A student recorded the distance and height of a basketball when shooting a free throw.

Distance feet X 0 2 6 9 12 13 15
Height (feet) Y 4 8.4 12.1 14.2 13.2 10.5 9.8
(a) Write the quadratic regression equation mal models the data Letx=distance in feet and let y= height in feet Round all numbers to the nearest hundredth
(b) Use the equation to estimate the height of basketball when shot from 20 feet. Show your work.​

Answer:

56% of the guests were over 25 years old.

Step-by-step explanation:

To convert a fraction to a percentage, multiply the fraction by 100. So, 14/25 can be multiplied by 4 to get 56/100, which is the same as 56%.

Answer:

2.5*10^-8 for sea water, 3.16*10^-11 for milk of magnesium, and 790 times greater

Step-by-step explanation:

We're trying to find the concentration of H+ in the solution using the pH, so

let's define pH first.
pH=-log(H+)

This equation can be re-written as
H+ = 10^(-pH), or H+ = 1/(10^pH)

The pH of sea water is 7.6, so the concentration of H+ in sea water is 10^(-7.6), which is about 2.5*10^-8

The pH of milk of magnesium is 10.5, so the concentration of H+ in milk of magnesium is 10^(-10.5), which is about 3.16*10^-11

To compare how much more the concentration of the hydrogen ion is, we just divide

(2.5*10^-8)/(3.16*10^-11) = 791, or 790 with sig figs.

Answer:

Step-by-step explanation:

The tourists walked a distance of 22 km during a day.

The first 3 hours they walked with the speed of 4 km/h and the rest of the distance with the speed of 5 km/h.

What was the total time they walked.

----------------------

Let the time the tourists walked with 5 km/h is t, then we have the following equation for the total distance

Solve for t

The total time was

Answer:

what's likely is times or Addition less like likely is subtraction or rounding

Answer:

C

Step-by-step explanation:

the surface consists of

3 front squares

3 back squares

2 right side squares

2 left side squares

2 top squares

2 bottom squares

that means we have in total 14 squares.

one square is 4×4 = 16 in²

so the total surface area is

14 × 16 = 224 in²

Answer: 7lb

Step-by-step explanation:

The amount of gravel required cover each square feet of the garden obtained by dividing the total amount of gravel used and the total area of the garden is 7 lb

Total area of garden = 36 ft²

Total amount of gravel used = 252 lb

The amount of gravel used to cover each ft² of the garden can be calculated thus :

(Total amount of gravel used) ÷ (Total area of garden)

252 ÷ 36 = 7 lb

Therefore, the amount of gravel required to cover each square feet of the garden is 7 lb

Answer:

See below

Step-by-step explanation:

D o you want pounds / sq foot ?

252 lbs / 36 ft^2 =   7 pounds per square foot

Answer:

The answer is A

Step-by-step explanation:

A pentagon is a polygon that has 5 sides and 5 vertices.

Answer:

$6200

Step-by-step explanation:

2% of $5000 = $100

So that's a hundred dollars per week

12 weeks x $100 = $1200

$5000 (The original amount the first customer borrowed)

+ $1200 (The interest rate)

= $6200

(P.S. Please give me a brainliest if you can)

Answer:

5"11

Step-by-step explanation:

6 foot 2 inches minus 3 inches is 5 foot 3 inches

Answer:

5'11

Step-by-step explanation:

Answer:

Equation 1:   x + 3y = 17

Equation 2:  -x + 2y = 8

Add Equation 2 to Equation 1:

     x + 3y = 17

+   -x + 2y = 8

           5y = 25

Divide both sides by 5:

[tex]\sf \implies \dfrac{5y}{5}=\dfrac{25}{5}[/tex]

[tex]\sf \implies y=5[/tex]

Answer:

Step-by-step explanation:

y = - 7x ......... (1)

- 14x - 2y = 0 ....... (2)

- 14x - 2y = 0 ⇒ y = - 7x

(1) and (2) are equivalent ⇒ system has infinitely many solutions

Answer:

¾. because 3 out of 4 are water cups

Answer:

75%

Step-by-step explanation:

3 cups of water to 1 cup of cranberry concentrate.

So, 4 cups of ingredients.

The percentage of  the cranberry juice that is water:

3 cups of water/4 cups of ingredients= 3/4.

To express 3/4 in percent, we multiply the fraction by 100%(percent).

[tex]\frac{3}{4}[/tex] * 100% = 75%

Hope this helps!

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Answer:

  BD = 19

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so we have ...

  BD/GF = BC/GE

  (2x -7)/57 = (x +4)/51 . . . . use the values marked on the diagram

  17(2x -7) = 19(x +4) . . . . . . . . multiply by 969

  34x -119 = 19x +76 . . . . . eliminate parentheses

  15x = 195 . . . . . . . . . add 119-19x

  x = 13 . . . . . . . . . . divide by 15

  BD = 2(13) -7 . . . . use the found value of x in the expression for BD

  BD = 19

Answer:

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.

If you can please give brainliest thank you <3

Step-by-step explanation:

360 yd

Multiply all numbers to get 360 yd

Answer:

A) 6.66% B) It's a decrease

(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)

Answer:

I think its 0.9 I believe so

Answer:

Down:

Step-by-step explanation:

Terms in this set (23) The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation; for the ith observation the ith residual is yi − ŷi. The analysis of variance table used to summarize the computations associated with the F test for significance.

        *basically you write the function in its simplest term where you cannot

          simplify it further

So:

     [tex]30x^3+10x^2 = 10(3x^3+x^2) = 10x^2(3x+1)[/tex]

Answer:  [tex]30x^3+10x^2[/tex] when factorized ⇒ [tex]10x^2(3x+1)[/tex]

Hope that helps!

Answer:

1/3

Explanation:

P(Freshman | Boy)

⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes

Answer:

[tex]\sf \dfrac13[/tex]

Step-by-step explanation:

From the table:

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Boy)=\dfrac{12}{30}[/tex]

[tex]\sf \implies P(Freshman \cap Boy)=\dfrac{4}{30}[/tex]

[tex]\begin{aligned}\sf P(Freshman|Boy) & = \sf\dfrac{P(Freshman \cap Boy)}{P(Boy)}\\\\ & = \sf\dfrac{4}{30} \div \dfrac{12}{30}\\\\ & = \sf\dfrac{4}{30}\times \dfrac{30}{12}\\\\ & = \sf \dfrac{4}{12}\\\\ & = \sf\dfrac{1}{3}\end{aligned}[/tex]

Answer:

9

Step-by-step explanation:

Because the 9 (by the power 12)/9 (by the power 12) becomes 9 (by the power 12) x  (by the power -12). HEre 12 gets subtracted by -12 and now remains 1 so,  9 (by the power 1) is 9

Answer:

15m

Step-by-step explanation:

You need to do the Pythagorean Theorem:

a^2 + b^2 = c^2

*(The ^ is meaning to a power or squared in this case)*

You are solving for c which is the hypothenuse!

12^2 + 9^2 = c^2

144+81 = c^2

225 = c^2  *(The opposite of squaring something is the square root)*

c= The square root of 225

That shall be simplified to 15

According to Pythagoras theorem

Base² + perpendicular ² = Hypotenuse ²

12² + 9² = H²

144 + 81 = H²

225 = H²

H = √225

H = 15

Hypotenuse = 15m

HOPE IT HELPS :)

[tex]\bold{Heya!}[/tex]

Your answer to this is:

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: (1)[/tex]

[tex]\sf{Apply \: rule:} \: (a) = a[/tex]

[tex]\sf{(1) = 1[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: ^. \: 1[/tex]

[tex]\sf{\frac{1}{1 \: + \:1} = \frac{1}{2}[/tex]

[tex]\sf{\frac{2^1^0^0}{1 \: + \: x^2^0^0} ^.^ \: 1 \: = \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

Answer:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right)=9x - 6[/tex]

Step-by-step explanation:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right) = x^{3}-3x+1-x^{3}-7+12x[/tex]

                                                [tex]= -3x+1-7+12x[/tex]

                                                [tex]=9x - 6[/tex]

Answer:

y = 29

Step-by-step explanation:

Since it is a vertical angle, both angles represented by the equations are equal. Meaning we can set them equal to each other and find y by simplifying.

4y-8 = 79+y

-79     -79

4y-87 = y

-4y       -4y

-87 = -3y

Divided by -3

29 = y