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3 years ago

11

1. Fill in the blanks for the rules for working with exponents:

2 answers:

melamori03 [73]3 years ago

8 0

1. add
2.substract
3.multiply
4. 1
5. we can put them in fraction like x^-1=1/x

natima [27]3 years ago

5 0

1.a)add
B) substract
C) multiply
D) one

2) 1002=1.002×10^3

3)2.8×10^-3 < 2.5×10^-2 < 1.2×103 <4×103

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You wish to find a 95% confidence interval for the mean number of times men change channels with a remote control during a comme

gogolik [260]

For margin of error to be a maximum of 3:
3 = z*(SD / sqrt(n)), where z is the z-score, SD is the standard deviation and n is the sample size.
z = 1.96 for a 95% confidence interval, and we are given SD = 15.
3 = 1.96*15/sqrt(n)
sqrt(n) = 9.8
n = 96.04 ~ 96 commercials.

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3 years ago

under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

<h2>3</h2>

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

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2 years ago

Find the slope of the line passing through the points (-3,4) and (2,1)

maksim [4K]

Answer is d. -5/3 because y2-y1 =x2-x1

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2 years ago

Read 2 more answers

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S_A_V [24]

Answer:

<em>B. (U+V)(U-V)</em>

Step-by-step explanation:

<u>Factoring</u>

The given expression is:

$4x^2-9y^6$

It should be noted that both terms are perfect squares:

$(2x)^2=4x^2$

$(3y^3)^2=9y^6$

Since it's a difference of squares, we need to use the following pattern to factor the required expression:

$(U^2-V^2)=(U+V)(U-V)$

Thus, the answer is

B. (U+V)(U-V)

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