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mario62 [17]
3 years ago
12

Simplify 362+4,104+89

Mathematics
1 answer:
N76 [4]3 years ago
7 0

Answer:

4555

Step-by-step explanation:

362+4,104=4466

4466+89=4555

hope this helps!

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Expand and combine like terms (3z^5 +7z^2)^2
AVprozaik [17]

Answer:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Step-by-step explanation:

Since it's a perfect square, we can simply use the formula:

\displaystyle{(ax+by)^2 = a^2x^2+2abxy+b^2y^2}

Given the perfect square expression \displaystyle{(3z^5+7z^2)^2}. Apply perfect square formula:

\displaystyle{(3z^5+7z^2)^2 = 3^2(z^5)^2+2(3)(7)(z^5)(z^2) + 7^2(z^2)^2 }

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

\displaystyle{(a^m)^n = a^{mn}}\\\\\displaystyle{a^m \cdot a^n = a^{m+n}}

Apply laws of exponent to simplify the terms or expression:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

8 0
1 year ago
The coordinates of the verticies of a rectangle are (-2,3), (4,3), (4,-4) and (-2, -4) what are the demensions of the rectangle?
kolbaska11 [484]
Jdushuszvusshsushduys sudbrhr did for fun dbd d d did. B. B u igfuf.
6 0
3 years ago
use for questions 4-6: A lettter is randomly chosen from the word CANDLESTICK. Find each probability.
alexandr402 [8]

There are 3 vowels  out of 11 letters in the word  CANDLESTICK.

Probability (vowel) = 3/11

P( N or S) = 2/11           ( as there is 1 S and 1 N in the word)

P(not C) = 1 - P(picking a C) = 1 - 2/11 = 9/11    (note there are 2 C's in the word)

4 0
3 years ago
The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. A
Montano1993 [528]

Answer: (14.4, 17.2)

Step-by-step explanation: We are to construct a 98% confidence interval for mean household usage of electricity.

We have been given that

Sample size (n) = 872

Sample mean (x) = 15.8

Population standard deviation (σ) = 1.8

The formulae that defines the 98% confidence interval for mean is given below as

u = x + Zα/2 × σ/√n...... For the upper limit

u = x - Zα/2 × σ/√n...... For the lower limit

Zα/2 = critical value for a 2% level of significance in a two tailed test = 2.33

By substituting the parameters we have that

For upper tailed

u = 15.8 + 2.33 × (1.8/√872)

u = 15.8 + 2.33 (0.6096)

u = 15.8 + 1.4203

u = 17.2

For lower tailed

u = 15.8 - 2.33 × (1.8/√872)

u = 15.8 - 2.33 (0.6096)

u = 15.8 - 1.4203

u = 14.4

Hence the 98% confidence interval for population mean usage of electricity is (14.4kwh, 17.2kwh)

4 0
3 years ago
Please help me on this been trying on this I know it is not B
svetoff [14.1K]
The answer is delta because i am a mathmatician
3 0
3 years ago
Read 2 more answers
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