Identify the center and radius of the circle with the following equation:
〖(x+3)〗^2+〖(y-1)〗^2=81

First make the graph of the functions, then  if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Symmetric

A figure or shape that can be divided into two equal parts by a line is called symmetric figures.

Inverse Functions

The inverse function of a function f  is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by F^-1.

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Answer:

13. 5/8

14. 16/24

15. 15/35

Answers:

13. 5/8

\(\frac{5}{8} \neq \frac{2}{3}\)

14. 16/24

\(\frac{16}{24} \neq \frac{3}{4}\)

15. 15/35

\(\frac{15}{35} \neq \frac{2}{7}\)

We can expect the mean length of ears in the next generation to be 31.6 cm.

It is given that the narrow sense heritability (h2) is 0.70, which means that 70% of the total variation in maize ear length is due to genetic factors.

Let the mean length of ears in the original population be µ and the mean length of ears in the selected plant be x. Then, we can use the formula for response to selection to find the expected mean length of ears in the next generation:

x' = µ + h2 * (x - µ)

Substituting the given values, we get:

x' = 28 + 0.70 * (34 - 28) = 31.6 cm

Therefore, we can expect the mean length of ears in the next generation to be 31.6 cm.

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Answer:

x = 103

y = 103

z = 33

Step-by-step explanation:

The sum of all three interior angles is 180 degrees.

180 - 29 - 48 = 103

x = 103

The vertical angles are always congruent, so x = y.

y = 103

180 - 44 - 103 = 33

z = 33

Answer

look at the ss i sent to see the answer

Step-by-step explanation:

The distance from the point (0, 0, 12) to the line x = 4t, y = -2t, z = 2t is (8√15) / 3.

The distance from the point (0, 0, 12) to the line defined by x = 4t, y = -2t, z = 2t can be found using the formula for the distance between a point and a line in three-dimensional space.

The formula is given by:

Distance = |(P - Q) × V| / |V|,

where P is a point on the line, Q is the given point, V is the direction vector of the line, and × denotes the cross product.

In this case, we can choose any point on the line to represent P. Let's choose P as (4, -2, 2). The direction vector of the line is V = (4, -2, 2).

Using the formula, we can calculate the distance as follows:

Distance = |((0, 0, 12) - (4, -2, 2)) × (4, -2, 2)| / |(4, -2, 2)|.

Simplifying the expression, we get:

Distance = |(-4, 2, 10) × (4, -2, 2)| / |(4, -2, 2)|.

To find the cross product, we can use the determinant method:

((-4, 2, 10) × (4, -2, 2)) = [(2 * 2 - 10 * -2), (10 * 4 - (-4) * 2), ((-4) * (-2) - 2 * 4)]

= (4 - 20, 40 - (-8), 8 - 8)

= (-16, 48, 0).

Now we can substitute the values back into the distance formula:

Distance = |(-16, 48, 0)| / |(4, -2, 2)|.

Taking the magnitude of the vectors, we get:

Distance =\(\sqrt((-16)^2 + 48^2 + 0^2) / √(4^2 + (-2)^2 + 2^2)\)

= √(256 + 2304 + 0) / √(16 + 4 + 4)

= √2560 / √24

= 16√10 / 2√6

= 8√10 / √6

= (8√10 / √6) * (√6 / √6)

= (8√60) / 6

= (8√15) / 3.

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Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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Answer:

10

Step-by-step explanation:

Here, we want to find the value of ;

h circle h(10)

This mean we are to put h in h, the find the function of 10

we have this as;

6-(6-x)

= 6-6 + x = x

Now, replace the x by 10; so we have h circle h(10)

Answer:

5?

Step-by-step explanation:

There is no value for x, but the y value for 0 would be 5.

The curve of best fit is an illustration of a quadratic regression

The equation of the curve of best fit is \(y = -\frac{17}{18}x^2 + \frac{17}3x + 2\), and the height of the frog after 6 seconds is 2 feet

To determine the equation of the curve of best fit, we make use of a graphing calculator

Using the graphing calculator, we have the following calculation summary

The equation of the curve of best fit is represented as:

\(y = ax^2 + bx + c\)

Substitute the values for a, b and c.

So, we have:

\(y = -\frac{17}{18}x^2 + \frac{17}3x + 2\)

After 6 seconds, the value of x is 6.

So, we have:

\(y = -\frac{17}{18} * 6^2 + \frac{17}3 * 6 + 2\)

Evaluate

\(y = 2\)

Hence, the height of the frog after 6 seconds is 2 feet

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Answer:

Step-by-step explanation:

2 numbers that differ by 3 and have a product of 88 are 11 and 8.

Let's say that the very first figure is x and the next is y.

x - y = 3 -----> y=x-3 .........(i)

xy=88 .......(ii)

Substitute (i) to (ii)

xy=88

x(x-3)=88

x\(x^{2} - 3x = 88\\x^{2} - 3x - 88 = 0\)

(x+8)(x-11)=0

x+8=0 or x-11=0

x=-8 or x=11

Substitute x=-8 to (i)

y=x-3

y=-8-3=-11

Substitute x=11 to (i)

y=x-3

y=11-3=8

Thus, x = -8 and y =- 11 or x = 11 and y = 8

2 numbers that differ by 3 and have a product of 88 are 11 and 8.

A 2nd equation with the form ax2 + bx + c = 0 denotes a quadratic equation, where a, b, and c are real-number coefficients and a 0.  For instance, if school administration decides to build a chapel with a floor size of 400 sq metres and a length that is two meters longer than its width, we will need the aid of a quadratic equation to determine the length and breadth. 

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∫_A^B ∫_B^C ∫_D^E (10%)(x^2 + y^2 + z^12) dz dr dθ.

This represents the full iterated integral for F_sav over the given solid cylinder.

(a) The iterated integral for F_sav with the given limits of integration is as follows:

∫∫∫_W (10%)(x^2 + y^2 + z^12) dz dr dθ,

where the limits of integration are A = 0, B = C = 0, D = 6, and E = -1.

(b) To evaluate the integral, we begin with the innermost integration with respect to z. Since z ranges from -1 to 6, the integral becomes:

∫∫_D^E (10%)(x^2 + y^2 + z^12) dz.

Next, we integrate with respect to r, where r represents the radial distance from the z-axis. As the solid cylinder is centered about the z-axis and has a base radius of 6, r ranges from 0 to 6. Thus, the integral becomes:

∫_B^C ∫_D^E (10%)(x^2 + y^2 + z^12) dz dr.

Finally, we integrate with respect to θ, where θ represents the angle around the z-axis. As the cylinder is symmetric about the z-axis, we integrate over a full circle, so θ ranges from 0 to 2π. Hence, the integral becomes:

∫_A^B ∫_B^C ∫_D^E (10%)(x^2 + y^2 + z^12) dz dr dθ.

This represents the full iterated integral for F_sav over the given solid cylinder.

The problem asks for the iterated integral of F_sav over the solid cylinder W. To evaluate this integral, we use the cylindrical coordinate system (r, θ, z) since the cylinder is centered about the z-axis. The function inside the integral is 10% times the sum of squares of x, y, and z^12. By integrating successively with respect to z, r, and θ, and setting appropriate limits of integration, we obtain the final iterated integral. The integration limits are determined based on the given dimensions of the cylinder.

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Answer:

B is correct

Step-by-step explanation:

Hope I helped you and have an amazing day

Answer:

39 in²

Step-by-step explanation:

Area of triangle = 1/2 * b * h, where,

b = Base of Triangle

h = Height of triangle

Area of 4 triangles = 4 * 1/2 * 3 in * 5in

Area of 4 triangles = 2 * 3 in * 5 in

Area of 4 triangles = 30 in²

Area of square = a², where,

a = Each side of square.

Area of square = (3 in) ²

Area of square = 9 in²

Total surface area of pyramid = 30 inch² + 9 inch²

Total surface area of pyramid = 39 in²

Answer:

39 in^2 (Please mark me brainliest)

Step-by-step explanation:

3*3+3*2*5

=39

Answer: The first three odd prime numbers are 3, 5, and 7. A number is a multiple of two but not three of these prime numbers if it is divisible by two of them, but not the third.

To find the number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers, we can count the number of multiples of each pair of prime numbers and subtract the number of multiples of all three prime numbers.

There are 200 multiples of 3 and 5 between 1000 and 2000 (200 numbers for each, for a total of 200 * 2 = 400). There are 133 multiples of 3 and 7 between 1000 and 2000 (133 numbers for each, for a total of 133 * 2 = 266). There are 80 multiples of 5 and 7 between 1000 and 2000 (80 numbers for each, for a total of 80 * 2 = 160). There are no multiples of all three prime numbers between 1000 and 2000.

Thus, the total number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers is 400 + 266 + 160 = 826.

Step-by-step explanation:

Answer: The answer is D

Step-by-step explanation: I hope this helps!

Answer:

real answer 2

Step-by-step explanation:

the answer is 7 in my mind but sometimes it might be 11

Answer:

0.32×0.5=0.16

The domain of the function will therefore be 0≤x<∞

Domain of a function are the independent value for which a function exists. Given the function below;

f(x) = \(\sqrt[4]{x}\)

Since the value in the root cannot be negative hence the domain of the function will be all positive real numbers.

The domain of the function will therefore be 0≤x<∞

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Answer:

A stratified random sampling involves dividing the entire population into homogeneous groups called strata (plural for stratum). Random samples are then selected from each stratum. ... A random sample from each stratum is taken in a number proportional to the stratum's size when compared to the population.

Answer:

Sampling that is used to represent different groups depending on their different qualities.

Hope that helps. x

We have the following:

The total cost to rent the boat will be:

3.5 hours x $ 12 per hour + $ 5 = $ 47. If she splits the cost with a friend, they each play $ 47 / 2 = $ 23.5

Answer:

Step-by-step explanation:

The sequence of arc lengths is a geometric sequence with first term 14 ft and common ratio 0.8. The general (n-th) term of such a sequence is given by ...

  an = a1 · r^(n-1) . . . . . . . first term a1, common ratio r

For this scenario, the n-th term is ...

  an = 14·0.8^(n-1)

__

The 5th term is ...

  a5 = 14·0.8^(5-1) ≈ 5.734 . . . . feet

__

For the arc length to be less than 1 ft, we require ...

  14·0.8^(n-1) < 1

  0.8^(n-1) < 1/14

  (n -1)log(0.8) < log(1/14) . . . . . . note that these log values are negative

  n -1 > log(1/14)/log(0.8)

  n > 1 +log(1/14)/log(0.8) ≈ 12.8

The 13th swing will have an arc length less than 1 ft.

__

The sum of n terms of a geometric sequence is given by ...

  Sn = a1 · (1 -r^n)/(1 -r)

13 terms of our sequence will total ...

  S13 = 14 · (1 -0.8^(13))/(1 -0.8) ≈ 66.152 . . . feet

The total distance traveled in 13 swings is about 66.152 feet.

Answer:

tbh- you seem like you would be funny,nice, and pretty

Step-by-step explanation: Love ya ;)

The Correlation coefficient of the given data is 0.9889 and the linear regression equation is ŷ = 381.07143X - 565.71429.

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together.

Given a Table of data where x is minutes after the earthquake and y is people noticed that

x      y

1 10

2 100

3 400

4 900

5 1400

6 1800

7 2100

M: 4  M: 958.5714

Sum of X = 28

Sum of Y = 6710

Mean X = 4

Mean Y = 958.5714

Sum of squares (SSX) = 28

Sum of products (SP) = 10670

Regression Equation = ŷ = bX + a

b = SP/SSX = 10670/28 = 381.07143

a = MY - bMX = 958.57 - (381.07*4) = -565.71429

Thus, the linear equation is ŷ = 381.07143X - 565.71429

For correlation coefficient

X Values

∑ = 28

Mean = 4

∑(X - Mx)2 = SSx = 28

Y Values

∑ = 6710

Mean = 958.571

∑(Y - My)2 = SSy = 4158085.714

X and Y Combined

N = 7

∑(X - Mx)(Y - My) = 10670

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSₓ)(SS))

r = 10670 / √((28)(4158085.714)) = 0.9889

Meta Numerics (cross-check)

r = 0.9889

Thus the correlation coefficient for the given data is 0.9889.

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Answer: 16.15

Step-by-step explanation:

Divide by 5 on both sides

m=16.15

The measures of each term are; WS=39, WY=78, WZ=58, ZR=29, ZT=16 and YZ=32.

WE are given that Z is the centroid of triangle. Since centroid is the centre point of the object. The point in which the three medians of the triangle intersect is the centroid of a triangle.

Given WR=87 SY=39 and YT=48

WS=39

As WS=WR

WY=WS+SY

WY=39+39=78

WZ=58

Now, ZR=WR-WZ

ZR=87-48=29

ZT=16

Similalry;

YZ=YT-ZT

=48-16=32

YZ=32

Hence, the measures are; WS=39, WY=78, WZ=58, ZR=29, ZT=16 and YZ=32

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Answer:

(0,2)

Step-by-step explanation:

The equations must be derived from the graph:

First, find the slope of f(x):

\(m=\frac{y_2-y_1}{x_2-x_1}\) let \((x_1,y_1)=(-3,3)\) and \((x_2,y_2)=(3,1)\)

\(m=\frac{(1)-(3)}{(3)-(-3)}\\m=\frac{-2}{6}\\m=-\frac{1}{3}\)

Then use \(y-y_1=m(x-x_1)\)

\(y-3=-\frac{1}{3}[x-(-3)]\\y-3=-\frac{1}{3}x-1\\y=-\frac{1}{3}x+2\\f(x)=-\frac{1}{3}x+2\)

For g(x), let:

\((x_1,y_1)=(-3,0)\\(x_2,y_2)=(0,2)\)

\(m=\frac{(2)-(0)}{(0)-(-3)}\\m=\frac{2}{3}\)

\(y-0=\frac{2}{3}[x-(-3)]\\y=\frac{2}{3}x+2\\g(x)=\frac{2}{3}x+2\)

Now, to solve for x, allow the two expressions written in terms of x equal each other.

\(-\frac{1}{3}x+2=\frac{2}{3}x+2\\(-\frac{1}{3}x+2)+\frac{1}{3}x=(\frac{2}{3}x+2)+\frac{1}{3}x\\2=x+2\\(2)-2=(x+2)-2\\x=0\)

To solve for y, substitute 0 for x in f(x):

\(y=-\frac{1}{3}x+2\\y=-\frac{1}{3}(0)+2\\y=0+2\\y=2\)

So, the solution to this system of equations would be the ordered pair (0,2).  This solution is seen on the graph as the intersection of the two lines.

The required z-score is -0.5 and the probability that the firm WILL have a negative EPS is 30.85%.

Firm has a loss level EBIT of $175m and an expected EBIT of $200m with a standard deviation of $50m.

Z-score = (EBIT - Expected EBIT) / Standard deviation= (175 - 200) / 50= -0.5

Probability of having a negative EPS:

To find the probability that the firm will have a negative EPS, we need to find the area to the left of Z-score. As the Z-score is negative, we will be finding the left-tail probability using the standard normal table from the link below:

The area to the left of Z-score (0.5) is 0.3085 or 30.85%.

Therefore, the probability that the firm WILL have a negative EPS is 30.85%.

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