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nikdorinn [45]
3 years ago
12

What is the radius of a circle with an area of 78.5 cubic inches? Use 3.14 for pi. Enter your answer in the box.

Mathematics
2 answers:
Molodets [167]3 years ago
5 0

Answer:


If the area of the circle is 78.5 squared inches (note we use squared inches for areas and cubic inches for volume) and we want to know its radius r, we have to use the formula of the area of the circle:


A_{circle}=\pi r^{2}  


Then isolate r:


r^{2}=\frac{A_{circle}}{\pi}  


Applying square root on both sides:


\sqrt{r^{2}}=\sqrt{\frac{A_{circle}}{\pi}}  


r=\sqrt{\frac{A_{circle}}{\pi}}  


Substituting the known values:


r=\sqrt{\frac{78.5 inch^{2}}{3.14}}  


r=5>>>>>This is the radius

k0ka [10]3 years ago
3 0

Answer:

its basicaly just 5 :)

Step-by-step explanation: i took the test

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Consider the differential equation: dy/dx = (y-2)(x^2+1)
Klio2033 [76]

Answer:

6

Step-by-step explanation:

Given,

\dfrac{dy}{dx}=(y-2)(x^2+1) ...(i)

Differentiating w.r. to x.

\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)\dfrac{dy}{dx}

From equation (1)

\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)^2(y-2)

Now, at the point (1,3)

\dfrac{d^2y}{dx^2}= (3-2)(2\times 1)+ (1^2+1)^2(3-2)

\dfrac{d^2y}{dx^2}=6

3 0
3 years ago
Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th
denpristay [2]

Answer:

(1) Correct option is B.

(2) Correct option is C.

Step-by-step explanation:

The information provided is:

n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3

The (1 - <em>α</em>)% confidence interval for the difference between two mean is:

CI=\bar x_{1}-\bar x_{2}\pm t_{\alpha/2, (n_{1}+n_[2}-2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }

The critical value of <em>t</em> is:

\alpha /2=0.05/2=0.025

degrees of freedom =n_{1}+n_{2}-2=200+200-2=398

t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96

Compute the 95% confidence interval for the difference between two mean as follows:

CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

The null value of the difference between means is 0.

As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.

Correct option is C.

4 0
3 years ago
The dotplot below displays the difference in scores for 18 games between a high school soccer team and its opponent.
kiruha [24]

Answer: Choice D

In two games, the team lost to the opponent by 1 goal.

========================================================

Explanation:

Negative scores indicate the team lost, and the absolute value of those values represent how much of a loss.

So a difference of -1 means the team lost by 1 point.

We have 2 dots over this value, so there are 2 occasions where the team lost  to the opponent by 1 goal.

An example would be that say the team scored 3 goals and the opponent scored 4 goals. So we have a differential of 3-4 = -1. The order is important because we would <u>not</u> say 4-3 = 1.

6 0
3 years ago
How do I do number three help pleaseeeeeeee
posledela
I got 36. I did 5-2=3, 3•180=540, 540/5=108, 180-108=72, and 72/2= 36
4 0
3 years ago
5.4 divided 0.12 show work on how you got the ansswer
FinnZ [79.3K]
5.4 divide by 0.12 equals 45
6 0
3 years ago
Read 2 more answers
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