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Gemiola [76]
2 years ago
11

Consider these functions:

Mathematics
1 answer:
Lana71 [14]2 years ago
7 0

Answer:

Answer is 12

Step-by-step explanation:

f(g(-2))

=f((-2)^2+2)

=f(6)

=-1/2×6^2+5×6

=12

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Part A
lesya692 [45]
Each candy bar cost $5

work:
x = cost of candy bar

3+8(x)=43
-3. -3 < subtract 3 both sides
——————
8(x)= 40
—— —— 8 8

x=5
4 0
3 years ago
Help me find the arc length of this. Thank you.
BabaBlast [244]

The red chord is a diameter of the circle, so the length of the blue arc is half the circle's circumference.

The circumference of a circle with diameter d is \pi d, so the circle has circumference 8\pi, and so the arc has length 4\pi.

4 0
3 years ago
Madeline invested $51,000 in an account paying interest rate of 6 1/8% compounded daily. Harper invested 51000 in an account pay
LenaWriter [7]

Answer:

$5564.87

Step-by-step explanation:

We are to determine the difference between the future values of each investment

The formula for calculating future value:

FV = P (1 + r)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

Madeline

P = Present value = 51,000

R = interest rate = 0.06125 / 365 = 0.000168

N = number of years = 13

m = number of compounding = 365

51,000 x (1.000168)^4745  = 113,070.20

Harper

51,000 x (1.004792)^156 = 107,505.33

Difference = 113,070.20 - 107,505.33 = $5,564.87

6 0
3 years ago
Read 2 more answers
2/3x + 1/6 = -3/4 x + 1
Marta_Voda [28]
Multiply all terms by 12/1 to get rid of fractions.
8x+2= -9x+12

Add 9x to both sides
17x+2=12

Subtract 2 from both sides
17x=10

Divide both sides by 17
x=10/17

Final answer: x=10/17
8 0
3 years ago
A cyclist covers a distance of 15 miles in 2 hours. Calculate his speed.
Neporo4naja [7]

Answer:

7.5mph

Step-by-step explanation:

Speed = Distance / Time

Speed = 15 ÷ 2

Speed = 7.5 mph

8 0
3 years ago
Read 2 more answers
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