Find the perimeter of
Triangle CBF
If
Triangle DEF ~ triangle CBE.
perimeter of
Triangle DEF = 32. EE = 8. EB = 16.

Answer:

Step-by-step explanation:

To solve an algebraic expression in simplest form, you can follow these steps:

1. Use the order of operations (PEMDAS) to simplify any arithmetic in the expression (parentheses, exponents, multiplication and division, addition and subtraction).

2. Combine like terms by adding or subtracting any coefficients in front of similar variables.

3. Divide or multiply both sides of the equation by the same non-zero number to solve for the variable.

4. If possible, factor the expression to make it simpler.

5. If the expression is a fraction, check for a common denominator and then simplify by canceling any common factors in the numerator and denominator.

6. If the expression is a radical, check for a perfect square and simplify by taking the square root of the number inside the radical.

7. Use the properties of exponents and logarithms to simplify the expression.

8. Evaluate the expression by plugging in the values of any known variables.

It's important to keep in mind that there may be multiple ways to simplify an algebraic expression and the solution that is in simplest form may not always be obvious.

An expression which best represents the expression Marie should have used in Step 3 include the following: C. 21/2 × 4/3.

Since Marie had 10 1/2 of ribbon to make bows and each bow required 3/4 of ribbon, the number of bows she could make with the ribbon can be determined by dividing the total number of ribbons by the length required by each bow.

This ultimately implies that, all of the steps that best represents the expression Marie should have used are as follows;

Step 1: 10 1/2 ÷ 3/4

By converting the mixed fraction into an improper fraction, we have the following:

Step 2: 21/2 ÷ 3/4

Rewriting the expression as a function of multiplication, we have the following:

Step 3: 21/2 × 4/3

Step 4: 84/6

Step 5: 14 bows.

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The value of an account can be calculated using the formula for continuously compounded exponential growth given by A = P[tex]e^{rt}[/tex], where A is the final amount, P is the initial amount, r is the interest rate and t is the time.

A proportion of a sum of money is charged as interest for using it. Usually, it is stated as an annual percentage rate (APR). Interest rates can vary based on the kind of loan, the lender, and the borrower's creditworthiness. They are commonly charged on loans, credit cards, and savings accounts.

In the given question, the value of the account can be calculated using the formula for continuously compounded exponential growth given by A = Pe^rt, where A is the final amount, P is the initial amount, r is the interest rate, and t is the time.

Substituting the given values, we get:

$1,360 = $700[tex]e^{(0.049t)}[/tex]

To solve for t, we can take the natural logarithm of both sides:

ln(1360) = ln(700) + 0.049t

Rearranging and solving for t, we get:

t = (ln(1360) - ln(700))/0.049

t = 9.68 years

Rounding to the nearest year, it would take 10 years for the value of the account to reach $1,360.

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The carpenter doesn't have enough tiles to cover up the wall having an area of 40 feet.

When discussing mathematics, the terms "area" and "perimeter" are crucial. This is true regardless of the field's irregular or regular shape. The perimeter is the space surrounding the object. Your home, for instance, has a yard that is enclosed. The fence's length is its perimeter. The fence is 200 feet long if the yard is 50 feet by 50 feet.

A measurement of the volume of an object is its area. To begin a lawn in the same yard, you must have an area. Units of squared distance are used to describe the area. You need 50 x 50, or 2500 square feet, of grass for a 50 ft x 50 ft.

The area of the wall is l × b

= 8 × 5

= 40 feet

As, 40 > 35

Thus, the carpenter doesn't have enough tiles to cover up the wall having an area of 40 feet.

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For f(-7), it's 20. For determining x, it's 8.

For f(-7), plug-in -7 to x, and you get -3(-7), which is 21, and minus 1 is 20.

For determining x, plug in 8, you get -3(8), which is -24, minus 1 is -25.

Answer:

either of two angles whose sum is 90°.either of two angles whose sum is 180°.

Step-by-step explanation:

Answer:

she used 6/60 or 1/10 of the salt

Step-by-step explanation:

5/6=50/60

1/10=6/60

To find the distance between two places, we can apply the distance formula d=((x2 - x1)² + (y2 - y1)²).

The distance of an object is its overall motion, regardless of direction.

Distance is the amount of space that an object has covered, regardless of where it began or concluded.

By understanding how far an object is from us, we may calculate its actual size.

It is possible to calculate the area that an object takes up in the sky.

The actual size of an object can then be determined by taking into account its distance.

The further away something is, the smaller it appears.

The distance between two locations on a plane is the length of the line segment connecting them.

The formula d=((x2 - x1)² + (y2 - y1)²) is frequently used to calculate the separation between two points.

Therefore, to find the distance between two places, we can apply the distance formula d=((x2 - x1)² + (y2 - y1)²).

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If the caffeine in the body drops by 15% each hour then the equation for this problem is [tex]f(t) = 150\times (0.85)^{t}[/tex]  and the equation represents a exponential decay problem .

the amount of caffeine present in the cup of coffee (a) = 150 mg  ;

the percent drop in caffeine in body each hour (r) = 15% = 0.15  ;

Since the percent of caffeine is dropping in the body , the exponential decay function will be used to represent this situation ;

the exponential decay equation is written as : [tex]f(t) = a\times (1-r)^{t}[/tex] ;

substituting the given values of "a" and "r" in the equation ,

we get ;

⇒ [tex]f(t) = 150\times (1-0.15)^{t}[/tex]

⇒ [tex]f(t) = 150\times (0.85)^{t}[/tex]

Therefore , the exponential decay equation is [tex]f(t) = 150\times (0.85)^{t}[/tex] .

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4times, 2inches occur on the interval 0 < x < 20

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Answer:

-5

Step-by-step explanation:

4-5=-1

So therefore:

-5+4=-1

Using exponents, 3√78 can be written as (3^(1/3))(78^(1/3))^3.

An exponent is a mathematical notation that represents the number of times a number, called the base, is multiplied by itself. For example, in the expression "2^3", the base is 2 and the exponent is 3. The exponent tells us that we need to multiply the base 2 by itself 3 times, resulting in 222 = 8. So, 2^3 = 8. The exponent is usually written as a small number above and to the right of the base, called the "power" or "index" of the base. Exponents can also be written using the notation "a^n" where a is the base and n is the exponent.

3 √78 can be written as (3^(1/3))*(78^(1/3)) using exponents.

3^(1/3) is the cube root of 3, and 78^(1/3) is the cube root of 78.

So, 3 √78 can be written as (3^(1/3))(78^(1/3)) or (3^(1/3))(78^(1/3))^3.

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Answer:3√5

Step-by-step explanation:

√ 45 = 3√5. Therefore, the square root of 45 in radical form is 3√5. Square Root of 45 in Radical Form: 3√5.

Answer:

The answer is 3√5

A system of two linear equations in two variables has no solution if their graphs c. do not intersect at any point.\

When a system of two linear equations in two variables has no solution, it means that there is no point of intersection between the two lines represented by the equations. This means that the lines are parallel, and do not intersect at any point. This is also known as an inconsistent system. On the other hand, if the two lines intersect at exactly one point, it is a consistent system and has a unique solution. If the two lines are coincident, it will have infinitely many solutions.

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If the factor distributes 5% of its profits as dividends among its 500 shareholders with an equal number of shares, the dividend per shareholder is Rs. 1,200.

Dividends refer to the profits declared for sharing among partners or more specifically among shareholders.

Dividends are a means for repaying shareholders for their shareholding interest in the company.

Companies declare dividends when sufficient profits are generated.

The profit per month = Rs 1,000,000

The total profit for the year = Rs 12,000,000 (Rs. 1,000,000 x 12)

Dividends payout = 5%

Dividends declared = Rs. 600,000 (Rs. 12,000,000 x 5%)

The number of shareholders with equal shares = 500

Dividends per shareholder = Rs. 1,200 (Rs. 600,000/500)

Thus, the dividends per shareholder is the quotient of the total dividends and the number of shareholders.

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The ordered pair for the equation is (384/29, 64/29).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

5x-y=64..............(1)

6y=x........................(2)

Now, substitute the value of x from equation 2 into equation (1)

5(6y) - y= 64

30y - y= 64

29y= 64

y= 64/29

and, x= 6y

x = 6 (64/29)

x = 384/ 29

Hence, the ordered pair (384/29, 64/29).

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Answer: The domain of the function f is [-1,1], meaning that the input values (x) can be any value between -1 and 1, inclusive of -1 and 1.

The function f(-1) = f(0) = f(1) = 0, meaning that the output value (y) is 0 when the input value (x) is -1, 0 or 1.

The limit of f(x) as x approaches -1,0 and 1 is 1. This means that as x gets closer and closer to -1, 0 and 1, the output value (y) approaches 1.

A possible graph of a function with these properties is a function that has a horizontal asymptote at y=1, and intersects the x-axis at -1, 0, and 1. It means that the function approaches y =1 as x gets closer to -1, 0, and 1 but never reach the point. Also, the function is zero at -1, 0, and 1.

This function is called the absolute value function, and it can be represented by f(x) = |x|.

However, the graph you provided in the question is not correct. The function is not a parabola, it's a step function. The graph is not smooth and it has vertical lines at -1, 0, 1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a

Answer: 20 - 5

Step-by-step explanation:

The pattern shown in each sequence is that the number of cards removed is decreasing and the number of cards remaining is decreasing.

Turn 1: 3 cards; Turn 2: 2 cards; Turn 3: 1 card; Turn 4: 2 cards; Turn 5: 3 cards

Turn 1: 15 cards; Turn 2: 13 cards; Turn 3: 12 cards; Turn 4: 10 cards; Turn 5: 7 cards

Turn 1: 4 cards, Turn 2: 4 cards, Turn 3: 5 cards, Turn 4: 6 cards, Turn 5: 7 cards

Turn 1: 56 cards, Turn 2: 52 cards, Turn 3: 47 cards, Turn 4: 41 cards, Turn 5: 34 cards

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You can determine if three variables are linear if their graph forms a straight line when plotted. Additionally, the relationship between the variables should follow a linear equation.

Linearity between three variables can be determined by examining their relationship. If the variables are linearly related, then plotting them on a graph will result in a straight line. Additionally, the relationship between the variables should follow a linear equation, which is a form of an equation where each term is either a constant or the product of a constant and a single variable. To determine if a given equation is linear, you can examine its terms to see if they are all either constants or the product of a constant and the variable. If a variable is raised to a power other than 1, the equation is not linear. In short, if the graph of the three variables forms a straight line and the equation between them is linear, then the variables are linear.

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Answer:

C

Step-by-step explanation:

26 divided by 200 = 13%

26 is the number of times 5 was the outcome of 200 rolls

The additive inverse of a complex number is the opposite of the complex number. The complex conjugate of a complex number is which is the real part plus the opposite of the imaginary part of the complex number.

The additive inverse of a number is its opposite number. If a number is added to its additive inverse, the sum of both numbers becomes zero.

When the sum of two real numbers is zero, then each real number is said to be the additive inverse of the other. So, we have R + (-R) = 0, where R is a real number.

A complex conjugate of a complex number is another complex number whose real part is the same as the original complex number and the magnitude of the imaginary part is the same with the opposite sign.

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A) The required population sets are

Population set 1 : Women whose mothers took the drug DES during pregnancy.

Population set 2 : Women whose mothers did not take the drug DES during pregnancy.

B) It is a survay not experiment.

C) The estimate of the number of women out of 1,000 who would be expected to have tissue abnormalities is 16 per 1000 people.

D) The estimate of the number of women out of 1,000 who would be expected to have not tissue abnormalities is 8 per 1000 people.

E) Yes, medical studies often use a relatively large sample to represent the population in the best possible way so that results can be more reliable and can be generalized.

The purpose of a research study is that to uncover something hidden or unknown. Because the study does not use the entire set of data, but it consider sample in an appropriate manner to represent the population as accurately as possible. We have a seven-year medical research study : Women whose mothers took the drug DES during pregnancy were twice as likely to develop tissue abnormalities that might lead to cancer as were women whose mothers did not take the drug.

A) Population is defined as the entire group that we want to draw conclusions. In this case, population seta are :

Population set 1 : Women whose mothers took the drug DES during pregnancy.

Population set 2 : Women whose mothers did not take the drug DES during pregnancy.

B) Since, there is no manipulation in the variables has been done, it is not an experiment but a survey.

C.)Consider a sample from population of women whose mothers took the drug DES during pregnancy. Sample size, n = 3980

The number of women who developed tissue abnormalities that might lead to cancer, x = 63

The sample proportion, p = x/n = 63/3980

≈0.0158

A descriptive statistic that used to estimate the number of women out of 1000. So, population who have tissue abnormalities out of 1000,

Required number = 0.0158 ×1000 ≈15.8 ≈ 16

i.e., 16 per 1000 people

D) Now, for the population of women whose mothers did not take the drug DES during pregnancy, the estimate of the number of women out of 1000

1000 who would be expected to have tissue abnormalities can be given as:

Required number ≈ 8 per 1000 people ( because those who took drug have twice the risk).

E) Yes, medical studies often use a relatively large sample to represent the population in the best possible way so that results can be more reliable and can be generalized, which is the main purpose of the medical study.

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Hope it helps.

If you have any query, feel free to ask.

Survey results may be impacted by response bias, sampling bias, question bias, mode of administration, and data collection method.

What is factor ?

A factor is a quantity or element that contributes to a particular result or outcome.

There are several factors that may have contributed to the different results of the two surveys:

Response Bias: The online survey may have attracted participants who are more tech-savvy and have a different perspective than those who are less comfortable with technology. On the other hand, the telephone survey may have attracted participants who are older or less mobile, and have a different perspective than those who prefer online communication.

Sampling Bias: The online survey may not have been representative of the entire population, as it was conducted on a specific website and only attracted those who use that website. Similarly, the telephone survey may have only reached those who answered the phone and were willing to participate.

Question Bias: The questions asked in the online survey may have been different from those asked in the telephone survey, leading to different results. The questions may have been worded in a way that biased the responses, either consciously or unconsciously.

Mode of Administration: The mode of administration, or the method of conducting the survey, may have influenced the responses. Online surveys allow participants to respond at their own pace and in their own environment, while telephone surveys may put pressure on participants to respond quickly and may not allow them to think through their responses.

Data Collection Method: The data collection method, such as self-reported data, may have influenced the results. Self-reported data may not always be accurate, as participants may not remember details accurately or may be unwilling to report certain information.

Survey results may be impacted by response bias, sampling bias, question bias, mode of administration, and data collection method.

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Survey results may be impacted by response bias, sampling bias, question bias, mode of administration, and data collection method.

A factor is a quantity or element that contributes to a particular result or outcome.

There are several factors that may have contributed to the different results of the two surveys:

Response Bias: The online survey may have attracted participants who are more tech-savvy and have a different perspective than those who are less comfortable with technology. On the other hand, the telephone survey may have attracted participants who are older or less mobile, and have a different perspective than those who prefer online communication.

Sampling Bias: The online survey may not have been representative of the entire population, as it was conducted on a specific website and only attracted those who use that website. Similarly, the telephone survey may have only reached those who answered the phone and were willing to participate.

Question Bias: The questions asked in the online survey may have been different from those asked in the telephone survey, leading to different results. The questions may have been worded in a way that biased the responses, either consciously or unconsciously.

Mode of Administration: The mode of administration, or the method of conducting the survey, may have influenced the responses. Online surveys allow participants to respond at their own pace and in their own environment, while telephone surveys may put pressure on participants to respond quickly and may not allow them to think through their responses.

Data Collection Method: The data collection method, such as self-reported data, may have influenced the results. Self-reported data may not always be accurate, as participants may not remember details accurately or may be unwilling to report certain information.

Survey results may be impacted by response bias, sampling bias, question bias, mode of administration, and data collection method.

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Note that the box and whisker plot is attached accordingly and the measure are given as follows:

A box plot is a figure that depicts the distribution of data by showing where the majority of values reside and those values that deviate significantly from the norm, known as outliers. Box plots are sometimes known as box and whisker plots or box and whisker diagrams.

The bottom of the box indicates the first quartile, while the upper side represents the third quartile. As a result, the inter-quartile deviation is represented by the vertical width of the middlebox.

The median is the horizontal line inside the box. The vertical lines projecting from the box extend to the data set's minimum and highest values, as long as these values are not outliers. Two shorter horizontal lines represent the ends of the whiskers.

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The given points (3,2) and (2,3) do not represent the same point on the cartesian plane.

A Cartesian plane is defined by two perpendicular number lines: the x-axis, which is horizontal, and the y-axis, which is vertical.

It is named after the French mathematician Rene Descartes, who formalized its application in mathematics.

Any point in the plane can be described by an ordered pair of numbers using these axes.

So, we have the points:

(3,2) and (2,3)

Point P's coordinates are 3 for the x-coordinate and 2 for the y-coordinate.

Point Q's coordinates are 2 for the x-coordinate and 3 for the y-coordinate.

The point is not the same because the coordinates of the two are different.

Therefore, the given points (3,2) and (2,3) do not represent the same point on the cartesian plane.

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Correct question:

Do points (3,2) and (2,3) represent the same point in the Cartesian plane?

The length of the square change by a factor of √3.

Let x be the initial side length of the square. The area of a square is equal to the length of one of its sides squared.

A = x²

If the area of a square were to triple in size, it means that the new area of the square has increased by a factor of 3.

initial Area x 3 = new Area

3x² = new Area

Let X be the side length of the new square. Hence, the area of the new square is X squared.

new Area = X² = 3x²

X = √3x²

X = x(√3)

Therefore, the length of the square increased by a factor of √3.

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the answer is v= -5x + 1136

This is a  is a rectilinear shape, so the value of x is 4.

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