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aivan3 [116]
3 years ago
10

maria is using 208 ounces of water to make some soup. Her recipe calls for 2 fluid ounces of olive oil for every 13 cups of wate

r. How much olive does she need with this recipe? There are 8 ounces in a cup. *
Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

4 oz

Step-by-step explanation:

there is 26 cups in 208 oz. so if there is 2 oz for every 13 cups there would be 4 oz of olive oil.

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Find the line integral of f(x, y) = y e^X^2 along the curve r(t) = 3t i - 4t J, -2 lessthanorequalto t lessthanorequalto -1. The
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\vec r(t)=3t\,\vec\imath-4t\,\vec\jmath

\implies\left\|\dfrac{\mathrm d\vec r(t)}{\mathrm dt}\right\|=\|3\,\vec\imath-4\,\vec\jmath\|=\sqrt{3^2+(-4)^2}=5

The line integral of f(x,y) along the curve C parameterized by \vec r(t) is

\displaystyle\int_Cf(x,y)\,\mathrm ds=\int_{-2}^{-1}f(3t,-4t)\left\|\dfrac{\mathrm d\vec r(t)}{\mathrm dt}\right\|\,\mathrm dt=-20\int_{-2}^{-1}te^{9t^2}\,\mathrm dt

Substitute u=9t^2 so that \mathrm du=18t\,\mathrm dt. Then

\displaystyle\int_Cf(x,y)\,\mathrm dS=-\frac{20}{18}\int_{36}^9e^u\,\mathrm du=\frac{10}9\int_9^{36}e^u\,\mathrm du=\boxed{\frac{10}9(e^{36}-e^9)}

8 0
4 years ago
A watercolor painting is 22 inches long by 8 inches wide. Ramon makes a border around the watercolor painting by making a mat th
Anuta_ua [19.1K]

Answer:

207 inches

Step-by-step explanation:

23*9=207

8 0
3 years ago
Read 2 more answers
The graph shows the taxi fare, y, in a city, for a distance of x kilometers.
diamong [38]

Answer: B. The total fare changes by $4 per kilometer, and it will cost $24 for a distance of 6 kilometers.

Step-by-step explanation:

3 0
3 years ago
A marketing research firm wishes to determine if the adult men in Laramie, Wyoming, would be interested in a new upscale men’s c
djverab [1.8K]

Answer:

The population of interest is composed by all mean that live in Laramie.

Step-by-step explanation:

Sampling

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

In this question:

Sample of 100 men from Laramie. This means that the population of interest is composed by all mean that live in Laramie.

3 0
3 years ago
The probability that a pharmaceutical firm will successfully develop a new drug that will return $750 million dollars is 0.14. O
algol [13]

Answer:

E(X) = 750*0.14 -100*0.86 = 19

So then the expected value in the long run for this case would be 19 millions

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete. And is defined as:

E(X) = \sum_{i=1}^n X_i P(X_i)

For i = 1,2,....,n

Solution to the problem

Let's define the random variable X as the expected return for a new drug.

For this case we expected a return of X=750 millions with a probability of 0.14. We assume that p is the probability of success for this case p =0.14.

And the probability of no success on this case would be q = 1-p = 1-0.14 =0.86. And the cost associated for this case would be X= -100 million

If we use the definition of expected value we have this:

E(X) = 750*0.14 -100*0.86 = 19

So then the expected value in the long run for this case would be 19 millions

8 0
4 years ago
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