How could you rewrite 91 million as the product of a number and a power of 10?

Answer:

The correct answer is "Option C".

Step-by-step explanation:

Given:

[tex]\bold{ 1) y= -\tan (x- \frac{\pi}{2})}\\\\\bold{ 2) y= \tan (x+ \frac{\pi}{2})}\\\\\bold{ 3) y= -\cot (x- \frac{\pi}{2})}\\\\\bold{ 4) y= \cot (x+ \frac{\pi}{2})}\\\\[/tex]

solve the above equation:

[tex]\Rightarrow 1) \ y= -\tan (x- \frac{\pi}{2})\\\\\Rightarrow \ y= \tan (\frac{\pi}{2}-x)\\\\\Rightarrow \ y= \cot x \ \ \ \ \ \bold{ that \ matchs \ graph \ D}\\\\ \Rightarrow 2) \ y= \tan (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= - \cot x \ \ \ \ \bold{ that \ matchs \ graph \ A}\\\\[/tex]

[tex]\Rightarrow 3) \ y= -\cot (x- \frac{\pi}{2})\\\\\Rightarrow \ y=\cot ( \frac{\pi}{2}-x)\\\\\Rightarrow \ y=\tan x\ \ \ \ \bold{that \ matchs \ graph \ C}\\\\[/tex]

[tex]\Rightarrow 4) \ y= \cot (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= \cot (\frac{\pi}{2}+x)\\\\\Rightarrow \ y= \ -tan x \ \ \ \ \ \bold{ that \ matchs \ graph \ A}[/tex]

The final answer is "Option C".

Answer:

c

Step-by-step explanation:

Answer:

it is B

Step-by-step explanation:

the answer is B you have to start wit rearrange the equations

Answer:

D x>-3

Step-by-step explanation:

3(-x+2) < 15

-3x + 6< 15 (Subtract 6 from both sides)

-3x < 9 (Divide 3 on both sides)

x>-3 (Flip the inequality because the variable was negative)

Answer:

Step-by-step explanation:

y - 5 = 3(x+ 2)

y - 5 = 3x + 6

y = 3x + 11

Answer:

p = -2

Step-by-step explanation:

(2p -1)/5 = (p-1)/3

Using cross products

(2p-1) *3 = (p-1)*5

Distribute

6p-3 = 5p -5

Subtract 5p from each side

6p-5p -3 = 5p-5p -5

p -3 = -5

Add 3 to each side

p-3+3 = -5+3

p =-2

Answer:

he needs 12.50 left

Step-by-step explanation:$62.50-$50

Answer:$12.50

Step-by-step explanation: This is a simple subtraction problem. You take the amount of the DVD player ( which is $62.50 ) and subtract the amount of money Jack has on him ( which is $50 ).

$62.50 - $50.00 = $12.50

Answer:

Equation of a circle:

radius = the sq. rt of (x - h)^2 + (y - k)^2

Plug in the values for the center of a circle and the radius:

15 = the sq. rt of (x + 9)^2 + (y + 4)^2

(x + 9)^2 + (y + 4)^2 = 225

The answer is A or the first one.

Answer:

64 ft squared.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

If the mean is 4 then the missing number will be 2.

The mean is the average of all the data values present in the data set.

Mean=sum/number

Let the missing number be x in this way mean will be

(1+9+x)/3=4

10+x=12

x=2

Hence if mean is 4 then the missing number will be 2.

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Answer:

x³+4x²-9

Step-by-step explanation:

x+3=0

x=-3

put x=-3 into x³+4x²-9, if it is equal to zero then it is dividsble

so, (-3)³+4(-3)-9=0

so a is correct

The polynomial A(x) is divisible by (x+3).

A factor is a number or expression that divides another number or expression  leaving no remainder.

If p(x) be the polynomial, then p(x) is divisible by q if q is the factor of p(x).

According to the given question

we have different polynomials

[tex]A(x) = x^{3} +4x^{2} -9[/tex]        

When we divide A(x) by (x+3) we get remainder 0.

⇒ (x+3) is a factor of A(x).

Hence, the polynomial  A(x) is divisible by (x+3).

[tex]B(x) = x^{3} -22 -18[/tex]

⇒ [tex]B(x) = x^{3} -30[/tex]

When we divide B(x) by (x+3) we get remainder -57.

⇒ (x+3) is not a factor of B(x)

Hence, the polynomial B(x) is not divisible by (x + 3).

[tex]C(x) =x^{3} -6x -9[/tex]

By dividing C(x) by (x +3)  we get remainder -18

⇒ (x+3) is not a factor of C(x).

Hence, C(x) is not divisible by (x+3).

[tex]D(x) = x^{3} + 3x + 3[/tex]

By dividing  D(x) by (x+3), we get remainder -33.

⇒ (x+3) is not a factor of D(x).

Hence, D(x) is not divisible by (x+3).

Thus, the polynomial A(x) is divisible by (x+3).

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Answer: | t- 98.6 | ≤ 3

Temperatures less than  95.6 and higher than 101.6 will be considered unhealthy.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality

.

| t- 98.6 | ≤ 3

Where t is the body temperature.

The absolute value inequality has 2 solutions:

1st solution

t-98.6≤ 3

t ≤ 3+98.6

t≤ 101.6

2nd solution

-(t-98.6) ≤ 3

-t+98.6 ≤ 3

98.6-3 ≤ t

95.6≤ t

Both:

95.6≤ t ≤ 101.6

Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.

Answer:

x = 13

Angle 1 = 150 degrees

Angle 8 = 30 degrees

Step-by-step explanation:

11x + 7 + x + 17 = 180

12x + 24 = 180

12x = 180 - 24

12x = 156

x = 13

11(13) + 7 = 150

(13) + 17 = 30

The co-interior angles are solved and x = 13

The measure of angle 1 = 150°

The measure of angle 1 = 30°

Given data:

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line.

Alternate angles are equal

Corresponding angles are equal

Co-interior angles add up to 180°

The angles 1 and 8 are co-interior angles.

So, 11x + 7 + x + 17 = 180

12x + 24 = 180

12x = 180 - 24

12x = 156

x = 13

So, the measure of angle 1 = 11(13) + 7 = 150°

The measure of angle 8 = (13) + 17 = 30°

Hence , the parallel lines are solved.

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The complete question is attached below:

In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to and the measure of angle 1 is degrees. The measure of angle 8 is degrees.

Answer:

1300cm

Step-by-step explanation:

1 meter has 100cm, so 13 meters is 13 * 100cm = 1300cm

Answer:

(6,0)

Step-by-step explanation:

First, let's find the line. We can do that by using the slope-intercept form of a line which is y = mx + b where m and b are the slope and y-intercept respectively. We know b = -18 and we can find m by doing (-18 - 6) / (0 - 8) = -24 / -8 = 3. Therefore, the equation of the line is y = 3x - 18. To find the x-intercept, we'll set y equal to 0. We get 0 = 3x - 18 → 3x = 18 → x = 6. Therefore, the x-intercept is (6,0). Hope this helps!

Answer:

X= 6

Step-by-step explanation:

Do the opposite instead of addition do subtraction to get x

25 minus 19

Answer:

4 cm

Step-by-step explanation:

V=L×W×H

V=1 litre = 1000 cm³

H= V/LW

1000/(12.5×20)=4

height= 4cm

Answer: I got this hope this helps

(-y)(-3x)+14

Step-by-step explanation:

Answer:

She should have added 3, not subtracted 3, to both sides

Step-by-step explanation:

this problem calls for the inverse of operations

[tex]x-3=7\\\\\\3+x-3=7+3\\\\x=10[/tex]

Answer:

She should have added 3, not subtracted, to both sides

Step-by-step explanation:

You're trying to get X by itself and to do that you need to add 3 to cancel out the -3.

Answer:

b = 6

Step-by-step explanation:

y = 2x = + b

6 = 2 ×(0) + b

b = 6

Answer:

80 units

Step-by-step explanation:

Area of trapezoid: a+b/ 2 * H

a = top, b= bottom, H = height

6+14/2 * 8

20/2 *8

10*8

80

Answer:

20

Step-by-step explanation:

To find area using coordinates, you would take the y-value of the first coordinate and the x-value of the second coordinate and multiply them. Then, take the x-value of the first coordinate and multiply it with the second y-coordinate. Take the second number and subtract it from the first number. for multiple coordinates, you would multiply the first and the second, the second and the third, and so on. Once you reach the last coordinate, just multiply it by the first again. then, take all of the numbers, from multiplying your coordinates and add them together and divide them by 2 to find your area.

We would start with coordinate (8,1) here because it's letter variable is W, which is first of the others alphabetically.

(8,1) (1,1)

1 x 1 = 1

8 x 1 = 8

1 - 8 = -7

next coordinate:

(1,1) (2,5)

1 x 2 = 2

1 x 5 = 5

2 - 5 = -3

next:

(2,5) (5,5)

5 x 5 = 25

2 x 5 = 10

25 - 10 = 15

next:

(5,5) (8,1)

5 x 5 = 40

5 x 1 = 5

40 - 5 = 35

-7 - 3 + 15 + 35 = 40

40/2 = 20

Answer:

8x6=48+10=98 answer is 98 i think

Step-by-step explanation:

Answer:

Tyler should be suggested to deposit his money in Compound interest because it compound the interest for all the Successive years which give more interest then Simple interest

Answer:

compound interest

Step-by-step explanation:

Hope it helps.

Answer:

5 track practices

Step-by-step explanation:

So if he ran 8 miles in 4 track practices, he ran 2 miles in each.

So it would take 5 track practices to do it.

Answer:

x = 2

Step-by-step explanation:

5x - 2 = 10 - x

Add x to both sides

6x - 2 = 10

Add 2 to both sides

6x = 12

Divide both sides by 6

x = 2

The answer would be B.

46

-67

-------

-21

I checked my math.

Answer: A.  46 - n = -21

n=67

Step-by-step explanation:

edge

Answer:

So we can first use the distance formula which is for 2 dimensional but seen as we're in 1 dimensions we dont have to use it. So we can just get the distance between them using a formula I made -

|a-d| = distance

So if we use that formula we can get that -7-(-2) = -7+2 = -5. Then take the absolute value which is 5.

Therefore the answer is

Pascal's triangle up to the 5th iteration is

[tex]\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\end{array}[/tex]

This tells us

[tex](x-2)^5=\boxed{1}x^5(-2)^0+\boxed{5}x^4(-2)^1+\boxed{10}x^3(-2)^2+\boxed{10}x^2(-2)^3+\boxed{5}x^1(-2)^4+\boxed{1}x^0(-2)^5[/tex]

so the second term in the expansion is

[tex]5x^4(-2)^1=\boxed{-10x^4}[/tex]