If triangle ABC is translated 3 units right and 2 units down, what are the coordinates of point C’?

Mary should charge $375.302 to the customer.

What is a semicircle?

A semicircle is a two-dimensional shape that consists of the arc of a circle and the diameter that connects the endpoints of the arc. The diameter divides the circle into two equal halves, and one of these halves is called a semicircle. A semicircle has the same curvature as a circle but only covers half the distance. It is a special case of a sector, which is a region of a circle enclosed by two radii and an arc.

Given :  diameter of semi circle = base of triangle = 7 ft

             so, radius of semi circle = 7/2 ft

             height of triangle = 6 ft

the carpet is comprised of a triangle and semi circle.

so, area of the carpet = area of triangular part + area of semi circular part

                                    = 1/2 × b × h + πr²/2

                                    = 1/2 × 7 × 6 + 3.14 × (7/2)^{2} / 2

                                    = 21 +  1.57 ×12.25

                                    = 21+19.2325

                                    = 40.2325 ft²

Now, the total charges = installation charges + per square foot charges

                                      = $150 + $ 5.6 × 40.2325

                                      = $ 150 + $ 225.302

                                      = $375.302.

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Answer:

8.5°

Step-by-step explanation:

25 + (-8)

=25 - 8

=17 ÷ 2

= 8.5°

The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean = \(n \times p\) = \(180 \times 0.42\) = 75.6

standard deviation = \(\sqrt{n \times p \times q}\) = \(\sqrt{180 \times 0.42 \times 0.58}\) = 6.622

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The percentage of the population in decimal is p=0.42

The mean of the sample of the binomial distribution=75.6

The standard deviation of the sample of the binomial distribution=6.622

How to convert a decimal to a percentage?

To convert a decimal number into a percentage value, multiply the decimal by 100.

What is binomial distribution?

The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.

Given that,

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

n = 180

Using the binomial distribution,

mean =   75.6

standard deviation =  6.622

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Answer:

$ 83.2

Step-by-step explanation:

3 pounds = 16.64

15 pounds = ?

15 pounds = 5 × 16.64

= $ 83.2

Answer:

= 24.

Step-by-step explanation:

-(-5+(-8))-(-9-2)

= -(-5-8)-(-9-2)

= 5 + 8 + 9 + 2

= 13 + 11

= 24

Answer:

y = 5/4x + 10

Step-by-step explanation:

First, we need to use point-slope form which is:

y - y₁ = m(x - x₁)

Now, we substitute the numbers:

y - 5 = 5/4(x - (-4))

y - 5 = 5/4(x + 4)

y - 5 = 5/4x + 5

y = 5/4x + 10

You can check by substituting the points into the equation:

5 = 5/4(-4) + 10

5 = -5 + 10

5 = 5

Answer:

He can buy up to 2 outfits.

Step-by-step explanation:

440.12 + 2(12.86) + 19.26 + 53.96o ≤ 620

53.96o + 485.10 ≤ 620

53.96o ≤ 134.9

o ≤ 2.5

He can buy up to 2 outfits.

The radius of convergence, r, is 2. The series converges for values of x within the interval (-2, 2).

To find the radius of convergence, we can use the ratio test. Consider the series:

∑ (-1)^n * (x^n) / (2^n * ln(n))

Applying the ratio test:

lim |(-1)^(n+1) * (x^(n+1)) / (2^(n+1) * ln(n+1))| / |(-1)^n * (x^n) / (2^n * ln(n))|

= lim |x / 2 * ln(n+1) / ln(n)|

As n approaches infinity, the limit simplifies to:

| x / 2 |

For the series to converge, this limit must be less than 1:

|x / 2| < 1

Solving for x, we have:

-1 < x/2 < 1

Multiplying by 2, we get:

-2 < x < 2

Therefore, the radius of convergence, r, is 2. The series converges for values of x within the interval (-2, 2).

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The value of the number is 57/16

The mathematical statement is given as:

Nine times a number y subtracted from 85 is seven times the sum of four and y

Remove the above mathematical statement as an algebraic expression

85 - 9y = 7(4 + y)

Open the bracket

85 - 9y = 28 + 7y

Collect the like terms

9y + 7y = 85 - 28

Evaluate the like terms

16y = 57

Divide both sides by 16

y = 57/16

Hence, the value of the number is 57/16

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Fiber optic  type of cable is uses a two-number designator consisting of core and cladding measurements.

What does fiber optics serve?

What methods are used to deploy fiber optics?

Can fiber optics compete with the internet?

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The predicted value of f(3) is 108 using the third-order Taylor series expansion, and the true percent relative error for each approximation is ε₀ = 134.83%, ε₁ = 32.02%, ε₂ = 40.45%, and ε₃ = 39.33%.

The Taylor series expansion of the given function f(x) = 25x³ - 6x² + 7x - 88 about a base point x = 1 is given by:

Taylor series expansion for a function is given as:

f(x) = f(a) + f'(a)(x - a) + (f''(a)/2!)(x - a)² + (f'''(a)/3!)(x - a)³ + ... + Rn(a)

Where, a = 1, f(a) = 25(1)³ - 6(1)² + 7(1) - 88 = -62.

The first three derivatives of the function are:

f'(x) = 75x² - 12x + 7

f''(x) = 150x - 12f'''(x) = 150

The zeroth-order approximation is the same as f(1), i.e., -62.

The first-order approximation is given by:  

f₁(x) = f(a) + f'(a)(x - a)f₁(3) = -62 + [75(1)² - 12(1) + 7](3 - 1) = 121

The second-order approximation is given by:

f₂(x) = f(a) + f'(a)(x - a) + (f''(a)/2!)(x - a)²

f₂(3) = -62 + [75(1)² - 12(1) + 7](3 - 1) + [150(1) / 2!](3 - 1)² = 106

The third-order approximation is given by:

f₃(x) = f(a) + f'(a)(x - a) + (f''(a)/2!)(x - a)² + (f'''(a)/3!)(x - a)³

f₃(3) = -62 + [75(1)² - 12(1) + 7](3 - 1) + [150(1) / 2!](3 - 1)² + [150 / 3!](3 - 1)³= 108

The true value of the function f(3) = 25(3)³ - 6(3)² + 7(3) - 88 = 178

The true percent relative error, ε is given by:

ε = |(Approximate value - True value) / True value| × 100

For zeroth-order approximation, ε₀ = |(-62 - 178) / 178| × 100 = 134.83%

For first-order approximation, ε₁ = |(121 - 178) / 178| × 100 = 32.02%

For second-order approximation, ε₂ = |(106 - 178) / 178| × 100 = 40.45%

For third-order approximation, ε₃ = |(108 - 178) / 178| × 100 = 39.33%

Hence, the predicted value of f(3) is 108 using the third-order Taylor series expansion, and the true percent relative error for each approximation is ε₀ = 134.83%, ε₁ = 32.02%, ε₂ = 40.45%, and ε₃ = 39.33%.

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Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

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Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

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Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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The probability that they're both home is 1/12.

In the given question,

Probability of Maya at home P(A) = 1/3

And probability of Jim at home P(B) = 1/4

The probability that Jim is home given that maya is home P(A∪B) = 1/2

We have to find the probability when they both are at home P(A ∩ B).

As we can see that the probability of both the events are independent

So, we can use

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

Therefore,

1/2 = 1/3 +1/4 – P(A ∩ B)

P(A ∩ B) = 7/12 – 1/2

P(A ∩ B) = 1/12

Hence, the probability that they're both home is 1/12.

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Answer:

135

Step-by-step explanation:

the triangle is 90-45-45

the square is 90-90-90-90

where the two meet just add 45 + 90

135

Answer:

2(wl+hl+hw)=2·(3·10+5.5·10+5.5·3)=203

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

Answer:

19=13+5

Step-by-step explanation:

The Real Answer For 19=13+5 Is 18.

The events are mutually exclusive events, so P(A|B) is 0.

In this question,

If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then

⇒ A ∩ B = 0

Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)

⇒ \(\frac{0}{0.10}\)

⇒ 0.

Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.

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Given:

The given equation is:

\(16-3p=\dfrac{2}{3}p+5\)

To find:

The value of p.

Solution:

We have,

\(16-3p=\dfrac{2}{3}p+5\)

Multiply both sides by 3.

\(3(16-3p)=3\left(\dfrac{2}{3}p+5\right)\)

\(48-9p=2p+15\)

Isolating the variable terms, we get

\(48-15=2p+9p\)

\(33=11p\)

Divide both sides by 11, we get

\(\dfrac{33}{11}=p\)

\(3=p\)

Therefore, the required solution is \(p=3\).

Answer:

p=3

Step-by-step explanation:

i got it right on khan

Already ask and answered

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Answer:

The answer is (B)

Step-by-step explanation:

Answer:

\(f'(x) = \frac{4x}{2x^2+1}\)

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

Chain Rule: \(\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Derivative: \(\frac{d}{dx} [ln(u)] = \frac{u'}{u}\)

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

The jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d

From the question, we are to determine the jar that weighs more

From the given information

His jar of pennies weighs 84.96 ounces

and his jar of nickels weighs 3.11 kilograms

First, we will 84.96 ounces to kilogram

From the given conversion,

There are 0.0283495 kilograms per ounce

That is, 0.0283495 kg = 1 ounce

If 1 ounce = 0.0283495 kg

Then,

84.96 ounces = 84.96 × 0.0283495 kg

∴ 84.96 ounces = 2.4086 kg

His jar of pennies weighs 2.4086 kg

Since the John's jar of nickels weighs 3.11 kg, his jar of nickels weigh more.

3.11 kg - 2.4086 kg = 0.7014 kg

Convert 0.7014 kg to pounds

1kg =  2.20462 pounds

∴ 0.7014 kg = 0.7014 × 2.20462 pounds

0.7014kg ≅ 1.55 pounds

Hence, the jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d.

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The given statement, "the margin-of-error refers to the number of percentage points by which survey results may vary" is true because the margin of error is an important factor to consider when interpreting the results of a poll.

In a poll, the margin of error refers to the amount of random sampling error that is expected to be present in the results of the survey. It is a measure of the statistical uncertainty associated with using a sample of a population to make inferences about the opinions or characteristics of the entire population.

The margin of error is typically reported as a plus or minus percentage, such as "plus or minus 3 percentage points," and it represents the range of values within which the true population parameter is likely to fall with a certain level of confidence. For example, if a poll has a margin of error of plus or minus 3 percentage points with a 95% level of confidence, this means that if the poll were conducted 100 times, the results would be expected to fall within plus or minus 3 percentage points of the true population parameter in 95 of those surveys.

Therefore, the margin of error is an important factor to consider when interpreting the results of a poll and helps to provide a measure of the precision and reliability of the survey findings.

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Answer:

( 2,3 )

Step-by-step explanation:

when you reflect something on the y-axis, you are changing the x coordinate to it's opposite and the y coordinate stays the same. so in this case the -2 becomes a 2 and the 3 stays the same.