Use the figure showing two parallel lines cut by a transversal.
Find m∠6 if m∠1 = 43°.

Answer:

wheres the picture dude

Step-by-step explanation:

The area of the surface obtained by rotating the curve x = 20 cos(3θ), y = 20 sin(3θ), where 0 ≤ θ ≤ π/2, about the x-axis is calculated using the formulA for surface area of revolution

To find the area of the surface, we can use the formula for the surface area of revolution. Given a curve defined parametrically by x = f(θ) and y = g(θ), where α ≤ θ ≤ β, the surface area obtained by rotating the curve about the x-axis is given by:

A = ∫[α,β] 2πy √(1 + (f'(θ))²) dθ

In this case, we have x = 20 cos(3θ) and y = 20 sin(3θ), with 0 ≤ θ ≤ π/2. Taking the derivatives, we find f'(θ) = -60 sin(3θ) and g'(θ) = 60 cos(3θ).

Plugging these values into the surface area formula and simplifying, we get:

A = ∫[0,π/2] 2π(20 sin(3θ))(√(1 + (-60 sin(3θ))²)) dθ

Evaluating this integral will give us the exact value of the surface area of the rotated curve about the x-axis within the given range of θ.

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Answer:

Eden

Step-by-step explanation:

Answer:

it has D'Andrea

Step-by-step explanation:

Because here we are using direct variation and the formula is y=kx and k=y/x. I used k=y/x You divide 176 by 4 and you'll get 44 that's D'Andrea and the you divide 215 by 5 and you get 43 for Eden. you can see you does more sit up

Answer:

4 and 6.2

Step-by-step explanation:

ABC=sqrt(2.4^2+3.2^2)=4

ABD=sqrt(2.4^2+3.2^2+4.8^2)=6.2

Answer:

True an angle is two intercepting line segments that share an point

False The definition of a square is it has to have four congurent angles ,sides and 2 sets of parallel lines.

Step-by-step explanation:

The 3 choice statements about Josiah's solution are :

1.)  He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.

2) He did not multiply the numerator and denominator by the correct number to equal 1,500.

5) He should have multiplied the numerator and denominator by 75, not 30,  because 20 x 75 = 1,500.

A mathematical solution is described as an assignment of values to the unknown variables that makes the equality in the equation true.

Josiah's mistake can be found in the case where he did not  multiply the numerator and denominator by the correct number to equal 1,500 which indicates that  the products are not well carried out.

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Answer:

Consider the right triangle below: State the Pythagorean Theorem as it relates to the above triangle. List the trig identities as they relate to the triangle above. Now suppose hypotenuse C represents a vector R, while sides B and A represent vector components Rx and Ry respectively. Redraw the triangle with the new labels below. Using Pythagorean Theorem, derive the equation for R.

The federal government only has powers written in the constitution and the rest or for the states

The angle β, given the terminal point(sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

To determine the angle β given the terminal point on a unit circle, we can use the trigonometric functions sine and cosine.

The terminal point of β is (sqrt(2)/2, sqrt(2)/2). Let's denote the angle β as the angle formed between the positive x-axis and the line connecting the origin to the terminal point.

The x-coordinate of the terminal point is cos(β), and the y-coordinate is sin(β). Since the terminal point issqrt(2)/2, sqrt(2)/2). we have:

cos(β) = sqrt(2)/2

cos(β) = sqrt(2)/2

We can recognize that sqrt(2)/2 is the value of the cosine and sine functions at π/4 (45 degrees) on the unit circle. In other words, β is equal to π/4 radians or 45 degrees.

So, β = π/4 or β = 45 degrees.

In summary, the angle β, given the terminal point (sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

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Answer:

Hmm, remember to use distributive property with the fraction and the numbers in the parenthesis.

Step-by-step explanation:

B and D are perfect squares.

Simply plug \(\sqrt{81}\) and \(\sqrt{144}\) into a calculator.

B explanation:

9 x 9 = 81

D explanation:

12 x 12 = 144

Answer:

The answer should be a letter which is t.

Step-by-step explanation:

1) Simplify 2/3t to 2t/3.

\( \frac{2t}{3} \times 1 \frac{1}{2} \)

2) Convert 1 1/2 to improper fraction. Use this rule: a b/c = ac+b/c.

\( \frac{2t}{3} \times \frac{1 \times 2 + 1}{2} \)

3) Simplify 1 × 2 to 2.

\( \frac{2t}{3} \times \frac{2 + 1}{2} \)

4) Simplify 2 + 1 to 3.

\( \frac{2t}{3} \times \frac{3}{2} \)

5) Cancle 3.

\(2t \times \frac{1}{2} \)

6) Cancle 2.

\(t\)

Therefor, the answer for this equation is a letter which is t.

Answer:

your answer would be t

Step-by-step explanation:

Answer:

80 units

Step-by-step explanation:

triangle abc will be isosceles right triangle. angle bae and angle bce is 45° . same with triangle bcd.

take triangle aeb. angles bae and bce are 45°

sum of angles in triangle is 180

so aeb = 180 - 90=90°

6x = 90

x = 15

side = 2x-10 = 2*15 - 10 = 20

perimeter = 80units

At a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.

What is the null hypothesis in statistics?

The null hypothesis in inferential statistics states that two possibilities are the same. The null hypothesis states that the observed difference is solely due to chance. The likelihood that the null hypothesis is true can be calculated using statistical tests.

Sample size, n =1500

The sample proportion of the chips that do not fail in the first 1000 hrs of their use, \(\hat{p} = 0.69\)

Null Hypothesis, H0: p=0.72

Alternate Hypothesis, \(Ha: p \neq 0.72\)

Test statistic,

\(z= \frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}} - \frac{0.69-0.72}{\sqrt{\frac{0.72(1-0.72)}{1500}}} = -2.5877\)

Critical Value,

\(Z_{0.05/2} =\)±1.96

Now, since the absolute value of the test statistic i.e, 2.5877 is greater than the absolute value of the critical value i.e, .1.96, thus we will reject the null hypothesis.

Thus at a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.

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Answer:

d. about $1.65 billion

Step-by-step explanation:

$1.8 billion × .916 = $1.6488 billion, or about $1.65 billion

Answer:

D

Step-by-step explanation:

Answer:

\(\sqrt{-3}\)

Step-by-step explanation:

Since each of these answers contain a radical, you want to find the one that has a negative value, because technically sqrt(some negative number) isn't defined, or rather it has no real solution. This is because you can rewrite a radical as \(\sqrt{a * b} = \sqrt{a} * \sqrt{b}\). And since \(i = \sqrt{-1}\) you can rewrite \(\sqrt{-3}\) as \(\sqrt{-1} * \sqrt{3}\) which becomes \(i\sqrt{3}\)

Answer:

The answer is −42

This is an example study method about:

4. controlled experiment

This is a controlled experiment because the puppies are randomly assigned to two groups: one group receiving the new drug and the other receiving a placebo. This is done to control for any external factors that could affect the outcome of the study, and to ensure that any observed differences in the health of the puppies can be attributed to the drug being tested. Additionally, the veterinarians are monitoring the puppies, which is a key aspect of a controlled experiment.

Controlled experiments are a common and widely used method in many fields, including medicine, psychology, and the natural sciences. They are particularly useful in evaluating the effectiveness of a new treatment or intervention, as they allow researchers to control for other variables that may affect the outcome and isolate the specific effects of the treatment being tested. In many cases, the results of controlled experiments are considered to be the most reliable and valid evidence for determining cause-and-effect relationships.

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Answer: \(D. 6\sqrt{x} 2\) is the answer

Step-by-step explanation:

The equation is y = 2.50x + 10.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Here, we have

Given: An international data plan charges $10.00 for 4GB of data. Anything over 4GB is priced at $2.50 per GB.

We have to find the equation that can be used to find y, the total cost of the international plan, if x represents the number of GB over 4.

Let the total cost of the international plan = y

x be the cost of the plan for over 4 GB.

Fixed charge for 4 GB = $10

Now y = 2.50x + 10

Hence, the equation is y = 2.50x + 10.

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The correct term for a sample obtained in such a way that every element in the population has an equal chance of being selected is a "random sample."

In a random sample, each member of the population has an equal probability of being chosen, providing a representative subset of the population. This sampling method helps to reduce bias and ensures that the sample is more likely to accurately reflect the characteristics of the entire population.

Random sampling is a fundamental principle in statistics and research, allowing for generalizations and inferences to be made about the population based on the characteristics observed in the sample. It is widely used in various fields, such as social sciences, market research, and opinion polls, to draw meaningful conclusions about a larger population.

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Answer:

Step-by-step explanation:

boody boody

Answer:

B is the answer

Step-by-step explanation:

The solution of the inequalities is x > 6 or x < -4

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.

8 – 6x < −28 or 9x + 5 < −31

collect like terms and solve for x in both inequalities:

For 8 – 6x < −28:

8 – 6x < −28

-6x < -28 - 8

-6x < -36

-x < -36/6

-x < -6

x > 6

For 9x + 5 < −31:

9x + 5 < −31

9x < -31 - 5

9x < -36

x < -36/9

x < -4

Thus, the solution is x > 6 or x < -4

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Answer:

B. √3/2.

Step-by-step explanation:

If we follow the circle from (1,0) clockwise through 240 degrees we end up at 120 degrees.

sin(120)

= √3/2

Answer:

7a - 21 + 28b

Step-by-step explanation:

using the distributive property we can multiply 7 to the numbers in the paretheses. doing this we get:

7a - 21 + 28b

Answer:

B

Step-by-step explanation:

The probability that at least one of the 5 people selected has been vaccinated is 0.998, or 99.8%.

To solve this problem, we can use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we're interested in is at least one person being vaccinated.
First, we need to find the probability that none of the 5 people selected have been vaccinated. Since 62% of the population has been vaccinated, that means 38% have not been vaccinated. So the probability of any one person not being vaccinated is 0.38.
Using the multiplication rule for independent events, the probability that all 5 people have not been vaccinated is:
0.38 x 0.38 x 0.38 x 0.38 x 0.38 = 0.002
Now we can use the complement rule to find the probability that at least one person has been vaccinated:
1 - 0.002 = 0.998
So the probability that at least one of the 5 people selected has been vaccinated is 0.998, or 99.8%.

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The account that will give Grady at least a 5% annual yield is Account C

We can use the formula for compound interest to compare the three investment accounts and find the one that will give Grady at least a 5% annual yield:

FV = PV × (1 + r/n)^(n*t)

where FV is the future value, PV is the present value, r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the number of years.

For Account A:

APR = 4.95%, compounded monthly

r = 0.0495

n = 12

t = 1

FV = PV × (1 + r/n)^(nt)

FV = PV × (1 + 0.0495/12)^(121)

FV = PV × 1.050452

To get at least a 5% annual yield, we need FV/PV ≥ 1.05

1.050452/PV ≥ 1.05

PV ≤ 1.000497

Therefore, Account A will not give Grady at least a 5% annual yield.

For Account B:

APR = 4.85%, compounded quarterly

r = 0.0485

n = 4

t = 1

FV = PV × (1 + r/n)^(nt)

FV = PV × (1 + 0.0485/4)^(41)

FV = PV × 1.049375

To get at least a 5% annual yield, we need FV/PV ≥ 1.05

1.049375/PV ≥ 1.05

PV ≤ 1.000351

Therefore, Account B will not give Grady at least a 5% annual yield.

For Account C:

APR = 4.75%, compounded daily

r = 0.0475

n = 365

t = 1

FV = PV × (1 + r/n)^(nt)

FV = PV × (1 + 0.0475/365)^(3651)

FV = PV × 1.049038

To get at least a 5% annual yield, we need FV/PV ≥ 1.05

1.049038/PV ≥ 1.05

PV ≤ 1.000525

Therefore, Account C will give Grady at least a 5% annual yield.

Therefore, the account that will give Grady at least a 5% annual yield is Account C.

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Answer: Dilation

Step-by-step explanation: Dilations are when a shape is transformed into something bigger or smaller