explanation:

hope its help

Answer:

A line is the locus of points that: are the same distance from two points.

Step-by-step explanation:

If a haunted house was open for 15 days and 200 people paid 10 dollars to enter the attraction of those days, how much money would you make?

Answers

Answer:

30000

Step-by-step explanation:

200x10x15=30000


Suzanne pours 260 mL of milk into her glass.
Which expression shows how Suzanne could find this amount of milk in liters?

Answers

Answer:

1 L = 1000 mL

Step-by-step explanation:

B. 260 × 100

manuela wants to make a cube from construction paper . if she cuts out the design below and folds it to make a cube , what will be the surface area of the cube?
25 cm2
70 cm2
125 cm2
150 cm2

Answers

Answer:

150 cm2

Step-by-step explanation:

one square would simply be base x height our base is 5 and height is 5 so i multiply that and get 25 since this is a cube all sides are equal so I will simply just multiply 25 by the number of sides since a cube has 6 sides our equation to get the answer would be 25 x 6 = 150 so 150 is our answer! Hope this is a good explanation! Have a good day!

The product of two numbers is 36.
The sum of the numbers is 13.
What are the two numbers?

Answers

the answer is 9 and 4

Enter the degree of the polynomial below:


6x^6 + 9x^3 + 3x^2 - 4x^10 - 9x^5 - 5x^6

Answers

Answer:

10

Step-by-step explanation:

The highest exponent determines the degree of a polynomial.

Please help me find the volume of these figures. (Geometry)

Answers

Answer:

45.) 49.) V=LBH

Step-by-step explanation:

V= 15

5*3*1=15

V= 891

11*9*9

If the cost of 4 1/2litres of milk is 89 1/2rupees, find the cost of 1 litre of milk. Pls explain too

Answers

Answer:

x=19.88

Step-by-step explanation:

Okay, let's try and create a "table" of what we know, and what we are looking for.

4.5 litres of milk            cost                 89.5 rupees

1 litre                              costs                x rupees

Obviously, we are looking for x.

The method I'm about to tell you, might be familiar. Imagine that there was a giant X where the words cost and costs are above. There'd be a line connecting 4.5 litres of milk with the rupees we are looking for, and another line connecting 1 litre with the 89.5 rupees.

If we were to form an equation to solve for x, we'd put the connecting terms together, with an "=" between them, so we'd have this:

4.5*x=1*89.5

That's our equation, so let's solve for x.

x=89.5/4.5 => x=19.88 , let's say 20 rupees

Please help!!!!!!!!!!!!!!!!!!!!!!!!!! ASAP!!!!!!!

0.8333 and 0, which of these are are rational numbers? Please explain in the space below.

Answers

Answer:

0 is the rational number

Step-by-step explanation:

Yes, 0 is the rational number. Since we know, a rational number can be expressed as p/q, where p and q are integers and q is not equal to zero. Thus, we can express 0 as p/q, where p is equal to zero and q is an integer.

Answer:

I think 0.8333

Step-by-step explanation:

a rational number has decimals which terminate or repeat,so 0.8333 has decimals which are repeating

What is the volume of the trapezoidal prism with a height of 10 cm, base lengths of 3 and 4 cm, base height of 2 cm?

Answers

Given:

Height of a trapezoidal prism = 10 cm

Base lengths are 3 and 4 cm.

Base height = 2 cm

To find:

The volume of the trapezoidal prism.

Solution:

Base area of a trapezoidal prism

[tex]B=\dfrac{a+b}{2}\times h[/tex]

Where, a,b are base lengths and h is the base height.

Putting [tex]a=3,b=4,h=2[/tex], we get

[tex]B=\dfrac{3+4}{2}\times 2[/tex]

[tex]B=7[/tex]

The volume of a trapezoidal prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

Putting [tex]B=7,h=10[/tex], we get

[tex]V=7\times 10[/tex]

[tex]V=70[/tex]

Therefore, the volume of the trapezoidal prism is 70 cubic cm.

Angle E and angle H are supplementary. If angle E has a measure of 156 degrees, find the measure of angle H

Answers

Answer:

24 degrees

Step-by-step explanation:

Supplementary angles sum up to give 180°

E + H = 180°

156 + H = 180

H = 180 - 156

H = 24°

2. Mercury High School is requiring students to purchase parking permits this year in order to

use campus parking lots. It costs the school a one-time fee of $500 to have the logo

designed. It also costs $2 per permit to print and cut out each one. They expect the average

cost of each permit to be $6.

a. Write a rational equation that describes the situation above.

b. How many parking permits does Mercury High School need to sell in order for the

average cost of a student's parking permit to be $6? Solve your equation from part (a)

to answer the question. Justify your solution as it relates to the context.

Answers

Answer:

a. $6 =  ($500 + $2q) / q

b. 125

Average cost =  ($500 + $2q) / q

($500 + $2x 125) / 125 = $6

Step-by-step explanation:

Average cost = total cost / quantity produced

total cost = fixed cost + variable cost

Fixed costs are costs that do not vary with output. e.g. the cost of the logo

Variable costs are costs that vary with production e.g. cost of printing and cutting

Variable cost = $2 x quantity of parking ticket sold

let q =  quantity of parking ticket sold

variable cost = 2q

$6 = ($500 + $2q) / q

to determine the number of parking ticket to be sold for average cost to be $6, take the following steps

Multiply both sides of the equation by q

6q = 500 + 2q

collect like terms

6q - 2q = 500

4q = 500

q = 125

125 tickets have to be sold for average cost to the $125

to justify the answer, replace 125 in the first equation to confirm if $6 would gotten as the average cost

($500 + $2q) / q

($500 + $2x 125) / 125 = $6

A plane travels at a speed of 690 feet per second. How many feet will passengers travel on the plane in one minute?​

Answers

Answer:

41,400 ft per second

Step-by-step explanation:

1 minute is 60 seconds.

x = ft per second

Ratio:

[tex]\frac{690}{1} =\frac{x}{60} \\\\x=41400[/tex]

20 points and brainliest pls help!!!

Answers

Answer:

t=20

Step-by-step explanation:

(135). I buy 7 CDs costing £5.99. How much change do I get from £50?

Answers

Answer:

8.07, excluding taxes.

Step-by-step explanation:

7x5.99 = 41.93

50-41.93 = 8.07

5.99 x 7 = 41.93
41.93 - 50 = 8.07
Answer = £8.07

In the figure shown A) 4
B)12
C)26
D)34
HELP ASAP WILL MAKE BRIANLIEST

Answers

Answer:

C

Step-by-step explanation:

x+8+2x+4=90

3x+12=90

3x=78

x=26

B! I had that question before. Hope you get it right :)
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