How did slavery benefit the industrial revolution?

Answer:

The one that reached up to 8 on the graph.

Step-by-step explanation:

The dimensions of the piece of carpet that Charlotte must purchase depend on the size of the room or area she wants to carpet and the layout of the room.

In order to determine the dimensions of the piece of carpet that Charlotte must purchase, you would need to know the dimensions of the room or area she wants to carpet. Then, you could calculate the total area to be carpeted by multiplying the length and width of the room.

From there, you would need to factor in any extra carpet needed for seams, patterns, or waste, as well as the width of the carpet roll, which is typically either 12 or 15 feet wide. Once you have all of this information, you could calculate the dimensions of the piece of carpet that Charlotte must purchase.

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Answer:

y     = 3x + 8

Step-by-step explanation:

to find slope intercept if we have 2 points use this formula:

find the slope first: m= (y2-y1)/ (x2-x1)

after get the slope, use this formula:

y-y1 = m(x-x1)

Answer:

m= (y2-y1)/ (x2-x1)

  = (2-8)/ (-2-0)= -6/-2 = 3

y-y1 = m(x-x1)

y-8 = 3 (x-0)

y     = 3x + 8

hope it helps

Answer:

  10√2 -15√5

Step-by-step explanation:

Radicals are simplified by factoring out squares. Like radicals can be combined.

  \(\sqrt{2}-(5\sqrt{20}-3\sqrt{18}+\sqrt{125})\\\\=\sqrt{2}-(5\sqrt{4\cdot5}-3\sqrt{9\cdot2}+\sqrt{25\cdot5})\\\\=\sqrt{2}-10\sqrt{5}+9\sqrt{2}-5\sqrt{5}\\\\=\boxed{10\sqrt{2}-15\sqrt{5}}\)

Answer:

4/36 (11.111%)

Step-by-step explanation:

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

The approximation probability that two people in a group of seven have the same birthday is 0.0000007 or 7 in 10 million.

The approximation probability that two people in a group of seven have the same birthday can be determined using a formula.

To calculate the probability that two people in a group of seven have the same birthday, we can use an approximation formula.

The formula is given as:P(n) = 1 - (365!/(365^n *(365-n)!)) * (1/n!)

Where P(n) is the probability that at least two people share the same birthday, n is the number of people in the group, and the exclamation mark (!) is the factorial function.

For a group of seven people, we substitute n=7 in the formula, and we get:

P(7) = 1 - (365!/(365^7 *(365-7)!)) * (1/7!)This simplifies to:P(7) ≈ 1 - 0.9999993 = 0.0000007

Therefore, the approximation probability that two people in a group of seven have the same birthday is 0.0000007 or 7 in 10 million.

The probability is incredibly small, and it implies that it is unlikely for two people in a group of seven to have the same birthday.

This is because there are only 365 possible birthdays in a year, and the sample size of seven is too small to increase the likelihood of a match.

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The  correct lengths of side C is scale 1 is 45m and scale 2 is 60m.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Scale of the drawing = original dimensions / dimensions of the scale drawing

Scale 1 = 15 x 3 = 45m

Scale 2 = 15 x 4 = 60m

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Answer:

Answer would be

D: 7

Angle of elevation would be 66 degrees

Paula's dog weighs 45 pounds.



- Let's assign a variable to Carla's dog's weight. Let's say it's "x".
- According to the problem, Paula's dog weighs 3 times as much as Carla's dog. So we can say that Paula's dog weighs 3x.
- The total weight of the dogs is 60 pounds. So we can set up an equation: x + 3x = 60.
- Simplifying the equation, we get 4x = 60. Dividing both sides by 4, we get x = 15. So Carla's dog weighs 15 pounds.
- We can use this information to find the weight of Paula's dog. We know that Paula's dog weighs 3 times as much as Carla's dog, which is 3 x 15 = 45 pounds.


To solve this problem, we need to use algebra. Algebra is a type of math that uses letters (called variables) to represent unknown values. In this case, we need to use a variable to represent Carla's dog's weight.

Let's say that Carla's dog's weight is "x". According to the problem, Paula's dog weighs 3 times as much as Carla's dog. So we can say that Paula's dog weighs 3x.

We also know that the total weight of the dogs is 60 pounds. So we can set up an equation:

x + 3x = 60

Simplifying the equation, we get:

4x = 60

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides by 4:

x = 15

So Carla's dog weighs 15 pounds.

Now we can use this information to find the weight of Paula's dog. We know that Paula's dog weighs 3 times as much as Carla's dog, which is 3 x 15 = 45 pounds.

Therefore, Paula's dog weighs 45 pounds.

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Answer:

y=-5/4x+5

Step-by-step explanation:

( 0 , 5 )

The 5 is the y point meaning.

y = -5/4 x + 5

*slope

y = -5/4 x + 5

*where it crosses the y-axis

Answer:

119,940 books are not about math.

What I did:

60x2000=120,000

120,000-60=119,940

Answer:

119940

Step-by-step explanation:

.05 % are about math

b= books

b * .05% = 60

Change to decimal form

b * .0005 = 60

Divide each side by .0005

b = 60/.0005

b =120000 books in the store

we want the ones not about math

120000-60

119940

Answer:

line represented by the equation y=−12x−5 and passes through (6,−4) ... y−6=2(x+4) ... First find the slope m for the new line, rule for a perpendicular slope is: your equation is in slope intercept form y=mx+b : ... m=−12 so your new slope m'=−1−12=2 ... graph{y=-1/2x - 5 [-18.92, 21.08, -14.56, 5.44]}.

Plz mark brainliest

Answer:

3.5=x/250

Step-by-step explanation:

The number of female students are 150.

Given that, professor Smith has a total of 250 students, 3/5 of whom are female.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Here, x represents the number of female students.

Now, x= 3/5 × 250

⇒ x = 3 × 50

⇒ x = 150

Therefore, the number of female students are 150.

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Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

Julio ends up paying $4000 for the clothes.

If Julio bought clothes for a cost of $5000 and left 20% aside, we can calculate the amount of money he ends up paying for the clothes by subtracting the 20% from the total cost.

To calculate the 20% of $5000, we multiply $5000 by 0.20 (which is the decimal representation of 20%).

20% of $5000 = $5000 * 0.20 = $1000

So, Julio left $1000 aside.

To find out how much money he ends up paying for the clothes, we subtract the amount left aside from the total cost:

Money paid for clothes = Total cost - Amount left aside

Money paid for clothes = $5000 - $1000 = $4000

Therefore, Julio ends up paying $4000 for the clothes.

It's important to note that when we calculate a percentage, we convert the percentage into a decimal by dividing it by 100. In this case, we converted 20% into 0.20. By multiplying the total cost by 0.20, we obtained the amount left aside. Subtracting this amount from the total cost gives us the amount paid for the clothes.

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Note the translated question is:

Julio bought clothes for a cost of $5000, for which he left 20% aside. How much money does he end up paying for the clothes?

Answer:

thanks you too for having us

Answer:

4/9

Step-by-step explanation:

The gradient of the perpendicular line is -1/m

The perpendicular to a given slope is its negative reciprocal. This means the fraction is flipped and multiplied by −1.

Answer:

$13.85

Step-by-step explanation:

If the textbook decreases by 11% per year, this means it will be 89% of the previous year's value since 100% - 11% = 89%

89% in decimal form = 89/100 = 0.89

Therefore, the exponential function is:

\(y = 63 \cdot 0.89^x\), where \(x\) is the number of years

So when \(x=13\),  

\(y = 63 \cdot 0.89^{13}=13.84875..=13.85\)

By applying the binomial distribution formula, it can be concluded that the probability that more than 6 will say yes is 0.423 (option B).

Combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.

C(n,r) = n! / (r! (n-r)!) where

n = number of samples

r = number of selected samples

The binomial distribution formula is used to find the probability of the specific outcome in a discrete distribution.

P(X) = C(n,r) * \(p^{r}\) * \(q^{n-r}\) where:

C = combination value

p = probability of success on a single trial

q = probability of failure on a single trial

n = 22

p = 28% = 0.28

q = 1 - 0.28 = 0.72

The probability that r adults will say yes is given by the binomial distribution:

P(X=r) = C(n,r) * \(p^{r}\) * \(q^{n-r}\)

= C(22,r) * \(0.28^{r}\) * \(0.72^{22-r}\)

P(X≤6) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)

Now we calculate for each probability:

P(X=0) = C(22,0) * 0.28⁰ * 0.98²² = 0.000726633

P(X=1) = C(22,1) * 0.28¹ * 0.98²¹ = 0.00621676

P(X=2) = C(22,2) * 0.28² * 0.98²⁰ = 0.025385

P(X=3) = C(22,3) * 0.28³ * 0.98¹⁹ = 0.0658131

P(X=4) = C(22,4) * 0.28⁴ * 0.98¹⁸ = 0.121571

P(X=5) = C(22,5) * 0.28⁵ * 0.98¹⁷ = 0.1702

P(X=6) = C(22,6) * 0.28⁶ * 0.98¹⁶ = 0.187535

If we sum up the results, we get P(X≤6) = 0.577447493

P(X>6) = 1 - P(X≤6)

           = 1 - 0.577447493

           = 0.422552507

           ≈ 0.423

Thus the probability that more than 6 will say yes is 0.423.

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Answer:

\(x = -3\)

Step-by-step explanation:

\(\frac{-3(2x + 1)}4 = 3(x + 4) + \frac34 \text{ // Distribute}\\\\\frac{-6x - 3}4 = 3x + 12 + \frac34 \text{ // Multiply by 4}\\\\-6x - 3 = 12x + 48 + 3\\-6x - 3 = 12x + 51 \text{ // Add 6x and subtract 51}\\-54 = 18x \text{ // Divide by 18}\\-3 = x\)

Answer: x=-3

\(\frac{-3(3x+1)}{4} = 3(x+4) +3/4\\\frac{-3x-3}{4} = 3x+12+3/4\\\frac{-3x-3}{4}=3x+15/4\\4*\frac{-3x-3}{4}= 3x+15/4\\ *4\\-3x-3= 3x+15\\+3 +3\\-3x=3x+18\\-3x -3x\\-6x=18\\/-6 -/6 \\x= -3 \\\\\)

I think i did this right for you, hopefully this helped

Answer:

Step-by-step explanation:

You want the next three terms of sequences in which the first few terms are given.

It is often useful to look at the differences of terms in a given sequence. If these "first differences" are constant, they can be used to predict the next terms.

If the "first differences" are not constant, finding the difference of those can give additional clues as to the nature of the sequence. If these "second differences" are constant, the sequence is quadratic, and these second differences can be used to predict additional terms.

If the differences have a common ratio, then the sequence is exponential.

If the differences are not constant, and the sequence is not exponential, then there is no simple way to predict additional terms. They can be anything you like, and a function can be written that would predict your chosen values.

The common difference is 9-2 = 7. Additional terms will each be 7 more than the previous term. The next three terms are 37, 44, 51.

The common difference is 44-49 = -5. Each term is 5 less than the previous one. The next three terms are 24, 19, 14.

We recognize these as the sequence of square numbers: 1², 2², 3², 4², 5². The next three terms are 6², 7², 8², or 36, 49, 64.

The common difference is -3-(-5) = 2. Each term is 2 more than the previous one. The next three terms are 3, 5, 7.

The first differences are 2, 2, 2, 4. These are not constant, nor are the second differences constant. Nor is there a common ratio. The next term cannot be predicted, so can be anything you want it to be.

__

Additional comment

The process of writing a function that gives the values of a particular sequence is called "interpolation." An interpolation function can be written for any arbitrary sequence. For an arithmetic sequence, the function is linear. For a quadratic sequence, quadratic. For an exponential sequence, the usual interpolating methods may or may not give an exponential function, depending on which one(s) you use.

The point is that any sequence can be described by some function. The next three terms are not "set in stone." (Usually, we want the simplest function that will describe the sequence.)

Sequence 5 would be an arithmetic sequence with a common difference of 2 if the last term shown were 6 instead of 8. No exponential sequence will ever contain a value of 0. The sequence cannot be exponential, even though the last three terms make it appear to have a common ratio of 2.

Answer:

x = -23

Step-by-step explanation:

3.5(x+20) = 6 + .75(x + 1)  Multiply the terms inside the parentheses on the left by 3.5 and the parentheses on the left by .75

(3.5)x +(3.5)(20) = 6 + (.75)x +(.75)(1)

3.5x + 70 = 6 + .75x + .75  Combine the 6 and .75 on the right side

3.5x + 70 = 6.75 + .75x  Subtract .75x from both sides of the equation

2.75x + 70 = 6.75  Subtract 70 from both sides of the equation

2.75x  = -63.25  Divide both sides by 2.75

x = -23

Check

3.5(-23+20) = 6 + .75(-23 + 1)

3.5(-3) = 6 +.75(-22)

-10.5 = 6 +(-16.5)

-10.5 = -10.5

Answer:

x = -23

Step-by-step explanation:

3.5(x+20)=6+.75(x+1)

3.5x + 70 = 6 + .75x + .75

3.5x+70=.75x+6.75

2.75x+70=6.75

2.75=−63.25

divide^

x = -23

Cody made an error from step 2 to step 6.

The value of x in the equation is 7/3.

We have,

1/3 (6x - 3) - 1/4 (20x + 8) = -6

Distributive properties.

1/3 x (6x) - 1/3 x 3 - 1/4 x (20x) + 1/4 x 8 = -6

2x - 1 - 5x + 2 = -6

Combining like terms.

-3x = -6 - 1

-3x = -7

Dividing -3 on both sides.

x = 7/3

We see that,

Cody made an error from step 2 to step 6.

Thus,

The value of x in the equation is 7/3.

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Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

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Using expression 2² * 3, Tony can pack 12 DVDs in each box.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations that represents a value or a quantity. Expressions can be written using various mathematical symbols such as addition, subtraction, multiplication, division, exponents, and parentheses.

Now,

To find the greatest number of DVDs Tony can pack in each box, we need to find the greatest common divisor (GCD) of the three numbers: 12, 24, and 30.

Now,

12 = 2² * 3

24 = 2³ * 3

30 = 2 * 3 * 5

Then, we can find the GCD by multiplying the common factors raised to their lowest powers:

GCD = 2² * 3 = 12

Therefore, Tony can pack 12 DVDs in each box. He would need 1 box for the comedy DVDs, 2 boxes for the animated DVDs, and 2.5 boxes for the musical DVDs (which could be rounded up to 3 boxes).

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