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3 years ago

3-74. Mentally calculate the following products. Use the rule for decimal multiplication to write an equation in

1 answer:

8 0

B. -.0006

C. .28

Multiply 3 and 2 and you would get 6 then move the decimal 4 places to the left and you would get .0006

Multiply 7 and 4 and you would get 28 then move the decimal places 2 spaces to the left and you would get .28

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2.96 as a mixed number or fraction in simplest form

USPshnik [31]

Answer:

2.96 = 2 96/100 = 2 24/25

7 0

3 years ago

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A coin is tossed 20 times. The outcomes H (for heads) and T (for tails) are recorded:

lina2011 [118]

After all 20 tosses of the coin, a tail was recorded 11 times. We can write this as 11/20.

To convert this into a decimal, we simply multiply the numerator and denominator by 5 so that the fraction is out of 100, giving us 55/100.
When we do the sum of 55 ÷ 100, we get the answer of 0.55.

I hope this helps!

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3 years ago

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BRAINLIEST + 25 POINTS! ASAP

puteri [66]

y-y1=m(x-x1)

y=40/9(x+4)+20

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3 years ago

Solve the following differential equation: y" + y' = 8x^2

PtichkaEL [24]

Answer:

$y=y_p+y_h = \frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$

Step-by-step explanation:

Let's find a particular solution. We need a function of the form $y= ax^3+bx^2+cx+d$ such that

$y'= 3ax^2+2bx+c$ and

$y''= 6ax+2b$

$y'+y''= 3ax^2+2bx+c+6ax+2b = 3ax^2+x(2b+6a)+(c+2b) = 8x^2$

then, 3a= 8, 2b+6a =0 and c+2b = 0. With the first equation we obtain

a = 8/3 and replacing in the second equation 2b+6(8/3) = 2b + 16 = 0. Then, b = -8. Finally, c = -2(-8) = 16.

So, our particular solution is $y_p= \frac{8}{3}x^3-8x^2+16x$ .

Now, let's find the solution $y_p$ of the homogeneus equation $y''+y'=0$ with the method of constants coefficients. Let $y=e^{\lambda x}$

$y'=\lambda e^{\lambda x}$

$y''=\lambda^2e^{\lambda x}$

then $\lambda e^{\lambda x}+\lambda^2 e^{\lambda x} = 0$

$e^{\lambda x}(\lambda +\lambda^2)= 0$

$(\lambda +\lambda^2)= 0$

$\lambda (1+\lambda)= 0$

$\lambda =0$ and $\lambda)= -1$ .

So, $y_h = C_1 + C_2e^{-x}$ and the solution is

$y=y_p+y_h =\frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$ .

5 0

3 years ago

REALLY NEED ALGEBRA HELP please

lisabon 2012 [21]

A. The discriminant is 81. The formula is b^2 - 4ac.

B. 2 answer and both will be rational due to the fact that the discriminant is a perfect square.

C. Solutions are 1/2 and -4. You can find using the quadratic formula.

8 0

3 years ago