Let f(x) - 3 and g(x)=8+11

The equation of circle (x-4)² + (y+11)² = 64

What is a Circle?

All points in a plane that are at a specific distance from a specific point, the center, form a circle. Alternatively, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

Here we know that (h,k)=(4,-11) but we are not given the radius.

However, we can find the radius by using the distance formula.

Therefore,

r = √[(x2 - x1)² + (y2 - y1)²]

r = √[(4 - 4)² + (-3 + 11)²]

r = √[(0)² + (8)²]

r = √(8²)

r = 64

An equation of the circle with center (h,k) and radius r is

(x−h)^2 +(y−k)^2=r^2

Substitute the values in the equation of circle as follows:

(x-4)² + (y+11)² = 8²

(x-4)² + (y+11)² = 64

Therefore, the equation of the circle is (x-4)² + (y+11)² = 64

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Answer:

Step-by-step explanation:

kjiuhytresdzxiu8y765re4rsdxfbhgytfyrdeswaszxdfcg

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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EXPLANATION

Given that the mean is 53.2 inches, and standard deviation of 3 inches. We will first find the z scores for height 49.8 and 60.6. inches

Therefore,

Using a z score calculator, The probability that the height of a randomly chosen child is between 49.8 and 60.6 inches is

Correct option is C

The plot of normal distributions A and B

A has the larger standard deviation

Standard Deviation

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

The name standard deviation for SD came from Karl Pearson. I would guess no more than that he wanted to recommend it as a standard measure. If anything, I guess that references to standardization either are independent or themselves allude to SD.

Mean

In statistics, the mean is one of the measures of central tendency, apart from the mode and median. Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency.

Normal Distribution

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graphical form, the normal distribution appears as a bell curve.

The plot of normal distributions A and B

A has the larger standard deviation

Correct option is C

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Answer:

14

Step-by-step explanation:

Step 1:

2 ( 3b - 2 ) = 2 ( 2b + 12 )     Equation

Step 2:

6b - 4 = 4b + 24     Multiply

Step 3:

6b = 4b + 28    Add 4 on both sides

Step 4:

2b = 28     Subtract 4b on both sides

Step 5:

b = 28 ÷ 2    Divide

Answer:

b = 14

Hope This Helps :)

Step-by-step explanation:

let's see....

3m × 5r = 15mr

15(m × r)

15mr.

if it helps don't forget to like and mark me down

Answer:

$4.32

Step-by-step explanation:

If you are splitting it evenly, just divide 12.96 by 3

12.96 / 3 = $4.32

The value of the number is 64

We need to know that index forms are described as mathematical forms that are used to represent numbers or variables that are too large or too small in more convenient forms.

The rules of index forms are;

Add the exponents when multiplying numbers of like bases

Subtract the exponents when dividing numbers of like bases

From the information given, we have the index form as;

4⁴⁻¹

subtract the exponent, we get;

4³

Find the cube of 4, we have;

64

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We can express the number 98 in exponential form as 10 raised to the power of 2. This means that by multiplying the base, which is 10, by itself twice, we obtain the value of 98.

To express 98 in exponential form, we need to determine the base and exponent that can represent the number 98.

Exponential form represents a number as a base raised to an exponent. Let's find the base and exponent for 98:

We can express 98 as 10 raised to a certain power since the base 10 is commonly used in exponential notation.

To find the exponent, we need to determine how many times we can divide 98 by 10 until we reach 1. This will give us the power to which 10 needs to be raised.

98 ÷ 10 = 9.8

Since 9.8 is still greater than 1, we need to continue dividing by 10.

9.8 ÷ 10 = 0.98

Now, we have reached a value less than 1, so we stop dividing.

From these calculations, we can see that 98 can be expressed as 10 raised to the power of 1 plus the number of times we divided by 10:

98 =\(10^1\) + 2

Therefore, we can write 98 in exponential form as:

98 = \(10^3\)

In summary, 98 can be expressed in exponential form as 10^2. The base is 10, and the exponent is 2, indicating that we multiply 10 by itself two times to obtain 98.

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The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.

The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.

For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.

The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6

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Step-by-step explanation:

6x(x+3)+7x(2x+1)=5x(4x+5)

The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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By substituting different values of x, corresponding values of function y are 5, -1, -7, and -31 obtained as shown in the table.

For the given situation,

The function is y=-6x-1.

Substitute the different values of x in function y, to obtain the value of y.

For x = -1,

y= 5

⇒

For x = 0,

y= -1

⇒

For x = 1,

y = -7

⇒

For x = 5,

-31

⇒

The table below shows the values of x and the function y.

Hence we can conclude that by substituting different values of x, corresponding values of function y are obtained as shown in the table.

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Answer:

Step-by-step explanation

1= 12

.8 of 1 = 48

so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour

Answer:

the experimental probability that the next vase produced at the factory will be chipped is 1/5.

Step-by-step explanation:

Since 5 out of the 13 boats that docked were from North Carolina, the experimental probability of the next boat being from North Carolina is the number of favorable outcomes (i.e., the number of boats from North Carolina) divided by the total number of outcomes (i.e., the total number of boats that docked).

Therefore, the experimental probability that the next boat to dock will be from North Carolina is:

P(North Carolina) = 5/13

For the second question:

Since 2 out of the last 10 vases produced were chipped, the experimental probability that the next vase will be chipped is:

P(chipped) = 2/10 = 1/5

Therefore, the experimental probability that the next vase produced at the factory will be chipped is 1/5.

Answer:

he is not a chef

Step-by-step explanation:

Answer: he a bad cook.

Step-by-step explanation:

We can use the formula for the monthly payment of a loan to calculate the amount we need to pay each month:

M = (P * r * (1+r)^n) / ((1+r)^n - 1)

Where:

M = the monthly payment

P = the principal (the amount borrowed)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of months in the loan term (which is the number of years multiplied by 12)

Plugging in the given values, we get:

P = $3825

r = 15% / 12 = 0.0125

n = 4 years * 12 = 48 months

M = ($3825 * 0.0125 * (1+0.0125)^48) / ((1+0.0125)^48 - 1)

M ≈ $94.87

Therefore, the monthly payment will be approximately $94.87.

Answer:

\(6 + 5 = 11 + 3 = 14 + 2 = 16\)

\(6 \div 5 \div 3 \div 2 = 0.2\)

\( 6 \times 5 \times 3 \times 2 = 180\)

Step-by-step explanation:

If its addition add them, multiplication multiply them, division divided them.

Answer:

Step-by-step explanation:

i need help sorry no answer got u

Answer:

-2n + 8/9

Step-by-step explanation:

Try that tell me I it don't work

Step-by-step explanation:

4 feet of ribbon = 1 bow

118 feet of ribbon = 118/4 = 29 1/2 bows

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Answer:

Penny's earnings at the end of the week

Step-by-step explanation:

b = number of bracelets Penny sells, so 3b = the total amount of money Penny earns, based on the number of bracelets she sells.

Answer:

8/20 in simplest form this would be 2/5

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Total of 20 beads

8 are white

8/20 beads = 4/10 = 2/5

Based on the direct variation relationship between x and y, where y is 33 when x is 11, we find that y is 36 when x is 12.

If x and y vary directly, it means that they have a constant ratio between them. We can express this relationship as:

y = kx,

where k is the constant of variation.

To find the value of k, we can use the given information that when x is 11, y is 33. Substituting these values into the equation, we have:

33 = k * 11.

Dividing both sides by 11, we find:

k = 3.

Now that we have determined the constant of variation, we can find y when x is 12 by substituting this value into the equation:

y = 3 * 12.

Evaluating this expression, we get:

y = 36.

Therefore, when x is 12, y will be 36.

Based on the direct variation relationship between x and y, where y is 33 when x is 11, we find that y is 36 when x is 12.

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Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

Answer:

76890000000 to 7.689 ×10^10

Step-by-step explanation:

Answer:

143.5

Step-by-step explanation:

4lnx=20

lnx=5

lnx= logeX

logeX=5

x=e^5

that is approximately equal to 2.7^5= 143.5

Answer:

x=148.4

Step-by-step explanation: