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skad [1K]
3 years ago
5

There are 360 degrees in a circle. How many arc seconds will be in 96 % of a circle?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0
1,244,160 arc-seconds
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Explain how to evaluate f(g(0)).
alekssr [168]

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

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

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

8 0
2 years ago
No chi-square The principal in Exercise 7 also
larisa [96]

The random sample of the students is an illustration of sampling

The chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.

<h3>How to determine the reason chi square is not appropriate?</h3>

The dataset is given as:

Monday        34

Tuesday       29

Wednesday   32

Thursday        28

Friday             19

The variable of the above dataset is a not a categorical dataset.

One of the conditions of the chi-square test for goodness of fit test is that the variable under study must be categorical.

Hence, the chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.

Read more about chi-square test at:

brainly.com/question/19959558

8 0
2 years ago
Is y= 1/2x -4 a linear equation
trasher [3.6K]

Answer:

Yes

Step-by-step explanation:

Linear means a line, and x is not squared or anything in this equation. If you were to graph it, it would be a line.

8 0
3 years ago
Read 2 more answers
Draw a Punnett square of an Ss x ss cross. The S allele codes for long stems in pea plants and the s allele codes for short stem
laiz [17]

Answer:

Hope this helps

7 0
3 years ago
Zene deposited $50 in a savings account earning 5% interest, compounded annually. To thenearest cent, how much will he have in 3
JulsSmile [24]

Answer:

\$57.88  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3\ years\\ P=\$50\\ r=5\%=5/100=0.05\\n=1  

substitute in the formula above

A=50(1+\frac{0.05}{1})^{1*3}  

A=50(1.05)^{3}  

A=\$57.88  

6 0
3 years ago
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