Which number best represents the location of point A on the number line shown?

A) -7.5

B) 7 3/10

C) 7 3/8

D) 7 3/7

Answer:

y = -15.9x² + 110.48x + 3.02

initial velocity: 110.48 ft/s

initial height: 3.02 ft

time to cath the ball at 6 ft: 6.92

Step-by-step explanation:

In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)

The initial velocity is the second coefficient.

The initial height is the third coefficient.

Replacing y = 6 into the equation and solving with the quadratic formula:

6 = -15.9x² + 110.48x + 3.02

0 = -15.9x² + 110.48x + 3.02 - 6

0 = -15.9x² + 110.48x - 2.98

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]

[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]

[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]

[tex]x_1 = 0.03[/tex]

[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]

[tex]x_2 = 6.92[/tex]

In the context of the problem, only x2 has sense.

Your answer will be 10m.

We can picture this question as a right-angled triangle, where the pole is one leg, and the distance from the pole to the pigeon on the ground is another leg. Using this, the hypotenuse would be the distance that the pigeon would travel to get from the ground to the top of the pole, presuming it flies in a straight line, and so we can use Pythagoras’ Theorem to find the length of the hypotenuse.

a² + b² = c²

(6)² + (8)² = c²

36 + 64 = c²

100 = c²

10 = c

I hope this helps! Let me know if you have any questions :)

Answer:

Step-by-step explanation:

The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).

The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.

The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)

"The graph of a function f is the set of all points in the plane of the form (x,  f(x))."

For given example,

f(x) = x²

The graph of a function f(x) would be a parabola with vertex at origin (0, 0).

And g(x) = 1/3 f(x)

⇒ g(x) = 1/3 (x²)

We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.

Since for a parabola g(x) the quadratic coefficient is 1/3.

This means the parabola g(x) is wider than the parabola f(x)

So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.

The graph of g(x) is parabola (as shown in following figure)

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Answer:

15

Step-by-step explanation:

Because this figure is a parallelogram, the diagonals bisect each other. This means that the diagonals cut each other perfectly in half, meaning that x and 15 have the same value. Hope this helps!

Step-by-step explanation:

I think its 5 for x if you do 15/3=5 I think

Answer:

[tex]12n^4-15n^3-3n^2[/tex]

Step-by-step explanation:

The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:

[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]

[tex]12n^4-15n^3-3n^2[/tex]

Answer:

The answer is x ^5

Answer:

a(91) = -1705

Step-by-step explanation:

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is    a(91) = 5 - 19(91 - 1), or

                                        a(91) = 5 - 1710, or

                                        a(91) = -1705

The 91st term of the arithmetic sequence is -1705.

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.

Given that an arithmetic sequence 5, -14, -33, ...

nth term of an AP is, a(n) = a + (n-1)d

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is  

a(91) = 5 - 19(91 - 1)

a(91) = 5 - 1710

a(91) = -1705

Hence, The 91st term of the arithmetic sequence is -1705.

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Answer:

V_rectangular_box = width x height x length

V = V_big_one + V_small_one

  =  (1/3)x(1/4)x(5/8) + (1/6)x(1/4)x(1/4) = 1/16 (ft3)

Answer:

fjdjdkhfidkfjsidmi

Step-by-step explanation:

irufusidjf9sodf8wpud8dkdhd8idhddh

Answer:

100

Step-by-step explanation:

Because adjacent angles in a parallelogram are supplementary, angle 1 and 80 must add up to 180 degrees. Therefore, angle 1 is 180-80=100 degrees. Hope this helps!

Answer:

100

Step-by-step explanation:

Hope this helped!

Answer:

4x+9, 1st degree binomial

Step-by-step explanation:

It's already in standard form

Answer:

4

Step-by-step explanation:

Answer:

34.35 liters

Step-by-step explanation:

Answer:

11/12

Step-by-step explanation:

1

3

(

11

4

)

=(

1

3

)(

11

4

)

=

(1)(11)

(3)(4)

=

11

12

(Decimal: 0.916667)

PLease mark me brainllest!!!

The given equation in fraction should be [tex]\frac{5}{12}[/tex]

Since two fractions are given i.e. [tex]\frac{1}{3}[/tex] and [tex]1 \frac{1}{4}[/tex]

We have to multiply these two in fractions

So,

[tex]= \frac{1}{3} \times 1\frac{1}{4}\\\\ = = \frac{1}{3} \times \frac{5}{4} \\\\= \frac{5}{12}[/tex]

Therefore, we can concluded that The given equation in fraction should be [tex]\frac{5}{12}[/tex]

Learn more about fraction here: https://brainly.com/question/17748421

Since y = f(x), and we are adding 5 to this, we can say that g(x) is basically f(x) but has been shifted 5 units up.

Example: f(x) = x^2 and g(x) = f(x)+5 = x^2+5. Compare those two graphs and you should see that every point on f(x) has been moved up 5 units.

The statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".

A function assigns the value of each element of one set to the other specific element of another set.

As the value of function g(x) is given, therefore, the function of g(x) will be 5 units upwards from the function f(x).

An example of this is been attached below.

Therefore, the statement best compares the graph of g(x) with the graph of f(x) is  "The graph of g(x) is the graph of f(x) shifted 5 units up".

Learn more about Function:

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Answer:

(0,-21)

Step-by-step explanation:

The x value of a y intercept is always 0

So we can plug in 0 to the equation to solve for the y intercept

(2*0-3)(3*0+7)

-3*7= -21

y intercept: (0,-21)

Answer:

-21

Step-by-step explanation:

f(x)=(2x-3)(3x+7)

The y intercept is when x=0

f(0) = (0-3) (0+7)

     -3*7

    -21

The y intercept is -21

Answer:

Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.

Answer:

incorrect

wrong equation 2 1/2 / 3/4

correct equation 2 1/2 / 3/8 = 6 2/3

6 groups of students.

Step-by-step explanation:

Answer:

The distance that Mrs. Gilbertson's daughter walked was 188.4 feet

Step-by-step explanation:

Here we have that Mrs. Gilbertson's daughter walked round the circle 12 times where the diameter of the circle = 5 ft., therefore, the circumference of the circle, the distance walked round each of the 12 times = π·D

Where:

D = 5 ft

Hence, circumference = π × 5 = 3.14 × 5 = 15.7 ft

Therefore, by walking round the circle 12 times, the total distance that Mrs. Gilbertson's daughter walked = 12 × 15.7 = 188.4 ft.

Answer:

12

Step-by-step explanation:

the range is = maximum value given - the minimum value given

the data is spread from 0 -12. that means that someone either had 0 pencils or any other number of pencils to 12.

the range would then be 12 - 0.

Answer:

43.01m^2

Step-by-step explanation:

[tex]A=\frac{1}{4} \sqrt{5(5+2\sqrt{5}) } a^2\\[/tex]

This is the formula for a pentagon

Answer:52.2in

Step-by-step explanation:

Did it on a test and got it correct

Answer:

My sister is getting ready to prepare, I would say 1100 it means you are above.

Step-by-step explanation:

Step-by-step explanation:

To find the probability

Total marbles = 5 + 3 + 6 + 2 = 16

P pink = 5/ 16

P orange = 3/16

P green = 6/ 16 = 3/8

P yellow = 2/16 = 1/8

Part B when we divide 80 by 16 = 5

So she drew every marble 5 times

So 3 x 5 = 15

She drew the orange marble 15 times

Answer: it’s B

Step-by-step explanation:

I just took the test

Answer:

The perimeter of triangle is 30ft.

Step-by-step explanation:

First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

Let b = 12,

Let c = 13,

[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]

[tex]a = \sqrt{25} [/tex]

[tex]a = 5feet[/tex]

Next you have to find the perimeter of triangle by adding all the sides together :

[tex]perimeter = 5 + 12 + 13[/tex]

[tex]perimeter = 30feet[/tex]

Answer:

it’s 76 ft squared

Step-by-step explanation:

happy to help:)

Answer:

20.31%

Step-by-step explanation:

a) Construct a binomial distribution.

P = nCx* p%5Ex%2Aq%5E%28n-x%29 p= .8 and q = .2  and n = 8

b) Find the

mean = np = 8%2A.8+=+6.4

variance = npq = 6.4%2A.2+=+1.28

standard deviation of the probability distribution.sqrt%281.28%29

c) P(x = 6) = 28+%2A%28.8%29%5E6%28.2%29%5E2 =  .2936  or 29.36%

d) P(x < 6) = 1 - P(x = 8) - P(x = 7) - P(x = 6)

           =  1 - .1678 - .3355 - .2936  = .2031   or 20.31%

HOPE THIS HELPS PLZ MRK BRAINLIEST

The graph of the absolute value parent function will be V-shaped. Then the correct option is C.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

The graph of the absolute value parent function will be V-shaped.

Then the correct option is C.

More about the absolute function link is given below.

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Answer:

A,C,D

Step-by-step explanation:

just took the test

Answer: A. 343.08

Step-by-step explanation:

with the property tax rate and monthly tax payment is what were looking for

Answer:

5 sqrt(3)

Step-by-step explanation:

Since this is a right triangle

sin theta = opposite side/ hypotenuse

sin 60 = x /10

10 sin 60 = x

10 sqrt(3) /2 =x

5 sqrt(3) =x

Answer:

5√3

Step-by-step explanation:

The sine function ties together the information at hypotenuse = 10, opposite side = x and angle of elevation = 60 degrees:

sin 60 degrees = opp side / hypotenuse  =  x/10.

Therefore, x = 10 sin 60 degrees = √3/2, and so x = 10√3/2  =  5√3  (equal to the third answer choice).