A line is parallel to the x-axis and passes through (2, 3). Which answer choice shows the line's equation and correct slope? O 1 y=3; m= 0 02 x=2; m = undefined 3 x= 3; m = 0 4. y= 2; m = undefined

Answer:

The 8th term of the AP= 113/5 or 22.6

Answer:

22.6

Step-by-step explanation:

Given:

Find the value of a₆:

\(\implies a+a_6=20\)

\(\implies a_6=20-a\)

\(\implies a_6=20-3\)

\(\implies a_6=17\)

Therefore:

General form of an arithmetic sequence:

\(\boxed{a_n=a+(n-1)d}\)

Where:

Substitute a = 3 and a₆ = 17 into the formula and solve for d:

\(\begin{aligned}\implies a_6=3+(6-1)d&=17\\3+5d&=17\\5d&=14\\d&=2.8\end{aligned}\)

Therefore, the equation for the nth term is:

\(\implies a_n=3+(n-1)2.8\)

\(\implies a_n=3+2.8n-2.8\)

\(\implies a_n=2.8n+0.2\)

To find the 8th term, substitute n = 8 into the equation for the nth term:

\(\implies a_8=2.8(8)+0.2=22.6\)

Answer:

derivative on r^2 with respect to r

one time derivative is 2r

second time derivative is 2

third time derivative is 0

Answer:

y = x - 5

Step-by-step explanation:

\(y - ( - 5) = x - 0\)

\(y + 5 = x\)

\(y = x - 5\)

Yes, they do form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle.

Yes, the side lengths 4 8 and 10 can form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle. A triangle is defined as a polygon with three sides and three angles, and is one of the basic shapes in geometry. It is also one of the most studied shapes in mathematics due to its wide range of applications. The three angles of a triangle must add up to 180 degrees, and the three sides must satisfy the triangle inequality, meaning that the sum of any two sides must be greater than the third side. Additionally, the interior angles of a triangle are always equal to the sum of two exterior angles. Knowing this, it can be seen that the side lengths 4 8 and 10 can form a triangle, as the sum of any two sides is greater than the third side.

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Answer:

(2(y-2)+3) (2(y-2)-3)

Step-by-step explanation:

In mathematics, the difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2 = in elementary algebra.

Answer:

b 70

Step-by-step explanation:

An area of a triangle is base times height divided by 2

A=1/2bh

Answers:

1: No, 10/12 Simplified is 5/6, and 15/30 simplified is 1/2

2: Yes, 1/5 / 3/5 Simplified is 1/3, and 1/4 / 3/4 simplified is 1/3

3: 60 words, You do 300 divided by 5, and you get 60 per minute

4: 240 words, You take the 60 per minute, and you multiply is by 4.

5: 24 doughnuts, 20x3 is 60 minutes. So, 12 doughnuts in one hour. Multiply is by 2, and you get 24 doughnuts per hour.

6: Walmart, To find out how much it costs, you so 1.25 / 5, and 0.80 / 2. So, Walmart is 0.25 per pack, and Ingles is 0.40 per pack. So, you can automatically tell that Walmart is cheaper, meaning the better buy.

Answer/Step-by-step explanation:

7. (3x⁴ + 5x² - 1) + (2x³ + x)

Distribute +1 to each term in the parentheses by your right.

3x⁴ + 5x² - 1 + 2x³ + x

Rewrite in standard form

3x⁴ + 2x¾ + 5x² + x - 1

8. (4x² + 7x - 4) + (x² - 7x + 14)

Distribute +1 to each term in the parentheses by your right.

4x² + 7x - 4 + x² - 7x + 14

Collect like terms and add together

4x² + x² + 7x - 7x - 4 + 14

5x² + 10

9. (2x³ + 6x² - 5x) + (x⁵ + 3x² + 8x + 4)

2x³ + 6x² - 5x + x⁵ + 3x² + 8x + 4

Collect like terms and add together

2x³ + 6x² + 3x² - 5x + 8x + x⁵ + 4

2x³ + 9x² + 3x + x⁵ + 4

Rewrite in standard form

x⁵ + 2x³ + 9x² + 3x + 4

10. (-6x⁵ - 2x + 13) + (4x⁵ + 3x² + x - 9)

-6x⁵ - 2x + 13 + 4x⁵ + 3x² + x - 9

Collect like terms

-6x⁵ + 4x⁵ - 2x + x + 13 - 9 + 3x²

Add like terms

-2x⁵ - x + 4 + 3x²

Rewrite in standard form

-2x⁵ + 3x² - x + 4

11. (5x² + 7x + 2) - (3x² + 6x + 2)

Distribute -1 to each term in the parentheses by your right.

5x² + 7x + 2 - 3x² - 6x - 2

Collect like terms

5x² - 3x² + 7x - 6x + 2 - 2

2x² + x

12. (10x⁴ + 2x² + 1) - (3x⁴ + 3x + 11)

Distribute -1 to each term in the parentheses by your right.

10x⁴ + 2x² + 1 - 3x⁴ - 3x - 11

Collect like terms

10x⁴ - 3x⁴ + 2x² + 1 - 11 - 3x

7x⁴ + 2x² - 10 - 3x

Rewrite in standard form

7x⁴ + 2x² - 3x - 10

13. (7x³ - 3x + 7) - (4x² - 3x - 11)

Distribute -1 to each term in the parentheses by your right.

7x³ - 3x + 7 - 4x² + 3x + 11

Collect like terms

7x³ - 3x + 3x + 7 + 11 - 4x²

7x³ + 18 - 4x²

Rewrite in standard form

7x³ - 4x² + 18

14. (x⁴ - 1) - (x⁴ + 1)

Distribute -1 to each term in the parentheses by your right.

x⁴ - 1 - x⁴ - 1

Collect like terms

x⁴ - x⁴ - 1 - 1

-2

Answer: wider distribution.

Step-by-step explanation:

Answer:

opcation a

Step-by-step explanation:

The length of an alpha helix with 31 amino acids is approximately 50.6 angstroms.

An alpha helix is a common secondary structure in proteins where the polypeptide chain forms a tightly coiled helical structure. The length of an alpha helix can be calculated using the formula:

Length = (3.6 * number of amino acids)^(1/2)

In this case, the number of amino acids is 31. Plugging this value into the formula, we get:

Length = (3.6 * 31)^(1/2)

      = (111.6)^(1/2)

      ≈ 10.56

However, this value is in units of turns, where one turn is equal to 3.6 amino acids. To convert it to length, we need to multiply by the pitch of the helix. The pitch is the vertical distance between one complete turn of the helix.

The average pitch of an alpha helix is approximately 5.4 angstroms per turn. Multiplying the number of turns by the pitch, we get:

Length = 10.56 * 5.4

      ≈ 57.02

Therefore, the length of an alpha helix with 31 amino acids is approximately 57.02 angstroms.

The length of an alpha helix with 31 amino acids is approximately 57.02 angstroms. This calculation takes into account the formula for calculating the length of an alpha helix and the average pitch of the helix. It is important to note that this is an approximation as the actual length can vary depending on factors such as the specific amino acid sequence and the presence of any structural constraints within the protein.

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Answer:

The Answer is 1080x^21 + 2160x^20 + 3

Step-by-step explanation:

Answer: 3+36x+480= 483+36

Step-by-step explanation: That's math for you

Answer:

Chad paid more.

Step-by-step explanation:

find unit rate; (cost / quantity)

20 / 24 = 0.833333

money just be rounded to the nearest hundredth = 0.83/can

Answer:

Step-by-step explanation:

Sure it is

Answer:

You are right it is not a triangle

Answer:

C

Step-by-step explanation:

Answer:

I think ur father's brothers daughter

is she a former secretary of us house of representatives for republicans?

the total decrease in value of the machine in the second 5 years after it was bought is $35000. option B is correct.

To find the total decrease in value of the machine in the second 5 years after it was bought, we need to integrate the rate of change of value over that time period.

Given that the rate at which the value changes is 500(t - 12) dollars per year, we can integrate this expression over the interval t = 12 to t = 17 (second 5 years).

The integral of 500(t - 12) with respect to t is:

∫[0 to 10] 500(t - 12) dt

= 500 ∫[0 to 10] (t - 12) dt

= 500 [(t²/2 - 12t) | [0 to 10]

= 500 [(10²/2 - 12*10) - (0²/2 - 12*0)]

= 500 [(50 - 120) - 0]

= 500 [-70]

= - 350000

Therefore, the total decrease in value of the machine in the second 5 years after it was bought is $35000. option B is correct.

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Answer:

There are 1320 ways in which 15 runners can be awarded for a 200-meter sprint race three different medals.

Step-by-step explanation: Whenever we are supposed to find the ways in which certain things have to be arranged, we use the concept of Permutation.

The number of possible ways to award gold, silver, and bronze medals for a 200-meter sprint with 15 runners is 2,730.

1. Select the gold medal winner: There are 15 runners, so there are 15 choices for the gold medal.

2. Select the silver medal winner: Since the gold medalist is already chosen, there are 14 remaining runners to choose from for the silver medal.

3. Select the bronze medal winner: With gold and silver medalists chosen, there are now 13 remaining runners to choose from for the bronze medal.

Multiply the number of choices together: 15 (gold) x 14 (silver) x 13 (bronze) = 2,730 possible ways to award the medals.

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Answer:

Step-by-step explanation:

I don’t know the answer

The value of x such that ∠MNQ and ∠PNR are vertical angles is 40

The given parameters are:

MNQ = 3x - 6

PNR = 114

Vertical angles are equal.

So, we have:

3x - 6 = 114

Add 6 to both sides

3x = 120

Divide both sides by 3

x = 40

Hence, the value of x is 40

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In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

Answer:

6 feet

Step-by-step explanation:

8×8+x×x=10×10

x×x=100-64

x=6

Answer:

Step-by-step explanation:

Remark

This is a regular pentagon. The information given is enough the find the area of 1 triangle. There are 5 such triangles. So find the area of 1 of the triangles. The answer will be 5 times as much.

Givens

b = 18.3

h = 12.6

Formula

1 triangle = 1/2 * b * h

5 such triangles = 5 times as much

Solution

Area(1_triangle) = 1/2 * 18.3 * 12.6

Area (1_triangle) = 115.29

Answer: 5 * 115.29

Answer: 576.45

A Type II error occurs when we fail to reject a null hypothesis that is actually false. In this case, the null hypothesis is that the proportion of students who were quarantined at some point during the Fall Semester of 2020 is equal to or less than 0.65.

The alternative hypothesis is that the proportion is greater than 0.65. If we make a Type II error, we fail to reject the null hypothesis when it is actually false, meaning we do not conclude that the proportion is higher than 0.65 even though it actually is higher.

Therefore, the correct explanation for a Type II error, in this case, we would be: "Did not conclude the percent was higher than 65%, but it was higher."

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Answer:

It takes 3.5 cups of pancake mix and 2.625 cups of water to make 21 pancakes.

Step-by-step explain

First divide each by 6 to figure out how much mix and water it takes to make one pancake

1/6 mix + .125 cups water = 1 pancake

Multiple each by 21 to know how much mix and water it takes to make 21 pancakes

3.5 mix + 2.625 water = 21 pancakes

Answer:

15 3/4

Step-by-step explanation:

you multiply 3/4 times 21 then you will get 3/4 times 21/1 and the answer is 63/4 and simplify and get 15 and 3/4.

The product of rational expression is \(\rm \dfrac{x}{x^2-2x}\).

Given that

The rational expression is

\(\rm \dfrac{1}{x} \times \dfrac{x}{x-2}\)

We have to determine

The product of rational expression.

According to the question

The product of rational expression is determined in the following steps given below.

The rational expression is

\(\rm \dfrac{1}{x} \times \dfrac{x}{x-2}\)

Then,

The product of the rational expression is,

\(\rm= \dfrac{1}{x} \times \dfrac{x}{x-2}\\\\= \dfrac{1\times x}{x\times x - x \times 2}\\\\= \dfrac{x}{x^2-2x}\)

Hence, the product of rational expression is \(\rm \dfrac{x}{x^2-2x}\).

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Answer:

6

Step-by-step explanation:

If f(n) is f(-6), that means you need to input -6 in any places that have n in them.

f(-6) = --6

Two negatives make a positive.

f(-6) = 6

Hope this helps! :)

Hello!

To find the value of f(-6)

 ==> must plug '-6' into n's position in the equation

    f(-6) = -(-6) = 6

Hope that helps!

Thus, the value of the given integral is 4.45.

To use Simpson's rule the first step is to define the interval width by using the formula given below;\($$h = \frac{b-a}{n}$$Here, a = 1, b = 3, n = 3 $$h = \frac{3-1}{3}$$ $$h = \frac{2}{3}$$\)

After that, calculate the coefficients for the intervals of width \(h:$$c_0 = c_3 = \frac{1}{3}$$$$c_1 = c_2 = \frac{4}{3}$$\)

Thus, Simpson’s 1/3 rule is given as \($$\int_a^b f(x) dx \approx \frac{h}{3} (f(a)+4f(a+h)+2f(a+2h)+4f(a+3h)+f(b))$$\)

Now, we can substitute the interval width and limits into this formula to solve for our integral.

\($$\int_{1}^{3} x dx =\frac{2}{3}[\frac{1}{3} (f(1)+4f(1+\frac{2}{3})+2f(1+\frac{4}{3})+4f(1+\frac{2}{3})+f(3))]$$$$\int_{1}^{3} x dx = \frac{2}{3}[\frac{1}{3}(1 + 4(1.67) + 2(2.33) + 4(2.67) + 3)]$$$$\int_{1}^{3} x dx = \frac{2}{3}[6.68]$$$$\int_{1}^{3} x dx = 4.45$$\)

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