The table below shows the number of people in a spinning class each day last week.
What is the mean number of people in a class?​

Answer:

Step-by-step explanation:

a. 4 outcomes as there are 4 different colours.

b. 3 ways - getting a blue green or yellow card.

#1

ac=6(-2)=-12

#2

#3

ac=-24

Answer:

(a)  [tex](2x-3)(x+2)[/tex]

(b)  [tex](5a-1)(2a+1)[/tex]

(c)  [tex](2c-3)(c+4)[/tex]

Step-by-step explanation:

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]

Part (a)

Given expression:  [tex]2x^2+x-6[/tex]

[tex]\implies ac=2 \cdot -6=-12[/tex]

Factors of -12 that sum to 1:  4 and -3

[tex]\implies 2x^2+4x-3x-6[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 2x(x+2)-3(x+2)[/tex]

Factor out common term [tex](x+2)[/tex]:

[tex]\implies (2x-3)(x+2)[/tex]

Part (b)

Given expression: [tex]10a^2+3a-1[/tex]

[tex]\implies ac=10 \cdot -1=-10[/tex]

Factors of -10 that sum to 3:  5 and -2

[tex]\implies 10a^2+5a-2a-1[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 5a(2a+1)-1(2a+1)[/tex]

Factor out common term [tex](2a+1)[/tex]:

[tex]\implies (5a-1)(2a+1)[/tex]

Part (c)

Given expression: [tex]2c^2+5c-12[/tex]

[tex]\implies ac=2 \cdot -12=-24[/tex]

Factors of -24 that sum to 5: 8 and -3

[tex]\implies 2c^2+8c-3c-12[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 2c(c+4)-3(c+4)[/tex]

Factor out common term [tex](c+4)[/tex]:

[tex]\implies (2c-3)(c+4)[/tex]

We can use the lateral surface area equation 2πrh. Assuming π = 3.14 we can plug all of the information into the equation to get 2 * 3.14 * 7 * 19.

multiplying everything you get 835.24, rounded to the nearest tenth is 835.2

Answer:

The answer is 8%

Step-by-step explanation:

Given,

Principle=Ra.2400

Time=3 years

Simple Interest= Rs.576

Rate=?

Now,

Rate=100*Simple Interest%P*T

=100*576%2400*3

=57600%7200

=8%

Therefore, the rate of Interest is

8%

(can you give me BRAINLIEST)

Answer: (2,-3)

Step-by-step explanation:

Answer:

9 and 11

Step-by-step explanation:

let two numbers be X and X+2

so

x+X+2=20

solve for X

x=9

x=20

Answer:

11 + 9 = 20

Step-by-step explanation:

Consecutive odd nymbers are odd numbers that follow each other.

think which two consecutive odd number when added will give 20.

odd numbers = 1 3 5 7 9 11 13 15 17 19

9 follows 11 and when added will equal 20

Answer: Please check the image below.

Answer:

Simply substitute the value of 3 given. In other words, f(3) is the function of f(x) , however, in this case, x is 3. f(3)=3(3)−4.

Answer:

the number = -23 because there are different ways to do this don't bother

Answer:

x = 1, y = -2

Step-by-step explanation:

Answer:

I CANT DO IT

Step-by-step explanation:

THE PICTURE IS BROKEN

The ordered pairs of the points F, G and H are their locations on the coordinate plane

The point F is above the line 1

The ordered pairs of the points are given as:

F = (0,7)

G = (6, 2)

H = (1,6)

The line is not given; so, I will provide a general explanation.

Of all the three ordered pairs, the point with the greatest y-coordinate is the point F.

This means that the point F can be above the line 1, while the other points G and H are below the line.

See attachment for the illustration of the line and the ordered pairs

Read more about ordered pairs at:

https://brainly.com/question/1090891

Answer:

The employers pay their employees based on hourly rates, commission and salary.

Step-by-step explanation:

The employees get their pay based on hourly rates that can range from a minimum hourly rate of say $12 per hour to any maximum figure like $40 per hour.

The final salary is based on the numbers of hours worked multiplied by the hourly rate.

Secondly, the pays are also commission based. That is your base salary plus the commission.

The salary is typical in management positions. These are not hourly based but a lump sum pay.

So, the correct answers are : commission, hourly pay and salary.

Answer:

Length=12 Width=6   AREA=72 (I think)

Step-by-step explanation:

yea... I didnt know  wut the equation was so my small brain did it manually

Answer:

Part 1) 150

Part 2) 6

Step-by-step explanation:

Part 1) All you have to do is multiply 30 by 5, since 30 is only 20% of the number and you have to get to 100%

30×5 = 150

Part 2) There are multiple ways of doing this, but the way I did it is 30 divided by 100 so you have the number of each percentage. Then you multiply that number by 20 since you are trying to get 20%

30÷100 = 0.3

0.3×20 = 6

Please give brainliest if I helped!

Answer: B

Step-by-step explanation:B because -3 + 5 is 2 and the line goes from -3 to 2

Answer:

the first one

Step-by-step explanation:

Answer:Option A is correct. (light blue color in the triangle choices)

Answer:

The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

Its base is an equilateral triangle of side length 2 m and height 1.7 m

The height of the prism is 3 m

∵ The surface are of the prism is:

  S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the equilateral triangle = 3 × length of a side

∵ The length of the side = 2 m

∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle =  × base × height

∵ The length of the base of the triangle = 2 m

∵ The height of the triangle = 1.7 m

∴ The area of the base =  × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

∵ The area of the base = 1.7 m²

∵ The height of the prism = 3 m

∴ S.A = 6 × 3 + 2 × 1.7

∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²

Answer:

Let x = son's age

Let 38-x = Mr. Bellini's age (since the sum of their ages must be equal to 38)

Set up the equation using the second statement:

(38 - x) - 4 = 5(x - 4)

Solving,

34 - x = 5x - 20

34 + 20 = 6x

54 = 6x

x = 9 years old (son's age)

38-x = 29 years old (Bellini's age)

[tex] \frac{1}{4} \times \pi \times ({radius})^{2} = \\ [/tex]

[tex] \frac{1}{4} \times \pi \times {12}^{2} = \\ [/tex]

[tex] \frac{1}{4} \times \pi \times 144 = \\ [/tex]

[tex] \frac{144}{4} \pi = \\ [/tex]

[tex]36\pi[/tex]

Answer:

Answer 10,006

Step-by-step explanation:

We are Multiplying.

Answer:

157.78

Step-by-step explanation:

Solve each shape individually

For the square, we are given both side lengths so multiply them to find its area

9.8 x 8.7 = 85.26m

For the triangle on the right, we know the base and height lengths, so multiply them and divide by two to find the area

9.8 x 7.2 = 70.56 / 2 = 35.28m

For the triangle on the left, we can find the base by subtracting the side length of the square from the length given on the bottom

16.3 - 8.7 = 7.6

We know the height for this triangle so multiply that by the number you just found and divide by two to find the area

9.8 x 7.6 = 74.48 / 2 = 37.24m

Finally add all of the areas found together to get the total area of the trapezoid

37.24 + 35.28 + 85.26 = 157.78

Answer:

1

Step-by-step explanation:

Any number divided by itself is always 1

a. The value of the definite integral [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

b.  The value of the definite integral [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

To answer the question, we need to know what definite integrals are.

These are integrals which are evaluated between two values of the variable.

[tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

Given that [tex]\int\limits^{10.5}_0 {f(x)} \, dx = 9, \int\limits^{3.5}_0 {f(x)} \, dx = 7 and \int\limits^{10.5}_7 {f(x)} \, dx = 3[/tex]

We require  [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex]

So,  [tex]\int\limits^{10.5}_0 {f(x)} \, dx = \int\limits^{3.5}_0 {f(x)} \, dx + \int\limits^7_{3.5} {f(x)} \, dx + \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

So,  [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

Substituting the values of the variables into the equation, we have

So,  [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

 [tex]\int\limits^7_{3.5} {f(x)} \, dx = 9 - 7 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = 2 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

So, [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = \int\limits^7_{3.5} 5{f(x)}\, dx - \int\limits^7_{3.5} 3\, dx\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = 5\int\limits^7_{3.5} {f(x)}\, dx - 3(7.5 - 3)\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= 5 X (-1 ) - 3 X 4.5 \\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= -5 - 13.5\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

So,  [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

Learn more about definite integrals here:

https://brainly.com/question/17074932

Answer:

Thus, option A is correct.

Explanation:

match the proportions

set up a equation:

[tex]\sf \dfrac{60}{100} = \dfrac{240,000}{x}[/tex]

[tex]\sf x = \$400,000[/tex]

Answer:

D

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula

Now we calculate the area;

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

Answer:

E. Point E

Step-by-step explanation:

First, you would move along the x-axis horizontally for 4½ units. Then, you move along the y-axis vertically for 5 units and land on point E.

I hope this helps.

yes

Step-by-step explanation:

After the point the first number of the first number is 0 while the second one is 1