Hello please help i’ll give brainliest

Find g'(t) for the function g(t) = 7/t^4

Alex17521 [72]

The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

<h3>What is differentiation?</h3>

The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.

Given that:-

$g(t)= \dfrac{7}{t^4}$

The derivative will be calculated as:-

$g'(t)=7 \dfrac{d}{dt}(t^{-4})\\\\\\g'(t)=7\times (-4t^{-5})\\\\\\g'(t)=\dfrac{-28}{t^5}$

Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

To know more about derivatives follow

brainly.com/question/954654

#SPJ1

3 0

2 years ago

A van and a truck both drove from Town A to Town B. The distance

Gala2k [10]

First we need to find out the time it took for the truck to reach town B.

$Speed= \frac{Distance}{Time}$

$40= \frac{200}{T}$
$T=5hours$

Now, because the van left 1.5 hours earlier and reached the destination 2.5 hours before, it took 1 hour less the the truck to arrive.

$5hours-1hour=4hours$ which is the time it took for the van to arrive.

Now we use the speed equation again to work out speed.

$Speed= \frac{200}{4}$

$Speed=50mph$ = speed of van

Hope this helped :)

4 0

3 years ago

The graph of an equation with a negative discriminant always has which characteristic?<br>

jasenka [17]

Answer:

a posative

Step-by-step explanation:

3 0

3 years ago

In the figure below, points M, P, H, J, and K lie in plane Z.

marishachu [46]

Answers:

(a) LN
(b) PHJ
(c) K
(d) HK

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Explanation:

Part (a)

Lines LN and PN have the point N in common. This is the intersection point.

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Part (b)

To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.

I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.

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Part (c)

Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K

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Part (d)

Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.

We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.

Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.

4 0

2 years ago

Which unit rates would be appropriate for describing the speed of cars in a race?

vodomira [7]

I would think miles per hour would be the best units to use because that is what the speedometer of a car is read in. Hope this helped! comment back with any questions you still have!

7 0

2 years ago