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3 years ago

Goran needs to drive 14 miles to work. so far, he has driven 2.2 miles. how many more miles must he drive?

Mathematics

1 answer:

kompoz [17]3 years ago

6 0

14 - 2.2 =11.8
he needs to drive 11.8 more miles.

hope this helps you

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Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Mumz [18]

Answer:

$Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

Step-by-step explanation:

The equation of the curve is

$Y = sin^{-1}(7x)$

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

$Y'=\frac{7}{\sqrt{1-49x^2} }$

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is $x = \sqrt{\frac{1}{7} }$

Then slope would accordingly be

$Y'=\frac{7}{\sqrt{1-49/49} }$

= ∞

For, $x = \sqrt{\frac{1}{7} }$ , $Y = sin^{-1}(7/7)= \pi/2$

Equation of tangent line, in the point slope form, would be $Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

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3 years ago

How long will it take a $800 investment to be worth $900 if it is continuously compounded at 11% per year?

Kruka [31]

The formula is
A=p e^rt
A future value 900
P present value 800
E constant
R interest rate 0.11
T time?

We need to solve for t
T=[log (A/p)÷log (e)]÷r
T=(log(900÷800)÷log(e))÷0.11
T=1.07 years round your answer to get 1 year

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3 years ago

What is the right choice

never [62]

I think its C but not sure

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3 years ago

A manufacturer considers his production process to be out of control when defects exceed 3.2%. In a random sample of 136 items,

murzikaleks [220]

Answer:

dsynyerjtetuegrjghdgfs

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3 years ago

List all of the correct numbers rounded to 56.8 when rounded to the nearest tenth don’t forget to put all of the answer

jek_recluse [69]

56.809

56.795

56.832

These all round up to 56.8

8 0

3 years ago