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alex41 [277]
3 years ago
10

What is the differentiation of f(x) =2x^4/5?

Mathematics
1 answer:
motikmotik3 years ago
6 0
\bf f(x)=\cfrac{2x^4}{5}\implies f(x)=\cfrac{2}{5}x^4\implies \cfrac{df}{dx}=\cfrac{2}{5}\cdot 4x^3\implies \cfrac{df}{dx}=\cfrac{8x^3}{5}

notice, the 2/5 is just a "scalar" value, so you can just get the derivative of the variable part and slap the scalar as its factor.
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PLEASE ANSWER ALL I WILL GIVE BRAINLIEST
sineoko [7]
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6 0
3 years ago
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Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles. The speed of
frosja888 [35]

The speed of the plane will be equal to 240 Mph.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

  • Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles.
  • The speed of the plane was 170 mph faster than the speed of the car.

The speed of the plane will be calculated as:-

Let the speed of the car will be x mph so the speed of the plane will be

(x + 170)

Now time for the plane:-

Tp = Dp / Sp

Tp = 1200 / (x+170)

Now time for the car:-

Tc = Dc / Sc

Tc = 350 / x

It is given that time taken by both the plane and the car are equal:-

Tp  =  Tc

1200 / x+170 = 350 / x

1200x = 350x +  59500

850x  = 59500

x  =  59500 / 850

x  =  70mph

The speed of the plane will be calculated By:-

Sp = x + 170 = 70 + 170 = 240 Mph

Therefore the speed of the plane will be equal to 240 Mph.

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4 0
2 years ago
Delia went to the market to buy 4.5 pounds of sliced fruit in a container.she paid with a 20 bill and a 5 bill and received 3.67
Goryan [66]

Answer:

<h2>One pound of the item will cost 4.74 bill</h2>

Step-by-step explanation:

In this problem, we are told that Delia bought 4.5 pounds of fruit

and paid with a toa total bill of 20+5= 25 bill

and also she received a  change of 3.67

this means that the item she bought cost 25-3.67= 21.33bill

now if 4.5 pounds of items cost 21.33 bill

then 1 pound will cost Xbill

cross multiply and solve for Xbill

X= 21.33/4.5

X= 4.74 bill

One pound of the item will cost 4.74 bill

4 0
3 years ago
A line passes through the point (9,-7) and has a slope of 4/3
lara31 [8.8K]

Answer:

y+7 = 4/3(x-9)

Step-by-step explanation:

Point slope form of an equation of a line is

y-y1 = m(x-x1) where (x1,y1) is the point and m is the slope

y--7 = 4/3(x-9)

y+7 = 4/3(x-9)

7 0
3 years ago
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Irina18 [472]

Answer:

2/5, 8/20, 4/10,16/40

Step-by-step explanation:

40%

Percent means out of 100

40/100 = 4/10 = 2/5

Lets look at the choices

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8/20 = 4/10 =2/5 = equal

4/10 = 2/5 = equal

16/40 = 4/10 = 2/5 equal

4 0
3 years ago
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