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12345 [234]
3 years ago
8

The function graphed is f(x). What is the function rule? Write the rule in function notation, using the slope-intercept form of

a line. Enter your answer in the box.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0
The function rule is f (x)=-2/3 × X +3
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In a circle an arc length 10 is intercepted by a central angle of 2/3 radius
djverab [1.8K]

We have been given that in a circle an arc length 10 is intercepted by a central angle of 2/3. We are supposed to find the radius of the circle.

We will use arc-length formula to solve our given problem.

l=r\theta, where,

l = Arc length,

r = Radius,

\theta = Central angle corresponding to arc length.

Upon substituting our given values in arc-length formula, we will get:

10=r\cdot \frac{2}{3}

10\cdot \frac{3}{2}=r\cdot \frac{2}{3}\cdot \frac{3}{2}

5\cdot \frac{3}{1}=r

15=r

Therefore, the radius of the given circle would be 15 units.

5 0
3 years ago
Find the slope of (-4,3) (-3,4)
insens350 [35]

Answer:

y = x + 7

Step-by-step explanation:

3 0
2 years ago
Change each fraction or mixed number to a percent. a. 2/5 b. 7/20 c. 1 11/16 d. 14 1/4
QveST [7]

Answer:

a. 20% b. 35% c. 1.6875 d. 14.25

8 0
2 years ago
Read 2 more answers
Show numerically and explain your answer explain (-2)+5 in I need help
Korvikt [17]
-2 + 5 is the same as 5 - 2
5-2= 3
4 0
3 years ago
William is going to invest in an account paying an interest rate of 5.9% compounded
Valentin [98]

Answer:

\$400.92  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

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  

e is the mathematical constant number

we have  

t=19\ years\\ A=\$1,230\\ r=5.9\%=5.9/100=0.059  

substitute in the formula above

1,230=P(e)^{0.059*19}  

solve for P

1,230=P(e)^{1.121}  

P=1,230/(e)^{1.121}

P=\$400.92  

3 0
3 years ago
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