Helppp
f(x)=-x^2+6x-18
f(x)=−x
2
+6x−18
\text{Find }f(-3)
Find f(−3)

Answer:

Here is the answer 160 miles

Step-by-step explanation:

If you want more explanation you just do 32x5=160 or if its back and forth it would be 32x10=320

the focus of all points Y that occur as midpoints of segments PX, where X lies on the given circle, is a circle with radius half of the original circle (R/2) and its center located at the midpoint M of segment OP.

Given a circle centered at point O and an arbitrary point P, let's consider the focus of all points Y that occur as midpoints of segments PX, where X lies on the given circle.
To show that this focus is a circle with radius half of the original circle, let's first analyze the properties of the midpoint Y. By definition, Y is the midpoint of segment PX, so PY = YX.
Let the radius of the original circle be R, and let OP = d. Using the law of cosines, we can derive the distance between X and P as follows:

PX² = OP² + OX² - 2(OP)(OX)cos∠POX.

Since OX = R, OP = d, and ∠POX = θ, we have:

PX² = d² + R² - 2dRcosθ.

Now, let's consider the distance between Y and P. Since Y is the midpoint of segment PX, we have:

PY² = (1/2PX)² = (1/4)(d² + R² - 2dRcosθ).

Now, let's find the locus of Y. To do so, we will fix the distance PY and let the angle θ vary. The locus of Y will be the set of all points equidistant from P with distance (1/2)PX. This forms a circle centered at a point M with radius half of the original circle (R/2).

To locate the center M of the locus, let's consider the midpoint of segment OP. Since Y lies on the line segment PX, and Y is the midpoint of PX, the locus of Y will be the set of all points equidistant from the midpoint of segment OP. This forms a circle centered at point M, where M is the midpoint of segment OP.

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The volume of the solid is π/3.

The regions bounded by the curve x = y - y^3 in the first quadrant and the y-axis are to be revolved around the x-axis and the line y = 1, respectively.

The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the x-axis are obtained by using disk method.

Therefore, the volume of the solid is:

V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = yandr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y)^2 - (0)^2 dy= π∫[0, 1] y^2 dy= π [y³/3] [0, 1]= π/3

The volume of the solid is π/3.The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the line y = 1 can be obtained by using the washer method.

Therefore, the volume of the solid is:

V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = y - 1andr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y - 1)^2 - (0)^2 dy= π∫[0, 1] y^2 - 2y + 1 dy= π [y³/3 - y² + y] [0, 1]= π/3

The volume of the solid is π/3.

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The sum of random variables (2/θ) ∑n i =1 Xi has a X^2- distribution with 2n degrees of freedom. Using this as a pivot random variable, a (1-α) 100% confidence interval for θ is [(2(n-1)S^2)/χ^2(1-α/2,2n), (2(n-1)S^2)/χ^2(α/2,2n)]..

To show that (2/θ) ∑n i =1 Xi has a X^2-distribution with 2n degrees of freedom, we can use the following steps

Calculate the sample mean X = (1/n) ∑n i =1 Xi.

Calculate the sample variance S^2 = (1/n) ∑n i =1 (Xi - X)^2.

Calculate the test statistic T = (2/θ) ∑n i =1 Xi.

Substitute X and S^2 into T to get T = (2/θ) nX = (2/θ) (n-1)S^2.

We know that (n-1)S^2/θ has a X^2-distribution with n-1 degrees of freedom. Therefore, (2(n-1)S^2)/(θ^2) has a X^2-distribution with 2(n-1) degrees of freedom.

Substituting (2/θ) nX = (2/θ) (n-1)S^2 into this expression, we get

T = (2/θ) nX = (2/θ) (n-1)S^2 = (2(n-1)S^2)/(θ^2)

Hence, T has a X^2-distribution with 2n degrees of freedom.

Using the random variable from part (a) as a pivot random variable, we can construct a (1-α) 100% confidence interval for θ as follows:

(2(n-1)S^2)/χ^2(α/2,2n) ≤ θ ≤ (2(n-1)S^2)/χ^2(1-α/2,2n

Here, χ^2(α/2,2n) and χ^2(1-α/2,2n) are the α/2 and 1-α/2 percentiles of the X^2-distribution with 2n degrees of freedom, respectively.

Thus, a (1-α) 100% confidence interval for θ is [(2(n-1)S^2)/χ^2(1-α/2,2n), (2(n-1)S^2)/χ^2(α/2,2n)].

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Answer:

21; steps are included:

Step-by-step explanation:

lets put this unknown number as a variable (n)

now lets write the equation out: (n=the unknown number)

16 = n-5

To keep the equation balanced we add 5 to both sides:

16+5=n-5+5

21=n

Now that means the unknown value is 21

Hope this helped

Answer:

16 = x - 5

Step-by-step explanation:

We start with 16. We then hear "is", which means equals. So we put an equal sign. Next, we hear "five less then", which means we will subtract 5 from something. We then learn the something will be an unknown number, which we will represent with the variable x. Now we write subtraction of 5 from x. 16 = x - 5

Answer: B because a negative x negative is a positive, making them all higher than 18. The first inequailty means it can be equal to 18 and the second means -3x has to be greater, ex 19 or above

Step-by-step explanation:

Answer:

2j²/5

Step-by-step explanation:

We know that j has to be squared so j², and to find 2/5's of that number we need to multiply it by 2/5.

j²×(2/5)

Now to simplify it we can multiply the j² to the numerator.

2j²/5

The percent markup is 11.11%.

There is a department store. The total number of shirts bought by the department store is 400. The total cost of the shirts bought by the department store is $10,800. The department store sells all the shirts for $30 each. We need to find the percent markup.

We first need to find out the cost of each shirt. The cost price of each shirt is the total cost of all the shirts divided by the total number of shirts bought by the department store.

C = $10,800/400

C = $27

Hence, each shirt was purchased for a price equal to $27. To find the markup percentage, we need to find the percentage difference between the cost price and the selling price of the shirt.

M = [(30 - 27)/27]*100%

M = (3/27)*100%

M = 100/9%

M = 11.11%

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Step-by-step explanation: The x-intercept is

the point where a line crosses the x-axis.

So the x-intercept for the line on the graph is (7, 0).

All x-intercepts have a y-coordinate of zero.

The y-intercept is a point where a line crosses the y-axis.

So the y-intercept for the line on the graph is (0, 5).

All y-intercepts have a x-coordinate of zero.

Answer:

120

Step-by-step explanation:

75-15=60. (Edit) Just realized that she spent her allowance that week, so it would be 120 because you need to multiply.

Answer:

The answer is 120$

Step-by-step explanation:

75-15=60

60x2=120

You multiply it by 2 because she spent half of her allowance on cyberpunk 2077

Answer:

-22.8

Step-by-step explanation:

(0.6-2.5)(8+4)=

0.6-2.5=-1.9

8+4=12

-1.9 × 12=-22.8

Using translation concepts, the values of k are given as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem:

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The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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Answer:

D

Step-by-step explanation:

if you have 37 and however many you eat you subtract from that 37 giving you R

Answer: 4.5

Step-by-step explanation: We can find the answer to this using toa (Tanjent). We’d start with tan(75)= 17/x. From here we’d multiply both sides by x to get xtan(75) = 17. Now we’d just have to divide both sides by tan(75) to get 4.5.

In terms of the percentage of downloaded books, the sampling distribution's mean is 0.03 and its standard deviation is 0.0197.

Central Limit Theorem:

The sampling distribution of the sample percentage for a proportion p in a sample of size n will be roughly normal with a mean (μ = p) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n} }\).

In a given year, 3% of books checked out from the library are downloaded.

That means p = 0.03

and n = 75

By the Central Limit Theorem

Mean = μ = p = 0.03

Standard deviation =  \(s = \sqrt{\frac{p(1-p)}{n} }\)

                                   \(s = \sqrt{\frac{(0.03)(0.97)}{75} }\)

                                   \(s=0.0197\)

Hence,

         In terms of the percentage of downloaded books, the sampling distribution's mean is 0.03 and its standard deviation is 0.0197.

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Cyber safety is the use of information and communication technologies in a responsible and safe manner. It involves protecting information and keeping it secure, but it also entails handling information responsibly, showing consideration for others online, and following proper internet etiquette.

The Essential Eight are a collection of eight mitigation techniques: application control, application patching, configuring Microsoft Office macro settings, user application hardening, limiting administrative rights, operating system patching, multi-factor authentication, and regular backups.

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Answer:

-103

Step-by-step explanation:

Just subtract

Answer:

-103

Step-by-step explanation:

You add all the numbers then put the negative sign.

Answer:

3 and a half hours every dinner shift

Answer:

the other guy is right I'm pretty sure

Answer:

60 boys are in the grade.

Step-by-step explanation: Since there are 150 students, we can divide that number by the combined ratio, which in this case is 5. Dividing 150 by 5 would yield 30 students. We can use this information to multiply the given number of boys in the ratio by 30, which would produce 60.

The number of pounds of trail mix that Anthony bought 4.25 pounds of trail mix.

Trail mix is a snack food that typically contains a combination of dried fruit, nuts, and sometimes chocolate or other sweets. It's a popular snack for hikers and outdoor enthusiasts because it's lightweight, easy to pack, and provides a good source of energy.

The number of trail mix can be realized as 4.25 pounds of trail mix by dividing the total cost of the trail mix ($7.45) by the cost per pound ($1.75).

7.45 / 1.75 = 4.25

You can also think of it as Anthony spent $1.75 for each pound of trail mix and he spent $7.45. So you can find out how many pounds of trail mix he has by dividing the $7.45 by $1.75.

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A box plot that represents data containing an outlier typically includes a box with a horizontal line inside it representing the median. It also has "whiskers" extending vertically from the box to indicate the range of most of the data. Additionally, there will be one or more individual points or "dots" outside the whiskers, which represent the outliers.

In a box plot, outliers are defined as data points that fall outside the range of the whiskers, which extend from the box. If a box plot displays a data point located beyond the whiskers, it indicates the presence of an outlier in the data set. Outliers are typically represented as individual points or asterisks. These data points are considered to be extreme values that significantly deviate from the rest of the dataset. They can provide valuable insights into the distribution and potential anomalies within the data.

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Step-by-step explanation:

the required number is 64 .