Jade earned $20 for walking 4 dogs. If the ratio of money earned to dogs walked is constant, how many more dogs will she need to walk to earn a total of $100?

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

Answer:

2nd graph from the top

Step-by-step explanation:

We can rewrite the inequality as n < -3

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

Step-by-step explanation:

Look at each coordinate (or dot), move them each 5 times to the right and 1 up. Please look at the image I drew for reference. I hope it helps! Cheers!

If m and n are parallel then the corresponding angles are equal.

Here, the angles made by the line m and transversal is 113 and 67 degree.

Also, the angles made by the line n and transversal is 110 and 70 degree.

Here, corresponding angles are not equal,

That is, 113 is not equal to 110 and 67 is not equal to 70.

Therefore, lines m and n are not parallel.

Answer:

(7, 10)

Step-by-step explanation:

The vector has an x component of 5 and a y component of 7, so we can add each of these components to the coordinates of B to get its image:

B(2,3)

B'(2 + 5, 3 + 7) = B'(7, 10)

The image will be located at (7, 10).

Vectors, in Maths, exist as objects which have both, magnitude and direction. Magnitude determines the size of the vector. It exists described by a line with an arrow, where the length of the line exists the magnitude of the vector and the arrow displays the direction.

The vector has an x component of 5 and a y component of 7, so we can add each of these components to the coordinates of B to get its image:

B(2,3)

B'(2 + 5, 3 + 7) = B'(7, 10)

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The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

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Answer:

\(\frac{20}{9}\) or \(2 \frac{2}{9}\)

Answer:

the correct answer is A. 25 sandwiches.

Step-by-step explanation:

Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.

Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.

So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.

Therefore, the correct answer is A. 25 sandwiches.

Answer: 25

Step-by-step explanation:

We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.

2+2...=50

Answer:

44m^2

I am attaching the work below.

The maximum and minimum values of the function is solved

Given data ,

We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.

y = (sin x)³ - (sin x)⁶

y' = 3(sin x)² cos x - 6(sin x)⁵ cos x

Setting y' equal to zero:

0 = 3(sin x)² cos x - 6(sin x)⁵ cos x

0 = 3(sin x)² cos x (1 - 2(sin x)³)

sin x = 0 or (sin x)³ = 1/2

If sin x = 0, then x = kπ for any integer k.

If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.

To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.

y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x

y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)

For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.

For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.

Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3

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Answer:

Step-by-step explanation:

You want the maximum and minimum values of the function ...

  y = sin³(x) -sin⁶(x)

When we substitute sin³(x) = z, we have the quadratic expression ...

  y = z -z² . . . . . a quadratic function

Adding and subtracting 1/4, we can put this in vertex form:

  y = -(z -1/2)² +1/4

This version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.

The maximum value of y is 1/4.

The sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...

  y = (-1) -(-1)² = -1 -1 = -2

The minimum value of y is -2.

__

Additional comment

The range of y is confirmed by a graphing calculator.

<95141404393>

Roman Rounds normally charges $18 for a large pizza.

What is the equation in one variable?

An equation in one variable is a mathematical statement that uses one variable and an equal sign to relate two expressions. The variable in the equation represents an unknown value, and the goal is often to find the value of the variable that makes the equation true.

Let's use p to represent the normal price of each large pizza charged by Roman Rounds.

Since the price of each pizza was reduced by $2 for the bulk order, the amount Mr. Mosley paid for 12 large pizzas is:

12(p - 2) = $192

We can simplify this equation by first distributing the 12 on the left side:

12p - 24 = $192

Then, we can isolate the variable p on one side of the equation by adding 24 to both sides:

12p = $216

Finally, we can solve for p by dividing both sides by 12:

p = $18

Therefore, Roman Rounds normally charges $18 for a large pizza.

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Answer:

1:3

Step-by-step explanation:

4 and 12- 4 divided by 4 is 1 and 12 divided by 4 is 3

Answer:

20 hours

Step-by-step explanation:

Given:

The current week hour wage is 8579

Total payroll =14081.

The hourly wage will be increased 8 %.

The 8% of 8579 is

The hourly wage will be increased by 686 next week.

The total payroll also will be increased by 686.

So the total Payroll Variance from the current week to next week is 686.

Hence option D is correct.

Step-by-step explanation:

first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).

the blue colored area is the area of the whole square minus the area of the circle.

the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.

so, the area of the square is

24² = 576 units²

the are of the circle is

pi×r² = pi×12² = 144pi units²

so, the blue area is

576 - 144pi = 123.6106579... ≈ 124 units²

therefore, D is the right answer.

In response to the given question, we have that Therefore, on Tuesday, equation the yield was 2.92%, and on Monday, it was 2.96%.

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements. For instance, in the equation 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14.

Divide the yearly dividend by the share price to determine the yield, then multiply the result by 100 to get the percentage:

Tuesday's yield is calculated as (Annual dividend / Share Price) times 100.

Tuesday's yield is calculated as ($2.10 / $72) times 100, which is 2.92%.

Tuesday's closing price minus Monday's closing price is the difference.

The price on Monday was $72 minus $0.95.

$71.05 was the final price on Monday.

We apply the same procedure as previously to determine the yield as of Monday's close:

Monday's yield is calculated as (annual dividend / share price) x 100.

Yield on Monday is equal to ($2.10 / $71.05) times 100, or 2.96%.

Therefore, on Tuesday, the yield was 2.92%, and on Monday, it was 2.96%.

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Answer: 5.50

Step-by-step explanation:

Answer:

If the car depreciates each year by the same amount, it will depreciate yearly by $2650 dollars

Step-by-step explanation:

The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.

Let j represent Jayda's age.

Since Jayda is older than her 12-year-old sister, we can write the inequality:

j > 12

Thus, the inequality states that Jayda's age (j) is greater than 12.

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Answer:

12

Step-by-step explanation:

equation is 4P2

answer would be 12

The required linear regression equation is A y = -0.58x + 0.53. Option A is correct.

A regression line is a straight line that summarizes the relationship between two variables in a data set. It is also known as a line of best fit, because it is used to predict the value of one variable based on the value of another variable.

Here,
To find the linear regression equation for the given points, we can use the method of least squares. This involves finding the equation of the line that minimizes the sum of the squared differences between the actual y-values and the predicted y-values on the line.

Using this method, we find that the linear regression equation for the points is,

y = -0.58x + 0.53

Therefore, the correct answer is A: y = -0.58x + 0.53.

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Answer:

7/10

this should work

Step-by-step explanation:

Answer:

100 minutes or 1 hour and 40 minutes

Step-by-step explanation:

3 miles in 30 minutes means 1 mile in 10 minutes

10 miles takes 100 minutes or 1 hour and 40 minutes.

1 hour and 40 minutes

Answer:

a). 16, 25, 36, 49, 64

b). ???

Step-by-step explanation:

16 + 9 = 25

25 + 11 = 36

36 + 13 = 49

49 + 15 = 64

I don't think b is possible

Answer:

15 children can divide them with eachother, each get 2 sweaters and 3 trousers

Step-by-step explanation:

15×2=30

15×3=45

A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point X (0, 4)  →  Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3)  →  Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

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Answer:

C

Step-by-step explanation:

Taking your own heart rate is the most inexpensive, but it is also accurate if you can measure it correctly.

Answer:

cross multiple

17×f=34×7

17f/17=578/17

f=34

The table which  represents a quadratic relationship is in option \(D\).

A quadratic relationship is a mathematical relation between two variables that follows the form of a quadratic equation.

Quadratic sequence \(=an^2 +bn+c\)

So, According to the definition mentioned above if table follows the  form of a quadratic equation then it is in quadratic relationship.

So,

To find out quadratic relationship,

We will find first difference in every table and then second difference (Second difference is the difference between the first difference).

We have,

Table A;

\(\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &4&2-4=-2\\-1& &2&1-2=-1&-1+2=1\\0& \ &1&0.5-1=-0.5&-0.5+1=0.5\\1& &0.5&0.25-0.5=-0.25&-0.25+0.5=0.25\\2& &0.25&0.125-0.25=-0.125\\3& &0.125\end{array}\right\)

So, In the above table we can see that second difference  is not equal that means it is not in quadratic relationship.

Now,

Let Table D;

\(\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &-23.4&\\-1& &-23.2&-23.2+23.4=-0.2&0.2-0.2=0\\0& \ &-23&-23+23.2=-0.2&0.2-0.2=0\\1& &-22.8&-22.8+23=-0.2&0.2-0.2=0\\2& &-22.6&-22.6+22.8=-0.2\\3& &-22.4&-22.4+22.6=-0.2\end{array}\right\)

So, here in this table, we can see that second difference  is equal that means it is in quadratic relationship.

Hence, we can say that the table which  represents a quadratic relationship is in option \(D\).

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