Find equations if the following lines: Line that is parallel to the graph of y = 3x – 2 and contains the point (-2,-5)

Answers

Answer 1

Answer: Y3to triangle pyramid -2

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Each marble bag sold by Melissa's Marble Company contains 3 orange marbles for every 5 blue marbles. If a bag has 24 orange marbles, how many blue marbles does it contain?
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Twenty percent of 150 is
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A tank holding 600 liters of milk is leaking. Each week it loses 60 liters of milk. Let M be the liters of milk remaining in the tank after leaking for t weeks.Is M a linear function or an exponential function?

Why?

Answers

linear, because the tank will eventually be empty. In about 10 weeks

Final answer:

The liters of milk remaining in the tank after leaking for t weeks is represented by an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent.

Explanation:

The function that represents the liters of milk remaining in the tank after leaking for t weeks is an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent. In this case, the liters of milk lost each week is constant, so the amount of milk remaining in the tank is decreasing exponentially over time.

Formula for exponential decay: M = P * (1 - r)^t, where M is the amount of milk remaining, P is the initial amount of milk, r is the rate of decay, and t is the number of weeks.

In this case, the initial amount of milk, P, is 600 liters and the rate of decay, r, is 60/600 = 0.1 (10%). So the exponential function that represents the liters of milk remaining after t weeks is M = 600 * (1 - 0.1)^t.

Learn more about Exponential decay here:

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Mrs. Stephan took her children to pick out pumpkins. Carter picked out a pumpkin priced $20, andIsabelle picked out a pumpkin priced at $13. How much did Mrs. Stephan pay for both pumpkins, including
7% sales tax?

Answers

Answer:

$35.31

Step-by-step explanation:

In this question, we're trying to find the total cost of the pumpkins (including tax).

We know that Carter picked a $20 pumpkin, while Isabelle picked a $13 pumpkin.

We also know that the sales tax is 7%

To get your answer, we would add the prices of the pumpkin and find the tax price to get our final answer.

Find the total cost:

20 + 13 = 33

Since the sales tax is 7%, we would multiply 33 by 1.07:

33 · 1.07 = 35.31

Mrs. Stephan paid $35.31 for the pumpkins and sales tax.

Determine the smallest 6 digit number which is exactly divisible by 8,15,and21

Answers

Find the least common multiple of 8, 15, and 21. . . . . . It's 280 .

So all the numbers divisible by 8, 15, and 21 are all the multiples of 280.

The smallest 6-digit number is 100,000 .

100,000 / 280 = 357.1 , so the next whole-number multiple is the 358th one.

280 x 358 = 100,240 .

You can tell right away that this is the smallest one that qualifies,
because if you take away 280 and go to the next smaller multiple,
it won't have 6 digits anymore.

What is 121.06 in expanded form

Answers

$121.06=100+20+1+0.06\n\n=1\cdot10^2+2\cdot10^1+1\cdot10^0+0\cdot10^(-1)+6\cdot10^(-2)$

A real estate agent is working for a developer who claims that the average commute time to downtown is 20 minutes with a standard deviation of 7 minutes. Stephon is an independent real estate agent and wants to check the times for his client. He took a random sample of 15 commute times and found an average of 26 minutes. He did hypothesis testing using a significance level of 5%. Which conclusion could he make?

Answers

To calculate the z-statistic, we must first calculate the standard error.

Standard error is standard deviation divided by the square root of the population. In this case, it is equal to 1.81.

The z-score is defined the distance from the sample to the population mean in units of standard error.

z = (26 – 20)/1.81 = 3.31

at this z-score = 0.0005 which is less than 5%

the answer is C. the z- statistic is 3.32, so the null hypothesis should be rejected.

Find y on the triangle that has sides length of 7 and x

Answers

The lengths of two sides is not enough information to determine a unique triangle. There are an infinite number of possible correct answers.

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Tammy is at the dentist's office waiting on her appointment. She notices that the 6-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.Part 1: How many radians does the minute hand move from 1:20 to 1:55? (Hint: Find the number of degrees per minute first.)Part 2: How far does the tip of the minute hand travel during that time?Part 3: How many radians on the unit circle would the minute hand travel from 0° if it were to move 5π inches?Part 4: What is the coordinate point associated with this radian measure?

in japan, farmers have created watermelons in the shape of rectangular prisms. find the volume of a prism-shaped watermelon in cubic inches if its length is 10 inches, its width is 2/3 foot, and its height is 9 inches

On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2).Which expression can be used to find the area of triangle RST?(8 ∙ 4) - One-half (10 + 12 + 16) (8 ∙ 4) - (10 + 12 + 16)(8 ∙ 4) - One-half (5 + 6 + 8)(8 ∙ 4) - (5 - 6 - 8)

Solve the inequality.–4s < –8 s < –4 s < 2 s > –4 s > 2