What is the slope-intercept form of the equation of a line the line passing through point (6, -1)
that is parallel to y = 2x - 3?

The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,

\(\frac{ST}{EF}=\frac{WR}{CD}\)

Thus the option H is the correct option.

To find the correct proportion we need to know about the properties of slimier polygon.

Two polygons are said to be similar or congruent pentagon-

The corresponding angle of two pentagons are congruent.

The ratio of corresponding sides is same for all the sides.

The figure given in the problem of similar two polygons with six sides.

Rearrange the second figure as shown in figure.

As for the similar polygons, the ratio of corresponding sides is same for all the sides.

Thus the sides shown in the two rearranged figure must be same. Therefore,

\(\frac{ST}{EF}=\frac{WR}{CD}\)

Hence the correct proportion is,

\(\frac{ST}{EF}=\frac{WR}{CD}\)

Thus the option H is the correct option.

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Answer:

\(36(w^{2})\)

By finding a common denominator, we can rewrite the sum as:

3/8 + 7/12 = 9/24 + 14/24 = 23/24

Here we want to find the sum between two fractions that have different denominators.

To sum them, we need to find a common denominator, so we need to find a common multiple between 8 and 12.

We know that:

8*3 = 24

12*2 = 24

Then we can multiply and divide the first fraction by 3:

3/8*(3/3) = 9/24

7/12*(2/2) = 14/24

Then the sum will give:

9/24 + 14/24 = 23/24

That is the outcome.

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The ordered values from smallest to largest x are :

x = -1, x = 0, and x = 1/2.

The exact location of all the relative and absolute extrema of the function are :

Relative minimum at x = 0

Relative minimum at x = 1/2

Absolute minimum at x = -1.

The given function is f(x) = 33x4 − 22x3 with domain [−1, [infinity]).

To find the exact location of all the relative and absolute extrema of the function, we will follow the given steps:

Step 1: Find the first derivative of the function.

The first derivative of the function is:

f′(x) = 132x3 − 66x2

Step 2: Find the critical points of the function by setting the first derivative equal to zero.

We have:f′(x) = 0

⇒ 132x3 − 66x2 = 0

⇒ 66x2(2x - 1) = 0

The critical points are x = 0, x = 1/2, and x = 0.

Step 3: Find the second derivative of the function. The second derivative of the function is:f′′(x) = 396x2 - 132x

Step 4: Determine the nature of the critical points by using the second derivative test.  

When x = 0, we have:f′′(0) = 0 > 0

Therefore, the point x = 0 corresponds to a relative minimum.  When x = 1/2, we have:f′′(1/2) = 99 > 0

Therefore, the point x = 1/2 corresponds to a relative minimum.

Step 5: Find the endpoints of the domain and evaluate the function at those endpoints. f(-1) = 33(-1)4 − 22(-1)3 = 11f([infinity]) = ∞

Therefore, there is no absolute maximum value for the function and the absolute minimum value of the function is 11.

Step 6: Order the values from smallest to largest x.

The relative minimums are at x = 0 and x = 1/2.

The absolute minimum is at x = -1.

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Answer:

the coffee does she need is \(\frac{3}{8}\)

Step-by-step explanation:

Given that

Mx Duncan used three fourth of the cup of coffee

And, she realized that she only required half of the three-fourth of coffee

We need to find out the how much of the coffee does she need

So,

\(= \frac{3}{4} \times \frac{1}{2} \\\\= \frac{3}{8}\)

Hence, the coffee does she need is \(\frac{3}{8}\)

the same would be considered and relevant

Yes, a function can be decreasing over an interval, but still be positive.

A function can be decreasing over an interval and still be positive. This means that the output values of the function are getting smaller as the inputs of the function increase, but the output values remain greater than zero. For example, a function f(x) = x2 can be decreasing over an interval, with the output values becoming smaller as x increases, but the output values remain positive. On the other hand, a function can also be decreasing over an interval and be negative. This means that the output values of the function are getting smaller as the inputs of the function increase, and the output values remain less than zero. An example of this is the function f(x) = -x2, which is decreasing over an interval and is negative.

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Answer: 3.125

Step-by-step explanation:

Given

Triangle is dilated by a factor of \(\frac{1}{4}\) i.e. each side multiplies to 0.25.

Side E'F' becomes 0.25 times the original length

\(\Rightarrow E'F'=\dfrac{1}{4}\times 12.5=3.125\)

The word or phrase that describes the chances of Elizabeth winning the mountain bike if she buys all the tickets is likely.

If Elizabeth buys all the tickets, then she will most definitely win the raffle because she will have the winning ticket.

In probability, when an event is certain to happen, it is said that the event is "likely." It is therefore likely that Elizabeth will win the raffle.

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Answer:

-40 i think

Step-by-step explanation:

Answer:

8x-5

Step-by-step explanation:

This equation can't be further simplified.

Answer:5 1/2

Step-by-step explanation:I took the test

In the context of your experiment comparing the effectiveness of two treatments using a randomized block design, the following must be true:

1. The subjects are divided into two blocks based on their age: under 40 years and 40 years or older.
2. Randomization is used within each block to assign subjects to one of the two treatments. This ensures that each treatment group within a block has a random mix of subjects, reducing potential biases.
3. The purpose of blocking by age is to control for any confounding variables or potential effects that age might have on the treatment outcomes. By blocking, researchers can more accurately measure the differences between the two treatments.
4. The experiment is well-designed, which means it should minimize potential sources of error, include sufficient sample size, and ensure proper randomization and data collection.
5. To analyze the results, researchers will compare the treatment outcomes within each age block and then combine the results to get an overall measure of the effectiveness of the two treatments.

By using a randomized block design in this experiment, researchers can control for age-related factors and obtain a more accurate comparison of the treatment effectiveness.

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The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.

A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.

Thus, the given statement is false.

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It would cost approximately $1.10 to use the clothes washer.

To calculate the cost of using the clothes washer, you'll need to multiply the energy usage (in kilowatts) by the duration (in hours) and the cost per kilowatt-hour. In this case, the clothes washer used 2.6 kilowatts for 0.9 hours and the electricity cost is $0.47 per kilowatt-hour.

To find the total cost, use the following formula:

Total cost = Energy usage (kilowatts) × Duration (hours) × Cost per kilowatt-hour

Plug in the given values:

Total cost = 2.6 kilowatts × 0.9 hours × $0.47 per kilowatt-hour

Total cost = $1.1046

To find the cost to the nearest penny, round the result to two decimal places:

Total cost = $1.10

So, it cost approximately $1.10 to use the clothes washer.

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Answer: 2A/b = h

Step-by-step explanation: First, get rid of the fraction by multiplying both sides of the equation by 2. That gives us 2A = bh.

Don't be thrown off by the capital A in this problem.

Just treat it like any other variable.

To get h by itself on the right side of the equation, we now simply

divide both sides of the equation by b and our answer is 2A/b = h.

Take a look back at the formula now in the

original problem, A = 1/2bh, does that look familiar?

Answer:

372

Step-by-step explanation:

How many students attended school in recent years? In fall 2020, about 48.1 million students attended public schools in kindergarten to grade 12, ...

Missing: group ‎| Must include: group

Answer:

The formula for calculating the amount of compound interest is as follows: Compound interest = total amount of principal and interest in future (or future value) minus principal amount at present (or present value)

Answer:

x = -15 and y = -22

Step-by-step explanation:

Since there is 2 variables and 2 equations, we can plug the y in the first one to get: x = 8 + 2x + 7. 8 + 2x is the y. Solving this, we get -15 = x. Plugging this into the second equation, we get y = 8 - 30, so y = -22.

a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.

a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.

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The two linear expressions:

-(3x - 7 - 1/2) and 7.5 - 3x

Are equivalent expressions.

Here we are given two linear expressions:

-(3x - 7 - 1/2)

and:

7.5 - 3x

And we want to see if these are equivalent, to check that, we just need to see if we can rewrite one of the equations into the other.

If we start with the first one:

-(3x - 7 - 1/2)

And we simplify it we will get:

-(3x - 7 - 1/2)

-(3x - 7 - 0.5)

-(3x - 7.5)

Now remember the rule of signs, we can expand the above expression as:

-(3x - 7.5)

-3x + 7.5

This is the other expression, so we conclude that the two linear expressions are equivalent.

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Answer:

What is the equation?

Step-by-step explanation:

Answer:

Step-by-step explanation: what is the probelm i can help.

required profit=$1750

cp=$6000

sp1=100×$50=$5000

sp of remaining sp2={150-100}×$55=50×55=$2750

profit={sp1+sp2}-cp=$5000+$2750-$6000=$1750

To solve the integral of 1/sqrt(x^2 - a^2) dx, we can use the substitution method. Let u = x^2 - a^2, then du/dx = 2x, and dx = du/2x.
Substituting into the integral, we get:

∫ 1/sqrt(x^2 - a^2) dx = ∫ 1/sqrt(u) * du/2x
= (1/2) ∫ 1/sqrt(u) du  

= (1/2) * 2sqrt(u) + C
= sqrt(x^2 - a^2) + C

Therefore, the answer to the integral of 1/sqrt(x^2 - a^2) dx is sqrt(x^2 - a^2) + C, where C is the constant of integration.

In summary, the integral of 1/sqrt(x^2 - a^2) dx can be solved using the substitution method, where u = x^2 - a^2. The final answer is sqrt(x^2 - a^2) + C, where C is the constant of integration.

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The integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

What is intergration?

Integration is a fundamental concept in calculus that involves finding the antiderivative or integral of a function. It is the reverse process of differentiation, which is concerned with finding the derivative of a function.

To find the integral of \(1/\sqrt(x^2 - a^2) dx\), we can use a trigonometric substitution. Let's substitute \(x = a sec(\theta)\), where \(sec(\theta)\) is the reciprocal of the cosine function.

By making this substitution, we can express dx in terms of \(d(\theta)\) as follows:

\(dx = a sec(\theta) tan(\theta) d(\theta)\)

Now, let's substitute these values into the integral:

\(\int \frac{1}{\sqrt{x^2 - a^2}} dx\\\\= \int \frac{1}{\sqrt{(a \sec(theta))^2 - a^2}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\sec^2(theta) - 1)}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\tan^2(theta))}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{a \tan(theta)} (a \sec(\theta) \tan(\theta)) d(\theta)\)

Simplifying the expression, we have:

\(= \int \sec(\theta) d(\theta)\)

The integral of \(sec(\theta)\) can be evaluated as the natural logarithm of the absolute value of \(sec(\theta)\) plus the tangent\((\theta)\):

\(= \ln|\sec(\theta) + \tan(\theta)| + C\)

Finally, substituting back \(x = a sec(\theta)\), we get:

\(= \ln|\sec(\theta) + \tan(\theta)| + C\\\\= \ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\)

Therefore, the integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

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Answer:

B: Distributive property

Step-by-step explanation:

It is distributive because Robert distributed 3 to x and 2 to make the equation 3x+6=21.

Miriam can serve 72 four-ounce servings of punch, which corresponds to option D.

To find the number of 4-ounce servings of punch Miriam can serve, we need to convert the gallons to ounces and then divide by 4.

First, we convert 2 1/4 gallons to ounces:

1 gallon = 128 ounces

1/4 gallon = 1/4 * 128 = 32 ounces

So, 2 1/4 gallons is equal to 2 * 128 + 32 = 256 + 32 = 288 ounces.

Next, we divide the total ounces by 4 to find the number of 4-ounce servings:

288 ounces / 4 ounces = 72 servings.

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Answer:

i think it is 24

i think it is Step-by-step explanation:

Answer:

The players club is playing with the players

Step-by-step explanation:

give me a good Answer to my Question

What is the scale factor of this dilation? a:1/2 b:2/3 c:3/4 d:3/2

Here is a list of the graphs of the rotations with their associated description as given below:

Figure II can be obtained by rotating Figure I 45° clockwise.

Figure II can be obtained by rotating Figure I 270° counterclockwise.

Figure II can be obtained by rotating Figure I 315° clockwise.

Figure II can be obtained by rotating Figure I 180° clockwise.

Figure II can be obtained by rotating Figure I 45° counterclockwise.

Figure II can be obtained by rotating Figure I 90° counterclockwise.

To match the rotations with their associated descriptions, let's analyze each rotation:

Now, let's match these rotations with their associated descriptions:

So, the matches are as follows:

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

To find f(-7), all we need to do is plug in -7 everywhere there is an x. Then, we simplify to find our numeric answer.

f(-7) = (-7)^2 + 2(-7) + 1

= 49 - 14 + 1

= 35 + 1

= 36

f(-7) = 36

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Based on the total number of species of birds, and the number that stayed at the zoo, the equation that shows the species of birds that were transported is b + 24 = 68.

The total number of birds in Roaring Zoo adds up to 68 different species which means that the number of birds that stayed and the number that were trasnported will add up to 68.

Assuming the number of birds transported was b, the equation to find this number of birds is:

Number of transported birds + Number of birds that stayed at zoo = Total number of birds

b + 24 = 68

Options for this question are:

b + 24 = 68

b − 24 = 68

b + 68 = 24

b − 68 = 24

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The number of hours it will take to burn 4 1/4 inches of candle is 8.5 hours in decimal.

Using ratio to solve, find the ratio of candle length to the time taken to burn down

let

4 1/2 : 9 = 4 1/4 : x

9/2 ÷ 9 = 17/4 ÷ x

9/2 × 1/9 = 17/4 × 1/x

1/2 = 17/4x

1 × 4x = 2 × 17

4x = 34

x = 34/4

x = 8.5 hours

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