Help mee plzz :))tyy

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Step-by-step explanation:

Given prism has:

Length = 5 in, width = 4 in & height = 6 in

Surface area of prism

$2(lw + wh + lh) \\ = 2(5 \times 4 + 4 \times 6 + 5 \times 6) \\ = 2(20 + 24 + 30) \\ = 2 \times 74 \\ = 148 \: {in}^{2} \\$

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What is the logarithmic form of the solution to 102t = 9?

Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is $t = \frac{\log(9)}{2}$

<h3>How to rewrite the equation</h3>

The expression is given as:

$10^{2t} = 9$

Take the logarithm of both sides

$\log(10^{2t}) = \log(9)$

Apply the power rule of logarithm

$2t\log(10) = \log(9)$

Divide both sides by log(10)

$2t = \frac{\log(9)}{\log(10)}$

Apply change of base rule

$2t = \log_{10}(9)$

Divide both sides by 2

$t = \frac{\log_{10}(9)}{2}$

Rewrite as:

$t = \frac{\log(9)}{2}$

Hence, the equation in logarithmic form is $t = \frac{\log(9)}{2}$

Read more about logarithms at:

brainly.com/question/25710806

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3 years ago

A volleyball reaches its maximum height of 13 feet, 3 seconds after its served. Which of the following quadratics could model th

julsineya [31]

Only selections B and D give a maximum height of 13 at t=3. However, both of those functions have the height be -5 at t=0, meaning the ball was served from 5 ft below ground. This does not seem like an appropriate model.

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