Acircle with radius of 6 cm sits inside a circle
with radius of 9 cm.
What is the area of the shaded region?
Round your final answer to the nearest
hundredth.
6 cm
9 cm

Answer:

2x^3 -9x^2 +11x-6 divided by x-3

Step-by-step explanation:

     2x^2  - 3x  + 2

                 ------------------------------

x - 3             2x^3 - 9x^2 + 11x - 6

                  2x^3 - 6x^2

               --------------------------------------subtract

                           -3x^2    + 11x

                           -3x^2    + 9 x

               ----------------------------------------subtract

                                         2x    - 6

                                         2x    - 6

                                -----------------------------subtract

                                         0

- 2x^2 - 3x + 2

:/

Answer:

true, both sides are divisible by 5

Step-by-step explanation:

5x=-20

÷5 ÷5

x= -4

Answer: False

Step-by-step explanation: In this equation, the Multiplication Property of Equality wouldn't help us because it tells us we can always multiply the same quantity times both sides of an equation.

Since we want to be able to get x by itself, multiplying both sides

of the equation by the same quantity wouldn't help us.

Instead, we would use the Division Property of Equality.

In order to get from the statement 5x = -20  to the statement where x

is isolated, we must divide both sides of the statement, 5x = -20, by 5.

So we have x = -4.

So this statement uses the Division Property of Equality.

The probability that 2 out of 10 call center representatives will be rated as unsatisfactory is approximately 0.002853, or 0.2853%.

To find the probability that 2 out of 10 call center representatives will be rated as unsatisfactory, we can use the binomial probability formula.

The formula is:
P(X=k) = (n C k) * p^k * (1-p)^(n-k)

Where:
P(X=k) is the probability of getting exactly k successes in n trials
n is the number of trials (sample size), which is 10 in this case
k is the number of successes (call center representatives rated as unsatisfactory), which is 2 in this case
p is the probability of success (call center representatives rated as unsatisfactory), which is 5% or 0.05

Using this information, we can calculate the probability as follows:

P(X=2) = (10 C 2) * 0.05^2 * (1-0.05)^(10-2)

Calculating this equation gives us:

P(X=2) = (10 C 2) * 0.05^2 * 0.95^8

The combination formula (10 C 2) can be calculated as:

(10 C 2) = 10! / (2! * (10-2)!)

Simplifying further:

(10 C 2) = 10! / (2! * 8!)

Calculating 10! and 8! gives us:

(10 C 2) = 10 * 9 / (2 * 1)

Simplifying:

(10 C 2) = 45

Substituting the values back into the equation:

P(X=2) = 45 * 0.05^2 * 0.95^8

Calculating this equation gives us:

P(X=2) = 0.002853

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Answer:

3

Step-by-step explanation:

And also,PLEASE DONT YELL AT ME/US!!

Answer:

s = r1 s = 3.1 s = 3.1

or

v =a/s

v = 208/3.1

v = 67.0968

Step-by-step explanation:

The first part of the ratio would be 156. The second part of the ratio would be 52.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

To divide £208 in the ratio 3:1, you can use the following method:

Convert the ratio to a fraction by dividing the first number by the sum of the numbers in the ratio (3 / (3+1) = 3/4)

Multiply the fraction by the total amount you want to divide (£208)

The result will be the amount for the first part of the ratio, and the remaining amount is the second part of the ratio.

So the first part of the ratio would be: 3/4 × 208 = 156

The second part of the ratio would be: 208 - 156 = 52

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Answer:

A. Because

Step-by-step explanation:

\( \frac{3 - 2}{ - 1 - 2} = \frac{1}{ - 3} \)

Answer:

-33

Step-by-step explanation:

It says that u = 5

So, the absolute value of ∣5∣ is 5

-17(5) + 52

-85 + 52

-33

The relationship between AABC and ARST is that they are always is neither congruent nor similar. 4.

The relationship between AABC and ARST, after the described transformations (translation and line reflection), can be determined based on the properties of the transformations.

Congruent and Similar:

Congruent figures have the same shape and size, while similar figures have the same shape but different sizes.

Since the question mentions a translation and a line reflection, these transformations preserve both shape and size.

If AABC and AJED are congruent due to the translation and AJED and ARST are also congruent due to the line reflection, then AABC and ARST would be congruent as well.

However, the question does not specify whether the figures are similar or not, so we cannot conclude that they are similar.

Congruent but Not Similar:

As mentioned earlier, congruent figures have the same shape and size.

If AABC and AJED are congruent due to the translation and AJED and ARST are congruent due to the line reflection, it follows that AABC and ARST would also be congruent.

We cannot determine whether they are similar or not.

Similar but Not Congruent:

Similar figures have the same shape but different sizes.

Since the question does not provide any information about the angles or side ratios of the figures, we cannot conclude that AABC and ARST are similar.

Neither Congruent nor Similar:

Based on the information given, this is the most accurate choice.

Without additional information about the angles or side ratios, we cannot determine whether AABC and ARST are congruent or similar.

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In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.

In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.

The linear regression equation is given as:

y = b0 + b1 * x

Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable

In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.

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Answer:

Vertex is (-1, -9)

Step-by-step explanation:

To find the x-value of the vertex, we use the formula

x

=

−

b

2

a

(This is considered the axis of symmetry).

a

=

1

and

b

=

2

with

c

=

−

8

(These are the numbers in order)

By substituting we get

x

=

−

(

2

)

2

⋅

1

, which simplifies to

x

=

−

1

.

Once you find x, substitute back into the equation to find y.

y

=

(

−

1

)

2

+

2

(

−

1

)

−

8

y

=

1

−

2

−

8

y

=

−

9

Putting the two numbers together you get the coordinates

(

−

1

,

−

9

)

.

In calculating chi-square test statistics, we use the squared difference between the observed (O) and expected (E) values in each cell, divided by the expected value (E). This is referred to as the squared difference, denoted as option C.

The expected number of successes for the Rosi treatment group is given as 126.12, which corresponds to option C.

Regarding the statement, if the three treatments are not equally effective, to reject the null hypothesis, the chi-square statistic for this example will be larger. This statement is true. When the treatments are not equally effective, there will be larger differences between the observed and expected values, leading to a larger chi-square statistic. This increased statistic indicates a greater deviation from what would be expected under the null hypothesis, providing evidence to reject it.

In the given table for testing independence in 2-way tables, the observed values are presented alongside the expected values (in parentheses) for each category. The total counts for each row and column are also provided.

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The vertical shape of the graph will be the same as that of the first rocket, assuming both rockets have the same initial velocity and acceleration.

1. I agree with Serena that we can draw the graphs for the other two rockets by shifting the functions. We can use the same equation and just adjust the values of the horizontal and vertical shifts.

2. The equation f(t) = -6t² represents a quadratic function, which has a parabolic shape when graphed. If we apply a transformation to this function, such as a vertical or horizontal shift, the shape of the graph will change accordingly.

3. The term 82.14 likely represents the maximum height achieved by the rocket, since the equation f(t) = -6t² gives the height of the rocket as a function of time. The value of h(t) = 82.14 corresponds to a specific time when the rocket reaches its maximum height.

4. If the second rocket is launched 3 seconds after the first one, the graph of the second rocket will be shifted horizontally by 3 units to the right compared to the graph of the first rocket. This represents a time delay of 3 seconds between the two launches.

5. The equation of the second rocket would be f(t) = -6(t-3)², assuming that the second rocket has the same initial velocity and acceleration as the first rocket but is launched 3 seconds later.

6. Since the third rocket is launched 3 seconds after the second rocket and from a tall platform, its graph will be shifted horizontally to the right by 6 units compared to the graph of the first rocket.

9. A: Based on the graph, the third rocket was launched at approximately 5:20 PM.

B: Based on the graph, the first rocket lands at approximately 5:15 PM.

C: Based on the graph, all three rockets are in the air between approximately 5:10 PM and 5:25 PM, so the approximate interval during which all three rockets are in the air is 15 minutes.

Therefore, spends an additional 6 seconds in the air before landing. The vertical shape of the graph will depend on the specifics of the rocket's launch and trajectory.

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Answer:

9n−14x−44

Step-by-step explanation:

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

We solve as follows:

*Since angles 1 & 3 are opposite to congruent sides, then they are congruent too. Also, since their opposite by the vertex angles are also opposite to congruent sides we can determine that angles 1 & 3 are both equal to 90°.

Using the previous information, we determine angle 2:

37° + 90° + m<2 = 180° => m<2 = 53°

So, angle 2 has a measure of 53°.

Now, we proceed as follows:

*Since both triangles [Upper one and lower one] are congruent by SSS, then we have that angle 5 has a measure of 37° and therefore angle 4 has a measure of 53°.

In order:

m<1 = 90°

m<2 = 53°

m<3 = 90°

m<4 = 53°

The argument can be used to adjust the size of the two tick labels B and 0 on the x-axis is cex.axis of the boxplot. Option D is the correct choice.

To create a boxplot of rear width (RW) by species (sp) using the boxplot function in R, you can use the following R code:
```R
boxplot(RW ~ sp, data = your_data)
```

In this code, replace 'your_data' with the name of your data frame containing the variables RW and sp.

Regarding the options for adjusting the size of the tick labels (B and 0) on the x-axis, the correct argument is (D) cex.axis. You can use this argument to set the size of the tick labels as follows:
```R
boxplot(RW ~ sp, data = your_data, cex.axis = desired_size)
```

Replace 'desired_size' with a numerical value to set the size of the tick labels.

The answer is: (D) cex.axis

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Answer:

A, C, B

Step-by-step explanation:

A $3.87 ÷ 3 = $1.29 each

B $2.38 ÷ 2 =  $1.19 each

C $8.75 ÷ 7 = $1.25 each

greatest to least would be A, C, B

I hope this helps, please mark Brainliest, thank you!

Step-by-step explanation:

We can solve the system by substitution. Since the second equation is already solved for y, we can substitute 3x + 12 for y in the first equation and get:

3x + (3x + 12) = 12

Simplifying this equation, we get:

6x + 12 = 12

Subtracting 12 from both sides, we get:

6x = 0

Dividing both sides by 6, we get:

x = 0

Now that we know x, we can substitute it into either equation to find y. Using the second equation, we get:

y = 3(0) + 12 = 12

Therefore, the solution to the system is (x,y) = (0,12).

Since there is only one solution, the system has one solution.

The margin of error will be larger for a 99% confidence interval than for a 95% confidence interval, assuming the same sample size and level of variability in the data.

The margin of error is the range of values above and below the point estimate within which the true population parameter is likely to fall.

A higher level of confidence requires a larger margin of error. This is because as the level of confidence increases, the range of values that contains the true population parameter becomes wider.

For example, a 95% confidence interval has a margin of error of plus or minus two standard errors of the point estimate.

Increasing the confidence level to 99% would require a wider range of values, and therefore a larger margin of error, such as plus or minus three standard errors of the point estimate.

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Given expression is:(–2.4a – 1.8b) – (–3.8a – 4.4b)The expression can be simplified as follows:–2.4a – 1.8b + 3.8a + 4.4bThe like terms are combined as follows.

1.4a + 2.6bExpressions that are equivalent to 1.4a + 2.6b are:3.4b – 3.2a3.4a – 3.2bThe given expression is equal to (2.0a, 3.0b) and (3.4a + 5.6b). Therefore, none of these two expressions are equivalent to the given expression.

This can be concluded as we did not arrive at 2.0a, 3.0b, or 3.4a + 5.6b after simplifying and combining the like terms.Please note that there is only one answer option, not two, that is correct as the question asks to select two options. However, the answer to the question is that 3.4b - 3.2a and 3.4a - 3.2b are equivalent to the given expression.

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Answer: See explanation

Step-by-step explanation:

Since the number of tickets is represented by t and we're told that the committee earns $4 per ticket and also earned $72 from bake sale, then the inequality will be given as:

= 72+4t>400

The solution if the inequality will then be:

72 + 4t > 400

4t > 400 - 72

4t > 328

t > 328/4

t > 82

Answer:

72+4t>400

t > 82

Step-by-step explanation:

top one is for the inequality

bottom is the solution

Answer: 1. an = n + 4,   2. ( 3 1/2, 3.5, 5),   3. 6 1/12,   4. 97,   5. 0.2 meters,    6. 4.52,   7. 3 1/18

Step-by-step explanation:

The average rate of change from year 2 to year 10 is approximately 6.9 inches per year.

Let's first calculate the height at year 2 and year 10 using the given function:

For year 2:

r = 2

h = -0.2 + 6.9 * 2 + 16

h = -0.2 + 13.8 + 16

h = 29.6 inches

For year 10:

r = 10

h = -0.2 + 6.9 * 10 + 16

h = -0.2 + 69 + 16

h = 84.8 inches

Average rate of change = (Change in height) / (Change in time)

Change in height = h(year 10) - h(year 2) = 84.8 - 29.6 = 55.2 inches

Change in time = year 10 - year 2 = 10 - 2 = 8 years

Average rate of change = (55.2 inches) / (8 years)

Average rate of change ≈ 6.9 inches per year

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Answer:

$91.55

Step-by-step explanation:

The money belen pay in state taxes in 3 years is $91.84.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that;

Belen pays= $76.00

Rate= 6.4%

Now,

Plugging these values into the formula, we get:

A=76(1+0.064)3

A=76(1.064)3

A≈91.84

Therefore, by the interest the answer will be $91.84.

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The value of x that makes the equation true is x = 16/9.

To solve for x in the equation 27=13(6x−9)+3x, we first simplify the right-hand side by distributing the 13:

27 = 78x - 117 + 3x

Then, we can combine like terms by adding 117 to both sides:

144 = 81x

Finally, we isolate x by dividing both sides by 81:

x = 144/81 = 16/9

This means that if we substitute x = 16/9 into the original equation, both sides will be equal.

In the context of the problem, this value of x represents the solution that satisfies the equation. It indicates that the given equation is consistent and has a unique solution for x.

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The apothecary system uses the minim as the basic unit of liquid measure and the grain as the basic unit of solid measure.

What is apothecary measurement?

What are the units of the apothecary system?

The grain, scruple (20 grains), dram (3 scruples), ounce (8 drams), and pound—a ancient scale of weight used in the British Isles for measuring and distributing pharmacological goods (12 ounces).

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