C. C. A different class is made up of 40â% women and has 20 women in it. What is the total number of students in theâ class?

Cynthia was twice as old as Abigail 3 years ago.

Let x be the number of years ago when Cynthia was twice as old as Abigail

If Abigail is 15 years old and Cynthia is 27 years old today, then "x" years ago, the algebraic expression that represents their age was"15 - x" and "27 - x", respectively.

If "x" years ago, Cynthia was twice as old as Abigail, then the equation will be

27 - x = 2(15 - x)

Simplify the equation and solve for the value of x.

27 - x = 30 - 2x

x = 3

Therefore, 3 years ago, Cynthia was twice as old as Abigail.

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Answer:

See the attached image for a graph.

We can plot a few points on this parabola by plugging in some x-values.

For example:

when x = 0, f(x) = 0^2 + 1 = 1

when x = 1, f(x) = 1^2 + 1 = 2

when x = 2, f(x) = 2^2 + 1 = 5

We can create a list of ordered pairs from these values:

(-2, 5)

(-1, 2)

(0, 1)

(1, 2)

(2, 5)

These are all points on the parabola.

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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Applying the tangent ratio, the length of side x, in simplest radical form is: 8√3.

The tangent ratio is: tan ∅ = opposite side length / adjacent side length of the right triangle.

Given the following:

Reference angle (∅) = 30 degrees.

Opposite side length = 8

Adjacent side length = x = ?

Using the tangent ratio, we have: tan 30 = 8/x

x(tan 30) = 8

Divide both sides by tan 30

x(tan 30)/tan 30 = 8/tan 30

x = 8/tan 30

x = 8/1/√3

x = 8 × √3

x = 8√3

Therefore, applying the tangent ratio, the length of side x, in simplest radical form is: 8√3.

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Answer:

i hope its right, im taking the test, i put A

Step-by-step explanation:

Answer:

about 11.5

Step-by-step explanation: i think this is right

Answer:

11.538%

Step-by-step explanation:

290 - 260 /260  x 100% = 11.538

Each equation should be matched to the situation it represents as follows;

"Leilah has not yet studied 600 of her 2400 flashcards. She studies 40 new cards each day." ⇒ 2400 - 40x = 600

"Stetson rents studio space for $600 a month for music lessons. He charges his students $40 per hour and earned a profit of $2400 this month." ⇒ 40x - 600 = 2400

"A kit contains 600 letter tiles and 40 number tiles. Each tile has the same mass, and the kit has a total mass of 2400 g." ⇒ (600 + 40)x = 2400.

In this scenario and exercise, the independent variable (domain or input value) would be represented by the variable x, and then each of the situations described by the word sentence (problem) would be translated into an algebraic equation or linear function as follows;

Since Leilah studies 40 new cards per day, but hasn't studied 600 of her 2400 flashcards yet, a linear function to model or represent this situation is given by;

2400 - 40x = 600

The rent for Stetson's studio space is $600 per month and he charges his students $40 each hour while earning a profit of $2400 this month, a linear function to model or represent this situation is given by;

40x - 600 = 2400

Since this kit with a total mass of 2400rams contains 600 letter tiles and 40 number tiles, and each of the tiles have the same mass, the required linear function is given by;

(600 + 40)x = 2400.

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Answer:

ans below

Step-by-step explanation:

l*b

(4x-5) * (2x+3)

8x^2-10x+12x -15 = 8x^2 +2x -15

The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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Yes, two samples can have the same range but different means. The range of a dataset is a measure of the spread or dispersion and is determined by the difference between the maximum and minimum values. The mean, on the other hand, represents the average value of the dataset.

To illustrate this concept, let's consider two different samples:

Sample 1: 1, 5, 6, 9, 10

Sample 2: 2, 4, 7, 8, 10

Both samples have a range of 9 (10 - 1).

However, the means of the samples are different. The mean of Sample 1 is

(1 + 5 + 6 + 9 + 10) / 5 = 6.2,

while the mean of Sample 2 is

(2 + 4 + 7 + 8 + 10) / 5 = 6.2.

Despite having the same range, the means differ between the two samples.

The range only considers the extreme values of the dataset, whereas the mean takes into account all values and provides an average measure. It is possible for the individual values within the samples to be distributed differently, resulting in different means, even if the range remains the same.

Therefore, the range and the mean are distinct measures that capture different aspects of the dataset. While it is possible for two samples to have the same range, they can still have different means based on the specific values and their distribution within each sample.

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Answer: A solution to an equation is a number that can be plugged in for the variable to make a true number statement. Example 1: Substituting 2 for x in.

Step-by-step explanation:

,11

Step-by-step explanation:

let's face it.

100-45=55. 55/5=11

therefore,The maxium number is 11

Answer:

Decimal form to nearest hundredth= 0.36

percent form to nearest tenth= 35.7%

Improper fraction= 11/30.8

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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The speed of the curve at t=4 is approximately 40.63.

We have a given curve as follows:

¯ r ( t ) = ⟨ 5 t 2 − 6 , 7 t − 6 , t 3 8 t ⟩ at t = 4

To find the speed of the curve at t=4, we need to evaluate the magnitude of its velocity vector at t=4.

Velocity vector is the derivative of the curve with respect to time.

Hence, we start by finding the derivative of the curve. The derivative of the curve can be obtained as follows:¯ r'(t) = ⟨10t, 7, (3/8)t² - (3/8)⟩We can now evaluate the velocity vector at t=4:

¯ r'(4) = ⟨10*4, 7, (3/8)(4²) - (3/8)⟩= ⟨40, 7, 1.5⟩

To find the speed of the curve at t=4, we need to evaluate the magnitude of the velocity vector at t=4. The magnitude of a vector can be obtained using the formula:

|v| = √(v₁² + v₂² + v₃² +...)

Therefore, the speed of the curve ¯ r ( t ) = ⟨ 5 t 2 − 6 , 7 t − 6 , t 3 8 t ⟩ at t = 4 is:

|¯ r'(4)| = √(40² + 7² + 1.5²)= √(1600 + 49 + 2.25)= √1651.25≈ 40.63

The speed of the curve at t=4 is approximately 40.63.

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Answer: X=0

Step-by-step explanation: X is equal to zero. This is the only way the equation can be true.

Answer:

The dependent variable is the one that depends on the value of some other number. If, say, y = x+3, then the value y can have depends on what the value of x is. Another way to put it is the dependent variable is the output value and the independent variable is the input value.

Step-by-step explanation:

Answer:

the output value is the dependent variable cos it depends on what you type into the function

Answer:

−8x+6y−12

Step-by-step explanation:

Distribute:

=(2)(4)+(2)(−2x)+(2)(y)+(−4)(5)+(−4)(x)+(−4)(−y)

=8+−4x+2y+−20+−4x+4y

Combine Like Terms:

=8+−4x+2y+−20+−4x+4y

=(−4x+−4x)+(2y+4y)+(8+−20)

=−8x+6y+−12

Answer:

50%

Step-by-step explanation:

50% aaaaaa.................

The probability that 2 of the 11 televisions are defective is 2.3077.

The number of ways to choose 2 defective televisions out of 3 is given by the binomial coefficient "3 choose 2", which is 3. The number of ways to choose the remaining 9 televisions out of the 10 non-defective televisions is given by the binomial coefficient "10 choose 9", which is 10. Hence, the number of favorable outcomes is 3 * 10 = 30.

The total number of ways to choose 11 televisions out of 13 is given by the binomial coefficient "13 choose 11", which is 13.

Thus, the desired probability is given by the ratio of favorable outcomes to total outcomes, which is 30 / 13 = 30/13 = 2.3077, rounded to 4 decimal places.

So, the probability that 2 of the 11 televisions are defective is 2.3077.

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Answer:

-2.16 repeating

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

There are a few different statistical tests that could be used to compare the mean ages of cases and controls in a case-control study. One commonly used test is the t-test and  Mann-Whitney U test.

t-test compares the means of two groups and evaluates whether they are significantly different from one another. In this case, the two groups would be the cases and controls.

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Answer:

C. All whole numbers from 0 to 10

Step-by-step explanation:

Options:

A. All nonnegative real numbers

B. All rational from 0 to 10

C. All whole numbers from 0 to 10

D. All real numbers

Given:

A student can not buy more than 10 books.

The domain is the x-axis which is the number of books.

You can not buy half or a fourth of a book.

Nonnegative real numbers  would include 0.1, 0.2, 0.3, 0.4, 1.5, etc.

Rational numbers from 0 to 10  would include integers, fractions, and repeating decimals which include 1/3, 2/4, 3/4, 6/5, etc.

Whole numbers from 0 to 10 would include integers and a rational.

Real numbers include negative number, but the students are not selling books.

The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.

A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.

B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.

C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.

D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.

Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.

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The equation of a rational function with a vertical asymptote at x=7 and an x-intercept at x=-2 is f(x) = (x + 2)/(x - 7)

Rational functions  are functions that are represented by the quotient of two polynomials or radicals.

This means that, a rational function is represented by a fraction whose numerator and denominator are polynomials or radicals

The given parameters are

Vertical asymptote: x = 7

x-intercept: x = 2

The basic rule to create the rational function is to use the following equation

y = (x - x-intercept)/(x - vertical asymptote)

Substitute the known values in the above equation

So, we have

y = (x - -2)/(x - 7)

Evaluate the difference

So, we have

y = (x + 2)/(x - 7)

Rewrite the equation as a function

So, we have

f(x) = (x + 2)/(x - 7)

Hence, the equation of a rational function with a vertical asymptote at x=7 and an x-intercept at x=-2 is f(x) = (x + 2)/(x - 7)

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Given:

1 chocolate chip cookie recipe = 12 cup of chocolate chips per batch.

Alonzo wants to make 3 12 batches.

Lets's find the number of chocolate chips he will need.

Number of batches he wants to make is = 3 x 12 = 36 batches

SInce 1 chocolate chip cookie recipe calls for 12 cup of chocolate chips per batch, we have:

Answer:

3 + 7 = 10

Step-by-step explanation:

I hope this answers your question. :)

Answer: 3+7=10

Step-by-step explanation:

maybe this is it but this question is really unclear

Answer:

so C is the correct answer have a great day!

Step-by-step explanation:

Answer:

My life

Step-by-step explanation:

The probability that the ball will fall into a red slot during the following spin is 0.14.

To calculate the probability of an occurrence, divide the total number of outcomes by the total number of possible outcomes. The concepts of probability and odds are distinct. Odds are determined by dividing the probability of a situation happening by the probability that it won't happen. Probability is a metric used to determine how likely an event is to occur. When we toss the coin in the air, the probability that it will land with the heads side up is calculated. Here is a practical use of probability that you are probably already familiar with. We always check the weather forecast before a significant outing.

\(\frac{1}{7}=0.142857\)

The probability is 0.14

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The probability of the ball landing on a red slot in a single spin of a fair roulette wheel is 1/2, as there are an equal number of red and black slots.

The outcome of each spin is independent, meaning that the outcome of one spin does not affect the outcome of another. Therefore, the probability that the ball will land on a red slot in the next spin is still 1/2, regardless of the results of the previous seven spins.

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