Find a vector function that represents the curve of intersection of the two surfaces. the cylinder x 2 y 2 = 4 and the surface z = xy. r(t) = 2cos(t) i j k

The combination of entrees and desserts that the restaurant serve will be:

A. The restaurant could serve 40 entrees and 25 deserts.

E. The restaurant could serve 64 entrees and 40 deserts.

The word problem in mathematics refers to a question that is written as a sentence which requires an individual to use his or her mathematics knowledge.

In this case, the local restaurant serves 8 entrees for every 5 desserts.

In this case it should be noted that:

40 / 25 = 8 / 5

64 / 40 = 8 / 5

The correct options are A and E.

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answer:

answer:1/8

answer:1/8explanation :

answer:1/8explanation :0.125 as a fraction in simplest form is 1/8

answer:1/8explanation :0.125 as a fraction in simplest form is 1/8Step 2: Find the HCF or the highest common factor of 125 and 1000.

answer:1/8explanation :0.125 as a fraction in simplest form is 1/8Step 2: Find the HCF or the highest common factor of 125 and 1000.hope this helped.

Using average to predict the population in 1820, the population is 10 million people

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

Population in 1810 = 7 million people

Population in 1830 = 13 million people

Using average, we have

Population in 1820 = 1/2 * (7 million people + 13 million people )

Evaluate

Population in 1820 = 10 million people

Hence, the population in 1820 is 10 million people

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The 50 students are an example of a sample population

A sample is a subset of a population that is used to represent the entire population. In this case, the 50 students who received the questionnaire are a sample of the population of students on the university campus. The results of the questionnaire would be used to make inferences about the satisfaction of the entire student population with the financial aid office on campus. The importance of the sample lies in the fact that it allows researchers to make inferences about a larger population based on a smaller, more manageable group of individuals. This is done by selecting a sample that is representative of the population of interest.

By studying a sample, researchers can make predictions about the characteristics of the larger population, such as the percentage of students who are satisfied with the financial aid office on campus. This can be done with a high degree of accuracy if the sample is chosen and analyzed properly. Additionally, studying a sample can also be much more cost-effective and time-efficient than studying the entire population. However, it's important to keep in mind that the sample may not be perfectly representative of the population and it may introduce some errors, called sampling errors, in the inferences made about the population.

So, 50 students as an example of a population sample to fill out the questionnaire.

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As per the query, we have to find a number which is divided by 8 that answers 27, i.e., quotient is 27, and remainder is 4. The number is 220.

In this case, we used it to find the number that was divided by 8 and gave a quotient of 27 and a remainder of 4. As we know the rule:

Dividend = Divisor × Quotient + Remainder

x = 8 × 27 + 4 x = 216 + 4 x = 220.

Hence, the number is 220.

The formula I used is called the division algorithm. It’s a way to divide two numbers and get a quotient and remainder. We can use this formula to solve other division problems with remainders as well.

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The coordinates of the point P that partitions the line segment joining A and B in a ratio of 1:2 are (-4,-4).

To find the coordinates of the point on the directed line segment from (-8, 8) to (-2,-10) that partitions the segment into a ratio of 1 to 2, we will use the formula for dividing a line segment internally in a given ratio.

The formula for finding the coordinates of the point on a line segment joining two points A(x1,y1) and B(x2,y2) that partitions the segment into a ratio of m:n (where m+n = k) is: \($((mx_2+nx_1)/k, (my_2+ny_1)/k)$\)where k is the sum of the ratio m:n.In this problem, A = (-8, 8) and B = (-2,-10).

We need to find the point P that divides the segment AB into a ratio of 1:2. So, we have m=1 and n=2. Therefore, k=1+2=3.Substituting these values in the formula, we get:\($(\frac{2*(-2)+1*(-8)}{3}, \frac{2*(-10)+1*8}{3})$\)Simplifying the above expression, we get\(:$(\frac{-4-8}{3}, \frac{-20+8}{3})$$(\frac{-12}{3}, \frac{-12}{3})$$( -4, -4)$.\).

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Based on the graph,

     f(x) = 1/2x+3

    g(x) = -x+4

so, h(x) = -1/2 x +7

Since h'(x) is the derivative or slope of h(x) and h is a line,

h'(x) = -1/2, Answer C.

The required value for h'(x) is -0.5

The standard form of the equation of a line is expressed as;

y = mx+ b where:

From the graph shown:

f(x) = 0.5x+3  

 g(x) = -x+4

Taking the sum:

h(x) = f(x) + g(x)

h(x) = 0.5x + 3 - x + 4

h(x) = -0.5x + 7

Find the derivative:

h'(x) = -0.5

hence the required value for h'(x) is -0.5

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The probability that the mean weight of the sample babies would be less than 4068 grams is 0.8666.

We have mean weight as 4022grams,and standard deviation as 266 grams.

We need to check mean weight of the sample will be less than 4068 grams.

It means that on left side mean range is=4022-4068=-46,and

right side mean range =4022+4068=8090

So, we need to find the probability if mean range varies in between from -46 to 8090.

So, we use z-score table to find the z-score for -46 and 8090,we get

We use Z-formula which is given by

Z = (X-μ)/SE

where X is the standard mean.

Using the Z-score table, we get

Z = 0.16917 and -0.161917

Using z-score table, we get that P(0.16917)=0.4333.

Since, both of the probability occupies same space area, due to that total probability =0.4333×2=0.8666

Hence, the probability will be 0.8666.

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The true statement is, Parameter values can be used within the method code block. (option e).

In computer programming, methods are used to group a set of instructions together that can be executed repeatedly. Parameters are used to pass values to a method so that the method can perform specific actions based on the values passed. Let's discuss the given statements one by one to determine which ones are true.

Parameter values can be used within the method code block.

This statement is true. Parameter values can be used within the method code block to perform specific actions. The parameter values can be manipulated or combined with other values to produce the desired result.

In summary, methods can be written with any number of parameters, and parameter values can be used within the method code block to perform specific actions. The number of parameters needed will depend on the specific task the method is designed to perform.

Hence the option (e) is correct.

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Answer: 150?

Step-by-step explanation:

Answer:

Ann = 112.5 and Annie = 157.5

Step-by-step explanation:

7-5 = 2

One share = 45/2 = 22.50

Ann = 22.5 x 5 = 112.50

Annie = 22.5 x 7 = 157.50

You can check this is correct my subtracting them from each other and confirming that Annie has 45 more dollars than ann

Hope this helps!!

The production level that maximizes profit is x = 725 units.

A more detailed explanation of the answer.

To find the production level that maximizes profit, we need to find the level of x where the difference between the revenue function, R(x), and the cost function, C(x), is maximized.

Given the cost function C(x) = 1400 + 290x + 0.4x² and the demand function p(x) = 870, we first need to find the revenue function. Revenue is calculated by multiplying the price function p(x) by the quantity x.

1. Determine the revenue function R(x):
R(x) = p(x) * x
R(x) = 870x

2. Calculate the profit function P(x):
P(x) = R(x) - C(x)
P(x) = 870x - (1400 + 290x + 0.4x²)

3. Simplify the profit function:
P(x) = 580x - 0.4x² - 1400

4. To maximize the profit, find the first derivative of P(x) with respect to x, and set it to zero:
dP(x)/dx = 580 - 0.8x

5. Set the first derivative to zero and solve for x:
580 - 0.8x = 0
0.8x = 580
x = 725

So the production level that maximizes profit is x = 725 units.

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.

To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.

A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.

Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.

The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.

Here's an example:

Consider the quadratic equation y = 2x² - 4x + 3.

1. Identify the coefficients:

a = 2

b = -4

c = 3

2. Find the x-coordinate of the vertex:

x = -(-4) / (2 * 2) = 4 / 4 = 1

3. Substitute x = 1 back into the equation to find the y-coordinate:

y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.

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The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.

To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.

The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).

Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.

Let's take an example to illustrate this process:

Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.

Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.

Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.

Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.

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Answer:

x = 121°

Step-by-step explanation:

The measures of two of the triangle's interior angles are:

180° - 115° = 65°

360° - 304° = 56°

We then have:

180° - (65° + 56°) = 180° - 121° = 59°

So x = 121°.

Answer:

x = 121°

Step-by-step explanation:

The sun of all angles in a triangle is 180°

Since a circle has 360°, and 360 - 304 = 56, 56° is the top angle.

Since a striaght line has 180°, and 180 - 115 = 65, 65° is the left angle.

And since 180° - (56° + 65°) = 59°, 59° is the last angle.

But since x is on the outside, you have to subtract 180° from 59°, because they lie on a straight line. 180° - 59° = 121°.

Answer:

for the chips she spent $5.15 and for the apple juice she spent $6.11

Step-by-step explanation:

1.86*3=5.58

5.58-0.43=5.15

3.27*2=6.54

6.54-0.43=6.11

The option (D) some substances must dissolve into water to move into and out of a cell​ is not a result of water being a polar molecule

The water molecules contains

The oxygen atoms have a slight negative charge, while the hydrogen atoms have a slight positive charge.

Because of the opposite charges in water (i.e. negative charge in oxygen and positive charge in hydrogen), the water molecules stick and stay together.

Hence. option (D) is not a result of water being a polar molecule

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Answer:I believe the answer is A.

Step-by-step explanation:

0.05 x 51.00 = 2.55

2.55 + 51.00= 53.55

Answer:

a and d

Step-by-step explanation:

Answer:

a)cross-sectional correlation

Step-by-step explanation:

a test to see whether two variables, measured at the same point in time, are correlated is known as a cross-sectional correlation test

A longitudinal study is a research design that involves repeated observations of the same variables over long periods of time

and so on

Answer:

2.85

Step-by-step explanation:

just do 0.89 times 3.2

She uses 1/2 quart of yellow paint for every 9/2 quarts of blue paint. Then, she uses 1/2 quart of yellow paint for every 1/2 + 9/2 = 10/2 = 5 quart of paint.

We can use the next proportion:

Solving for x:

She uses 1/10 quart of yellow paint for every quart of paint

Answer:

36.5625

Step-by-step explanation:

so, if it decays at a rate of 7.5% every 2 days, and we have 234 hours, we do the following, 234/24, since there are 24 hours in a day, that gives us 9.75, "7.5% every 2 days" so we do this, 9.75/2 = 4.875

4.875 * 7.5 = 36.5625

i migt be wrong, but i'm pretty sure this is the answer, i'm not saying this is the answer like some people do, please let me know if i'm wrong.

Answer:

3897.77

Step-by-step explanation:

Decays 7.5%→r=0.075 (divide by 100)

Decays every 2 days: exponent of  t/2

(where t is in days)

function- f(t)=5700(1−0.075) ^t/2

234 hours→234/24→9.75 days

Plug in t=9.75

f(9.75)=5700(1−0.075)  ^9.75/2

3897.76635734  

≈3897.77

Answer:

NL = 6

Step-by-step explanation:

LK × LS = LM × LN

3 × (3 + x - 5) = 4 × (4 + x - 8)

3 × (x - 2) = 4 × (x - 4)

3x - 6 = 4x - 16

-x = -10

x = 10

NL = x - 8 + 4 = 10 - 8 + 4 = 6

Answer: NL = 6