Use the image below to answer the following question.

An image shows a diver crouching on a diving board labeled 1. The diver launching off the board is labeled 2. The diver just about to enter the water is labeled 3 The diver in the water feet above water is labeled 4.

At which position does the diver have the most gravitational potential energy?

Answer:

y=4x+23

Step-by-step explanation:

sorry  cant choose answer choice ..i ant tell which is which...bu i think you should by now....

i hope this stilled helped

Answer:

a. Please find attached the required scatter plot

b. The minimum temperature in the data set is 67°F

c. The maximum temperature in the data set is 106°F

d. The vertical shift for the data set is 67°F

e. The amplitude 19.5 °F

f. The period is 12 months, the frequency = 1/12 months

h. The sine function equation that models the data set is 19.5·sin(π·t/6 - π/2) + 86.5

i. After the second and before the third month or after the ninth and before the 10th month

Step-by-step explanation:

The equation for the sinusoidal variation of temperature with time can be presented as follows;

y = A·sin(Bt + C) + D

Where;

A = The amplitude = (The Maximum value - The minimum value)/2

The amplitude = (106 - 67)/2 = 19.5°F

B = 2·π/(The period) = 2·π/12 = π/6

t = The time in months

C = The phase shift = -π/2

D = The midline = (The Maximum value + The minimum value)/2 = (106 + 67)/2 = 86.5 °F

The equation that models the data = 19.5·sin(π·t/6 - π/2) + 86.5

When the temperature is 82°, we have;

82 = 19.5·sin(π·t/6 - π/2) + 86.5

82 - 86.5 = 19.5·sin(π·t/6 - π/2)

-4.5°F = 19.5·sin(π·t/6 - π/2)

sin⁻¹(-4.5/12) = π·t/6 - π/2

-0.3844  = π·t/6 - π/2  

-0.2329 = π·t/6 - π/2  

t = 2.55 or 12 - 2.55 = 9.44

Which is either after the second and before the third month or after the ninth and before the 10th month.

In this exercise we have to use the function knowledge to calculate the temperature that is requested in each alternative, so we have to:

a. The answer is in the scatter plot  

b. The minimum is 67°F

c. The maximum is 106°F

d. The vertical shift is 67°F

e. The amplitude 19.5 °F

f. The frequency is 1/12 months and the period is 12.

h. The sine function equation that models the data set is [tex]19.5sin(\pi t/6 - \pi /2) + 86.5[/tex]

i. After the second and before the third month or after the ninth and before the 10th month

The equation for the sinusoidal variation of temperature with time can be presented as follows;

[tex]y = Asin(Bt + C) + D[/tex]

Where;

The equation that models the data is given by:

[tex]19.5sin(\pi t/6 - \pi/2) + 86.5[/tex]

When the temperature is 82°, we have;

[tex]82 = 19.5sin(\pi t/6 - \pi/2) + 86.5\\82 - 86.5 = 19.5sin(\pi t/6 - \pi/2)\\-4.5\°F = 19.5sin(\pi t/6 - \pi/2)\\sin^{-1}(-4.5/12) = \pi t/6 - \pi /2\\-0.3844 = \pi t/6 - \pi /2 \\-0.2329 = \pi t/6 - \pi /2\\t = 2.55 \ or \ 9.44[/tex]

Which is either after the second and before the third month or after the ninth and before the 10th month.

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Answer:

[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]

Step-by-step explanation:

[tex]2\frac{1}{4} - (-3 \frac{2}{5}[/tex][tex])[/tex]

However, -  × - equals +

[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]

Answer:

x = 1

Step-by-step explanation:

x^2 - 2x + 1 = 0

Factor

(x - 1)^2 = 0

x - 1 = 0

Add one to both sides.

x = 1

Answer:

2.5

Step-by-step explanation

:khan academy

Answer:

rx is 2.5. as the cop (constant of proportionality)

Answer:

12 is C and 14 is A

Step-by-step explanation:

Answer:

  5×10^-7

Step-by-step explanation:

The most significant digit (5) of the number 0.00000051 is in the 7th place to the right of the decimal point. The power of 10 associated with that decimal place is -7.

   0.00000051 m ≈ 5×10^-7 m

[tex]v + 8 < 3[/tex]

Subtract sides -8

[tex]v + 8 - 8 < 3 - 8[/tex]

[tex]v < - 5[/tex]

_________________________________

[tex]8v < - 40[/tex]

Divided sides by 8

[tex] \frac{8}{8}v < \frac{ - 40}{8} \\ [/tex]

[tex]v < - 5[/tex]

_________________________________

Done.... ♥️♥️♥️♥️♥️

The solution of the given inequality v +8 <3 or 8v <-40 is v < -5.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal.

Given the inequality,

v +8 < 3

Adding -8 on both sides

v + 8 - 8 < 3 - 8

v < -5

Or,

8v <-40

Divide 8 on both side

v < -5

Hence "The solution of the given inequality v +8 <3 or 8v <-40 is v < -5".

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Answer:

a =  [tex]\frac{v - u}{t}[/tex]

Step-by-step explanation:

v = u + at

u + at = v

     at = v - u

      a = [tex]\frac{v - u}{t}[/tex]

Answer:

12+8.3(g)=p

Step-by-step explanation:

#of gal of water x 8.3 per gal. number of gallons of water is not given so it is represented by g

+ weight of pail which is given, 12

= p , weight of full pail

Answer:

I think that the answer is C) or the last one

I think it's the second one

Answer:

5/16=x/64

Step-by-step explanation:

the x is 1280 that is the answer

Answer:

20 even though its not an answer option?

Step-by-step explanation:

It should be since 16x4=64   5x4=20

Answer:

Step-by-step explanation:

Teacher bought $21 worth of stickers and cardstock for his class.

Cost of stickers = $1.50 per sheet

Cost of 's' sheets = $1.5s

Cost of cardstock = $3.50 per pack

Cost of 'c' packs = $3.5c

Equation representing the relationship between sheet of stickers and packs of cardstocks will be,

1.5s + 3.5c = 21

3.5c = -1.5s + 21

1). [tex]c=-\frac{3}{7}x+6[/tex]

   y-intercept of the line → (0, 6)

   x-intercept of the line → (14, 0)

   Therefore, equation of the line represents the line on the graph.

2). Vertical intercept (0, 6) represents that he can purchase maximum 6 packs of cardstock with $21.

   Similarly, horizontal intercept (14, 0) represents that he can purchase maximum 14 sheets of stickers with $21.

Answer:

-3x+7<11

Step-by-step explanation:

I hope I helped you

The function has no intercepts.

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The x-intercept is the point on the x-axis when y= 0.

The y-intercept is the point on the y-axis when x= 0.

We see that,

There is no point on the x-axis or y-axis that the graph is touching.

So,

We can say that,

There are no x-intercepts and y-intercepts.

Thus,

The function has no intercepts.

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Answer:

72 units

Step-by-step explanation:

a cube has the same length as each edge so because there are 6 sides with 4 edges, and each edge has a length of 3 units, 3 units * 4 edges * 6 sides = 12 total edge length per side * 6 sides = 72 total edge length

Answer:

it will take 6 hours, or at least im pretty sure it will

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

I looked it up

Answer:

C=7(p)

Step-by-step explanation:

Answer:

c=7p

p=pounds

c=costs

Answer:

D. 48

Step-by-step explanation:

y=10x-2 is our equation

If x is 5, then multiply 10 by 5. You get 50.

Subtract 2 from that. You get 48.

Answer:

D, 48

Step-by-step explanation:

Given x=5, plug x into y=10x-2

First you should plug the given x into the x in the equation. And put () around it.

y=10(5)-2

Now you multiply 10 by 5 and you get 50.

y=50-2

Now the last step is to subtract 2 from 50 which you will end up getting y=48. So the answer is y=48 which is letter D.

y=48

Answer:

No

Step-by-step explanation:

If the x value does not repeat than it's a funtction so therefore so therefore it t's not a function cause the variable of repeats

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

For this situation we have the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], where each variable represents a coordinate (e.g. in this case 4 could be [tex]y_{1}[/tex]). So first, let's define which coordinates will be the values of these variables:

(3,4): [tex]x_{1}, y_{1}[/tex]

(5,9): [tex]x_{2}, y_{2}[/tex]

Now we need to replace each variable with its given value: [tex]m = \frac{9-4}{5-3}[/tex]

And then do the subtraction to simplify: [tex]m=\frac{5}{2}[/tex]

Therefore, the slope of the line that passes through the points (3,4) and (5,9) is [tex]\frac{5}{2}[/tex].

Answer:

here man let me is 1 im sure the answer is =((1))

Step-by-step explanation:

6^(-3 * 10^(-10 * 27 * 25 / 5^(-8 * 3^(4 * 2^-3))))

Answer:

Step-by-step explanation:

Using slope formula and solving for y

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

Answer:

y = 2

Step-by-step explanation:

Using slope formula and solving for y

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

-2/7 = (4 - y)/(3 - 10)

-2/7 = (4 - y)/-7

2 = 4 - y

y = 4 - 2

y = 2

Answer:I think it’s b

Step-by-step explanation:

Answer:

an inverse function (or anti-function) is a function that "reverses" another function

Step-by-step explanation:

Answer:

an inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g = x.

Answer:  28

Step-by-step explanation:

Let x represent the digit in the tens place and y represent the digit in the ones place.     xy → 10x + y

The square of the sum of the digits is 100.

EQ1: (x + y)² = 100       →    x + y = 10

2 is subtracted from 3 times the number is the digits reversed.

EQ2: 3(10x + y) - 2 = 10y + x    →   30x + 3y - 2 = 10y + x      →     29x - 7y = 2

Solve the system of equations using the Elimination method:

EQ1:      x +  y = 10    →  7(x + y = 10)     →      7x + 7y = 70

EQ2: 29x - 7y = 2     →  1(29x - 7y = 2  →   29x - 7y =  2    

                                                                    36x        = 72

                                                                 ÷36         ÷36  

                                                                            x = 2

Substitute x = 2 into either of the equations to solve for y.:

EQ1: x + y = 10

       2 + y = 10

            y = 8

The digit is: 28

Answer:

x=12

Step-by-step explanation:

first remove the four by multiplying it and then cancel out the 12 as well to get 12 as an answer. double check by replacing x with 12 and see if it equals 6.