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2 years ago

If (8z − 9)(8z + 9) = az2 − b, what is the value of a? (5 points)

1 answer:

3 0

The question is looking for the coefficient to the first term after multiplying the two sets of parentheses together.

=(8z − 9)(8z + 9)
using the FOIL method, multiply the first, outside, inside, then last terms

=(8z*8z) + (8z*9) + (-9*8z) + (-9*9)
=64z^2 + 72z - 72z - 81
the middle two terms cancel each other (72-72= 0)
=64z^2 - 81

ANSWER: The value of a is 64

Hope this helps! :)

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Nathaniel works as a baker and makes several batches of muffins every morning. each batch requires 1 1/7 cups of sugar. for a la

kramer

The amount of sugar he will use is 5.22 cups of sugar, and the number of boxes needed to pack the muffins is 13.71 boxes.

<h3>How do we solve a word problem?</h3>

This word problem question can be solved as follows:

Amount of sugar he will use = 1 1/7 * 4 4/7 = 1.142857142857143 * 4.0.571428571428571 = 5.22 cups of sugar

Number of boxes needed to pack the muffins for the meeting = 4 4/7 * 3 = 4.0.571428571428571 * 3 = 13.71 boxes

Learn more about how to solve word problems here: brainly.com/question/13732946.

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1 year ago

Question 7

serg [7]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a cone with volume 769?3 ft³ , having a height of 15 ft

To calculate - radius of the cone

We know that ,

$\bold{Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h }\\$

substituting the values in the formula stated above ,

$\bold{769.3 = \frac{1}{3} \times 3.14 \times r {}^{2} \times 15} \\ \\\bold{\implies r {}^{2} = \frac{769.3 \times 3}{3.14 \times 15} } \\ \\\bold{\implies r {}^{2} = \cancel\frac{2307.9}{47.1}} \\ \\\bold{ \implies \: r {}^{2} = 49} \\ \\ \bold{\implies \: r = 7 \: ft}$

therefore ,

radius = 7 cm

hope helpful ~

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1 year ago

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Black_prince [1.1K]

The correct answer is 1 7/15.

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Step-by-step explanation:

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2 years ago