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4 years ago

7

From 75 campsites to 120 campsites

1 answer:

ICE Princess25 [194]4 years ago

7 0

subtract 75 from 120

120-75 =45 more campsites

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What is 3log2 x-(log2 3-log2(x+4)) written as a single logarithm?

zloy xaker [14]

Answer:
log₂( $\frac{x^2(x+4)}{3}$ )

Explanation:
Before we begin, remember the following:
logₐ(x) - logₐ(y) = logₐ( $\frac{x}{y}$ )
alog(x) = log(xᵃ)

Now, for the given we have:
3 log₂(x) - (log₂3 - log₂(x+4))
log₂(x²) - log₂( $\frac{3}{x+4}$ )

log₂( $\frac{x^2}{ \frac{3}{x+4} }$ ) = log₂( $\frac{x^2(x+4)}{3}$ )

Hope this helps :)

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3 years ago

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jasmine took four 20 points quizzes in her math class. if her scores were,18,15,20,15, what was her mean quiz score

g100num [7]

Answer: 17

Step-by-step explanation: ok so first to find the mean you add all the numbers then divide by how many numbers there is so basically 18 plus 15 plus 20 plus 15 then divide by 4 because there is 4 numbers and once you do that it is 17

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3 years ago

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Simplify the expression.<br> (x 3/2)6

Sliva [168]

For this case we must simplify the following expression:

$(x ^ {\frac {3} {2}}) ^ 6$

We have that by definition of properties of powers that is fulfilled:

$(a ^ n) ^ m = a ^ {n * m}$

Then, rewriting the expression:

$x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9$

Answer:

$(x^{\frac{3}{2}})^6=x^9$

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3 years ago

In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?

Katena32 [7]

Answer:

$XY = 4.9$

Step-by-step explanation:

Given

$XZ= 4$

$\angle Y = 45$

$\angle Z = 60$

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

$\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}$

In this case:

$\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}$

Cross Multiply

$XY * \sin(45) = 4 * \sin(60)$

$XY * 0.7071 = 4 * 0.8660$

Make XY the subject

$XY = \frac{4 * 0.8660}{0.7071}$

$XY = \frac{3.4640}{0.7071}$

$XY = 4.89888276057$

$XY = 4.9$ -- <em>approximated</em>

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4 years ago

A certain breed of mouse was introduced onto a small island with an initial population of 320 mice, and scientists estimate that

Viefleur [7K]

Y=2x+320
x being the number of years and 320 being the initial population of mice

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4 years ago