Fiona is making alfredo sauce. She typically makes it by using 4 cups of heavy cream combined with 36 ounces of parmesan cheese.

How many cups of heavy cream does she need for every ounce of parmesan cheese?

Answer:

63

Step-by-step explanation:

9 * 7 = 63

Answer:

m∠1 = 106

Step-by-step explanation:

Given: m∠5 = 106

Vertical angles are congruent

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Therefore: m∠1 = 106

To begin solving this problem, we need to determine the dimensions of the rectangular region that the farmer will fence in. Let's say the length of thr uses, is given by the equation:
e rectangle is L and the width is W. The perimeter of the rectangle, which will be the length of fencing the farme
2L + W = 350

Solving for W, we get:

W = 350 - 2L

Next, we need to divide the rectangular region into three smaller rectangles by placing two parallel fences. Let's say the two fences are placed along the length of the rectangle, dividing it into three sections with widths of x, y, and z. Therefore, we have:

L = x + y + z

Now, we can determine the area of the entire fenced-in region by summing the areas of the three smaller rectangles. The area of a rectangle is given by the equation:

Area = Length x Width

Therefore, the total area of the fenced-in region is:

Area = (xW) + (yW) + (zW)

Substituting W = 350 - 2L and L = x + y + z, we get:

Area = (x(350-2(x+y+z))) + (y(350-2(x+y+z))) + (z(350-2(x+y+z)))

Simplifying this equation, we get:

Area = 350(x+y+z) - 2(x^2 + y^2 + z^2)

To maximize the area, we need to take the derivative of this equation with respect to one of the variables (x, y, or z), set it equal to zero, and solve for the variable. This process is too complicated to do by hand, so we will use a calculator or computer program to find the maximum area.

After finding the maximum area, we can determine the dimensions of the region that give us this maximum area. We do this by using the equations we derived earlier:

W = 350 - 2L

L = x + y + z

With the maximum area and these equations, we can solve for the dimensions of the region that give us the maximum area.

In summary, the farmer should fence in a rectangular region with dimensions that maximize the total area of three smaller rectangles created by placing two parallel fences. The maximum area can be found by taking the derivative of the area equation and setting it equal to zero. The dimensions of the region that give us the maximum area can be found by using the equations we derived earlier.

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Answer:

45

Step-by-step explanation:

x = -30/2(-5)

x = -30/(-10)

x = 3 sec

.

Plug above into equation to find height:

h=-5t^2 + 30t

h=-5*3^2 + 30(3)

h=-5*9 + 30(3)

h=-45 + 90

h=45

Answer:

Any graph that looks like the graph on the picture is the answer.

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

Answer:

C

Step-by-step explanation:

do that with pithagoras:

20² + 4,5² = x²

400 + 20,25 = x²

420,25 = x²

x = \(\sqrt{420,25}\)

x ~ 20,5

Letter C: 20,5 feet

The required length of the ladder is given as 20.5 feet. Option C is correct.

In a right-angled triangle, its side, such as the hypotenuse, is perpendicular, and the base is Pythagorean triplets.

Here,
The height of the building is 20 feet,
base length from the bottom of the building to the bottom of the ladder is 4.5 feet,
Let the hypotenuse length of the ladder be x,
Applying the Pythagoras theorem,
x² = 4.5² + 20²
x = √[420.25]
x = 20.5 feet

Thus, the required length of the ladder is given as 20.5 feet. Option C is correct.

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Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

1. The expression √b means "the square root of b".

2. The radical symbol (√) stands for the exponent 1/2.

3. The number or expression under the radical symbol is called the radicand.

A radicand is the number or expression underneath a radical symbol (√). It is the number or expression that is being operated on by the root. The square root of the radicand is the result of the operation.

The expression √6 represents the square root of 6. This is the value of x that, when multiplied with itself, results in 6.

The square root of 6 is equal to 2.44948974, which is the positive solution to the equation x² = 6.

The radical symbol (√) indicates that the expression is a root and the number or expression under the radical symbol is called the radicand, which is 6 in this case.

The exponent of the radical symbol is 1/2, which implies that the expression is a square root.

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Answer: 81 is the answer but it says what scores so you might be able to put 81 and above for example 82 83 84 and so on.

Step-by-step explanation:

If you add 91 93 and 95 you should get 279 then subtract 279 from 360 which will get u the answer which is 81 simple right now please giva a thanks like and rating if you found this helpful.

By evaluating an exponential equation, we will see that the population after 189 hours will be 888 bacteria.

We know that initially we have a total of 100 bacteria, and it doubles in size every 60 hours, then the population can be modeled with the exponential equation.

p(x) = 100*(2)^x

Where x is groups of 60 hours, we can rewrite:

x = t/60h

Where t is the amount of hours, and rewrite the equation as:

p(t) = 100*(2)^(t/60h)

The population in 189 hours from now willbe:

p(189 h) = 100*(2)^(198 h/60h) = 887.7

The population is 888 (where we rounded the value)

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Answer:

B. 4x+5

Step-by-step explanation:

First, you multiply both sides by 4, then you have x=y-5. You then add 5 to get 4x+5

(in the very beginning, you switch the x and y so you would have to make the equation x= y-5 / 4 if that confused you)

An isotope with z > 83, which lies close to the band of stability, will generally decay through decay.

Therefore, an isotope with z > 83, which lies close to the band of stability, will generally decay through decay.

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Answer: It's the same process to get the variable by itself. But once found depending on how you are required to represent the solution, the final answer may vary. You need to also keep in mind that with negatives when multiplying and dividing you have to flip the inequality sign.

Step-by-step explanation:

Ex. 2x>4

x>2

but if

-2x>4

x<-2

Hello!

1/6 ≈ 0.167

the answer is 0.167

the inequality model will be x+2y<19

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

x + y > 11

.05x + .10y < .95

by multiplying 20 in inequality we get x+2y<19

Hence, the inequality model will be x+2y<19

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A discrete random variable, x, represents the total number of motorbike accidents that occurred in California for a given year. Correct option is A.

A discrete random variable has gaps between each of its countable possible values. Since motorcycle accidents are discrete occurrences that can be counted, the total number of motorcycle accidents in this situation can only be a non-negative whole integer (0, 1, 2, 3,...).

On the other hand, continuous random variables can have an endless number of values inside a range or interval. They often reflect quantities like height, weight, or time, which can all fall within a certain range of values.

Motorcycle accidents have a variable x that can only take on whole numbers (e.g., 1.5 accidents), thus fractional or non-integer values for the number of accidents are meaningless. The random variable x is therefore regarded as discrete.

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Answer:

3n-10

Step-by-step explanation:

n is the number it could be any other letter

hope this helps :)

Answer:

5376 cubic inches

Step-by-step explanation:

12x24x17=4896

10x4x12=480

480+4896=5376

Given:

Given a triangle.

Required:

To find the remote interior angles of angle 1.

Explanation:

Remote interior angles are angles that don't share a vertex or corner of a triangle with the exterior angle.

Here the remote interior angles of angle 1 are

Final Answer:

Option C and F are correct.

Answer:

\(4x^2+6x-3\)

Step-by-step explanation:

"/" substitutes the normal division symbol

                  \(4x^2\) \(+6x\) \(-3\)

         ______________

\(x-2/4x^3-2x^2-15x+6\)

         \(4x^3\) \(-8x^2\)

______________________

                 \(6x^2\)  \(-12x\)

______________________

                         \(-3x+6\)

x multiplied by what equals \(4x^3\)? \(x(4x^2)=4x^3\), so the first number that goes on top is \(4x^2\). Multiply x by \(4x^2\) and put it below to the \(4x^3\) on the first row. Multiply x-2 by \(4x^2\) and put it below  the \(-2x^2\) . Subtract the first row from the second row.

x multiplied by what equals \(6x^2\)? \(6x\). Repeat the same process as before except with \(6x^2\)

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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Answer:

1 = false

2 = true

3 = false

4 = false

The equation on solving by factoring method yields no solution.

In this question,

A no solution equation is also known as contradiction. This type of equation is never true, no matter what we replace the variable with. There is no value that will ever satisfy this type of equation.

The equation is -(3z+4)=6z-3(3z+2)

Solving the equation by factoring gives,

⇒ -(3z+4) = 6z-3(3z+2)

By distributive property,

⇒ -3z - 4 = 6z - 3(3z) - 3(2)

⇒ -3z - 4 = 6z - 9z - 6

⇒  -3z - 4 = -3z - 6

On rearranging the equation,

⇒ -3z + 3z = -6 + 4

⇒ 0 = -2

Here LHS is not equal to RHS. Thus the equation on solving by factoring method yields no solution.

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Answer: A,C,D

Step-by-step explanation:

Answer:

pretty sure it's a, c, and d

Step-by-step explanation:

polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.

Step-by-step explanation:

part A

all listed features (A - F) are correct and to be selected.

part B

the average rate of change is

(f(x2) - f(x1)) / (x2 - x1)

so,

(f(0) - f(-2)) / (0 - -2) = (2 - 0) / (0 + 2) = 2/2 = 1

Being in the 78th percentile is a positive result, and Li should feel pleased and satisfied with her salary.

Yes, Li should be pleased with her salary. Being in the 78th percentile means that Li's salary is higher than 78% of the salaries reported in the survey. In other words, the majority of recent college graduates earn a lower salary than Li does. This is a positive outcome and indicates that Li is earning more than a significant portion of her peers.

Being in a higher percentile suggests that Li's salary is above average and reflects her market value and the demand for her skills and qualifications. It indicates that she is likely being compensated fairly for her education, experience, and the value she brings to her employer. This can be seen as a validation of her hard work, dedication, and successful entry into the job market.

Moreover, being in the 78th percentile also implies that Li has a higher income relative to a large proportion of individuals her age, which can provide financial stability and opportunities for personal and professional growth.

Overall, being in the 78th percentile is a positive result, and Li should feel pleased and satisfied with her salary.

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Answer:

2. Anisa gets paid $12 per hour describes a rate.

Step-by-step explanation:

A rate is something that says (something) per (something.) For example, the cheetah ran 240 miles per minute is considered a rate.

Rates usually end with one, since they say that (something) every 1 (minute, hour, etc.) whether it's a place or thing.

Hope this helps! :)

Answer:

A.)

B.)

Answer:

5x-2

Step-by-step explanation:

2x+3x=5x

5-7=-2

Answer:

5x+-2

Step-by-step explanation:

(2x+5) + (3x-7)

2x+3x=5x

5-7=-2

5x-2

Answer:

Step-by-step explanation:

3v + u + 66 = 360

Subtract 66 from 366

3v + u = 294

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