9. 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 from last season included a clear over a 39-inch hurdle that was modeled by
h(t) = (-0.0251)(1-25), where t is time (in tenths of a second) after his lead leg left the track and h is the height (in feet).
If he runs as well as his best race last year, will this hurdler clear the new height? Why or why not

Answer:

[tex]y=-(x-2)^2-3[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The graph provided in the question has two clear points:

The vertex, located at (2,-3)

The y-intercept, located at (0,-7)

Substituting the coordinates of the vertex, the equation of the function is:

[tex]y=a(x-2)^2-3[/tex]

The value of a will be determined by using the other point:

[tex]-7=a(0-2)^2-3[/tex]

Operating:

[tex]-7=a(4)-3[/tex]

[tex]4a=-4\Rightarrow a=-4/4[/tex]

Solving:

a=-1

The equation of the graph is:

[tex]y=-(x-2)^2-3[/tex]

Answer:

=(1,3)

Step-by-step explanation:

this is the ans mark me as the brainliest

Answer:

54 degrees

Step-by-step explanation:

4y-7=2y+11

2y=18

y=9

4(9)-7=25

2(9)+11=29

25+29=54

Step-by-step explanation:

Kx = u - y

Divide both sides by k

X = u - y

K

I think that's the answer

Hope it helps:)

Answer:

area=[(a+b)/2]*h

Step-by-step explanation:

a= longer base length

b= shorter base length

h= height of trapezoid

Answer:

Yes

Step-by-step explanation:

A number that can be made by dividing two integers (an integer is a number with no fractional part). The word comes from "ratio". Examples: • 1/2 is a rational number (1 divided by 2, or the ratio of 1 to 2)

-4.8 can be written as a fraction

Hope this helps!

-Jerc

Answer:

Yes!

Step-by-step explanation:

Rational numbers are any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions.

-4.8 is a terminating decimal, and thus, is a rational number!

Hope this helped you! If you liked my answer, please rate it and a Thanks would be nice, too!

Have a wonderful day!

had told

we use past perfect tense for wishes

for more dowload grammerly and check

Answer:

Select the plain line in the Insert Shapes group. Place your cursor where you want a tick mark on your line, hold the "Shift" key, and drag to create a vertical mark. Holding the Shift key ensures a straight line.

Step-by-step explanation:

Answer:

789x86=8u

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

a) Let negative means the turtle position when descending and positive for going up. Therefore since the turtle was 850 meters below see level, it was at -850. It then moves 165 meters up, hence its new position is -685 meters (-850 + 165). Lastly it moves down 165 meters, hence its new position is -850 meters (-685 - 165)

b) The change in position is the sum of the movements = +165 - 165 = 0 meters.

Answer:

15 boys

Step-by-step explanation:

There are 27 students. The number of girls is only 4/5 of the number of boys. I started by splitting the class. 14 boys and 13 girls doesn't work, so I changed it to 12 and 15. If it was 12 girls and 15 boys, the girls would have 4/5 of the boys, so it must be 12 girls and 15 boys.

Answer:

[tex]\frac{16529}{500}[/tex]

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over  1000 . Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

Answer:

hmmmmmmmm

Step-by-step explanation:

yea i really dont know

Answer:

$6.56

Step-by-step explanation:

First, take 8 and divide it by 100. Then you have 0.08. multiply that by 9. You get 0.72, that is how much the price increases every year. multiply that by 2, and you get 1.44. subtract 1.44 from 8, and you are left with $6.56, the price it was two years ago.

Answer:

1215

Step-by-step explanation:

Answer:

the answer is 1215 :D

Step-by-step explanation:

Answer:

it is a Rational number

Answer:

Rational

Step-by-step explanation:

Any number that can be written in fraction form is a rational number.

9.94 can be converted to [tex]9\frac{47}{50}[/tex]

Answer:

300 divided by 6

Step-by-step explanation:

Given that;

Number of crates of apple owned by fruit seller  = 3 crates

Number of apples in each crate  = 100 apples

He packed 6 apples in 1 box;

Unknown:

Number of boxes needed to pack all the apples = ?

This problem is pretty straight forward;

  Number boxes needed to pack all apples  = [tex]\frac{Number of crates owned by fruit seller x number of apples per crate}{Number of apples per box}[/tex]

Input the parameters and solve;

       Number of boxes need to pack all apples  = [tex]\frac{100 x 3}{6}[/tex]   = [tex]\frac{300}{6}[/tex]

So the solution is 300 divided by 6

Answer:

A hope this helps

Step-by-step explanation:

Answer:

A...

Step-by-step explanation:

hope this helps you

Answer:

61,56

Step-by-step explanation:

1 = 3,24 so 3,24 x 19 = 61,56

Answer:

[46.6]

Step-by-step explanation:

Absolute value has no negatives.

Option B is correct.

We have the two equations -

[tex]y= 2x^{2}[/tex]

[tex]y=2x^{2} +7[/tex]

We have determine how are these functions related and how are their graphs related.

A parabola is represented by the equation y = [tex]$x^{2}[/tex].

According to the question, we have -

[tex]y= f(x) = 2x^{2}[/tex]

[tex]y=g(x)=2x^{2} +7[/tex]

Refer to the image attached for graphs.

Now -

g(x) - f(x) = [tex]2x^{2} +7-2x^{2}[/tex] = 7

Therefore -  Each output for y = g(x) is greater than the corresponding output of y = f(x).

From the graph it is clear that the graph of y = g(x) is the graph of

y = f(x) translated up 7 units.

Hence, Option B is correct.

To solve more questions on functions and graphs, visit the link below -

https://brainly.com/question/2364381

#SPJ2

Answer:

y-5 = 2 (x + 8 )

simplified : y=2x+21

Step-by-step explanation:

We're given

P(has disease) = 0.001

P(positive test | has disease) = 0.95

P(negative test | does not have disease) = 0.90

(a) By the law of total probability,

P(positive test) = P(positive test AND has disease) + P(positive test AND does not have disease)

Recall that the probability of an event A conditioned on another event B is

P(A | B) = P(A AND B) / P(B)

so that

P(positive test) = P(positive test | has disease) * P(has disease) + P(positive test | does not have disease) * P(does not have disease)

P(positive test) = 0.95 * 0.001 + (1 - 0.90) * (1 - 0.001)

P(positive test) ≈ 0.10

(b) From the definition of conditional probability, we hvae

P(A | B) = P(A AND B) / P(B) = P(B | A) P(A) / P(B)

so that

P(has disease | positive test) = P(positive test | has disease) * P(has disease) / P(positive test)

P(has disease | positive test) = 0.95 * 0.001 / 0.10

P(has disease | positive test) ≈ 0.0094

The probability will be "0.017699".

Given:

Incident rate,

                   [tex]= 0.999[/tex]

Now,

→ [tex]P(\frac{N}{D'} ) = 1-P(\frac{N'}{D'} )[/tex]

             [tex]= 1-0.95[/tex]

             [tex]= 0.05[/tex]

then,

→ [tex]P(\frac{D}{N} ) = \frac{Pr(D)\times P(\frac{N}{D} )}{P(N)}[/tex]

or,

            [tex]= \frac{Pr(D)\times P(\frac{N}{D} )}{P(D) \ P(\frac{N}{D} )+P(D') \ P(\frac{N}{D'} )}[/tex]

By substituting the above values, we get

            [tex]= \frac{0.001\times 0.9}{0.001\times 0.9+0.999\times 0.05}[/tex]    

            [tex]= \frac{0.0009}{0.0009+0.04995}[/tex]

            [tex]= \frac{0.0009}{0.05085}[/tex]

            [tex]= 0.017699[/tex]

Learn more:

https://brainly.com/question/16972053

Answer:

x = 8

Step-by-step explanation:

Given

3(x + 1) + 6 = 33 ( subtract 6 from both sides )

3(x + 1) = 27 ( divide both sides by 3 )

x + 1 = 9 ( subtract 1 from both sides )

x = 8

Answer:

OK lets do it

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the time taken to get back be x

so that the time needed to go is (x-2)

we know that speed= distance/time

therefore the speed for the return is 24 km/h.

distance (return)= 24*x

distance (return)=24x

therefore the speed to the station is 40 km/h.

distance (return)= 40*(x-2)

distance (return)=40x-80

We know that the distance is the same

24x=40x-80

24x-40x=-80

16x=80

divide both sides by 16

x=5

the time taken to get back is x=5hours

the time taken to is x-2=(5-2)= 3hours

the total trip takes 3+5= 8hours

Answer:1383478.4

Step-by-step explanation:The answer is 1383478.4 and i dont think it can be simplify