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2 years ago

The number 90 is 125% of what number

Mathematics

1 answer:

Pavel [41]2 years ago

8 0

Answer:

Step-by-step explanation:

90 = 125%

90 ÷ 5 = 25% = 18

18 x 4 = 72

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Find the values for a, b, and c that complete the simplification.

lisov135 [29]

Answer: A: 6

B: 4

C: 2

Step-by-step explanation:

8 0

3 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function f, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to x :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to y :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with f , then differentiate both sides with respect to z :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to z :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

2 years ago

PLEASE HELP! I don’t understand how to do it :(

SVEN [57.7K]

r/s ×3

calculate the product

r×3/s

use the commutative property to reorder the terms

Answer : 3r/s

PLEASE MARK ME AS BRAINLIEST

3 0

3 years ago

Read 2 more answers

Consider these functions

vitfil [10]

9514 1404 393

Answer:

C. 3x² +24

Step-by-step explanation:

Use the given function definitions and simplify.

$g(f(x))=g\left(\dfrac{1}{3}x^2+4\right)\\\\=9\left(\dfrac{1}{3}x^2+4\right)-12\\\\=3x^2+36-12\\\\\boxed{g(f(x))=3x^2+24}\qquad\textbf{matches C}$

5 0

2 years ago

There are 22 animals in the barn. Some are geese and some are goats. There are 82 legs in all. How many of each animal are there

Free_Kalibri [48]

Let the number of geese be x.

Then number of goats is 22-x.

A goose has 2 legs, and a goat has 4.

There are a total of 82 legs.

So,

2x + 4(22-x) = 82

2x + 88 - 4x = 82

-2x = -6

x = 3

There are 3 geese and (22-3=) 19 goats.

Please mark Brainliest if this helps and feel free to ask doubts!

7 0

3 years ago