NR is a diameter of circle O. What is the measure of arc PQ?

Answer:

Yes, (0,0) is a solution

Step-by-step explanation:

y > 2x - 8

0 > 2(0) - 8

0 > 0-8

0 > -8

This is a true statement so (0,0) is a solution.

Helping in the name of Jesus.

The volume of the solid obtained by rotating the region bounded by the given curves about the specified line is 16π/3 unit³.

First, we need to find the radius of each disk. The radius is the distance from the curve to the line of rotation. In this case, the line of rotation is y=5, so the radius is 5-(1-x^2) = 4+x^2.

Next, we need to find the area of each disk. The area of a disk is πr^2, so the area of each disk is π(4+x^2)^2.

Finally, we need to integrate the area of each disk from the lower bound to the upper bound. The lower bound is the smallest x-value of the region, which is -1, and the upper bound is the largest x-value of the region, which is 1. So, we need to integrate π(4+x^2)^2 from -1 to 1.

∫[π(4+x^2)^2]dx from -1 to 1 = π∫(16+8x^2+x^4)dx from -1 to 1 = π[(16x+8/3x^3+x^5/5)] from -1 to 1 = π[(16+8/3+1/5)-(16-8/3+1/5)] = π(16/3) = 16π/3

So, the volume of the solid obtained by rotating the region bounded by the given curves about the specified line is 16π/3 unit³.

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Answer:

domain= [-5,5]

range= [-3,3]

Step-by-step explanation:

the domain is with the x axis you have to look for the farthest x axis which would be - 5 in this case and the closest axis which is 5 so the x can be anywhere between - 5 and 5

then for the range is with the y axis you would look for the farthest y axis which is - 3 and the closes which is 3 so the y can be anywhere in between - 3 and 3

Answer:

x=-pie/12

sinxcosx=-1/4

multiply both sides by 2

sin2x = 2sinxcosx we know

now equation will be

sin2x = -1/2

2x=-pie/6

x=-pie/12

Answer:

WHAT IS D QUESTION?????

Step-by-step explanation:

The x and y-intercepts of the rational function are; (-3, 0) and (0, -3/25).

The vertical asymptotes of the function are; x = ± 5.

The horizontal asymptotes of the function is f(x) = 0.

For x-intercept; let f (x) = 0;

0 = (x + 3) / (x² - 25)

x + 3 = 0; x = -3 or (-3, 0).

For the y-intercept; let x = 0.

f (0) = (0 + 3) / (0² - 25)

= -3/25 or (0, -3/25).

For the vertical asymptotes;

x² - 25 = 0

x² = 25

x = ±5.

For the horizontal asymptote;

Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is; f (x) = 0.

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Answer:

C______________4_⁴________

We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:

Step 1 - Picture a

Step 2 - Picture b

Step 3 - Picture c

Step 4 - Picture c.

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.

The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.

A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.

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Answer:

Step-by-step explanation:

The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

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Answer:

im an expert

Step-by-step explanation:

9514 1404 393

Answer:

  -6

Step-by-step explanation:

The y-intercept is represented by 'b' in the slope-intercept equation ...

  y = mx +b

Solving for b, we find ...

  b = y - mx

Using the given values, we find b to be ...

  b = -9 -(-3)(1) = -6

The y-intercept is -6.

As per the random sampling, the marginal relative frequency for action movies is 44%.

The term sampling refers the process of selecting the group that you will actually collect data from in your research.

Here we have given that  a relative frequency table that shows the percentage of comedy lovers that prefer each location and the percentage of drama lovers that prefer each location.

And we need to find the marginal relative frequency of action movies.

While we looking into the given question, we have identified that the joint relative frequency for 8th graders who like comedy movies is 16%. And the half of the 7th graders prefer action movies.

Based on these facts the resulting frequency is 44%.

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Answer:

=to 50

Step-by-step explanation:

The differentiation of the function  f(x) = sin⁻¹(3x⁵) is  \(15x^4/\sqrt{1-9x^{10}}\).

Function is a combination of different types of variable and constants.

A function is denoted by f(x).

The given function is,

f(x) = sin⁻¹(3x⁵)

Differentiate the given function with respect to x

f'(x) = d/dx(sin⁻¹(3x⁵))

The differentiation of sin⁻¹x is  \(1/\sqrt{1-x^2}\),

f'(x) =\(1/\sqrt{1-(3x^5)^2}\cdot d/dx(3x^5)\)

     = \(1/\sqrt{1-9x^{10}}\cdot 15x^4\)

     = \(15x^4/\sqrt{1-9x^{10}}\)

The differentiation of f(x) = sin⁻¹(3x⁵) is  \(15x^4/\sqrt{1-9x^{10}}\).

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The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.

N(70.5, 1.16)

The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.

As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.

Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,

\(s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16\)

Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

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The value of x in degrees will be 6° and 11° using properties of parallel lines.

They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.

Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.

The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.

In the above figure,

8x + 7 = 55

8x  = 55 - 7

x = 6

Measure of the angle will be 8 × 6 + 7 = 49

In 11)

10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)

⇒x = 11

The value of x in degrees will be = 11° using properties of parallel lines.

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1/6

Step-by-step explanation:

4/24=(4/4)/(24/4)

=1/6

Answer:

x  = Y /m  −  p /m +8

Step-by-step explanation:

y=2/3x+14/3 this is because math is nath

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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The greatest number of groups that can be formed is 7.

It should be noted that there are 56 dancers wearing green outfits and 42 dancers wearing yellow outfits.

The greatest number of groups that can be formed will the highest common factor between the numbers.

It should be noted that the highest common factor between 42 and 56 is 7.

Therefore, the greatest number of groups that can be formed is 7.

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Answer:

is 9

Step-by-step explanation:

9 x 9 = 81

yes, the answer is 9. ,,,,

Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Answer:

What is the best estimation of the equation  

7

8

−

6

11

? Drag the numbers into the boxes. Numbers may be used once, twice, or not at all.

1/2 added to

1/42011/21/8

1

−

1/2

=  

1/2

Step-by-step explanation:

The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

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Answer:

A

Step-by-step explanation:

because 12 is the smallest number/angle