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3 years ago

Hello can anyone please help me find the answer to this.

Mathematics

1 answer:

Law Incorporation [45]3 years ago

8 0

Answer:

Step-by-step explanation:

No. Starting out, Maria walks away from home at a constant speed (which we recognize because the graph is at first a straight line). Then she stops for a little while, turns around and heads for home at the same speed as before (positively sloped graph), level graph, negatively sloped graph).

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R’(-1, 9) is the image of R after a reflection in the x-axis. What are the coordinates of R?

xz_007 [3.2K]

Answer:

Step-by-step explanation:

When we reflect over x-axis then the x-coordinate doesn't change and the y-coordinate changes its sign

in means if R = (x, y) then R' = (x, -y)

so we have:

x = -1 and -y = 9

y = -9

which gives R = (-1, -9)

6 0

2 years ago

The indicated function y1(x is a solution of the given differential equation. use reduction of order or formula (5 in section 4.

Taya2010 [7]

Given a solution $y_1(x)=\ln x$ , we can attempt to find a solution of the form $y_2(x)=v(x)y_1(x)$ . We have derivatives

$y_2=v\ln x$
${y_2}'=v'\ln x+\dfrac vx$
${y_2}''=v''\ln x+\dfrac{v'}x+\dfrac{v'x-v}{x^2}=v''\ln x+\dfrac{2v'}x-\dfrac v{x^2}$

Substituting into the ODE, we get

$v''x\ln x+2v'-\dfrac vx+v'\ln x+\dfrac vx=0$
$v''x\ln x+(2+\ln x)v'=0$

Setting $w=v'$ , we end up with the linear ODE

$w'x\ln x+(2+\ln x)w=0$

Multiplying both sides by $\ln x$ , we have

$w' x(\ln x)^2+(2\ln x+(\ln x)^2)w=0$

and noting that

$\dfrac{\mathrm d}{\mathrm dx}\left[x(\ln x)^2\right]=(\ln x)^2+\dfrac{2x\ln x}x=(\ln x)^2+2\ln x$

we can write the ODE as

$\dfrac{\mathrm d}{\mathrm dx}\left[wx(\ln x)^2\right]=0$

Integrating both sides with respect to $x$ , we get

$wx(\ln x)^2=C_1$
$w=\dfrac{C_1}{x(\ln x)^2}$

Now solve for $v$ :

$v'=\dfrac{C_1}{x(\ln x)^2}$
$v=-\dfrac{C_1}{\ln x}+C_2$

So you have

$y_2=v\ln x=-C_1+C_2\ln x$

and given that $y_1=\ln x$ , the second term in $y_2$ is already taken into account in the solution set, which means that $y_2=1$ , i.e. any constant solution is in the solution set.

4 0

2 years ago

15. Davis wants to pour 5 gallons of punch into

Sonja [21]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Davis wants to pour 5 gallons of punch into ½ gallon jugs How many jugs will he need?

A. 2½

B. 5½

C. 10

D. 15

Answer:

Number of jugs = 10

Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.

Step-by-step explanation:

David has 5 gallons of punch that he wants to pour into jugs.

The capacity of 1 jug is ½ gallon.

The required number of jugs may be found as

Number of jugs = gallons of punch/capacity of jug

For the given case, we have

Gallons of punch = 5

capacity of jug (in gallons) = ½ = 0.5

So, the required number of jugs is,

Number of jugs = 5/½

Number of jugs = 5/0.5

Number of jugs = 10

Therefore, Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.

7 0

3 years ago

Find the annual percentage yield in the case of a bank offers an APR of 2.25% compounded quarterly.

VMariaS [17]

Answer:

its 0%

Step-by-step explanation:

4 0

3 years ago

The Motor Vehicle Department has found that the probability of a person passing the test for a

Masja [62]

Answer:

1.25%

Step-by-step explanation:

75% of people pass first try

80% of people pass second try

70% of people pass thrid try

You have 25% of failing the frist time so then you will be in the 25% then the second time taking the test you have 20% of falling

100/75=25 25/20 1.25%

3 0

3 years ago