please help will give brainlist

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

\( \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }\)

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

\( \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }\)

So the answer is B choice.

The completely factored form of x^3 + 4x^2 - 9x -36 is

(x -3)(x + 3)(x + 4).

According to the given question.

We have a polynomial

x^3 + 4x^2 - 9x -36

Since for finding the roots of the above polynomial, first we randomly substitute any value of x and find for which value of x the above polynomial gives 0.

So, for x = 3

The above polymonial gets 0.

So, the one factor of the given polynomial is (x -3).

To find the other factors or completely factored form of the given polynomial we will divide x^3 + 4x^2 - 9x -36 by x - 3, which is called long division.

From the attatched solution or log division we can see that

The factored form of x^3 + 4x^2 - 9x -36 is (x -3)(x^2 + 7x + 12).

Now, the foctorization of x^2 + 7x + 12 is given by

x^2 + 7x + 12

= x^2 + 4x + 3x + 12

= x(x + 4) + 3(x + 4)

= (x + 3)(x + 4)

Therefore, the completely factored form of x^3 + 4x^2 - 9x -36 is

(x -3)(x + 3)(x + 4).

Find out more information about completely factored form here:

https://brainly.com/question/21850482

#SPJ4

Answer:

C) (x + 3)(x – 3)(x + 4)

Included the whole page!
☆
EDGE2022; Good Luck :D!!!

The answer is B. Normal. For a normal distribution, the mean, median, and mode are all equal to each other.

- Mean: The mean of a normal distribution is the center of the distribution, which is also the highest point of the bell-shaped curve.

- Median: The median of a normal distribution is the same as the mean, since the distribution is symmetric around the center.

- Mode: The mode of a normal distribution is also the same as the mean and median, since the highest point of the curve (i.e. the mode) is at the center of the distribution.

For the other probability distributions:

- A. Uniform: A uniform distribution has no mode (or multiple modes), and the mean and median are equal but different from the mode (if it exists).

- C. Exponential: An exponential distribution has a mode of 0, a median of ln(2)/λ, and a mean of 1/λ. Therefore, the mean, median, and mode are not equal.

- D. Poisson: A Poisson distribution has a mode of the integer part of λ (i.e., the highest probability mass function value). The mean and median are both equal to λ. Therefore, the mode is not necessarily equal to the mean and median.

To learn more about median click here

brainly.com/question/4001516

#SPJ11

Answer:

1 pizza

Step-by-step explanation:

Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not.

This means, the total number of pizzas sold is

10 pepperoni + 2 pizzas without pepperoni = 12 pizzas

Hence, the number of 6 pizzas that would be sold without pepperoni is calculated as:

From the above question,

12 pizzas = 2 pizza without pepperoni

6 pizzas = x

Cross Multiply

12 pizzas × x = 6 Pizzas × 2 pizza without pepperoni

x = 6 Pizzas × 2 pizza without pepperoni/12 pizzas

x = 1 pizza without pepperoni

Therefore, 1 pizza would not have pepperoni out of 6 pizzas sold

Answer:

5

Step-by-step explanation:

Graphing sine and cosine functions is a key concept in trigonometry. To graph sine and cosine, you need to know the basic characteristics of these functions and how they relate to the unit circle.

The sine function, represented by y = sin(x), has a range of -1 to 1 and a period of 2π. The cosine function, represented by y = cos(x), also has a range of -1 to 1 and a period of 2π. The sine and cosine functions are closely related to the unit circle, which is a circle with a radius of 1 centered at the origin of a coordinate plane.

To graph sine, you can start by identifying the key points of the function: the maximum, minimum and zeroes. You can also use the period, which is 2π, to find the x-coordinates of these key points.

Similarly, to graph cosine, you need to identify the key points of the function which are the maximum, minimum, and zeroes. You can use the period, which is 2π, to find the x-coordinates of these key points.

It is important to note that sine and cosine graphs are periodic and they repeat after certain interval of 2π.

In summary, graphing sine and cosine is a matter of understanding the characteristics and properties of these functions, and using them to identify the key points of the functions which can be plotted on the coordinate plane.

to know more about graph refer here

brainly.com/question/17267403#

#SPJ11

(a) The presence of a confounding variable Z, such as the severity of the fire, could make the relationship between the number of firefighters (X) and property damage (Y) spurious.

(b) The presence of a confounding variable Z, such as the popularity of the incumbent member or the characteristics of the constituency, could make the relationship between campaign spending (X) and percentage of vote (Y) spurious.

(c) The presence of a confounding variable Z, such as the overall lifestyle or socioeconomic status of the women, could make the relationship between coffee consumption (X) and the risk of depression (Y) spurious.

(d) The presence of a confounding variable Z, such as the overall economic conditions or demand for rum in Havana, could make the relationship between Presbyterian ministers' salaries (X) and the price of rum (Y) spurious.

In each of the given examples, the reported pattern of covariation between X and Y may be influenced by a confounding variable Z. A confounding variable is a variable that is related to both the independent variable (X) and the dependent variable (Y), which can lead to a spurious relationship between X and Y.

The presence of a confounding variable can create the illusion of a direct relationship between X and Y when, in reality, the observed relationship is due to the influence of Z.

For example, in the case of firefighters and property damage, the severity of the fire (Z) could be the underlying factor driving both the number of firefighters and the extent of property damage.

Similarly, in the case of campaign spending and percentage of vote, factors such as the popularity of the incumbent member or the characteristics of the constituency (Z) could be influencing both variables.

In the case of coffee consumption and the risk of depression, other lifestyle or socioeconomic factors (Z) may be responsible for the observed relationship rather than coffee itself. And in the case of Presbyterian ministers' salaries and the price of rum, economic conditions or demand for rum (Z) in Havana could be driving both variables.

Identifying and controlling for confounding variables is crucial in research to ensure accurate interpretations of the relationship between X and Y. It allows researchers to isolate the true causal relationship between the variables of interest.

Learn more about Variable

brainly.com/question/15078630

#SPJ11

The required inequality describes for the given problem is  x < 8.5.

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.

she used 3.5 pounds of the wax to make vanilla-scented candles and has less than 5 pounds of wax left to make orange-scented candles.

let x represent the weight of the block of wax originally

then,inequality can be written as,

x - 3.5 < 5

x < 8.5

Thus, required inequality is x < 8.5.

To know more about inequality visit:

brainly.com/question/30231190

#SPJ4

3

Step-by-step explanation:

there are 6 solutions, 3 contain 2 heads, i think. dont judge me if its wrong.

Answer:

Step-by-step explanation:

a) ∠SQT is vertical with ∠PQR and therefore has equal measure

b) ∠QRW is corresponding angle with ∠SQT and therefore has equal measure

c) m∠PRV = m∠PRQ as marked equal

Answer:

\(8\frac{1}{2}*11=93\frac{1}{2}\)

Step-by-step explanation:

Simplify the expression.

Answer:

Step-by-step explanation:

The sample mean is an unbiased estimator of the population; therefore its mean across samples is 189.8. The standard error (defined as the standard deviation of these sample means) is 41.7 divided by the square root of 117, the sample size.

Answer:

y = -½x + 4

Step-by-step explanation:

Equation of any line in slope-intercept form is y = mx + b, where,

m = slope = change in y/change in x

b = y-intercept = the point on the y-axis intercepted by the line.

Let's find m and b.

✔️Using two points on the line, (0, 4) and (2, 3),

Slope (m) = change in y/change in x = (3 - 4)/(2 - 0)

m = -1/2 = -½

✔️The line intercepts the y-axis at y = 4.

Therefore,

b = 4

✔️To write the equation of the line, substitute m = -½ and b = 4 into y = mx + b.

Thus,

y = -½x + 4

Answer:

a=-3

b=5/2

c=-1/2

Step-by-step explanation:

3^-3=1/3^3=1/27    a=-3

3^5/2=√3^5=9√3           b=5/2

3^-1/2=1/√3                         c=-1/2

Answer:

Step-by-step explanation:

\(3^a = 1/27\\Write ; 1/27 -in-exponential-form\\3^a = 3^-^3\\Cancel-out-the-base\\a = -3\)

\(3^b = 9\sqrt{3} \\Convert 9\sqrt{3} to base 3\\ 3^b = 3^{\frac{5}{2} } \\Cancel-out-the-base\\b = 5/2\)

\(3^c = \frac{1}{\sqrt{3} } \\Apply -exponent -rule ;\frac{1}{a^b}=a^{-b}\\\frac{1}{\sqrt{3}}=3^{-\frac{1}{2}}\\3^c = 3^{-\frac{1}{2} } \\\mathrm{Apply\:exponent\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}\\3^{-\frac{1}{2}}=3^{-\frac{1}{2}}\\3^c = 3^{-\frac{1}{2} } \\\mathrm{If\:}a^{f\left(x\right)}=a^{g\left(x\right)}\mathrm{,\:then\:}f\left(x\right)=g\left(x\right)\\c = -\frac{1}{2}\)

Hey there,

Are you in need of a Math homework help or do you happen to know anyone who does?

If yes , contact me on Hangouts .

My email address is ; zephaniahjshammah (at symbol) gma il . com

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

<95141404393>

Answer:

88

Step-by-step explanation:

m<ACB is equal to m<ABC because when to split the triangle down the middle and reflect one half you would have the same open shape. So by knowing that, you add 46+46 to get 92. Also knowing a triangle is equal to 180, you would end up subtracting 92 from 180 to get 88.

hope this helps!

Answer:

z=70 degrees y=117 degrees

Step-by-step explanation:

To find angle z, you have to know that when two sides are against each other, they have to equal 180 degrees so 180-110 is equal to 70. Therefore z is equal to 70 degrees. To find y, you have to know that a quadrilateral's total degrees is equal to 360 degrees. Therefore, you have to do 360-93-80-70 which is equal to 117 degrees. Therefore y is equal to 117 degrees.

If this answer has helped you, please mark it as brainliest

As the given point is (60,-20), among the options the proportional relationship can be seen in (-30,10). As the points is just the half of the given cordinates.

Answer:

1/105

Step-by-step explanation:

First, the probability that Joe chooses a grand prize bag is 2/15 because there are 2 grand prize bags out of 15 total bags.

Next, the probability that Devon chooses a grand prize bag is 1/14 because if Joe already chose one of the grand prize bags, there is only 1 left out of a total of 14 bags left.

The last step is to multiply those two bags, so \(\frac{2}{15} * \frac{1}{14}\) = \(\frac{1}{105}\)

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

To know more about hypothesis test refer here:

https://brainly.com/question/29996729#

#SPJ11

Using the Pigeonhole Principle, it can be shown that in a set of n positive integers, none exceeding 2n, there is at least one integer that divides another integer.

We can prove this statement by contradiction using the Pigeonhole Principle.

Suppose we have a set of n positive integers, none of which exceed 2n, and assume that no integer in the set divides another integer.

Consider the prime factorization of each integer in the set. Since each integer is at most 2n, the largest prime factor in the prime factorization of any integer is at most 2n.

Now, let's consider the possible prime factors of the integers in the set. There are only n possible prime factors, namely 2, 3, 5, ..., and 2n (the largest prime factor).

By the Pigeonhole Principle, if we have n+1 distinct integers, and we distribute them into n pigeonholes (corresponding to the n possible prime factors), at least two integers must share the same pigeonhole (prime factor).

This means that there exist two integers in the set with the same prime factor. Let's call these integers a and b, where a ≠ b. Since they have the same prime factor, one integer must divide the other.

This contradicts our initial assumption that no integer in the set divides another integer.

Therefore, our assumption must be false, and there must be at least one integer in the set that divides another integer.

To know more about integer,

https://brainly.com/question/29808939

#SPJ11

The measure of the smallest interior angle in the isosceles trapezoid is 36 degrees.

In an isosceles trapezoid, the two non-parallel sides are congruent, which means they have the same length. Let's denote the measure of the smallest interior angle as x degrees. According to the given information, the largest interior angle is 4 times the measure of the smallest interior angle.

We can set up the equation:

4x = 180 - 2x

Simplifying the equation:

4x + 2x = 180

6x = 180

Dividing both sides of the equation by 6:

x = 30

Therefore, the measure of the smallest interior angle in the isosceles trapezoid is 30 degrees.

Learn more about trapezoid here:

https://brainly.com/question/31380175

#SPJ11

A sample distribution with n = 20 and a five-number summary of 2, 4, 6, 8, and 10 can be generated by arranging the values in increasing order as follows: 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10.

To construct a sample distribution with a specific five-number summary, we need to determine the arrangement of values within the dataset. The five-number summary consists of the minimum value (2), the first quartile (Q1, 4), the median (Q2, 6), the third quartile (Q3, 8), and the maximum value (10).

Since the dataset has 20 observations, we need to arrange these values in increasing order while ensuring that they match the given five-number summary. In this case, we can start by placing the minimum value of 2 at the beginning of the dataset. Next, we need to include additional values between 2 and 4 to represent the first quartile. We can add two 2's, a 3, and two 4's to achieve this.

Moving forward, we continue adding values to match the remaining quartiles. For Q2, we include values 5 and 6, and for Q3, we include three 8's and four 9's. Finally, we add four 10's to represent the maximum value.

By arranging the values in this manner, we obtain a sample distribution with n = 20 and a five-number summary of 2, 4, 6, 8, and 10.

Learn more about distribution here:

https://brainly.com/question/29664127

#SPJ11

Answer:

3.5 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

True.

An enumerator is a special data type in some programming languages that allows us to give names to integer values, making the code more readable and easier to maintain.

However, an enumerator cannot be directly assigned to an int variable because they are not compatible data types. An int variable can only store integer values, while an enumerator is a named constant that represents an integer value.

To assign an enumerator to an int variable, we need to explicitly cast the enumerator to an int using type conversion.

know more about programming: brainly.com/question/14368396

#SPJ11

Answer:

Option C

Step-by-step explanation:

Given the following question:

Total cost is $725
15% Marcus makes in commission.

In order to find the answer, we have to find 15% of $725 and that number will be the total in commissions he earned that week.

\(\frac{15\times725}{100} =15\times725=10875\div100=108.75\)

Marcus makes "$108.75" or option C in commissions last week.

Hope this helps.

The incenter is the intersection of the angle bisectors, the distances from the incenter to the sides are proportional to the lengths of the adjacent sides, which gives the desired proportionality.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

To sketch the segments representing the distance from the incenter to the sides of a triangle, we draw perpendiculars from the incenter to each of the sides, as shown in the attached image.

The segments representing the distances from the incenter P to the sides of the triangle are the inradii.

Let r1, r2, and r3 be the lengths of the inradii corresponding to sides AB, BC, and AC, respectively.

Then, we have:

r1 = distance from P to AB

r2 = distance from P to BC

r3 = distance from P to AC

To compare these distances, we use the fact that the incenter is the intersection of the angle bisectors of the triangle.

Therefore, the distance from the incenter to each side is proportional to the length of the corresponding side. More precisely, we have:

r1 : r2 : r3 = AB : BC : AC

This proportionality can be proved using the angle bisector theorem, which states that the length of the segment of an angle bisector in a triangle is proportional to the lengths of the adjacent sides.

Hence, the incenter is the intersection of the angle bisectors, the distances from the incenter to the sides are proportional to the lengths of the adjacent sides, which gives the desired proportionality.

To learn more about the proportion visit:

brainly.com/question/870035

#SPJ4

The correct statement is "Since the data is variable and available, the given question is a statistical question." Therefore, option B is correct.

The question "How many times do Jack Nursing Home residents search the Internet each day?" is a statistical question because it is a variable that varies from person to person and from day to day. The purpose of the question was to collect data on Internet searches, indicating an interest in understanding the distribution and patterns of residents' search behavior.

Additionally, in the question he states that web search data is available. This means there is an opportunity to collect and analyze data to generate meaningful insights. This question is therefore a statistical question that takes into account the variability and availability of the data. 

To learn more about Data collection:

https://brainly.com/question/11509805

#SPJ4

We want to solve the following equation for x:

First, let's expand the parenthesis on the right side of the equation using the distributive property

To add the terms with x, we just need to add their coefficients.

Subtracting 5x from both sides of the equation:

Now, if we subtract 7 from both sides, we have

Since this is a first degree polynomial, it has only one solution and this solution is x = - 13.