a projectile is thrown upwards from an initial height of 1584 feet so that it's distance above the ground after t seconds is modeled by the given function.
h(t)=-16t^2+480t+1584.

what is the maximum height it will reach?​

Answers

Answer 1

Answer:

5184 ft

Step-by-step explanation:

Given

A quadratic function

h(t)= -16t^2+480t+1584.

Its maximum is its vertex

Vertex formula for ax^2 + bx + c is

x = -b/2a

Applying this to our function

t = -480/2(-16) = 15

Maximum height is reached after 15 seconds and is

h(15) = -16*15^2 + 480*15 + 1584 = 5184 ft

Related Questions

Approximate √60 to the nearest tenth with step by step directions please! And thanks!

Answers

Answer:

7.7 is the answer

Step-by-step explanation:

(credit to manics.info)

Step 1:

Calculate the square root of 60 to be:

√60 = 7.74596669241483

Step 2:

Reduce the tail of the answer above to two numbers after the decimal point:

7.74

Step 3:

Round 7.74 so you only have one digit after the decimal point to get the answer:

7.7

To check that the answer is correct, use your calculator to confirm that 7.72 is about 60.

Hope this help and have a great day!

Help me ASAP please!!!

Answers

Answer:

30 centimeters

Step-by-step explanation:

You have to find the scaling of the lengths first, and to do that, you divide the 20 by 8, which would be 2.5. After, you multiply 2.5 by 12 to get your answer.

Answer:

30

Step-by-step explanation:

20 divided by 8 is 2.5, so you know that the triangle expanded by 2.5.

Multiply the small triangle's length by 2.5 to get your answer of 30.

The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part A: What is the constant of proportionality shown in the graph?

Answers

Answer:

The constant of proportionality is 3/4

Step-by-step explanation:

Here, we want to write the constant of proportionality in the given graph .

To find the constant of proportionality, we need to find the slope of the line.

We can get the slope by using two of the points on the line.

Mathematically, slope of a line m is;

m = (y2-y1)/(x2-x1)

Let (x1,y1) = (120,90) and (x2,y2) = (400,300)

slope will be ( 300-90)/(400-120) = 210/280 = 3/4

Simplify the expression (2 − 5)(3 + 7) − (4 + 3). Show your work!

Answers

Answer:

=-37

Step-by-step explanation:

=-3(3+7) - ( 4+3)

=-3.10-(4+3)

=-3.10-7

=-30-7

=-37

Answer:

Your final answer will be

−37

Step-by-step explanation:

(2−5)(3+7)−(4+3)

= −3(3+7)−(4+3)

= (−3)(10)−(4+3)

= −30−(4+3)

= −30−7

= −37

I don’t get it someone help it’s due in 40 minutes

Answers

Answer:    y = -0.2x+13

===========================================================

Explanation:

To find the slope, all you need are two points.

Pick any two columns to form the two points. Once you have your two points, use the slope formula

I'll use the first two columns

m = (y2-y1)/(x2-x1)

m = (12.2-13)/(4-0)

m = -0.8/4

m = -0.2 is the slope

The y intercept is b = 13 since x = 0 leads to y = 13 (column 1)

With m = -0.2 and b = 13, we go from y = mx+b to y = -0.2x+13

What is an equation of the line that passes through the point (5, 4) and is parallel to
the line 6x – 5y = 15?
Someone please help me

Answers

Answer & Step-by-step explanation:

When two lines are parallel, their slopes are the same. To find the slope of the given equation, convert to slope-intercept form:

[tex]y=mx+b\\\\[/tex]

m is the slopeb is the y-intercept, which is the value of y when the value of x is zerox and y are the corresponding coordinate points (x,y)

[tex]6x-5y=15[/tex]

Solve for y. Subtract 6x from both sides:

[tex]6x-6x-5y=15-6x\\\\-5y=-6x+15[/tex]

Divide both sides by -5:

[tex]\frac{-5y}{-5} =\frac{-6x}{-5} +\frac{15}{-5} \\\\y=\frac{6}{5}x-3[/tex]

The slope is [tex]\frac{6}{5}[/tex].

Now you need to make an equation in point-slope form:

[tex]y-y_{1}=m(x-x_{1})[/tex]

m is the slope[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the coordinate points

Insert known values:

[tex]y-4=\frac{6}{5}(x-5)[/tex]

You can use this equation, or you can convert to slope-intercept form by solving for y:

Use the distributive property:

[tex]y-4=\frac{6}{5} x-6[/tex]

Add 4 to both sides:

[tex]y-4+4=\frac{6}{5}x-6+4\\\\ y=\frac{6}{5}x-2[/tex]

:Done

The equation of the perpendicular line is [tex]y = \frac 65x - 2[/tex]

The equation of the line is given as:

[tex]6x -5y = 15[/tex]

Start by calculating the slope (m) of the line as follows:

[tex]6x -5y = 15[/tex]

Subtract 6x from both sides

[tex]-5y = 15 - 6x[/tex]

Divide both sides of the equations by -5

[tex]y = -3 + \frac65x[/tex]

Rewrite as:

[tex]y = \frac65x-3[/tex]

For a linear equation, y = mx + b, the slope of the line is m

So, the slope is:

[tex]m = \frac65[/tex]

The equation of the line is said to be parallel to the above equation

So, the slope of the line is:

[tex]m = \frac65[/tex]

The line is said to pass through point (5,4).

So, the equation of the line is:

[tex]y = m(x - x_1) +y_1[/tex]

This gives

[tex]y = \frac 65(x - 5) +4[/tex]

Expand

[tex]y = \frac 65x - 6 +4[/tex]

[tex]y = \frac 65x - 2[/tex]

Hence, the equation of the line is [tex]y = \frac 65x - 2[/tex]

Read more about line equations at:

https://brainly.com/question/14323743

I need the answer to this question for my math homework
−3 = x −11

Answers

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

-3 = x - 11

Step 2: Solve for x

Add 11 to both sides: 8 = xRewrite x = 8

Step 3: Check

Plug in x to verify it's a solution.

-3 = 8 - 11

-3 = -3

Answer:

X = 8

Step-by-step explanation:

8-11= -3. I think the easiest way to solve this if you are new to negative numbers is to use a number line.

Good luck!

*** hey can someone explain to me how to solve this question, thank youu

Answers

Answer: One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Step-by-step explanation:

Suppose you had two circular objects. Let the first circular object have a diameter of 26 cm and let second circular object have a diameter that is half as long as the diameter of the first. What would the circumference be for the second item in centimeters?

Answers

Answer:

40.82cm

Step-by-step explanation:

half of 26 is 13

the second's circle diameter is 13

the formula for circumference is C = 2πr

where r is the radius and π is 3.14

diameter =2r

13 = 2r

r = 6.5

2 x 6.5 x 3.14 = 40.82

40.82 cm  

Plz help me with number 1

Answers

For figure one angle 1 is 98 and for angle 2 it is 82 THEN for figure two both angles are 64 THE LAST ONE figure 3 angle 1 is 157 and angle 2 is 23

What’s the answer please help

Answers

Answer:

The correct answer is a.

If m= 8, how many solutions are there for the expression m - 8?
2
infinite
( hy
1
0

Answers

Step-by-step explanation:

0

Which equation has x=4 as the solution

Answers

Answer:

x + 6 = 10

x = 4

Answer:

A) [tex]log{4}[/tex] (3x+4) = 2

Step-by-step explanation:

took the test

What is the following equation in standard form? y= - 1/6x + 5

Answers

Answer:

x+6y=30

Step-by-step explanation:

Movers Company manufactures sneakers. The production of their new sneaker for the coming three months is budgeted as follows:​ ​ August 30,000 September 50,000 October 35,000 Each sneaker requires 2 hours of direct labor time. Direct labor wages average $15 per hour. Monthly overhead averages $10 per direct labor hour plus fixed overhead of $4,500. What is the direct labor cost budgeted for September?

Answers

Answer:

Direct labor cost= $1,500,000

Step-by-step explanation:

Giving the following information:

Production:

September 50,000

Each sneaker requires 2 hours of direct labor time.

Direct labor wages average $15 per hour.

First, we need to calculate the number of direct labor hours required:

Direct labor hours= 50,000*2= 100,000 hours

Now, the direct labor cost:

Direct labor cost= 100,000*15= $1,500,000

What is the result when x^3+2x^2– 11x + 8 is divided by x - 1?

Answers

Answer:

result is x^2+3x-8 sorry for the photo quality

What is 13,439 plus 26,948

Answers

Answer:

13,439+26,948= 40,387

What is the least common multiple (LCM) of 6, 12, and 15?

Answers

The lcm of 6 12 and 15 is 60 you welcome !

18 > 5k + k

A. K> 3
B. K >-6
C. K > - 1
D. K<3​

Answers

Answer: k < 3

......................

Which of the following statements is true?
A.
The rational number system is not closed under multiplication, because the product of two rational numbers is not always an irrational number.
B.
The rational number system is closed under multiplication, because the product of two rational numbers is always a rational number.
C.
The rational number system is not closed under multiplication, because the product of two rational numbers is not always a rational number.
D.
The rational number system is closed under multiplication, because the product of two rational numbers is always an irrational number.

Answers

Answer:

its c i tink but im not completly sure

Step-by-step explanation:

Answer: B. The rational number system is closed under multiplication, because the product of two rational numbers is always a rational number.

The explanation is in the photo below:

A recipe that yields 12 cups of soup calls for 28 ounces of beef broth. How many ounces of beef broth do you need to make 18 cups of the soup?

Answers

Answer:

42 ounces.

Step-by-step explanation:

First, divide the 28 ounces by the 12 cups. You would then have 2.33333333333 ounces of beef needed for one cup of soup. Then, you would multiply that by 18, and you would get 48.

Please help !!!
The seventh-graders at the middle school are going on a field trip to Hurricane Harbor. They will spend 6 1/2 hours at the water park. The students will need to ride 5 different water slides while they are there. If the time is evenly distributed, how many minutes will the students spend at each water slide?

Answers

Answer:

exabit for about 51 min

Step-by-step explanation:

COMMET IF I BE WRONG

Answer:

6 1/2×60=390 390÷5=78

Step-by-step explanation:

They will have an hour and 18 minutes per each water ride.

solve the equation. check your answer.
-14 = -4(9x - 1)​

Answers

Answer:

x = 0.5

Step-by-step explanation:

First, distribute -4 to the parentheses:

-14 = -4(9x - 1)​

-14 = -36x + 4

Subtract 4 from both sides:

-18 = -36x

Divide each side by -36

0.5 = x

x = 0.5

Answer :

➠ -14 = -4(9x - 1)

Multiplying by -1 on both sides,

we ge[tex]t[/tex]

➠ 14 = 4(9x - 1)

➠ 14 = (4 × 9x) - (4 × 1)

➠ 14 = 36x - 4

➠ 36x = 14 + 4

➠ 36x = 18

➠ x = 18/36

➠ x = 1/2

x = 0.5

Hope It Helps!

What are the terms in the expression 4mn+m+5

Answers

Answer:

4mn,m and, 5. The terms are anything that's not a symbol like + or = in an equation

P.s.

Please give me brainliest for my next rank.

Katelyn ate 1/3 of an apple pie, and Chad ate 3/8 of the same pie. What fraction of the pie was eaten?​

Answers

Answer:

17/24 or 0.708333

Step-by-step explanation:

hope that helps :)

Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The plant’s height is 37 centimeters, and it grows at a rate of 0.004 centimeter per hour of sunlight. If the number of hours of sunlight is represented by the variable s, which function can represent the height of the plant?

s(h) = 0.004h – 37
f(h) = 37h + 0.004
f(s) = 0.004s + 37

Answers

Answer:

f(h) = 0.004s + 37

Step-by-step explanation:

The correct representation of the height of the plant is;

          f(h) = 0.004s + 37

Given parameters;

  Height of plant  = 37cm

  Rate of growth  = 0.004cm/hr

  Number of hours of sunlight  = s

To solve this problem, the height of the plant is directly dependent on the amount of sunlight;

     f(h) signifies that height is a function

The height of the plant is 37cm;

         f(h) = 37

The plant grows at a rate of 0.004cm/hr;  number of hours of sunlight is s;

       0.004s

Therefore;

  f(h) = 37 + 0.004s

       

Answer:

f(s)=0.004s+37

Step-by-step explanation:

Please help me!, 40 points!

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

What is the question?

Step-by-step explanation:

I need help asap please ​

Answers

Answer:

its correct

Step-by-step explanation:

Answer:

I can help

Step-by-step explanation:

but i don't see the rest of the question lol

R
$
Landon invests $3000 into stocks. The
account has a rate of 10% and is com-
pounded annually. How much money is
in the account after 5 years? How much
interest did he earn?

Answers

1,500$ in interest was earned 4,500 is in the account total

For a regular 36-sided polygon, what is the degree of rotation?

Answers

360-gon all have 80-degree rotational symmetry.

Answer:

360-gon all have 80-degree rotational symmetry.

Step-by-step explanation:

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