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Hatshy [7]
3 years ago
15

What is the answer to 54 & 55?

Mathematics
1 answer:
MrRissso [65]3 years ago
5 0
\frac{d}{dx} [x^{a}] = ax^{a-1}
\\ \frac{d}{dx} [x^{-4}] = -4x^{-5}
\\ \frac{d}{dx} [x^{1/5}] = 1/5 \cdot x^{-4/5}
You might be interested in
A 60 by 80-foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the
alekssr [168]

Answer: 17.14 ft

<u>Step-by-step explanation:</u>

The area of the flower bed is 60 ft x 80 ft = 4800 ft²

The perimeter of the sidewalk that surrounds the flower bed is:

  •   2(60 ft) + 2(80 ft)
  • = 120 ft + 160 ft
  • = 280 ft

The area of the sidewalk is:

  • perimeter x width
  • = 280w

area of sidewalk = area of flower bed

280w = 4800

\text{w}=\dfrac{4800}{280}

  =\dfrac{120}{7}

  ≈ 17.14


8 0
3 years ago
What is the inverse of f(x) = x/5 -2
Cerrena [4.2K]

Answer:

y= 5x+10

Step-by-step explanation:

Inverse basically means y is now x and x is now y.

y= x/5 -2 becomes x= y/5 -2

Remember to always leave your equation f(x) = ...

i.e. y =...

x= y/5 -2

add 2 both sides

x+2 = y/5

multiply 5 both sides

5(x+2) = y

Hence,

y= 5x + 10

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

8 0
3 years ago
Eighteen less than three times a number is twice the number. Write and solve
goblinko [34]

Answer:

The number is 18

Step-by-step explanation:

You can write an equation to represent this. Let x represent the unknown number.

3x - 18 = 2x

Move 2x to the left side. Remember, "change the side, change the sign." Add 0 as a placeholder to the right of the equals sign.

3x - 2x - 18 = 0

Simplify like terms.

x - 18 = 0

Move -18 to the right of the equals sign.

x = 18

Now that we know x = 18, we can substitute it into the problem.

"Eighteen less than three times 18 is two times 18."

18 x 3 = 54

54 - 18 = 36

36 is, in fact, two times 18. We can check this by dividing 36 by 2.

36 ÷ 2 = 18

8 0
3 years ago
I just don’t feel like doing the work.... wanna help?
nata0808 [166]
38% GOOD LUCK ya ya sus
6 0
3 years ago
Read 2 more answers
Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance
Feliz [49]

Answer:

9.5

Step-by-step explanation:

Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance.

Step 1

We find the Mean of the numbers

Mean = Sum of terms/ Number of terms

Mean = 9+12+9+14+6/5

= 50/5

= 10

Step 2

We find the sample variance

Formula =

(x - Mean)²/n - 1

n = 5

= (9 - 10)²+(12 -10)²+(9- 10)²+(14-10)²+(6-10)²/5 - 1

= 1+ 4+ 1+ 16+16/5 - 1

= 38/5 - 1

= 38/4

= 9.5

Therefore, Sample variance = 9.5

3 0
3 years ago
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