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Katena32 [7]
3 years ago
14

PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!

Mathematics
1 answer:
muminat3 years ago
4 0

Answer:

b=-0.0019a + 215

at 2500 ft, b=210.25 degrees F

Step-by-step explanation:

First find the slope. a=altitude, b = temperature

slope is b2-b1 / a2-a1

points are (8200, 199.42) and (4700, 206.07)

(206.07 - 199.42) / (4700-8200)

= 6.65/ -3500

= - 0.0019

we have b = -0.0019a + intercept

plug in a point to find intercept

199.42 = -0.0019*8200 + intercept

intercept = 199.42 + 15.58 = 215

b=-0.0019a + 215

at a=2500 ft, substitute into equation

b= -0.0019*2500 + 215

= -4.75 + 215

= 210.25 degrees F

please give thanks by clicking heart button :)

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6 0
3 years ago
Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.
7nadin3 [17]

Answer:

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

Step-by-step explanation:

Antiderivative F(x)

This is the integral of F^{\prime}(x)

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

F(x) = \int (6 + 24x^3 + 18x^5) dx

F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K

F(x) = 6x + 6x^4 + 3x^6 + K

F(1)=0

F(X) = 0 when x = 1. We use this to find K.

F(x) = 6x + 6x^4 + 3x^6 + K

0 = 6 + 6 + 3 + K

K = -15

Thus

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

7 0
3 years ago
3x^2 + 4x = -8<br> solve using quadratic formula
Firdavs [7]

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

ax^{2} +bx +c = 0

To make the equation 3x² + 4x = -8 into a quadratic function you must bring -8 to the left side of the equation so it equals zero. To do this add 8 to both sides

3x² + 4x + 8= -8 + 8

3x² + 4x + 8 = 0

That means that in this equation...

a = 3

b = 4

c = 8

^^^Plug these numbers into the quadratic equation and solve  (Keep in mind that +/- is ± )

\frac{-4+/-\sqrt{(4)^{2}-4(3)(8)}}{2(3)}

\frac{-4+/-\sqrt{16-96}}{6}

\frac{-4+/-\sqrt{-80}}{6}

^^^There is no real solution to this equation. You must have an imaginary solution

\frac{-4+/-i\sqrt{80}}{6}

Simplify

\frac{-2+/-2i \sqrt{5}}{3}

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in: 2 1/6 h
Sunny_sXe [5.5K]
I'm not all that familiar with that sort of representation, but I guess 3 3/4 = 15/4 and 2 1/6 = 13/6.

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7 0
3 years ago
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podryga [215]

Answer:

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Step-by-step explanation:

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= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

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Apply the Exponent Rule Pt 1  ((a^m*b^m =(ab)^m))

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Apply the Exponent Rule Pt 2

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Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

6 0
3 years ago
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