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agasfer [191]
3 years ago
8

Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 Write an equation to determine th

e weight, w of each of Carl's checked bags
Mathematics
1 answer:
dangina [55]3 years ago
4 0

Answer: 2w + 4 = 35

Step-by-step explanation:

Carl's two checked bags and his one backpack together weigh 35kg.

Carl's two checked bags have equal weight so both their weight can be denoted as 2w.

Equation is;

2w + 4 = 35

If you were to solve;

2w + 4 = 35

2w = 35 - 4

w = 31/2

w = 15.5kg

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vesna_86 [32]

Answer:

19/4 or 4.75

Step-by-step explanation:

Week 1: 1 1/8 = 1.125

Week 2: -2 5/8 = -2.625*

Week 3: 1 3/4 = 1.75

Week 4: -1 1/2 = -1.5

Week 5: 2 1/8 = 2.125*

2 1/8 - (-2 5/8) = 2.125 - (-2.625)

19/4 or 4.75

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At the beginning of year 1, Jonah invests $300 at an annual compound
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Answer:

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Step-by-step explanation:

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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

3 0
3 years ago
A cosine function has a period of 5, a maximum value of 20, and a minimum value of 0. The function is not a reflection of its pa
Alika [10]

Answer:

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Step-by-step explanation:

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The remaining choice A matches the description.

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Which verbal expression best represents the algebraic expression 3n-4?
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Answer:

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Step-by-step explanation:

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3 years ago
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