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Oksana_A [137]
2 years ago
15

How to calculate the Perimeter of a rectangle with length 7ft and width 3ft

Mathematics
1 answer:
Umnica [9.8K]2 years ago
7 0

Answer:

Multiply each measurement by 2 then add them together

          OR

Add 7 + 3 and multiply by 2

Step-by-step explanation:

Answer would be 20ft

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A news report suggested that an adult should drink a minimum of 4 pints of water per day.
spin [16.1K]

9514 1404 393

Answer:

  448

Step-by-step explanation:

(4 pt/da)×(7 da/wk)×(16 oz/pt) = 448 oz/wk

That would be 448 fluid ounces per week.

3 0
2 years ago
3x² + 2x + 2 + 4x2 + 5 simplify​
Y_Kistochka [10]

Answer:

3x^2+2x+15

Step-by-step explanation:

3x^2+2x+2+(4x2)+5

use pemdas

6 0
3 years ago
Read 2 more answers
Can someone help me with these two problems and show work please !!
irina1246 [14]
Work is attached to this post

5 0
1 year ago
Read 2 more answers
Find dy/dx if f(x) = (x + 8)^3x.
vlabodo [156]
This is quite a complex problem. I wrote out a really nice solution but I can't work out how to put it on the website as the app is very poorly made. Still, I'll just have to type it all in...

Okay so you need to use a technique called logarithmic differentiation. It seems quite unnatural to start with but the result is very impressive.

Let y = (x+8)^(3x)

Take the natural log of both sides:

ln(y) = ln((x+8)^(3x))

By laws of logarithms, this can be rearranged:

ln(y) = 3xln(x+8)

Next, differentiate both sides. By implicit differentiation:

d/dx(ln(y)) = 1/y dy/dx

The right hand side is harder to differentiate. Using the substitution u = 3x and v = ln(x+8):

d/dx(3xln(x+8)) = d/dx(uv)

du/dx = 3

Finding dv/dx is harder, and involves the chain rule. Let a = x+ 8:

v = ln(a)
da/dx = 1
dv/da = 1/a

By chain rule:

dv/dx = dv/da * da/dx = 1/a = 1/(x+8)

Finally, use the product rule:

d/dx(uv) = u * dv/dx + v * du/dx = 3x/(x+8) + 3ln(x+8)

This overall produces the equation:

1/y * dy/dx = 3x/(x+8) + 3ln(x+8)

We want to solve for dy/dx, achievable by multiplying both sides by y:

dy/dx = y(3x/(x+8) + 3ln(x+8))

Since we know y = (x+8)^(3x):

dy/dx = ((x+8)^(3x))(3x/(x+8) + 3ln(x+8))

Neatening this up a bit, we factorise out 3/(x+8):

dy/dx = (3(x+8)^(3x-1))(x + (x+8)ln(x+8))

Well wasn't that a marathon? It's a nightmare typing that in, I hope you can follow all the steps.

I hope this helped you :)
8 0
3 years ago
Look at the pic and help if you can thxxxx
givi [52]

Answer:

The 1,3,and 4.

Step-by-step explanation:

6 0
3 years ago
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