1. Select all the relationships that demonstrate a positive association between variables.
(Sketch a graph if needed in order to identify a positive relationship)
A. Outside temperature and cost to heat a home
B. Number of people in a grocery check-out line and how long you have to wait to check out
C. Length of time you have walked and distance you have traveled
D. Pounds of cherries you buy and amount of money you spend on cherries
E. Speed of a train and the amount of time it takes for the train to get to its destination

Answer:

since r > 0.361

we reject H₀

Therefore, Yes, It does suggest that  there is a linear relation between student task persistence and achievement score, since r  [0.883 ] is greater than critical value for 30 [ 0.361 ]

Step-by-step explanation:

Given the data in the question;

n = 41

r = 0.883

H₀ : population correlation coefficient = 0 ( both are independent )

Hₐ : population correlation coefficient ≠ 0 ( there is a linear relation between student task persistence and achievement score )

critical value for n = 30 is 0.361

that means, for n = 41, critical value will be less than 362

now, since r > 0.361

we reject H₀

Therefore, Yes, It does suggest that  there is a linear relation between student task persistence and achievement score, since r  [0.883 ] is greater than critical value for 30 [ 0.361 ]

Answer:

C = 4.94   M = 18.38

Step-by-step explanation:

the easiest way is to graph both equaitons and see where they intersect,

see the image

or solve by substitution

6C + 47M=893.50           C = (893.50 - 47M)/6

25C + 22M=527.86

25((893.50 - 47M)/6)  + 22M = 527.86

25/6 [(893.50) - 47M] + 22M = 527.86

25/6 [ - 47M] + 22M = 527.86 - 25/6 [(893.50)

22M - 25(47M)/6  = -3195.06

22M - 195.83M  = -3195.06

      -173.83M   =   -3195.06

                 M  =  18.38

C = (893.50 - 47(18.38)/6

C = 4.94

Answer:

Step-by-step explanation:

There are several things we need to know to solve this: the perimeter formula of a rectangle, the area formula of a rectangle, and how to complete the square to find the answer. First of all, if the farmer has 148 feet of fencing to enclose 3 sides of a rectangle, the perimeter formula we need will include only 3 sides, the 2 widths and the 1 length:

P = 2w + l; solving for l and filling in our length of fencing gives us:

l = 148 - 2w

The area then for this will be:

A = (148 - 2w)(w) which is the same thing as length times width (area for a rectangle). Multiplying that out gives us:

[tex]A=148w-2w^2[/tex]. Let's rearrange that and put it into descending order so we can complete the square on it:

[tex]A=-2w^2+148w[/tex]

The reason we want to complete the square is because the answer that results from that will give us the dimensions of the rectangle (the width and the length) and also the area. Completing the square maximizes (or minimizes) area.

To complete the square, first factor out the -2 since the leading coefficient when you complete the square has to be a +1. When we do that we get:

[tex]A=-2(w^2-74w)[/tex]. Set it equal to 0 so we can factor it:

[tex]-2(w^2-74w)=0[/tex]

The idea now is to take half the linear term (the term stuck to the w), divide it in half, then square that number. Our linear term is 74. Half of 74 is 37, and 37 squared is 1369. So we add 1369 to both sides, the left side first:

[tex]-2(w^2-74w+1369)=...[/tex]

But we didn't just add in 1369. There's a -2 out front there that refuses to be ignored. It's a multiplier. What we ACTUALLY added in was -2 times 1369 which is -2738; therefore:

[tex]-2(w^w-74w+1369)=-2738[/tex]

The left side can be simplified down to a perfect square binomial:

[tex]-2(w-37)^2=-2738[/tex]

Now we'll add over the -2738:

[tex]-2(w-37)^2+2738=y[/tex] and from there determine our answer. The (w-37) term is the width of the rectangle; therefore, the length is 148 - 2(37) which is 74; the total area if the 2738. Completing the square gives us the vertex form of the parabola; the vertex is (37, 2738) where 37 is the width of the rectangle and 2738 is the max area.

Answer:

A, C, D.

Step-by-step explanation:

Answer:

328 is the surface area

Step-by-step explanation:

Answer:

1/100 (1471 z + 2100)

0.01 (1471 z + 2100) the result I got

and the Factorization over the splitting field:

14.71 z + 21

Answer:

3,268,584

Step-by-step explanation:

1^12 is 1

Answer:

n+18

Step-by-step explanation:

Answer: n+18

Step-by-step explanation:

CONCEPT:

- a increased by b=a+b

- a decreased by b= a-b

- a multiply by b=ab

- a divided by b=a/b

SOLVE:

A number n increased by 18

(n) increased by (18)

n+18

Hope this helps!! :)

Please let me know if you have any questions

Answer:

128 :)

Step-by-step explanation:

The area of the given triangle in the figure is 64 ft.².

A triangle is one of the most elementary geometric figures with 3 edges, 3 angles, and 3 vertices. The sum of the three angles of a triangle is 360°. The area of a triangle can be found using many methods but the most basic method is to half the product of height and length of the base of the triangle.

Given that

The height of the given triangle is 16 ft. and the length of the base is 16 ft.

As it is known that the area of a triangle is defined as

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times height\times base[/tex]

So,

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times 8\times 16\\Area\ of\ the\ triangle = 64 ft.^2[/tex]

Thus, the area of the given triangle is 64 ft.².

Learn more about Triangles here:

https://brainly.com/question/2773823

#SPJ6

Answer:

The top number in a fraction. Shows how many parts we have. (The bottom number is the Denominator and shows how many equal parts the item is divided into.)

Step-by-step explanation:

Answer:

1078in

Step-by-step explanation:

Surface area =2(wl+hl+hw)

2·(17·19+6·19+6·17)=1078in

there should be a cross multiplication

3(8x)=2

expanding bracket

24x=2

multiple both sides by 24

x=1/12

Answer:

y = -x + 8

Step-by-step explanation:

m = -1  ; x1 = 3 ; y1 = 5

Slope point form: y - y1 = m(x -x1)

y - 5 = -1(x - 3)

y -  5 = -1x - 3 *(-1)

y - 5 =-x + 3

    y =  -x + 3 + 5

     y = -x + 8

Answer:

4.35 miles if rounded 4.5 miles

Step-by-step explanation:

7 divided by 1.609 sums up to 4.35052

Answer:

Is 3(b+c) equivalent expressions?

A. True

Answer:

A

Step-by-step explanation:

We want to solve the equation:

[tex]5\sin(2x)=3\cos(x)[/tex]

To do so, we can rewrite the equation.

Recall the double-angle identity for sine:

[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]

By substitution:

[tex]5\left(2\sin(x)\cos(x)\right)=3\cos(x)[/tex]

Distribute:

[tex]10\sin(x)\cos(x)=3\cos(x)[/tex]

We can subtract 3cos(x) from both sides:

[tex]10\sin(x)\cos(x)-3\cos(x)=0[/tex]

And factor:

[tex]\cos(x)\left(10\sin(x)-3\right)=0[/tex]

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0 and we cannot divide by 0. Hence, we should subtract and then factor.

Answer:

A. cosx(10sinx-3)=0

Step-by-step explanation:

5(2sinxcosx)=3cosx

10sinxcosx-3cosx=0

cosx(10sinx-3)=0

Answer:

two dollars

Step-by-step explanation:

12-8=4/2=2

80m, you kind of distribute so 8 times 10m is 80m

Answer:

We say that a function is increasing on an interval if the function values increase as the input values increase ...

Step-by-step explanation:

Answer:

9.76

Step-by-step explanation:

area of a rectangle = length * breadth

length = (2x + 3)

breadth = x

given area is 220 sq. inches.

thus,

220 = x * (2x+3)

220 = 2x² +3x

2x² + 3x -220 = 0

x = (-b + √ ( b²-4ac) ) ÷ 2a

x = ( -3 + √ ( 3² - 4*2*220) ) ÷ 2*2

x =9.76

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The scale factor is the ratio of corresponding dimensions:

  (6 cm)/(9 cm) = 2/3

9514 1404 393

Answer:

  14

Step-by-step explanation:

Use the formula with n=3.

  h(3) = h(3-2) +h(3-1)

  h(3) = h(1) +h(2)

  h(3) = -6 +20 . . . . . substitute the given values

  h(3) = 14

Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The two angles + 90 degrees equals 180 degrees

So it is sufficient to say that the two angles equals 90 degrees

6r - 7 + 55 = 90

6r + 48 = 90

6r = 42

r = 7

Answer:

The car gets 35 miles per gallons.

Step-by-step explanation:

Answer:

600000Ω

Step-by-step explanation:

1μA = 10⁻⁶ A

200μA = 0.0002 A

Potential difference = V = 120 V

Current = I = 0.0002 A

Resistance = R

R = V / I

  = 120 / 0.0002

  = 600000Ω

Answer:

72. If the second 3cm has some relevance, leave a note and I'll come back and modify my answer.

Step-by-step explanation:

Givens

L = 6 cm

W = 3 cm

H = 2 cm

I don't know what the extra 3 cm is for.

Formula

SA = 2*L*W + 2*L*H + 2*H*W

SA = 2*6*3 + 2*6*2 + 2*2*3

SA = 36 + 24 + 12

SA = 72

Answer:

Step-by-step explanation: