A horizontal line goes through the point (–7,10).

Which statements are true about this line? Check all that apply.
The slope of the line is zero.
Another point on the line is (3,10).
The y-intercept of the line is –7.
The equation of the line is y = 10.

Answer:

18x

Step-by-step explanation:

If f(x) is 5x which can also be expressed 5(x)

Then r(x) is a number then x

f is the fifth digit in the alphabet

So fx is 5x

r is the 18 th letter so

18x

Equations come in different forms and can be used to solve various mathematical problems. They provide a powerful tool for finding unknown values and analyzing relationships between quantities.

Equations are mathematical expressions that involve variables and are used to represent relationships between quantities. They are often used to solve problems and find unknown values. Here are the different types of equations:

a. Equations and Solution Set: An equation consists of two expressions separated by an equal sign. The solution set is the set of values that make the equation true.

b. Equations in One Unknown: These are equations with only one variable, such as "x." The goal is to find the value of the variable that makes the equation true.

c. Equations in Two Unknowns: These equations involve two variables, such as "x" and "y." The aim is to find values for both variables that satisfy the equation.

d. Systems of Equations: This refers to a set of equations with multiple unknowns. The solution is a set of values that satisfies all the equations in the system.

e. Applications to Verbal Problems: Equations can be used to solve real-life problems by representing the given information in mathematical form and finding the unknown values.

f. Variation: Variation refers to how one quantity changes in relation to another. Equations can express these relationships, such as direct or inverse variation.

g. Arithmetic Sequences and Series: An arithmetic sequence is a list of numbers with a common difference between consecutive terms. The sum of the terms in an arithmetic sequence is called an arithmetic series.

h. Geometric Sequences and Series: A geometric sequence is a list of numbers where each term is obtained by multiplying the previous term by a constant called the common ratio. The sum of the terms in a geometric sequence is called a geometric series.

In conclusion, equations come in different forms and can be used to solve various mathematical problems. They provide a powerful tool for finding unknown values and analyzing relationships between quantities.

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We have to say if 9,953 is divisible by 2, 3, 4, 5, 9 or 10 and justify each one:

• Is no divisible by 2 becuase the number is odd.

• Is not divisible by 3 becuase the sum of the digits is 26 that is not divisible by 3.

• Is not divisible by 4 becuase the last two digits form a number that is not divisible by 4.

• Is not divisible by 5 because the last digit is not 0 or 5.

• Is not divisible 9 becuase the sum of the digits is 26 that is not divisible by 9.

• Is not divisible by 10 because the last digit is not 0,

a) H1 student hasn't cheated on an test, H2 Student has cheated on an test

b) the student hasn't cheated, but got indicted of cheating

c) the student cheated, but got down with it, and

d) Type 1 error as it indicted of cheating and thus failed the class, fully innocent.

Since we want to examine whether the pupil has cheated on an test, we will test

H1 student hasn’t cheated on an test

H2 Student has cheated on an test

Flash back that the Type 1 error occurs when the null thesis is true, but we conclude that we can reject it.

In this environment, a Type 1 error would be made when the pupil hasn't cheated on an test, but we reject that statement and conclude that he has cheated on the test.

This is actually the case of" chastising the innocent", and the consequence is that the pupil will fail the course, indeed though he did nothing wrong.

Flash back that the Type 2 error occurs when the indispensable thesis is true, but we can not reject the null thesis in favor of the indispensable thesis.

In this environment, a Type 2 error would be made when the pupil actually cheated on an test, but the data that we gathered still show that it's inconclusive whether or not he cheated, i.e. we conclude that we can not reject the possibility that he hasn't cheated on the test.

This is the case of" releasing the shamefaced", and the consequence is that the pupil" got down" with cheating with no discipline.

A Type 1 error is clearly much more serious, because it would mean that the pupil did nothing wrong, but was indicted of cheating and thus failed the class, fully innocent.

thus, a) H1 Pupil hasn't cheated on an test, H2 Student has cheated on an test

b) the student hasn't cheated, but got indicted of cheating

c) the student cheated, but got down with it, and

d) Type 1 error

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Answer:

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

The probability of flipping a coin and having it land "heads" up is 1/2.

Since each coin flip is independent, the probability of getting three heads in a row is the product of the individual probabilities.

Therefore, the probability of flipping a coin three times and having them all land "heads" up is:

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

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Answer:

36°

Step-by-step explanation:

> 1/2×180-(32+22)

> 1/2×180-(54)

> 90-54

> 36°

The volume of the solid obtained by rotating the region bounded by y = x and y = 2x² about the line y = 2 is π/24 units cube.

option D.

The volume of the solid obtained by rotating the region bounded by y = x and y = 2x² about the line y = 2 is calculated as follows;

y = 2x²

x² = y/2

x = √(y/2) ----- (1)

x = y -------- (2)

Solve (1) and (2) to obtain the limit of the integration.

y =  √(y/2)

y² = y/2

y = 1/2 or 0

The volume obtained by the rotation is calculated as follows;

V = 2π∫(R² - r²)

V = 2π ∫[(√(y/2)² - (y)² ] dy

V = 2π ∫ [ y/2  - y² ] dy

V = 2π [ y²/4 - y³/3 ]

Substitute the limit of the integration as follows;

y = 1/2 to 0

V = 2π [ 1/16  -  1/24 ]

V = 2π [1/48]

V = π/24 units cube

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Answer:

If x=1, then f(x)= undefined

Step-by-step explanation:

1*1=1

1-1=0

0/0

You can't divide by 0, so anything that is divided by 0 is undefined.

((1*1)-1)/(1-1)

(1-1)/(1-1)

0/0

0/0=Undefined

f(x)= undefined

After intensively solving the question, it is clear that there are 50 boats in the marina.

Let X = total number of boats in the marina

From the question, we know that: 2/5 of the boats in the marina are white, which means there are White boats = 2/5 * X

Remaining boats (total - white boats) = (1 - 2/5) * X = 3/5 * X 3/5 of the remaining boats are blue, which means: Blue boats = 3/5 * (3/5 * X) Red boats = 12

Now, we can set up an equation to solve for "x":2/5X + 3/5 * (3/5 * X)  + 12 = XSimplifying the equation:2/5X + 9/25X + 12 = X

Multiplying both sides by 25:10x + 9x + 300 = 25x300 = 6xx = 50

Therefore, there are 50 boats in the marina.

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The best fitting line minimizes the sum of the squared errors when using least-square regression.

When trying to find the best fitting line to a set of data points, the goal is to minimize the differences between the observed data and the predicted values on the line.

The least-square regression method achieves this objective by minimizing the sum of the squared errors, which is the sum of the squared vertical distances between each data point and the corresponding point on the line.

By using the least-square regression approach, we can determine the line that provides the best overall fit to the data by minimizing the total squared differences. This method takes into account all the data points and calculates the line that best represents the relationship between the variables of interest.

The least-square regression line is often referred to as the "best fitting" line because it provides the most accurate prediction of the dependent variable based on the independent variable(s). It is widely used in various fields, including statistics, economics, and social sciences, to analyze and model relationships between variables.

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Step-by-step explanation:

The name of the illness is morbus cyclometricus

Answer:

None of the above

Step-by-step explanation:

The absolute value of a-b is equal to none of the above. say A was -4, and b was -1. -4 minus -1 is -3. absolute value of -3 is 3. so lets see if any problems equal 3. |a+b| = 5 (absolute value of -4+-1). a-b is -3. ((-4)-(-1))

Answer:

7/8 + 3/8

= 10/8

= 1 1/4

Option A is the ryt answer..

Answer:

7/8 + 3/8

= 10/8

= 1 1/4

Yup option A.

Hope all goes well!!! No one likes their momma being mad at em soo im praying that you don't die lol hahahaha

Step-by-step explanation:

The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

Given that,

We have to find for the marginal revenue function, locate the demand function.

Remember that the income is zero if no things are sold:

R'(x) = 0.06x² - 0.05x + 152

p(x) is what.

We know that,

MR = dTR/dx = 0.06x² - 0.05x + 152

Integrating the marginal revenue function , we get total revenue function,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x

= (0.06x³)/3 - (0.05x²)/2 + 152 x

TR  = 0.02 x³ - 0.025 x² + 152 x

TR = (P)(Q) = (P)(x) =  0.02 x³ - 0.025 x² + 152 x

P = ( 0.02 x³ - 0.025 x² + 152 x)/x

P = 0.02x² -0.025x + 152

Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

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Okay, here we have this:

Considering the provided functions, we are going to complete the requested table, so we obtain the following:

f(1):

f(x) = −x² + 4x + 12

f(1) = −1² + 4(1) + 12

f(1) = −1 + 4 + 12

f(1) = 15

f(2):

f(x) = −x² + 4x + 12

f(2) = −2² + 4(2) + 12

f(2) = −4 + 8 + 12

f(2) = 16

f(3):

f(x) = −x² + 4x + 12

f(3) = −3² + 4(3) + 12

f(3) = −9 + 12 + 12

f(3) = 15

f(4):

f(x) = −x² + 4x + 12

f(4) = −4² + 4(4) + 12

f(4) = −16 + 16 + 12

f(4) = 12

f(5):

f(x) = −x² + 4x + 12

f(5) = −5² + 4(5) + 12

f(5) = −25 + 20 + 12

f(5) = 7

f(6):

f(x) = −x² + 4x + 12

f(6) = −6² + 4(6) + 12

f(6) = −36 + 24 + 12

f(6) = 0

g(1):

g(x)=x+2

g(1)=1+2

g(1)=3

g(2):

g(x)=x+2

g(2)=2+2

g(2)=4

g(3):

g(x)=x+2

g(3)=3+2

g(3)=5

g(4):

g(x)=x+2

g(4)=4+2

g(4)=6

g(5):

g(x)=x+2

g(5)=5+2

g(5)=7

g(6):

g(x)=x+2

g(6)=6+2

g(6)=8

And now we will proceed to find the solution of f(x)=g(x):

f(x)=g(x)

−x² + 4x + 12=x+2

−x² + 3x + 10=0

-(x+2)(x-5)=0

Then:

x+2=0 or x-5=0

x=-2 or x=5

Finally we obtain that the values that are solution to f(x)=g(x) are -2 and 5. Then the correct answer is the third option.

Answer:

Step-by-step explanation: 3√2

Answer:

0.23 or 0.230

Step-by-step explanation:

You can round it by looking at the hundredths place.

Look to the thousandths place, if its 5 or more, you round up, if its 4 or less you round down.

Answer:

the way that you do this is

Step-by-step explanation:

so the number goes from 0 as in the whole number and then the decimal indicates that the whole number getting separated by a whole bunch of other numbers which go by smaller factors they go from ten hundred thousand and so forth so for this equation you have 0.234 the hundreds is the three the reason why is because the two is the tenths and the four is the thousands the reason why it's the thousands is because there's four numbers in the entire number.  so that number (0.234) would be 0.23 rounded to the nearest hundreth because the 4 is less than 5 which makes the number go lower.    If it was 0.238 then the answer would now be 0.24 because it's higher then 5.  please give me brainliest.  

Answer:

each number is the answer

Step-by-step explanation:

The expected frequency of east campus and passed is C. 42 students

The table for expected frequency is ,

East Campus West Campus Total

Passed (84*100)/22=42 (84*100)/200 =42 84

Failed (116*100)/200=58 (116*100)/22=58 116

Total 100 100 200

Passed = 84×100/200

= 42

Therefore, the expected frequency of East Campus and Passed is 42 students.

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Answer:

A i think

Step-by-step explanation:

....... X U Y

means x united y

which is both x and y

Here, Option D is the right answer in the given Venn diagram.

What is Venn diagram?

A Venn diagram is a diagram that represents the logical relation between two or more sets.

Y' represents everything except Y inside the box.

When we do X ∪ Y', it will represent the total area inside the box where only Y is not there.

Hence, Option D is right answer.

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According to the CPT manual, the appropriate code for the treatment for primary breast cancer, would be 77427.

In medical coding, it is important to assign the correct CPT code to accurately describe the provided medical service. For the described scenario of delivering five MeV of radiation treatment to a single area for primary breast cancer, the appropriate code is 77427. This code specifically represents the radiation treatment delivery for breast cancer.

The CPT manual is a widely used resource that provides a comprehensive list of medical procedures and services, each assigned a specific code. These codes help healthcare providers communicate and document the services rendered to patients, as well as facilitate accurate billing and reimbursement. The codes in the CPT manual are regularly updated to reflect advancements in medical technology and practices.

By referencing the CPT manual, healthcare professionals can ensure that the services they provide are accurately coded, allowing for consistent and standardized communication across the healthcare industry. This helps in maintaining proper documentation, tracking patient care, and facilitating efficient billing processes.

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The CPT manual provides specific codes for radiation treatment delivery, including those for breast cancer. The appropriate code for the given treatment would depend on the specific technique used and can be found in the CPT manual.

In order to code the radiation treatment delivery for primary breast cancer, right female breast, we need to refer to the CPT manual. The CPT manual provides specific codes for different types of radiation treatment delivery. In this case, the treatment involves the delivery of Five MeV of radiation to a single area.

Based on the information provided, the appropriate CPT code for this treatment would be determined by the specific technique used for radiation delivery. The CPT manual provides codes for different techniques, such as external beam radiation therapy (EBRT) and brachytherapy.

Since the question does not specify the technique, we cannot provide a specific CPT code. However, a healthcare professional would consult the CPT manual and select the appropriate code based on the specific details of the treatment.

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Answer:

c

Step-by-step explanation:

plug in

y=3x+2

11 = 3(3) + 2

11=11

Answer:

-7-17i

Step-by-step explanation:

Answer:

-7-17i

Step-by-step explanation:

See image below:)

23) A worker would need to assemble at least 292 widgets to receive a bonus.

24) The probability that a person had an incubation period longer than 9 days is approximately 0.3974 or 39.74%.

25) The probability that the mean of a randomly selected sample of 50 Americans under the age of 25 will be between 1580 and 1630 hours is approximately 0.672, or 67.2%.

To solve each of these problems, we can use the concept of the normal distribution and Z-scores.

For problem 23):

Given: Average = 235 widgets, Standard deviation = 43 widgets

To find the minimum number of widgets to receive a bonus, we need to determine the number of widgets corresponding to the top 10% of the distribution.

First, we find the Z-score corresponding to the top 10%:

Z = InvNorm(1 - 0.10) [InvNorm is the inverse of the cumulative distribution function]

Using a Z-table , we find that InvNorm(0.9) is approximately 1.28.

Now we can calculate the minimum number of widgets required to get a bonus:

Minimum number of widgets = Average + (Z × Standard deviation)

= 235 + (1.28 × 43)

≈ 291.04

Therefore, a worker would need to assemble at least 292 widgets to receive a bonus.

For problem 24):

Given: Average incubation period = 8.3 days, Standard deviation = 2.7 days

To find the probability that a person had an incubation period longer than 9 days, we need to calculate the area under the normal distribution curve to the right of 9 days.

First, we calculate the Z-score for 9 days:

Z = (9 - 8.3) / 2.7

Using this formula, we find that Z ≈ 0.26.

Next, we find the probability using the Z-table:

Probability = 1 - NormCDF(Z)

Probability = 1 - NormCDF(0.26)

Probability ≈ 1 - 0.6026

Probability ≈ 0.3974

Therefore, the probability that a person had an incubation period longer than 9 days is approximately 0.3974 or 39.74%.

For problem 25):

To find the probability that the mean of a randomly selected sample of 50 Americans under the age of 25 will be between 1580 and 1630 hours, we need to use the Central Limit Theorem.

According to the Central Limit Theorem, the distribution of sample means will approach a normal distribution as the sample size increases.

First, we need to calculate the standard error of the mean (SE), which is the standard deviation divided by the square root of the sample size:

SE = standard deviation / √sample size

= 251 / √50

≈ 35.49

Next, we need to calculate the z-scores for the lower and upper bounds of the range. The z-score is calculated as:

z = (x - μ) / SE

For the lower bound, z = (1580 - 1600) / 35.49 ≈ -0.565

For the upper bound, z = (1630 - 1600) / 35.49 ≈ 0.847

Now we can use a standard normal distribution table or a calculator to find the probability corresponding to these z-scores.

The probability of the mean falling between 1580 and 1630 hours is equal to the probability of having a z-score between -0.565 and 0.847.

Using a standard normal distribution table or a calculator, we can find these probabilities. Subtracting the cumulative probability for the lower z-score from the cumulative probability for the upper z-score will give us the desired probability.

P(-0.565 ≤ Z ≤ 0.847) ≈ 0.672

Therefore, the probability that the mean of a randomly selected sample of 50 Americans under the age of 25 will be between 1580 and 1630 hours is approximately 0.672, or 67.2%.

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Answer:

1) equation of line is: y-3=0

2) equation of line is: \(\mathbf{y-3=-\frac{1}{2}(x-4)}\)

3) equation of line is: \(\mathbf{y+3=-\frac{4}{3}(x-3}\)

4) equation of line is: \(\mathbf{y-2=-2(x-2)}\)

Step-by-step explanation:

We need to find the equation of the line using Two-Point form.

The general equation of two-point form is: \(y-y_1=m(x-x_1)\) where m is slope.

The formula used to calculate slope is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

1. (1,3) and (-2,3)

First finding slope

We have: \(x_1=1, y_1=3, x_2=-2, y_2=3\)

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{3-3}{-2-1}\\Slope=\frac{0}{-3}\\Slope=0\\\)

So, equation of line will be:

Using slope m=0 and point (1,3)

\(y-y_1=m(x-x_1)\\y-3=0(x-1)\\y-3=0\\\)

So, equation of line is: y-3=0

2. (4,3) and (6,2)

First finding slope

We have:\(x_1=4, y_1=3, x_2=6, y_2=2\)

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-3}{6-4}\\Slope=\frac{-1}{2}\\\)

So, equation of line will be:

Using slope m=\(\frac{-1}{2}\) and point (4,3)

\(y-y_1=m(x-x_1)\\y-3=\frac{-1}{2}(x-4)\\y-3=-\frac{1}{2}(x-4)\)

So, equation of line is: \(\mathbf{y-3=-\frac{1}{2}(x-4)}\)

3) (3,-3) and (0,1)

First finding slope

We have: \(x_1=3, y_1=-3, x_2=0, y_2=1\)

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-(-3)}{0-3}\\Slope=\frac{1+3}{-3}\\Slope=-\frac{4}{3}\\\)

So, equation of line will be:

Using slope m=\(-\frac{4}{3}\) and point (3,-3)

\(y-y_1=m(x-x_1)\\y-(-3)=-\frac{4}{3}(x-3)\\y+3=-\frac{4}{3}(x-3)\\\)

So, equation of line is: \(\mathbf{y+3=-\frac{4}{3}(x-3)}\)

4) (2,2) and (4,-2)

First finding slope

We have: \(x_1=2, y_1=2, x_2=4, y_2=-2\)

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-2}{4-2}\\Slope=\frac{-4}{2}\\Slope=-2\\\)

So, equation of line will be:

Using slope m=-2 and point (2,2)

\(y-y_1=-2(x-x_1)\\y-2=-2(x-2)\\\)

So, equation of line is: \(\mathbf{y-2=-2(x-2)}\)

Answer: no

Step-by-step explanation:

Answer:

ask your classmates what is there shoe sizes are

Step-by-step explanation: