3. Draw a mapping diagram for S(n) that maps all the possible inputs and outputs for a player'sfirst turn. Note that the player should begin on square 1. (6 points: 3 points for the inputs andoutputs, and 3 points for the mapping)4. In the mapping diagram you created, what numbers are in the domain of S(n)? Explain whatthis means. (2 points: 1 point for the domain, 1 point for the explanation)5. What numbers are in the range of S(n)? Explain what this means. (2 points: 1 point for therange, 1 point for the explanation)

30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.

Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,

⇒ x + y = 60 ⇒ x = 60 - y ----(1),

Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,

⇒ 28% of x + 16% of y = 22% of 60

⇒ 0.28x + 0.16y = 0.22 × 60

⇒ 0.28x + 0.16y = 13.2

⇒ 28x + 16y = 1320

⇒ 14x + 8y = 660

From equation (1),

14(60-y) + 8y = 660

840 - 14y + 8y = 660

6y = 180

y = 30

Again from equation (1),

x = 60 - y

= 60 - 30

= 30

Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%

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Answer:

-----------------

Given system:

Add up the two equations to get same coefficient on both variables:

As we see none of the choices match the answer. It means either question or answer choices are inaccurate.

The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.

To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.

Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:

For car service A: y_A = 0.60x + 300 (in cents)

For car service B: y_B = 0.75x (in cents)

To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:

0.60x + 300 = 0.75x

Subtracting 0.60x from both sides:

300 = 0.15x

Dividing both sides by 0.15:

x = 300 / 0.15

x = 2000

Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:

y_A = 0.60(2000) + 300

y_A = 1200 + 300

y_A = 1500 cents or $15.00

So, when each car travels 2000 miles, the charges will be equal at $15.00.

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Answer:

Area = π(13^2) = 169π = 530.9 ft^2

Since 3.14 is used for π,

Area = 3.14(13^2) = 530.7 ft^2

Answer:

D. 2r2 + 23r > 645

Step-by-step explanation:

The equation "2r^2 + 23r > 645" represents the situation because it states that the number of spaces in the parking lot, represented by the left-hand side of the equation (2r^2 + 23r), is greater than the maximum number of spaces that the parking lot can hold (645). This is consistent with the information given in the problem, which states that the parking lot has been expanded and can now hold more spaces.

The other equations given (A, B, C) do not accurately represent the situation because they do not take into account the expansion of the parking lot and the addition of new rows and spaces.

Compounded continuosly we will use the formula :

A(t) = Pe ^rt

where P = $110 000

r = 8% = 0.08

t = 5 year

So ,

A(5) = 110000 e ^(0.08 * 5)

= 110 000e^0.4

= 164100.716

• This means that the continuos compound interest of $110 000 will amount to, $164100.72, after 5 years on 8 % interest.

Hey there!

y = -8x

→ -50 = -8(3)

→ -8(3) = -50

→ -8(3) = -24

→ -24 ≠ -50

Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)

Answer: NO

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Modeling this scenario with a system of equations using a linear function and a quadratic function yields the following:

y = 2(x - 4)² + 2.

5x + 11y = 62.

A quadratic function with vertex (h,k), may be represented by the equation:

y = a(x - h)² + k

Because the vertex of this issue is located at (4,2), we may deduce that h = 4 and k = 2, and the equation for this problem is as follows:

y = a(x - 4)² + 2.

Because it goes through the location characterized by its coordinates (5, 4), we may determine a by establishing that when x = 5, y = 4.

4 = a + 2.

a = 2.

Thus the equation is:

y = 2(x - 4)² + 2.

The slope, denoted by m, is the rate of change, or the degree to which y deviates from its initial value for each unit of x that is added.

The y-intercept, denoted by the letter b, is the value of the variable y when the variable x is equal to zero. It may also be construed as the beginning value of the function.

Because the road links the locations (–3, 7) and (8, 2), the slope may be calculated as follows:

m = (2 - 7)/(8 - (-3)) = -5/11.

Then:

y = -5/11x + b.

When x = 8, y = 2, hence we use it to find b as follows:

2 = -40/11 + b

b = 62/11.

Then the equation is:

y = -5/11x + 62/11.

5x + 11y = 62.

The system of equations is:

y = 2(x - 4)² + 2.

5x + 11y = 62.

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Answer:

a edge

Step-by-step explanation:

Answer:

option A

Step-by-step explanation:

Permutation is An arrangement of objects in an ORDER

but combination is the opposite.

Answer:

\(( \frac{3}{4} ) ^{3} \\ \frac{3 {}^{3} }{4 {}^{3} } \\ \frac{3 \times 3 \times 3}{4 \times 4 \times 4 } \\ \frac{27}{64} \)

Option 2 is the correct answer.

Answer:

\( \frac{27}{64} \)

Step-by-step explanation:

Here,

\( { (\frac{3}{4} )}^{3} \)

\( = \frac{3 \times 3 \times 3}{4 \times 4 \times 4} \)

\( = \frac{27}{64} \)

Hence,

2nd option is the correct answer.

Answer:

x= −1/95

Step-by-step explanation:

1. Subtract 110x from both sides.

15x + 8 − 110x = 110x + 9 − 110x

−95x + 8 = 9

2. Subtract 8 from both sides;

−95x + 8 − 8 = 9 − 8

−95x = 1

3. Divide both sides by -95;

x= −1/95

Answer:

10 x -6y = -76

-56 - 10x - y = -76

10x - 6y = -76 (-56) - (-76) = 20

-10 x -y = -20

10x - 6y = -76

-10x -y =-20

10x cancels

76 + 20 = 96

-7y = - 96

divide both sides by -7

y = 96/7

substitute into -10x - y = - 20

- 10x - 96/7 = - 20

96/7 is a fraction btw

= -10 x = - 20 + 96/7

-20 + 96/7

-10 x = -44/7

divide by - 10

x = 22/ 35 ( a fraction)

(x,y) = (22/ 35) ( 96/7)

so what I do is caunt or just add 7 +8 it will equal 15

The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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Answer:

42

Step-by-step explanation:

Answer:

What the answer

Step-by-step explanation:

Pls

Answer:

Reflect it across the Y axis then do a 90 degree CCW rotation.

Step-by-step explanation:

The expected value of x is (m+1)/2, and m must be a positive integer.

The expected value of x is the average value of x that we would expect to get if we selected an integer from the set {1, 2, ..., m} many times. To find the expected value of x, we multiply each possible value of x by its probability of being selected and then sum these products. In this case, each integer in the set {1, 2, ..., m} has an equal probability of being selected, so the expected value is (1 + 2 + ... + m) / m = (m(m+1)) / 2m = (m+1) / 2. So the expected value of x is (m+1)/2, and m must be a positive integer.

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We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

Cadence is flipping her coin 32 times

Step-by-step explanation:

So the fraction is 1/32 which means 32 is the number of times the coin was flipped.

°Given:

Required:

To find the reference angle of 105°.

Explanation:

Since the angle 105° is in the second quadrant, subtract 105° from 180°.

Final Answer:

The reference angle is 75°.

Answer:

Initial fee charged = $5

Fee charged for a mile = $1.25

No. of miles traveled = x

Total fee charged = 5 + 1.25x

Slope = 1.25

y-intercept = 5

Answer:

I helped you last time so I'll help you again.

Step-by-step explanation:

We can find the average rate of change of f(x) over the interval [10, 20] using the formula:

average rate of change = (f(b) - f(a))/(b - a)

where a = 10 and b = 20.

So, we have:

f(a) = f(10) = 1.85(10)^2 = 185

f(b) = f(20) = 1.85(20)^2 = 740

average rate of change = (740 - 185)/(20 - 10) ≈ 55.5

Therefore, the average rate of change of f(x) over the interval [10, 20] is approximately 55.5.

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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Answer:

Hello!

_____________________

You answer would be

-3-sided

-4-sided

-6-sided

Step-by-step explanation: 3 sided, 4 sided, and 6 sided or in other words, triangles, squares, and hexagons.

Hope this helped you!

:D

The regular polygons which can be used for regular tessellations are 3 sided, 4 sided, 6 sided.

If all the sides of the polygons are equal then it is known as regular polygons.

A regular tessellation is one made which is made by using only one regular polygon.

The form of polygon used to make regular tessellations is as under:

These can be used to form regular tessellations.

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The correct matches are:

-1: 0

-2: 0

X: 14/3

0: 0

6: Not used

= 2² + 2x - 5: Not used

To match the representations with their respective average rates of change, we need to calculate the average rate of change for each function over the interval (0, 3) and compare it to the given values.

Let's calculate the average rate of change for each function:

Function: 2² + 2x - 5

To find the average rate of change, we need to calculate the difference in function values divided by the difference in x-values:

Average rate of change = (f(3) - f(0)) / (3 - 0)

Average rate of change = ((2² + 2(3) - 5) - (2² + 2(0) - 5)) / 3

Average rate of change = (13 - (-1)) / 3

Average rate of change = 14 / 3

Match: X = 14/3

Function: -1

Since the function is constant, the average rate of change is 0.

Match: 0

Function: 2

Since the function is constant, the average rate of change is 0.

Match: 0

Function: 3

Since the function is constant, the average rate of change is 0.

Match: 0

Function: -2

Since the function is constant, the average rate of change is 0.

Match: 0

Function: -3

Since the function is constant, the average rate of change is 0.

Match: 0

Therefore, the correct matches are:

-1: 0

-2: 0

X: 14/3

0: 0

6: Not used

= 2² + 2x - 5: Not used

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Answer: x = √-6 - 4

Step-by-step explanation:

x^2+8x+22=0

(x+4)^2 - 16 + 22 = 0

(x+4)^2 + 6 = 0

(x+4)^2 = -6

√(x+4)^2 = √-6

x = √-6 - 4            

√6 = 2.449

a) triangle with measurement 1/2 of the original measurement.

b)  rhombus with measurement  2 times the original measurement.

c) parallelogram with measurement 1/4 of the  original measurement.

The polygon is 2- dimensional figure and is any closed curve made of continuous edges also called the sides without intersecting each other,  the corner of a  polygon is called the vertices, the are of basically two types regular and irregular, whereas The scale factor a polygon the ratio of one side of a polygon to the comparing side of the other is called the scale factor. The proportion of all parts of a polygon, including diagonals,  perimeter, and heights is the same as the proportion of the sides.

a) the given scale factor is 1/2  and, we need to construct a scale copy of the triangle having sides measurements 1/2 of the original measurements.

b) the new polygon must have the measurements 2 times the original measurements of the polygon .

c) the new polygon must have dimensions 1/4 of the dimensions of the original measurements.

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