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muminat
3 years ago
10

Calculate f(4) for each function below

Mathematics
1 answer:
jeka57 [31]3 years ago
5 0
Subtitute x = 4 to the equations:

b)\ f(x)=\left(\dfrac{1}{5}\right)^x\to f(4)=\left(\dfrac{1}{5}\right)^4=\dfrac{1^4}{5^4}=\dfrac{1}{625}\\\\c)\ f(x)=3x-12\to f(4)=3\cdot4-12=12-12=0\\\\d)\ f(x)=(x-2)^3\to f(4)=(4-2)^3=2^3=8
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What is 18/32 in simplest form​
JulsSmile [24]

Answer:

Step-by-step explanation:

18/32 is the same as 9/16 or 0.5625

7 0
3 years ago
8. You recorded the time in seconds it took for 8 participants to solve a puzzle. The times were: 15.2, 18.8, 19.3, 19.7, 20.2,
kirill115 [55]

Answer:

Xbar = 20.813

Median = 19.95

5 - number summary :

Minimum = 15.2

Q1 = 19.05; Q2 = 19.95 ; Q3 = 21.95 ; maximum = 29.4

Standard deviation, s = 4.068

Step-by-step explanation:

Given the data:

X : 15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

Ordered data:

15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

The mean (xbar) :

Xbar = Σx / n ; n = sample size = 8

Xbar = 166.8 / 8 = 20.8125

Xbar = 20.813

The median :

1/2 *(n+1)th term

1/2(9) = 4.5

(4 + 5)th term / 2

(19.7 + 20.2) / 2 = 19.95

The five number summary :

Minimum = 15.2

Lower quartile (Q1) = 1/4(9) = 2.25 ; (2nd + 3rd) term / 2

(18.8 + 19.3) / 2 = 19.05

Median (Q2) = 19.95

Upper quartile (Q3) :

3/4(9) = 6.75 = (6th + 7th) / 2

(21.8 + 22.1) / 2 = 21.95

Maximum = 29.4

The standard deviation, s = sqrt[(x - xbar)²/ (n-1)]

Using calculator ;

s = 4.068

4 0
2 years ago
Victoria searched her house for quarters. She started with 17 quarters and found 6 more quarters. She then goes to the arcade. I
Viefleur [7K]

Answer:

11 games

Step-by-step explanation:

17+6=23

23/2=11.5

Victoria can play 11 games. You'd usually round up, but in this case you can't play half a game so she'll play 11 games and have one quarter leftover.

7 0
2 years ago
Read 2 more answers
What is 4(1 + 9x) simplified?
konstantin123 [22]

Answer:

4 + 36x is your expression

Step-by-step explanation:

4 x 1 = 4

4 x 9x = 36x

so 4 + 36x is your expression because you can't add numbers with different variables or if they don't even have one.

7 0
3 years ago
Read 2 more answers
I WILL MARK AS BRAINLIEST! Solve for Y
zzz [600]

Answer:

See below.

Step-by-step explanation:

Substitute the value for the variable and solve.

a.)

⇒ y = -5(3) + 17

⇒ y = -15 + 17

⇒ y = 2

b.)

⇒ y = 3(3) - 22

⇒ y = 9 - 22

⇒ y = -13

c.)

⇒ y = 2(3) - 25

⇒ y = 6 - 25

⇒ y = -19

d.)

⇒ y = 6(3) - 39

⇒ y = 18 - 39

⇒ y = -21

7 0
3 years ago
Read 2 more answers
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