Are the lines x-2y = 4 and
y = 2x-2 perpendicular

Answer:

90+33+7x+8 = 180 so 180-131 = 7x so 7x = 49 or x = 7.

Answer: 8/1 = 32/4  (32 ounces in 4 cups)

Step-by-step explanation:

Means and Variances of Linear Combinations:


(a) X1 - 2X2

Mean: μa = μ1 - 2μ2

Variance: σa2 = σ12 + 4σ22 + 4σ122



(b) X1 + 2X2 - 3

Mean: μb = μ1 + 2μ2 - 3

Variance: σb2 = σ12 + 4σ22 + 4σ122



(c) 3X1 - 4X2

Mean: μc = 3μ1 - 4μ2

Variance: σc2 = 9σ12 + 16σ22



In the case that X1 and X2 are independent, then σ122 = 0, so:

(a) X1 - 2X2

Mean: μa = μ1 - 2μ2

Variance: σa2 = σ12 + 4σ22



(b) X1 + 2X2 - 3

Mean: μb = μ1 + 2μ2 - 3

Variance: σb2 = σ12 + 4σ22



(c) 3X1 - 4X2

Mean: μc = 3μ1 - 4μ2

Variance: σc2 = 9σ12 + 16σ22

The smallest integer 160 needs to be multiplied by to give a square number is 15.

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The smallest integer 160 needs to be multiplied by to give a square number;

60 x 15= 900

Hence,

The square root of 900= 30

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Answer: A: substitution method

Step-by-step explanation:

The substitution method is one way of solving systems of equations. To use the substitution method, use one equation to find an expression for one of the variables in terms of the other variable. Then substitute that expression in place of that variable in the second equation.

Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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Answer:

Step-by-step explanation:

Top left

Top right

Bottom left

Bottom right

Answer:

AAS, HL, ASA, Not enough info

Step-by-step explanation:

Answer:

6 to the power of 10

Step-by-step explanation:

Since there are parenthesis, you multiply the exponents instead of adding. 5*2=10

Answer:

ok 4 ways

Step-by-step explanation:

1.add 5+4=9

if not

2.4-5=-1

if not

3. 4x5=20

if still not then

4. 4/5=0.8

hope that helps

Answer:

twelve and a half

Step-by-step explanation:

2 1/2 + 3 1/2 + 1  1/2 + 4 +2 = 12 1/2

\(\sqrt 7 +\sqrt{28} - \sqrt{700}\\\\\\=\sqrt 7 +\sqrt{4 \times 7} - \sqrt{100 \times 7}\\\\\\=\sqrt 7 + 2\sqrt 7 - 10\sqrt 7\\\\\\=-7\sqrt 7\)

The probability of at least one error occurring in one billion divisions with this chip is approximately 0.1841, or 18.41%.

The probability of at least one error occurring in one billion divisions with this chip can be calculated using the binomial distribution. Let p be the probability of an error occurring in one division, which is 1/5 billion, and q be the probability of no error occurring in one division, which is 1 - p. Then, the probability of at least one error occurring in one billion divisions can be calculated as 1 - (q)^1,000,000,000, where the exponent is the number of trials.

Plugging in the values, we get:

p = 1/5 billion

q = 1 - p = 4,999,999,999/5 billion

n = 1 billion

P(at least one error) = 1 - (4,999,999,999/5 billion)^1,000,000,000 = 0.1841

Therefore, the probability of at least one error occurring in one billion divisions with this chip is approximately 0.1841, or 18.41%.

The binomial distribution is used to model the number of successes in a fixed number of independent trials with a constant probability of success. In this case, the number of successes is the number of errors, and the probability of success is the probability of an error occurring in one division. We calculate the probability of at least one error occurring by subtracting the probability of no errors from 1. We use the exponentiation rule of exponents to calculate the probability of no errors occurring in one billion divisions, which is the probability of no errors occurring in one division raised to the power of the number of divisions. Finally, we use the formula to get the probability of at least one error occurring in one billion divisions with this chip.

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Answer:

x = 8

Step-by-step explanation:

remember:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles.

The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

based on the figure given:

AB=8 is also equal to BC=x=8

therefore, your x value would be 8

Answer:

200,000 (brainliest would  be appreciated!)

Step-by-step explanation:

The equivalent expression by distributing the sign outside the parentheses: -(-8.2w+10) −(−8.2w+10) will be 16.4w - 20.

It should be noted that bwsed on the information given, the expression is illustrated as:

-(-8.2w+10) −(−8.2w+10)

The signs should be taken into consideration. This will be:

-(-8.2w+10) −(−8.2w+10)

= 8.2w - 10 + 8.2w - 10

= 16.4w - 20

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In solving for the radius (r) of the can, to get 6.82, both sides of the equation in the last step was divided by 43.96.

From the image shown, the formula for the volume of the juice can was expressed as:

V = Bh, where:

B is the area of the base of the can = πr² (r = radius)

h is the height of the can

Given the parameters below:

Volume (V) = 300 cubic centimeters

h = 14 cm

π = 3.14

Plug in the values:

300 = 3.14 * r² * 14

300 = 43.96r²

Divide both sides by 43.96:

300/43.96 = 43.96r²/43.96

6.82 ≈ r²

Square both sides:

√6.82 ≈ √r²

2.61 ≈ r

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The price of a shirt is 8 and the price of a pair of jeans is 16.

To solve this system of equations, we can use substitution. First, we can replace the x in the second equation with 8, which is the x-value from the first equation. This gives us

Simplifying this equation, we get

Subtracting 24 from both sides gives us

Finally, dividing both sides of the equation by 3 gives us

We can then substitute 16 for y in the first equation. This gives us

Simplifying this equation gives us

Dividing both sides of the equation by 4 gives us

4x + 2y = 64

3x + 3y = 72

x = 8, y = 16

Since x represents the price of a shirt and y represents the price of a pair of jeans, the price of a shirt is 8 and the price of a pair of jeans is 16.

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Answer:

Yes it is true.

Step-by-step explanation:

If you go on and solve for x, you get 3. I got this by subtracting the 4 from both sides, then getting 15x=45. Then I divided both sides by 15 and got x=3. If you plug that in, you get 4+45=49. This proves to be true.

Answer:A

Step-by-step explanation:

Correct

Answer:

A

Step-by-step explanation:

We need the angle AOD to find the x value

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Missed data: ABCD is a QUADRILATERAL

'O'  is a point in the middle joining OA,OB,OC and OD , find the angle AOD  which is x here

Adding 3 angles we get 11x+22,

Equation is :

11x+22 + AOD = 360

=> AOD = 360 - 22- 11x

     AOD= 338- 11x  

We need the angle AOD to find the x value

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Answer:

0.78539816

Step-by-step explanation:

hope this helped

Answer:

25m

Step-by-step explanation:

/_B=pie/4=45°

since we have /_C=90° then this triangle is a right isosceles triangle

so sides are equal

so a=b= 25 m

Answer:

Step-by-step explanation: the area of the shape is the length times width or base times height. It's our length is 12 Are with this eight. And when you multiply 12 times eight, we get 96 feet squared, which is the area of our rectangle. I think its a rectangle.

Answer:

1) -15+8i

2) x^2+2x-5

Step-by-step explanation:

1) apply perfect square formula

(4i)^2+2*4i1+1^2

then simplify

2)remove parentheses

x+1+(x-2)(x+3)

expand (x-2)(x+3)

x+1+x^2+x-6

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

Answer:

A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle.

Answer:

do you have a pic of the circle

Step-by-step explanation:

For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\)  is  \($\sin^{-1}\frac{x}{a} + C$.\)

A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.

The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.

For given problem,

\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)

Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)

\($= \int d\theta$\)

\($= \theta + C$\)

Substituting back for\($x = a\sin\theta$:\)

\($= \sin^{-1}\frac{x}{a} + C$\)

Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)

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Answer:

\(\frac{1}{40}\)

Step-by-step explanation:

Answer:

1/40

Step-by-step explanation:

\(\frac{1}{8}\) ÷ \(\frac{5}{1}\)

\(\frac{1 x 1 }{8 x 5}\) = 1/40

a) Completing the statements:

As θ varies from 0 to π/2 units, z varies from 2 to 0 units.

As θ varies from π/2 to π units, z varies from 0 to -2 units.

As θ varies from π to 3π/2 units, z varies from -2 to 0 units.

As θ varies from 3π/2 to 2π units, z varies from 0 to 2 units.

b) Based on the given information, we can sketch a graph of the relationship between θ and z. The x-axis represents the angle θ, and the y-axis represents the z-coordinate. The graph will show how the z-coordinate changes as the angle θ varies. It will start at (0, 2), move downwards to (π/2, 0), then continue downwards to (π, -2), and finally move back upwards to (2π, 2). The graph will form a wave-like shape with periodicity of 2π, reflecting the circular motion of the point along the circular path.

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The person's average daily balance will be 90,190 by adding up the balances for each day of the month and dividing by the total number of days.

In this case, the person has a balance of $3,270 for 9 days, $4,360 for 10 days, and $1,430 for 12 days.

To find the average daily balance, we add up the product of each balance and its corresponding number of days, and then divide by the total number of days in the month (31 days).

So, the calculation would be:

(3270 * 9 + 4360 * 10 + 1430 * 12) / 31

90,190

By performing this calculation, we can determine the average daily balance for the person's credit card rounded to the nearest cent.

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Answer: 54

Step-by-step explanation:

We know that 45 is 5/6. So that means 45/5=9. 9 is 1/6. 9x6=54 is 54. 54 is the number.