Please help for both questions

Answer:

87.5%

Step-by-step explanation:

The area of the entire rectangle is 8 by 6,

8x6=48 so the area is 48 units^2.

The area of the triangle is A=1/2bh

A=1/2(2)(6)

A=1(6)

A=6 units^2

6/48=0.125

0.125=12.5%

You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.

100-12.5=87.5

There is an 87.5% chance it will not land in the triangle

Answer:

Just took test its 7/8

Step-by-step explanation:

Step-by-step explanation:

Standard Form is

Ax+by+c=0

So for this question it will be

3x+y=7

Answer:

Each side of the original triangle is 1/2 the length of each side of the scale drawing

Step-by-step explanation:

The scale drawing was created using a factor of 2 ⇒ each side of the original triangle was multiplied by 2 ⇒ the original triangle lengths are half the size of the scale drawing

Answer:

Each side of the original triangle is 2 times the length of each side of the scale drawing.

the pool contains 6,000 liters of water

Answer:

6000

Step-by-step explanation:

There's 0.001 kiloliters in a liter

1kl=1000 liters

This shows that the difference between the eigenvalues of x for vector A and B is related to the commutator [A, B] and the eigenvector of x for matrix B.

To show that if x is an eigenvector of matrix A belonging to an eigenvalue λ, then x is also an eigenvector of matrix B belonging to an eigenvalue μ, we can start with the eigenvector equation for matrix A:

A x = λ x

Multiplying both sides by matrix B, we get:

B (A x) = B (λ x)

Using the associative property of matrix multiplication, we can rewrite the left side as:

(B A) x = (A B) x

Substituting the eigenvector equation for matrix A, we get:

(λ B) x = (A B) x

Since x is nonzero, we can divide both sides by x:

λ B = A B

This shows that if x is an eigenvector of matrix A belonging to eigenvalue λ, then it is also an eigenvector of matrix B belonging to eigenvalue μ = λ.

The matrices A and B are related through the commutator [A, B] = AB - BA. We can rewrite the equation λ B = A B as:

λ B - A B = [A, B] B

Since x is nonzero, we can multiply both sides by x:

λ B x - A B x = [A, B] B x

Using the eigenvector equation for matrix A and the fact that x is an eigenvector of matrix A, we get:

λ x - μ x = [A, B] B x

Simplifying, we get:

(λ - μ) x = [A, B] B x

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Answer:

Since this number is small we know that the exponent will be negative.

In scientific notation the decimal must be between the first two NON zero numbers. So move the decimal and count how many positions it was moved.

1.2 x 10 ^-11

Step-by-step explanation:

The only non-negative integer solutions that satisfy these conditions are x = 1 and y = 1. Hence, each of the workout plans, Plan A and Plan B, lasts for 1 hour.

Let's denote the duration of Plan A as "x" hours and the duration of Plan B as "y" hours. From the given information, we can form two equations: Equation 1: 5x + 3y = 6 (total training hours on Wednesday), Equation 2: 5y + 8y = 7 (total training hours on Thursday). Simplifying Equation 1, we get: 5x + 3y = 6 => y = (6 - 5x)/3. Substituting this value of y into Equation 2, we have: 5((6 - 5x)/3) + 8x = 7

Now we can solve this equation to find the value of x: (30 - 25x)/3 + 8x = 7, 30 - 25x + 24x = 21, x = -9. x = 9. Substituting the value of x back into Equation 1, we can find y: 5(9) + 3y = 6, 45 + 3y = 6, 3y = 6 - 45, 3y = -39, y = -13.

However, since we're dealing with the duration of workout plans, the values of x and y cannot be negative. Therefore, we need to revisit the equations: Equation 1: 5x + 3y = 6. Equation 2: 5y + 8y = 7. From Equation 1, we can deduce that 5x must be less than or equal to 6, and from Equation 2, we can deduce that 5y must be less than or equal to 7. The only non-negative integer solutions that satisfy these conditions are x = 1 and y = 1. Hence, each of the workout plans, Plan A and Plan B, lasts for 1 hour.

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Step-by-step explanation:

Money = Rs 1800

Ratio = 2:3:4

1st Person = 2x

2nd Person = 3x

3rd Person = 4x

X = ?

2x + 3x + 4x = 1800

9x = 1800

X = 200

1st Person = 2x = 2×200 = Rs 400

2nd Person = 3x = 3×200 = Rs 600

3rd Person = 4x = 4×200 = Rs 800

Answer:

5 students.

Step-by-step explanation:

25% is a quarter of the amount, or 1/4. A quarter of 20 is 5, since 4 times 5 is 20. So 5 students have cats.

Millimeters can be converted into centimeters by dividing the value by 10. The solution has been obtained by using the unit conversion.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.

We are required to convert millimeters to centimeters.

We know that 1 centimeter = 10 millimeters

So, for converting millimeters to centimeters, we need to divide the value by 10.

Hence, millimeters can be converted into centimeters by dividing the value by 10.

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The sequence shows the repetition in order to show the length of the sequence.

A sequence simply means an enumerated collection of objects where repetitions are allowed.

Like a set, the sequence also contains members which are called elements or terms. The number of the elements show the sequence length.

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Answer:

-2/3

Step-by-step explanation:

slope formula:

\(\frac{y_{2}-yx_{1} }{x_{2}-x_{1} }\)

Answer:

5 units

Step-by-step explanation:

Area of a triangle = 1/2 * b * h , b= base h=height

17.5 = 1/2 * b * 7

Multiply by 2,

35 = 7b

Divide by 7,

b = 35/7 = 5 units

The given function is h(x) = 3x³ + 2x² + 5 is neither even nor odd.

        \(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)

Given is the function -

h(x) = 3x³ + 2x² + 5

The given function is -

h(x) = 3x³ + 2x² + 5

Now -

h(- x) = 3(- x)³ + 2(- x)² + 5

h(- x) = - 3x³ + 2x² + 5

Now -

h(- x) ≠ h(x)

h(- x) ≠ - h(x)

Therefore, the given function is h(x) = 3x³ + 2x² + 5 is neither even nor odd.

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{Question in english -

The function h(x) = h(x) = 3x³ + 2x² + 5 is even, odd, or neither.}

Answer:

hffhbvcghbvcf given ndi

Answer:

a = 20m

b = 8ft

Step-by-step explanation:

a² = 25² - 15²

a² = 625 - 225

a² = 400

a = 20m

b² = 10² - 6²

b² = 100 - 36

b² = 64

b = 8ft

The Surface area of the largest gift box will be 45.375 square inches.

The surface area of the largest gift box, we need to determine the edge length of the largest box and then calculate its surface area.

Given:

The first box has an edge length of 2.5 inches.

Each larger box has an edge length increasing by ⅛ inch.

To determine the edge length of the largest box, we need to know how many times the edge length increases by ⅛ inch. Since we are making three boxes in total, the edge length increases twice.

Edge length of the largest box = 2.5 inches + 2 * (⅛ inch)

                               = 2.5 inches + 2 * 0.125 inches

                               = 2.5 inches + 0.25 inches

                               = 2.75 inches

Now that we know the edge length of the largest box is 2.75 inches, we can calculate its surface area.

Surface area of a cube = 6 * (edge length)^2

Substituting the edge length:

Surface area of the largest box = 6 * (2.75 inches)^2

                             = 6 * (2.75 inches * 2.75 inches)

                             = 6 * (7.5625 square inches)

                             = 45.375 square inches

Therefore, the surface area of the largest gift box will be 45.375 square inches.

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Answer: (x-2)(x+7)

Step-by-step explanation:

Answer: (x+7)(x-2)

Step-by-step explanation:

\(x^2+5x-14=\\x^2+7x-2x-14=\\x(x+7)-2(x+7)=\\(x+7)(x-2)\)

A trending quantity is a number that is generally increasing or decreasing. When the numbers are steadily decreasing, we have a downward trend, and when the numbers are steadily increasing, we have an upward trend.

On our problem, we have a population growth/decline starting at 2004 until 2009. If we analyze the years individually, it is not perfectly clear if the ternd is downward or upward, however, analyzing the whole table it is possible to see that we have an upward trend. If we compare two distinct points not consecutive of our table, the point closer to 2009 will present a bigger population for most points in our table, which shows a rise on the population value as the years goes by. To see it properly the ideal would be to plot the points and check the slope of the trend line.

Answer:

1. -6/15

2. -405/7

3. -2

3. -3/10

Step-by-step explanation:

learn calculation.

Answer:

5x+2y=1b(x=\(-\frac{2}{5} y+\frac{16}{5}\) and y=\(-\frac{5}{2}x+8\))

x+8y=2n(x=2n-8y and y= \(\frac{1}{4}n-\frac{1}{8}x\))

Answer:

Step-by-step explanation:

Given the coordinates P(-2, -3). Q(2, - 6). R(6. - 3). S(2, 1), to determine the type of shape the quadrilateral is, we need to find the measure of the sides. To get the measure of each sides, we will take the distance between the adjacent coordinates using the formula to formula for calculating the distance between two points as shown;

D = √(x₂-x₁)²-(y₂-y₁)²

For the side PQ with the coordinate P(-2, -3). Q(2, - 6)

PQ = √(2-(-2))²-(-6-(-3))²

PQ = √(2+2)²-(-6+3)²

PQ = √4²-(-3)²

PQ = √16-9

PQ = √7

For the side QR with the coordinate Q(2, - 6) and R(6, -3)

QR = √(6-2))²-(-3-(-6))²

QR = √(4)²-(3)²

QR = √16-9

QR = √7

For the side RS with the coordinate R(6. - 3) and S(2, 1)

RS = √(2-6)²-(1-(-3))²

RS = √(-4)²-(1+3)²

RS = √16-(4)²

RS = √16-16

RS = 0

For the side PS with the coordinate P(-2, -3) and S(2, 1)

PS = √(2-(-2))²-(1-(-3))²

PS = √(4)²-(1+3)²

PS = √16-(4)²

PS = √16-16

PS = 0

For the quadrilateral to be a rectangle, then two of its sides must be equal and parallel to each other. A rectangle is a plane shape that has two of its adjacent sides equal and parallel to each other. Since two of he sides are equal i.e RS = PS and PQ = QR then the quadrilateral PQRS is a rectangle. Both rhombus and square has all of its sides equal thereby making them wrong.

Answer:

12 packs of gum=$3.00

1packs of gum=$3.00/12=$0.25

A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.

To calculate the required sample size, we can use the formula:

n = (\(z^2\) * p * q) /\(e^2\)

where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).

Substituting the values, we get:

n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)

Solving for n, we get:

n ≈ 329

Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.

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The lengths of a and b are 9.4 and 12 respectively using the Pythagorean theorem.

Pythagoras theorem states for a right angled triangle that, the sum of the squares of base and altitude is the square of the hypotenuse.

Given are two right angled triangles.

For the first right angled triangle, we have to find the length of the hypotenuse.

Using Pythagoras theorem,

a² = 8² + 5²

a² = 64 + 25

a² = 89

a = √89 = 9.43398 ≈ 9.4

For the second right angled triangle, we have to find the length of the altitude.

Using Pythagoras theorem,

17² = b² + 12²

b² = 17² - 12²

b² = 145

b = √145 = 12.04159 ≈ 12

Hence the length of and b are 9.4 and 12 respectively.

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Your question is incomplete. Most probably, the complete question with the image of the triangle is given below.

Work out the lengths of sides a and b.

Give your answers to 1 decimal place.

Answer: imaginary axis

Step-by-step explanation:

(-5)₇ / (-5)³ = (-5)⁷⁻³ = (-5)⁴

The Taylor series expansion for the function f(x) = 1/x centered at c = 7 is given by the infinite sum:

f(x) = 1/7 - 1/49(x-7) + 1/343(x-7)² - 1/2401(x-7)³ + ...

And the interval of convergence for this series is (7 - R, 7 + R),

To find the Taylor series for a function, we start by calculating the derivatives of the function at the center point (c) and evaluating them at c. In this case, we have f(x) = 1/x, so let's begin by finding the derivatives:

f(x) = 1/x f'(x) = -1/x² (derivative of 1/x)

f''(x) = 2/x³ (derivative of -1/x²)

f'''(x) = -6/x^4 (derivative of 2/x³)

f''''(x) = 24/x⁵ (derivative of -6/x⁴) ...

We can observe a pattern in the derivatives of f(x). The nth derivative of f(x) can be written as (-1)ⁿ⁺¹ * n! / xⁿ⁺¹, where n! represents the factorial of n.

Now, we can use these derivatives to construct the Taylor series expansion. The general form of the Taylor series for a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x-c) + f''(c)(x-c)²/2! + f'''(c)(x-c)³/3! + ...

In our case, the center point is c = 7. Let's substitute the values into the series:

f(x) = f(7) + f'(7)(x-7) + f''(7)(x-7)²/2! + f'''(7)(x-7)³/3! + ...

To find the coefficients, we need to evaluate the derivatives at c = 7:

f(7) = 1/7 f'(7) = -1/49 f''(7) = 2/343 f'''(7) = -6/2401 ...

Plugging these values into the series, we get:

f(x) = 1/7 - 1/49(x-7) + 2/343(x-7)²/2! - 6/2401(x-7)³/3! + ...

Simplifying further:

f(x) = 1/7 - 1/49(x-7) + 1/343(x-7)² - 1/2401(x-7)³ + ...

Now, let's talk about the interval of convergence for this Taylor series. The interval of convergence refers to the range of values of x for which the Taylor series accurately represents the original function. In this case, the function f(x) = 1/x is not defined at x = 0.

Therefore, the interval of convergence for this Taylor series is (7 - R, 7 + R), where R is the distance from the center point to the nearest singularity (in this case, x = 0).

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