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Marat540 [252]
3 years ago
8

4. What inequality represents the amount of hours the student can work each month? Make a graph.

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

Answer:

View Image

Step-by-step explanation:

4.

Solve for either of the variable. I solved for c because it looked easier.

Set c = 0 to solve for the x-intercept so that you can graph it. c is just your y-value in this case and m is your x-value.

I got m=90 which means it crosses the x-axis at 90. I also know it cross the y-axis at 90 because c = 90 - m is in the form of slope-intercept formula. The 90 in there is the y-intercept.

The sign is a > so it's a dotted line shaded above the graph.

5.

Same process as part 4. Set c=0 to find the x-intercept. I got m=100 which means it cross the x-axis at 100.

The y-intercept is in the equation itself c = 80 - 4/5m. The y-intercept is 80.

The sign is a ≥ so it's a solid line shaded above the graph.

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Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time d
pogonyaev

Answer:

He isn't correct. He spent 25% more time this week than the previous one.

Step-by-step explanation:

We will make proportion.

first week 20 hours  is 100%

second week 25 hours is x%

20 : 25 = 100 : x

When we multiply external and internal members we get:

20x =25 · 100 =>  x = 2500/20 = 125%

We conclude the following:

Evan spent 125% of the time in hours compared to the last week or Evan spent 25% more time this week than the previous one.

God with you!!!


7 0
3 years ago
circle a has a radius of 7 and arcs rc cs and sm are congruent to the nearest hundereth what is the length of arc rc
oksian1 [2.3K]
The complete question in the attached figure

we know that
[arcs rc +arc cs arc sm]---------------> they take up half a circle-------->180°
<span> they are all congruent
so
divide 180 by 3 ----------------> 180/3=60</span>°


Find the length of arc rc=60°<span>

if 360</span>°----------------> (2*pi*7) length of circumference 
60° -------------------> X
<span>X=60*2*pi*7/360------------> 7.327 units

the answer is
</span>the length of arc rc= <span>7.33 units

</span>

3 0
3 years ago
Let Y be a random variable with a density function given by
Neporo4naja [7]

From the given density function we find the distribution function,

F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y

(a)

F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)

\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1

\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}

(b)

F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y

\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2

\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}

(c)

F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})

\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3

\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}

5 0
3 years ago
Find the percent increase. Round to the nearest percent.<br> From 17 friends to 19 friends
enyata [817]

I do believe it would be 12 percent, if rounded.

3 0
3 years ago
Kym plans to deposit $100 in an account at the end of each month for the next five years so that she can take a trip. (a) If Kym
yaroslaw [1]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Monthly deposit= $100

Interest rate= 0.06/12= 0.005

Number of periods= 12*5= 60 months

<u>a)</u>

<u>To calculate the future value, we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.005^60) - 1]} / 0.005

FV= $6,977

b) <u>If the deposit is at the beginning of the month, the interest is compounded one more period</u>. We need to use the following formula:

FV= {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}

FV= 6,977 + {[100*(1.005^60)] - 100}

FV= 6,977 + 35

FV= $7,012

3 0
3 years ago
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