Simplify the expression with nested parentheses.
430+ 26+6−33

Answer:

-3y

Step-by-step explanation:

-15(y2)4 ÷5y3y4

Rewrite the division as a fraction

-15(y2)4

 5y3y4

Multiply y3 by y4 by adding the exponents

-5(y2)4

  5y7

Cancel the common factor of -15 and 5

-3(y2)4

  y7

Multiply the exponents in (y2)4

-3y8

 y7

Cancel the common factor of y8 and y7

Factor y7 out of -3y8

y7(-3y)

 y7

Multiply by 1

y7(-3y)

 y7 × 1

Cancel the common factor which is y7 and y7

Rewrite the expression

-3y

 1

Divide -3y by 1

-3y

Answer:

D

Step-by-step explanation:

The equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58

The given parameters are:

Start by calculating the radius using:

r^2 = (x -a)^2 +(y - b)^2

So, we have:

r^2 = (0 -3)^2 +(-6 - 1)^2

Evaluate

r^2 = 58

The circle equation is then calculated using:

(x -a)^2 +(y - b)^2 = r^2

This gives

(x -3)^2 +(y - 1)^2 = 58

Hence, the equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58

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Answer:

12+6.25pi= 31.63495408 Ft squared

Step-by-step explanation:

Area of each individual triangle is 3 by 4 by 1/2

Area of each semicircle is 1/2 2.5 ^2 pi

Answer:

-160 or in alternative form -1.6x10[tex]{2}[/tex]

Step-by-step explanation

1600 divide -10 equals to -160

Answer:

Hence, 6 = 3 ans.

Step-by-step explanation:

hope it's help

Answer:A

Step-by-step explanation:

When you translate you are simply moving the shape up, down, left right. You are not rotating it or chanding it's orientation.

Answer: the answer is B

Step-by-step explanation: B because it would’ve reflected off of the 1st quadrant on a grid so it would be facing the opposite direction.

Answer:

$2

Step-by-step explanation:

20lb divided by $10.

20 divided by 10 is 2

Answer:

x = 20

z = 87

Step-by-step explanation:

Suplementary angles:

9x - 87 + 87 = 180

9x = 180

x = 20

Vertical angles:

z = 87

Answer:

z=87    x=20

Step-by-step explanation:

z=87 because vertical angles are congruent

87x2=174

360-84 =186

186/2=93    (the other 2  vertical angles are 93 each)

9x-87 =93

9x=180

x=20

The mean height for each sample from the basketball team will be 79, 77.5, 79, 78.5, 80, and 78.5

For sample 1, the mean will be:

= (78 + 80)/2 = 79.

For sample 2, the mean will be:

= (78 + 77)/2 = 77.5

For sample 3, the mean will be:

= (78 + 80)/2 = 79

For sample 4, the mean will be:

= (80 + 77)/2 = 78.5

For sample 5, the mean will be:

= (80 + 80)/2 = 80

For sample 6, the mean will be:

= (77 + 80)/2 = 78.5

When the sample size was increased to n = 3, the shape of the sampling distribution becomes bell shaped on the population mean.

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Answer:

Step-by-step explanation:

The total possble combinations = 5 * 5 = 25 ways.

The number of ways to get exactly 12

= 2,10  3,9  4,8  5,7  = 4 ways.

The ways to get > 12

= 3,10  4,9  4,10  5,8  5,9  5,10  =  6 ways.

So the number of ways to get < 12 = 25 - 4 - 6 = 15 ways.

Expected value

= 4(0) + 6(x) + 15(-6)

I have written x as you have not said how much he gets if he wins.

Answer:

−$2.40

Step-by-step explanation:

correct on khan

Answer:

a total of 11700 senconds are on 3.25 hours

Answer:

First know the formula for the area of a circle;

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.

For the first problem, we can see that 12 is our diameter.

And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;

D/2 = R

Replace with actual values;

12/2 = 6, 6 is our radius.

Now we plug this into our formula:

A = π[tex]r^{2}[/tex]

A = 3.14(6^2)

A = 3.14(36)

A = 113.04 centimetres is the area of the circle.

For the second problem, we can see that 18 is our diameter.

And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.

So;

D/2 = R

18/2 = 9, 9 is our radius.

Now we plug this into our formula:

A = π[tex]r^{2}[/tex]

A = 3.14(9^2)

A = 3.14(81)

A = 254.34 inches is the area for this circle.

For the third problem, we can see that our radius is already given, 5.

So now we just simply and easily plug this into our formula;

A = π[tex]r^{2}[/tex]

A = 3.14(5^2)

A = 3.14(25)

A = 78.5 meters is the area for this circle.

Answer:

The given quadratic expression can be factored as (2x - 3)(x + 1).

So  x + 1 = x - m ⇒ m = -1.

Step-by-step explanation:

Answer:

I hope this helps, you can ask any questions for clarification

Answer:

Correct answer is the first one I think. hope this helps

Answer:

D. 36

Step-by-step explanation:

The formula for a combination :

Here we have ⁹C₇.

There are 36 different ways to arrange ⁹C₇. Therefore, the correct answer is option D.

Given that, ⁹C₇.

The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

⁹C₇ = 9!/7!(9-7)!

= 9×8×7!/7!×2!

= 9×8/2×1

= 9×4

= 36

Therefore, the correct answer is option D.

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Answer:

12,926

Step-by-step explanation:

23 x 562 = 12,926

Answer:

17

Step-by-step explanation:

...................

answer:

178.5398mm²

explanation:

attached

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The value of x from the given figure is 8

A triangle is a 2-dimensional shape with 3 sides an interior angle

Since the sum of the interior angles of a triangle is 180 degrees, hence;

8x - 4 + 76 + 44 = 180

8x + 116 = 180

8x = 180 - 116

8x = 64

x = 64/8

x = 8

Hence the value of x from the given figure is 8

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Answer:

I believe its b

Step-by-step explanation:

Answer:

B I think or C or D or it could be A

The answer to this question is D 2/4

Answer:

see explanation

Step-by-step explanation:

(3)

Parallel lines have equal slopes

the equation of a line in sloipe- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{4}[/tex] x + 5 ⇒ m = [tex]\frac{1}{4}[/tex]

y = 4x + 5 ⇒ m = 4

y = - 4x + 5 ⇒ m = - 4

y = - 4x - 9 ⇒ m = - 4

the 3rd and 4th options have equal slopes and are parallel

(4)

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]

y = [tex]\frac{1}{6}[/tex] x + 4 ⇒ m = [tex]\frac{1}{6}[/tex]

y = - [tex]\frac{1}{6}[/tex] x + 5 ⇒ m = - [tex]\frac{1}{6}[/tex]

y = [tex]\frac{1}{6}[/tex] x + 3 ⇒ m = [tex]\frac{1}{6}[/tex]

y = 6x + 3 ⇒ m = 6

note that a slope of m = 6 , has a perpendicular slope of

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{6}[/tex]

the 2nd and 4th lines are perpendicular

Answer:C is the right answer

Step-by-step explanation:

Answer:

4x+7=3x+7

Step-by-step explanation:

-3(2x-5)=15-6x is infinite solution

top left is x=-3

top right is x=5 5x

Answer:

X over y or x/y since y is claire and she skated more

Step-by-step explanation:

since y is claire and she skated more

Y=Clarie skated

X= Mai skated

[tex]\textit{Cofunction Identities} \\\\ sin\left(\theta-\frac{\pi}{2}\right)=-cos(\theta) \qquad\qquad cos\left(\theta-\frac{\pi}{2}\right)=+sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan\left(\frac{x}{2}~~ - ~~\frac{\pi }{2} \right)~~ = ~~\sqrt{2}\qquad \qquad \qquad \stackrel{\textit{let's make for a second}}{\cfrac{x}{2}=\theta } \\\\[-0.35em] ~\dotfill[/tex]

[tex]tan\left(\theta-\frac{\pi}{2}\right)\implies \cfrac{sin\left(\theta-\frac{\pi}{2}\right)}{cos\left(\theta-\frac{\pi}{2}\right)}\implies \cfrac{-cos(\theta )}{+sin(\theta )}\implies -cot(\theta )\implies -cot\left( \frac{x}{2} \right)[/tex]

[tex]-cot\left( \frac{x}{2} \right)~~ = ~~\sqrt{2}\implies cot\left( \frac{x}{2} \right)=-\sqrt{2} \\\\\\ cot^{-1}\left[ cot\left( \frac{x}{2} \right) \right]=cot^{-1}\left(-\sqrt{2} \right)\implies \cfrac{x}{2}=cot^{-1}\left(-\sqrt{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=2\left[ cot^{-1}\left(-\sqrt{2} \right) \right]~\hfill[/tex]