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3) A diver springs up off of a diving board at an initial velocity of 24 ft/sec. The diving board is 30 feet above the water. The function that models the diver's height is: h(t) = -16t^2 + 24t + 30.

a) Find how long it takes for the diver to reach maximum height. Why can't we double this time to find how long the diver is in the air before hitting the water?

b) Determine the maximum height of the diver.

c) How far is the diver from the water after 2 seconds?

Answer:

I think it´s 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

because 15% (or 0.15) times 80 equals 12.

Answer:

24% yes yes yes

Answer:

24% or [tex]\frac{6}{25}[/tex]=24%

Step-by-step explanation:

We know that

[tex]\frac{6}{25}[/tex]

Is the same as

6÷25

Then, using long division gives us

0.24

Lastly, multiplying 0.24 by 100 gives us

24

Now add the percent sign

24%

Answer:

Area of triangle = 20 square yards

Step-by-step explanation:

The height of triangle = 5 yd

The base of triangle = 8 yd

We need to find area of triangle.

The formula used is: [tex]Area\: of\: triangle=\frac{1}{2}\times base \times height[/tex]

Putting values and finding area

[tex]Area\: of\: triangle=\frac{1}{2}\times base \times height\\Area\: of\: triangle=\frac{1}{2}\times 8 \times 5\\Area\: of\: triangle=4 \times 5\\Area\: of\: triangle=20\:square\:yards[/tex]

So, Area of triangle = 20 square yards

Answer:

f(11) = 9

Step-by-step explanation:

f(x) = 1/4(5-x)^2

f(x) = 1/4 (5-11) ^2

f(11) = 1.25 - 2.75 ^2

f(11) = 9

Answer:

The numbers are 1/10 & 11/10

Answer:

yes means yes

Step-by-step explanation:

The value of x is 20.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Sin 30 = 10 / x ______(10

We know that,

Sin 30 = 1/2 _____(2)

So,

Substituting (2) in (1).

1/2 = 10/x

x = 10 x 2

x = 20

Thus,

The value of x is 20.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

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Answer:

60

Step-by-step explanation:

The answer of this question is 60 degree

Answer:

[tex]\mathrm{Best\:course\:grade\:possible:\:}87.25\%,\\\mathrm{Minimum\:score\:on\:final\:to\:earn\:at\:least\:a\:75\%\:for\:the\:course:\:}51\%[/tex]

Step-by-step explanation:

Assuming the maximum score for the final is [tex]100\%[/tex], we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of [tex]100\%[/tex], their overall grade for the course would be:

[tex]83(1-0.25)+100(0.25)=\fbox{$87.25\%$}[/tex].

To find the minimum score they need to earn a 75% for the course, we set up the following equation:

[tex]83(1-0.25)+x(0.25)=75[/tex], where [tex]x[/tex] is the minimum score she needs.

Solving, we get:

[tex]62.25+x(0.25)=75,\\x(0.25)=12.75,\\x=\fbox{$51\%$}[/tex].

Answer:

i think it is b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Plz mark brainliest

Answer:

there are different intrest rates, depending on where it is. but im choosing 8400

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )

10x = 40 ( divide both sides by 10 )

x = 4

Answer: -m^4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-1 x -1 x -1 = 1

Answer:

D) y = 4x + 2

Step-by-step explanation:

Explanation:-

Given ( 0, 2) ( -1 , -2 )

Given in equalities     y = 4x + 2

    put point  (0,2)  in equation y = 4x +2

                                                 2 = 4(0) +2

                                                2 = 2

Therefore satisfies the point (0,2) equation   y = 4x +2

 put point  (-1,-2)  in equation y = 4x +2

                                               -2 = 4(-1)+2

                                              -2  = -2

Therefore satisfies the point (-1,-2) equation   y = 4x +2

Answer:

C

Step-by-step explanation:

Answer:

gave no examples.. this is what I got

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

a^2+b^2=c^2

24^2+7^2=c^2

576+49=625

then square

25=c

Answer:

x>-1

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

4(5x+2)=14x+32

20x+8 = 14x+32

20x-14x+8=14x-14x +32 (Both side +14x)

6x+8=32 (cancel 14x -14x)

6x+8-8=32 -8(both side -8)

6x=24 (both side divide 6)

6x/6=24/6

x=4

Answer:

34x+34

Step-by-step

20x+2=14x+32

20x+14x=2+32

34x+2+32

2+32=34

34x=34

Answer:1 black 4 white

Step-by-step explanation:

It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3

So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3

Answer:

4th one

Step-by-step explanation:

In geometry, a unit cube is a cube  whose each side is 1 unit long.

Answer:

4TH ONE

Step-by-step explanation:

Answer:

h(x) = [tex](x+5)^{2}[/tex] -18

Step-by-step explanation:

-b/2a is the formula to find the vertex's x coordinate.

-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer

Answer:

the answer would be A

Step-by-step explanation:

Answer:

A. 1,876 tissue holders

Step-by-step explanation:

Answer:

38 yards

Step-by-step explanation:

All you have to do is add up all that yardsgained and subtract the yards lost:

32-7+15-2=38

Answer:

38

Step-by-step explanation:

32-7=25

25+15=40

40-2=38

Answer:

1/3 for a.

2/3 for b.

[character limit pass]

Answer:

X/12

Step-by-step explanation:

X - whole drywall

X/4 -quarters

X/4/3=X/12 fraction of a whole sheet is each of these small pieces

Answer:

The probability is 0.017429

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD/√n

In this case;

x = 273

mean = 276

SD = √(variance) = √81 = 9

n = 40

Substituting these values into the z-score formula, we have that;

z = (273-276)/9/√40

z = -2.11

So we proceed to get the probability

the probability in this case is;

P( z < -2.11)

We can use the normal distribution table for this

Our answer will be

P( z < -2.11) = 0.017429

Answer:

x = 2

Step-by-step explanation:

7(3x + 5) - x = 75

1. Distributive property

multiply 7 by whatever is in the parenthesis

7*3x + 7*5 - x = 75

21x + 35 - x = 75

2. Combine like terms

21x - x = 20x

20x + 35 = 75

3. Subtract 35 on both sides

20x + 35 - 35 = 75 - 35

20x = 40

4. Divide both sides by 20 since u want to isolate the variable

20x/20 = 40/20

x = 2

And thats ur answer

Hope this helped!

Answer:

[tex]a=\sqrt{33}[/tex]

Step-by-step explanation:

When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in to find out what a could be but we won't actually solve it.

[tex]a^2+b^2=c^2\\a^2+4^2=7^2\\a^2+16=49\\a^2=33\\\sqrt{a^2}=\sqrt{33}\\a=\sqrt{33}[/tex]

So a would equal whatever the square root of 33 is.

Answer:

wouldnt it be d

Step-by-step explanation:

Answer:

3x16+8x8

Step-by-step explanation:

3 lots of 16  

+

8 lots of 8

Answer:

I know that 1 and 3 are correct.

Step-by-step explanation:

3x16+8x8

There are 8 childrens tickets, which each cost 8 dollars so you multiply those.

There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.

3x16+8²

8 squared is just 8x8.

There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.

Answer:

5) we get a=6

6) we get c=8

Step-by-step explanation:

The triangles given are similar.

When the triangles are similar, the ratio of corresponding sides are also similar.

5) If c = 12, find a

We will use the ratio

[tex]\frac{30}{12}=\frac{15}{a}[/tex]

Now cross multiply to find value of a

[tex]30*a=12*15\\a=\frac{180}{30}\\a=6\\[/tex]

So, we get a=6

6. If b = 6.4, find c

We will use the ratio

[tex]\frac{30}{c}=\frac{24}{6.4}[/tex]

Now cross multiply to find value of b

[tex]30*6.4=24*c\\c=\frac{192}{24}\\c=8\\[/tex]

So, we get c=8