During training, a hurdler wants to raise the height of the hurdles from the high school standard of 39 inches to the NCAA standard of 42 inches. His best race form last season included a clear over 39-inch hurdle that was modeled by h(t)= -0.025t(t-25), where t is time (in tenths of a second) after his lead leg left the track and h is the height (IN FEET)

a) Sketch the graph. Label the axes.

b) If he runs as well as his best race last year, will this hurdler clear the new height? Why or Why not?

Answer:

It's the same

Step-by-step explanation:

Cause im smart

Present age of the Victor as per given condition of the equation formed is equals to [tex]30[/tex] years.

" Equation is defined as the relation between the variables and numbers using the sign of equality."

According to the question,

[tex]'x'[/tex] represents the present age of the Victor

[tex]'x+10'[/tex]  represents the age of the Victor 10 years now

[tex]'x-10'[/tex] represents the age of the Victor 10 years ago

As per condition given equation  we get,

[tex]x-10 = \frac{1}{2} (x+10)[/tex]

Simplify the equation to get the present age ,

[tex]2(x-10) = x+10\\ \\\implies 2x-20 = x+10\\\\\implies 2x-x = 20 +10\\\\\implies x =30[/tex]

Hence, present age of the Victor as per given condition of the equation formed is equals to [tex]30[/tex] years.

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Answer: 96•(1/4)^n-1

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

When using substitution to solve systems of equations that have no solution or indefinitely many solutions, the variable terms are the same on both sides. How is the solution determined by the constants in the equations?

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Answer:

21

Step-by-step explanation:

Answer:

yesZ?

Step-by-step explanation:

Answer: Yes the table above is indeed linear

Step-by-step explanation:

Just trust

Answer:

21 ounces

Step-by-step explanation:

2 pounds→ convert to ounces= 32

32 ounces+ 3 ounces= 35

56 ounces-35 ounces= 21 ounces

Answer:

21 ounces

Step-by-step explanation:

1 pound=16 ounces

16 x 2=32

32+3=35

56-35=21

Answer:

the price paid is  £288,000

Step-by-step explanation:

The computation of the price paid is shown below:

Sale of the another house is £283,392

Since the another house would be 1.6% less than the price paid

So, the price paid would be

=  £283,392 × 100 ÷ (100 - 1.6%)

=  £283,392 × 100 ÷ 98.4

=  £288,000

Hence, the price paid is  £288,000

Answer:

43.0825

Step-by-step explanation:

I don't know if the tax is percentage or just adding

Answer:

C

Step-by-step explanation:

108/(108-72) = 108/36 = 3

60/3 = 20

Answer:0.375

Step-by-step explanation:

What is the dividend? the question

Answer:

$15.75

Step-by-step explanation:

Answer:

y=23x-8

Step-by-step explanation:

Use the formula y=mx+b

y-intercept is b which is -8

the slope is m which is in this case 23

Easy peasy!

Answer:

The answer is 256 :)

Step-by-step explanation:

You multiply the volume by 64

Answer:

11

Step-by-step explanation:

55/5 equals 11

Answer:

11

Step-by-step explanation:

55 divided by 5 equals 11

Answer:

?

Step-by-step explanation:

54,675+33,548,000x^1+a^2=

get rid of ^1 cuz that doesn't change the value

a^2 can be written as 2a because a^2= a*a and 2a= a*a

54,675+33,548,000x+2a

54,675+33,548,000x= -2a-54675

33,548,000x=-2a-54675

16774000x=-a-27337.5

x=-a - 27337.5

x=-a-27337.5/ 16774000

I obviously know this isn't a real question but here

Answer:

Step-by-step explanation:hey Karlie

Answer:

The points at which the graph crosses or touches x- axis, give the real roots of the function (or zeros of the function) represented by the graph. If the graph touches x-axis and turns back, then it would be a double root at that point.

Step-by-step explanation:

I HOPE THIS HELPS* :)

Answer:

5/2 is the slope

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The rule for slope is rise/run. So you will rise from the point on (0, -3), all the way until you reach the same line as the other point, which is rising up 4. And then you would run to the point which is 2. rise/run = 4/2, therefore you divide to get 2. I hope this helps :)

Answer:

Nope but I hope you find one soon. -Your friend, Bill Cipher

Step-by-step explanation:

Answer:

I do!! My user is;  AngelCookiesSmiles. c:

Step-by-step explanation:

Just get a brain

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Jksjsisisisjsjjsjdjdjdjd

Answer:

The answer is "[tex]\bold{668 + 7x > 2,000}[/tex]"

Step-by-step explanation:

7x = x is the cans obtained within 7 days 668 is the number of cans that are already obtained. Its number for goal cans is 2000. So, the equation is:

[tex]\to 7 x + 668 < 2000[/tex]

subtract and add the value 668:

         [tex]- 668 \ \ \ \ \ -668[/tex]

[tex]\to 7x +0 < 1332[/tex]

Divide the value 7:

    [tex]7 \ \ \ \ \ \ 7[/tex]

[tex]\to x < 190.30 \\\\OR\\\\\to x < 190\\\\[/tex]

Answer:

Slope: −10

y-intercept: (0,60)

Equation: y = −10x + 60

Step-by-step explanation:

Find the equation using point-slope formula.

Use the slope-intercept form to find the slope and y-intercept.

Answer:

A= y−2B/2

​

Step-by-step explanation:

Its in a fraction form

Answer:

Hey! so the answer is N=2

Step-by-step explanation:

Add 12 to both sides of the equation

Simplify

Add 3 to both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Solution

=2

Hoped this helped Im Eve btw. Hope you have a great day and consider marking this brainliest Thank you so much if you do! ✨

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Decrease rate (d)= 7%

Number of periods (n)= 7 years

Current population (PV)= 48,000

First, to calculate the future value, we need to use the following decrease exponential formula:

FV= PV*[(1+d)^-n]

After 7 years:

FV= 48,000*(1.07^-7)

FV= 29,892

The fish population after 7 years is 38783

An exponential decay is in the form:

y = abˣ;

where y, x are variables, a is the initial value of y and b is < 1

Let y represent the fish population after x years.

Since there is initially 48000 fish, hence a = 48000. Also it decrease at a rate of 3% per year. Hence b = 100% - 3% = 97% = 0.97

Therefore:

y = 48000(0.97)ˣ

After 7 years:

y = 48000(0.97)⁷ = 38783

Therefore the fish population after 7 years is 38783

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Answer:

x = -3

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

The first step is getting the denominators equal

We can do this by multiplying the left side by 2/2 and the right side by 3/3 to get

[tex]\frac{2(12+6x)}{6}=\frac{3(5-9)}{6}[/tex]

The fractions cancel out and we're left with

2(12+6x)=3(5-9)

from here you just need to simplify and solve for x

24+12x= -12

12x= -36

x= -3

Answer:

22.5

Step-by-step explanation:

The area of the polygon ABCD is 3/2 square units.

"It is two dimensional geometric figure having finite sides and vertices." A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

we know that,

formula to find the area of the polygon:

"If polygon having vertices (x1, y1), ....(xn,yn) then the area of the polygon is,

A = 1/2 * | (x1y2 - x2y1) + ( x2y3 - x3y2) + .....+ (xny1 - ynx1)

This formula is also known as shoelace formula."

For given example,

the polygon  has vertices T(−3,1), S(−5,−4), A(−8,1), and N(−4,5)

Consider given vertices of polygon as,

(x1, y1) = (−3,1)

(x2, y2)=(−5,−4)

(x3, y3)=(−8,1)

(x4, y4)=(−4,5)

Using the formula of area of the polygon the area of the polygon ABCD would be,

A = 1/2 * | (x1y2 - x2y1) + ( x2y3 - x3y2) + .....+ (x4y1 - y4x1)

so, solving we get,

A = 1/2 | 17 + 27 - 36 -11|

A = 3/2

Therefore, the area of the polygon ABCD is 3/2 square units.

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Step-by-step explanation:

this question is wrong

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