Find the radius and center of the circle given by the equation below. (x – 6)2 + (y + 4)2 = 7 r = √7 and center at (-4, 6) r = 7 and center at (6, -4) r = 7 and center at (-6, 4) r = √7 and (6, -4)

Answer:

Mr.Green washed the most laundry with .375 of it done

what remains is .291

Step-by-step explanation:

3/8 or 3 divided by 8 is .375

1/3= .3333 repeating or rounded to .334

.375+.334= .709

1.000 - .709= .291

hopes this helps

Answer:

1. Mr. Green washed more laundry 2. 7/24 of the laundry still needs to be washed

Step-by-step explanation:

If you find a common denominator you can compare them. I used the common denomiator of 24. Next, you need to change both fractions so that they have the same denominator. To do that we have to multiply both the numerator and denominator of 3/8 by 3. When you do that, you end up with 9/24. Then you have to do the same for 1/3 but this time multiplying the numerator and the denominator by 8. That will leave us with 9/24 and 8/24 which proves that Mr. Green did more laundry.

For the second question, we will need to add the two amounts of laundry already washed and then find out how much remains from there. We can use the fractions that already have a common denominator from the explanation above. Now we have to add 9/24 and 8/24 together. Once we add them together, we will get 17/24 which is how much laundry is already done. Now, we need to take the remaining amount from 17/24 which is 7/24, and that represents how much laundry sitll needs to be washed.

(sorry if this is confusing but I hope it helped!)

Answer:

Nonlinar assosion

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

Since AB is tangent to circle E at A, we know that angle CAB is a right angle (tangent is perpendicular to the radius at the point of tangency). Therefore, triangle ADC is a right triangle.

Let's use the Pythagorean theorem to find the length of CE:

CE^2 = AC^2 + AE^2 (using Pythagorean theorem in triangle ACE)

CE^2 = 9^2 + EA^2 (since AE = EA, by definition of radius)

CE^2 = 81 + EA^2

We still need to find EA. Let's use the fact that EA is half the length of CD:

EA = CD/2

Now we can substitute this expression into the previous equation:

CE^2 = 81 + (CD/2)^2

CE^2 = 81 + CD^2/4

Next, let's use the Pythagorean theorem in triangle ADC:

AD^2 + DC^2 = AC^2

4^2 + DC^2 = 9^2

DC^2 = 9^2 - 4^2

DC^2 = 65

Now we can substitute this expression into the previous equation:

CE^2 = 81 + 65/4

CE^2 = 99.25

Taking the square root of both sides, we get:

CE ≈ 9.96

Therefore, CD = 2CE ≈ 19.9.

Answer: CD ≈ 19.9

If the cost price of the goods is R200 and they are sold at a mark-up of 100%, then the selling price is equal to the cost price plus the mark-up, or:

Selling price = Cost price + Mark-up

Mark-up = 100% x Cost price

= 100% x R200

= R200

So the mark-up is R200.

Selling price = Cost price + Mark-up

= R200 + R200

= R400

Therefore, the selling price of the goods is R400.

Answer:

0.5r+2g>=20.75

Step-by-step explanation:

The total number of months he made deposits and multiply that by the monthly deposit amount.

Chase started an IRA at the age of 26 and deposited $400 each month until he retired at the age of 65. To determine the amount of money Chase deposited over the length of the investment, we need to calculate the total number of months he made deposits and multiply that by the monthly deposit amount.

Number of months = (Retirement age - Starting age) * 12
Number of months = (65 - 26) * 12
Number of months = 468

Total deposits = Number of months * Monthly deposit amount
Total deposits = 468 * 400
Total deposits = $187,200

To determine how much Chase made in interest upon retirement, we need to subtract the total deposits from the retirement savings.

Interest = Retirement savings - Total deposits
Interest = $838,879.58 - $187,200
Interest = $651,679.58

Therefore, Chase deposited a total of $187,200 over the length of the investment and made $651,679.58 in interest upon retirement.

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Answer: 0.000000000115

Step-by-step explanation: 1.15e-10 = 1.15x10^-10

The ratio of the probability of flipping a tail to the probability of flipping a head when the probability of getting three heads is the same as the probability of getting exactly two tails in three flips is 1/3.

Let p be the probability of flipping a head and q be the probability of flipping a tail.

The probability of getting three heads in three flips is \((p)^3.\)

The probability of getting exactly two tails in three flips is 3pq².

Given that these probabilities are equal, we have:

\((p)^3\)= 3pq²

Simplifying this equation gives:

p = 3q

Dividing both sides by q gives:

p/q = 3

Therefore, the ratio of the probability of flipping a tail to the probability of flipping a head is 1/3.

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Answer:

c

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

2x+3y where it is 2,2 become 4 plus 6 which is 10

Answer:

A

Step-by-step explanation:

Step 1:

Make your equation into y=mx+b format

2x+3y=10 is the same as y=-2/3x+10/3 (10/3 is about 3.33)

Step 2:

Graph your equation

Step 3:

Plot your points and you will see that the only one that works is (2,2)

Hope that helps

Answer:

legend

Step-by-step explanation:

Option C, 36/3 square units, is equivalent to this answer, so that is the correct choice

What is a formula of area of triangle?

To calculate the area of a triangle, use the formula area = 1/2 * base * height.

To find the area of triangle ABC, we can use the formula:

Area = (1/2) * base * height

where the base and height are the dimensions of the triangle that form a right angle.

In this case, we don't have the dimensions of the triangle that form a right angle, but we know that the triangle has two angles that are 60 degrees each. This tells us that the triangle is an equilateral triangle, and all three sides are equal.

Let's call the length of each side "s". Then, we can use the formula for the area of an equilateral triangle:

\(Area = (\sqrt(3)/4) * s^2\)

Plugging in the given value of 12 for s, we get:

\(Area = (\sqrt{(3)/4) * 12^2}\\\\ Area \ = (\sqrt{(3)/4) * 144} \\\\Area = 36\sqrt{(3)}\)

Therefore, the area of triangle ABC is \(36\sqrt(3)\) square units.

Option C, 36/3 square units, is equivalent to this answer, so that is the correct choice.

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Answer:

I believe y would be 70°

Step-by-step explanation:

Hope this helps!

Answer: a) Let Q be an orthogonal matrix and let λ be an eigenvalue of Q. Then there exists a non-zero vector v such that Qv = λv. Taking the conjugate transpose of both sides, we have:

(Qv)^T = (λv)^T

v^TQ^T = λv^T

Since Q is orthogonal, we have Q^TQ = I, so Q^T = Q^(-1). Substituting this into the above equation, we get:

v^TQ^(-1)Q = λv^T

v^T = λv^T

Taking the norm of both sides, we have:

|v|^2 = |λ|^2|v|^2

Since v is non-zero, we can cancel the |v|^2 term and we get:

|λ|^2 = 1

Taking the square root of both sides, we get |λ| = 1.

b) Let Q1 and Q2 be orthogonal matrices. Then we have:

(Q1Q2)^T(Q1Q2) = Q2^TQ1^TQ1Q2 = Q2^TQ2 = I

where we have used the fact that Q1^TQ1 = I and Q2^TQ2 = I since Q1 and Q2 are orthogonal matrices. Therefore, Q1Q2 is an orthogonal matrix.

The term that is not possible in the domain of a sequence is:

-5

The domain of a function is the set that contains all possible input values for the function. For a sequence, the domain is the set that contains all the indexed of the terms, starting at 0 and going until the nth term.

For example, suppose we have the following sequence: 3, 5, 7, ...

From what was explained above, which also can be visualized with the example, an index term of a sequence cannot be negative, hence the term that is not possible in the domain of a sequence is:

-5.

Which is the only negative number of the options.

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one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.

What is eigenvalue?

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

\(A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\\)

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

\(A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right]\)

and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)

and the roots of this polynomial is:

\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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Complete Quetion

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:\(5\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{50}\) ==>

2x25 ==> El 25 lo puedes reducir más ==> 5x5

Como el 5 tiene dos numero que se multiplican por si mismo se convierte en uno solo y va fuera de la raiz cuadrada.

Como el 2 que multiplicaste por 25 ya no se puede reducir y no tiene par, va adentro de la raiz cuadrada.

Resultado:

\(5\sqrt{2}\)

Answer:

70, 85, 93, 100, 125, and 127

Explanation:

We want to create a data set with 6 different values whose mean is 100.

Let the sum of the 6 numbers = x

What this means is that the 6 numbers must add up to 600.

Let 5 numbers in the data set be:

• 70, 93, 100, 125, and 127

Add the 5 numbers up:

Subtract the sum from 600 to get the 6th number.

Thus, the 6 diffrent values are:

We need to know the percentage of companies in the sample that are likely to require higher employee contributions in order to calculate the confidence interval.

Based on the information provided, we can calculate the margin of error and confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage in the upcoming year. First, we need to know the sample size and the percentage of companies in the sample that are likely to require higher employee contributions. Unfortunately, this information is not given in the question. Without this information, it is impossible to calculate the margin of error and confidence interval. We need to know the sample size to determine the standard error of the proportion, which is necessary for calculating the margin of error. Additionally, we need to know the percentage of companies in the sample that are likely to require higher employee contributions in order to calculate the confidence interval.

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The independent set in a graph is a set of vertices that contain no edges. So, no neighboring vertices are included. The max independent set problem is to get an independent set of maximum size in graph G.

The solution for this question is discussed below:

a) The integer linear program for the max independent set problem is as follows:

maximize ∑x_i Subject to: x_i+x_j ≤ 1 {i,j} ∈ E;x_i ∈ {0, 1} ∀i. The variable x_i can represent whether the ith vertex is in the independent set. It can take on two values, either 0 or 1.

b) The LP relaxation for the max independent set problem is as follows:

Maximize ∑x_iSubject to:

xi+xj ≤ 1 ∀ {i, j} ∈ E;xi ≥ 0 ∀i. The variable xi can take on fractional values in the LP relaxation.

c) The family of graphs is as follows:

Consider a family of graphs G = (V, E) defined as follows. The vertex set V has n = 2^k vertices, where k is a positive integer. The set of edges E is defined as {uv:u, v ∈ {0, 1}^k and u≠v and u, v differ in precisely one coordinate}. It can be shown that the size of the max independent set is n/2. Using LP, the value can be determined. LP provides a value of approximately n/4. Therefore, the ratio LP-OPT/OPT is at least c/4. Therefore, the ratio is in for a constant c>0.

d) The size of a max-independent set is equivalent to the number of vertices minus the minimum vertex cover size.

e) The 2-approximation algorithm for vertex cover implies a 2-approximation algorithm for the max independent set.

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Answer:

$6,567

Step-by-step explanation:

Multiply $43,780 by .15

the abundance expressed as cells per ml would be: 7.70*10^8

Here,

Initial population = 9019

Growth rate = 0.9502 hr-1

Time = 17 hrs

We know that,

Final population = Initial population ( 1 + Growth rate)Time

= 9019 ( 1 + 0.9502 )17

= 9019 ( 1.9502 )17

= 9019 x 85378

= 770,024,182

= 7.70*10^8

A bacteria culture is a test to distinguish whether you have a bacterial disease. It very well may be performed on an example of blood, stool, pee, skin, bodily fluid, or spinal liquid. Utilizing this kind of test, a medical services supplier can distinguish what caused a disease and decide the best therapy.

Exponential growth is an example of information that shows more keen increments after some time.

In finance, compounding makes exponential returns.

Bank accounts with a building financing cost can show exponential growth.

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the complete question is:

7 + 35 2 points A culture of bacteria enters the exponential growth phase with 9,019 cells per ml. The culture has a growth rate constant of 0.9502 hours 1. After 17 hours, what is the abundance expressed as cells per ml? 1 • Report your answer in scientific notation to two decimal places. Remember to include trailing zeros!! o For example: • 42,000,000 would be expressed as 4.20*10^7 42,367,000 would be expressed as 4.24*10^7 2 3 0.54 4 Previous Next 5 6 7 00 8 9 10 11 12

Answer:

$2350

Step-by-step explanation:

CORRECT ANSWER IS :- a. $2350

OPTION a

The direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

To find the maximum rate of change of the function f at the given point (5, 6, -1) and the direction in which it occurs, we can calculate the gradient of f at that point.

The gradient vector represents the direction of maximum increase of the function, and its magnitude represents the rate of change in that direction.

The gradient vector (∇f) of f(x, y, z) = (8x + 5y)/z can be found by taking the partial derivatives with respect to each variable:

∂f/∂x = 8/z

∂f/∂y = 5/z

∂f/∂z = -(8x + 5y)/z^2

Evaluated at the point (5, 6, -1), we have:

∂f/∂x = 8/(-1) = -8

∂f/∂y = 5/(-1) = -5

∂f/∂z = -((8(5) + 5(6))/(-1)^2) = -46

So, the gradient vector (∇f) at the point (5, 6, -1) is (-8, -5, -46).

The maximum rate of change of f at this point is given by the magnitude of the gradient vector:

|∇f| = √((-8)^2 + (-5)^2 + (-46)^2) = √(64 + 25 + 2116) = √2205 = 47.

Therefore, the maximum rate of change of f at the point (5, 6, -1) is 47.

To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:

Direction vector = (∇f) / |∇f| = (-8/47, -5/47, -46/47).

Hence, the direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

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Answer: See picture

Step-by-step explanation:

For this problem, we need to know how to graph the inequality. First, let's establish that we will have a solid line because the inequality is greater than or equal to. If the inequality was only greater than, then it would be a dotted line. For -4/3x-7, you would start at (0,-7) as the y-intercept. Then you would go down by 4 and go to the right by 3 units. Now, we have to do shading. Since we know that y is greater than or equal to, the shading will be on top of the line, where y is greater.

The number of robberies reported in your city is a quantitative variable.

Quantitative variables are numerical in nature and represent quantities or amounts. They can be further classified as either discrete or continuous. In the case of the number of robberies reported, it is a discrete quantitative variable because it takes on a countable, whole number value. It represents a specific quantity or amount of robberies reported in the city, such as 0, 1, 2, and so on.

On the other hand, qualitative variables (also known as categorical variables) represent qualities or characteristics that do not have a numerical value. Examples of qualitative variables could be the type of crime (e.g., robbery, burglary, assault) or the color of a car (e.g., red, blue, green).

Therefore, the number of robberies reported in your city is a quantitative variable.

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Answer:

Step-by-step explanation:

W = 1.5t + 10

slope = 1.5

Every month, the baby gains 1.5 pounds.

Answer: 1024

Step-by-step explanation:

2 x 2 is 4

4 x 2 is 8

8 x 2 is 16

16 x 2 is 32

32 x 2 is 64

64 x 2 is 128

128 x 2 is 256

256 x 2 is 512

512 x 2 is 1024