A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190. What is the maximum height of the projectile? 82 feet 190 feet 226 feet 250 feet

Answers

Answer 1

Answer:

226 feet

Step-by-step explanation:

Answer 2

The maximum height of the projectile is 226 feet

How to calculate the maximum height of an object?

Given the equation of the height modelled as h(t) = –16t^2 + 48t + 190

The ball reaches the maximum height at the point where v = dh/dt = 0

dh/dt = -32t + 48
32t = 48
t = 1.5s

Get the maximum height;

h(1.5) = –16(1.5)^2 + 48(1.5) + 190

h(1.5) = -36 + 72 + 190
h(1.5) = 226 feet

Hence  the maximum height of the projectile is 226 feet

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Related Questions

Explain the difference between sales tax and income tax.

Answers

Answer:

Income tax is a separate issue from sales tax when you're running a small business. Income tax is the amount you pay on your total income from the business to the federal and state government. Sales tax is a percentage amount that your customers have to pay when they purchase certain items from your business.

Step-by-step explanation:

5(x+4)<75
please reply in the next 24 hours asap.

Answers

Answer:

x <11

Step-by-step explanation:

5(x+4)<75

Divide each side by 5

5/5(x+4)<75/5

x+4 < 15

Subtract 4 from each side

x+4-4 < 15-4

x <11

Answer:

[tex]x<11[/tex]

Step-by-step explanation:

Solve for x. Divide both sides by 5:

[tex]\frac{5(x+4)}{5}<\frac{75}{5}\\ \\x+4<15[/tex]

Subtract 4 from both sides to isolate x:

[tex]x+4-4<15-4\\x<11[/tex]

x is less than 11.

Finito.

Can someone plz determine the positive integers for me?? ( marking first as brainiest ) ( help is much appreciated:)

Answers

Answer:

10: 7 and 4

11: 1 and 3

12: 7 and 8

13: 3 and 5

14: 8 and 9

15: 10 and 14

These should be the answers, check with your teacher too.

Step-by-step explanation:

Find the whole.
500​% of what number is 4,800​?

Answers

Answer: 9.6
Explanation: if 500% is 4800 we would need to divide 4800 by 500 to find 1%
4800/500= 9.6
500% of 4,800 is 960

What is the value of q

Answers

Answer:

70

Step-by-step explanation:

angles on a straight line add up to 180 degrees add 52+58=100 then minus from 180 =70

can somebody help me answer this question 1 + 1 thank you it's urgent ​

Answers

Answer:1+1=2

Step-by-step explanation:Because 1+1=2

Answer:

2

Step-by-step explanation:

Use the interactive tool to plot several points in each quadrant of the coordinate plane. What can you say about all the y-values in quadrant II?

Answers

Answer:

All positive. :)

Step-by-step explanation:

took it give me brainelist if it's right ty

Answer:

THE ANSWER IS A

Step-by-step explanation:

What is another term for y value

Answers

Range.

Domain & Range are other terms for X&Y.
The answer isn't A, because reciprocal means opposite.
The answer isn't B, because function is when the y values do not repeat in a pattern.
The answer isn't D, because an independent value is X.


The answer is C, Range is another term for a y value.

Another term for y value is range.

What is domain and range of function?

The domain of a function is a set of values for which the function is defined.

The range of the function is the set of all values that a function takes.

Now in the given question, for another term of y-

Reciprocal- reciprocal means opposite.

Function- function is when the y values do not repeat in a pattern.

Range- Range is another term for a y value.

Independent Value - an independent value is X.

Therefore,another term for a y value is Range.

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Ashley use 1/5 cup of winegar in her salad dressing recipe. How much
vinegar would Ashley use to make 2/3 of a recipe? *

Answers

Answer:

I think the answer is 2/15 but I'm not a hundred percent sure

Ashley would use [tex]\(\frac{2}{15}\)[/tex] cup of vinegar to make [tex]\(2/3\)[/tex] of her salad dressing recipe.

To find out how much vinegar Ashley would use to make 2/3 of her salad dressing recipe, we need to calculate the amount of vinegar used in the full recipe and then scale it down to 2/3 of that amount.

In the full recipe, Ashley uses 1/5 cup of vinegar. To make 2/3 of the recipe, we multiply the amount of vinegar needed for the full recipe by 2/3:

[tex]\[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1}{5} \text{ cup} \times \frac{2}{3} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1}{5} \times \frac{2}{3} \text{ cup} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1 \times 2}{5 \times 3} \text{ cup} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{2}{15} \text{ cup} \][/tex]

So, Ashley would use [tex]\(\frac{2}{15}\)[/tex] cup of vinegar to make 2/3 of her salad dressing recipe. Simplifying [tex]\(\frac{2}{15}\)[/tex] gives us [tex]\(\frac{2}{15} = \frac{2 \div 1}{15 \div 1} = \frac{2}{15}\)[/tex], which is already in its simplest form. Thus, the final answer remains [tex]\(\frac{2}{15}\)[/tex] cup of vinegar.

What is the area of this polygon?




42.5 units²


41.5 units²


35.5 units²


29.5 units²

Answers

Step-by-step explanation:

where is the polygon??

No need to worry, I know the original question that was being asked.

Here is the answer to the problem:

Your friend adds (2.5*10^9) and (5.3*10^8) . Is your friend correct?

Answers

Answer:

the correct answer would be 3030000000

Step-by-step explanation:

2500000000+530000000=3030000000

Find g(x), where g(x) is the translation 7 units up of f(x) = -2x - 9.
Write your answer in the form mx + b, where m and b are integers.

Answers

Answer:

g(x) = -2x - 2

Step-by-step explanation:

When translating up, you are changing the y-intercept, b, or in this case, -9.

To solve this, simply add 7 to -9, since you are moving upwards. You will get -2.

Hope this helps!

Monica sells lemonade over the summer and uses conical paper cups to serve the lemonade. Each cupis ퟖcentimeters in diameter and ퟏퟏcentimeters tall. She starts with a ퟏퟎ-gallon container (one gallon is equivalent to ퟑퟕퟖퟓ풄풎ퟑ)

Answers

Answer:

Part A Answer = 206

Part B Answer= 5

Step-by-step explanation:

Part A Explanation:

The formula for volume of a cone is V=(1/3) pi*r^2 h

So then you plug in. V= 1/3 pi (4)^2(11)

You get the radius by dividing the diameter by 2

When you multiply  it all it becomes 184.31cm^3 (Save this for later on in this Part A question)

Now we have to find the Volume of the cooler. That would be: 10*3785=37850 Since there were 10 gallons and each gallon is 3785 cm^3 you multiply them together.

Then you divide the volume of the cooler by the volume of the cone cup: 37,850/184.31=205.36 but since you cannot have 205.36th of a cup you need to get another one since 205 would not be enough giving us a total of 206 cups.

Part B explanation: Since there are 50 cups per package you would have to divide 206 by 50. 206/50=4.12 but again since you cannot buy 4.12 of a package you need to buy 5 packages for it to be enough.  

       

Ohn always wears a shirt, pants, socks, and shoes. He owns 1212 12 12 pairs of socks, 33 3 3 pairs of shoes, 55 5 5 pairs of pants, and 55 5 5 shirts. How many different outfits can John make?

Answers

Answer:

900 outfits

Step-by-step explanation:

Assuming that every shirt, pair of pants, pair of socks and pair of shoes are different, the number of different outfits that John can make is determined by multiplying the quantity available of each item (shirt, pants, socks, and shoes):

[tex]n=12*3*5*5\\n=900\ outfits[/tex]

John can make 900 different outfits.

4. A ramp is being constructed with wood and then filled with concrete. How many cubic feet of concrete will be needed to complete the ramp?

Answers

Answer:2.5

Step-by-step explanation:

Consider the solid formed by rotating a 2 x 3 rectangle with vertices (2,0), (4,0), (2,3), and (4,3) about the y-axis select all the statements that are true about the resulting figure.
It will be a rectangle in the 3rd quadrant
It will be a solid cylinder with a radius of 2
It will be a hollow cylinder, the central core has a radius of 2
It will have a surface area equal to 56pi
It will have a surface area equal to 48pi

Answers

Answer: It will be a hollow cylinder, the central core has a radius of 2 and It will have a surface area equal to 48pi

Step-by-step explanation:

Just did it on algebra nation

It would be great help!!

Answers

Ok no freaking problem
x = 162°
because these are two corresponding angles

Lera brought a watermelon that weighed b kg to a party. Nick brought a box of candies. How much is the weight of the box of candies greater than the weight of the watermelon if the weight of the watermelon is 2/5 of the weight of the box of candies?


IT ISN'T 2.5 OR 1.5

Answers

Answer:

The weight of the box of candies is 1.5b kg greater than the weight of the watermelon.

Step-by-step explanation:

Let's begin by listing out the variables we were given:

weight of the watermelon = b (kg),

weight of watermelon = (2/5) * weight of candies

weight of candies = 1 ÷ (2/5) = 1 ÷ 0.4

weight of candies = 2.5b (kg)

How much is the weight of the box of candies greater than the weight of the watermelon is given by:

weight of the box of candies - weight of watermelon= 2.5b - b = 1.5b (kg)

Therefore, the weight of the box of candies is greater than the weight of the watermelon by 1.5b (kg)

The cross section of rectangular prism A measures 3 units by 2 units. The cross section of triangular prism B has a base that measures 4 units and a height of 3 units. If the length of each prism is 3.61 units, which statement is true?

Answers

Check the attached picture for the diagram attached to the question

Answer: VOLUME A = VOLUME B

Step-by-step explanation:

The volume of a prism = cross-sectional area × length

PRISM A:

Rectangular prism

Cross-section, as given above, equals 3units by 2units

Therefore, the Area of the cross-section equals

Area of rectangle= Length × Width

Area of rectangle( 3×2) = 6

Length = 3.61

The volume is 6 × 3.61 = 21.66 unit^3

PRISM B:

Triangular prism:

Cross-section, as given above, equals 4units by 3units

Therefore, the Area of the cross-section equals

Area of triangle = (1/2) × base × height

Area of triangle 0.5 × 4 × 3= 6

Length = 3.61

The volume is 6 × 3.61 = 21.66unit^3

Answer: D) Volume A = Volume B

Here is the equation of a circle in standard form.
(x + 10)2 + (y + 9)2 = 100

What is the radius?

A. 100
B. 50
C. 10

Answers

Answer:

C

Step-by-step explanation:

The equation is in the standard form for a circle:

(x-h)^2+(y-k)^2=r^2

where (h,k) is the center, and r is the radius

If we compare the 2 equations:

(x-h)^2+(y-k)^2=r^2

(x + 10)2 + (y + 9)2 = 100

We can see that r^2 is equal to 100. Let's set them equal to each other.

r^2=100

Since r is being squared, take the square root of both sides. This will cancel out the exponent.

[tex]\sqrt{r^2}=\sqrt{100}[/tex]

r=10

So, our radius is 10, or choice C

Answer:

c

Step-by-step explanation:

OMY

I was so thrown off my the 2's

square root of 100 = 10

If the number of bacteria in a colony doubles every 85 hours and there is currently a

population of 500 bacteria, what will the population be 170 hours from now?

bacteria

Answers

Answer:

2000 bacteria

Step-by-step explanation:

The number of bacteria double 2 times because 170/85=2. 500 times 2 is 1000 and 1000 times 2 is 2000.

What is the value of x in the equation -2/3x + 9 = 4/3x - 3 ?​

Answers

Answer:

x = 1/6

Step-by-step explanation:

hope it helps.

x= 1/6

Answer: 6

Step-by-step explanation:

[tex]-\frac{2}{3}x+9=\frac{4}{3}x-3[/tex]

Subtract [tex]\frac{4}{3}x[/tex] from both sides to leave variables on the left.

[tex]-\frac{4}{3}x-\frac{2}{3}x+9=\frac{4}{3}x-3-\frac{4}{3}x[/tex]

[tex]-\frac{4}{3}x-\frac{2}{3}x+9=-3[/tex]

Now subtract 9 from both sides to isolate independent variables on the right.

[tex]-\frac{4}{3}x-\frac{2}{3}x+9-9=-3-9[/tex]

[tex]-\frac{4}{3}x-\frac{2}{3}x=-3-9[/tex]

Combine like terms;

[tex]-\frac{6}{3}x=-12[/tex]

Simplify;

[tex]-2x=-12[/tex]

To completely isolate x, divide by -2

[tex]\frac{-2x}{-2}=\frac{-12}{-2}[/tex]

[tex]x=6[/tex]

If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
A.
-6 and -1
B.
-1 and 6
C.
1 and 6
D.
-6 and 1

Answers

Given the factors of function f as (x-6) and (x-1), the zeros of the function are 6 and 1.

What are zeros of a function f?

In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.

The factors of the function f are (x-6) and (x-1).

The zeros of function f are 1 and 6.

x - 6 = 0 ⇒ x = 6

x - 1 = 0 ⇒ x = 1

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Final answer:

The zeros of function f, given the factors (x - 6) and (x - 1), are 6 and 1. Hence, the correct answer to the student's question is option C: 1 and 6.

Explanation:

The factors of function f are given as (x − 6) and (x − 1). To find the zeros of function f, we need to set each factor equal to zero and solve for x. This gives us the equations:

x - 6 = 0 → x = 6

x - 1 = 0 → x = 1

Therefore, the zeros of function f are 6 and 1. Hence, the correct answer is option C: 1 and 6.

Find the whole.
155​% of what number is 93​?

Answers

155% of what number is 93?:

60

how to find function of x

Answers

Answer:

By using function notation

This question os incomplete

Please please help me with this question is hard and i will give you a Brainiest and 12 points

Answers

Answer:

x=0

Step-by-step explanation:

10(x-2) = -20

10(-2) = -20

A positive multiplied by a negative is a negative.

Hope this helps!

-MoCKEry

Answer:

0

Step-by-step explanation:

10(x−2)=−20

10x -20=-20

10x=0

x=0

someone please help!! i’ll mark you brainliest if answer is CORRECT.

Answers

The answer is 55 for BC

Coby needs to know the area and perimeter of his farm property. The length of his property is 1 6 mile and the width is 2 9 mile. What is the area? The area is sq mi. What is the perimeter? The perimeter is mi.

Answers

Answer:

P= 7/9 miles

A= (7/18) miles²

Step-by-step explanation:

Length 'l' = (1/6) mile

Width 'w'= (2/9) mile

Perimeter 'P' is given by:

'P' = 2l + 2w => 2(1/6) + 2(2/9)

P= 7/9 miles

Area 'A' is given by:

A= l x w =(1/6) x (2/9) = (7/18) miles²

A cookie factory produced 2,435,956 packages of cookies. There were 52 cookies in each package. How many cookies did the factory produce in all?

Answers

Answer: The factory produced 46845.3076923 cookies, though in context the answer does not make sense. If you were to estimate then it'll be 46845 cookies.

no the answer is 126,669,712 you multiply the numbers not divide :)

Glenn and Maggie own a regional chain of juice bars and are looking to expand in the coming year. They already have fifty shops, but they know they will need a loan to reach their goal of one hundred twenty five shops. Which type of banking institution is most suitable for Glenn and Maggie’s business?

Answers

Answer: A commercial bank.

if i could get brainliest that would be great

Step-by-step explanation:

Commercial banks are financial institutions whose functions, among many, are: offering banking services to individuals, groups and companies, to make profit. One of the roles performed by these types of financial institutions is to credit loans to individuals, small businesses, and other groups, and as such, they are the first line to which a small business, such as the one controlled by Glenn and Maggie, would go to, to request a loan to be able to open up their other branches. This bank would give them the loan and allow them to make profit, without having any ties to the banking institution, just as long as they return the investment given to them.

A "commercial bank" is most suitable for Glenn and Maggie’s business. A further explanation is below.

A financial organization generally includes commercials, provides trying to check account management, originates different loans, as well as provides entrepreneurs and business companies with basic investment instruments such as certifications of term deposit funds.Its mission should be to provide financial services around the world as well as businesses while also guaranteeing economic stability.

Thus the above answer is correct.

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