Question 17 of 25
Which is a correct expansion of (3x+2)(3x² + 4)?
OA. 3x 3x² + 3x • 4+2·3x²+2 • 4
OB. 3x. 3x² + 3x• 4+2·3x+2·4
O C. 3x. 3x²+2·3x² + 3x².4+2·4

Answers

Answer 1

Answer:

A is the answers for the question

Step-by-step explanation:

please mark me as brainlest


Related Questions

In the figure, line p || line q. Find the measure of each angle if m<8 = 115

Answers

Answer:

65, 65, 115

Step-by-step explanation:

Attached image

round to 1 significant figure and estimate 423 x 764

Answers

Answer:

300,000

Step-by-step explanation:

423 x 764 = 323,172


What is the solution set for the following equation?
x² = 16

Answers

Answer:

[tex]\{4,-4\}[/tex]

Step-by-step explanation:

[tex]~~~~x^2 = 16\\\\\implies x = \pm\sqrt{16}\\\\\implies x =\pm 4\\\\\implies x = 4 ,~ x = -4[/tex]

Answer:

x = 4

Step-by-step explanation:

x² = 16

We do the opposite of x² , so we [tex]\sqrt{x}[/tex] (square root) both sides

[tex]\sqrt{x}[/tex] = [tex]\sqrt{16}[/tex] = 4

to confirm this, we can square 4, which gets us 16.

Hope this makes sense! Feel free to ask anything further if need be.

- profparis

What are the last two digits of 1 * 2 * 3 * 4 *...*2319*2320*2321*2322 ?

Answers

Answer:

1:19

2:20

3:21

4:22

Step-by-step explanation:

I think that's the answer

A botanist wants to determine if a fertilizer is effective
in the growth of plants. He selects the first 100 plants
of the same type of seedling from a greenhouse and
assigns the first 50 to the group that uses the fertilizer
and remaining seedlings to the group that does not
use fertilizer. He makes sure the plants all have the
same amount of water, soil, and light for two months.
At the end of two months, he measures the heights of
the plants and finds that the ones receiving the
fertilizer are significantly taller.
Which of the following is a valid conclusion?
Inferences can be made for all plants, and the
conclusion can be drawn that the fertilizer will help
all plants grow taller.
Inferences cannot be made for all plants, and the
conclusion can be drawn that the fertilizer will help
all plants grow taller.
Inferences can be made for these types of plants,
and the conclusion can be drawn that the fertilizer
will help these types of plants grow taller.
Inferences cannot be made for these types of
plants, and the conclusion cannot be drawn that the
fertilizer will help these types of plants grow taller.

Answers

Based on the information provided, the statement which is a valid conclusion is only: option A.

What is a valid conclusion?

A valid conclusion can be defined as a statement that is essentially based on empirical data, formulated hypotheses, facts, and prudent experimental design, which entails that relationship between data variables are reasonable, credible and valid.

Based on the information provided, the statement which is a valid conclusion is that the botanist can make inferences for all plants, and he can draw his conclusion that the fertilizer would help all plants grow taller.

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Answer: C

Step-by-step explanation:

Inferences can be made for these types of plants, and the conclusion can be drawn that the fertilizer will help these types of plants grow taller

Does the graph show a linear function?

Answers

Answer:

The graph does show a linear function

Step-by-step explanation:

The line is decreasing at a constant rate that keeps the line straight.

sally works in a factory that produces 1,000 televisions each day. when 40 televisions were sampled, it was found that 6 were defective. estimate how many defective televisions are made each day

Answers

An estimate of the number of defective televisions that are made each day is 150.

How many defective televisions are made each day?

The first step is to determine the ratio of the televisions sampled to the total number of televisions produced each day.

1000 / 40 = 25

The second step is to multiply, 25 by 6: 25 x 6 = 150

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given the triangle below what is m<a, round to the nearest tenth?

Answers

The measure of angle A  is 17.8

The correct  option is (A)

What is angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

As,  perpendicular from B to side AC

In triangle BDC,

its angles are 30°, 60° and 90°

So, the sides ratio be 1 :√3 : 2

Now,

BD : DC : BC = 1 :√3 : 2

= 11√3/2 : 11/2 : 11

Now, using trigonometry

Sin A = P /H

Sin A = BD/AB

=(11/2)/18

= 11/36

= 0.3055

m<A = 17.79 ≈ 17.8°

hence, the measure of A  is 17.8°.

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Select the correct answer from the drop-down menu. Simplify the expression. (1-cot(r))^2/cot(r)

Answers

The simplified form of the given expression is tan(r) + cot(r) - 2

Simplifying trigonometric functions

From the question, we are to simplify the given trigonometric function

The given trigonometric function is

[tex]\frac{(1-cot(r))^{2} }{cot(r)}[/tex]

Expanding, we get

[tex]\frac{(1-cot(r))(1-cot(r)) }{cot(r)}[/tex]

Simplifying

[tex]\frac{1 - 2cot(r) +cot^{2}(r) }{cot(r)}[/tex]

[tex]\frac{1}{cot(r)} -\frac{2cot(r)}{cot(r)}+\frac{cot^{2}(r) }{cot(r)}[/tex]

[tex]\frac{1}{cot(r)} -2+cot(r)[/tex]

Recall: [tex]tan(x) = \frac{1}{cot(x)}[/tex]

Therefore, we get

[tex]tan(r) -2 + cot(r)[/tex]

[tex]tan(r) + cot(r)-2[/tex]

Hence, the simplified form of the given expression is tan(r) + cot(r) - 2.

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M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?

A.
5 units
B.
9 units
C.
10 units
D.
12 units
This is for edmentum btw

Answers

The length is C- 10
10units to easy and im sure 100%

Select the correct answer. what is the solution set of y = x2 2x 7 and y = x 7? a. {(0, 7), (-1, 6)} b. {(0, 7), (-7, 0)} c. {(0, 7), (1, 8)} d. {(-2, 0), (4, 0)}

Answers

Answer:

a. {(0, 7), (-1, 6)}

Step-by-step explanation:

[tex]y = x^{2} +2x+7\\y=x+7[/tex]

subtract the equations

[tex]y = x^{2} +2x+7 \\- \ \ \ \ \ y=x+7\\y - y =x^{2} +2x+7-(x+7)\\0=x^{2} +x\\x = 0 \ and \ x= -1[/tex]

for [tex]y = x^{2} +2x+7[/tex], substitute x = 0

[tex]y = (0)^{2} +2(0)+7\\y = 0 +0+7\\y=7[/tex]

for [tex]y = x^{2} +2x+7[/tex], substitute x = 0

[tex]y = (-1)^{2} +2(-1)+7\\y = 1 -2+7\\y=6[/tex]

Answer:

A

Step-by-step explanation:

x^2 - 3x - 28 factor compleatly

Answers

Answer:

Step-by-step explanation:

x² - 3x - 28

What factors multiply to -28 and add to -3?

-7 and 4.

(x - 7) (x + 4)

Answer:

(x - 7)(x + 4)

Step-by-step explanation:

To find the factors, you just need to ask yourself the question: Which two numbers multiply to -28 but add to -3?

Simple guess-and-check will lead you to the numbers -7 and 4.

-7 x 4 = -28

-7 + 4 = -3

These numbers will make up the factored equation.

x² - 3x - 28

(x - 7)(x + 4)

You can check your answer by re-expanding the factored expression. This is done by multiplying each term in the first parentheses by each term in the second parentheses.

(x - 7)(x + 4)  ---->  x² - 7x + 4x - 28  ---->  x² - 3x - 28

PLEASE HELP ASAP
solve for x

Answers

Answer:

29.44

Step-by-step explanation:

Since we know the both the measure of the angle and the adjacent line of the angle, we can use tan to find x.

tan is (Opposite/Adjacent Line)

[tex] \tan(31) = \frac{x}{49} \\ 49 \tan(31) = x \\ 29.44 = x[/tex]

That is the answer

- Kan Academy Advance

Given that x= 7.4m and θ= 32°, work out BC rounded to 3 SF.

(not drawn accurately.)

Answers

Answer:

BC ≈ 11.8 m

Step-by-step explanation:

using the tangent ratio in the right triangle

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] , that is

tan32° = [tex]\frac{x}{BC}[/tex] = [tex]\frac{7.4}{BC}[/tex] ( multiply both sides by BC )

BC × tan32° = 7.4 ( divide both sides by tan32° )

BC = [tex]\frac{7.4}{tan32}[/tex] ≈ 11.8 m ( to 3 sf )

Select the correct answer from each drop-down menu. policy is the actions taken by the to influence the real gdp and the inflation rate in the economy.

Answers

Monetary policy is the actions taken by the reserve banks to influence the real GDP and the inflation rate in the economy.

What is Monetary policy?

These are actions done by the central bank of a country and involves adjusting money supply so as to achieve economic growth.

This influences the real gross domestic product and inflation rate of the country .

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Answer: Monetary and Reserve Bank

Step-by-step explanation:

;)

Business Success Restaurant owners are continually monitoring financial aspects and customer relations of their business. They use collected data to recognize trends, predict outcomes, and plan for the future. In this task, you will play the role of a restaurant owner. You will collect data and analyze different aspects of your business. As you complete the task, keep these questions in mind: Can you predict sales based on factors such as the weather and the number of customers? Can you estimate the amount you will earn in tips on a given day based on the number of customers? Directions: Complete each of the following tasks, reading the directions carefully as you go. You may use a piece of graph paper for this task. Round all decimals to the nearest hundredths place or to the nearest cent for this task. You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all of your work and to answer each question as you complete the task. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations. Your teacher will give you further directions on submitting your work. You may be asked to upload the document, e-mail it to your teacher, or hand in a hard copy. Now let’s get started! Step 1: Constructing and analyzing scatterplots You keep track of the daily hot chocolate sales and the outside temperature each day. The data you gathered is shown in the data table below. Hot Chocolate Sales and Outside Temperatures Sales ($) $100 $213 $830 $679 $209 $189 $1,110 $456 $422 $235 $199 Temperature (°F) 92° 88° 54° 62° 85° 16° 52° 65° 68° 89° 91° a) ​Make a scatterplot of the data above. (2 points) b) Do you notice clusters or outliers in the data? Explain your reasoning. (2 points) c)​How would you describe the correlation in the data? Explain your reasoning. (2 points) d) What are the independent and dependent variables? (2 points)

Answers

Answer:

They use collected data to recognize trends, predict outcomes, and plan for the future.

Step-by-step explanation:

Is 3²+3³ equal to 3⁵?
( yes, no ) the expressions (are, are not ) equal

Answers

Answer: No the expressions are not equal

Work Shown:

3² = 3*3 = 9

3³ = 3*3*3 = 27

3²+3³ = 9+27 = 36

3⁵ = 3*3*3*3*3 = 243

The 3²+3³ = 36 doesn't match up with 3⁵ = 243

Therefore, the two expressions are not equal.

Answer:

Step-by-step explanation:

No, the expressions are not equal.

3^2 + 3^3 = 9 + 27 = 36

3^2 * 3^3 = 3^5

keep the base the same and add the exponents

Ten cars were recently assembled at a factory. Of these
cars, 3 will be picked at random for inspection. Of the
10 cars, 5 are blue and 5 are grey. What is the
probability that all 3 cars picked for inspection will be
blue?

Answers

Answer:

1/12

Step-by-step explanation:

Gerrie collects honey from a few
beehives. She scoops out the honey
with a small jar that holds of a cup.
Over the last two weeks Gerrie has
filled this jar 158 times. How many
cups of honey has she collected?

Answers

The number of the cups of honey has she collected will be 52 and 2/3 cups.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Gerrie collects honey from a few beehives.

She scoops out the honey with a small jar that holds 1/3 of a cup.

Over the last two weeks, Gerrie has filled this jar 158 times.

1 small jar = 1/3 cup

But we have done this for 158 times. Then we have

158 small jar = 158 x 1/3 cups

158 small jar = 52 and 2/3 cups

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The scatter plot shows the relationship between the saturation specific humidity, in grams per kilogram of air, and the ambient temperature, in degrees celsius, of the atmosphere. which type of relationship would best model this data?

Answers

By critically observing the scatter plot (see attachment), the type of relationship that would best model this data is positive nonlinear.

The types of relationship in a scatter plot.

In Statistics, there are four (4) main types of relationship (association) in a scatter plot and these include the following:

Positive linear association.Negative linear association.No association (None).Non-linear association.

By critically observing the scatter plot shown in the image attached below, we can logically deduce that the type of relationship that would best model this data is positive nonlinear because the change in one of the variables doesn't result in a constant change in other variables.

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What is the difference of the fractions? Use the number line to help find the answer.

StartFraction 1 over 5 EndFraction minus three-fourths

A number line going from negative 1 to positive 1 in increments of StartFraction 2 over 20 EndFraction.
Negative StartFraction 19 over 20 EndFraction
Negative StartFraction 11 over 20 EndFraction
StartFraction 11 over 20 EndFraction
StartFraction 19 over 20 EndFraction

Answers

The result of the expressionn 1/5 - 3/4 will be negative 11/20. Then the correct option is C.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The expression is given below.

⇒ 1/5 - 3/4

⇒ (4 - 15) / 20

⇒ -11 / 20

Then the correct option is C.

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Answer:

c

Step-by-step explanation:

Kaminsky’s bronze sculpture is 5 feet in diameter, which is approximately 1.524 meters. If the sculpture was made of solid bronze, its weight could be approximated using the density of bronze , the volume, , in cubic meters, the mass, , in kilograms and applying the formula . Approximately, how many pounds would the sculpture weigh if it was made of solid bronze?

Answers

The weight of the spherical sculpture in pounds is approximately 251607 pounds

How to find the weight of the sculpture in pounds?

The sculpture is spherical and its made of solid bronze.

Therefore,

density  =  mass   /   volume

where

density  =  7700  kg  / m³

volume  = 4 / 3πr³

volume = 4/ 3  × 3.14  × 1.524³

volume  =  44.4574491494 / 3

volume = 14.8191497165 m³

Therefore,

mass = 7700 × 14.8191497165

mass = 114107.452817 kg

1 kg = 2.205 pounds

114107.452817 = ?

cross multiply

mass in pounds = 114107.452817 × 2.205

mass in pounds = 251606.933461

mass in pounds = 251607 pounds

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Can anyone help? 80 points!

Answers

Answer:

D) [tex]4x^2y^3\sqrt[3]{x^2y}[/tex]

Step-by-step explanation:

Given expression:

[tex](8x^4y^5)^{\frac{2}{3}[/tex]

Simplify in steps, using below properties of exponents:

[tex]a^ba^c= a^{b+c}[/tex]       Product of Powers Property[tex](a^b)^c=a^{bc}[/tex]        Power of Power Property

Solution:

[tex](8x^4y^5)^{\frac{2}{3} =[/tex][tex](2^3x^4y^5)^{\frac{2}{3} =[/tex][tex]2^{\frac{3*2}{3}} x^{\frac{4*2}{3}} y^{\frac{5*2}{3}} =[/tex][tex]2^2x^{\frac{8}{3}}y^{\frac{10}{3} =[/tex][tex]4x^{2\frac{2}{3}}y^{3{\frac{1}{3} =[/tex][tex]4x^2x^{\frac{2}{3}} y^3y^{\frac{1}{3}} =[/tex][tex]4x^2y^3(x^2y)^{\frac{1}{3}}=[/tex][tex]4x^2y^3\sqrt[3]{x^2y}[/tex]

Correct choice is D

Answer:

[tex]4x^2y^3\sqrt[3]{x^2y}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(8x^4y^5\right)^{\frac{2}{3}}[/tex]

Rewrite 4 as (3 + 1) and 5 as (3 + 2):

[tex]\implies \left(8x^{(3+1)}y^{(3+2)}\right)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]

[tex]\implies \left(8x^3xy^3y^2}\right)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 8^{\left(\frac{2}{3}\right)}x^{\left(3 \times\frac{2}{3}\right)}x^{\left(\frac{2}{3}\right)}y^{\left(3 \times \frac{2}{3}\right)}y^{\left(2 \times \frac{2}{3}\right)}}[/tex]

[tex]\implies 4x^2x^{\frac{2}{3}}y^2y^{\frac{4}{3}}[/tex]

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\frac{4}{3}}[/tex]

Rewrite 4/3 as 1 + 1/3:

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\left(1+\frac{1}{3}\right)}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^1y^{\frac{1}{3}}[/tex]

[tex]\implies 4x^2y^2y^1x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 4x^2y^{(2+1)}x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\implies 4x^2y^3x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies 4x^2y^3\left(x^2\right)^{\frac{1}{3}}y^{\frac{1}{3}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot c^b=ac^b:[/tex]

[tex]\implies 4x^2y^3\left(x^2y\right)^{\frac{1}{3}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{\frac{1}{n}}=\sqrt[n]{a}:[/tex]

[tex]\implies 4x^2y^3\sqrt[3]{x^2y}[/tex]

Each of the teams in a mixed volleyball league consists of 5 men and 5 women. there are 9 men and 10 women, including julia, who are trying out for a team. how many possible teams would include julia? 15,876 31,752 45,722,880 457,228,800

Answers

Using the combination formula, it is found that 15,876 teams would include Julia.

The order in which the people are chosen to the team is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

5 men are chosen from a set of 9.4 women are chosen from a set of 9(as Julia is already on the team).

Hence the number of teams is given by:

[tex]C_{9,5} \times C_{9,4} = \frac{9!}{5!4!} \times \frac{9!}{5!4!} = 15876[/tex]

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Miguel and Lauren are testing two versions of a new video game. in Miguel's version he receives 25 points at the start of the game, plus one point for each level he completes. In Laurens version she receives 20 points at the start of the game, and 2 points for each level she completes. at what level will they have the same amount of points ?

Answers

Answer: 5 levels

Step-by-step explanation:

      We will set up a system of equations and solve. Let x be the number of levels beaten, and let y be the number of total points.

          Miguel's version:

              y = 1x + 25

          Lauren's version:

              y = 2x + 20

      Now, we will graph both equations. The x-coordinate of the point-of-intersection is the answer to our question.

          See attached.

             The lines intersect at (5, 30) meaning they will have the same number of points after 5 levels, with 30 points.

A ___ is an instrument used to draw circles and arcs.

Answers

Answer: A compass.

Step-by-step explanation: an instrument for drawing circles and arcs and measuring distances between points, consisting of two arms linked by a movable joint, one arm ending in a point and the other usually carrying a pencil or pen.

What is this expression in simplified form?
2√2-7√18

Answers

Answer: Heyaa! ~

Your Answer in simplified form is... −19√2

Step-by-step explanation:

2√2-7√18 = −19√2

Pull terms out from under the radical, assuming positive real numbers.

Hopefully this helps you! ~

Find the mean, median, and mode(s) of the data with and without the outlier.

45, 52, 17, 57, 42, 54, 58

Answers

Answer:

Mean = 48.5, Median = 53, Mode = nothing, Outlier = 17

Step-by-step explanation:

Mean: Add all the numbers (388) then divide by how many numbers (8) are there. (= 48.5)

Median: Is the middle number () so you have to order them from least to greatest (17, 42, 45, 52, 54, 57, 58, 63) and then just keep marking them off left, right, left, right... until you get to the middle. But since there are two numbers (52, 54) you have to add them (106) then you divide by 2 (53).

Mode: Is the number that shows up the most. In this case none of them do.

Outlier: The number that is farthest from the other numbers (17).

Mean: 46.42
Median: 52
Mode: non

1.5 Determine the degree of the following algebraic expressions:
a. √3xyz - 5
b. y² - 3y5-y + 2y³ - 4
c. -10³

Answers

By identifying the largest exponent in each expression, we see that the answers are:

a) D = 3.

b) D = 5.

c) D = 0.

How to determine the degree of an expression?

The degree is just the largest exponent of the variable in an expression.

First, we have:

a) √3xyz - 5

The largest exponent is on the term √3*xyz is 3 (because we add the 3 exponents 1 of x, y, and z) so this expression has a degree of 3.

b)  y² - 3y⁵ -y + 2y³ - 4

Here the largest exponent is on the second term, so we can see that the degree is 5.

c) -10³

Here we don't have a variable, so this is a constant, which means that the degree is zero, because we could write:

-10³*x⁰

Where we use the fact that x⁰ = 1

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Ann bought 2 pounds of cheese to make lasagna. the recipe gives the amount of cheese needed in ounces. how many did she buy?

Answers

Answer:

Ann bought 32 ounces of cheese.

Step-by-step explanation:

First of all, that is a lot of cheese, I hope she is not lactose intolerant.

Second of all, one pound is equivalent to 16 ounces. Given this, we can multiply the pounds of cheese by 16.

That would look like 2×16=32.

I hope this answer helped you and also made you laugh. It is correct though, despite the comedy.

Other Questions
26. Identify the word that has an error in capitalization.Did you know that the largest lake in North America is Lake Superior?O NorthO AmericaO SuperiorO no error What is the area of the figure? The figure is not drawn to scale. A. 5.1 cm2 B. 11.7 cm2 C. 27.72 cm2 D. 55.44 cm2 In the context of the text, how do people create change? Why is it important to stand up for what you believe in? Cite evidence from this text, your own experience, and other literature, art, or history in your answer in Article : Rosa Park Write a letter to your pen friend promising to visit him/her after final exam. (10) Once the pile of splits became big enough to sit on, she did. (11) She sat with her long legs closebeneath her, booted feet spread wide, pulled headphones from a pocket and clamped them over herears, then turned on The Sounds of Tranquil Shores. (12) While frosty bits gathered in her hair and on hershoulders she raised the volume of those ocean sounds. (13) Ree needed often to inject herself withpleasant sounds, stab those sounds past the constant screeching, squalling hubbub regular life raisedinside her spirit, poke the soothing sounds past that racket and down deep where her jittering soulpaced on a stone slab in a gray room, agitated and endlessly provoked but yearning to hear somethingthat might bring a moment's rest. (14) The tapes had been given to Mom who already heard too manypuzzling sounds and did not care to confront these, but Ree tried them and felt something unknot. (15)She also favored The Sounds of Tranquil Streams, The Sounds of Tropical Dawn, and Alpine Dusk. The second paragraph (sentences 10-15) suggests that Ree listens to ocean sounds and other recordings in order to How has the sales tax influenced some people in the United States over time?It has been used to encourage fewer people to buy a product.It has caused companies to increase production of their products.It has led to the creation of products that are less safe.It has forced the government to provide fewer services to people. What is the surface area of the solid that this net can form?13 cm5cm13cm5 cm13 cm106 square centimeters150 square centimeters210 square centimeters270 square centimetersO 21012 cm12cm13cm5cm5cm5cm5 cm Moving electrons are found to exhibit properties of. Is 1 1/7 a rational number? What is the length of the major axis of the conic section shown below? (x-3)^2/25+(y+2)^2/49=1 Suppose that a, b, x and y are real numbers such that ax+by = 1, ax + by = 11, ax + by = 25 and ax + by = 83. Find the value of ax + by. Which of the following are examples of sustainability? (Select all that apply.)1. The electronic components of a companys energy-saving computers wind up in foreign landfills.2. A companys recycled paper uses more energy in its production than new paper.3. A company uses only raw materials that are within a 200-mile radius of its factory.4. A company uses recycled materials in its product packaging and uses less of it. When i try to watch an advertisement to see an answer, it says to click done, but there is no "done" button there is 1 litre of tea in a teapot, alex pours 275ml of the tea into a cup what percentage of the tea has alex poured PYTHAGOREAN THEOREM IN 3D URGENT PLEASE PHOTO INSERTED The original price of a sweatshirt is $50. The sale price is 75% off the original price. Find the sale price of the sweatshirt. You want to use CRISPR/Cas9 to model a deletion mutation commonly found in cancer cells. Suppose you design two sgRNAs to this region of the genome. If Cas9 cuts DNA at 2 loci, what is the approximate size of the DNA fragment expected to be deleted f(x) = x. What is g(x)? For tax purposes, a car rental company assumes each car in their fleet depreciates by 6% per year. If the initial value of a car is $38,800.00, what will the value be when the car is 10 years old?Options:a.) $20,898.27b.) $31,702.42c.) $28,612.06d.) $62,694.80 Antra calculated the product 2222 2223 22 24 and got a number. What will be the remainder when the product is divided by 10?