MATHEMATICS HIGH SCHOOL

The price of apples went from $0.30 per lb to $0.90 per lb in three years. Find the rate of change of the price of apples.

Answers

Answer 1

Answer:

Hence, the rate of change of the price of apples is:

$ 0.20 per year.

Step-by-step explanation:

Let P denote the price of apples.

It is given that the initial price of apples is: $ 0.30 per lb.

i.e. P(0)=$ 0.30 per lb.

Also, the price of the apples after three years is: $ 0.90 per lb.

i.e. P(3)=$ 0.90 per lb.

Hence, the rate of the change of the price of apples is calculated by:

$Rate\ of\ change=(P(3)-P(0))/(3-0)$

Now on putting the value in the formula we obtain:

$Rate\ of\ change=(0.90-0.30)/(3-0)\n\n\nRate\ of\ change=(0.60)/(3)\n\n\nRate\ of\ change=0.20$

The rate of change is:

$ 0.20 per year.

Answer 2

Answer: 90c-30c=60cent change

60cents/3years=20cents/year

It changed 20cents a year

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A triangle has two sides of lengths 7 and 12 what value could the third side be

Answers

we know that the longest side of the triangle cannot be longer or equal to the legnth of the sum of the other two sides ( becasue if it was equal, then you would get a straight line)

so if you assume that 12 is longest side then the other sides could be 6

if you assume that the longest side is the third side then the longest side could be 18

A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ? A) 1 B) 3
C) 27
D) 81

Answers

Answer: The answer is 9.

Step-by-step explanation:

Since f(n+1) = f(n)

If n= 1

f(2) = f(1)

if n= 2

f(3) = f(2) = 9 {since f(3) is 9}

Since f(2) is now 9 and f(2) = f(1), therefore f(1) will also be 9.

No answer!

A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ? A) 1

Which function below represents the arithmetic sequence 3, 7, 11, 15...? a) f(n) = 4 + 3(n - 1)

b) f(n) = 4 + 3n

c) f(n) = 3 + 4n

d) f(n) = 3 + 4(n - 1)

Answers

d) f(n) = 3 + 4(n-1)

3 = 1st term
4 = common difference among the terms
n = term number you are looking for.

To check: 3, 7, 11, 15, ...

f(1) = 3 + 4(1-1) = 3 + 4(0) = 3 + 0 = 3
f(2) = 3 + 4(2-1) = 3 + 4(1) = 3 + 4 = 7
f(3) = 3 + 4(3-1) = 3 + 4(2) = 3 + 8 = 11
f(4) = 3 + 4(4-1) = 3 + 4(3) = 3 + 12 = 15

Answer:

its d

Step-by-step explanation:

A scientist determines that an antibiotic reduces a population of 20,000 bacteria to 5,000 in 24 hours. Findthe rate of decline caused by the antibiotic.

Answers

Answer:

5.8%

Step-by-step explanation:

H= 1/r (in P - in A)

H=24

P=2000

A=5000

24= 1/r (in2000 - in5000)

24r = in 2000 - in 5000

r = in 2000 - in 5000

_________________

24 r

= 05 .7762265

= 5.8 %

Square root of x to the 6th power over y to the 4th power

Answers

√((x^6)/(y^4))

x^6 indicates x to the sixth power, the same goes for y^4.

Find the volume of a sphere with a radius of 6 cm. Approximate 2004-06-01-05-as 3.14 and round your answer to the nearest hundredth.

Answers

Given:
Radius = 6 cm

Volume of a sphere = 4/3 * π * r³

V = 4/3 * 3.14 * (6cm)³
V = 1.33 * 3.14 * 216cm³

V = 902.06 cm³

Answer:

C. 904.32

Step-by-step explanation:

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