CDEF VITU.
10
F
W
What is the similarity ratio of CDEF to VWTU?
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

Answer: \(c+3m\)

Step-by-step explanation:

Given

A telephone call costs c cents for first 3 minutes and m cents for each additional minute.

Any call beyond 3 minutes costs

\(\Rightarrow c+mt\)

where t is the minutes spent beyond 3 minutes

For 6 minutes , t is 3

thus, it can be written

\(\Rightarrow c+3m\)

Answer:

1 Shirt costs $12.50

Step-by-step explanation:

First, set up an equation

18x=12x+75

Subtract 12x from both sides

6x=75

Divide both sides by 6

x=12.5

Answer:

C. 10%

Step-by-step explanation:

Given:

Original price of shirt = $42.39

Current sales price of shirt = $38.15

Required:

% decrease in the price of shirt

SOLUTION:

Percentage decrease in price of shirt = change in price over original price, multiplied by 100%

Change in price = original price - current price = $42.39 - $38.15 = $4.24

% decrease = \( \frac{4.24}{42.39}*100 \)

\( = \frac{4.24*100}{42.39} \)

\( = \frac{424}{42.39} \)

% decrease \( = 10.00 \)

H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)

Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.

Symbolically, the null hypothesis can be stated as:

H0: p1 ≥ p2

Where:

H0: Null Hypothesis

p1: Proportion of students diagnosed with ADHD in School A

p2: Proportion of students diagnosed with ADHD in School B

In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.

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So, the last three digits of m*n is 001.

Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.

Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:

p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2

Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.

Therefore, the last three digits of m*n is 001.

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we have

f(x)=2x^3+4x^2-2x-4

using a graphing tool

Find out the zeros of the given function

see the attached figure

the zeros are

-2, -1 and 1

that means

2x^3+4x^2-2x-4=2(x+2)(x+1)(x-1)

therefore

Michael is currently 6 years old and Norman is 18 years old. In 6 years, Michael will be 12 years old and Norman will be 24 years old.

Norman is 12 years older than Michael. To determine Michael's age we need to subtract 12 from the age Norman will be in 6 years. In 6 years, Norman will be twice as old as Michael.

Let N = Norman's age now

Let M = Michael's age now

N= M+ 12

N+ 6= 2 (M+6)

N- 12 = M

N+6=2(N- 12+6)

N+ 6 = 2(N-6)

N+ 6 = 2N - 12

18 = N

This means that in 6 years, Norman will be 24 years old. To determine Michael's age we need to subtract 12 from 24. This gives us 12, which is the age Michael will be in 6 years. Therefore, Michael is currently 6 years old and Norman is 18 years old.  In 6 years, Michael will be 12 years old and Norman will be 24 years old.

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Answer:

Step-by-step explanation:

Ok:

1. First write as equation!

x/3=4.5

2. Isolate the variable on the left side. Remember if a variable or number goes over equal sign, it becomes opposite

x/3=4.5

x=4.5*3

x=13.5

3. Double Check as always!!

13.5/3= 4.5

TRUE

Answer: 13.5

Answer:

13.5 is the answer ..hopefully this helps

Answer:

The slope of the line that contains FG is -1

Step-by-step explanation:

Given

\(x -y= 2\) --- equation of EF

Required

Determine the equation of FG

First, we calculate the slope of EF

\(x -y= 2\)

Make y the subject

\(y = x - 2\)

A linear equation has the form:

\(y = mx + b\)

Where

\(m = slope\)

By comparison:

\(m = 1\)

In square EFGH, EF and FG are perpendicular.

So, the relationship between their slopes is:

\(m_2 = -\frac{1}{m_1}\)

Where

\(m_1 = m = 1\) --- slope of EF

The equation becomes:

\(m_2 = -\frac{1}{1}\)

\(m_2 =-1\)

The probability that it will rain both days is \(\frac{1}{4}\).

According to the question

Mr. and mrs. smith plan to roof the cabin on 2 consecutive days.

Assuming that the chance of rain is independent of the day

Probability is the chance that some event will happen.

It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.

Probability = Number of ways it can occur/Total number of outcomes

Probability of rain on first day = 1/2

Probability of rain on second day = 1/2

Then

Probability of rain on both days = \(\frac{1}{2}\) × \(\frac{1}{2}\) = 1/4

Hence,

The probability that it will rain both days is \(\frac{1}{4}\).

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Answer:

5x + 6

Step-by-step explanation:

1/5 x 25x = 5x

30 x 1/5 = 6

5x + 6

Hope that helps! :3

Answer:

25  +  30/5

Step-by-step explanation:

Hope this helps

To find two numbers such that their sum is 27 and their product is maximized, we can use the concept of optimization. By expressing one number in terms of the other and using calculus techniques, we can determine the values that yield the maximum product. Hence, the two numbers that satisfy the given conditions are x = 13.5 and y = 13.5.

Let's denote the two numbers as x and y. According to the given information, we have the equation x + y = 27.

To maximize the product xy, we need to express one variable in terms of the other and substitute it into the product expression. Solving the equation x + y = 27 for y, we find y = 27 - x.

Now we can express the product P in terms of a single variable x: P = x(27 - x).

To find the maximum of P, we can take the derivative with respect to x and set it equal to zero. Differentiating P with respect to x, we have P' = 27 - 2x.

Setting P' = 0 and solving for x, we find 27 - 2x = 0, which yields x = 13.5.

Substituting this value of x back into the equation x + y = 27, we get y = 13.5 as well.

Hence, the two numbers that satisfy the given conditions are x = 13.5 and y = 13.5.

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Answer:

Step-by-step explanation:

The slope of the line passing through two given points:  \(m=\dfrac{y_2-y_1}{x_2-x_1}\)

K(c + d, c-d)   ⇒     x₁ = c + d,     y₁ = c - d

L(c-d, c+ d)   ⇒      x₂ = c - d,     y₂ = c + d

So, the slope:

                     \(m=\dfrac{c+d-(c-d)}{c-d-(c+d)}=\dfrac{c+d-c+d}{c-d-c-d}=\dfrac{2d}{-2d}=-1\)

Answer:

The denominator in the second equation is negative, so it changes/changed the values/value rather then the first.

Step-by-step explanation:

Answer:

25,000 - x(0.07)

Step-by-step explanation:

Have a great day!

Answer:

Here you go!

Step-by-step explanation:

Answer:

If circles A and B are congruent, then AC, CD, DB, and BA are all congruent since they are all radii. We then have:

ACDB is a rhombus.

ADB is an equilateral triangle.

CD is perpendicular to AB.

CD bisects AB.

To Prove :

\( \sf \dfrac{\cos9\degree + \sin9\degree }{\cos9\degree- \sin9\degree} = \tan54\degree \\ \\ \)

\( \sf LHS = \dfrac{\cos9\degree + \sin9\degree }{\cos9\degree- \sin9\degree} \\ \\ \)

\( \sf RHS = \tan54\degree \\ \\ \)

Solving for LHS :

Divide numerator and denominator by cos9°

\(\longrightarrow \: \: \sf\dfrac { \dfrac{ \cos9\degree}{ \cos9\degree} + { \dfrac{\sin9}{ \cos9} }}{ \dfrac{ \cos9\degree }{ \cos9\degree} - { \dfrac{ \sin9\degree}{ \cos9\degree}}} \\ \\ \)

\( \longrightarrow \: \: \sf\dfrac{1 + { \dfrac {\sin9\degree}{ \cos9\degree}} }{1 - { \dfrac{ \sin9\degree}{ \cos9\degree} }} \\ \\ \)

\(\longrightarrow \: \: \sf \dfrac{1 + \tan9\degree}{1 - \tan9\degree} \\ \\ \)

\(\longrightarrow \: \: \sf{ \dfrac{ \tan45 \degree + \tan9\degree}{1 - \tan45 \degree \tan9 \degree}} \: \: \: \: \: \: \: \sf \red{\bigg( \tan(A + B) = \dfrac{ \tan A + \tan B}{1 - \tan A \tan B} \bigg)} \\ \\ \)

\(\longrightarrow \: \: \sf \tan(45\degree + 9\degree) \\ \\ \)

\(\longrightarrow \: \: \sf \tan54 \degree\)

LHS = RHS

The minimum quantity of additional fuel that Seth must carry in his jet at all times will be 12 L/hour.

The unitary approach is a methodology for solving problems that involves first determining the value of a single unit and then multiplying that value by the required value. The term unitary refers to a single or unique entity. As a result, the goal of this approach is to determine values in reference to a single unit. For example, if a car travels 44 kilometers on two litres of gasoline, we may use the unitary technique to calculate how far it will go on one litre of gasoline.

Here,

For 2 hour flight, 88 L of fuel is needed.

For 1 hour, There will be 44 L fuel.

Extra fuel needed,

=44-32

=12 L

The minimum amount of extra fuel that Seth must carry in his plane at all times will be 12 L/hour.

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The equation of an exponential decay function with a range of (-∞,10), vertical shrink of 3/4, and vertical shift up 10 units is f(x) = 10 - (3/4)^x.

An exponential decay function can be written as f(x) = ab^x where b is the base of the exponential function and a is the initial value. If b is between 0 and 1, the function will exhibit exponential decay. Since we need a vertical shrink of 3/4, we can set b = 3/4.

We also need a vertical shift of 10 units, so we add 10 to the function. The resulting function is: f(x) = 10 - (3/4)^x. Therefore, the equation of an exponential decay function with a range of (-∞,10), vertical shrink of 3/4, and vertical shift up 10 units is f(x) = 10 - (3/4)^x.

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The fraction of the pitcher each type of juice are 1/3 and 2/3

From the question, we have the following parameters that can be used in our computation:

Parts = 6

Orange juice = 1

Peach juice = 2

using the above as a guide, we have the following:

Orange juice  : Peach juice = 1 : 2

Multiply by 2

So, we have

Orange juice  : Peach juice = 2 : 4

When represented as a fraction, we have

Orange juice = 1/3

Peach juice = 2/3

Hence, the fractions are 1/3 and 2/3

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Answer:

$15.95

Step-by-step explanation:

cost of 1 gram of sweet = $2.10 / 50 = 0.042

Cost of 380 g = 380 x 0.042 = $15.96

to the nearest 5 cent = 15.95

Answer:

Multiply 2 polynomials first then multiply the factor with the last binomial if I understood correctly ☺

Step-by-step explanation:

Answer:

Start with two of the three polynomials and distribute across, then take your distributed polynomial and distribute to your final polynomial.

Step-by-step explanation:

(a+b) (c+d) (e+f)

(ac+ad+bc+bd) (e+f)

(ace+acf+ade+adf+bce+bcf+bde+bdf)

The slope of the line that passes through point (0,-1) and (-1,-4) is 3.

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point 1( 0,-1 )

Point 2( -1,-4 )

To determine the slope of the line, plug the coordinates into the slope formula above.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( -4 - (-1) )/( -1 - 0 )

Slope m = ( -4 + 1 )/( -1 )

Slope m = ( -3 )/( -1 )

Slope m = 3

Therefore, the slope of the line is 3.

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(a) The sample data (5.81%) does not support the claim (3.9%) that less than 3.9% of homes have only a landline telephone and no wireless phone. (b) Additional statistical analysis is required to determine if the sample data provides sufficient evidence to support the claim.

(a) To assess the claim, we need to determine whether the sample data supports the statement that less than 3.9% of homes have only a landline telephone and no wireless phone.

The sample data states that among 14,423 homes, 5.81% had landline phones without wireless phones.

To evaluate the claim, we compare the sample data to the claim's statement. If the sample data shows a percentage greater than 3.9%, then the claim would be unsupported.

In this case, the sample data indicates that 5.81% of homes had landline phones without wireless phones, which is greater than the 3.9% stated in the claim. Therefore, the sample data does not support the claim.

(b) In this part, we are asked to determine if the sample data provides sufficient evidence to conclude that more than 3.9% of homes have only a landline telephone and no wireless phone.

To determine whether the sample data provides sufficient evidence, we can use hypothesis testing.

Let's set up the hypotheses:

Null hypothesis (H0): The proportion of homes with only a landline telephone and no wireless phone is equal to 3.9%. (p = 0.039)

Alternative hypothesis (Ha): The proportion of homes with only a landline telephone and no wireless phone is greater than 3.9%. (p > 0.039)

Next, we can conduct a hypothesis test using the sample data and statistical techniques to determine the likelihood of observing the given sample proportion under the null hypothesis.

If the p-value (probability value) is less than a predetermined significance level (usually denoted as α), we would reject the null hypothesis in favor of the alternative hypothesis.

Since we do not have the sample proportion for homes with only a landline telephone and no wireless phone, we cannot perform the hypothesis test or calculate the p-value using the given information. Additional data and statistical analysis would be required to draw a conclusion.

In summary, based on the given sample data, we can conclude that the sample proportion of homes with landline phones without wireless phones (5.81%) is greater than the 3.9% claimed. However, without further statistical analysis and data, we cannot determine whether this difference is statistically significant or provide sufficient evidence to support the claim.

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Answer:

C

Step-by-step explanation:

Verify, give me brainliest, and rate, and say thank you

Answer:

log ( \(\frac{x^2-2x(x-1)}{(x-1)^2}\) )

Step-by-step explanation:

to find (f ◦ g)(x) , substitute x = g(x) into f(x)

= log ( ( \(\frac{x}{(x-1)^}\) )² - 2(\(\frac{x}{x-1}\) ) )

= log ( \(\frac{x^2}{(x-1)^2}\) - \(\frac{2x}{x-1}\) ) ← express as a single fraction

= log ( \(\frac{x^2-2x(x-1)}{(x-1)^2}\) )

The solution is given by the equation A = how many diet sodas there are in the fridge compared to how many regular sodas

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

The ratio of cows to pigs on a farm could be 1 to 3

So , the proportion is 1 : 3

Now , The ratio of chocolate chips to raisins in a cookie could be 5 to 9

So , the proportion is 5 : 9

Now , the number of diet sodas there are in the fridge compared to number of regular sodas is also a proportion

Hence , the proportion is number of diet sodas to number of regular sodas

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s = 7 1/7 and t = 6 3/7. solve for s-t.

we have

7 1/7-6 3/7

7 1/7=50/7

6 3/7=45/7

substitute

50/7-45/7=5/7

There are 15 test scores that are 85 or greater out of a total of 30 test scores.

The third quartile, Q3, is the median of the upper half of the set of data. To determine the number of test scores that are 85 or greater, we must first find the median of the upper half of the data set. The formula to calculate the median is

Median = (n+1)/2

where n is the number of observations in the data set. In this case, n is 30. Plugging this into the formula we get

Median = (30+1)/2 = 15.5

Therefore, there are 15.5 test scores that are 85 or greater.

To calculate the number of test scores that are 85 or greater, we subtract 15.5 from 30. This gives us 14.5 test scores that are 85 or greater. Since 14.5 is not a whole number, we can round up to 15 test scores that are 85 or greater. Therefore, there are 15 test scores that are 85 or greater out of a total of 30 test scores.

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