In a class of pupils, 13 play the flute and
piano.
12 play the flute only.
3 play the piano only.
7 play neither instrument.
How many pupils are in the class?

Answer:

8727.30624 , this is the correct answer!

Answer: a=8727.30624

Step-by-step explanation:

Hope this helps :D

Answer:

4x+6+4x+6=180[straight line]

8x=180-12

x=168/8

x=21° is a required answer.

Answer:

What type of line the picture represent

Answer:

[tex]v = \frac{32\pi}{3}[/tex]

or

[tex]v=33.52[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x - x^2[/tex]

[tex]g(x) = x^2[/tex]

[tex][a,b] = [0,2][/tex]

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

[tex]\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx[/tex]

Integrate

[tex]v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx[/tex]

[tex]v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx[/tex]

Substitute values for a, b, f(x) and g(x)

[tex]v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx[/tex]

Evaluate the exponents

[tex]v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx[/tex]

Simplify like terms

[tex]v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx[/tex]

Factor out 8

[tex]v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx[/tex]

Integrate

[tex]v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0[/tex]

[tex]v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0[/tex]

Substitute 2 and 0 for x, respectively

[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])[/tex]

[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])[/tex]

[tex]v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ][/tex]

[tex]v = 8\pi [ \frac{16}{3} - \frac{16}{4} ][/tex]

Take LCM

[tex]v = 8\pi [ \frac{16*4- 16 * 3}{12}][/tex]

[tex]v = 8\pi [ \frac{64- 48}{12}][/tex]

[tex]v = 8\pi * \frac{16}{12}[/tex]

Simplify

[tex]v = 8\pi * \frac{4}{3}[/tex]

[tex]v = \frac{32\pi}{3}[/tex]

or

[tex]v=\frac{32}{3} * \frac{22}{7}[/tex]

[tex]v=\frac{32*22}{3*7}[/tex]

[tex]v=\frac{704}{21}[/tex]

[tex]v=33.52[/tex]

Answer:

Step-by-step explanation:

As,

In it there are three different terms x, 4y and 7 hence a trinomial, then there is a constant term 7.

Answer:

C. x + 4y+ 7

Step-by-step explanation:

Ape-x

Answer:

cncjdkgkejgksjckwjnviekfkwkckkdk kdkf

Answer:

145

Step-by-step explanation:

So lets recall what a supplementary angle is. A suppelemenatry angle is  two angles that make up 180 degrees.(half circle)

This is different from a complenenary angle with is two angles that make up 90 degrees(quarter circle)

Ok, so we can write the equation for the supplementary angle as:

35+b=180

Lets subtract the angle we knwo from both sides:

b=145

Now we know that B(second angle) must be equal to 145 degrees.

Hope this helps!

Answer:

Hello! if Chris garden is a square shape then the answer is 40 7/10 in fraction form or 40.7 in decimal form

Answer:

The new point is (-3,-1)

Step-by-step explanation:

yessir

Answer:

1/192

Step-by-step explanation:

So, lets go over what we know:

There are 24 different sections on the circle.

3 of them are 500$.

1 of them are lose a turn.

Now, to find the answer, here is what we have to remember.

There are two different things you work with when solving this area of geometry.

"and" and "or"

When they say "or", you have two seperate chances, these chances need to be added together.

When they say "and", like in this question, you have two chances in the same thing. These chances need to be multiplyied together.

If this is a bit confusing, think of this another way:

When "or" = add one chance from the other.

In this case:

3/24 + 1/24=4/24.

However, "and" = multiply one chance by the other.

In this case:

3/24*1/24 = 3/576

This question is using "and". So our answer is:

3/576

This can be simplyfied as:

1/192

So this is our answer!

Hope this isnt to confusing and helps! :D

Answer:

12

Step-by-step explanation:

A = [tex]\frac{a+b}{2\\}[/tex] h

= [tex]\frac{3+5}{2}[/tex] · 3

= 12 ft

I hope this help

Answer:

The volume is 25.1 cubic inches

Step-by-step explanation:

Given

[tex]r = 2[/tex] --- base radius

[tex]h = 2[/tex] --- height

Required

The volume (V) of the cylinder

This is calculated using:

[tex]V = \pi r^2h[/tex]

So, we have:

[tex]V = \frac{22}{7} * 2^2 * 2[/tex]

[tex]V = \frac{22}{7} * 4 * 2[/tex]

[tex]V = \frac{22* 4 * 2}{7}[/tex]

[tex]V = \frac{176}{7}[/tex]

[tex]V = 25.1[/tex]

Answer:

$6.22

Step-by-step explanation:

25.20

would be your answer!

9514 1404 393

Answer:

  +14, -3

Step-by-step explanation:

If x represents one of the numbers, then the equation can be written as ...

  x(11 -x) = -42

  x^2 -11x -42 = 0 . . . . quadratic equation whose solutions are the numbers

__

If we are to solve this by factoring, we look for factors of -42 that have a sum of 11 (the original problem). The factorization in integers can be any of ...

  -42 = 42(-1) = 21(-2) = 14(-3) = 7(-6)

The sums of these factor pairs are 41, 19, 11, 1. Clearly the numbers we're interested in are 14 and -3.

__

There are ways to solve quadratics that don't involve searching for integer factors by trial and error. A graphical solution is attached. The quadratic formula can also be used.

The solution to ax^2+bx+c = 0 is ...

  x = (-b±√(b^2-4ac))/(2a)

Then the solution to our quadratic is ...

  x = (-(-11)±√((-11)^2-4(1)(-42)))/(2(1)) = (11±√289)/2 = (11±17)/2

  x ∈ {-3, 14}

_____

Additional comment

When the solutions are integers, sometimes the easiest way to find them is to look for the factors of the product that have the correct sum. If the numbers are such that finding factor pairs is difficult or tedious, the more direct approach of graphing or using the quadratic formula may be preferred.

Answer: It’s B.

Step-by-step explanation: Got it on edge

Answer:

Answer: It’s B.

Got it on edge

Step-by-step explanation:

Got it right on edge

Answer: A

Step-by-step explanation: Hope this help :D

Answer:

The first one- 24, The second one-B

Step-by-step explanation:

The first one-Top corner=110, 110+46=156, 180-156=24

The other one-I have no clue how to explain it

Answer:

9. B 10. A 11. B 12. A

Step-by-step explanation:

use slope intercept form

Answer:

Hello! answer: 8

4 + 4 = 8

Hope that helps!

Answer: see below...

Step-by-step explanation:

Square units are when we are finding the surface area.

Since it is side x side, so ^2.

Cubic units are when we are finding the volume.

Since it is side x side x side, so ^3.

Answer:

Step-by-step explanation:

Unit rates are:

Brand A glue is cheaper, so is the better buy

Answer:

8 oz of Brand A glue costs $2.08

1 oz of Brand A glue costs $2.08×1/8=$0.26

6 oz of Brand B glue costs $1.62

1 oz of Brand B glue costs $1.62/6=$0.27

so..A is cheap.

8 oz of Brand A glue costs $2.08 is needed to buy.

Answer:

Option B ig

Step-by-step explanation:

hope it helps.. stay safe..✨

Answer:

Answer should be SAS( side angle side). According to me