At Yogurt Express they charge $0.17 per ounce for yogurt and toppings. Maria pays $2.04 for her yogurt. How many ounces of yogurt and toppings did Maria get?

Answer:

The range of the function is: -∞≤y≤∞.

Consider the provided function.

The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.

The range of a cubic root function is all real numbers.

Now consider the provided function.

The above function can be written as:

Taking cube on both sides.

The graph of the function is shown in figure 1:

For any value of x we can find different value of y.

Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is  -∞≤y≤∞ .

Therefore, the range of the function is: -∞≤y≤∞ (A).

Step-by-step explanation:

1. By assigning women at random. It would make these 2 groups comparable abc the result from the research or investigation would be more useful and valid. It is very important that there are two comparable groups.

2. A control group is useful in comparing both groups. It would help us to check if there's really an effect or if there is none. If all women were in in art group then all would likely make improvements and there would be no means of verifying this.

Answer:

0.62kg or 620g.

Step-by-step explanation:

If there are 25 newspapers in a stack that weighs 15.5kg, 15.5 divided by 25 would give you the weight of one newspaper, which is 0.62kg.

To convert kilograms to grams:

0.62kg x 1000 = 620g

Answer:

0.62 kg

Step-by-step explanation:

25 newspaper = 15.5kg

1  newspaper = ? Y

cress cross

25 newspaper Y = 15.5 kg × 1 newspaper

25 newspaper         25 newspaper

Y = 15.5 kg

     25

Y = 0.62 kg

The calculated value of the probability of B is (c) 0.25

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

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

msec = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

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Answer:

Step-by-step explanation:

39.8 - 32.2 = 7.6

Range is subtracting the highest and lowest numbers by each other .

Based on the calculations, the range for this data set is equal to 7.6.

In Mathematics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.

Mathematically, range is calculated by using this formula;

Range = Highest number - Lowest number

From the given data set, we have:

Substituting the given parameters into the formula, we have;

Range = 39.8 - 32.2

Range = 7.6.

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Answer:

700 i think-

Step-by-step explanation:

Answer:

Ummm Linear? Up 2 Over 4

Step-by-step explanation:

Answer:

There are 6 rock songs on Fernando's road trip playlist.

Step-by-step explanation:

Given that he keeps the ratio same

This means that the ratios for both summer playlist and trip playlist will be the same

Let

c1 be the country songs in summer playlist

r1 be the rock songs in trip playlist

Similarly,

c2,r2 will be the country and rock songs in trip playlist

Both will be equal so

\(\frac{c_1}{r_1} = \frac{c_2}{r_2}\)

Putting the values

\(\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6\)

Hence,

There are 6 rock songs on Fernando's road trip playlist.

Answer:

6 songs

Step-by-step explanation:  

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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Answer: the slope is y=-1/2

Step-by-step explanation:

because the line is moving from left to right, it is a negative slope

Step-by-step explanation:

Speed = Distance÷Time

so

502.3÷125.803= 3.99275057

100:2=50 r 0

50:2=25 r 0

25:2=12 r 1

12:2=6 r 0

6:2=3 r 0

3:2=1 r 1

1:2 =0 r 1

\(\bf 100_{10}=1100100_{2}\)

Answer:

Differentiation is concerned with things like speeds and accelerations, slopes and curves ect. These are Rates of Change, they are things that are defined locally. The Fundamental Theorem of Calculus is that Integration and Differentiation are the inverse of each other.

The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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Answer:

19/1

Step-by-step explanation:

Hi,

Any whole number written as a fraction is simply that number over one :)

If you were to write 80 as a fraction, it would be 80/1.

And so on...

I hope this helps <3

Answer:

Step-by-step explanation:

If f(x) is an even function, that means it has symmetry across the y-axis. In other words, if (a,b) is a point on the graph of f(x), then (-a,b) must also be on the graph.

We are given that f(2) = -5. Since 2 is a positive number, we know that (-2) is the corresponding negative value that also lies on the y-axis. Therefore, we can say that f(-2) = f(2) = -5.

So, the other point that must be on the graph of f(x) is (-2,-5).

Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.

The first digit to the right of the decimal point indicates the number of tenths. For example, the decimal 0.3 is the same as the fraction 3/10. 

Answer: A. I and II contradict each other because in a right triangle, the measure of angle A is 90 degrees, not 41 degrees.

The quotient of 258 divided by 4 is calculated to be 64.5

Division is considered to be one of the four basic operations of arithmetic. The other three are multiplication, addition, and subtraction, and they can be defined as how numbers are combined to make new numbers.

Out of the four basic operations, division is the process of splitting an amount or a number into equal parts.

In division, the numerator is the top number of a fraction, and on the other hand, the denominator is the bottom number of a fraction and the result of division is called the quotient

In this case, 258 is the numerator and 4 is the denominator;

258 / 4 = 64.5

Therefore the quotient of this division is calculated to be 64.5

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Answer:

n = 20

Step-by-step explanation:

Since the triangles are similar, we can create a common proportion.

\(\frac{15}{12} =\frac{n}{16}\)

Now you have to solve this proportion

Start by cross multiplying, and you get 12n = 240

Divide both sides by 12, and you get n = 20.

Hope this helped

Hey there!

The answer to your question is n = 20

Since they are similar, we can use proportions:

12/15 = 16/n

Then we can use cross products:

15 x 16 = 12n

140 = 12n

20 = n

Hope it helps! Have an amazing day!

Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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Answer:

b

Step-by-step explanation:

The immediate effect on the money supply when the Federal Reserve sells $50,000 in Treasury bonds to a bank at 8% interest is that It is decreased by $50,000.

Option A is the correct answer.

We have,

When the Federal Reserve sells Treasury bonds to a bank, it takes money out of the banking system.

The concept used in this scenario is the Open Market Operations (OMO) conducted by the central bank, which in this case is the Federal Reserve.

Open Market Operations refer to the buying and selling of government securities, such as Treasury bonds, by the central bank in the open market.

The bank pays $50,000 to the Federal Reserve to purchase the bonds, and this money is removed from the money supply, leading to a decrease in the overall money supply in the economy.

Thus,

The immediate effect on the money supply is:

A. It is decreased by $50,000.

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Two complementary angles add up to 90 degrees.

Two supplementary angles add up to 180 degrees.

• To find the complement of an angle A, we subtract A from 90, or

• To find the supplement of an angle B, we subtract B from 180, or

Now,

We are given the angle 76°.

Let's use the formula/rule to find the complement and supplement of this angle.

A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.

Given:

Length of the rectangular floor = 14 ft

Width of the rectangular floor = 6 ft

Edge length of square tile = 3/4 ft

First, let's calculate the number of tiles that can fit horizontally:

Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft

Since we want a whole number of tiles, we need to round down or take the floor value:

Number of tiles horizontally = floor(56/3) = 18 tiles

Next, let's calculate the number of tiles that can fit vertically:

Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft

Again, we round down or take the floor value:

Number of tiles vertically = floor(24/3) = 8 tiles

To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:

Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles

Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

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In order to a relation be a function, each value of x in the set of points can have only one corresponding value of y in the set.

For example, a relation with the points (1, 2) and (1, 3) is not a function, because the x-value 1 has two different values of y (2 and 3), and in order to be a function, a value of x can have only one corresponding value of y.

Looking at set A, each value of x (-5, -2, 2 and 5) have only one corresponding value of y, so set A is a function.

Looking at set B, the value of x = 5 has two different values of y (-2 and 2), so this set is not a function.

The answers are:

27. P(6) = 0.2 , 28. P(even number) = 0.6 , 29. P(6) = 1/10 , 30. P(even number) = 5/10 = 0.5

The experimental probability of getting a 6 is 0.2, because 2 out of 50 displays were 6s.

The experimental probability of getting an even number is 0.6, because 30 out of 50 displays were even numbers.

The theoretical probability of getting a 6 is 1/10, because there is 1 chance out of 10 that the calculator will display a 6.

The theoretical probability of getting an even number is 5/10, because there are 5 chances out of 10 that the calculator will display an even number.

As you can see, the experimental probabilities are close to the theoretical probabilities. This is because the calculator was programmed to randomly display a digit from 0 to 9, so the results should be evenly distributed. However, there is always some chance of variation, so the experimental probabilities may not be exactly equal to the theoretical probabilities.

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