What is the answer ?

Question has a slight error .we should find n(A[tex]\cap[/tex]B)

[tex]\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=12+9-16[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=5[/tex]

[tex]Question \: in \: comments[/tex]

Step-by-step explanation:

[tex] \frac{ - 21}{3} - \frac{11}{2} [/tex]

[tex] \frac{ - 21 \times 2 - 11 \times 3}{6} [/tex]

[tex] \frac{ - 42 - 33}{6} [/tex]

[tex] \frac{ - 75}{6} [/tex]

[tex]12.5[/tex]

Answer:

(a+b+c)(x+y+z)

Each term is multiplied by the same value

Step-by-step explanation:

a (X+y+z) + b(x+y+z)+c(x+y+z)

=ax+ay+az+bx+by+bz+CX+cy+cz

=x(a+b+c) + y(a+b+c) + z(a+b+c)

=(x+y+z) (a+b+c)

Answer:

13 + 110 is 1330 is the answer

1/3 + 1/10

= 10/30 + 3/30

= 13/30

Answer:

9x^2 -2x+8

Step-by-step explanation:

( 9x^2 -5x) - ( -3x -8)

Distribute the minus sign

( 9x^2 -5x) +3x +8

Combine like terms

9x^2 -2x+8

The x^2 should be positive and you have it as negative

Answer:

Their is not supposed to be a negative sign infront of the 9x

Step-by-step explanation:

Answer:

342 hours

Step-by-step explanation:

114 x 2 = 228

228 + 114 = 342

114 hours fishing

228 hours swimming

Hope this helps, please leave any questions in the comments. Thanks

Answer:

A

Step-by-step explanation:

As the sum of angles should be 0 for a straight line, 3x+8x-20+90=180, 3x+8x-20=90

Answer:

first

3x + (8x - 20) = 90

.......

Answer:

[tex] \cos(2A) = { \cos }^{2} A - { \sin }^{2} A \\ = { \cos }^{2} A - \frac{1}{ \csc {}^{2} A} \\ \\ = \frac{( { \cos}^{2} A. \csc {}^{2}A ) - 1}{ { \csc }^{2} A} \\ \\ = \frac{( \frac{ { \cos}^{2}A }{ { \sin }^{2} A}) - 1 }{ { \csc }^{2} A} \\ \\ = \frac{ { \cot}^{2}A - 1 }{ { \csc}^{2} A} [/tex]

but csc²A = cot²A + 1:

[tex] = \frac{ { \cot}^{2}A - 1 }{ { \cot }^{2}A + 1 } [/tex]

# proved

Answer:

9

Step-by-step explanation:

[tex]\frac{2\frac{1}{4}}{4} = 9[/tex]

(2 1/4) / 4 = 9

Hope it helps,... Chow,...!

Answer:

Step-by-step explanation:

Imaginary. Imaginary numbers are numbers whose squares are negative. They are the square root of minus one, i = √−1, and all real number multiples of i, such as 2i and i√2.

The required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.

To determine from the options the set of imaginary numbers.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
imaginary number are the number such square root of negative numbers,
So, the set of imaginary numbers is  √-1, √-4, √-5.
While all other set are given are not set of imaginary numbers.

Thus, the required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.

Learn more about the number system here:

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Answer:

9604

Step-by-step explanation:

V = (7/3)³ × 756

= 343/27 × 756

= 9604 ft³

Answer:

Hi,

Step-by-step explanation:

Using Al's kashi theorem,

diag²=9²+23²-2*9*23*cos(80°)=538,109654....

diag=23,197190... (ft)

Answer:

B is not a function

Step-by-step explanation:

The vertical line would touch the parabola 2 times.

Answer:

x=2

Step-by-step explanation:

6x + 2 = 14

Subtract 2 from each side

6x+2-2 = 14-2

6x= 12

Divide by 6

6x/6 = 12/6

x=2

Answer:  x=2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

this is the answer because both sides are parallel

when on a graph

Answer:

Step-by-step explanation:

14 - k + 3k - 6

= 14 - 6 - k + 3k

= 8 + 2k (Ans)

Answer:

2k+8

Step-by-step explanation:

I did combine like terms hope this was helpful

The multiplicative inverse is 1 / (4c + 5).

In mathematics, the multiplicative inverse of a number is the reciprocal of that number. In other words, if we have a non-zero number "a", then its multiplicative inverse is the number "1/a", which when multiplied by "a" gives the product of 1.

The multiplicative inverse of a number a is the number that when multiplied by a gives the product of 1. In other words, if a is not equal to 0, the multiplicative inverse of a is 1/a.

In this case, we are given that 4c + 5 is not equal to 0. Therefore, the multiplicative inverse of 4c + 5 is:

1 / (4c + 5)

So, the correct answer is 1 / (4c + 5).

To know more about multiplicative inverse follow

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Answer:

Reflecting across the x-axis looks like this: -g(x)

A negative on the outside of the function.

So your answer may be

-|x|

Answer:

Hello,

Step-by-step explanation:

[tex]A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\[/tex]

Answer:

(Work below)

BRAINLIEST, PLEASE!

Step-by-step explanation:

A(1, 2) B(0, -1) C(3, -2)

The distance between A and B is:

3^2 + 1^2 = c^2

9 + 1 = c^2

c = 10^1/2

The distance between B and C is:

1^2 + 3^2 = c^2

1 + 9 = c^2

c = 10^1/2

The distance between C and A is:

4^2 + 2^2 = c^2

16 + 4 = c^2

c= 20^1/2

Since AB and BC are the same, but AC isn't, the triangle is isosceles.

Answer:

y = -1/14x - 20/7

Step-by-step explanation:

An equation consists of y = mx + b.

- When a line is perpendicular, the slope becomes the opposite.

14 = -1/14

- Now, that we have the slope, all we need to do is find the y-intercept/b.

y = -1/14x + b

-3 = -1/14(2) + b

-3 = -1/7 + b

-20/7 = b

The fraction that is equal to 0.375 is 3/8.

Hope this helps! :)

Answer:

$1790.84

Step-by-step explanation:

The investment will have value of 1000*(1+0.06)^10=1790.84 in 10 years

Step-by-step explanation:

all you needed to do was a quick search on the internet : "volume of a cone".

and you get immediately :

pi×r²×h/3

the reason is similar to all other volume formulas : base area times height. for pyramids and cones there are factors included to reduce this a bit, because they simply don't go straight up from their base area, so they have less volume than comparable objects that do go straight up (like a cylinder compared to a cone).

r = radius

h = height

so, for a) we only need to use the calculator :

pi × 5² × 30 / 3 = pi×25×10 = 785.4 ≈ 785 m³

for b) we need to do the same thing, but with r = 10 and h = 60.

pi × 10² × 60 / 3 = pi×100×20 = 6283.2 ≈ 6283 m³

so, for c) we only need to subtract the result of a) from the result of b)

the frustum is the volume of the large cone minus the volume of small, top cone.

6283 - 785 = 5498 m³

Answer:

C

Step-by-step explanation:

-3 is the y intercept, where the line crosses the y axis

-2.666667 is the slope, rise over run

Answer:

1/50000

please mark as brainliest thanks!

Answer:

-12

Ydbzushsbsksjsbsksudjeke

Step-by-step explanation:

If the variable is n, then

(13×n)-5

13n-5

Answer:

13n - 5

Step-by-step explanation: