Consider a circle whose equation is x2 + y2 -2x -8 =0. Which statements are true? Select three options

Answer:

No

Step-by-step explanation:

2.20 and 2.2 are the same

but 2.02 is not the same as the others

After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.

The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted  measurement regarding the distance around the outside of a two-dimensional shape. In this system  the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m

The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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Answer:

if you make 413 dollars a second, in 30 minutes you would make 743,400 dollars.

Step-by-step explanation:

If you make 413 dollars a second, in 30 minutes you would make:

30 minutes = 30 x 60 = 1800 seconds

So, the amount of money you would make in 30 minutes can be calculated as follows:

1800 seconds x 413 dollars/second = 743,400 dollars

Answer: Obtuse triangle? The line marked with O and E is more than 90 degrees

Step-by-step explanation:

Answer: The expression showing the total number of gel pens ="8g"

Step-by-step explanation:

Number of bags with Zoe= 8

Number of gel pens with Zoe=g

According to the question, Zoe puts g gel pens in  each one of the 8 bags, which means that the total number of gel pens would be the sum of all pens present in all the 8 bags .

=(no of pens in one bag)x(no of bags)

=gx8

=8g

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The monthly cost for 56 minutes of calls is given as follows:

$18.05.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

For 38 minutes of call, the price increases by $4.94, hence the slope of the linear function, representing the cost per minute, is given as follows:

m = 4.94/38

m = 0.13.

56 minutes is 30 minutes less than 86 minutes, hence the cost is given as follows:

C(56) = 21.95 - 30 x 0.13

C(56) = $18.05.

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1. The best equation for circle A is (x + 4)² + (y + 2)² = 9. Option D

2. The equation of the circle with coordinates (1, 1) (1, 11) is (x - 1)² + (y - 6)² = 25. Option A

1. For the equation of circle A, we can pick out the coordinates we see.

Circle A has its midpoint at (-4, -2) and its edges at (-4, 1) and (-4, -5).

The equation of a circle in a plane is (x - h)² + (y - k)² = r²

the circle has a radius of 3 units (from -2 to 1 or from -2 to -5)

(x - (-4))² + (y - (-2))² = 3²

when we simplify, it becomes (x + 4)² + (y + 2)² = 9

2. The equation of a circle with diameter AB. A (1, 1), B(1, 11) is

h = (x₁ + x₂)/2 ⇒(1 + 1)/2 = 1

k = (y₁ + y₂)/2⇒ (1 + 11)/2 = 6

the center of the circle is at (1, 6).

A and B which are (1, 1) and (1, 11), it's clear that the diameter is 10 units (11 - 1). Thus, the radius is 5 units.

(x - h)² + (y - k)² = r²

Substituting the obtained values we get

(x - 1)² + (y - 6)² = 5²

which becomes

(x - 1)² + (y - 6)² = 25

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Answer:

10

Step-by-step explanation:

2 / 10 = 0.2

2 divided by ten is two-tenths.

Answer: 2 divided by 10 is 0.2

The compound interest is solved and answer to part b) is not double the answer to part a) because the interest is compounded monthly, not annually.

Given data ,

To calculate how much was in Tristan's account at the end of one year, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the amount at the end of the time period, P is the principal (the initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $750, r = 0.0325, n = 12 (since the interest is compounded monthly), and t = 1. Plugging in these values, we get:

A = $750(1 + 0.0325/12)⁽¹²ˣ¹⁾ = $8,086.43

Therefore, there was $8,086.43 in Tristan's account at the end of one year.

b)

To calculate how much was in Tristan's account at the end of two years,

t = 2,

A = $750(1 + 0.0325/12)⁽¹²ˣ²⁾ = $16,575.29

Hence , there was $16,575.29 in Tristan's account at the end of two years

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Answer: (the 2s I added are for square 2)

5sq(5g2s2 - 16qs + 9)

Step-by-step explanation:

The tax deduction is explained below.

We need to take into account a few things in order to establish how much, if any, of the $1,000,000 loss Ethan may deduct in the current year.

We need to know Ethan's basis in his ELS shares, or shareholder basis. Shareholder basis, which is changed yearly based on numerous criteria such as income, losses, donations, and payouts, symbolizes the investment a shareholder has in the S corporation.

Ethan might be entitled to deduct the loss up to the amount of his basis if his basis is positive.

We must assess if Ethan is covered by the at-risk regulations. The shareholder's amount at risk in the S corporation is the only amount that can be deducted for losses under the at-risk regulations.

If Ethan is subject to these rules, his loss deduction could be limited based on his at-risk amount.

A few tax provisions were temporarily changed as a result of the CARES Act. The CARES Act specifically altered the exclusions for business losses for non-corporate taxpayers, including individual S company shareholders. Ethan might not be able to deduct the $1,000,000 loss because of restrictions on company losses that existed prior to the CARES Act.

The excess business loss limitation for non-corporate taxpayers was temporarily suspended under the CARES Act.

This meant that Ethan and other individual shareholders could write off business losses without being constrained by the prior cap of $250,000 ($500,000 for married taxpayers filing jointly).

Therefore, regardless of any restrictions that could have existed before to the passage of the CARES Act, Ethan would be permitted to deduct the entire $1,000,000 loss in the current year if the CARES Act is applicable.

Taxpayers were temporarily helped by being able to deduct losses from other income. It's crucial to remember that the CARES Act was passed in reaction to the COVID-19 outbreak and that some of its requirements could not be in force at the moment.

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Answer:

The answer is -4.4.

Step-by-step explanation:

First, you have to add -12 + -10 + -6 and it equals -28. Next add the positive numbers 4+ 2 equals 6. Then, put them altogether meaning -28 + 6 equals -22, then divide it by the number of players which is 5 then you get the answer of -4.4.

Have a nice day.

The remaining credit after 91 minutes of calls is $16.76.

We are given that;

(24, 22.12) and (63, 17.44)

Now,

To find the slope and the y-intercept of the function. You can write your solution as:

Slope = (y2 - y1) / (x2 - x1) = (17.44 - 22.12) / (63 - 24) = -0.08 y-intercept = y - mx = 22.12 - (-0.08)(24) = 24.04 Equation: y = -0.08x + 24.04

To find the remaining credit after 91 minutes of calls, you need to substitute x = 91 in the equation and simplify. You can write your answer as:

y = -0.08(91) + 24.04 y = -7.28 + 24.04 y = 16.76

Therefore, by the intercept the answer will be $16.76.

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Answer:

Line 2

Step-by-step explanation:

In the second line, 4 is taken as 4x and added with 6x resulting in 10x.

The line 2 should be written as follows:

6x - 5 = 6x - 5

6x - 6x = 5 - 5

0 = 0

The value of p when q is equal to 2 is 108

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means as x increases y reduces and vice versa.

If p is inversely proportional to q, then

p = k/q

p = 18 and q = 12

18 = k/12

k = 18 × 12 = 216

When q =2

p = 216/2

p = 108

therefore the value of p is 108

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The probability that exactly three of their seven children will have the given trait is 0.073.

To solve this problem, we can use the binomial probability formula. The probability of exactly k successes in n trials, where the probability of success is p, is given by:

P(X = k) = C(n, k) . [tex]p^k[/tex] . (1 - [tex]p)^(n - k)[/tex]

In this case, the probability of a child having the trait is p = 3/4, and we want to find the probability of exactly 3 children having the trait out of 7 children, so k = 3 and n = 7.

Using the formula:

P(3) = 7! / 4! 3! x (3/4)³ x (1-3/4)⁴

P(3) = 35 x 27/64 x 1/256

P(3) ≈ 0.073

Therefore, the probability that exactly three of their seven children will have the given trait is 0.073.

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1. Statement 1 is false because the + sign in logarithm laws stands for multiplication

2. The value of x is not a solution

3. In logarithmic form we can write; log10 0.0001 = -4

A set of guidelines called the laws of logarithms governs how to work with and simplify logarithmic expressions. These principles are useful for performing numerous mathematical operations involving logarithms as well as for solving logarithmic equations and simplifying complex logarithmic statements.

1. log3(a + b) ought to be the same as log3(a * b)

2. We have that;

[tex]3^{2x - 5} = 27[/tex]

Writing in the same base;

[tex]3^{2x - 5 } = 3^3[/tex]

2x - 5 = 3

2x = 3 + 5

2x = 8

x = 4

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The appropriate inference procedure is the t test for μdiff.

We know that,

The mean is a basic mathematical average of two or more values.

There are several methods for computing the mean for a given collection of numbers, including the arithmetic mean approach, which utilizes the sum of the numbers in the series, and the geometric mean method, which is the average of a set of products.

The t test is used to compare the means of two groups.

We also know that,

Inferential statistics is a field of statistics that employs a variety of analytical procedures to draw conclusions about population data from sample data. Aside from inferential statistics, descriptive statistics are a subset of statistics. Inferential statistics aid in drawing inferences about the population, whereas descriptive statistics summarize the data set's features.

It is a very important tool that can be used in inferential statistics.

Since it shows whether the means of two groups are significantly different, we can say that, the appropriate inference procedure is the t test for μdiff.

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Answer: 0

Step-by-step explanation:8th Place 100*10 1000th Place is 0

Sharon is correct in classifying the shape as a square, rectangle, and quadrilateral.

The shape satisfies the criteria for each classification: it has equal sides and right angles, making it a square; it has right angles, making it a rectangle; and it has four sides, making it a quadrilateral. Therefore, the shape can be accurately described and categorized using all four classifications.

Moreover, as a quadrilateral, this shape satisfies the general criteria of having four sides. Its defined boundaries encompassing an enclosed area are emblematic of a quadrilateral.

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The boy will take approximately 64.5 minutes to walk to school if he was previously taking 43 minutes.

Using the concept of proportionality to determine the new time it will take for him to walk to school.

Let's denote:

d1 = Distance he was walking previously

t1 = Time he took previously

d2 = New distance he has to walk

t2 = New time it will take

From the given information, we know that:

d2 = 1.5 * d1

t1 = 43 minutes

Since distance and time are directly proportional, we can set up a proportion:

d1 / t1 = d2 / t2

Substituting the given values:

d1 / 43 = (1.5 * d1) / t2

To solve for t2, we can cross-multiply and solve for it:

d1 * t2 = (1.5 * d1) * 43

t2 = (1.5 * d1 * 43) / d1

Simplifying the expression:

t2 = 1.5 * 43

t2 = 64.5

Therefore, the boy will take approximately 64.5 minutes to walk to school if he was previously taking 43 minutes.

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The value of x is 53.  

We have,

From the figure,

There are two parallel lines.

This means,

44 and angle M are corresponding angles.

And,

We can consider a triangle as:

M + P + P = 180

Where P is the angle opposite to the equal sides.

So,

44 + P + P = 180

44 + 2P = 180

2P = 180 - 44

2P = 36

P = 18

Now,

x is the exterior angle.

This means,

x = 35 + P

x = 35 + 18

x = 53

Thus,

The value of x is 53.  

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W do not have sufficient evidence at the 0.01 level of significance to reject the claim made by the marketing executive

We'll perform a one-sample z-test for proportions.

From the survey, we know:

Sample size (n) = 1000

Sample proportion) = 0.748

Under the null hypothesis:

Proportion (p0) = 0.78

Now we can calculate the z-score:

z = (0.748 - 0.78) / ✓(0.78 * (1 - 0.78)) / 1000]

= -0.032 / ✓(0.1716 / 1000]

= -0.032 / 0.0131

≈ -2.44

From the z-table, the P-value for -2.44 is approximately 0.015.

However, we need to double this value to get the two-tailed P-value: 2 * 0.015 = 0.03.

If the P-value is less than the significance level (α = 0.01), we reject the null hypothesis. In this case, the P-value (0.03) is greater than α, so we do not reject the null hypothesis.

Based on the data from the Leichtman Research Group survey, we do not have sufficient evidence at the 0.01 level of significance to reject the claim made by the marketing executive.

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A lead atom is 200 times heavier than a hydrogen atom.

To determine how many times heavier a lead atom is compared to a hydrogen atom, we can calculate the ratio of their masses.

Mass of hydrogen = 1.7 × 10⁻²⁴ grams

Mass of lead atom = 3.4 × 10⁻²² grams

To find the ratio of their masses, we divide the mass of the lead atom by the mass of the hydrogen atom:

Ratio = 3.4 × 10⁻²² /  1.7 × 10⁻²⁴

= (3.4 / 1.7)× 10⁻²² / 10⁻²⁴

= 2×10²

= 200

Therefore, a lead atom is 200 times heavier than a hydrogen atom.

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The approximate mass of a hydrogen atom is 1.7*10^-24 grams. The mass of a single lead atom is approximately 3.4*10^-22 grams. How many times heavier is a lead atom than a hydrogen atom.

A. 5 times heavier

B. 20 times heavier

C. 50 times heavier

D. 200 times heavier

We can see here that converting 11/15 to decimal and a percent, we have:

Converting 15/11 to decimal and percent, we have:

A decimal is a number that uses the decimal system, which is a system of representing numbers using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, and a decimal point.

Thus, converting 11/15 to decimal and a percent:

Converting 15/11 to decimal and percent, we have:

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Answer:

7 7/8.

Step-by-step explanation:

o add mixed numbers like these, we first need to convert them to improper fractions, and then add them. Here are the steps to add 5 3/8 and 2 1/2:

Convert the mixed numbers to improper fractions:

5 3/8 = (5 x 8 + 3)/8 = 43/8

2 1/2 = (2 x 2 + 1)/2 = 5/2

Find a common denominator for the two fractions. The least common multiple of 8 and 2 is 8, so we can convert both fractions to have a denominator of 8:

43/8 + 5/2 = (43/8) + (5/2 x 4/4) = 43/8 + 20/8

Add the two fractions with the same denominator:

43/8 + 20/8 = 63/8

Convert the result back to a mixed number:

63/8 = 7 7/8