3 years ago

Amos bought 5 cantaloupes for $8. How many cantaloupes can he buy for $24?

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

Amos can buy 15 cantaloupes

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lan has a flower pot in the shape of a rectangular prism . The base of the flower pot is 36 square inches . The flower he's plan

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Answer:

108

Step-by-step explanation:

volume = area of the base * height
Area of the base = 36 square inches .
The height = 3 inches
36 * 3 = 108

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3 years ago

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Jamal is going to borrow $25,000 from his credit union to buy a used car. The APR is 7% and the length of the loan is 5 years. W

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his final charge is going to be 7

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3 years ago

Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun

WITCHER [35]

Answer:

Required solution (a) $f(x,y,z)=xyz+3z^2+C$ (b) 40.

Step-by-step explanation:

Given,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k$

(a) Let,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}$

Then,

$f_x=yz,f_y=xz,f_z=xy+6z$

Integrating $f_x$ we get,

$f(x,y,z)=xyz+g(y,z)$

Differentiate this with respect to y we get,

$f_y=xz+g'(y,z)$

compairinfg with $f_y=xz$ of the given function we get,

$g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)$

Then,

$f(x,y,z)=xyz+h(z)$

Again differentiate with respect to z we get,

$f_z=xy+h'(z)=xy+6z$

on compairing we get,

$h'(z)=6z\implies h(z)=3z^2+C$ (By integrating h'(z)) where C is integration constant. Hence,

$f(x,y,z)=xyz+3z^2+C$

(b) Next, to find the itegration,

$\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40$

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3 years ago

F (x) = 7 (x-1) +8 what is the value of f (1)

STALIN [3.7K]

Answer:

Step-by-step explanation:

f (x) = 7 (x-1) +8

For f(1) we plug 1 into x.

f(1) = 7 (1-1) +8

Simplify

f(1) = 8

8 0

2 years ago

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