(07.05)
A random sample of students at Spectrum University was asked to estimate
the average number of minutes they spent on social media per day and their
grade point average (GPA). The data are shown in the table.
Minutes Spent on Social
Media
35 58 61
64 72 75 79 101 115
Grade Point Average
3.9 3.6 3.55 3.5 3.2 3.5.3 2.8 2.5
A researcher wants to determine whether there is a relationship between the
number of minutes spent on social media each day and GPA. What are the
appropriate testing hypotheses?

Answer:

f(7) = 64

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into f(x) , that is

f(7) = [tex]\frac{1}{2}[/tex] × [tex]2^{7}[/tex] = [tex]\frac{1}{2}[/tex] × 128 = 64

Answer:64

Step-by-step explanation:

BIG BRAIN

Answer:

hello

15 x² + 100 x - 70 - 17 x + 6 x²

=  9 x² + 83 x - 70

9 x² + 83 x - 70 = 0

Δ = 83 ² - 4 ( 9 * - 70 ) = 6 889 + 2 520 = 9 409 = 97 ²

x 1  = ( - 83 - 97 ) / 18 = -  180/18 = - 10

x 2 = ( - 83 + 97 ) / 18 =  14 /18  = 7 /9

Step-by-step explanation:

Answer:

i believe its 1.75 (i had to relearn this)

Step-by-step explanation:

1.75 times 28= 49

1.75 times 20= 35

Answer:

b = 22

Step-by-step explanation:

74 + 74

= 148

180 - 148

= 22

i hope this work for you

Answer:

Option B. 7

Step-by-step explanation:

Hello!

We can solve this by plugging in -2, in the equation [tex]\bold{f(x) = |1 - 3x|}[/tex]

Solve:

Remember:

Answer:

28 units^2

Step-by-step explanation:

A=1/2bh

base is 8

height is 7

A=1/2*56

A=28 units^2

Answer:

100π - (96 + (13/2)√231 ) m^2

Step-by-step explanation:

We will solve this by finding the area of the triangles (the quadrilateral is cut by the diameter) and subtract it from the area of the circle.

There is a circle theorem which states that if a triangle is in the semicircle and the hypothenuse extends to the length of the diameter, the angle at B here is 90 degrees.

Since angle B is 90 degrees we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find Line AC.

so 144 + 256 = 400

√400 = 20

So diameter is 20

Finding the area of the top triangle:

1/2(12x16) = 96cm^2

For the bottom triangle, we need the side DC to find the area. To find it we will apply the theorem once again.

400 = 169 + DC^2

DC^2 = 231

DC = √231

so the area of the bottom triangle is 1/2(13√231) = (13/2)√231

Now we add the area of the triangles for the quadrilateral and subtract from the circle area.

The circle area is 100π (πr^2)

Hence, the area of the shaded region is:

100π - (96 + (13/2)√231 ) m^2

Answer:

Between 1 and 1 1/2 pounds. (_8__)

Between 2 and 2 1/2 pounds. (_1_)

Answer:

The price for 1 ounce of gold is around £1,451 which is around 1,922$ and the price for 1 ounce of silver is around £19.17 which is around 25$.

Answer:

Yes, 6.

Step-by-step explanation:

it says it on the picture?

Anyways,

21-3=18

18+18=36

36÷6=6

Answer:  21 – 3 + 18 ÷ 6 = 6. Twenty-one minus 3 is 18, then add 18 to that to get 36. Then divide that by 6 to get the correct answer, 6

Step-by-step explanation:

Answer:V≈3015.93

Step-by-step explanation:this is the answer

Answer:

True

Step-by-step explanation:

1 Meter is equal to 100 centimeters

Answer: True

Explanation: 1 meter=100 cm

Answer:

D. One

Step-by-step explanation:

     A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.

     A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do the math to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.

     "The Math"

-> Keep in mind there will be four angles

-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.

360° - 90° = 270°

270° / 3 = 90° ✓

To make sure that a parallelogram is a rectangle, at least one angle must be 90°. The correct answer is D.

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Let consider given parallelogram be ABCD.

All of the angles of a parallelogram must be 90° for it to be a rectangle.

Let ∠A = 90°.

Since opposite angles of a parallelogram are equal

So, ∠C = ∠A = 90°

And adjacent angles are supplementary and their sum is 180°.

So, ∠A + ∠B = 180°.

∠B = 180°- ∠A = 180° - 90° = 90°

As we know that opposite angles of a parallelogram are equal

So, ∠D = ∠B = 90°.

If all four angles are right angles (90°), then given one angle = 90°.

To make sure that a parallelogram is a rectangle, at least one angle must be 90°.

Learn more about parallelograms here:

brainly.com/question/11220936

#SPJ7

Answer:

what is the difference in length and the shortest length

Answer:

x=3y+6

Step-by-step explanation:

1.

Let's solve for x.

2x−6y=12

Step 1: Add 6y to both sides.

2x−6y+6y=12+6y

2x=6y+12

Step 2: Divide both sides by 2.

2x ÷2= (6y+12)÷2

x=3y+6

Answer:

8.3

Step-by-step explanation:

5+10+8+9+9+9=50

50/6=8.333333333333333333333333333333333333333333

=8.3

Answer:

The mean is basically the average.

In order to find avergae you add up all the given numbers and then divide it by the amount of given numbers.

in this case…

5 + 10 + 8 + 9 + 9 +9 = 50

There are 6 given values, which are 5, 10, 8, 9, 9, 9.

We divide 50 (the total number) by the given amount (6).

50/ 6 = 8.33333…

Your answer is 8.3

Step-by-step explanation:

5÷3=5/3 .The Numerator is > Denominator. So the fraction 5/3 is an Improper Fraction.

So the Proper Factored Form=1+2/3=1 2/3.

In fact 1 2/3 is a Mixed Fraction. But since its Numerator 2 < Denominator 3 ( of the Factional part)

The mathematical interpretation of "what fraction of 5 is 3?" is 5/3

First, we need to identify the numerator and the denominator

The numerator is the number on top of a fraction

The denominator is the number beneath a fraction

Since 3 is said to be a fraction of 5:

The numerator = 5

The denominator = 3

Fraction = Numerator / Denominator

Fraction = 5/3

Therefore, the mathematical interpretation of "what fraction of 5 is 3?" is 5/3

Learn more here: https://brainly.com/question/9492789

Answer:

First part: k=2

Second part: a=1

Third part: b=2 c=-1 d=-2

Forth part: x^2-x-12

Step-by-step explanation:

If you're looking for the cartesian form of this straight line then that would be,

[tex] - 3x - 2y + 8 = 0[/tex]

If you're looking for the equation in the form of y=mx+b, then:

[tex]y = - \frac{3}{2} x + \frac{8}{2} [/tex]

[tex]y = - \frac{3}{2} + 4[/tex]

Where -3/2 is the slope of the line

and 4 is the intersection with the y-axis (0,4)

if you want to graph this line, just take values of x and find their y, and plot these points.

finally join the points to get the graph of the line.

hope this clears things up

Answer:

-1

hope it helps

Answer:

-1

Step-by-step explanation:

I graphed it out and got the answer. Plz give brainliest if you got it

See picture for math work and answer.

Answer:

y = - 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2 )

m =  =  =  = - 2

The line crosses the x- axis at (0, 2 ) ⇒ c = 2

y = - 2x + 2 ← equation of line

Answer:

34

Step-by-step explanation:

substitute x = 6, y = - 2 into the expression

5x - 2y

= 5(6) - 2(- 2)

= 30 + 4

= 34

Answer:

Velocity = 1.31 millimetres per second

Step-by-step explanation:

Given:

Total distance = 131 millimetres

Total time taken = 10 seconds

Find:

Velocity

Computation:

Velocity = Total distance / Total time taken

Velocity = 131 / 10

Velocity = 1.31 millimetres per second

Answer:

B

Step-by-step explanation:

2 solutions because they is solution to it

Answer:

17 seconds

Step-by-step explanation:

h(t) represents height, we want to know when the ball will return to a height of 28 feet. So our equation is..

28 = -2t² + 34t + 28

Now solve for t...

0 = -2t² + 34t (subtract 28 from both sides)

0 = t² - 17t (divide both sides by -2)

0 = t(t - 17) (factor out a t)

So

t = 0

or

t - 17 = 0

t = 17

0 seconds is the initial height. At 17 seconds, the ball will return to that height

i hope this work for you

Step-by-step explanation:

[tex] \red{\frak{Given}} \begin{cases} & \sf {13\ cos \theta\ -\ 5\ =\ 0\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \big\lgroup Can\ also\ be\ written\ as \big\rgroup} \\ & \sf {cos \theta\ =\ {\footnotesize{\dfrac{5}{13}}}} \end{cases}[/tex]

Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.

Where,

As we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,

[tex] \rightarrow {\underline{\boxed{\red{\sf{cos \theta\ =\ \dfrac{Adjacent\ side}{Hypotenuse}}}}}} [/tex]

Since, we know that,

So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.

Therefore,

[tex] \red \bigstar {\underline{\underline{\pmb{\sf{According\ to\ Question:-}}}}} [/tex]

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {(PQ)^2\ +\ (QR)^2\ =\ (RP)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ (5)^2\ =\ (13)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ 25\ =\ 169} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 169\ -\ 25} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 144} \\ \\ \\ \sf \dashrightarrow {PQ\ =\ \sqrt{144}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{PQ\ (Opposite\ side)\ =\ 12}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]

∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.

[tex] \rightarrow {\underline{\boxed{\red{\sf{sin \theta\ =\ \dfrac{Opposite\ side}{Hypotenuse}}}}}} [/tex]

Where,

Therefore,

[tex] \sf \rightarrow {sin \theta\ =\ \dfrac{12}{13}} [/tex]

Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.

[tex] \rightarrow {\underline{\boxed{\red{\sf{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}}}}}} [/tex]

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\Big( \dfrac{12}{13}\ +\ \dfrac{5}{13} \Big)}{\Big( \dfrac{12}{13}\ -\ \dfrac{5}{13} \Big)}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\dfrac{17}{13}}{\dfrac{7}{13}}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{13} \times \dfrac{13}{7}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{\cancel{13}} \times \dfrac{\cancel{13}}{7}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{7}}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]

∴ Hence, the required answer is 17/7.

We started by finding the area of the two respective circles, then we found the area of the path, after which we estimated the number of sand bags needed to be 51.8 bags

Ans 51.8 bags

Given data

Area of path = Area of outer edge - area of garden

Area of path = πD^2/4 - πd^2/4

Area of path = 3.142*36^2/4 - 3.142*30^2/4

Area of path = 3.142*1296/4 - 3.142*900/4

Area of path = 4072.032/4 - 2827.8/4

Area of path = 1018.008 - 706.95

Area of path = 311.058 square yd

1 bag of sand will cover 6yd^2

x bags of sand will cover 311.058 yd^2

cross multiply we have

x = 311.058/6

x = 51.843 bags of sand

Learn more about the area of circle here:

https://brainly.com/question/14068861

Answer:

g(x) has a larger slope

Step-by-step explanation:

If you look closely, g(x) has a slope of 5.

Answer:

x=12

Step-by-step explanation: