Good Moring please please answers this
1. Translate (-5,0) (x,y) to (x+0; y+2)
2 Reflect (5,0) in the origin
3. Reflect (3, -3) in x =- 1
4 (3, 1.5) B(0, 2..5) C (0,8) reflect ABC in x=1

Answer:

we have:

u(1) = 18

u(2) = 21 = 18 + 3

u(3) = 24 = 18 + 3.2

u(4) = 27 = 18 + 3.3

.......

=> the sequence has: u(1) = 18

                                    d = 3

=> u(n) = 18 + 3(n - 1) = 3n + 15

so the recursive formula for the sequence is u(n) = 3n + 15

Step-by-step explanation:

Answer: The bottom option, the graph.

Step-by-step explanation:

A relation is something that gets input from a set, called domain (usually the x) and "transforms" them into an output, from a set called the range.

Now, a relation is only a function if, for all the elements x in the domain, each one of them has only one element y in the range associated to it.

For example, in the first set we can see that the value x = 1 appears two times, it is related to different values in the range, then this is not a function.

The second relation is not a function.

the third relation is:

x = 3*y^2 - 7

This is a function, but in this relation x is the output and y the input, so this is a function of y.

In the fourth relation we can see a graph, this is a function (each value in the domain is related to only one in the range), and in the horizontal axis we can see a x, so this is a function of x.

Answer:

D

Step-by-step explanation:

The length of the shadow cast by the person 1.82 meters tall is approximately 0.822 meters.

The length of the shadow cast by a person who is 1.82 meters tall can be found using trigonometric ratios. Given that the angle of elevation to the sun is 24°. The required length of the shadow cast can be calculated as follows:We know that:tan θ = opposite / adjacenttan θ = Length of the shadow / Height of the personThe opposite side in the given question is the length of the shadow and the adjacent side is the height of the person.Substituting the values in the above formula:tan 24° = Length of the shadow / 1.82 mWe can solve for the length of the shadow by cross multiplying and then taking the inverse tangent of both sides.tan 24° = Length of the shadow / 1.82tan 24° x 1.82 = Length of the shadowLength of the shadow = tan 24° x 1.82Length of the shadow = 0.452 x 1.82Length of the shadow = 0.82204 metersTherefore, the length of the shadow cast by the person 1.82 meters tall is approximately 0.822 meters.

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The solution to the system of equations is x = 8/3 and y = 41/43.

To find the solution for the given system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Given equations:

3x + 2y = 22 ---(1)

-x + 15y = 21 ---(2)

To eliminate one variable, we can multiply equation (2) by 3 and equation (1) by -1, then add the resulting equations:

-3x + 45y = 63 ---(3) (multiplying equation (2) by 3)

-3x - 2y = -22 ---(4) (multiplying equation (1) by -1)

Adding equations (3) and (4) eliminates the x variable:

43y = 41

Dividing both sides by 43 gives us:

y = 41/43

Now we can substitute this value of y into either equation (1) or (2). Let's use equation (1):

3x + 2(41/43) = 22

Multiplying both sides by 43 to eliminate the fraction:

129x + 82 = 946

Subtracting 82 from both sides:

129x = 864

Dividing both sides by 129:

x = 864/129

Simplifying:

x = 8/3

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Answer:

It has reflectional symmetry with four lines of symmetry.

Step-by-step explanation:

======================================================

Explanation:

Choice A is false since it does have rotational symmetry. See choice B.

Choice B is close, but the "90 degrees" needs to be "45 degrees". Each 45 degree rotation of the figure has the "before" and "after" be the same.

Choice C is one of the answers. There's a vertical line of symmetry, and a horizontal one as well.  Then there are two diagonal lines of symmetry. Each goes through the center. A line of symmetry is a mirror line to allow us to reflect one half over this line to get the other half.

Choice D is another answer. It has point symmetry since we can pick any point on the figure and reflect it over the center point, to land on a corresponding image point on the opposite side of the figure. For example, the northern most point reflects over the center to land on the southern most point.

The area of the circle grows by a factor of 9, and the actual area is 360

The given parameters are:

Old area = 40

Scale factor = 3

When the circle is dilated, the new area becomes

New area = Old * (Scale factor)^2

Substitute 3 for scale factor

New area = Old * 3^2

Evaluate the exponent

New area = Old * 9

This means that the area of the circle grows by a factor of 9, and the actual area is:

New area = 40 * 9 = 360

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Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

oh god i rushed so much.. i hope you understand..the written answers..if confused..please inform..

Answer:

x≥4

Step-by-step explanation:

_6≥10+4x

group like terms

4x≥10+6

4x≥16

divide both side by 4

4x\4≥16\4

x≥4

The solution to the inequality is given as x ≥ 4. Then the correct option is D.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

−6 ≥ 10 − 4x

The solution to the inequality is given below.

−6 ≥ 10 − 4x

4x ≥ 10 + 6

4x ≥ 16

x ≥ 16 / 4

x ≥ 4

The solution to the inequality is given as x ≥ 4. Then the correct option is D.

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Answer:

A:53

B:90

C:143

Step-by-step explanation:

The measure of angles A, B, and C for the given parallel lines will be 53°,90°, and 143° corresponding.

Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.

As per the parallel lines m and n.

The adjacent angle of B = 37° (corresponding angle same)

m∠B = 180° - (53° + 37°) = 90°

m∠A = 53° (corresponding angle same)

m∠C = 180° - 37° = 143°

Hence "The measure of angles A, B, and C for the given parallel lines will be 53°,90°, and 143° corresponding".

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Lets draw a picture of the problem:

Since we have a right triangle, we can relate the given angle with the sides by means of the tangent function, that is,

By multiplying both sides by 8, we have

Since tan3.5= 0.06116, we get

Since 1 feet is equal to 12 inches, we have

Therefore, by rounding to the nearest tenth, the answer is 5.9 inches.

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

The analysis of the matrices and vectors components indicates;

a) coa(A) = 1

b) <A, B> = 37

c) ||u|| ≈ 91.79

A vector is an mathematical object has magnitude and direction. Vector quantities can be represented by an ordered list of numbers, representing the components of the vector.

a) The cosine of the angle between the vectors, can be obtained from the dot product formula as follows;

cos(A) = (5)·(0) + (0)·(0) + (82)·(1) = 82

The magnitudes of the vectors are; ||u|| = √(5² + 0² + 82²) = 82

||v|| = √(0² + 0² + 1²) = 1

cos(A) = (u·v)/(||u||·||v||) = 82/82 = 1

cos(A) = 1

b) The inner product of the matrices;  \(A=\begin{bmatrix} 4&7 \\ 8& 4 \\\end{bmatrix}\) and \(B = \begin{bmatrix}5 &-1 \\ 3&0 \\\end{bmatrix}\) can be found from the sum of the product of the corresponding entries of the matrices as follows;

<A, B> = 4 × 5 + 7 × (-1) + 8 × 3 + 4 × 0 = 37

The inner <A, B> = 37

c) The norm of a vector is defined as the square root of the sum of the squares of the components of the vector, therefore;

||u|| = √(|2 + 26i|² + |1 + 88i|² + |0|²)

|2 + 26i| = √(2² + 26²) = √(680)

|1 + 88i| = √(1² + 88²) = √(7745)

||u|| = √((√(680))² + (√(7745))² + (0)²) = √(8425) ≈ 91.79

The norm of the vector is ||u|| ≈ 91.79

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Answer:

Min = -1

Max = 3

Step-by-step explanation:

Evaluate the values on the ends of the interval

\(f(-10) = \sqrt[3]{-10+9}\)

\(f(-10)=\sqrt[3]{-1}\)

\(f(-10)= -1\)

\(f(18)=\sqrt[3]{18+9}\)

\(f(18)=\sqrt[3]{27}\)

\(f(18)=3\)

Answer:

42 m2

Step-by-step explanation:

3=18

7=?

=7 × 13 ÷ 3

=42

A disadvantage of secondary data is that the current researcher has no control over the accuracy of the data.

Research information that has already been obtained and is available as secondary data. Primary data, which is information gathered directly from its source, is in contrast to the phrase.

Data that is gathered by a user other than the main user is referred to as secondary data. Census data, information gathered by government agencies, company records, and data that was initially gathered for other research purposes are all common sources of secondary data for social science.

Secondary data is information that was gathered earlier by another party. questionnaires, personal interviews, observations, experiments, etc. Publications, websites, books, journal articles, internal documents, etc. produced by the government.

Disclaimer

What is the disadvantage of secondary data.

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Answer:

17.5 %

Step-by-step explanation:

5.6 is 17.5 percent of 32

The formula for the mean of x, given x ∼ bin(n, p) where n is a positive integer and 0 < p < 1, has been proven as μ = n * p.

To prove the formula for the mean of x, given x ∼ bin(n, p) where n is a positive integer and 0 < p < 1, follow these steps:
Step 1: Define the binomial distribution. In this case, x ∼ bin(n, p) represents a random variable x following a binomial distribution with n trials and probability of success p.
Step 2: Recall the formula for the mean (μ) of a binomial distribution. The formula for the mean of a binomial distribution is given:
μ = n * p
Step 3: Prove the formula. To prove this formula, consider the expected value of a single Bernoulli trial. A Bernoulli trial is a single experiment with two possible outcomes: success (with probability p) or failure (with probability 1-p). The expected value of a single Bernoulli trial is:
E(x) = 1 * p + 0 * (1 - p) = p
Step 4: Apply the linearity of expectation. The mean of the binomial distribution is the sum of the means of each individual Bernoulli trial. Since there are n trials, the mean of the binomial distribution (x) is:
μ = n * E(x) = n * p
So, the formula for the mean of x, given x ∼ bin(n, p) where n is a positive integer and 0 < p < 1, has been proven as μ = n * p.

The formula for the mean of x, or the expected value of x, is:
E(x) = np
To prove this formula, we need to use the definition of the expected value and the probability mass function of the binomial distribution.
First, let's recall the definition of expected value:
E(x) = Σ[x * P(x)]
where Σ represents the sum over all possible values of x, and P(x) is the probability of x occurring.
For the binomial distribution, the probability mass function is:
P(x) = (n choose x) * p^x * (1-p)⁽ⁿ⁻ˣ⁾
where (n choose x) is the binomial coefficient, which represents the number of ways to choose x items out of n without regard to order.
Now, let's substitute the binomial probability mass function into the formula for the expected value:
E(x) = Σ[x * (n choose x) * p^x * (1-p)⁽ⁿ⁻ˣ⁾]
Next, we need to simplify this expression. One way to do this is to use the identity:
x * (n choose x) = n * [(n-1) choose (x-1)]
This identity follows from the fact that we can choose x items out of n by either choosing one item and then selecting x-1 items out of the remaining n-1 items, or by directly choosing x items out of n.
Using this identity, we can rewrite the expected value as:
E(x) = Σ[n * (n-1 choose x-1) * p x * (1-p)⁽ⁿ⁻ˣ⁾]
Now, we can simplify further by noting that:
(n-1 choose x-1) = (n-1)! / [(x-1)! * (n-x)!]
and
n * (n-1)! = n!
Substituting these expressions into the expected value formula, we get:
E(x) = Σ[n! / (x-1)! * (n-x)! * px * (1-p) (n-x)]

We can simplify this expression by factoring out the common terms in the numerator:
E(x) = n * p * Σ[(n-1)! / ((x-1)! * (n-x)!) * p⁽ˣ⁻¹⁾ * (1-p)⁽ⁿ⁻ˣ⁾]
The sum inside the parentheses is just the binomial probability mass function for x-1, so we can rewrite it as:
Σ[(n-1)! / ((x-1)! * (n-x)!) * p⁽ˣ⁻¹⁾ * (1-p)⁽ⁿ⁻ˣ⁾] = P(x-1)
Substituting this back into the expected value formula, we get:
E(x) = n * p * Σ[P(x-1)]
Now, the sum over all possible values of x-1 is just the sum over all possible values of x, except that we're missing the last term (x=n). However, since the binomial distribution is discrete, the probability of x=n is just 1 minus the sum of all other probabilities. Therefore, we can add the missing term (n * P(n)) to the sum, giving:
Σ[P(x-1)] + P(n) = 1
Substituting this into the expected value formula, we get:
E(x) = n * p * (1 - P(n)) + n * P(n)
Simplifying this expression using the fact that P(n) = (n choose n) * p^n * (1-p)ⁿ⁻ⁿ = pⁿ, we get:
E(x) = n * p
This completes the proof of the formula for the mean of x.

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In the image above you have the distribution of the 16 seats in the van (in pairs). You can identify the number of pairs (two seats) in red.

Answer:

Ummm Lilly Are you the one that I was jus talkin too

Step-by-step explanation:

Answer:

C. There is a 7 in the tens place, so 7 times 10 equals 70.

Answer:

v

Step-by-step explanation:

v is 5/-2 on the graph

........,......

Answer:

5 is x -2 is y so it is v

Step-by-step explanation:

Answer:

.14

Step-by-step explanation:

The relative frequency that favors football is around 0.14, or 14%.

Given that Phoebe took a survey of her classmates' favorite sport.

We need to find the relative frequency of survey members who prefer football,

Preferred sports =

Football    baseball     basketball    tennis       others     total

     4              5                     8                 7              4          28

To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.

According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.

Relative Frequency = Number of people who prefer football / Total number of respondents

= 4 / 28

≈ 0.14

Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.

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To construct a 99% confidence interval for a population mean, we can use the following formula:

Confidence Interval = Sample Mean ± Critical Value * (Sample Standard Deviation / √n)

Given:

Sample Mean (X) = 67.5

Sample Standard Deviation (s) = 8.3

Sample Size (n) = 7

First, we need to find the critical value corresponding to a 99% confidence level. Since the sample size is small (n < 30) and the population standard deviation is unknown, we can use a t-distribution.

The degrees of freedom for a sample size of 7 is (n - 1) = (7 - 1) = 6.

From the t-distribution table or a statistical software, the critical value for a 99% confidence level with 6 degrees of freedom is approximately 3.707.

Now we can calculate the confidence interval:

Confidence Interval = 67.5 ± 3.707 * (8.3 / √7)

Confidence Interval = 67.5 ± 3.707 * (8.3 / 2.646)

Confidence Interval = 67.5 ± 3.707 * 3.141

Confidence Interval = 67.5 ± 11.619

The lower bound of the confidence interval is 67.5 - 11.619 = 55.881, and the upper bound is 67.5 + 11.619 = 79.119.

Therefore, the 99% confidence interval for the population mean is (55.881, 79.119).

The correct answer is:

The 99% confidence interval for the population mean is (55.881, 79.119).

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The requirements for a hypothesis test are satisfied.

To test the claim that the rate of polio is less for children given the Salk vaccine, we need to check if the requirements for a hypothesis test about two population proportions are met. The requirements are:

1. The samples are simple random samples and independent.
2. For each of the two groups, the sample size is at least 1000.

In this case, the study involved 401,974 children who were randomly assigned to two groups: the treatment group with 201,229 children and the placebo group with 200,745 children. This satisfies the first requirement, as the samples are simple random samples and independent. The sample size for both groups is also larger than 1000, meeting the second requirement.

Therefore, the requirements for a hypothesis test are satisfied, and we can proceed with testing the claim that the rate of polio is less for children given the Salk vaccine.

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The toy cars Anna must sell for her revenue to equal her expense is 4 toy cars. The result is obtained by using the concept of calculating algebra.

To calculate the algebra with one variable, sum up all the same variable and count the value.

Anna want to sell toy car at a craft fair. Each car is sold at a price of $ 12. The material for each car cost $ 3.50 and the table rental at the fair is 34 dollar for the day.

Find the toy cars must Anna sell for her revenue to equal her expense!

We have

Let's say

Revenue = Expense

a × $12 = (a × $3.5) + $34

12a = 3.5a + 34

12a - 3.5a = 34

8.5a = 34

a = 4 toy cars

Hence, Anna must sell 4 toy cars so that her revenue is equal to expense.

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Answer:

s=2

Step-by-step explanation:

6=3s

6/3=3s/3 divide both sides by 3

2=s

Answer:

y=X+2

Step-by-step explanation:

you can use the equation y=Mx+c to give this solution!

Answer:

Step-by-step explanation:

Find the slope using the points

\(Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{6-2}{4-0}\\\\\\=\dfrac{4}{4}\\\\\\=1\)

m= 1.

y = mx + c

y = 1*x+ c

y = x + c

In this equation substitute x = 0 and y = 2 and find the valu of c

2 = 0 + c

c = 2

Equation of line CD:

y = x + 2

Answer:

m = -6n-5 / 2

Step-by-step explanation:

2m = -6n - 5

/2        /2

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

m = -6n-5 / 2

Answer:

m=-3n+-5/2

Step-by-step explanation:

Divide both sides by 2