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lora16 [44]
2 years ago
11

4. Lola is 15 years old and works in a factory every weekend. Why might this be illegal? What are the specific laws protecting L

ola's rights?
Mathematics
1 answer:
gulaghasi [49]2 years ago
5 0
This is not illegal because she is 15. in factories you have to be at least 15 years old. but age 16 is the appropriate age for you to work in a factory. 
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Solve the given initial value problem and determine how the interval in which the solution exists depends on the initial value y
zalisa [80]

Answer:

y has a finite solution for any value y_0 ≠ 0.

Step-by-step explanation:

Given the differential equation

y' + y³ = 0

We can rewrite this as

dy/dx + y³ = 0

Multiplying through by dx

dy + y³dx = 0

Divide through by y³, we have

dy/y³ + dx = 0

dy/y³ = -dx

Integrating both sides

-1/(2y²) = - x + c

Multiplying through by -1, we have

1/(2y²) = x + C (Where C = -c)

Applying the initial condition y(0) = y_0, put x = 0, and y = y_0

1/(2y_0²) = 0 + C

C = 1/(2y_0²)

So

1/(2y²) = x + 1/(2y_0²)

2y² = 1/[x + 1/(2y_0²)]

y² = 1/[2x + 1/(y_0²)]

y = 1/[2x + 1/(y_0²)]½

This is the required solution to the initial value problem.

The interval of the solution depends on the value of y_0. There are infinitely many solutions for y_0 assumes a real number.

For y_0 = 0, the solution has an expression 1/0, which makes the solution infinite.

With this, y has a finite solution for any value y_0 ≠ 0.

8 0
2 years ago
FIRST ONE TO ANSWER GETS BRAINLIEST Henry divided his socks into five equal groups. Let s represent the total number of socks. W
Alex777 [14]

Answer: There are 20 socks in the first case and there are 75 socks in the second case.

Step-by-step explanation:

Since we have given that

Number of equal groups = 5

Let the total number of socks be 's'.

According to question, expression will be

Now, Suppose number of socks in each group = 4

So, it will become,

Suppose number of socks in each group = 15

So, Total number of socks become

Hence, there are 20 socks in the first case and there are 75 socks in the second case.

3 0
2 years ago
A recipe calls for 5 ounces of vinegar and 10 ounces of oil. Daren is making dressing with 9 ounces of vinegar using the same ra
g100num [7]

Answer:

Step-by-step explanation:

Set this up as ratio of vinegar to oil in fraction form:

\frac{v}{o}:\frac{5}{10}

That's what we're given.  If we are looking to find how much oil he needs if he's using 9 ounces of vinegar, then 9 goes on top with the vinegar stuff and x goes on bottom as the unknown amount of oil:

\frac{v}{o}:\frac{5}{10}=\frac{9}{x}

Cross multiply to get

5x = 90 and

x = 18

Which you probably could do without the proportions.  If he is using 5 ounces of vinegar and double that amount of oil, then it just makes sense that if he uses 9 ounces of vinegar he will double that amount in oil to use 18 ounces.

6 0
2 years ago
An animal park has lions, tigers and zebras. 20% of the animals are lions and half of the animals are zebras. If there are 120 a
RoseWind [281]

Answer:

36\ tigers

Step-by-step explanation:

Let

x ----> the number of lions

y ----> the number f tigers

z ----> the number of zebras

we know that

x+y+z=120 ----> equation A

Remember that

20\%=20/100=0.20

50\%=50/100=0.50

To find out the number of lions, multiply the total animals by the percentage of lions

x=0.20(120)=24\ lions

To find out the number of zebras, multiply the total animals by the percentage of zebras

z=0.50(120)=60\ zebras

Substitute the value of x and the value of z in equation A and solve for y

24+y+60=120

y+84=120

y=36\ tigers

6 0
1 year ago
What is 2 (log Subscript 3 Baseline 8 + log Subscript 3 Baseline z) minus log Subscript 3 Baseline (3 Superscript 4 Baseline min
Ilya [14]

Answer:

Value of expression in single logarithm is \log_3\left(2z^2\right).

Step-by-step explanation:

Given expression is,

2\left(\log_3\left(8\right)+\log_3\left(z\right)\right)-\log_3\left(3^4-7^2\right)

Now using logarithmic rule to solve the expression as follows,

Applying product rule of logarithmic,

\log_c\left(a\right)+\log_c\left(b\right)=\log_c\left(ab\right)

Therefore,

2\log_3\left(8z\right)-\log_3\left(3^4-7^2\right)

Applying power rule of logarithmic,

a\log_c\left(b\right)=\log_c\left(b^a\right)

Therefore,

\log_3\left(\left(8z\right)^2\right)-\log_3\left(3^4-7^2\right)

\log_3\left(\left(64z^2\right)\right)-\log_3\left(3^4-7^2\right)

Applying quotient rule of logarithmic,

\log_c\left(a\right)-\log_c\left(b\right)=\log_c\left(\frac{a}{b}\right)

Therefore,

\log_3\left(\dfrac{\left(64z^2\right)^2}{3^4-7^2}\right)

Simplifying,

\log_3\left(\dfrac{\left(64z^2\right)^2}{81-49}\right)

\log_3\left(\dfrac{\left(64z^2\right)^2}{32}\right)

\log_3\left(2z^2\right)

Therefore value of expression is \log_3\left(2z^2\right)

6 0
2 years ago
Read 2 more answers
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