A particle is moving along a projectile path at an initial height of 80 feet with an initial speed of 112 feet per second this can be represented by the function H(t) = 16t^2 + 112t + 80 what is the maximum height of this particle ?

A) 196 feet

B) 276 feet

C) 392 feet

D) 472 feet

Answer:

630 square meters.

Step-by-step explanation:

Given:

A triangular prism has an equilateral triangle base whose sides are 6 meters. The height of the prism is 35 meters, and the height of the base is 5.2 meters.

Question asked:

What is the lateral surface area of the prism?

Solution:

As we know:

[tex]Lateral\ surface\ area\ of\ the\ prism=Perimeter\ of\ the\ base\times height\ of\ the\ prism[/tex]

Perimeter of the equilateral triangle base = 6 + 6 + 6 = 18 meters

The height of the prism = 35 meters  

Lateral surface area of the prism = 18 [tex]\times[/tex] 35 = 630 square meters.

Thus, lateral surface area of the prism is 630 square meters.

Answer:

39.2

Step-by-step explanation:

Answer: 39.20

70% of 56 =  [tex]\frac{70}{100}\\[/tex] x 56

                 = $ 39.20

                 =$ 39.20            (it is already rounded to the nearest cent)

hope it will help you...

Answer:

216 boxes

Step-by-step explanation:

6*6*6 or 6^3

Or simply, 6*6 = 36 on one row. 36*6 rows is equal to 216 boxes.

Could i get brainliest?

Answer:

Step-by-step explanation:

Actually, the lesson is giving you wrong information. The exponential function written in the example does not work for the point (4, 24).

Here's another way to look at it.

Given

  two points: (x1, y1) and (x2, y2)

Solution

The exponential function can be written as ...

  y = (y1)(y2/y1)^((x -x1)/(x2 -x1))

Example

For the example points, the function would be ...

  y = (6)(24/6)^((x-2)/(4-2)) = 6·4^(x/2 -1) = (6/4)(4^(1/2))^x = (3/2)2^x

Check

  For x=2, y=(3/2)2^2 = 6. For x=4, y = (3/2)2^4 = 24.

You will notice that we figure out "b" and "a" as a part of the process of simplifying the equation. The equation would work perfectly well without simplification.

_____

1. Given points (2, 50) and (3, 250), the equation is ...

  f(x) = 50(250/50)^((x -2)/(3 -2)) = 50·5^(x -2) = (50/25)5^x

  f(x) = 2·5^x . . . b = 5; a = 2

__

2. Given points (1, 3) and (2, 9/2), the equation is ...

  f(x) = (3)(3/(9/2))^((x -1)/(2 -1)) = (3)(2/3)^(x -1) = (3/(2/3))(2/3)^x

  f(x) = (9/2)(2/3)^x . . . b = 2/3; a = 9/2

__

3. Given points (3, 32) and (4, 128), the equation is ...

  f(x) = (32)(128/32)^((x -3)/(4 -3)) = (32)4^(x -3) = (32/64)4^x

  f(x) = (1/2)4^x . . . b = 4; a = 1/2

_____

Additional comments

The usual rules of exponents are useful in this:

  a^(b+c) = (a^b)(a^c)

  a^(bc) = (a^b)^c

  a^-b = 1/a^b

Answer:

Area = Length * Width

38 1/4 = L * 4 1/2

L = (38 1/4)/(4 1/2) = (153/4)/(9/2) = (153 * 2)/(4 * 9) = 17 1/2

Step-by-step explanation:

The correct answer is D

since 3.2222... is a repeating number, it is rational

0.112123123412345 is not repeating and doesn't have a cosistent pattern, so it isn't rational

1.589 is rational because this decimal stops and doesn't continue- it can also be written as a fraction ( [tex]\frac{1589}{1000}[/tex] )

H = 20

VALUE OF H IS 20

WHEN YOU ADD 20 AND 20 IT WILL GIVE 40

The value of h using concept of missing angles is: h = 55

We know that the sum of angles on a straight line is 180 degrees.

Thus, the remaining two internal angles of the triangle are:

180 - 2h and 180 - 2h

We also know that the sum of angles in a triangle is 180 degrees. Thus:

180 - 2h + 180 - 2h + 40 = 180

400 - 4h = 180

4h = 400 - 180

4h = 220

h = 220/4

h = 55

Read more about missing angles at: https://brainly.com/question/28969239

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Step-by-step explanation:

Given

( - 5, -5) and ( 3 , 7)

Slope (m)

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

= ( 7 + 5) / (3 +5)

= 12/8

= 3/2

Answer:

The slope is 1.5

Step-by-step explanation:

7 + 5/3+5 = 1.5

Answer:

its 1,3,4,5

Step-by-step explanation:

took the test

Answer:

1

3

4

5

Step-by-step explanation:

I took the test, and just got it correct!

Answer:

240

19 times 4=76

20 times 4=80

21 times 4=84

Answer:240

Step-by-step explanation:

Answer:

x = 9 and 12

Step-by-step explanation:

6/8 = x/12 = x/16

Simplify

3/4 = x/12 = x/16

Multiply 3/4 by 3/3 (does nothing but changes the number)

9/12 = x/12

x = 9

Multiply 3/4 by 4/4 ( also does nothing)

12/16 = x/16

x = 12

There is no values of X that will make the expression correct

Answer:

ahhhhhhhhhh

Step-by-step explanation:

Answer: 5 m

Step-by-step explanation:

height x base = area

4x=20

x=20÷4

x=5

base= 5m

Answer:

He will make 504 dollars

Answer:

$504

Step-by-step explanation:

14 has to be multiplied by 36 and it give you the answer of $504

Answer:

A system of

equations with infinitely many solutions would be represented on a graph

by parallel lines.

True

or

False

It would be True

Step-by-step explanation:

Answer:10

Step-by-step explanation:

if a song costs $1.50 and a video is 2 times that amount of a song, then the video would cost $3. you have a balance of $60. you by 15 videos to start. i multiplied $3 by 15 to get the cost of the movies, witch is $45. after i got the cost of the movies i subtracted the $45 from the over all amount, i got 15. now to the songs. i have $15 to get music. 2 songs costs $3( 1.50+1.50= 3.00). 4 songs would cost $6. 8 songs would cost $12. after that i just added 1.50 until i hit a total of 15. so you can get 10 songs for $15

After buying 15 videos, you can purchase 10 songs with your $60 credit. Each video costs $3.00 and each song $1.50. After buying the 15 videos for $45, you have $15 left for songs.

The subject matter of this question falls under Mathematics, specifically operations involving money and elementary algebra. This kind of problem is typically encountered by middle school students, hence the grade level.

In order to answer the question, here's a step by step solution: First, we need to know the cost of downloading a video. Since each download of a video costs 2 times as much as the song download, and the song download costs $1.50, then the video download costs 2 * $1.50 = $3.00. If you plan to buy 15 videos, the total cost would be 15 videos * $3.00/video = $45.00.

Subtracting this amount from your $60 credit, you'll have $60 - $45 = $15 left. Given that the cost of a song download is $1.50, you can therefore purchase $15 / $1.50/song = 10 songs.

So, after buying 15 videos, you can still purchase 10 songs with your $60 credit.

https://brainly.com/question/30478565

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Answer:

All of the zeros would be 2, -1 and 4

Step-by-step explanation:

When you set each of the factors equal to zero solve for x. The only one you can't is 3 because [tex]3\neq 0\\[/tex]

Final answer:

The zeroes of the function y = 3(x-2)(x+1)(x-4) are x = 2, x = -1, and x = 4.

Explanation:

The question asks to find all the zeros of the function y = 3(x-2)(x+1)(x-4). A zero of the function is a value of x that makes the function equal to zero. To determine these values, set the function equal to zero and solve for x:

0 = 3(x-2)(x+1)(x-4)

This equation is true when x equals 2, -1, or 4, since any of those values would make at least one of the factors equal to zero, which in turn makes the entire product zero. Therefore, the zeros of the function are x = 2, x = -1, and x = 4.

Answer:

4 rolls

Step-by-step explanation:

Answer:

I saw some comment it was 4/ d

Step-by-step explanation:

Answer:

D) 160

Step-by-step explanation:

20% × n = 32

20 /100 × n = 32

Multiplying both sides by 100 and dividing both sides by 20,

n = 32 ×  100 /20

n = 160

Answer:

D, 160

Step-by-step explanation:

Hello!

To find the answer to this question, we have can represent any number as "n."

Since 20% is the same as [tex]\frac{20}{100}[/tex], we have:

[tex]\frac{20}{100}[/tex] * n = 32

Now we multiply both sides by 100 to get rid of the fraction:

20n = 3200

And divide both sides by 20:

n = 160.

Thus, the answer is [tex]\boxed{160{\text{\:or\:D.}}}[/tex]

Hope this helps!

Answer:

Pastel and faster than

Step-by-step explanation:

The Patel family’s car had the greater initial resale value. During the first six years, the resale value of the Rivera family’s car decreases at an average rate faster than the resale value of the Patel family’s car.

Patel

faster than

Answer:

x=3

Step-by-step explanation:

6(4x+1) = 78

Distribute

24x+6 = 78

Subtract 6 from each side

24x +6-6 =78-6

24x = 72

Divide each side by 24

24x/24 = 72/24

x =3

Answer:

x = 3

Step-by-step explanation:

6 (4x + 1) = 78

4x + 1 = 78 ÷ 6

4x + 1 = 13

4x = 13 - 1

4x = 12

x = 3

its d, I just solved it...

Answer:

(x - 5) (x + 1)

Step-by-step explanation:

Given

x² - 4x - 5

= x² - ( 5 - 1)x - 5

= x² - 5x + x - 5

= x( x - 5) + 1 ( x - 5)

= ( x - 5) ( x + 1)

Hope it will help you :)

Answer:

7/3

Step-by-step explanation:

fb - fa / b - a

which is b=3,a=0

so the right answer is (x+4) and (x-1).

Look at the attached picture⤴

Hope it will help u...

Answer:

They all have the same mean of 5

Step-by-step explanation:

first add up all the numbers in each data set separately and then divide by the total number (12) to find the mean  for example

Elena: 4+5+1+6+9+7+2+8+8+3+3+5+7= 60

60 divided by 12 equals 5

all three have the same mean of 5

7: The statement that is best supported by the information given is option D

14: The option that is applicable to writing a check AND using a credit card is A

16: Based off of the graph, the surgeon would make $3,467,700 (C)

Answer:

y= -1\2x-4

Step-by-step explanation:

y=mx+c

perpinicular means you flip the slop and change the sign so the slope(m) become -1\2

y=-1\2x+c

since he gives you (8,-8) meaning x=8 and y= -8

we substitute

-8=(-1\2 x 8) +c

now we isolate c

-8+4=c

c=-4

the equation will be

y= -1\2x-4

Answer:

Step-by-step explanation:

Y*1/x

y=k/x where k is the constant of variation

when y=5, x=3

5=k/3

k=5x3=15

k=15

given x=6

y=15/6

y=5/2

note * is used as symbol for varies

Answer:

Step-by-step explanation:

sub 3x+20 into x²+2x

3x+20=x²+2x

x²-x-20

=(x-5)(x+4)

x=5,-4

Plus x values into y=3x+20

When x=5

y=33

When x=-4

y=8

when x=5 y=33

and when x=-4 y=8

Hope it helps!!