Solve v +8 < 3 or -80 <-40.

The length of square B is 12 cm.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, square A is 3 cm long.

The scale that maps square A onto square B is 1:4.

Let the length of square B be x.

1/4 =3/x

x=4×3

x=12 cm

Therefore, the length of square B is 12 cm.

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(a)The variance of X is given by E(X) = 2 , Var(X) = 2

(b) The variance of Y is 1.25

(c) The expected value of W is  -0.5.

(d) The variance of W is 3.25

(e) The covariance of Z and W is zero

a) The expected value (mean) of X is given by E(X) = A, where A is the parameter of the Poisson distribution. In this case, A = 2. So, E(X) = 2.

The variance of X is given by Var(X) = A, where A is also the parameter of the Poisson distribution. So, Var(X) = 2.

b) Y has a binomial distribution with n = 5 trials and p = 0.5 probability of success.

The expected value of Y is given by E(Y) = n × p, where n is the number of trials and p is the probability of success. So, E(Y) = 5 × 0.5

E(Y) = 2.5.

The variance of Y is given by Var(Y) = n × p × (1 - p), where n is the number of trials and p is the probability of success. So,

Var(Y) = 5 × 0.5 × (1 - 0.5)

Var(Y) = 1.25.

c) W = X - Y. The expected value of W, we use the linearity of expectation:

E(W) = E(X - Y) = E(X) - E(Y)

Substituting the values we calculated earlier, we have:

E(W) = 2 - 2.5

E(W) = -0.5.

d) The variance of W, we use the property that the variance of a sum of independent random variables is the sum of their variances:

Var(W) = Var(X - Y) = Var(X) + Var(Y)

Substituting the values we calculated earlier, we have:

Var(W) = 2 + 1.25

Var(W) = 3.25.

e) Z = X - 2Y. To find the covariance of Z and W, we use the property that the covariance of independent random variables is zero:

Cov(Z, W) = Cov(X - 2Y, X - Y)

Since X and Y are independent, the covariance is zero:

Cov(Z, W) = 0.

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Answer:

Order summands

2

Subtract

5

.

1

5.1

5.1

from both sides of the equation

3

Simplify

4

Divide both sides of the equation by the same term

5

Simplify

Step-by-step explanation:

Answer:

The equations that have infinitely many solutions are;

Explanation:

For an equation to have infinitely many solutions, the left-hand side of the equation and the right side of the equation must be equivalent/equal.

That means that the expression before the equal sign must be equivalent to the expression after the decimal.

such as;

From the given equation, the equations that have their left and right sides equivalent are;

Therefore, the equations that have infinitely many solutions are;

The only possible answer is optionC:  A n U = Ø . This means that there are no common elements between set A and set U.

The set A n U represents the intersection of set A and set U, while the set A U represents the union of set A and set U. Therefore, we need to determine whether the intersection of these two sets is equal to the empty set (Ø), set A, or set U.
If A n U = Ø, then there are no elements that belong to both sets A and U.

This would imply that the two sets are disjoint and have no common elements.

However, we know that A and U are not disjoint since A ≠ Ø and A ≠ U. Therefore, we can eliminate option A from the possible answers.
If A n U = U, then all elements in set A also belong to set U, and there are no elements in set U that do not belong to set A.

This would imply that set A is a subset of set U. However, we know that A ≠ U, so this option can also be eliminated.
Therefore, the only possible answer is option C: A n U = Ø.

This means that there are no common elements between set A and set U. It is important to note that this does not necessarily mean that the two sets are disjoint, as there may be other elements that belong to either A or U, but not both.

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Answer:√40 to be the square root of 40, and can investigate between which two whole numbers it lies. The number 40 lies between 36 and 49 hence √40 lies between 6 and 7.

Answer:

Between 6 and 7

Step-by-step explanation:

40 lies between 36 and 49

find square root of each (6 and 7)

it's b it's b it's b

Step-by-step explanation:

I know I know

Step-by-step explanation:

as a big spoiler : pi is an universal constant. it is the same for every circle, every round object, for circumference, areas, surfaces and volumes.

the formula for a circle circumference :

2×pi×r

the radius is half of the diameter, or the diameter is twice the radius.

so, we have for circle A

pi×9 = 28.26

pi = 28.26/9 = 3.14

and for circle B

pi×5 = 15.7

pi = 15.7/5 = 3.14

the formula for the circle area is

pi×r²

so, for circle A

pi×(9/2)² = 63.585

pi×81/4 = 63.585

pi×81 = 254.34

pi = 254.34/81 = 3.14

for circle B we get

pi×(5/2)² = 19.625

pi×25/4 = 19.625

pi×25 = 78.5

pi = 78.5/25 = 3.14

as mentioned, pi is always the same. it is a natural, universal constant.

Answer:

5600

Step-by-step explanation:

Step-by-step explanation:

\(15 \: ≤ \: \frac{t}{5} \)

\(HOPE \: IT \: HELPS \: YOU\)

The cell phone tower is 94 feet 8 inches tall, since its shadow is 100 feet and Lia's shadow is 3 feet 4 inches.

The cell phone tower must be taller than Lia, since it casts a much longer shadow. We can use the ratio of the shadow lengths to calculate the height of the tower. If Lia's shadow is 3 feet 4 inches, and the tower's shadow is 100 feet, then the ratio of the shadow lengths is 100:3.4. We can use this ratio to calculate the height of the tower. Lia is 4 feet 6 inches tall, which is 54 inches. If the ratio of the shadow lengths is 100:3.4, then the tower must be 100/3.4 times taller than Lia, which is 94 feet 8 inches. Therefore, the cell phone tower is 94 feet 8 inches tall.

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The total bill was 520 pesos when the 4 people share the total bill and pay 130 pesos each.

Given data:

Bill paid by each = 130pesos,

Number of people = 4

We have to translate the problem into an equation. Let's assume that the total bill is x. There are a total of 4 people dividing the restaurant bill, Mike and his three friends. Since each of them paid 130 pesos, we need to multiply 130 by the total number of persons involved, we can write the equation as:

x/4 = 130

x = 4 × 130

x = 520

Therefore, the total bill was 520 pesos.

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Point D is the centroid of ΔABC, since we know that A.F, BC, and CE are all medians.

A median of a triangle is the line segment that connects the vertex of a triangle to the midpoint of the opposite side. There are usually three medians of a triangle.

The point where the three medians of a triangle intersect each other or meet at is referred to as the centroid of the triangle.

The diagram shows a triangle with three medians that meets at point D in the triangle. Therefore, point D is the centroid of the tringle because lines A.F, BC, and CE are all medians of the given triangle.

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Answer: 100

Step-by-step explanation:

x = 2y

50 = 2y

so 50/2 = 25

25 = y

Answer:

multiply 7 by 60,because each hours has 60 munites

Hours minutes per hours. total minutes

(hrs*minutes per hour)

2. 60. 120

3 60. 180

4. 60. 240

7 60. 420

Answer:

16 < 24 < 25

Step-by-step explanation:

√16 = 4

√25 = 5

The slope of the tangent line to the curve at the point (3, 2) is 7/6.

To find the slope of the tangent line to the curve at a point, we need to take the derivative of the curve with respect to x and evaluate it at that point.

We can start by rearranging the equation of the curve to get it in terms of y:

3y² = 2x² + 2xy - 6

Next, we can take the derivative of both sides with respect to x:

6y * dy/dx = 4x + 2y * dx/dx

Simplifying:

dy/dx = (4x + 2y) / (6y)

Now we can evaluate this expression at the point (3, 2):

dy/dx = (4(3) + 2(2)) / (6(2)) = 14/12 = 7/6

Therefore, the slope of the tangent line to the curve at the point (3, 2) is 7/6.

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The result of the matrix equation is not specified in the given problem statement. Instead, we are given some information about a real, symmetric matrix with two distinct eigenvalues and are asked to calculate a certain expression involving this matrix.

For real, symmetric matrices with distinct eigenvalues, it is known that the eigenvectors corresponding to these eigenvalues are orthogonal. This means that if we let v1 and v2 be the eigenvectors corresponding to the two distinct eigenvalues of our matrix A, then v1 and v2 are orthogonal (i.e., their dot product is zero).

To calculate the expression , we need to find the dot product of the two vectors A^(-1)v1 and v2. Using the fact that A is symmetric and has distinct eigenvalues, we can show that A is diagonalizable. That is, there exists an invertible matrix P such that P^(-1)AP = D, where D is a diagonal matrix with the eigenvalues of A on the diagonal. Multiplying both sides of this equation by P^(-1), we get AP^(-1) = P^(-1)DP, which shows that the columns of P^(-1) are the eigenvectors of A. Therefore, we can find v1 and v2 by computing the first and second columns of P^(-1), respectively. Once we have v1 and v2, we can compute A^(-1)v1 and take the dot product with v2 to get our answer.

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Answer:

its d

Step-by-step explanation:

because if 12 times 12 is 34 then add that to 15 and u get 52

3.19,3.51,3.72,3.93

Step-by-step explanation:

3.19=3.2

3.51=3.5

3.72=3.7

3.93=3.9

you take over the number kn the tenth .... if its 1 234 you round down and if its 5 or more you round up... simple

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Answer:

4:7

Step-by-step explanation:

So to find the whole part of this ratio we need to add 3 and 4 which equals 7

Then the part of this ratio is the number of pencils- 4

So the part to whole ratio is 4:7

\(-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5\)

Answer:

Step-by-step explanation:

35(6)x12=224

Answer:

The graph of g(x) is shifted up 2 units.

Answer: 57.8

Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8

Answer:

49.7 \(cm^{2}\)

Step-by-step explanation:

Although it is hidden a bit, we are actually given the circumference of the circle, which is 25 cm.

We know that C = 2πr, so we can substitute variables to find the radius (r).

25 = 2πr

r = 25/(2π)

r = 3.9788... cm

The area of a circle is A = π\(r^{2}\), so:

A = π \(3.9788^{2}\)

A = 49.7359... \(cm^{2}\)

A ≈ 49.7 \(cm^{2}\)

Answer:

Below

Step-by-step explanation:

-2x^2 + 11 is a quadratic equation since the degree is 2.

It's not a linear one since it does not give a straight line after graphing it

Answer: A

Step-by-step explanation:

For this problem, let's think about the properties of the listed expressions.

We can eliminate B. We know that a linear line is a straight line. It doesn't curve at all. A linear line should not have a power such as the one in the problem. The only power it should have is to the power of 1. Therefore, we can eliminate B.

We can eliminate C. A cubic expression has a cubed in it, meaning it is to the power of 3. The given problem is in power 2. Therefore, we can eliminate C.

We can eliminate D. Though you may think this is an exponential expression because the given expression has an exponent, this is not the case. An expoenetial function actually has x as the exponent, not a number. Therefore, we can eliminate D.

Since we have eliminated D, A is the correct answer.

Answer:

x = 49/8, y = -11/2

Step-by-step explanation:

look at the attached picture.

Answer:

the correct answer is b

Step-by-step explanation:

i just took a quiz on ap3x, i hope this helped! have a blessed day! :))

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The correct option is graph B.

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in the form (x, y);

a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.

Given that the function f(x)=x², which represents a parabola, therefore, the function of g(x) can be represented as,

\(g(x)=\dfrac13 f(x)\\\\g(x)=\dfrac13 x^2\)

Now, if we compare the function g(x) with the general equation of a parabola, therefore, the value of 'a' will be 1/3 which means that the function will open wider than f(x).

Thus, the correct option is graph B.

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