spencer hits a tennis ball past his opponent. the height of the tennis ball in feet is modeled by the equation h(t)=-0.075t^2+0.6x+2.5 where t is the time since the tennis ball was hit meausured in seconds. how long does it take for the ball to reach its maximum height?

Option A is correct.

Cathy needs to collect linear data . She should collect the data of option A-The height of a building for 20 years.

Explanation:

Linear data is that data whose slope is always same. Here lets assume, initially the building had 2 floors. Each year 2 floors are added above the previous floors. So our coordinate will be (0,2) (1,4) (2,6) (3,8)  and so on.

So slope = [tex]\frac{difference in y}{difference in x}[/tex]

= [tex]\frac{4-2}{1-0} = \frac{2}{1}[/tex]

= [tex]\frac{8-6}{3-2}[/tex] = [tex]\frac{2}{1}[/tex]

So, here slope is 2 for all coordinates.

Multiply both sides by 7

1/7 r ×7 = 10 ×7

7r/7 = 70

r = 70

Multiply both sides by 7  

1/7 r ×7 = 10 ×7

1r  = 70

Divide by 1 on both sides (Side by Side need to divide)

r = 70

X/-3 -41 = -11

X/-3 = -11 +41

X/-3 = 30

X = 30×-3 = -90

To check

Put X = -90 in LHS

-90/-3 - 41

30 - 41

-11 = RHS

VERIFIED

If the expression represents the distance between -14.6 and -5.2 on the number line. The expression that represents the distance between -14.6 and -5.2 on the number line is 9.4.

What is distance?

Distance between these two points:

Distance = Larger value - Smaller value

Where:

Larger value = -5.2

Smaller value=  -14.6

So,

Distance = -5.2 - (-14.6)

Distance = -5.2 + 14.6

Distance = 9.4

Therefore the expression that represents the distance between -14.6 and -5.2 on the number line is 9.4.

2x+6=45

2x=39

x=19.5

i hope that's helpfull......... is it?

2x + 6 = 45

2x = 45 - 6

2x = 39

x = 39 : 2

x = 39/2 or 19.5 (39 : 2=19.5)

Remark

The difference is between any two terms. You should pick t3 and t4 which are both positive. That's easier to handle than a couple of minus signs.

d

t4 - t3 = d

13 - 5 = d

8 = d

a

the first term is - 11

Formula

t_n = a + (n-1)*d

t_n = -11 + (n-1)*8

Check

t_n = - 11 + (3-1)*8

t_3 = - 11 + 16

t_3 =  5 which it does.

Try t_5. It should be 21

t_5 = - 11 + (5 - 1)*8

t_5 = - 11 + 4 * 8

t_5 = -11 + 32

t_5 = 21

Answer

t_n = -11 + (n - 1)*8

[tex]21.161(17x+2)=24.8[/tex]

Distribute the [tex]21.161[/tex]

[tex]359.737x+42.322=24.8[/tex]

Subtract [tex]42.322[/tex] from both sides

[tex]359.737x=-17.522[/tex]

Divide [tex]359.737[/tex] on both sides

[tex]x=-0.048708[/tex]

Therefore -0.048708 is your answer.

I believe it is 20,416.67

Answer:

20417

Step-by-step explanation:

2450/12=204.16666   204.166*100=20416.6666667 round up

the slope is 0 so the answer is the graph with the horizontal line going through -2

Step-by-step explanation:

I had a different  A pex  question but it was still relatively the same answer but i don't want anyone getting the answer wrong due to confusion so my answer was

Answer: T(c)=c+160/4

The function T(c), which is the inverse of C(t), is T(c) = (c + 180) / 6.

To find the inverse function T(c), we first have to rewrite the original function C(t) in terms of c. So, if C(t) = 6t - 180, we write it as c = 6t - 180.

Next, we swap the roles of c and t, so now t becomes the function of c i.e., we get t = 6c - 180.

Finally, we solve this equation for c to get the inverse function. Doing so will give us c = (t + 180) / 6. Hence the inverse function is T(c) = (c + 180) / 6.

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we know 140 is 5% of some number x. to find x, we use this formula: 140/x = 5/100

cross multiply: 14000 = 5x

divide each side by 5: 2800

they had $2800 in their account.

Hello!

This question is super easy to me.

[tex]432/2[/tex]

[tex]Answer---> =216[/tex]

[tex]216*2=432[/tex]

[tex]432/216=2[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

Answer:

[tex]\displaystyle Yes[/tex]

Step-by-step explanation:

According to the Divisibility Rules, any number quantity ending in 8, 4, 6, 4, 2, or 0, is divisible by 2.

I am joyous to assist you anytime.

[tex]59\geq2a+59 > 43\qquad|-59\\\\0\geq2a > -16\qquad|:2\\\\0\geq a > -8[/tex]

[tex]Answer:\ -8 < a\leq0[/tex]

In mathematics, we convert division of fractions to multiplication by using the reciprocal of the divisor. By following these steps, -10/19 divided by (-5/7) simplifies to 14/19.

The problem at hand involves the division of two fractions, -10/19 divided by (-5/7). In mathematics, the division of fractions is performed by converting the division operation into multiplication by making use of reciprocal of the divisor. That means we replace the division symbol between the two fractions with a multiplication symbol and inverse the divisor (which is the fraction that comes after the division symbol).

Let's perform the operation step-by-step:

So, the result of -10/19 divided by (-5/7) is 14/19.

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2*2*3*5 are the prime factors of 60

2, 3 and 5 are the prime factors of 60.

9, -12, 24

The zeroes are the numbers in the parentheses with the opposite signs (-9 becomes 9, 12 becomes -12, and -24 becomes 24)

The zeros of the polynomial are 9, −12, 24.

option (c) is correct.

It is given that the  polynomial is

f(x) = (x − 9)(x + 12)(x − 24)

To find  the zeros of the polynomial.

A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power.

The given polynomial is

f(x) = (x − 9)(x + 12)(x − 24)

If f(x) =0

0 = (x − 9)(x + 12)(x − 24)

then

x-9=0 or x+12=0 or x-24=0

x=9 or x=-12 or x=24

so ,  the zeros of the polynomial are 9, −12, 24.

Learn more about the polynomial here:

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A rectangle is 2.8 meters wide and 3.5 meters long.

Length of the rectangle = 3.5 meters

Width of the rectangle = 2.8 meters

Area of the rectangle = Length * width

Area of the rectangle = 3.5 * 2.8 = 9.8 square meters

The unit of area is square meters or meter square

Area of the rectangle = [tex]9.8 m^2[/tex]

Yes, the fourth grades reached their goal and they raised 778,495 dollars that's 28,495 more dollars than they hoped to raised.

No they did not reach there goal. They have $370,127 more money raise.

There aren't any lines of symmetry because it is a scalene right triangle. (:

Answer:

The scalene triangle has no lines of symmetry.

Step-by-step explanation:

We can see that the given figure is a scalene right triangle.

A line of symmetry is a line that divides a figure into two mirror image halves. The line around which a figure is reflected over is called a line of symmetry.

The scalene triangle has no lines of symmetry. A scalene triangle is one which has no sides equal and no angles equal.

1. Looks like 12

that's all I know sorry :((

The equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]

Given the expression y = 9x^2 -4

Replace y with x to have

x = 9y^2 -4

Make y the subject of the formula to get the inverse function

9y^2 = x+ 4

[tex]y^2 = \frac{x+4}{9} \\y =\sqrt{\frac{x+4}{9} }[/tex]

Hence the equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]

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It doesn't seem like you can put this in standard form since you are lacking variables.

Standard form of a polynomial:

x^3 + x^2 + x + n = 0

First you had to subtract by seventeen from both sides of equation form.

[tex]17+p-17=7p-13-17[/tex]

Then simplify.

[tex]p=7p-30[/tex]

Next, subtract by seven-p from both sides of equation form.

[tex]p-7p=7p-30-7p[/tex]

Simplify.

[tex]-6p=-30[/tex]

Then you divide by negative six from both sides of equation form.

[tex]\frac{-6p}{-6}= \frac{-30}{-6}[/tex]

And finally, simplify by equation.

[tex]-30/-6=5[/tex]

Final answer: [tex]\boxed{p=5}[/tex]

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

I think it is 11. Hope this help.

5)

f and g are parallel so

5x + 9x +26 = 180

14x + 26 = 180

14x = 154

  x = 11 (second option)

6)

<1 + <2 = 180

answer

j║k by the converse of same side interior angles theorem (add up to 180)

i think the answer is

27?

Slope = 0.2 and  y-intercept = 0.3

The slope intercept form of line is

y=mx + b where m is the slope and b is the y intercept

So equation becomes  y = 0.2 x + 0.3

To find coordinates of 4 points , we plug in some number for x  and find out y

x              y = 0.2 x + 0.3

0              y = 0.2 (0) + 0.3= 0.3

1               y = 0.2 (1) + 0.3= 0.5

2               y = 0.2 (2) + 0.3= 0.7

3               y = 0.2 (3) + 0.3= 0.9

Four coordinates are (0,0.3) (1,0.5) (2,0.7) (3,0.9)