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2 years ago

Hong planted 16 tomato plants in his garden. What is the prime factorization of 16

Mathematics

2 answers:

anygoal [31]2 years ago

8 0

The prime factorization is 2^4

Lina20 [59]2 years ago

5 0

The prime factorization of 16 is 2^4

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The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

1 year ago

How do you solve 24=x•30

ollegr [7]

I Tired To Explain It As Best As I Could.

Isolate the variable by dividing each side by factors that don’t contain the variable.

24 = x • 30

Use The Commutative Property To Reorder The Terms

24 = 30x

Swap The Sides Of The Equations

30x = 24

Divide Both Sides Of The Equations By 30

30x ÷ 30 = 24 ÷ 30

Any Expression Divided By Itself Equals 1

x= 24 ÷ 30 or x =24/30

Reduce The Fraction With 6

x = 4/5

Exact Form:

x = 4/5

Decimal Form:

x = 0.8

5 0

2 years ago

Solve for z. z12≤3 z≥36 z≤36 z≥4 z≤4

erastova [34]

Answer:

Your answer is correct... it's no.3 ... but if you multiply a inequality by a negative value the inequality sign changes.. like if you habe greater than it'll be less than... Keep that in mind too

5 0

2 years ago

Read 2 more answers

The sign of the product of -35 and -625 is positive, negative, or zero

IRISSAK [1]

Answer:

Positive

Step-by-step explanation:

The product of two negative numbers has a positive sign, whereas the product of a positive and a negative number is negative.

Since -35 and -625 are both negative, they would have a positive sign for their product.

Hope this helps.

7 0

2 years ago

I NEED MAJOR HELP ON THESE QUESTIONS!!!

Oliga [24]

On the bottom left, the answer is subtraction property of equality because you need to subtract 4x to the 7x to simplify the equation.

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2 years ago