HELP
What is the measure of an exterior angle of a regular 45-gon?

4 - 5|6 - 3(8 - 2)|

4 - 5|6 - 3 × 6|

4 - 5|6 - 18|

4 - 5|-12|

4 - 5 × 12

4 - 60

-56

Greetings!!

Answer:

if im corect the anwser is 3.14 (Side note) this is the wrong question i was anwsering to

Answer:

h = 3, k = 64

Step-by-step explanation:

Given

\(log_{2}\) y = - \(\frac{1}{2}\) \(log_{2}\) x + 3

In the form

y = mx + c ( m is the slope and c the y- intercept )

Then

h = 3

On the \(log_{2}\) axis \(log_{2}\) y = 0 then

0 = - \(\frac{1}{2}\) \(log_{2}\) k + 3 ( subtract 3 from both sides )

- 3 = - \(\frac{1}{2}\) \(log_{2}\) k ( divide both sides by - \(\frac{1}{2}\) )

6 = \(log_{2}\) k , then

k = \(2^{6}\) = 64

The probability of getting two tails is 2 times.

P(head) = 1/2

P(tail) = 1/2

Probability of getting two tails = 1/2 × 1/2 = 0.25

Expected value:

= 8 × 0.25

= 2

The probability of getting two tails is 2 times.

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Answer:

946589196.155

Step-by-step explanation:

Hope that helps

Answer:

a. (x² + y²)² = (x² - y²)² + (2xy)²

b. The conjecture works in all cases.

c. Sides of 119, 120, and 169

Step-by-step explanation:

a. Equation that models this conjecture

x² + y² = sum of squares

x² - y² = difference of square

  2xy = twice the product of the integers

If these are the sides of a right triangle then

(x² + y²)² = (x² - y²)² + (2xy)²

b. Test the conjecture

(i) Try x = 2, y = 1

(2² + 1²)² = (2² - 1²)² + (2×2×1)²

       5² = 3² + 4²

      25 = 9 + 16

(ii) Try x = 3, y = 1

(3² + 1²)² = (3² - 1²)² + (2×3×1)²

      10² = 8² + 6²

    100 = 64 + 36

(iii) Try x = 3, y = 2

(3² + 2²)² = (3² - 2²)² + (2×3×2)²

       13² = 5² + 12²

     169 = 25 + 144

The conjecture appears to work in all cases.

c. A possible triangle

We must have one side greater than 100. That means,  

x² > 100 or x >1 0.

                                      Let x = 12

                               One side = 12² + y²

                  The second side = 12² - y²

The third side must have 2xy > 100

                                        24y > 100

                                            y > 4.2

                                      Try y = 5

                              (12² + 5²)² = (12² - 5²)² + (2 × 12 × 5)²

                                       169² = 119² + 120²

So, one right triangle could have sides of 119, 120, and 169.

Furthermore, these sides have no common factors.

Check:

 169² = 119² + 120²

28561 = 14161 + 14400

28561 = 28561

Answer:

200 servings.

Step-by-step explanation:

Divide number of bags by how much of a bag a serving is.

25/1/8

Multiply original number by reciprocal of what you are trying to divide it by. (This makes dividing fractions easier)

25*8/1=200

There are 200 servings of cat food.

Answer:

200

Step-by-step explanation:

i took the test hope this helps

Answer:

34 X 20.39 = 693.26

693.26 X 52 = 36049.52

100-29.51 = 70.49

36049.52/100 X 70.49 = 25411.306648

monetary value rounded 2dp = $25411.31

answer is D

Answer:

option 3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

4(x+2)

4(x)+4(2)

4x+8

-hope it helps

Answer:

x = 72

Step-by-step explanation:

These angles are complementary so they add up to 90:

x + 18 = 90

x = 90 - 18

x = 72

Answer:

f(−1) = ✔ 2

f(1) = ✔ 6

f(2) = ✔ 11

Step-by-step explanation:

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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the width of the new phone, based on the assumption of proportional side lengths, is approximately 4 inches.

Let's denote the length of the old phone as L1 (1.8 inches) and the width as W1 (3.8 inches). The length of the new phone is denoted as L2 (1.9 inches), and we need to find the width, denoted as W2.

According to the given information, the side lengths of the new phone are proportional to the old phone. Therefore, we can set up the following proportion:

L1 / W1 = L2 / W2

Substituting the given values, we have:

1.8 / 3.8 = 1.9 / W2

To find W2, we can cross-multiply and solve the equation:

1.8 * W2 = 3.8 * 1.9

W2 = (3.8 * 1.9) / 1.8

W2 ≈ 4 inches

Therefore, the width of the new phone, based on the assumption of proportional side lengths, is approximately 4 inches.

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Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

The degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001 is 6.

To determine the degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001, we can use Taylor's inequality:

|f(x) - P_n(x)| ≤ M * |x - a|^(n+1) / (n+1)!

where P_n(x) is the nth degree Maclaurin polynomial of f(x), M is an upper bound for the (n+1)th derivative of f(x) on the interval [0, 0.12], and a = 0.

Since we do not have the function f(x), we can't find the value of M directly. However, we can use the Lagrange error bound formula to find an upper bound for the error in the approximation using the Maclaurin polynomial.

If we assume that the function f(x) has derivatives of all orders on the interval [0, 0.12], we can use the Lagrange error bound formula:

|R_n(x)| ≤ (M * |x - a|^(n+1)) / (n+1)!

where R_n(x) is the remainder term, which is the difference between the actual value of f(x) and the value approximated by the nth degree Maclaurin polynomial, and M is an upper bound for the (n+1)th derivative of f(x) on [0, 0.12].

Assuming that f(x) is the exponential function, we have f^(n)(x) = e^x for all n, and hence M = e^0.12.

To find the degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001, we need to solve the following inequality for n:

(e^0.12 * 0.12^(n+1)) / ((n+1)!) ≤ 0.0001

We can solve this inequality numerically, using a calculator or a computer algebra system. Solving this inequality, we get n ≥ 6. Therefore, the degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001 is 6.

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The equation of a line can be written as:

y = mx + b

Where m is the slope and b is the y-intercept.

For the word problem, the slope is -10 and the intercept is 50, thus the equation is:

y = -10x + 50

If x is the number of weeks, then y decreases by 10 when x increases by 1. We expect that the value of y goes from 50 down to 40, 30, 20, etc.

The example of the friend is that he started with

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line is y = x + 5

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line y = mx + c

Now,

The equation of the line passes through the points:

(-2, 3) and (2, 7).

This means,

(-2, 3) = (a, b)

(2, 7) = (c, d)

The slope is given as:

Slope:

= (d - b) / (c - a)

= (7 - 3) / (2 + 2)

= 4 / 4

= 1

Now,

The line passes through point (-2, 3) = (x, y) so,

3 = (-2) x 1 + c

3 = -2 + c

c = 3 + 2

c = 5

Now,

m = 1

c = 5

The equation of the line is y = x + 5

Thus,

The equation of the line is y = x + 5

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To bring the 2,000 kg wagon to rest, the buffer stop needs enough springs to absorb its kinetic energy. The number of springs and their stiffness can be calculated using given parameters and formulas.



To calculate the number of springs required in the buffer stop, we need to find the energy of motion that needs to be absorbed. The kinetic energy (KE) of the wagon is given by KE = (1/2)mv^2, where m is the mass (2,000 kg) and v is the velocity (0.69 m/s). The KE is 477.9 J.Next, we calculate the potential energy stored in the compressed springs. The compression distance is 15 cm, which is 0.15 m. The potential energy (PE) stored in each spring is given by PE = (1/2)kx^2, where k is the stiffness of the spring and x is the compression distance.

The total energy absorbed by all the springs is equal to the kinetic energy of the wagon. Therefore, the number of springs required is given by N = KE / PE, where N is the number of springs.To determine the stiffness of the spring, we use the formula k = (Gd^4) / (8nD^3), where G is the shear modulus (0.8 x 10^5 N/mm^2), d is the wire diameter (2 cm), n is the number of coils (15), and D is the mean diameter of the coils (20 cm).

By substituting the values into the equations, we can find the number of springs and the stiffness of each spring.

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The article red was titled "sense of emotion of dog and cat to humans"

To visualize the differences in feeling between Dogs and cats towards people, I would think of a dog swaying its tail and hopping up with fervor upon seeing its owner, whereas a cat may approach its owner more calmly and gradually with a loose tail.

I might picture the puppy gasping and looking for physical fondness, whereas the cat may lean toward to be petted or rubbed under the chin.

Dogs show enthusiasm and affection towards owners, while cats exhibit different behaviors. Dogs show excitement through body language like wagging tails, jumping, seeking affection, and vocalizing.

Pets express joy and eagerness to be around humans, with cats being more reserved towards humans. Although affectionate, cats express emotions subtly such as calm body posture and soft chirping.

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Answer:

ans D

Step-by-step explanation:

area of rectangle is

l*b

(x+4)(x-2)

x^2-2x+4x-8

x^2+2x-8

Answer:

7

Step-by-step explanation:

GCF of 14 and 21 is 7

Answer: (6, 3)

(1, 1) —> (6, 3)

1 + 5 = 6 so x is 6

1 + 2 = 3 so y is 3

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Yes, I can help them determine how they did within their respective groups. A higher Z-score indicates a faster time compared to the average for their group, while a lower Z-score indicates a slower time.

To do this, we will calculate the standard score or Z-score for each of them, which measures how many standard deviations above or below the mean their finishing time was. Calculation is as follows:

For Leo:

Z = (4948 - 4313) / 583 = 1.01

For Mary:

Z = (5513 - 5261) / 807 = 0.33

So, Leo finished 1.01 standard deviations above the mean for the Men, Ages 30 - 34 group, while Mary finished 0.33 standard deviations below the mean for the Women, Ages 25 - 29 group.

As for your second question, if the distributions of finishing times were not nearly normal, then the values of the standard score would change. This is because the standard score is calculated using the mean and standard deviation, which are important parameters of a normal distribution, these parameters may not accurately represent the data, and therefore the standard score would not be an accurate measure of relative performance.

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