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Dmitry_Shevchenko [17]
2 years ago
8

A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the

domain of P
Mathematics
1 answer:
svp [43]2 years ago
3 0
A rectangle is a two-dimensional shape with two sets of equal, parallel sides. These dimensions are the length (L) and the width (W). The formula for the rectangle's area is the product of the two dimensions. The formula for perimeter is

P = 2L + 2W

Since
A = LW = 64
W = 64/L
Substituting to the formula for perimeter would be,

P = 2L + 2(64/L)
P = 2L + 128/L
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The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the ibuprofen was taken. Select the co
ElenaW [278]

The graph is missing, so i have attached it.

Answer:

From 0 hours to 2 hours.

Step-by-step explanation:

From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.

Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.

After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.

Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.

6 0
2 years ago
Recunoasteti triunghiurile isoscele din figurile de mai jos:
yarga [219]

Answer:

<h2>The right side triangle is isosceles and equilateral.</h2>

Step-by-step explanation:

In this problem we need to draw isosceles triangles with AB=AC. The triangle is attached.

Also, we have to identify which triangle is isosceles based on the image. The triangle on the left is isosceles and equilateral. Remember that a isosceles triangle is defined by the congruence between at least two sides, in this case, we have three congruent sides, which makes the triangle isosceles and equilateral.

The triangle on the right side is not isosceles, it's just a right triangle. When a right triangle is also isosceles, its acute angles are 45°, which is not the case here.

8 0
2 years ago
A random sample of 1,175 people in a certain country were asked whether they thought climate change was a problem. The sample pr
il63 [147K]

Answer: c. We are 95 percent confident that the proportion of people in the sample who think climate change is a problem is between 0.146 and 0.214.

Step-by-step explanation:

Interpretation for 95% confidence interval :

A person can be 95% confident that the true population parameter lies in it.

By considering the given information , we have

population parameter→ p (Proportion of people who think climate change )

95 percent confidence interval = (0.146, 0.214)

Interpretation : We can be 95% confident that the true population proportion of people who think climate change lies between 0.146 and 0.214.

So , the correct answer is

c. We are 95 percent confident that the proportion of people in the sample who think climate change is a problem is between 0.146 and 0.214.

8 0
2 years ago
A toy factory makes 5,000 teddy bears per day. The supervisor randomly selects 10 teddy bears from all 5,000 teddy bears and use
tankabanditka [31]

Answer:

9

Step-by-step explanation:

<em>Degrees of freedom</em> is the number of values in the final calculation of a statistic that are free to vary. Degrees of freedom are related to sample size and calculated by n-1 where n is the <em>sample size</em>.

The Supervisor selects 10 teddy bears as sample from 5000 teddy bears produced daily.  Therefore in this situation, there are 10-1=9 degrees of freedom

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Convert the following into scientific notation: 0.00001.
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The answer would be D 1 x 10-5..
8 0
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