Write as an equation and solve: Eight less than the number is 31.

The answer to this Question based on Linear pair is 180 degree

What is Linear Pair?

A linear pair is a pair of adjacent angles that are supplementary, meaning they add up to equal 180 degrees. Linear pairs can be found in many shapes and geometric shapes, such as squares, rectangles, and parallelograms. Linear pairs can also be found in the angles of intersecting lines. When two lines intersect, four angles are formed, and two of them will always form a linear pair. Linear pairs can also be found in circles, as the angles formed by two chords that intersect with each other will always form a linear pair.

Suppose any triangle we are given 6 angles in which 3 are interior and 3 are exterior

suppose we take any pair of interior and exterior and we can see that it will always form a linear pair and its sum will be equal to 180 degree

Here in this question sum of angle 1 and 2

sum of angle 5 and 6

sum of angle 3 and 4

all will be same and will be equal to 180 degree by Linear Pair

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Answer:

a,b,c

Step-by-step explanation:

a) m∠3 + m∠4 = 180°

b) m∠2 + m∠4 + m∠6 = 180°

c) m∠2 + m∠4 = m∠5

these are the correct answers  for edge 2023 geometry assignment; Triangle Angle Theorems

hope this helps!

Company A's website receives 2,000 times more visitors per year than company B's website.

To determine how many times more visitors per year the website company A receives than company B, we need to find the ratio of the number of visitors to each website. The number of visitors to company A's website is 8 x 10^6, and the number of visitors to company B's website is 4 x 10^3.

Hence, the ratio of the number of visitors to the two websites is:

8 x 10^6 / 4 x 10^3

Simplifying this expression, we can cancel out a factor of 4 x 10^3 from both the numerator and the denominator:

8 x 10^6 / 4 x 10^3 = 2 x 10^3

Therefore, company A's website receives 2 x 10^3 times more visitors per year than company B's website. This means that for every visitor that company B's website receives, company A's website receives 2,000 visitors.

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A 1% error in r will lead to a larger error in the volume.

A 1% error in r will cause a larger error in the volume, since the percentage increase in volume is proportional to the square of r.

The volume of a cylinder of radius r and height h is V = πr2h. The linear approximation to the volume of a cylinder is given by V ≈ πr2(h + r).

Thus, the percentage increase in volume when r and h are each increased by c is given by 100% × (Vnew - Vold) / Vold = 100% × (π(r + c)2(h + c + r) - πr2h) / πr2h = 200c/r + 100c/h.

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Answer:\

\(10^{7}\)

Step-by-step explanation:

keep the number, add the exponents

The sample mean (X) of 10 observations selected from a normal population having population standard deviation (σ) of 5 is 20 with the standard deviation of the sample (s) being 2.23.

The formula for sample mean is given by,

Sample Mean \((X)= (x1+x2+x3+...+xn) / n\)

Where x1, x2, x3,...,xn are individual observations and n is the number of observations.

In this case, the sample mean (X) is given as 20 and the number of observations (n) is 10.

Therefore, the formula can be written as:

\(X = (x1+x2+x3+...+x10) / 10\)

Since the population standard deviation (σ) is given as 5, the standard deviation of the sample (s) can be calculated using the formula:

s = σ/√n

Where n is the number of observations.

Therefore, in this case, the standard deviation of the sample (s) is calculated as:

s = 5/√10

s = 2.23

Thus, the sample mean (X) of 10 observations selected from a normal population having population standard deviation (σ) of 5 is 20 with the standard deviation of the sample (s) being 2.23.

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Step-by-step explanation:

2x+3x=15

5x=15

x=15/5

x=3

Answer:

B.

Hope that helps!

Step-by-step explanation:

Answer:

B. Sometimes

Step-by-step explanation:

Hope this helps!

Answer:3:4

Step-by-step explanation:

the unsimplified version is 12:16

you have to find the highest common factor in them

in this case it would be 4

divide both numbers by 4

3:4

The probability of the spinner stopping on a blue section on the first spin and then a red section on the second spin is 3/49.

To find the probability of the spinner stopping on a blue section on the first spin and then a red section on the second spin, we need to multiply the probabilities of each event happening independently.

Step 1: Find the probability of landing on a blue section on the first spin.

There is 1 blue section out of 7 total sections, so the probability is 1/7.

Step 2: Find the probability of landing on a red section on the second spin.

There are 3 red sections out of 7 total sections, so the probability is 3/7.

Step 3: Multiply the probabilities from step 1 and step 2.

(1/7) * (3/7) = 3/49.

So, the probability of the spinner stopping on a blue section on the first spin and then a red section on the second spin is 3/49.

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A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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The total amount that must be repaid is $139,076.12.

Annual simple interest is a type of interest that is calculated on the principal amount of a loan or investment for a one-year period. Simple interest is a fixed percentage of the principal amount, which is added to the principal at regular intervals. The interest is calculated only on the original principal amount and does not include any interest earned on the interest itself.

Compound interest is a type of interest that is calculated not only on the principal amount of a loan or investment, but also on the interest earned on that principal amount over time. In other words, compound interest is interest that is added to the principal amount, and then interest is calculated on the new total amount (principal + interest). This process is repeated at regular intervals, such as monthly or annually.

In the given question, The total amount that must be repaid can be found using the simple interest formula:

I = Prt

Where:

P = principal amount borrowed = $87,495

r = annual interest rate = 8.355%

t = time period in years = 7

So, substituting the values we get:

I = 87,495 * 0.08355 * 7 = 51,581.12

Therefore, the total amount that must be repaid is:

87,495 + 51,581.12 = 139,076.12

Rounding to the nearest cent, the answer is $139,076.12.

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Answer:What do you need help with?   My name is woods245 and whatever you need help with?

Step-by-step explanation:

4ai. The ratio of the length of a side of the object to the corresponding length in the image is 1 : 2.

4aii. The scale factor of the enlargement is 2.

4bi. The ratio of the length of a side of the object to the corresponding length in the image is 1 : 5.

4bii. The scale factor of the enlargement is 5.

In Mathematics and Geometry, two triangles are similar when the ratio of their corresponding lengths are the same (equal) and their corresponding angles are congruent.

This ultimately implies that, the corresponding lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar;

4ai. Ratio of triangle = 2 : 4

      Ratio of triangle = 1 : 2

4aii. For the scale factor of enlargement, we have:

Scale factor of enlargement = 2/1

Scale factor of enlargement = 2.

4bi. Ratio of square = 1 : 5.

4bii. For the scale factor of enlargement, we have:

Scale factor of enlargement = 5/1

Scale factor of enlargement = 5.

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Answer:

And Jeremiah Johnson city TN to

i

Answer: 81

Step-by-step explanation: If we divide the numbers given to use, (2 factors of compost), you get 9, (do 18 divided by 2). 9 times 9 is 81.

The profit for a selling price of $10 is approximately $64,692. To find the quadratic regression equation for this set of data, we can use the method of least squares to fit a quadratic function to the given data points.

The equation of a quadratic function is y =\(ax^2\) + bx + c, where a, b, and c are constants. We will use column A for the widget selling price (x) and column B for the total profit earned at that price (y). Using calculator with regression capabilities, we can obtain the following quadratic regression equation for the given data:

y = -180.69\(x^2\) + 4623.75x + 1423.64

To find the profit for a selling price of 10 dollars, we can simply substitute x = 10 into the equation and evaluate:

y =\(-180.69\)\((10)^2\) + 4623.75(10) + 1423.64

y = -18069 + 46237.5 + 1423.64

y = 64692.14

Therefore, the profit for a selling price of 10 dollars is approximately $64,692.

The complete question is:

Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to the nearest dollar, for a selling price of 10 dollars.

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Answer:

Step-by-step explanation:

5²+8²=25+64=89

12²=144

5²+8²≠12²

so it is not aright angled triangle.

Answer:

Not a right triangle

Step-by-step explanation:

A triangle is right if the sides of the triangle satisfies the Pythagoras theorem.

That is square of the largest sides = sum of the sqaures of the sides .

That is ,

            \(12^2 = 5^2 + 8^2 \\\\144 = 25 + 64 \\\\144 \neq 89\)

It did not satisfy the Pythagoras theorem.

Hence the given triangle is not a right triangle.

The probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

Given that the laptop is usable, we need to assess the probability that it has been tested. Let T stand for the laptop's testing event and F stand for the laptop's functioning event. The probability of T given F is what we are looking for next, or P(T|F).

The Bayes theorem can be used to determine P(T|F):

P(T|F) = P(F|T) * P(T) / P(F)

where P(F|T) is the probability that a laptop will be tested (which is 0.95), P(T) is the likelihood that a laptop will be tested, and P(F) is the likelihood that a laptop will be functional (which is the total of the likelihoods of being functional and defective, i.e., 0.95 + 0.05 = 1).

Using the conditional probability formula, we can determine P(F|T):

P(F|T) = P(F and T) / P(T)

Since 95% of the laptops produced are tested and determined to be functional, we know that the probability of a laptop being functional and tested is 0.95.

Therefore:

P(F|T) = 0.95 / 0.95 = 1

Substituting into Bayes' theorem:

P(T|F) = 1 * 0.95 / 1 = 0.95

Therefore, the probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

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Answer:

An equivalent ratio can be 14:24.

Answer:

RSTU is a parallelogram and SU is a diagonal of the parallelogram. Quantity I : Value of x Quantity II : Value of y

Step-by-step explanation:

River has been losing money for 11 days.

To find out how many days River has been losing money, we need to divide the total debt by the amount he goes into debt each day.

Given that River goes into debt 2 1/2 (or 2.5) every day and he is currently 27.50 in debt, we can set up the following equation:

2.5 * x = 27.50

where x represents the number of days River has been losing money.

To solve for x, we divide both sides of the equation by 2.5:

x = 27.50 / 2.5

x = 11

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Answer:

The formula to get the circumference of a circle is \(C=2*\pi * r\) but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this \(C=d*\pi\).

We can then input the value and we get that \(C=1*\pi\) which then just narrows down to \(C=3.142\).

Hope this helps!  Let me know if you have any questions

Answer:

(f*g)(x) = 3x^2 + 25x - 18

Step-by-step explanation:

(f*g)(x) represents the product of the two functions f and g:

(f*g)(x) = 27x - 18 + 3x^2 - 2x, or, after simplification,

(f*g)(x) = 25x - 18 + 3x^2, or

(f*g)(x) = 3x^2 + 25x - 18

Answer:

I would be Channel #2 from scream queens

Step-by-step explanation:

Why just because she was the first one that came to mind :)

Answer:

Stitch from Lilo and Stitch ^^

Step-by-step explanation:

That movie always was a favorite of mine, also, so fluffy!

Answer:

hey guys!! answer is B!!

Step-by-step explanation

hope this helps!

Answer:

b give brainest

Step-by-step explanation:

The return on the market portfolio is approximately 10.4%.

Suppose the risk-free return is 3%. The beta of a managed portfolio is 1.75. To calculate the return on the market portfolio using Jensen's measure, we can use the Capital Asset Pricing Model (CAPM) formula:

Expected Return = Risk-Free Return + Beta * (Market Return - Risk-Free Return)

Given that the alpha is 0% and the average return is 16%, we can rewrite the formula:

16% = 3% + 1.75 * (Market Return - 3%)

Now, we solve for the Market Return:

13% = 1.75 * (Market Return - 3%)

13/1.75 = Market Return - 3

7.43 ≈ Market Return - 3

Market Return ≈ 10.43%

So, the return on the market portfolio is approximately 10.4%.

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To ensure that we have at least 2 cards of the same color, we need to remove 11 cards from the box.  The worst-case scenario is when we remove all the cards of one color and one card from each of the other two colors.

In this case, we would have removed a total of 4 red cards, 5 blue cards, and 1 green card, making a total of 10 cards. However, we still wouldn't have 2 cards of the same color.

To guarantee that we have 2 cards of the same color, we need to remove one more card. This could be either a red card or a blue card. Thus, the smallest number of cards we must remove from the box is 11.

By removing 11 cards, we ensure that we have at least 2 cards of the same color, regardless of the specific cards we remove.

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57 mph is the answer

Simplifying each equation:

-4x₁

To diagonalize the matrix A, we need to find an invertible matrix P and a diagonal matrix D such that A = PDP⁻¹.

To begin, let's find the eigenvalues of matrix A. We solve the characteristic equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.

A - λI =

[-11 - λ   3       -9   ]

[   0    -5 - λ    0    ]

[   6    -3     4 - λ]

Expanding the determinant equation, we have:

(-11 - λ) * ( -5 - λ) * (4 - λ) - (3 * 0 * 6) - (-9 * (-5) * 6) - ((-9) * (-3) * (4 - λ)) = 0

Simplifying further, we get:

(-11 - λ) * ( -5 - λ) * (4 - λ) + 54 + 270 - 27(4 - λ) = 0

Expanding and collecting like terms, we have:

(-11 - λ) * ( -5 - λ) * (4 - λ) + 324 - 27λ = 0

Simplifying again, we obtain:

(-λ - 11)(-λ - 5)(-λ + 4) + 324 - 27λ = 0

Expanding and simplifying:

(λ + 11)(λ + 5)(λ - 4) + 27λ - 324 = 0

Now, we can solve this equation to find the eigenvalues.

Solving for λ, we find three eigenvalues:

λ₁ = -2,  λ₂ = -7,  λ₃ = 7

Next, we need to find the corresponding eigenvectors for each eigenvalue.

For λ₁ = -2:

(A + 2I)x = 0

[-9 3 -9] * [x₁] = [0]

[0 -3 0] * [x₂] = [0]

[6 -3 6] * [x₃] = [0]

Simplifying each equation:

-9x₁ + 3x₂ - 9x₃ = 0

-3x₂ = 0

6x₁ - 3x₂ + 6x₃ = 0

From the second equation, we get x₂ = 0. Substituting this into the first and third equations, we have:

-9x₁ - 9x₃ = 0

6x₁ + 6x₃ = 0

Simplifying further:

-9x₁ - 9x₃ = 0

6x₁ + 6x₃ = 0

Dividing each equation by -9 and 6, respectively, we get:

x₁ + x₃ = 0

x₁ + x₃ = 0

This indicates that x₁ and x₃ can take any value as long as they are equal. We can choose x₁ = 1 and x₃ = -1 to obtain a normalized eigenvector:

v₁ = [1, 0, -1]

For λ₂ = -7:

(A + 7I)x = 0

[-4 3 -9] * [x₁] = [0]

[0 2 0] * [x₂] = [0]

[6 -3 11] * [x₃] = [0]

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