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Komok [63]
3 years ago
11

Please helppp

Mathematics
1 answer:
fredd [130]3 years ago
8 0

Answer:

B

Step-by-step explanation:

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A certain culture of year increases by 50% every three hours. A scientist places 9 grams of yeast in a culture dish. Write the e
miskamm [114]

Answer: a) Explicit formula :f(x)=9(1.5)^{3x}

b) Recursive formula : f(x)=9(1.5)^{3x} and f(x+1)=f(x)\times 1.5^3

Step-by-step explanation:

Since we have given that

Number of grams of yeast in a culture dish initially = 9 grams

According to question, a certain culture of year increases by 50 % every three hours.

So, the explicit formula will be

f(x)=9(1+\frac{50}{100})^{3x}\\\\f(x)=9(1+0.5)^{3x}\\\\f(x)=9(1.5)^{3x}

And the recursive formula will be

f(x)=9(1.5)^{3x}\\\\f(x+1)=9(1.5)^{3(x+1)}\\\\f(x+1)=9(1.5)^{3x+3}\\\\f(x+1)=9(1.5)^{3x}.(1.5)^3\\\\f(x+1)=f(x)\times 1.5^3

Hence, a) Explicit formula : f(x)=9(1.5)^{3x}

b) Recursive formula :f(x)=9(1.5)^{3x} and  f(x+1)=f(x)\times 1.5^3

6 0
3 years ago
Use the graph of the function f(x) to complete the statements below.
vovangra [49]
The answer is f12 submit 8765
4 0
2 years ago
Cesar is making a model of the Eiffel Tower. The height of the tower is 984 feet, and Cesar wants to make a 1.5-foot
n200080 [17]

Answer:

See below

Step-by-step explanation:

First, lets see how many feet of the original Eiffel tower (O) are represented in 1 foot of Caesar's tower model (M). We know that 1.5 foot is equal to 984 feet of the original, so we can say:

1.5 M = 984 O, this is our equivalence.

Now divide both sides by 1.5

1.5 M / 1.5 = 984 O / 1.5

1 M = 656 O

So, 1 foot of Cesar's Model is 684 feet of the original tower. We also know that 1 foot is equal to 12 inches, so we can say that 12 inches of Cesar Model (12 m) are equivalent to 656 feet of the original tower. So:

12 m = 656 O

If we divide both sides by 12:

m = 656/12 O

m = 56.67

So, 1 inch in Cesar's model represent 56.67 feet of the original Eiffel Tower.

Lets verify our result by multiplying 56.67 by 12 to get 1 feet and then by 1.5 to get the measure of the model:

56.67*12*1.5 = 984 feet, which is the height of the Eiffel tower.

Scale: 1 inch = 56.67 feet

5 0
4 years ago
Which graph represents the compound inequality? h2-5 and h<2
gayaneshka [121]

2 is correct, because:

1) we have a close interval

2)we must have node on x=-5

6 0
3 years ago
You have two jobs. One job pays $7 per hour and the other pays $8.25 per hour. You worked 22 hours total last week and earned $1
il63 [147K]
X = 1st job
y = 2nd job

x + y = 22......x = 22 - y
7x + 8.25y = 171.50

7(22 - y ) + 8.25y = 171.50
154 - 7y + 8.25y = 171.50
-7y + 8.25y = 171.50 - 154
1.25y = 17.50
y = 17.50 / 1.25
y = 14 <== 14 hrs at the 8.25 per hr job

x + y = 22
x + 14 = 22
x = 22 - 14
x = 8 <=== 8 hrs at the 7 per hr job
8 0
3 years ago
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