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andreyandreev [35.5K]
3 years ago
6

What is the value of a2+0.4a for a=0.5?

Mathematics
1 answer:
OLEGan [10]3 years ago
7 0
You got it correct it is 0.45
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How many grams of 0.5% hydrocortisone cream must be mixed with 180 g of 2.5 % cream to make a 1 % w/w hydrocortisone cream? HINT
Sophie [7]

Answer:

We need 540 grams of 0.5% hydrocortisone cream

Step-by-step explanation:

Lets call x the amount of grams needed. This means that the combined cream will have 180+x grams. We want x such that

x * 0.005 + 180*0.025 = (180+x)*0.01

Hence

0.005x + 4.5 = 1,8+0.01x

Lets put the x in the same side and take common factor

4.5-1.8 = 0.01x-0.005x

2.7 = (0.01-0.005)x = 0.005x

As a result

x = 2.7*0.005 = 540

We need 540 grams.

3 0
3 years ago
Name two congruent circles. A and C B and C A and D B and D
alexandr1967 [171]

Answer:

1) A and D

The radius is the distance from the center of a circle to any part of the edge. Both A and D have a radius of three, regardless of what direction they go.

2)  5"

In circle C we see that there is a line segment that is 5" that goes from the center to the edge, or the radius.

3) C

The different variables are representing different points on the circles. The circle that contains a line connecting C and L is circle C.

4) BN

Circle B contains a radius that is the distance from B to N, or BN.

5) EF

The diameter is the distance of a  straight line that was pass through the middle of a circle, or its width. The diameter is double the radius. In circle A we see that line EF passes through the center put goes all the way across the circle.

6)IJ

Line IJ isn't even linear, so it could not be the radius. Both AG and BH are straight lines that represent the radius.

7) 6"

The diameter is always twice the radius. In circle A the radius is 3, so the diameter is 6.

8) A and D

Just as we said in the first answer, A and D both have a radius that measures 3 inches.

I hope this helps!

Step-by-step explanation:

5 0
3 years ago
To find the volume of a rectangular prism, you can use the formula of V = l w h. A rectangular prism has a volume of 60 cubic ce
anzhelika [568]

Answer:

W = 4

Step-by-step explanation:

The nice thing about algebra is that you can look for any variable in an equation as long as you have the number for the other variables.

1. Write our the equation. V = l w h

2. Put in as many numbers as you can. 60 = 5 w 3

3. Isolate the variable. To do that perform the mathematical opposite to the target on both sides. So to get rid of five, we have to divide it on both sides of the equal sign.

60/5 = w 3

12/3 = w

4 = w

The width is 4cm

7 0
4 years ago
50+50-25*0+2+2= <br> What is the answer
poizon [28]

Answer:

104

Step-by-step explanation:

50+50-25*0+2+2

Order of operations....50+50-0+2+2

This equals to 100+2+2

Then you get the answer of 104.

I hope you understand..

5 0
3 years ago
Read 2 more answers
A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 98% confidence inter
frosja888 [35]

Answer:

The minimum sample size required to create the specified confidence interval is 1024.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.327

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when M = 0.08, \sigma = \sqrt{1.21} = 1.1.

M = z*\frac{\sigma}{\sqrt{n}}

0.08 = 2.327*\frac{1.1}{\sqrt{n}}

0.08\sqrt{n} = 2.327*1.1

\sqrt{n} = \frac{2.327*1.1}{0.08}

(\sqrt{n})^{2} = (\frac{2.327*1.1}{0.08})^{2}

n = 1024

The minimum sample size required to create the specified confidence interval is 1024.

3 0
4 years ago
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