HELP ME ASAP PLEASE?!?
Find the length of the missing side. Simplify all radicals.

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Answer:

False

Step-by-step explanation:

f(x)=4x^3-12x^2-x+15

Using synthetic division

-2     4  -12   -1     15

            -8   40    -78

--------------------------

       4   -20  39  -63

Since this is not zero, this is not a lower bound

Answer:

\(\Large \boxed{\mathrm{False}}\)

Step-by-step explanation:

\(\sf f(x)=4x^3-12x^2-x+15\)

The zeros of the function is the values at which the function crosses the x-axis.

The value -2 is not a lower bound for the zeros of the function.

Answer:

22

Step-by-step explanation:

2x11=22

Answer:

25.12 cm

Step-by-step explanation:

The circumference of a circle is

C = pi * d

C = 3.14 * 8

C =25.12 cm

Answer:

The circle's circumference is 25.13 centimeters.

Step-by-step explanation:

C=2pi*r where r=radius

Since the diameter of a circle is 8 centimeters,

we know that the radius is 4 centimeters.

C=2pi*4=8pi=25.13

According to the model, each additional year of education adds $1200 to a person's yearly income in their first job after completing schooling.

We're given the equation y = 1200x + 7000, where x represents the number of years of education, and y represents the yearly income.

To find how much 1 year of education adds to a person's yearly income, we need to look at the coefficient of the variable x, which is 1200.

So according to the model, 1 year of education adds $1,200 to a person's yearly income.

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Answer:

10

Step-by-step explanation:

it is Pythagoras theorem

6*6=36

8*8=64

64+36=100

square root of 100 is 10

Cost of Goods Manufactured is an accounting term used to describe the total cost of producing and manufacturing goods. It includes all direct and indirect costs of production, including labor, materials, overhead, and other expenses. Below are the five components of the cost of goods manufactured.

Direct Materials: It includes the cost of raw materials used in manufacturing a product.

Direct Labor: It includes the wages paid to workers who directly worked on the production line or in manufacturing a product.

Factory Overhead: It includes all indirect costs of manufacturing a product such as depreciation on equipment, rent, insurance, utilities, etc. Work-in-Process

Inventory: It includes the cost of materials, labor, and overhead that has been incurred but has not yet been completed. Finished Goods Inventory: It includes the cost of goods that have been fully manufactured but have not yet been sold.

To calculate the cost of goods manufactured, the sum of all these five components is calculated. It helps manufacturers to determine the total cost of goods manufactured and the cost per unit of production. Cost of goods manufactured is essential in determining the pricing strategy for a product as it helps to ensure that the product is profitable.

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Triangle proportionality theorem is used for finding the length of the missing side of the triangle .

For example , let's take a question to solve.

We have to find the value of x, in the given dig.

If DEbar || BCbar , then AD/DB = AE/EC

The lines QR¯¯¯¯¯  and  ST¯¯¯¯¯ are parallel.

Therefore, by the Triangle Proportionality Theorem,

PS/QS=PT/RT

Substitute the values and solve for x .

6/2=9/x

Cross multiply.

6x=18

Divide both sides by 6 .

6x/6=18/6x=3

The value of x is 3 .

Therefore , the missing side of the triangle is 3

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Answer:

decimal 0.13

percent is 13

Step-by-step explanation:

Answer:

Decimal: 13

Percent: 13%

Step-by-step explanation:

Sorry if it wrong

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

The appropriate answer is B: There's not enough evidence to decide whether the distribution is skewed or roughly symmetric.

a. The quartiles divide the data into four equal parts. Q1 (the first quartile) is the median of the lower half of the data, Q3 (the third quartile) is the median of the upper half of the data. In this case, Q1 is 71 pounds, which means that 25% of the high school female athletes had a maximum bench press less than or equal to 71 pounds. Q3 is 91 pounds, indicating that 75% of the athletes had a maximum bench press less than or equal to 91 pounds.

b. Based on the given information, we can make an educated guess about the distribution's symmetry. The median (81 pounds) is equal to the mean, which suggests a roughly symmetric distribution. Additionally, the values of Q1 (71 pounds) and Q3 (91 pounds) are symmetrically distributed around the median. However, without additional information or a graphical representation of the data, we cannot definitively determine the distribution's skewness.

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Answer:

6 eggs

Step-b6y-step explanation:

18 - (18× 2/3) = 6

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Answer: x = 2

Step-by-step explanation:

3x - 5 = 1

add 5 to both sides

3x - 5 (+5) = 1 (+5)

3x = 6

divide by 3 on both sides

3x/3 = 6/3

x = 2

The possible values of k for the given system are:

(a) k ≠ 5 → The system has no solution.

(b) k = 5 → The system has infinitely many solutions.

(c) k can take any value except 5 → The system has a unique solution.

(a) To write down the augmented matrix of the given linear system, we can arrange the coefficients of the variables and the constant terms in a matrix form. The augmented matrix has the form [A|B], where A represents the coefficient matrix and B represents the constant matrix.

The given system of equations is:

2x + 2y + 12z = 8

3x - 2y + z = -10

x + y + (k² - 3)z = k + 1

The corresponding augmented matrix [A|B] is:

[  2   2   12  |  8 ]

[  3  -2    1   | -10 ]

[  1   1  (k²-3)| k+1 ]

(b) To find the possible values of k for which the system has no solution, infinitely many solutions, or a unique solution, we can use Gaussian elimination or row reduction.

Performing Gaussian elimination, we'll reduce the augmented matrix to row-echelon form or row-reduced echelon form.

[  2   2   12  |  8 ]

[  3  -2    1   | -10 ]

[  1   1  (k²-3)| k+1 ]

R2 = R2 - (3/2)R1

R3 = R3 - (1/2)R1

[  2   2   12  |  8 ]

[  0  -5  -17  | -26 ]

[  0  -1  (k²-15)/2 | (k-5)/2 ]

R3 = R3 - (1/5)R2

[  2   2   12  |  8 ]

[  0  -5  -17  | -26 ]

[  0   0  (k²-15)/2 - (k-5)/10 | (5-k)/10 ]

Now, we have the row-echelon form of the augmented matrix.

For the system to have a unique solution, the row-echelon form must not have any row of the form [0 0 0 | b] where b ≠ 0. So, we need to analyze the last row of the row-echelon form.

The last row can be written as:

0 * x + 0 * y + 0 * z = (5 - k) / 10

Now, let's consider the three cases:

Case 1: The system has no solution.

If (5 - k) / 10 ≠ 0, i.e., (5 - k) ≠ 0, the system has no solution. This implies k ≠ 5.

Case 2: The system has infinitely many solutions.

If (5 - k) / 10 = 0, i.e., (5 - k) = 0, the system has infinitely many solutions. This implies k = 5.

Case 3: The system has a unique solution.

If (5 - k) / 10 can take any non-zero value, the system has a unique solution. This implies k can be any value except 5.

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The expected value of playing this version of powerball is -1.995.

The expected value of a random variable is the sum of the product of its possible values and their respective probabilities. In this case, we have two possible values: -$2 (the cost to play) and $500,000,000 (the jackpot). The probability of winning is 1 out of 292,201,338, so the probability of losing is (292,201,338 - 1)/292,201,338 = 292,201,337/292,201,338 ≈ 0.999999996.
The expected value can be calculated as follows: Expected value = (probability of winning x value of winning) + (probability of losing x value of losing)Expected value = (1/292,201,338) x $500,000,000 + (292,201,337/292,201,338) x (-$2)Expected value = $1.71 - $1.995Expected value ≈ -$0.285Since the expected value is negative, it means that, on average, players will lose money playing this version of powerball. Therefore, it is not a good idea to play this game.

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The expected number of tails when a biased coin is tossed is 8/9.

The expected number of tails when a biased coin is tossed can be found using the formula E(X) = np, where n is the number of trials and p is the probability of a tail occurring.

In this case, the probability of a tail occurring is eight times as likely as a head, so p = 8/9.

If the coin is tossed once, then n = 1.

Therefore, the expected number of tails when this coin is tossed once is:

E(X) = np
E(X) = (1)(8/9)
E(X) = 8/9

So the expected number of tails when this biased coin is tossed once is 8/9.

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Answer:

1. Can I use the Atm for free?

2. What happens if I withdraw more money than I have in my account?

3. Does my account pay me intrest?

Step-by-step explanation:

1.ATMs allow you to withdraw money from your checking account without visiting a bank branch. But some withdrawals could cost you. Many banks charge you to use machines operated by other banks or third parties, and those fees can add up quickly.

2. Withdrawing more than your account contains is called an overdraft. Bank overdraft services generally allow your transaction to go through, but you will be charged a fee. Some banks prevent you from overdrafting when swiping your debit card and may let you request that all transactions are declined when your account doesn’t contain enough funds.

3. Generally, if checking accounts pay interest, the rate is very low. High-yield checking accounts offer higher interest but typically require higher balances. Savings accounts offer higher rates, but because the accounts are intended for saving, they’re subject to different rules

The total number of ways the winning number can be drawn using the combination is 45.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

We have,

The Total numbers, n = 10

The Numbers to select, r = 2

The following combination formula is used to determine the potential winning numbers.

Total = ⁿCᵣ

Where,

n = 10 and r = 2

Substitute the values in the above equation,

Total = ¹⁰C₂

Using the combination formula,

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 10! / 8! 2!

Total = 10 × 9 / 2

Total = 45

Hence, the number of ways is 45.

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Answer:

Up to 60% of the human adult body is water.

Step-by-step explanation:

Answer:

73% water, and the lungs are about 83% water. The skin contains 64% water, muscles and kidneys are 79%, and even the bones are watery: 31%.

Step-by-step explanation:

Answer: 294 square millimeters

Step-by-step explanation:

Each side of the cube is 7 mm.

First, find the area of one face. The formula for the area of a square is \(s^2\). 7 mm squared is 49 square millimeters.

A cube has 6 faces, so multiply the area of one face by 6. 49*6 = 294 square millimeters

To determine the price the student-athlete should charge for each hot dog to break even, we need to consider the total costs she incurs, including the vendor fee, equipment cost, and the cost per hot dog. By dividing the total costs by the anticipated number of hot dogs sold, we can find the price per hot dog that would allow her to break even.

The total costs for the student-athlete include the vendor fee of $3000 and the equipment cost of $4500, which sums up to $7500 for the season. Additionally, she incurs a cost of $0.35 per hot dog sold. With an anticipation of selling 2000 hot dogs, the total cost for the hot dogs would be 2000 x $0.35 = $700.

To break even, the total revenue from selling the hot dogs should cover the total costs. Therefore, the price per hot dog should be set in such a way that the revenue from selling 2000 hot dogs equals $7500. Dividing the total costs ($7500) by the number of hot dogs (2000), we find that the student-athlete should charge $3.75 per hot dog in order to break even. This price per hot dog would allow her to cover all her expenses and reach the break-even point.

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The probability of selecting at least one defective item at random is 0.3017.

The probability of an event occurring at least once will be calculated as the complement of the probability of the event never occurring. You can use exponents to multiply the number of events that occurred when calculating this amount.

Defect rate = P(defect) = 0.05

Probability is defined as the required outcome divided by the total number of possible outcomes.

P( at least 1 is defective) = 1 - P(none is defective)

P(not defective) = 1 - P(defective) = 1 - 0.05 = 0.95

P(none is defective) = P(non defective)^7

P(none defective) = 0.95× 0.95 × 0.95 × 0.95 × 0.95× 0.95× 0.95=0.6983

P(at least one is defective) = 1 - 0.6983 = 0.3017

Therefore, probability of at least one defective item is 0.3017.

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Answer:

\(\displaystyle a:b=\frac{1}{3}\)

Step-by-step explanation:

Ratios

We are given the following relations:

\(a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]\)

\(b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]\)

\(\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]\)

From [3]:

\(9c=d\)

Replacing into [2]:

\(b=\sqrt{63}+\sqrt{9c}\)

We can express 63=9*7:

\(b=\sqrt{9*7}+\sqrt{9c}\)

Taking the square root of 9:

\(b=3\sqrt{7}+3\sqrt{c}\)

Factoring:

\(b=3(\sqrt{7}+\sqrt{c})\)

Find the ration a:b:

\(\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}\)

Simplifying:

\(\boxed{a:b=\frac{1}{3}}\)

The first 5-terms of sequence "aₙ = (-1)ⁿ⁻¹/4ⁿ" are : a₁ = 1/4, a₂ = -1/16, a₃ = 1/64, a₄ = -1/256, a₅ = 1/1024.

A sequence is a ordered collection of elements, typically numbers, that are arranged in a specific order. Each element in a sequence is associated with a positive integer index, denoted as n, which represents its position in the sequence.

To find the first 5-terms of the sequence given by the formula aₙ = (-1)ⁿ⁻¹/4ⁿ, we substitute the values of n from 1 to 5:

For n = 1:

a₁ = (-1)¹⁻¹/4¹ = 1/4,

For n = 2:

a₂ = (-1)²⁻¹/4² = -1/16,

For n = 3:

a₃ = (-1)³⁻¹/4³ = 1/64,

For n = 4:

a₄ = (-1)⁴⁻¹/4⁴ = -1/256,

For n = 5:

a₅ = (-1)⁵⁻¹/4⁵ = 1/1024,

Therefore, the first five terms are: 1/4, -1/16, 1/64, -1/256, 1/1024.

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The given question is incomplete, the complete question is

List the first five terms of the sequence. aₙ = (-1)ⁿ⁻¹/4ⁿ.

Answer:

The best deal

Step-by-step explanation:

First of all what company is that?

And what type deal..?

\(The two equations given arey = x …. (1)x2 + y2 = 1 …. (2)Substitute equation (1) in (2)x2 + x2 = 12x2 = 1x2 = ½x = √1/2x = ±0.707As the square can be positive or negative we get x1 = 0.707 and x2 = -0.707From equation (1) we know that y = xy1= x1= 0.707y2= x2 = -0.707Therefore, the line y = x intersects the unit circle x2 + y2 = 1 at (0.707, 0.707) and (-0.707, -0.707).\)

A junction is a place where two lines come together or cross. In the illustration above, "point K is the intersection of line segments PQ and AB" is what we would state. The phrase "the line segment PQ crosses AB at position K" is another option.

Keep in mind that two line segments do not always need to intersect. In the illustration above, move point B higher until the intersection of the two line segments disappears. However, keep in mind that lines (as opposed to line segments) continue indefinitely in both directions, thus unless they are absolutely parallel, they will always cross someplace.

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Hypotenuse² = Perpendicular² + Base²

10² = 1²+x²

x²= 100 -1

x=√99

x≈9.94

The values of x and y that are solutions to the simultaneous equations are; x = -11 and y = -4

We are given the simultaneous equations;

4x - 6y = -20   -----(eq 1)

-2x + 4y = 6     -----(eq 2)

Multiply equation 2 by 2 and eq 1 by 1 to get;

-4x + 8y = 12     -----(eq 3)

Add eq 3 to eq 1 to get;

2y = -8

y = -4

Thus;

4x - 6(-4) = -20

4x + 24 = - 20

4x = -20 - 24

4x = -44

x = -44/4

x = -11

Thus, the values of x and y that are solutions to the simultaneous equations are; x = -11 and y = -4

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