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grandymaker [24]
3 years ago
9

PRE CALC, PLEASE HELP

Mathematics
1 answer:
lukranit [14]3 years ago
6 0

Answer:

23

Step-by-step explanation:

You can simply substitute -2 into the x of the equation.

f(-2) = (-2)^4 + 2(-2)^2 -1

= 23

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part b is: if the energy release of one earthquake is 10,000 times that of another, how much larger is the Richter scale reading
kotegsom [21]

You could use the information from part A to get B. I'm not sure if you want A or not, so I'll do it as well.

A

Eo = 10^4.4 Joules

E = 2 * 10^15

Formula

M = (2/3) log (E/Eo)

M = 2/3 * log (2 * 10^15/10^(4.4) )

M = 2/3 * log( 7.9621* 10^10)

M = 2/3 * 10.901

M = 7.26735 on the Richter scale. That is a huge amount of energy.

Part B

Suppose that you use Eo and your base. Eo is 10^4.4

Now the new earthquake is E = 10000 * Eo

So what you get now is M = (2/3)* Log(10000 * Eo / Eo )

The Eo's cancel out.

M = 2/3 * log(10000)

M = 2/3 of 4

M = 8/3

M = 2.6667 difference in the Richter Scale Reading. It is still an awful lot of energy.

What this tells you is that if the original reading was (say) 6 then the 10000 times bigger reading would 8.266667

Answer: M = 2.6667


8 0
3 years ago
Read 2 more answers
Write y=x^2-4x-1 in vertex form
Dvinal [7]

Answer:  y= (x+2)² − 5

Step-by-step explanation:

The way I got this answer is by completing the square. The first step though, when looking at this equation, is to see if we can factor it. The way to check is to look at the coefficient for x² which is 1, and the constant, in this case -1. If we multiply those together, we get  −. Now we look at the middle term, 4x. We need to find any numbers that multiply to equal  −  1x² and add to  4x. There aren't any, which means it is not factorable.

Hope I helped

7 0
3 years ago
At right angles.)<br> 4 m<br> 4 m<br> 2 m<br> 2 m<br> 7 m<br> 2<br> 3 m<br> 7 m<br> 11 m
Arisa [49]

Answer:

71

Step-by-step explanation:

Area of fig 1 = 1 x b = 7 x 4 = 28

Area of fig 2 = l x b = (7-2) x 3 = 5 x 3 = 15

Area of fig 1 = 1 x b = 7 x 4 = 28 (same as ig 1)

Area of whole fig = fig 1 + fig 2 + fig 3 = 28+15+28 = 71

I hope im right !!

6 0
2 years ago
Read 2 more answers
Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity
iris [78.8K]

Answer:

(a) 7.5 seconds

(b) The horizontal distance the package  travel during its descent is 1737.8 ft

Step-by-step explanation:

(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀

The initial height of the object s₀ = 900 feet

The initial vertical velocity of the object v₀_y = 0 m/s

The time it takes the package to strike the ground is found as follows;

0 = -16·t² + 0×t + 900

900 = 16·t²

t² = 900/16 = 62.25

t = √62.25 = 7.5 seconds

(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have

158 miles/hour = 231.7126 ft/s

The horizontal distance the package  covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place

The horizontal distance the package  travel during its descent = 1737.8 ft.

4 0
3 years ago
This the questions that have me stuck​
IRINA_888 [86]
First a and then b.
4 0
3 years ago
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