Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16t^2+96t gives the height, in feet, of the soccer ball after t seconds. The function is shown in the graph below. What are the intercepts of the function and what do they mean?

Step-by-step explanation:

8(m + 2)= 16

8m + 16 = 16

8m = 0

m = 0

Given:

In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84.

To find:

The cosecant of ∠P.

Solution:

In a right angle triangle,

[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Perpendicular}[/tex]

It is also written as:

[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Opposite}[/tex]

In triangle PQR, QP is the hypotenuse because ∠R=90°.

[tex]\text{cosec}P =\dfrac{QP}{RQ}[/tex]

[tex]\text{cosec}P =\dfrac{85}{13}[/tex]

Therefore, the required trigonometric ratio is [tex]\text{cosec}P =\dfrac{85}{13}[/tex].

Answer: X = 2

Step-by-step explanation:

Step 1: Simplify both sides of the equation!

Step 2: Subtract 4x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 2/(-7).

Answer:

<15

Step-by-step explanation:

Answer:

x= -14

Step-by-step explanation:

Answer: B

Step-by-step explanation:

An individual's effective tax rate is the average tax rate.

Answer:

85 i thinkkkk

Step-by-step explanation:

Answer:

0.33333

Step-by-step explanation:

[tex] \huge \red {\frac{1}{3}} \orange {=} \purple {0.33333} [/tex]

Hope it helps you in your learning process

Answer:

gradient m = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

y = - x - 3 ← is in slope- intercept form

with gradient m = - 1

Answer:

[tex]\rm Slope = -1[/tex]

Step-by-step explanation:

Given :-

And we need to find out the gradient of the line. The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,

Slope intercept form :-

[tex]\rm\implies y = mx + c [/tex]

[tex]\implies \rm Slope (m) = (-1)[/tex]

Hence the gradient of the line is (-1) .

Answer: just multiply the same sides that same number and that add the answers all together

Step-by-step explanation:

Answer:

B) between 8 and 24 hours per week

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 16, standard deviation of 4.

Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.

Within 2 standard deviations of the mean, so:

16 - 4*2 = 16 - 8 = 8 hours per week.

16 + 4*2 = 16 + 8 = 24 hours per week.

This means that the correcgt answer is given by option B.

Answer:

Clint would have to run 127 yards next game to average the same number of yards as Jack.

Step-by-step explanation:

First, we find the boys' averages by adding all their yards and then dividing by the number of games.

For Jack, we get 490 yards in total, which we divide by 5, the number of games. We get a 98 yard average.

For Clint, we get 461 yards in total, which we divide by 5, the number of games. We get a 92.2 yard average.

We know Clint wants to average 98 yards at the end of the next game. That would make 6 games total. We can multiply 98 x 6 to get the total number of yards for a 98 yard average in 6 games. We get 588 yards in total. Clint already ran 461 yards in total, so we can subtract that from 588. We have 127 yards left. We now know that Clint needs to run 127 yards in the next game for a 98 yard average.

The number of yards that client needs to run in his next game to average the same number of yards as jack will be 127.

The mean is the average of a data set. Mean gives us an idea of that how small the amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Mean = sum of data / Number of data

The average of Jack = (123 + 87 + 108 + 80 + 92)/5 = 98

The average of Clint = (88 + 101 + 96 + 92 + 84)/5 = 92.2

To make this average 98 let's say Clint's score in the next game is x.

Mean = (88 + 101 + 96 + 92 + 84 + x)/6 = 98

(92.2 x 5 + x) = 98 x 6

x = 127

Hence"Clint needed to add 127 to be mean as same as Jack".

For more about the mean,

https://brainly.com/question/17060266

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Step-by-step explanation:

A = Pi x r^2

r=4_____________

Answer:

50.26548

50.27 Rounded to the hundredths place .

Answer:

The answer is 0.390625

Answer:

Step-by-step explanation:

x^1/3( x^1/2 + 2x^2)

x^(1/2 + 1/3) + 2x^(2 + 1/3)

x^(5/6) + 2x^(7/3)

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

-30x+147= -171-24x

+24x                +24x

-6x+147= -171

     -147   -147

       -6x= -318

           x=53

Hope this helps!

Answer:

A and C

Step-by-step explanation:

Edge 2021

The partial sums are correct are Option A and Option C. That is:  (2) and (28/9).

A partial sum (simply put) refers to the sum of the various parts that make up a sequence.

For example, in the above sequence given as:
2 + (2/3) + (4/9) + (8/27) + (16/81) + (32/243) + ...

A partial sum would be:

2 + (2/3).

In this case, thus,

Learn more about partial sums at:
https://brainly.com/question/17464148
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Answer:

Diameter = 8 ft

Step-by-step explanation:

To find diameter, we need to work backwards from the formula for circumference of a circle.

Circumference = 2πr

given that π = 3.14

Circumference = 2*3.14*r

25.12 = 2*3.14*r

25.12 = 6.28 * r

4 = r

Radius = 4

Formula for Diameter =

D = 2r

D = 2*4

D = 8

Diameter = 8

Lets Check

Circumference = 2 * 3.14 * 4

Circumference = 25.12

Correct

If my answer is incorrect, pls correct me!

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-Chetan K

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

Rectangular prism Volume

5*5*6.3

157.5

Right triangle prism Volume

(3*5*6.3) / 2

94.5 / 2

47.25

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

204.8 cm^3 = Total Volume

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

So, within each of these right trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

216.8 cm^2 = Total Surface Area

Answer:

It is an arithmetic sequence and the common difference is 5

Step-by-step explanation:

4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)

Answer:

Step-by-step explanation:

Answer:

11/12, 5/7, 1,8, 1/4, 1/2

Step-by-step explanation:

Answer:

1,236.33

Step-by-step explanation:

Answer:1,236.33

Step-by-step explanation:

Answer: 52 and 793.25

Step-by-step explanation:

Answer:

1: 52

2: 105.80

Step-by-step explanation: