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3 years ago

Explain how you can tell me 4/5 is in simplest form.

1 answer:

6 0

4/5 is in simplest form because you cannot find a common number that is divisible by both 4 and 5. Thus, you would leave your answer as 4/5... simplest form.

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Steven’s mother asked him to buy 750 grams of sugar. At the supermarket, he finds that the sugar packages give the weight in kil

9966 [12]

1, 000 grams = 1 kg
(divide both sides by 1, 000)
1 gram = 1/1, 000 kg
750 grams = 750 x (1/1000) kg = 0.75 kg

Therefore, Steven needs to buy 0.75 kg of sugar!

hope this helps! let me know if you need help with anything else! :)

7 0

3 years ago

Consider the differential equation,

kondor19780726 [428]

Answer:

The two solutions are given as $y_1(t)=\dfrac{1}{9}e^{-8t}+\dfrac{8}{9}e^{t}$ and $y_2(t)=\dfrac{-1}{9}e^{-8t}+\dfrac{1}{9}e^{t}$

Step-by-step explanation:

As the given equation is

$y''+7y'-8y=0\\$

So the corresponding equation is given as

$m^2+7m-8=0$

Solving this equation yields the value of m as

$(m+8)(m-1)=0\\m=-8, m=1$

Now the equation is given as

$y(t)=C_1e^{m_1t}+C_2e^{m_2t}$

Here m1=-8, m2=1 so

$y(t)=C_1e^{-8t}+C_2e^{t}$

The derivative is given as

$y'(t)=-8C_1e^{-8t}+C_2e^{t}$

Now for the first case y(t=0)=1, y'(t=0)=0

$y(t=0)=C_1e^{-8*0}+C_2e^{0}\\1=C_1+C_2\\\\y'(t=0)=-8C_1e^{-8*0}+C_2e^{0}\\0=-8C_1+C_2$

So the two equation of co-efficient are given as

$C_1+C_2=1\\-8C_1+C_2=0$

Solving the equation yield

$C_1=1/9 \\C_2=8/9$

So the function is given as

$y_1(t)=\dfrac{1}{9}e^{-8t}+\dfrac{8}{9}e^{t}$

Now for the second case y(t=0)=0, y'(t=0)=1

$y(t=0)=C_1e^{-8*0}+C_2e^{0}\\0=C_1+C_2\\\\y'(t=0)=-8C_1e^{-8*0}+C_2e^{0}\\1=-8C_1+C_2$

So the two equation of co-efficient are given as

$C_1+C_2=0\\-8C_1+C_2=1$

Solving the equation yield

$C_1=-1/9 \\C_2=1/9$

So the function is given as

$y_2(t)=\dfrac{-1}{9}e^{-8t}+\dfrac{1}{9}e^{t}$

So the two solutions are given as $y_1(t)=\dfrac{1}{9}e^{-8t}+\dfrac{8}{9}e^{t}$ and $y_2(t)=\dfrac{-1}{9}e^{-8t}+\dfrac{1}{9}e^{t}$

7 0

3 years ago

If x=-1 and y= -2, then which of the following statements are true?

muminat

Answer:

lxl<lyl

Step-by-step explanation:

because if we solve the equation we need to do x_y = -1-2

••xy=1

6 0

3 years ago

What is this in scientific notation?!!!!

BlackZzzverrR [31]

0.000006 is 6 x 10^-6

3 0

3 years ago

The two dice are rolled. what is the theoretical chance that they land to form a sum of 11?

Rufina [12.5K]

Answer:

Propability of getting either sum is 2/9

Step-by-step explanation:

Well, we know that there are 36 total arrangements of the two six sided die. So we have a possibility of 3,4 and 4,3. Likewise, we have a possibility of 5,2 and 2,5. We also have a possibility of 1,6 and 6,1. That takes care of the probability That you get two die that add up to 7. Now for 11, you have 5,6 and 6,5. So since you asked for the probability of getting either or, you add all the probabilities, which is 6/36+2/36=8/36=2/9. So the probability of getting either sum is 2/9.

5 0

4 years ago