A projectile is thrown upward so that it's distance above the ground after t seconds is h=-16t^2+480t. After how many seconds does it reach its maximum height?

Answers

Answer 1

Answer:

t = 15 s

Step-by-step explanation:

A projectile is thrown upward so that it's distance above the ground after t seconds is as follows :

[tex]h=-16t^2+480t[/tex] ...(1)

We need to find after how many seconds does it reach its maximum height. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

[tex]\dfrac{d(-16t^2+480t)}{dt}=0\\\\-32t+480=0\\\\t=\dfrac{480}{32}\\\\t=15\ s[/tex]

So, it will reach its maximum height in 15 seconds.


Related Questions

Suppose there are 28,200,000 small businesses in the economy today. Twenty-five percent of those businesses have no employees. What is the number of businesses in the economy with no employees?

Answers

Answer:

the number of businesses with no employees is 7,050,000

Step-by-step explanation:

The computation of the number of businesses in the economy have no employees is shown below:

Given that

There are a total of 28,200,000

Out of which 25% of those businesses have no employees

So, the number of businesses in the economy is

= 28,200,000 × 25%

= 7,050,000

Hence, the number of businesses with no employees is 7,050,000

tony is making gift bags for his friends. he has 6 bags and places 9 gifts into each bag .how many gifts did he place in the bags

Answers

Answer:

6 x 9 is 54

Step-by-step explanation:

54 bags because, it says each so your multiplying.

Q4. Find the range, standard deviation, and variance for the following sample data:
33, 55, 29, 40, 8, 90, 61, 41, 17, 80, 56, 17, 59, 21,78
plz answer this!

Answers

Answer:

40 I think but no I think

What is being done to the variable in the equation 3 + g = -9? The number 3 is being subtracted from it. The number 3 is being added to it. The number -9 is being subtracted from it. The number -9 is being added to it.

Answers

Answer:

the number 3 is being subtracted from it because you want to get by itself

Kenji is decorating papers with a total of 15 heart stickers and 12 star stickers for the child he is babysitting. If he wants to make all the papers identical, with the same combination of heart and star stickers and no stickers left over, what is the greatest number of pages Kenji can decorate?

Answers

Answer: The greatest number of pages Kenji can decorate = 3

Step-by-step explanation:

Given: Total heart stickers = 15

Total star stickers =12

If all the papers identical, with the same combination of heart and star stickers and no stickers left over.

Then the greatest number of pages Kenji can decorate = GCD(15,12)  [GCD=greatest common divisor]

Since 15 = 3 x 5

12=2 x 2 x 3

GCD(15,12) =3

Hence, the greatest number of pages Kenji can decorate = 3

1/2 (X+6)= 18 what is the value of x ​

Answers

Answer:

The absolute value for x would be 30

X=30

what is 1.54x10^21 in scientific notation

Answers

Answer:

Scientific notation: 1.54 x 10^21

Scientific e notation: 1.54e21

Real number: 1540000000000000000000

Oil prices are projected to increase by 75% by next May. A quart of oil currently costs $2.15. What is the projected cost of a gallon of oil next May? Round your answer to the nearest hundredth.

Answers

Answer:

Future cost per gallon= $15.05

Step-by-step explanation:

Giving the following information:

Oil prices are projected to increase by 75% by next May. A quart of oil currently costs $2.15.

We know that 1 quart equals 0.25 gallons.

First, we will determine the actual cost per gallon.

Actual cost per gallon= 2.15*4= $8.6

Now, the cost for May:

Future cost per gallon= 8.6*1.75

Future cost per gallon= $15.05

Answer:

15.05

Step-by-step explanation:

What would be the height of 1000 Canadian Dimes?

Answers

A 48 inch TV hdhsbsbdj

The height of 100 Canadian dimes is 1220 millimeter.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have 1000 Canadian dimes.

Assume that the height of 100 Canadian dimes is [x] mm. Then, we can write -

[x] = 1000 x 1.22

[x] = 1220 mm

Therefore, the height of 100 Canadian dimes is 1220 millimeter.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Sammy has an annuity that pays him $9600 at the beginning of each year. Assume the economy will grow at a rate of 3.1% annually. What is
the value of the annuity if he received it now instead of over a period of 10 years? (2 points)
a $78,044.65
ь $80,651.16
c $81,075.98
d $83,999.29

Answers

Answer:

C

Step-by-step explanation:

can you guys help me with this?? 11 points and brainly. pleaseee and thank uuu!!

Answers

Answer:

Graph A fails the vertical line test

Step-by-step explanation:

The vertical line test will fail when a vertical line touches two or more points on the graph

Graph A will fail the vertical line test.  The y axis touches two points on the graph.

The set of ordered pairs represents a function. Write a rule that represents the function.

Answers

The answer is: y = 4x + 1

What is x and y ?

I’ll give brainliest!

The options are on the side of the screen/triangle..

Answers

Answer:

I'm pretty sure x is 3

Step-by-step explanation:

have fun with the points just spam bruh tho ​

Answers

apple bottom jeans boots with tha furrr

Answer:

thanks have a great day

Step-by-step explanation:

A plumbing company charges $35 per hour plus a $25 travel charge for a service call. Another plumbing company charges $40 per hour for a service call with no travel charge. Solve the equation 35h+25=40h to find how many hours h a service call must be for the two companies to charge the same amount.



__ hour(s)

Answers

Answer:

5 hours

Step-by-step explanation:

35h + 25=40h

implies 25=40h-35h

25=5h

dividing both sides by 5,

h=5

In a final year examination, 33 students pass in Chinese, 29 students pass in English, 20 students pass in both subjects and 8 students fail in both subjects. How many students are in the class?

Answers

Answer:

50

Step-by-step explanation:

33+29= 62

62-20= 42

42+8= 50 students

Does anyone know what the answer is ?

Answers

Answer:

x intercept : -3,0 y intercept : 0,6

At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (c) A total of $68.75 was spent on pizza and sodas at the party. Let n be the number of pizzas purchased. Set up an equation involving n that models the scenario. Solve it and state both the number of pizzas and the number of sodas that were bought.

Answers

Answer:

5 pizzas and 17 sodas were bought

Step-by-step explanation:

Here, we want to get the number of pizza and sodas bought

Let n be the number of pizzas bought

we are told that the number of sodas bought was 2 more than 3 times the number of pizzas

So the number of sodas will be;

3n + 2

So let’s have the equations based on the prices;

pizzas cost $9.50, soda cost $1.25

Thus;

9.5n + 1.25(3n + 2) = 68.75

9.5n + 3.75n + 2.5 = 68.75

13.25n = 68.75 - 2.5

13.25n = 66.25

n = 66.25/13.25

n = 5

Number of pizzas bought is 5

number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17

If there are 20 values in a data set in order from smallest to largest, what is
the median of the data set?
A. The 10th value
B. The 9th value
C. The mean of the 10th and 11th values
D. The mean of the 9th and 10th values

Answers

Answer:

C The mean of the 10th and 11th values

Step-by-step explanation:

Strike the lowest and largest number until you get 1 or 2:

1, 2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19, 20

2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19

3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18

4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17

5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16,

,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15

,7 8, 9, 10, 11, 12, 13 ,14,

8, 9, 10, 11, 12, 13

9, 10, 11, 12

10, 11,

Finding the Mean:

10+11

21

21/2

Mean:

10.5

please help me in this question​

Answers

Answer:

30

Step-by-step explanation:

use Pythagoras theorem at first to find the third side of the triangle it will come 5

then use the formula to find the area of triangle

A=(5x12)/2=30cm2

what are the domain and the range ​

Answers

Answer:

Domain 1,3,5,7,9,11

Range 5,6,7,8,9,10

Rewrite the product as a power: a^7 *y^7

Answers

Answer:

ay^7

Step-by-step explanation:

just give me the points.

Please Help!!!!!!!!!!
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 2/5?
line n, with slope -5/2
line m, with slope 5/2
line p, with slope 2/5

Answers

Answer:

Step-by-step explanation:

n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.

m is neither.

p is parallel to the given line. For example y = 2/5x

and y = 2/5 x + 9  are parallel to each other.

What is the solution to 34x+85=3(13x+7)

Answers

Answer:

x=12.8

Step-by-step explanation:

34x+85=39x+21

34x-39x=21-85

-5x = -64

x = -64/-5

x = 12.8

Answer:

x = 34/5

Step-by-step explanation:

Just solve the equation

[tex]34x + 85 = 3(13x + 17)\\34x + 85 = 39x + 51\\85 - 51 = 39x - 34x\\34 = 5x\\x = 34/5[/tex]

ive done one but i cant seem to get the rest right please help

Answers

Answer and Step-by-step explanation:

All you have to do is plug 6 in for x.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

A) 6 + 4 = 10      The 6 and 4 add together to make 10.

B) 3(6) = 18        The 3 and 6 multiply together to make 18.

C) [tex]\frac{6}{2}[/tex] = 3              The 6 is divided by the 2 to make 3.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

a) 10 b) 18 c) 3
let me know if im right

42 pushups in 3 minutes in a unit rate

Answers

Answer:

14 per minute

Step-by-step explanation:

42 / 3

Yettle is correct 42 push-ups divided by 3 minutes is a unit rate of 14 push-ups per minute

Please help!! I’ve been stuck on 3 & 4!

Answers

f(x) is f(x)=30x+40
g(x) is g(x)=35x+5

last twi answers are

250$ to deliver 7 cubic yards of pea stone

Solve.

25 ‒ (‒ 42) =

A.
67
B.
17
C.
‒17
D.
‒67

Answers

A because when subtracting with a negative the subtracting sign and the negative sign cancel out causing the subtract sign and negative number to switch to positive so after that you just add the two numbers 25+42 which is 67

Answer:

You are Correct!!!

Step-by-step explanation:

PLEASEEE HELPPPP ASAPPPPP

Answers

Answer:

70

Step-by-step explanation:

For f(-4)=5(2-3(-4))=5(2+12) because - times - makes +

Therefore 5x2=10 + 5x12=60

10+60=70

The manager of a summer camp has 14 baseballs and 23 tennis balls. The manager buys some boxes of baseballs with 12 baseballs to a box and an equal number of boxes of tennis balls with 16 tennis balls to a box. Write an expression to represent the total number of balls. PLEASE PLEASE HELP I NEED IT DONE TONIGHTTT

Answers

Answer:

u want full equation?

Step-by-step explanation:

Answer

baseballs:14+12n

tennies balls: 23+16n

14+12n+23+16n

14+23+12n+16n

(14+23)+(12n+16n)=37+28n

(n= the number of boxes of each type)

Step 1: We write expressions for the total number of baseballs and tennis balls

Step 2: We find an expression fr the total number of balls:

We combine the above expressions:

We use the Commutative Property:

We combine like terms:

( the answer is 37+28n)

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