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Hunter-Best [27]
3 years ago
7

A given projectile has a height function given by h(t)=16(t-8)^2+156. What is it’s maximum height and at what time does it occur

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

24.87

Step-by-step explanation:

23.87+1=24.87

boom you have your answer

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Answer:

Step-by-step explanation:

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How to change the expression to a single logarithm
IrinaK [193]
First, you'll use the "Log power rule," which says that \log_ax^p=p\log_ax. In this case, you're going from the form on the right (with p in front of the log) to the form on the left (with p in the exponent position). So, the expression becomes:

\log_7x^4+\log_7y^8+\log_7z^4

Then, you'll use the "Log product rule," which says that \log_a(xy)=\log_ax+\log_ay. Again, you're going from the form on the right to the form on the left (basically, from the sum of the logs, to a log of the products). So you get:

\log_7(x^4y^8z^4)

There's your expression simplified into a simple logarithm. 
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3 years ago
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3 0
3 years ago
Read 2 more answers
What is the following product? (StartRoot 14 EndRoot minus StartRoot 3 EndRoot) (StartRoot 12 EndRoot + StartRoot 7 EndRoot) 2 S
Arisa [49]

Question:

What is the following product?

(√14 - √3) (√12 + √7)

Answer:

2√42 + 7√2 - 6 - √21

Step-by-step explanation:

Given.

(√14 - √3) (√12 + √7)

Required

Product

(√14 - √3) (√12 + √7)

We start by opening the brackets

√14(√12 + √7) -√3(√12 + √7)

√(14*12) + √(14*7) - √(3*12) - √(3*7)

Expand individual brackets

√(2*7*2*6) + √(2*7*7) - √(3*3*4) - √(3*7)

= √(2*2*7*6) + √(2*7*7) - √(3*3*4) - √(3*7)

= √(4*42) + √(2*49) - √(9*4) - √(3*7)

Split Roots as follows

= √4 * √42 + √2 * √49 - √9 * √4 - √21

Take square root of perfect squares

= 2 * √42 + √2 * 7 - 3 * 2 - √21

= 2√42 + 7√2 - 6 - √21

Hence, the result of the product (√14 - √3) (√12 + √7) is 2√42 + 7√2 - 6 - √21

4 0
3 years ago
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