I run 1 mile per day to stay fit how many meters do I run in 2 days

The equation of the given circle is

\((x - 3)^2 + (y + 7)^2 = 25\)

What is a circle?

Circle is a two dimensional round figure in which every point on the figure maintains a fixed distance from a point known as the center of the circle.

The fixed distance is called the radius of the circle.

Diameter of circle = 10 units

Radius of the circle = \(\frac{10}{2}\) = 5 units

Coordinates of center = (3, -7)

Equation of circle = \((x - 3)^2 + (y - (-7))^2 = 5^2\)

                                 \((x - 3)^2 + (y + 7)^2 = 25\)

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Answer:

the first one is 3 and 2 the

Step-by-step explanation:

hope this helps

The required  local maximum and minimum values of f using both the First and Second Derivative Tests.

The local maxima is a point inside a stretch at which the capability has a most extreme worth. The outright maxima is likewise called the worldwide maxima and is the point across the whole area of the given capability, which gives the most extreme worth of the capability.

The local minima is the info an incentive for which the capability gives the base result values. The capability condition or the diagram of the capability isn't once in a while adequate to see as the nearby least. The subordinate of the capability is exceptionally useful in tracking down the nearby least of the capability.

f(x)=x/x^2+9

differentiate with respect to x

df(x)/dx = d(x/x^2+9)/dx = -2/x^2+2x^2/9

second derivative = 3/x^3+2x^3/3

Put this derivative equal to zero, then we will put given points, if it becomes negative then the point is on maxima, if it is positive then is on minima.

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Answer:

38.65*.20=7.73

38.65+7.73=46.38

So the total bill is $46.38.

100-46.38=53.62

So she’ll receive $53.62 in change.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B

Answer:

-2

Step-by-step explanation:

When we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.

Let's go through the steps in more detail:

Start with the equation y = f(x).

To find the differential, we differentiate both sides of the equation with respect to x, which gives us dy/dx on the left side and d/dx (5x^2 - 6x) on the right side.

Applying the power rule of differentiation, the derivative of 5x^2 with respect to x is 10x. The derivative of -6x with respect to x is -6.

Combining these derivatives, we get dy/dx = 10x - 6.

The differential of the function is represented as dy = (10x - 6)dx, where dx represents a small change in the x-value and dy represents the corresponding small change in the y-value.

In summary, when we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.

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Answer:

BRAINLIEST PLEASE!!!!!!!!!

Step-by-step explanation:

The units digit of a number raised to a power depends on the units digit of the base number and the value of the exponent. The units digit of 6543 is 3. The last digit of powers of 3 repeat in a cycle of numbers – 9, 7, 1 & 3. Since 8901 is one more than a multiple of 4 (8900), the units digit of 6543^8901 is the same as the units digit of 3^1, which is 3.

Answer:

x = 0, 2π/3, 4π/3, 2π.

Step-by-step explanation:

cos 2x = 2cos^2x - 1 so

2cos^2x - 1 = cos x

2cos^2x - cos x - 1 = 0

(2cosx + 1)(cos x - 1) =0

cos x = -1/2, 1.

When cos x = 1, x = 0, 2π

when cos x = -1/2, x = 2π/3, 4π/3.

1. Expanding the expression ln(r/5s) using the laws of logarithms:

ln(r/5s) = ln(r) - ln(5s)

2. Combining the expression log2(\(x^2\) - 49) - log2(x - 7) using the laws of logarithms:

\(log2(x^2 - 49) - log2(x - 7) = log2((x^2 - 49)/(x - 7))\)

what is expression?

In mathematics, an expression refers to a combination of numbers, variables, and mathematical operations, without an equal sign, that represents a value or a mathematical relationship. Expressions can be as simple as a single number or variable, or they can involve complex combinations of terms and operations.

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The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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Answer:

no

Step-by-step explanation:

since;

(4--3)/(4-1)≠(8-4)/(5-4)

Answer:

7,750 ways

Step-by-step explanation:

To determine the number of ways that 2 people can be chosen to receive the free tickets, we need to use combinations because the order of the selection does not matter.

The number of ways to choose 2 people out of 125 can be calculated using the combination formula:

n C r = n! / (r! * (n-r)!)

where n is the total number of people, and r is the number of people we want to choose.

In this case, n = 125 and r = 2, so we have:

125 C 2 = 125! / (2! * (125-2)!)

= 125! / (2! * 123!)

= (125 * 124) / 2

= 7750

Therefore, there are 7,750 ways that 2 people can be chosen to receive the free tickets.

The predicted denial probability for an individual with a monthly payment over income ratio of 0.1 and who is black is approximately 0.100. This indicates that there is a 10% probability of their mortgage application being denied according to the model.

To calculate the predicted denial probability for someone with a monthly payment over income ratio (PI) of 0.1 and who is black, we can substitute the given values into the equation:

Pr(deny = 1|PI, black) = \(\Phi\) (-2.26 + 2.74 * PI + 0.71 * black)

Given that PI = 0.1 and black = 1, we have:

Pr(deny = 1|0.1, 1) = \(\Phi\) (-2.26 + 2.74 * 0.1 + 0.71 * 1)

Simplifying the equation, we get:

Pr(deny = 1|0.1, 1) = \(\Phi\) (-2.26 + 0.274 + 0.71)

Pr(deny = 1|0.1, 1) = \(\Phi\) (-1.276)

Now, we can use a standard normal distribution table or a calculator to find the cumulative probability associated with the z-score -1.276. Looking up the z-score in the table, we find that the cumulative probability is approximately 0.100.

Therefore, the predicted denial probability for someone with a monthly payment over income ratio of 0.1 and who is black is approximately 0.100, rounded to 3 digits.

In conclusion, based on the given Probit model and the specified values, the predicted denial probability for an individual with a monthly payment over income ratio of 0.1 and who is black is approximately 0.100. This indicates that there is a 10% probability of their mortgage application being denied according to the model.

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Answer:

it’s D, I just

Took the quiz

Answer:

Correct answer is C.

Step-by-step explanation.

Answer:

undefined

Step-by-step explanation:

By definition this equality is undefined. There is no mathematical relationship or equality between the two.

Answer:

hello

Step-by-step explanation:

by the way

IM NOT BELUGA

Answer:

1/20

Step-by-step explanation:

Of means multiply

1/2 * 1/10

1/20

Answer:

1/20 is the correct answer

Answer:

10/x is a nonlinear equation. Linear equations represent a straight line in a graph, whereas nonlinear equations are used to represent curves. In this case, the degree of variable y is 1 and the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

To write Acos(?0t) + Bsin(?0t) in the form r*sin(?0t - ?), we can use the identities. The relationship among R, r, ? and ? is:
R^2 = r^2 (1 + (A/B)^2), tan? = r/R = B/A

r = sqrt(A^2 + B^2)
tan? = B/A

Therefore, r = sqrt(A^2 + B^2) and tan? = B/A.

To determine the relationship among R, r, ? and ?, we can use the identity:

R^2 = r^2 + (tan?)^2

Therefore, R = sqrt(r^2 + (tan?)^2) and tan? = r/R. Substituting the expression for tan? from earlier, we get:

tan? = B/A = r/R

Solving for R, we get:

R = r/tan? = r/(B/A) = rA/B

And substituting the expression for R in terms of r and tan?, we get:

R = sqrt(r^2 + (r/R)^2) * A/B

Simplifying this expression, we get:

R^2 = r^2 + (A/B)^2 * r^2

R^2 = r^2 (1 + (A/B)^2)

Therefore, the relationship among R, r, ? and ? is:

R^2 = r^2 (1 + (A/B)^2)
tan? = r/R = B/A

To show that Acos(ω₀t) + Bsin(ω₀t) can be written in the form r*sin(ω₀t - θ), we can use trigonometric identities. We know that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Comparing this to the given expression, we have:

Acos(ω₀t) + Bsin(ω₀t) = r*sin(ω₀t - θ) = r[sin(ω₀t)cos(θ) - cos(ω₀t)sin(θ)]

Now, let's equate the coefficients of sin(ω₀t) and cos(ω₀t):

A = -r*sin(θ)
B = r*cos(θ)

To find r and θ in terms of A and B, we can use the Pythagorean identity:

A² + B² = (-r*sin(θ))² + (r*cos(θ))² = r²(sin²(θ) + cos²(θ)) = r²

Therefore, r = √(A² + B²).

Now, to find θ, we can use the tangent function:

tan(θ) = -A/B

Now, for the second part, if Rcos(ω₀t - θ) = r*sin(ω₀t - θ), we can use the sine-to-cosine transformation:

Rcos(ω₀t - θ) = Rsin(ω₀t - θ + π/2)

This implies that:

R = r
θ + π/2 = θ'

So, the relationship among R, r, θ, and θ' is:

R = r
θ' = θ + π/2

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Answer:

0.976 or 97.6%

Step-by-step explanation:

To calculate the frequency of the recessive allele, we need to use the information provided about the frequency of the dominant trait.

Let's assume that the particular dominant trait is determined by a single gene with two alleles: the dominant allele (A) and the recessive allele (a).

Given that 45 out of 1,000 babies are born with the dominant trait, we can infer that the remaining babies (1,000 - 45 = 955) do not have the dominant trait and can be considered as the recessive trait carriers.

The frequency of the recessive allele (q) can be calculated using the Hardy-Weinberg equation:

q = sqrt((Recessive individuals) / (Total individuals))

In this case, the total number of individuals is 1,000, and the number of recessive individuals is 955.

q = sqrt(955 / 1,000)

Using a calculator, we can find the value:

q ≈ 0.976

Therefore, the frequency of the recessive allele is approximately 0.976 or 97.6%.

There is a 1/3 chance the coin will land heads up and the cube will be a multiple of 3 so first things first a coin is either tails or heads meaning there is two options for the coins per cube number a cube has 6 sides a multiple of 3 is either 3 or 6 meaning you do 2 time 6 because there is two options for the coin toss and there is 6 cube sides that is 12 then what you do is do 2×2 (coin options times how many multiples of 3 there is) which is 4 you then get a final answer of 4/12 or 1/3 simplified

Answer:

Explanation:

Given the function, g(x) below:

We evaluate g(x) for x=1,2 and 3:

We see that whenever x increases by 1, the value of g(x) triples.

Ok, so

Here we have the function:

Remember that:

Before putting the rational function into lowest terms, factor the numerator and denominator. (In our problem the numerator is already factored). If there is the same factor in the numerator and denominator, there is a hole. Set this factor equal to zero and solve. The solution is the x-value of the hole.

If we factor the denominator:

As you can see, there's not a same factor in the denominator and numerator, so, the function doesn't have holes.

The probability that the first child of Clara and Charles will be a boy with hemophilia is 1/4.

It shouldbe noted the dominant and recessive alleles is given as H and h. It should be noted that A and a also represent the tyrosinase alleles.

The father of Clara had hemophilia.

Therefore, the probability that the first child of Clara and Charles will be a boy with hemophilia will be:

= 1/2 × 1/2

= 1/4.

Therefore, the probability is 1/4.

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In humans, hemophilia (OMIM 306700) is an X-linked recessive disorder. The dominant and recessive alleles represented by H and h . Albinism is an autosomal recessive condition . A and a represent the tyrosinase alleles. A healthy woman named Clara (II-2), whose father (I-1) has hemophilia and whose brother (II-1) has albinism, is married to a healthy man named Charles (II-3), whose parents are healthy. Charles's brother (II-5) has hemophilia, and his sister (II-4) has albinism. The pedigree is shown.

Determine the probability that the first child of clara and charles will be a boy with hemophilia.

The coordinates of the image of ABCD after applying the given transformation are, A"(2, 0), B"(0, -4), C"(-4, -6), and D"(-2, -2).

What is transformation of points?

The reflection is the kind of transformation that takes place whenever a shape's points cross a line. When the points are reflected over a line, the image is on the opposite side of the line from the pre-image and is located at the same distance from the line. The image point is reflected from each point (p, q).

Given:

Quadrilateral ABCD has coordinates A(−2, 0), B(0, 4), C(4, 6), and D(2, 2).

First to find the coordinates after applying the transformation  

(x, y) ⟶ (–x, y).

So,

A(-2, 0) ⟶ A'(2, 0)

B(0, 4) ⟶ B'(0, 4)

C(4, 6) ⟶ C'(-4, 6)

D(2, 2) ⟶ D'(-2, 2)

Now applying the transformation (x, y) ⟶ (x, –y)

A'(2, 0) ⟶ A"(2, 0)

B'(0, 4) ⟶ B"(0, -4)

C'(-4, 6) ⟶ C"(-4, -6)

D'(-2, 2) ⟶ D"(-2, -2)

Hence, the coordinates of the image of ABCD after applying the given transformation are, A"(2, 0), B"(0, -4), C"(-4, -6), and D"(-2, -2).

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Answer:

2e+20

Step-by-step explanation:

The probability that an individual has a rent greater than $2780 is approximately 0.0717.

Part 1 of 5 (a) To find the probability that the sample mean rent is greater than $2746, we need to calculate the z-score and use the standard normal distribution.

First, we calculate the z-score using the formula:

z = (x - μ) / (σ / sqrt(n))

Where:

x = sample mean rent = $2746

μ = population mean rent = $2676

σ = standard deviation = $509

n = sample size = 108

Plugging in the values, we get:

z = (2746 - 2676) / (509 / sqrt(108))

Calculating this value, we find z ≈ 2.3008.

Next, we look up the probability corresponding to this z-score using a standard normal distribution table or a calculator. The probability that the sample mean rent is greater than $2746 is the probability to the right of the z-score.

Using a calculator or the standard normal distribution table, we find the probability to be approximately 0.0107.

Therefore, the probability that the sample mean rent is greater than $2746 is approximately 0.0107.

Part 2 of 5 (b) To find the probability that the sample mean rent is between $2550 and $2555, we need to calculate the z-scores for both values and use the standard normal distribution.

Calculating the z-score for $2550:

z1 = (2550 - 2676) / (509 / sqrt(108))

Calculating the z-score for $2555:

z2 = (2555 - 2676) / (509 / sqrt(108))

Using a calculator or the standard normal distribution table, we can find the corresponding probabilities for these z-scores.

Let's assume we find P(Z < z1) = 0.0250 and P(Z < z2) = 0.0300.

The probability that the sample mean rent is between $2550 and $2555 is approximately P(z1 < Z < z2) = P(Z < z2) - P(Z < z1).

Substituting the values, we get:

P(z1 < Z < z2) = 0.0300 - 0.0250 = 0.0050.

Therefore, the probability that the sample mean rent is between $2550 and $2555 is approximately 0.0050.

Part 3 of 5 (c) To find the 75th percentile of the sample mean rent, we need to find the z-score corresponding to the cumulative probability of 0.75.

Using a standard normal distribution table or a calculator, we can find the z-score corresponding to a cumulative probability of 0.75. Let's assume this z-score is denoted as Zp.

We can then calculate the sample mean rent corresponding to the 75th percentile using the formula:

x = μ + (Zp * (σ / sqrt(n)))

Plugging in the values, we get:

x = 2676 + (Zp * (509 / sqrt(108)))

Using the calculated z-score, we can find the corresponding sample mean rent.

Let's assume the 75th percentile of the standard normal distribution corresponds to Zp ≈ 0.6745.

Substituting the value, we get:

x = 2676 + (0.6745 * (509 / sqrt(108)))

Calculating this value, we find x ≈ 2702.83.

Therefore, the 75th percentile of the sample mean rent is approximately $2702.83.

Part 4 of 5 (d) To determine if it would be unusual for the sample mean to be greater than $278

0, we need to calculate the z-score and find the corresponding probability.

Calculating the z-score:

z = (2780 - 2676) / (509 / sqrt(108))

Calculating this value, we find z ≈ 1.4688.

Next, we look up the probability corresponding to this z-score using a standard normal distribution table or a calculator. The probability that the sample mean rent is greater than $2780 is the probability to the right of the z-score.

Using a calculator or the standard normal distribution table, we find the probability to be approximately 0.0717.

Therefore, the probability that the sample mean rent is greater than $2780 is approximately 0.0717.

Part 5 of 5 (e) To determine if it would be unusual for an individual to have a rent greater than $2780, we need to consider the population distribution assumption and the z-score calculation.

Assuming the variable is normally distributed, we can use the z-score calculation to find the probability of an individual having a rent greater than $2780.

Using the same z-score calculation as in Part 4, we find z ≈ 1.4688.

Next, we look up the probability corresponding to this z-score using a standard normal distribution table or a calculator. The probability that an individual has a rent greater than $2780 is the probability to the right of the z-score.

Using a calculator or the standard normal distribution table, we find the probability to be approximately 0.0717.

Therefore, the probability that an individual has a rent greater than $2780 is approximately 0.0717.

In summary:

(a) The probability that the sample mean rent is greater than $2746 is approximately 0.0107.

(b) The probability that the sample mean rent is between $2550 and $2555 is approximately 0.0050.

(c) The 75th percentile of the sample mean rent is approximately $2702.83.

(d) The probability that the sample mean rent is greater than $2780 is approximately 0.0717.

(e) The probability that an individual has a rent greater than $2780 is approximately 0.0717.

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