All categories

2 years ago

Suppose that a point moves along some unknown curve y = f(x) in such a way that, at

Mathematics

1 answer:

Helga [31]2 years ago

4 0

Answer:

f(x) = x³/3 - 5/3

Step-by-step explanation:

To get the equation of the curve, integrate the slope

f(x) = integral of x²

= (x^(2+1))/3 + c

f(x) = x³/3 + c

To find c, use the given point

1 = 2³/3 + c

c = 1 - 8/3 = -5/3

f(x) = x³/3 - 5/3

You might be interested in

3) they will have the same solution because the first equation of system B is obtained by adding the first equation of system a

Andrej [43]

The two systems have the same solution.

The correct answer is 3) since the first equation of system B is indeed the addition of the first equation of system A and 4 times the second equation of system A.

Answer: 3)

8 0

3 years ago

You spin each spinner once. On the spinners, R represents red, B represents blue, G represents green, Y represents yellow, and P

NeTakaya

Answer:

1/6

1/12

1/2

Step-by-step explanation:

There are three possible outcomes in the left spinner, and four possible outcomes in the right spinner. So there are a total of 3×4=12 possible combinations. We can show that by making a grid:

$\left[\begin{array}{cccc}&R&B&G\\R&RR&BR&GR\\B&BR&BB&BG\\P&PR&BP&GP\\Y&RY&BY&GY\end{array}\right]$

Of these 12 combinations, 2 show both spinners landing on the same color (RR and BB). So the probability is 2/12 = 1/6.

There is only 1 outcome in which the first spinner lands on R and the second spinner lands on P (PR), so the probability is 1/12.

There are 6 outcomes in which the first spinner lands on R or the second spinner lands on P (RR, BR, PR, RY, BP, GP). So the probability is 6/12 = 1/2.

7 0

2 years ago

A survey of teens suggested that 33% can name at least one professional baseball player, and 90% of those teens can also name at

loris [4]

Answer:

$d.\ 0.33 + 0.64 – (0.90)(0.33) = 0.673$

Step-by-step explanation:

Given

$P(Baseball) = 33\%$

$P(Baseball\ n\ Football) = 90\%$

$P(Football) = 64\%$

Required

$P(Baseball\ or\ Football)$

This is calculated as:

$P(Baseball\ or\ Football) =P(Baseball) + P(Football) -P(Baseball\ n\ Football)$

$P(Baseball\ or\ Football) = 0.33 + 0.64 - (0.90)(0.33)$

$P(Baseball\ or\ Football) = 0.33 + 0.64 - 0.297$

$P(Baseball\ or\ Football) = 0.673$

3 0

2 years ago

1200/180 = (can someone please help me I'm desperate)

ASHA 777 [7]

Using a calculator, 1200/180 = 6.67 approximately

If you use long division, then you'll get what you see in the diagram below

The 6's go on forever after the decimal point, but if you round to two decimal places, then you'll get that approximate value of 6.67

---------------

If you want a remainder, then 1200/180 = 6 remainder 120

You can think of it like you having 1200 cookies and 180 friends. Each friend will get 6 whole cookies and there will be 120 left over as the remainder.

8 0

3 years ago

Plz help me out :( I really can't fail this

sergey [27]

Answer:

99.37

Step-by-step explanation:

Brief Math lesson:

If you, for example, pay 10% of your income of $100 to charity and 5% of it goes to taxes,

The amount that goes to charity can be found by using:

10% * 100 = 0.1 * 100 = 10

And the amount for taxes is

5% * 100 = 0.05 * 100 = 5

So the total is 15 dollars. And then, subtract that from your salary, so you would earn 85 dollars

We can also just find it by finding how much of a total percentage is being taken and subtract that by 100. (because you would keep the rest of the money)

(100% - (10% + 5%)) * 100 = 85% * 100 = 85

Now, let's apply this information.

First, figure out how much you need to pay in taxes, social security, etc.

15% + 6.44% + 6.2% + 1.45% = 29.09% of your money is given away. So, you would keep 100% - 29.09%, which is 70.91% kept

10.01 dollars an hour at 14 hours is 10.01*14 = 140.14 dollars

Now, multiply the percent of salary you keep by your salary.

140.14 * 70.91% = 140.14 * 0.7091 = 99.373274

This is, rounded,

99.37

Hope this helps! Feel free to ask any questions!

7 0

2 years ago