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2 years ago

What is a prime factorization for 105

Mathematics

2 answers:

DIA [1.3K]2 years ago

7 0

The prime factorization of 105 is 3 x 5 x 7

Anestetic [448]2 years ago

5 0

105
21x5
7x3x5
So the prime factorization of 105 is 7x5x3

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In 2013, the moose population in a park was measured to be 5,100. By 2018, the population was measured again to be 5,200. If the

natka813 [3]

Answer:

$P(t) = 5100e^{0.0039t}$

Step-by-step explanation:

The exponential model for the population in t years after 2013 is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the population in 2013 and r is the growth rate.

In 2013, the moose population in a park was measured to be 5,100

This means that $P(0) = 5100$

$P(t) = 5100e^{rt}$

By 2018, the population was measured again to be 5,200.

2018 is 2018-2013 = 5 years after 2013.

So this means that $P(5) = 5200$ .

We use this to find r.

$P(t) = 5100e^{rt}$

$5200 = 5100e^{5r}$

$e^{5r} = \frac{52}{51}$

$\ln{e^{5r}} = \ln{\frac{52}{51}}$

$5r = \ln{\frac{52}{51}}$

$r = \frac{\ln{\frac{52}{51}}}{5}$

$r = 0.0039$

So the equation for the moose population is:

$P(t) = 5100e^{0.0039t}$

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2 years ago

Camila sets up a passcode on her tablet, which allows only nine-digit codes. A spy sneaks a look at Camila's tablet and sees her

laila [671]

Answer:

$\frac{1}{10^9}$ probability the spy is able to unlock the tablet on his first try.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

1 correct password, so $D = 1$

Total outcomes:

Nine-digit codes.

For each digit, there are 10 possible outcomes. So

$T = 10^9$

What is the probability the spy is able to unlock the tablet on his first try?

$p = \frac{D}{T} = \frac{1}{10^9}$

$\frac{1}{10^9}$ probability the spy is able to unlock the tablet on his first try.

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2 years ago

the number of states that entered the union in 1889 was half the number of states "s" that entered in 1788. which expression sho

blondinia [14]

Answer:

x = s/2

Step-by-step explanation:

● s states have joined the union in 1788

● half of s have joined in 1889

Let x be the number of states that have joined in 1889

● x = (1/2)× s

● x = s/2

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2 years ago

Changing this into General Form (Ax + By + C = 0)<br><br> x = -9 {2 ≤ y ≤ 6}

ahrayia [7]

Answer:

0x8y

Step-by-step explanation:

x is negative so i turned it into a negative number b, y is - so 8 and o is slope

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3 years ago

Four more than a number is more than thirteen write inequality

aniked [119]

4 more than a number = x + 4
is more than = >
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x + 4 > 13

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3 years ago