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photoshop1234 [79]
3 years ago
13

(-2p⁻⁵q . 4p⁵q⁻³)² Explain with steps

Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0

Answer:

\frac{64}{q^{4}}

or

64q^{-4}

Step-by-step explanation:

Remember the properties

Product rules

a^{n} a^{m}=a^{n+m}

Power rules

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

we have

(-2p^{-5}q4p^{5}q^{-3})^{2}

Applying the product rules

(-2(4)p^{-5+5}q^{-3+1})^{2}

(-8p^{0}q^{-2})^{2}

(-8q^{-2})^{2}

Applying the power rules

64q^{-4}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

64q^{-4}=\frac{64}{q^{4}}

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What does n equal to in 12n + 9 = 6 - 3n
sveticcg [70]
12n+9=6-3n\ \ \ \ \ \ |Add\ 3n\ to\ each\ side\\\\
15n+9=6\ \ \ \ \ |Subtract\ 9\\\\
15n=-3\ \ \ \ \ |Divide\ by\ -15\\\\
n=-\frac{3}{15}=\boxed{-\frac{1}{5}}
6 0
3 years ago
If 3 dice are rolled at the same time, what is the probability of all 3 dice showing even face
Bezzdna [24]
Total possible outcomes of 3 dice = 6 x 6 x 6 = 216

Total number of ways for all 3 to show even numbers:
222
224
226
242
244
246
262
264
266
.
.
etc.    There 27 of them.

Probability = 27 / 216 = <u>1/8</u> = 12.5 percent .
5 0
3 years ago
( -6p - 8 ) - ( 2p - 6 ) plz :)
jarptica [38.1K]

Answer:

-8p-14

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
1. A farmer divided a field into 1-foot by 1-foot sections and tested soil samples from 32 randomly selected sections in the fie
Ad libitum [116K]
Part A

Answers:
Mean = 5.7
Standard Deviation = 0.046

-----------------------

The mean is given to us, which was 5.7, so there's no need to do any work there.

To get the standard deviation of the sample distribution, we divide the given standard deviation s = 0.26 by the square root of the sample size n = 32
So, we get s/sqrt(n) = 0.26/sqrt(32) = 0.0459619 which rounds to 0.046

================================================

Part B

The 95% confidence interval is roughly (3.73, 7.67)
The margin of error expression is z*s/sqrt(n)
The interpretation is that if we generated 100 confidence intervals, then roughly 95% of them will have the mean between 3.73 and 7.67

-----------------------

At 95% confidence, the critical value is z = 1.96 approximately

ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*5.7/sqrt(32)
ME = 1.974949
The margin of error is roughly 1.974949

The lower and upper boundaries (L and U respectively) are:
L = xbar-ME
L = 5.7-1.974949
L = 3.725051
L = 3.73
and
U = xbar+ME
U = 5.7+1.974949
U = 7.674949
U = 7.67

================================================

Part C

Confidence interval is (5.99, 6.21)
Margin of Error expression is z*s/sqrt(n)
If we generate 100 intervals, then roughly 95 of them will have the mean between 5.99 and 6.21. We are 95% confident that the mean is between those values.

-----------------------

At 95% confidence, the critical value is z = 1.96 approximately

ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*0.34/sqrt(34)
ME = 0.114286657
The margin of error is roughly 0.114286657

L = lower limit
L = xbar-ME
L = 6.1-0.114286657
L = 5.985713343
L = 5.99

U = upper limit
U = xbar+ME
U = 6.1+0.114286657
U = 6.214286657
U = 6.21
5 0
3 years ago
G(x) = 1/3 * (2/9)^x. Does the function model growth or decay?
ElenaW [278]
The function models Exponential Decay due to the fact that as

x -> infinity, y-> 0

4 0
3 years ago
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