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



The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answer:

14 :)

Step-by-step explanation:

Answer:

Its is C! :)

Step-by-step explanation:

Hope you do Great! :)

brainliest would be nice:)

To find the mass of the lamina, we need to integrate the density function over region D. The density function is given by? (x, y) = 7ky, where k is a constant. The region D is bounded by y = \((1 ? x^2)\)  and y = 0, and the limits of integration are \(0 < = y < = (1 - x^2)\) .

So, the mass of the lamina is:

\(m = ∫∫?(x, y) dx dy = ∫∫ 7ky dx dy\\= 7k ∫∫ y dx dy = 7k * ∫ (1 - x^2) dy dx\\= 7k * ∫(0 to 1 - x^2) y dy\\= 7k * (1/2 * ∫(0 to 1 - x^2) y^2 dy)\\= 7k * (1/2 * [y^3/3] evaluated at y = (1-x^2) and y=0)\\= 7k * (1/2 * [((1-x^2)^3/3] - 0))= 7k * (1/2 * (1/3 - x^6))\)

To find the center of mass (x bar, y bar) of the lamina, we need to find the x and y coordinates of the center of mass.

The x-coordinate is given by

\((x bar) = 1/m * ∫∫ x ?(x, y) dx dy = 1/m * ∫∫ x * 7ky dx dy \\= 7k * ∫ (x * y) dx dy\\= 7k * (x * 1/2 * ∫(0 to 1 - x^2) y^2 dy)\\= 7k * (x * 1/2 * [y^3/3] evaluated at y = (1-x^2) and y=0)\\= 7k * (x * (1/2 * (1/3 - x^6))\\The y-coordinate is given by\\(y bar) = 1/m * ∫∫ y ?(x, y) dx dy = 1/m * ∫∫ y * 7ky dx dy= 7k * ∫ (y^2) dx dy\\= 7k * (1/3 * ∫(0 to 1 - x^2) y^3 dy)\\= 7k * (1/3 * [y^4/4] evaluated at y = (1-x^2) and y=0)\\= 7k * (1/3 * (1/4 - x^6/2))\)

It's worth noting that the mass and center of mass of the lamina depend on the constant k, which is not specified in the problem.

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The value of the number is x = 34.

Let's break down the problem and solve it step by step.

1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.

2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).

According to the problem statement, the two expressions are equal. We can set up the equation as follows:

2x - 5 = 3 * (x/2 + 4)

Now, let's solve the equation:

2x - 5 = 3 * (x/2 + 4)

Distribute the 3 to both terms inside the parentheses:

2x - 5 = (3/2)x + 12

Multiply through by 2 to eliminate the fraction:

2(2x - 5) = 2((3/2)x + 12)

4x - 10 = 3x + 24

Next, let's isolate the x term by moving the constant terms to the other side of the equation:

4x - 3x = 24 + 10

Simplify:

x = 34

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Answer:

13 hours

Step-by-step explanation:

8:00 plus 4 is twelve ( 12 o'clock )

then you have 9hrs left.

( 4+9=13 )

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

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Answer: guy Belows right

Step-by-step explanation:

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet)

What is elevation?

The elevation is the height of an object or point above a given reference point, usually sea level. It is often used to describe the height or altitude of a geographic location, such as a mountain peak or a city, and is commonly measured in feet or meters.

In the context of elevation, | -7 | feet would mean the vertical distance between the point at -7 feet and sea level (0 feet).

The vertical distance between two points is calculated by taking the absolute value of the difference between their elevations. So, in this case, the absolute value of -7 is 7, which means the point is 7 feet below sea level.

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet).

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Applying the logarithmic function, it is found that:

The age of a fossil with a proportion c of carbon 14 remaining is given by:

\(t(c) = -3970\ln{c}\)

If the fossil has 47% of carbon-14 remaining, we have that \(c = 0.47\), and thus:

\(t(0.47) = -3970\ln{0.47} = 2997\)

For a fossil that is 7000 years old, we have that \(t(c) = 7000\), and hence:

\(t(c) = -3970\ln{c}\)

\(\ln{c} = -\frac{3970}{7000}\)

\(e^{\ln{c}} = e^{-\frac{3970}{7000}}\)

\(c = 0.5671\)

A fossil that is 7,000 years old will have approximately 56.71% of its carbon-14 remaining.

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Answer:2998 Years

             17% of carbon

Step-by-step explanation:

edmentum and plato friendly double checked with multiple sources

To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:

Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190

Number of favorable outcomes:

Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:

Favorable outcomes = C(2, 2) = 1

Probability = Favorable outcomes / Total outcomes = 1/190

Therefore, the correct answer is (G) 1/190.

Options :

a.) shape unknown with mean of 2.8 and a standard deviation of 0.4 b.) approximately normal with mean of 2.8 and standard deviation of 4 C.) shape unknown with mean of 2.8 and standard deviation of 4 d.) approximately normal with mean of 2.8 and standard deviation of 0.4

Answer: d.) approximately normal with mean of 2.8 and standard deviation of 0.4.

Step-by-step explanation:

Given that :

Population Mean (m) = 2.8

Population Standard deviation (s) = 4

Sample size = 100

The mean of the sampling distribution is equal to the population mean, according to the central limit theorem. As the size of the sample increases, the mean if the sample distribution converges to that if the population mean.

Hence, sample mean = 2.8

The sample standard deviation (standard error) :

Standard Error = population standard deviation / √sample size

= s/√n

= 4 / √100

= 4/10

= 0.4

Using the Central Limit Theorem, it is found that the correct description of the sampling distribution of the sample means is:

Approximately normal, with mean of 2.8 and standard deviation of 0.4.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

In this problem, the population has an unknown distribution, with mean \(\mu = 2.8\) and standard deviation \(\sigma = 4\)

The sampling distribution of the sample means of size 100 has:

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Answer:

B. 733 customers

Step-by-step explanation:

15+30+45=90

since 30 people select a black frame, 1/3 of the customers picked black frames. If this data is consistent through the month (which we have to assume it is) then that means 1/3 of customers select a black frame on average. 1/3 of 2,200 is about 733, so we can assume, using the data given, that about 733 customers selected black frames! :)

Answer:18%

Step-by-step explanation:

Dylan should choose Ball B which having lowest density.

What is volume of spere?

The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.

Given that:

Ball A = diameter 7cm, mass 1.742kg

Ball B = diameter 6cm, mass 1.040kg

As we know that,

volume of a sphere =4/3πr³

1) For Ball A,

volume of a Ball A = 4/3π(3.5)³

volume of a Ball A = 179.6 cm³

given mass for Ball A is 1.742 kg = 1742 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball A will be 9.7 g/cm³.

2) For Ball B,

volume of a Ball B = 4/3π(3)³

volume of a Ball B = 113.11 cm³

given mass for Ball B is 1.040 kg = 1O40 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball B will be 9.19 g/cm³.

By comparing density of both balls,

Density of Ball A > Density of Ball B

Hence, Dylan should choose Ball B which having lowest density.

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The decimal representation of 0.9999... is a repeating decimal that goes on forever, but never reaches the value of 1.

Decimal representation is a way of expressing numbers using the base 10 system, where each digit is multiplied by a power of 10. In mathematics, there are two types of decimal numbers: finite and repeating decimals.

A repeating decimal is a decimal number that goes on indefinitely, but never reaches a specific value. The decimal representation of 0.9999... is a repeating decimal and it is important to understand its properties.

To understand the decimal representation of 0.9999..., we first need to understand what a repeating decimal is. A repeating decimal is a decimal number that goes on forever, but the sequence of digits repeats itself after a certain number of decimal places.

The decimal representation of 0.9999... is a repeating decimal, meaning it goes on forever, but never reaches 1. It can be arbitrarily close to 1, but it is not exactly 1. To understand this, consider the infinite sequence of 9s after the decimal point.

If we were to divide this number by 9, we would get the value of 1. This is because 0.999... divided by 9 is equal to 0.111..., which is a repeating decimal that goes on forever.

Complete Question:

The decimal representation of 0.9999... is a repeating decimal, which means it goes on indefinitely, but it never reaches 1.

Prove that it can be arbitrarily close, but it's not exactly 1.

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Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

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Answer:  

I think the answer is -3/4

Step-by-step explanation:

Let x = a number

(2x)(5) = 9x - (3/4)

10x = 9x - (3/4)

Subtract 9x on both sides of equation.

x = -3/4

Answer:

86.96%

Step-by-step explanation:

s2 = a2 / n  

a2 =  4.34782608696 if just 1/1 flavour 400/400 was the case.

We are asked to account for 5 flavours 4.34782608696/5

Z test was  0.86956521739 for red candies

s2 = a2/n

a2 = 0.86956521739/1

s2 = 0.86956521739/1  

s2 = 0.87 hundredth place

Percentage  0.86956521739 x 100 = 86.96% to 100th place

Answer:

$1154 and $486

Step-by-step explanation:

Let x be the amount the first family made and y be the amount the second family made. We can use this to set up a system of equations:

x+y=1640

x=2y+182

We can solve this system using substitution:

2y+182+y=1640

Add like terms

3y+182=1640

Subtract 182 from both sides

3y=1458

Divide both sides by 3

y=486

Now we plug in 486 for y to get:

x=2(486)+182

x=972+182

x=1154

One family made $1154 and the other made $486

Answer:

-a^3 -3a^2

Step-by-step explanation:

(fg) (x) = x^2 (x-3)

= x^3 - 3x^2

(fg) (-a) = (-a)^3 -3 (-a)^2

= -a^3 -3a^2

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Answer:

Dimensions: 11.25' by 15.63'

Area: 175.78 ft sq.

Step-by-step explanation:

In order to find the dimensions, we need to multiply the given drawing dimensions by the given scale. In this case, we simply need to multiply each dimension by 60:

\(2\frac{1}{4}" * 60 = 135"\)

\(3\frac{1}{8}" * 60 = 187\frac{1}{2}"\)

In order to change this to feet, we need to divide each dimension by 12:

\(\frac{135}{12} = 11\frac{1}{4}\)

\(\frac{187\frac{1}{2}}{12} = 15\frac{5}{8}\)

Now that we have the dimensions in feet, we can find the area in square feet. We do this by multiplying the two dimensions:

\(11\frac{1}{4} * 15\frac{5}{8} = 175.78 ft sq.\)

Hope this helps your understanding. Let me know if you need anything explained.

The cost for an adult to enter the theme park is $25.

What is the system of equations?

A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A set of equations satisfied by the same set of variables is called a system of linear equations."

Given that there are three types categories of charges.

Assume that the entry charge for children under age 12 is x.

The entry charge for children over age 12 is y.

The entry charge for children over adults is z.

The entry charge for 2 kids under age 12, 3 kids over age 12, and 3 adults are 2x + 3y + 3z.

The entry charge 4 kids under age 12 are 4x.

The entry charge for 1 teenager (over 12) is y.

The system of equations is

2x + 3y + 3z = 174 ....(i)

4x + 2z = 122 .....(ii)

y + z = 46 ....(iii)

Rewrite the equation (i)

2x + 3(y + z) = 174

Putting y + z = 46 in the above equation:

2x + 3×46 = 174

2x = 174 -138

2x = 36

x = 18

Putting x = 18 in equation (ii)

4×18 + 2z = 122

72 + 2z = 122

2z = 50

z = 25

Putting z = 25 in equation (iii)

y + 25 = 46

y = 21

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Answer:

$2.72

Step-by-step explanation:

2.74x0.89=2.4475

0.8x0.34=0.272

2.447+0.272=2.719, rounded is 2.72

Answer:

\(-\frac13\)

Step-by-step explanation:

Just the slope, so we can simply apply the definition, as variation in y over the variation in x

\(m= \frac{\Delta y}{\Delta x} = \frac{1-4}{2-(-7)} = \frac {-3}{9} = -\frac13\)

Answer:

0.222

Step-by-step explanation:

Y2-Y1 ÷ X2-X1

4-2 ÷ -7-2

2÷-9

0.222

The solution of the triangle have been shown below.

To solve a triangle means to find the values of all its angles and sides. The method for solving a triangle depends on the given information.

Given that;

a/Sin A = b/SinB

Sin B = bSin A/a

B = Sin-1(bSin A/a)

B = Sin-1 (23Sin 40/17)

B = 60.4 degrees

Then we have that

C = 180 - (40 + 60.4)

= 79.4 degrees

Then;

a/sinA = c/Sin C

c= aSin C/Sin A

c = 17 * Sin 79.4/Sin 40

c =   16.71/0.643

c = 25.9

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Answer:

1. \(2^{4}\)

2. \(9^{5}\)

3. \(3^{6}\)

4. \(8^{2}\)

5. \(3^{7}\)

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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