What is the y-intercept of the following graph?​

Answer:

\(7\)

Step-by-step explanation:

We see that the circle is centered at \((1, 0)\). We know that because it's centered on the x-axis, one of the diameters will lie on the x-axis.

We know that the circle intersects the x-axis at \((8, 0)\). Therefore the radius of the circle is the distance between these points, in this case \(8-1=7\).

So, the answer is \(\boxed{7}\) and we're done!

An Annual is not an example of an agreement.

A graph of the cube root function g(x) = 1/2x³ is shown in the image below.

In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.

When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;

g(x) = kf(x)

g(x) = 1/2f(x)

g(x) = 1/2x³.

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Answer:

The line x = 3 is simply a vertical line that passes through every single point where x is equal to 3.

One that is is parallel and passes through (-4, 7) will be in the same format, just with another number.  The given point has an x-coordinate of -4, so the line is:

x = -4

Answer:

See below

Step-by-step explanation:

y-3=1/2(x+2) Indicates a graph with slope 1/2 that runs through the point (-2,3). I have graphed it below. Hope this helps!

Graph of y - 3 = 1/2 (x + 2) is shown in figure.

Here,

We have to draw the graph of y - 3 = 1/2 (x + 2).

What is Slope of line?

The slope of a line is a number that describes both the direction and the steepness of the line.

Now,

The function is;

y - 3 = 1/2 (x + 2)

Compare with the equation of line,

y - y₁ = m (x - x₁)

Where, m is slope of the line on the graph between any two points and point ( x₁, y₁) are point on graph.

We get the point (-2, 3) and slope 1/2.

Here, Let two points on graph is (-4, 2) and (-6, 1).

Hence, Slope = \(\frac{1-2}{-6 -(-4)} =\frac{1}{2}\)

So, The graph of y - 3 = 1/2 (x + 2) has slope 1/2 and point ( -2, 3 ) on the graph.

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To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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Answer:

that it has a radius of (84/(h×pi))^1/3

The total area of the regions between the curves is 4.5 square units

The graph is attached

From the question, we have the following parameters that can be used in our computation:

y = x² - 6x + 9 and y = x - 1

With the use of graphs, the curves intersect at

x = 2 and x = 5

So, the area of the regions between the curves is

Area = ∫x² - 6x + 9 - x + 1

This gives

Area = ∫x² - 7x + 10

Integrate

Area =  x³/3 - 7x²/2 + 10x

Recall that x = 2 and x = 5

So, we have

Area = [2³/3 - 7(2)²/2 + 10(2)] - [5³/3 - 7(5)²/2 + 10(5)]

Evaluate

Area = 4.5

Hence, the total area of the regions between the curves is 4.5 square units

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Answer:

Probability of spinning an odd number = 1/3

Step-by-step explanation:

4 odd out of 12 sections

Probability of spinning an odd number = 4/12 = 1/3

Answer:

13/5 of 11 feet should be 343 inches aka 28.58 feet

28.58 feet minus 3.3 feet should be 25.28 feet

I believe your answer would be 25.28 feet or 303.36 inches

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

75-30=45

6 is the amount that it cost for each guest well 6x7=42 therefore milo can only invite up to 7 guests to his party

Answer:

la ma espole

Step-by-step explanation:

Answer:

11................. ..............

Answer:

191

Step-by-step explanation:

First, find the common change:

17-14 = 3

20-17 = 3

23-20 = 3

3 is the common change between each term

23 is the 4th term while x is the 60th term, so we solve for x:

First, subtract the term numbers: 60 - 4 = 56

Now multiply the difference by 3, the common change between each term:

56 * 3 = 168

Finally, add the product to the 4th term which is 23:

168 + 23 = 191  ==> the 60th term

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Answer:

The 60th term of the sequence is 191

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed value, called the common difference, to the previous term. In this case, the common difference is 3.

To find the 60th term of the sequence, we can start with the first term (14) and add the common difference (3) 59 times to get the 60th term.

14 + 3(59) = 14 + 177 = 191

Therefore, the 60th term of the sequence is 191.

Answer:(3,-4) you just have to follow the equation.

Slope = change in y over change in x.

Slope = (-6 - -9) / (-6 - -2)

Slope = (-6 + 9) / (-6 + 2)

Slope = 3/-4

Slope = -3/4

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

B. 33

Step-by-step explanation:

The average of the terms of a contiguous subsequence of any arithmetic progression is the average of the first and last terms.

To see this, notice that if you remove  25  and  41 from your sequence, then the average of the remaining terms is still given by the average of the extreme terms

The solutions to the given linear equations found using the properties of the geometric figures are;

9. RS = 17

10. MN = 68

11. XY ≈ 15.23

12. MN = √((4 - (-1))² + (0 - 2)²) ≈ 5.39

13. The midpoint of AB is the point (-5, 1)

14. R(-3, 8)

15. JL = 22•x + 10

16. CD = 15

9. According to segment addition postulate, we have;

RT = RS + ST

RS = 23 - 2•x

ST = 9•x - 5

Which gives;

39 = 23 - 2•x + 9•x - 5 = 7•x + 18

7•x = 39 - 18 = 21

x = 21/7 = 3

x = 3

RS = 23 - 2•x

RS = 23 - 2×3 = 17

10. LN = 6•x - 5

LM = x + 7

MN = 3•x + 20

LN = LM + MN

Which gives;

LN = x + 7 + 3•x + 20 = 4•x + 27

LN = 6•x - 5

Therefore;

6•x - 5 = 4•x + 27

6•x - 4•x = 27 + 5 = 32

2•x = 32

x = 32/2 = 16

x = 16

MN = 3•x + 20

Which gives;

MN = 3×16 + 20 = 68

11. The points are;

X(-9, 2), Y(5, -4)

Using Pythagorean theorem, we have;

XY = √((5 - (-9))²+(-4 - 2)²) ≈ 15.23

12. The coordinates of the points are;

M(-1, 2), and N(4, 0)

Which gives;

MN = √((4 - (-1))² + (0 - 2)²) ≈ 5.39

13. The points are;

(-3, 8), (-7, -6)

The midpoint is therefore;

((-3+(-7))/2, (8+(-6))/2) = (-5, 1)

14. The points are;

P(11, -2), Q(4, 3)

The midpoint of the PR = Q

Which gives;

((11+x)/2, (-2+y)/2) = (4, 3)

(11+x)/2 = 4

x = 2×4 - 11 = -3

(-2+y)/2 = 3

(-2+y) = 3×2 = 6

y = 6 + 2 = 8

The coordinates of the point R is therefore;

15. JK = 8•x + 11

KL = 14•x - 1

JL = 8•x + 11 + 14•x - 1 = 22•x + 10

JL = 22•x + 10

16. CD = CE

Therefore;

x + 6 = 4•x - 21

4•x - x = 21 + 6 = 27

3•x = 27

x = 27/3 = 9

x = 9

CD = 9 + 6 = 15

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Answer:

dvide 54 by 6 then the answer you get  subrtact it by 3 then the answer you get multiply iy by 2 then thats will be your answer

Step-by-step explanation:

remember always use PEMDAS always add or subract wich ever comes first and if theres none of that then do Multiply or devide wich ever comes first  ( btw your answer is   ( 3 )

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

Question 5 options:

48 sq. ft.

36 sq. ft.

24 sq. ft.

42 sq. ft.

Answer:

49.98

Step-by-step explanation:

The interest rate is given as follows:

5%.

The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

The interest accrued is given as follows:

I(t) = Prt.

For each case, the interest accrued is given as follows:

The total interest was of 13,500, hence:

I(3) + I(5) = 13500.

Meaning that the interest rate is obtained as follows:

120,000r + 150,000r = 13500

r = 13500/270000

r = 0.05.

r = 5%.

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Answer:

Step-by-step explanation:

To find the limit of (n!)^(1/n) as n approaches infinity, we can use the Stirling's approximation for n!, which is:

n! ≈ (n/e)^n √(2πn)

where e is the mathematical constant e ≈ 2.71828, and π is the mathematical constant pi ≈ 3.14159.

Using this approximation, we can rewrite (n!)^(1/n) as:

(n!)^(1/n) = [(n/e)^n √(2πn)]^(1/n) = (n/e)^(n/n) [√(2πn)]^(1/n)

Taking the limit as n approaches infinity, we have:

lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n)

Using the fact that lim a^(1/n) = 1 as n approaches infinity for any constant a > 0, we can simplify the second term as:

lim [√(2πn)]^(1/n) = 1

For the first term, we can rewrite (n/e)^(n/n) as [1/(e^(1/n))]^n and use the fact that lim a^n = 1 as n approaches infinity for any constant 0 < a < 1. Thus, we have:

lim (n/e)^(n/n) = lim [1/(e^(1/n))]^n = 1

Therefore, combining the two terms, we have:

lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n) = 1 x 1 = 1

Hence, the limit of (n!)^(1/n) as n approaches infinity is 1.

Answer:1

Step-by-step explanation:

Answer:

It's equal to itself. Here are the two ways to do this problem. ↓

Answer:

0.288

Step-by-step explanation:

Given that :

Correlation (R) = 0.48

Slope of linear model which predicts Lifespan from years of education (m) = 0.8

To determine the value of slope of the model which predicts years of eductauoon from lifespan:

The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education

Hence,

(R² * 1/m)

0.48² * 1/0.8

0.2304 * 1.25

= 0.288

Answer:

54,750 days

you just multiply 150 by 365

Step-by-step explanation:

12 bottles = $6

1 bottle = 6/12

= $0.50 per bottle.

Hope it helps :)

From the given diagram, the pair of angles that are non-adjacent and supplementary are given as follows:

5. FGH

6. LJM

Hence, we need one angle among vertices E, F, G and H, and other with vertices K, J, L, M, N, P, to guarantee the non-adjacency. The angles are:

5. FGH

6. LJM

As:

124 + 56 = 180º, meaning that they are supplementary.

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