Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x + y = -5

Answers

Answer 1

Answer:

slope intercept form is y=mx + b  so y= -2x - 5

Step-by-step explanation:

subtract 2x from both sides.    

Answer 2

Answer:y=-2x-5

Step-by-step explanation:

slope intercept form is y=mx+b


Related Questions

I begggggg Pls help asappppppp !!!!!!!

I begggggg Pls help asappppppp !!!!!!!

Answers

Answer:

Translation, then reflection. E

Step-by-step explanation:

E is correct because 1 and 2 have a reflection meanwhile number 3 has a translation.

The answer is d because you have to translate the figure first before reflecting it


And,( -7,3) is the image of an after a reflection in the X-axis. what are the coordinates of N

And,( -7,3) is the image of an after a reflection in the X-axis. what are the coordinates of N

Answers

What is the image of (3,7) after a reflection over the line y= -x? ... (-2,2) is just (3-5,7-5) Just subtract 5 from each coordinate.

NEED HELP ASAP!!! PLSSSSSSSSSSSSSSSSSSSS

NEED HELP ASAP!!! PLSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

p(x) = 6x - 15

Step-by-step explanation:

So, first you subtract the cost of the necklace from the revenue, equating to 6x. Then, you take your constant, 15, and plug it into the equation for profit, giving you the finished equation of p(x) = 6x - 15. Hope this helps! (:

Answer: p(x) = 6x - 15          Answer is B

Step-by-step explanation:

They are wanting to know p(x)

Given:

r(x) = 10x

c(x) = 4x +15

p(x) = r(x) - c(x)                 >substitute r(x) and c(x)

p(x) = 10x - (4x + 15)         >Distribute -

p(x) = 10x - 4x - 15            >combine like terms

p(x) = 6x - 15          Answer is B

PLEASE HELP ME IM BEING TIMED

PLEASE HELP ME IM BEING TIMED

Answers

The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

What is the domain of a function?

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

v is the speedt is the time of motion

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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3. The ends of a thermometer on an aquarium are 3
4
inch above the water and 31
2 inches below
the water. What is the length of the thermometer

Answers

The length οf the thermοmeter is 16 1/4 inches.

What is thermοmeter ?

Any instrument that measures temperature οr a thermal diffusivity is called a thermοmeter (the degree οf hοtness οr cοldness οf an οbject). Twο crucial cοmpοnents make up a thermοmeter:

(1) a temperature sensοr that changes in respοnse tο changes in temperature (fοr example, the mercury-in-glass thermοmeter's bulb οr an infrared thermοmeter's pyrοmetric sensοr);

(2) a way tο translate this change intο a specific number (e.g. the visible scale that is marked οn a mercury-in-glass thermοmeter οr the digital readοut οn an infrared mοdel). In technοlοgy, business, meteοrοlοgy, medicine, and scientific research, thermοmeters are frequently used tο track prοcesses.

Tο find the length οf the thermοmeter, we need tο add the distance abοve the water tο the distance belοw the water.

Distance abοve water: 3/4 inch

Distance belοw water: 31/2 inches

The tοtal length οf the thermοmeter:

3/4 + 31/2 = 6/8 + 124/8 = 130/8 = 16 1/4 inches

Therefοre, the length οf the thermοmeter is 16 1/4 inches.

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ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141

Answers

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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An enclosure at a zoo contains giraffes and ostriches. All together the zookeeper counts 70 heads and 200 legs. How many of each animal are there?

Answers

By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

What are equations?

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

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Solving with the Distributive Property
23) George is building a fence around a rectangular dog run. He is using his house as one side of the run. The
area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 – x) feet. The
diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.

How many feet of fencing will George need for the dog run?

A. 22 feet
B. 68 feet
C. 76 feet
D. 82 feet

Answers

Answer:

82 feet of fencing.

Step-by-step explanation:

30(30-x)=240

900–30x=240

660 = 30x

660/30 = x

x = 22

22+60 = 82 ft

what is the percent of 9 out of 15?

Answers

Answer:

60% plz brainiest me

Step-by-step explanation:

9 divided by 15 is 0.6. 0.6 converted to a percent is 60%

Answer:

60 %

Step-by-step explanation:

9 divided by 15 is 0.6. 0.6 converted to a percent is 60%

a student has 4.9 x 1022 molecules of a (probably fictional) carbohydrate with the following formula: c9h11o6. how many grams of c are in this sample? enter your answer to the nearest tenth, without units, and ignoring sig figs.

Answers

There are approximately 0.976 grams of carbon (C) in the given sample of the carbohydrate (C9H11O6).

To find the number of grams of carbon (C) in the sample, we need to first determine the molar mass of the carbohydrate.

The molar mass of C is approximately 12.01 g/mol. The molar mass of H is approximately 1.01 g/mol, and the molar mass of O is approximately 16.00 g/mol.

The molar mass of the carbohydrate (C9H11O6) can be calculated as follows:

(9 * 12.01 g/mol) + (11 * 1.01 g/mol) + (6 * 16.00 g/mol) = 162.18 g/mol

Next, we can use the Avogadro's number (6.022 x 10^23) to determine the number of moles in the sample:

4.9 x 10^22 molecules / 6.022 x 10^23 molecules/mol = 0.0813 mol

Finally, we can calculate the mass of carbon in the sample by multiplying the number of moles by the molar mass of carbon:

0.0813 mol * 12.01 g/mol ≈ 0.976 g

So, there are approximately 0.976 grams of carbon in this sample.
There are approximately 0.976 grams of carbon (C) in the given sample of the carbohydrate (C9H11O6).

To find the mass of carbon in the sample, we first need to determine the molar mass of the carbohydrate. The molar mass of an element or compound is the mass of one mole of that substance. In this case, we have the formula C9H11O6, which indicates that the carbohydrate consists of 9 carbon atoms (C), 11 hydrogen atoms (H), and 6 oxygen atoms (O).

The molar mass of carbon is approximately 12.01 g/mol, hydrogen is approximately 1.01 g/mol, and oxygen is approximately 16.00 g/mol. To calculate the molar mass of the carbohydrate, we multiply the number of atoms of each element by their respective molar masses and sum them up.

Therefore, the molar mass of C9H11O6 is

(9 * 12.01 g/mol) + (11 * 1.01 g/mol) + (6 * 16.00 g/mol) = 162.18 g/mol.

Next, we can use the Avogadro's number (6.022 x 10²³) to determine the number of moles in the given sample. The given sample contains 4.9 x 10²²molecules of the carbohydrate. Dividing this by Avogadro's number gives us the number of moles:

4.9 x 10 molecules / 6.022 x 10^23 molecules/mol = 0.0813 mol.

Finally, we can calculate the mass of carbon in the sample by multiplying the number of moles by the molar mass of carbon: 0.0813 mol * 12.01 g/mol ≈ 0.976 g. Therefore, there are approximately 0.976 grams of carbon in the given sample.

In conclusion, the sample of the carbohydrate (C9H11O6) contains approximately 0.976 grams of carbon (C).

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adriannas bedroom has a perimiter of 90 feet the width is 15 feet what is the length of her bedroom?

Answers

The length of Adrianna's bedroom that has a perimeter of 90 feet and a width of 15 feet is 30 feet.

To find the length of Adrianna's bedroom, we can use the formula for the perimeter of a rectangle:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

We are given that the perimeter is 90 feet and the width is 15 feet, so we can substitute those values into the formula:

90 = 2l + 2(15)

Simplifying:

90 = 2l + 30

Subtracting 30 from both sides:

60 = 2l

Dividing both sides by 2:

30 = l

Therefore, the length of Adrianna's bedroom is 30 feet.

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We would like to estimate the proportion of uf students who owns a scooter to within 1% of the truth, with 95% confidence. We believe around 20% of students do. How many students should be sampled?.

Answers

We can estimate that (A) 3458 students should be sampled using proportions.

What are proportions?A proportion is an equation that sets two ratios at the same value. For instance, if there is 1 boy and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every boy), meaning that there are 1 in 4 boys and 3 in 4 girls.

So,  we have the following confidence interval of proportions for a sample of n people who were surveyed with a probability of success of π and a level of confidence of.

π ± z√[π(1-π)/n]

Where the z-score with a p-value of x is designated as 1+a/2.

The margin of error:

M = z√[π(1-π)/n]

So, with respect to M = 0.01, the sample size is n.

Now solve:

M = z√[π(1-π)/n]0.01 = 1.96√[0.01(0.09)/n]0.01√n = 1.96√0.01(0.09)√n =  [1.96√0.1(0.9)]/0.01(√n)² = ([1.96√0.1(0.9)]/0.01)²n = 3457.4

Rounding off: 3458

Therefore, we can estimate that (A) 3458 students should be sampled using proportions.

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The complete question is given below:
We would like to estimate the proportion of UF students who own a scooter to within 1% of the truth, with 95% confidence. We believe around 10% of students do. How many students should be sampled? Group of answer choices

A. 3458

B. 34575

C. 38416

D. 3842

Graphic organizers
a.
Must be artistic
c.
Are timelines only
b.
Show relationships among information
d.
Show cause and effect only


Please select the best answer from the choices provided
HELP ME IM ON A QUIZ AND TIME IS ALMOST UP PLS

Answers

Answer:

Show relationships among information

Answer:

B

Step-by-step explanation:

an open rectangular box is to be made by cutting four equal squares from each corner of a 12 cm by 12 cm piece of metal and then folding up the sides (sample diagram shown below). the finished box must be at least 1.5 cm deep, but not deeper than 3 cm. what are the dimensions of the finished box if the volume is to be maximized?

Answers

To solve this problem, we need to first determine the dimensions of the box after the squares have been cut and the sides folded up. Let's call the length of the square side x. From the diagram, we can see that the length of the box will be 12 - 2x, and the width will also be 12 - 2x. The height of the box will be x.

To find the volume of the box, we multiply these dimensions together:
V = (12 - 2x)(12 - 2x)(x)

Expanding this expression, we get:
V = 4x^3 - 48x^2 + 144x

Now we need to find the maximum volume. We can do this by finding the value of x that makes the derivative of V (dV/dx) equal to zero:

dV/dx = 12x^2 - 96x + 144
Setting this equal to zero and solving for x, we get:

x = 2 cm or x = 6 cm

We can discard the solution x = 2 cm, because if we plug it back into the original equation for V, we get a volume of zero (since the height of the box would be zero).

So the optimal value of x is x = 6 cm. Plugging this back into the expression for the volume, we get:

V = 4(6)^3 - 48(6)^2 + 144(6) = 864 cm^3

Therefore, the dimensions of the finished box are:

Length = 12 - 2x = 12 - 2(6) = 0 cm (invalid)

Width = 12 - 2x = 12 - 2(6) = 0 cm (invalid)

Height = x = 6 cm

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75% of all Americans live in cities with population greater than 100,000 peop If 37 Americans are randomly selected, find the probability that a. Exactly 28 of them live in cities with population greater than 100,000 people. b. At most 28 of them live in cities with population greater than 100,000 people. c. At least 27 of them live in cities with population greater than 100,000 people. d. Between 22 and 28 (including 22 and 28) of them live in cities with population greater than 100,000 people.

Answers

a. The probability that exactly 28 of them live in cities with a population greater than 100,000 people is approximately 0.058.

b. The probability that at most 28 of them live in cities with a population greater than 100,000 people is approximately 0.091.

c. The probability that at least 27 of them live in cities with a population greater than 100,000 people is approximately 0.896.

d. The probability that between 22 and 28 (including 22 and 28) of them live in cities with a population greater than 100,000 people is approximately 0.164.

To solve this problem, we can use the binomial probability formula. Let's define "success" as an American living in a city with a population greater than 100,000 people, and "failure" as an American living in a city with a population less than or equal to 100,000 people. The probability of success is given as 0.75 (75%).

a. To find the probability that exactly 28 of them live in cities with a population greater than 100,000 people, we use the formula: P(X = 28) = (37 choose 28) * (0.75^28) * (0.25^9). Evaluating this expression, we find that the probability is approximately 0.058.

b. To find the probability that at most 28 of them live in cities with a population greater than 100,000 people, we sum up the probabilities for all values from 0 to 28. P(X ≤ 28) = Σ[P(X = k)] for k = 0 to 28. Evaluating this expression, we find that the probability is approximately 0.091.

c. To find the probability that at least 27 of them live in cities with a population greater than 100,000 people, we sum up the probabilities for all values from 27 to 37. P(X ≥ 27) = Σ[P(X = k)] for k = 27 to 37. Evaluating this expression, we find that the probability is approximately 0.896.

d. To find the probability that between 22 and 28 (including 22 and 28) of them live in cities with a population greater than 100,000 people, we sum up the probabilities for all values from 22 to 28. P(22 ≤ X ≤ 28) = Σ[P(X = k)] for k = 22 to 28. Evaluating this expression, we find that the probability is approximately 0.164.

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What are some tools that O’Brien uses as a writer to make the reader feel the immediacy and reality of war? How does he work with tension?

Answers

Some tools that Tim O'Brien uses as a writer to make the reader feel the immediacy and reality of war include vivid sensory details, first-person narration, fragmented structure,

blurring the lines between fiction and reality. He creates tension through suspenseful storytelling and exploring moral dilemmas.Tim O'Brien employs various literary techniques to immerse the reader in the immediate and realistic experiences of war. He often incorporates vivid sensory details, such as describing the sights, sounds, smells, and physical sensations of the battlefield. By engaging the reader's senses, O'Brien aims to evoke a visceral response, making the war feel vivid and tangible.Furthermore, O'Brien frequently utilizes first-person narration, allowing the reader to experience events through the eyes of the characters. This personal perspective enhances the immediacy and authenticity of the war narrative, enabling readers to emotionally connect with the characters' struggles and emotions.Another tool O'Brien employs is a fragmented narrative structure. He jumps between different moments in time, blurring the linearity of events. This technique reflects the fragmented and disorienting nature of war itself, immersing the reader in the chaos and confusion experienced by soldiers

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Iḿ stuck on this question

I stuck on this question

Answers

Answer:

4

Step-by-step explanation:

99/9 is 11 so to get what the missing number is divide 44 by 11 to get 4

A DrillingRick was diggingA well in the valley it dug to a point of -50 Meters in one day After 18 hours at how many meters would the rig be if it moved at the same amount each hour? Show your work.Explain your answer

Answers

Answer:

37.5 meters

Step-by-step explanation:

depth of well : hours of digging

it dug to a point of -50 Meters in one day

= 50 meters : 24 hours

After 18 hours at how many meters would the rig

Let

x = depth that will be rigged

depth of well : hours of digging

= x meters : 18 hours

Equate the ratios

50 meters : 24 hours = x meters : 18 hours

50/24 = x/18

50 * 18 = 24 * x

900 = 24x

x = 900/24

x = 37.5

x = depth that will be rigged = 37.5 meters

select whether the following numbers are rational or irrational. please help me

select whether the following numbers are rational or irrational. please help me

Answers

1)13/4: Rational (a fraction)

2)√17: Irrational (square root of a non-perfect square)

3)3π: Irrational (product of a rational number and an irrational number)

4)0.1 (1 bar): Rational (repeating decimal)

5)-√2: Irrational (negative square root of a non-perfect square)

6)√24: Irrational (square root of a non-perfect square)

7) -√49: Rational (negative square root of a perfect square)

1)13/4: Rational - This number is a fraction, and any number that can be expressed as a fraction is considered rational. In this case, 13/4 can be simplified to 3.25, which is a rational number.

2)√17: Irrational - The square root of 17 cannot be expressed as a simple fraction or terminating decimal. It is an irrational number, meaning it cannot be expressed as a ratio of two integers.

3)3π: Irrational - π (pi) is an irrational number, and when multiplied by a rational number like 3, the result is still an irrational number. Therefore, 3π is an irrational number.

4)0.1 (1 bar): Rational - This number is a repeating decimal, indicated by the bar over the 1. Although it does not have a finite representation, it can be expressed as the fraction 1/9, which makes it rational.

5)-√2: Irrational - Similar to √17, the square root of 2 is also an irrational number. Multiplying it by -1 does not change its nature, so -√2 remains an irrational number.

6)√24: Irrational - The square root of 24 is an irrational number because it cannot be expressed as a simple fraction or terminating decimal. It can be simplified to √(4 × 6), which further simplifies to 2√6, where √6 is an irrational number.

7)-√49: Rational - The square root of 49 is 7, which is a rational number. Multiplying it by -1 does not change its nature, so -√49 remains a rational number.

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The complete question is :

Select whether the following numbers are rational or irrational.

1. 13/4

2. \sqrt{17}

3. 3 π

4. 0.1 (1 bar)

5. - \sqrt{2}

6. \sqrt{24}

7. - \sqrt{49

There are 19 guests at Melanie’s party. If each guest will be served exactly 5/8 pint of ice cream, how many pints of ice cream will she need

Answers

Answer:

\(\frac{95}{8}\) or \(11\frac{7}{8}\) or 11.875 pints of ice cream.

Step-by-step explanation:

1 guest will be served 5/8

19 guests will be served (5/8) * 19 = 95/8 pints of ice cream.

In a certain population, body weights are normally distributed with a mean of 152 poundsand a standard deviation of 26 pounds. How many people must be surveyed if we want toestimate the percentage who weigh more than 180 pounds

Answers

88 people must be surveyed according to the confidence interval.

According to the statement

we have given that the mean of 152 pounds and a standard deviation of 26 pounds. And we have to find the percentage who weigh more than 180 pounds

So, For this purpose, we know that the

The given variables are which are given in the statement are:

μ = the sample mean = 152 pounds

σ = the standard deviation = 26 pounds

x = the sample value we want to test = 180 pounds

n = the sample size = unknown

MOE = margin of error = 4% = 0.04

Confidence level = 96%

Then

Firstly we find the value of the Z is :

z = (x – μ) / σ

z = (180 – 152) / 26

z = 1.0769 = 1.08

Since we are looking for the people who weigh more than 180 pounds, therefore this is a right tailed z test.

Now, The p value is:

p = 0.1401

Then we can use the formula below to solve for n:

n = z^2 * p * (1 – p) / (MOE)^2

n = 1.08^2 * 0.1401 * (1 – 0.1401) / (0.04)^2

n = 87.82 = 88

Therefore around 88 people must be surveyed.

So, 88 people must be surveyed according to the confidence interval.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

In a certain population, body weights are normally distributed with a mean of 152 pounds 30) and a standard deviation of 26 pounds. how many people must be surveyed if we want to estimate the percentage who weigh more than 180 pounds? assume that we want 96% confidence that the error is no more than 4 percentage points.

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how is 15×3/5 = 9


the slash is for the fraction

Answers

Answer:15x3 /=divide 5 = 9

Step-by-step explanation:

because if you do 15x3 it is 45 then you divide it by 5 and get 9 as your answer!

HELP ME PLEASE!!! URGENT!!

HELP ME PLEASE!!! URGENT!!

Answers

Answer:

False

Step-by-step explanation:

See how the bottom of the line F(x) just drops off? That means there isn't an even decline, meaning even the inverse would have an uneven slope.

This line cannot be a function, no matter which way you turn it.

Answer:

false

Step-by-step explanation:

f is  on the Opisite side.

3. Use the figure below to answer the following:
a. Use special right triangles to find the height of the triangle and its hypotenuse. Leave answer in radical form if needed.
b. Find the area of the triangle. Write final answer in radical and decimal form to 2 places.

3. Use the figure below to answer the following:a. Use special right triangles to find the height of

Answers

The length of the hypotenuse is equal to 10 cm and the area of the triangle is equal to (15√3)/2 cm² using the trigonometric ratio of for the angle 60°

What is trigonometric ratios?

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

recall that cos 60° = 1/2

hypotenuse = BD

cos 60° = 5 cm/BD {adjacent/hypotenuse}

1/2 = 5 cm/BD

BD = 5 cm × 2 {cross multiplication}

BD = 10 cm

The height of the triangle is BC and it is calculated as:

sin 60° = BC/BD {opposite/hypotenuse}

√3/2 = BC/10 cm {sin 60° = √3/2}

BC = 10 cm × √3/2

BC = 5√3 cm {cross multiplication}

area of the triangle = 1/2 × 5 cm × 5√3 cm

area of the triangle = 1/2 × 25√3 cm²

area of the triangle = (15√3)/2 cm²

Therefore, the length of the hypotenuse is equal to 10 cm and the area of the triangle is equal to (15√3)/2 cm² using the trigonometric ratio of for the angle 60°

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Julianna put new carpet in her apartment. After laying the carpet, she had a rectangular piece left that measured 60 square feet. If the width of the carpet piece measured 2 feet and the length was (x^2-19) feet, what is the value of x and the length of the piece of carpet!


please show steps and solve using square root property

Answers

To find the value of x and the length of the piece of carpet, we can set up an equation based on the given information.

The area of the rectangular piece of carpet is 60 square feet, and the width is 2 feet. The length is represented by (x^2 - 19) feet.

The formula for the area of a rectangle is length times width. Therefore, we have:

Length * Width = Area

(x^2 - 19) * 2 = 60

Now, we can solve this equation using the square root property.

Divide both sides of the equation by 2:

(x^2 - 19) = 60 / 2

x^2 - 19 = 30

Add 19 to both sides of the equation:

x^2 = 30 + 19

x^2 = 49

Take the square root of both sides:

√(x^2) = √49

x = ±7

Therefore, the value of x is ±7.

To find the length of the piece of carpet, we substitute the value of x back into the equation:

Length = x^2 - 19

Length = (±7)^2 - 19

Length = 49 - 19

Length = 30

The length of the piece of carpet is 30 feet.

So, the value of x is ±7, and the length of the piece of carpet is 30 feet.

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What is the area of the polygon below in square units?

What is the area of the polygon below in square units?

Answers

The answer is y=mc+bWhich impact did WWII have on the U.S?
A. The U.S. had to rebuild much of its own infrastructure due to the damages of the War
B. The U.S. had one of the highest death tolls of the War
C. The U.S. decided to not get involved in any
future wars
D. The U.S. experienced large economic growth as a result of their wartime economy

6. A sandwich store charges a $10 delivery fee, and $4.50 for each sandwich.
a. What is the total cost (sandwiches and delivery charge) if an office orders 6
sandwich?

Answers

Answer:

Step-by-step explanation:

4.50 per sandwich

6 sandwiches

4.50 x 6 = 27

+ Delivery fee $10

$27 + $10 =

$37 total

3(-4+x)<-33 I need to solve for x​

Answers

Answer:

−7

Step-by-step explanation:

Answer:

Let's solve your inequality step-by-step.

3(−4+x)<−33

Step 1: Simplify both sides of the inequality.

3x−12<−33

Step 2: Add 12 to both sides.

3x−12+12<−33+12

3x<−21

Step 3: Divide both sides by 3.

3x/3  < −21  /3

x<−7

Answer:

x<−7

Step-by-step explanation:

Sammy watched
1
4
of a movie in the morning, and she watched some more at night. By the end of the day, she still had
2
3
of the movie left to watch. How much of the movie did Sammy watch at night?

Answers

Answer:

5/12

Step-by-step explanation:

4 and 3 gcf is 12
8/12 - 3/12 = 5/12

chris has been given a list of bands and asked to place a vote. his vote must have the names of his favorite and second favorite bands from the list. how many different votes are possible?

Answers

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

Know more about factorialhere:

https://brainly.com/question/18270920

#SPJ11

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