What is the unit rate of 28 miles in 4 hours?

Answer:

- If a student studies for 6 hours, they will receive a grade of about 100.

- In general, the longer time spent studying, the higher the student's grade.

Step-by-step explanation:

Given

See attachment for plot

Required

Select all correct options

First, we determine the equation of best fit.

Pick two corresponding points on the plot

[tex](x_1,y_1) = (2,70)[/tex]

[tex](x_2,y_2) = (4,85)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{85 - 70}{4-2}[/tex]

[tex]m = \frac{15}{2}[/tex]

[tex]m = 7.5[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 7.5(x - 2) + 70[/tex]

[tex]y = 7.5x - 15 + 70[/tex]

[tex]y = 7.5x +55[/tex]

The above represents the line of best fit.

By comparison, (a) is incorrect

We calculate the slope to be:

[tex]m = 7.5[/tex]

Since the slope is positive, then the relationship is positive (b is incorrect)

Also, the positive slope implies that, as x increases, y also increase.

Hence, (d) is correct.

For (c), we substitute 6 for x in the calculated equation of best fit

[tex]y = 7.5x +55[/tex]

[tex]y = 7.5 * 6 + 55[/tex]

[tex]y = 45 + 55[/tex]

[tex]y = 100[/tex]

This shows that (c) is true because 6 hours of study gives a grade of 100

Answer:

X is about 58.41 degrees

Step-by-step explanation:

For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.

Therefore, with the equation for sine, we would get

sin(x) = 23/27

sin(x) = 0.851

Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.

x = sin-1 23/27

Last, use a calculator to get the answer.

X is about 58.41 degrees

Answer:

Step-by-step explanation:

p=56.6

Answer:

56.6ft

Step-by-step explanation:

i added all the sides together hope it is correct

Answer:

Option C

Step-by-step explanation:

Use the property to convert each expression from exponent form to radical form.

[tex](a)^{\frac{1}{n}}=\sqrt[n]{a}[/tex]

a). [tex](b)^{\frac{4}{5}}=(b^4)^\frac{4}{5}[/tex]

           [tex]=\sqrt[5]{b^4}[/tex]

b). [tex](8x)^\frac{2}{3}=[(8x)^2]^\frac{1}{3}[/tex]

              [tex]=[64x^2]^\frac{1}{3}[/tex]

              [tex]=[(4)^3x^2]^\frac{1}{3}[/tex]

              [tex]=(4^3)^\frac{1}{3}(x^2)^\frac{1}{3}[/tex]

              [tex]=4(x^2)^\frac{1}{3}[/tex]

              [tex]=4\sqrt[3]{x^2}[/tex]

Therefore, Option C will be the answer.

Answer:

because an expersion is A variable can be a letter or another symbol that stands for an unknown in an equation or expression.

Step-by-ste  p explanation:

Answer:

x+84=180

Step-by-step explanation:

a triangle has a total angle degrees of 180

Answer:

x + 84 = 180

Step-by-step explanation:

The sum of all the interior angles of a triangle is 180. So basically, x plus the other two angles would have to equal 180.

I really don know but ill go with 6

Answer:

20 - 29

Step-by-step explanation:

Please find the complete question in the attached image

An histogram is a bar-like graph used to represent numerical data. On the y-axis is the frequency of the data and on the x-axis is the data

median is a measure of central tendency. It measures the middle number in a set of observation

there are 20 observations (visitors),

1, 2, 3,5,6, 7, 8, 9,| 10, 11, | 12,13,14,15,16,17,18,19,20

the median is 10 and 11 or 10.50

there are 9 numbers on either sides of 10 and 11

the 10th and 11th visitor would be found in the age group 20 - 29

x2+y2−2x−80=0

Write the problem as a mathematical expression.x2+y2−2x−80=0

Add  80 to both sides of the equation. x2+y2−2x= 80 Complete the square for x2− 2x. Tap for more steps...(x−1)2−1 Substitute  (x−1)2−1 for x−2x in the equation  x2+y2−2x =80 .(x−1)2−1+y2=80 Move −1 to the right side of the equation by adding  1 to both sides.(x−1)2+y2=80+1Add 80 and 1.(x−1)2+y2=81

This is the form of a circle. Use this form to determine the center and radius of the circle.(x−h)2+(y−k)2=2Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and  k represents the y-offset from origin.r=9h=1k=0 The center of the circle is found at (h,k). Center: (1,0)These values represent the important values for graphing and analyzing a circle. Center: (1,0)Radius:  9

Answer:

x = 30

2x =60

Step-by-step explanation:

the angle is a right angle- so that means it’s a 90 degree angle

so let’s set up an equation..

We get 90 degrees when we add 2x Plus x

So 2x + x = 90

then, 3x = 90

x= 30

you Can check your Answer by:

Do 2 times 30 = 60

and then 60+ 30

you will Get 90

Answer:

The probability that both balls are red is 5.81%, that one is red and one black is 38.36%, and that both are black 55.81%.

Step-by-step explanation:

Given that a box contains 44 table tennis balls having the same shape and size, and among them 33 are black and remaining balls are red, if two balls are drawn randomly one after another without replacement, to show the probability of all possible outcomes the following calculations must be done:

Red + red:

11/44 + 10/43 = 0.25 x 0.2325 = 0.0581

Red + black:

11/44 + 33/43 = 0.25 x 0.7674 = 0.1918

Black + red:

33/44 + 11/43 = 0.75 x 0.2558 = 0.1918

Black + black:

33/44 + 32/43 = 0.75 x 0.7441 = 0.5581

19.18 x 2 = 38.36

Therefore, the probability that both balls are red is 5.81%, that one is red and one black is 38.36%, and that both are black 55.81%.

Zeros:

x = -11

x = 11

Positive zero: 11

Answer:

510

Step-by-step explanation:

(0.68)750

shift decimal places

510.00

refine:510

Answer:

c

Step-by-step explanation:

Answer:

Divide and then multiply the smaller ratio to get an equal ratio to the first one

Step-by-step explanation:

It helps a lot with algebra

Answer:

 Dilate circle A by a scale factor of 3. 

Step-by-step explanation:

In order to show if two triangles are similar you have to translate and dialate one of the triangles to compare it to the other one. So A and D are not it. The formula for C is incorrect so therefore the answer is B. Also i took the test :D

Answer: [tex]138.24\ \text{square units}[/tex]

Step-by-step explanation:

Given

The scale factor of two similar hexagons is 5:12.

The smaller hexagon has an area of 24 square units

we know, the ratio of two similar figures is equal to the square of the scale factor.

Suppose the area of the larger hexagon is A

[tex]\therefore \dfrac{24}{A}=\left[\dfrac{5}{12}\right]^2\\\\\Rightarrow A=\left[\dfrac{12}{5}\right]^2\times 24\\\\\Rightarrow A=138.24\ \text{square units}[/tex]

Answer:

50.

Step-by-step explanation:

I hope that this helped!!!

Answer:

B

Step-by-step explanation:

Took the test on AP3X

Answer:

B. Number cube

Let even number = classical

Let odd number = pop

Rollcube three times. Repeat

Step-by-step explanation:

Test approved

Answer:

F. 625

Step-by-step explanation:

625 times 2

= 1256

round it to

= 1250

Hope this Helps

Have a nice day

Answer:

295 ft is the area of this shape

Answer:

15/182

Step-by-step explanation:

the 1st one is 5/14 and the 2nd one is 3/13

5/14*3/13 = 15/182

Answer:

Step-by-step explanation:

[tex]A=6\cdot7-\frac12\cdot4\cdot4-2\cdot(\frac12\cdot3\cdot3)=42-8-9=25[/tex]

Answer:

A. 72π m^3

Step-by-step explanation:

The radius of the cone would be half the diameter, or 6m.

The formula for the volume of a cone is:

V= (πr^2h) / 3

We can substitute what we have:

V = (π * (6)^2 * 6 )/ 3

V = (216 π) / 3

V = 72π m^3

Answer:

[tex]4x \times 448[/tex]

Step-by-step explanation:

A=

[tex]a = (x - 16)[/tex]

[tex]b = (3x + 28)[/tex]

So you add :

[tex]x \: and3x[/tex]

To get

[tex]4x[/tex]

Then you do :

[tex]16 \times 28[/tex]

To get :

[tex]448[/tex]

Answer is :

[tex]4x \times 448[/tex]

Answer:

96 dollars

Step-by-step explanation:

multiply 16 by 20% and get 3.2 so u add that with 16 and then multiply that by 5

Answer:

0.73

Step-by-step explanation:

cost per meter for a roll of paper = total cost / total meter of rolls sold

Supplier x = 18.98 / 25 = 0.76

Supplier y = 21.89 / 30 = 0.73

supplier z = 29.59 / 40 = 0.74

the lowest per unit cost is 0.73