B. 32

C. 44

D. 48

Answer:
Nadia surveyed 80 students at her school and found the following results:

=> 0.55 of the students she surveyed said their favorite class is math.

=> 15% of the students she surveyed reported that their favorite class is science.

Let's find out many more students in the survey prefer math over science?

MATH

=> 80 students * 0.55 = 44 students love math.

SCIENCE

=> 80 * .15 = 12 students love science

=> 44 - 12 = 32 students

B. 32

=> 0.55 of the students she surveyed said their favorite class is math.

=> 15% of the students she surveyed reported that their favorite class is science.

Let's find out many more students in the survey prefer math over science?

MATH

=> 80 students * 0.55 = 44 students love math.

SCIENCE

=> 80 * .15 = 12 students love science

=> 44 - 12 = 32 students

B. 32

Answer:

It would be Choice "B"

How do you identify the place of each dígito of 70,315

Substitute -2 into negative 2Y minus 8X equals six

Carl knows the required height of the volume of a cone-shaped vase he’s designing. Which formula can he use to determine the radius of the vase. Select the correct answer.A. r = V/ 3πh B. r = V /πh C. r = 3V/ πh D. r = ± /V πh

What are the amplitude, period, and midline of a function?

A 1-Rental charges $15 plus $6 per hour to rent a mini-loader, while BilJax charges $5 plus $8 per hour. When will the rentals companies charge the same amount? What is that amount?

Substitute -2 into negative 2Y minus 8X equals six

Carl knows the required height of the volume of a cone-shaped vase he’s designing. Which formula can he use to determine the radius of the vase. Select the correct answer.A. r = V/ 3πh B. r = V /πh C. r = 3V/ πh D. r = ± /V πh

What are the amplitude, period, and midline of a function?

A 1-Rental charges $15 plus $6 per hour to rent a mini-loader, while BilJax charges $5 plus $8 per hour. When will the rentals companies charge the same amount? What is that amount?

line 1

line 2

line 3

line 4

line 5

**Answer:**

recall that the slope, namely the average unit rate of change, is rise/run.

so, what's the slope for the function in the table? well, we can simply pick any two points and get it, or just use the first point rise of 8 and a run of 7, gives us a slope of 8/7 or 1⅐.

now, let's take a peek at the lines, they all have a "rise" of 6, notice they're all lying on the y = 6 line horizontally.

1)

rise = 6, run = 2, slope 6/2 = 3.

well, 3 is more than 2, so no that one.

2)

rise = 6, run = 3, slope = 6/3 = 2.

well 2 = 2, so no that one either.

3)

rise = 6, run = 4, slope 6/4 = 3/2.

3/2 is actually larger than 8/7 and less than 2, you can check. so ✔

4)

rise = 6, run = 5, slope = 6/5.

6/5 or 1⅕ is more than 8/7, and is clearly less than 2, so ✔

5)

rise = 6, run = 6, slope = 6/6 = 1.

well, needless to say 1 is less than 2 but is less than 8/7, recall 8/7 is actually 1⅐.

**Answer:**

line 3 and 4

**Step-by-step explanation:**

Answer: p/6

p divided by 6 is p/6

The expression p/6 can't be simplified anymore unless you know the value of p

p divided by 6 is p/6

The expression p/6 can't be simplified anymore unless you know the value of p

p divided by 6 cant work because you don't know the the p is p so the answer would be p/6

To find the equation of a **line tangent** to the given curve, we need to find the **derivative** of the curve at the point of tangency and substitute the x-coordinate of the point of tangency to find the slope. The equation of the tangent line with 0 slope and y-intercept of 8 is y = 8.

To find the **equation** of a line tangent to a curve, we need to find the derivative of the curve at the point of tangency.

The given curve is **y = 4x² + 1** (equation 1).

First, find the derivative of equation 1, which gives us dy/dx = 8x (equation 2).

Next, substitute the x-coordinate of the point of tangency into equation 2 to find the slope of the tangent line.

Since the line cuts the y-axis at (0,8), the x-coordinate of the point of tangency is 0.

Substituting x=0 into equation 2, we get the slope of the tangent line as m = 8(0) = 0.

The equation of a line in the form y = mx + c, where m is the slope and c is the y-intercept.

Since the slope of the tangent line is 0, the equation of the tangent line is y = 0x + c. And since the line cuts the y-axis at (0,8), the y-intercept is 8.

Therefore, the equation of the tangent line is **y = 8.**

#SPJ3

A generic point on the graph of the curve has coordinates

The derivative gives us the slope of the tangent line at a given point:

Let k be a generic x-coordinate. The tangent line to the curve at this point will pass through and have slope

So, we can write its equation using the point-slope formula: a line with slope m passing through has equation

In this case, and , so the equation becomes

We can rewrite the equation as follows:

We know that this function must give 0 when evaluated at x=0:

This equation has no real solution, so the problem looks impossible.

There are 7 interior angles

A)range

B)mean

C)median

D)mode

The **range **will **not **beaffected. Then the **correct **option is **A**.

**Statistics **is the study of **collection**, analysis, interpretation, and presentation of data or to **discipline **to collect, and **summarise **the data**.**

For the **set **{1, 1, 2, 4, 5, 6, 7, 8, 10}.

The **range **of the data set will be

Range = 10 - 1 = 9

If **another **value of 10 was **included**.

Then the new **set **will be {1, 1, 2, 4, 5, 6, 7, 8, 10, 10}.

The **range **of the **new data **set will be

Range = 10 - 1 = 9

Then the **range **will **not **beaffected.

The **range **of the data setwill be 9. **Because **the range is the **difference **between the **larger **number and to the **least **number.

Then the **correct **option is **A**.

More about the **statistics **link is given below.

#SPJ2

**Answer:**

A) Range

**Step-by-step explanation:**

The original mean would be 4.889. But when you add another 10 to the set, the mean becomes 5.400.

The original mode would be 1, because there are two 1's and only one of every other number. But when adding another 10 the the original set, you end up with two 10's so now the mode is 1 and 10.

The median changes from 5 to 5.5

So the answer has to be range.

3 bags total 22 and 1/2

bag1+bag2+bag3=22 and 1/2

two of the bags weight 6 and 3/8 and 3 and 1/4 so just assign them random bags

bag1=6 and 3/8

bag2=3 and 1/4

subsitute

6 and 3/8+3 and 1/4+bag3=22 and 1/2

we have to add them by making the bottom number same

6 and 3/8+3 and 1/4

common one is 8

6 and 3/8+3 and 2/8

6+3/8+3+2/8

9+5/8

9 and 5/8+bbag3=22 and 1/2

subtract 9 and 5/8 from both sides

bag3=22 and 1/2-9 and 5/8

bag3=22+1/2-9-5/8

bag3=22+4/8-9-5/8

bag3=21+8/8+4/8-9-5/8

bag3=21+12/8-9-5/8

bag3=21-9+12/8-5/8

bag3=12+7/8

bag3=12 and 7/8

answe ris 12 and 7/8 pounds

bag1+bag2+bag3=22 and 1/2

two of the bags weight 6 and 3/8 and 3 and 1/4 so just assign them random bags

bag1=6 and 3/8

bag2=3 and 1/4

subsitute

6 and 3/8+3 and 1/4+bag3=22 and 1/2

we have to add them by making the bottom number same

6 and 3/8+3 and 1/4

common one is 8

6 and 3/8+3 and 2/8

6+3/8+3+2/8

9+5/8

9 and 5/8+bbag3=22 and 1/2

subtract 9 and 5/8 from both sides

bag3=22 and 1/2-9 and 5/8

bag3=22+1/2-9-5/8

bag3=22+4/8-9-5/8

bag3=21+8/8+4/8-9-5/8

bag3=21+12/8-9-5/8

bag3=21-9+12/8-5/8

bag3=12+7/8

bag3=12 and 7/8

answe ris 12 and 7/8 pounds

First, you change 6 3/8 and 3 1/4 to a common denminator. 8

6 3/8= 6 3/8

3 1/4= 3 2/8 (x2)

Then add those.

6 3/8+ 3 2/8 = 9 5/8

Then subtract 22 1/2 and 9 5/8. (Common denominator)

22 1/2= 22 4/8 (x4)

9 5/8= 9 5/8

the 3rd bag is 12 7/8 lbs.

You can also add each bag (lbs) to see if it gets to 22 1/2

Hope this helps!

6 3/8= 6 3/8

3 1/4= 3 2/8 (x2)

Then add those.

6 3/8+ 3 2/8 = 9 5/8

Then subtract 22 1/2 and 9 5/8. (Common denominator)

22 1/2= 22 4/8 (x4)

9 5/8= 9 5/8

the 3rd bag is 12 7/8 lbs.

You can also add each bag (lbs) to see if it gets to 22 1/2

Hope this helps!