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2 years ago

If y+3 over 5=1 1 over 10, then y equals what

Mathematics

1 answer:

alisha [4.7K]2 years ago

7 0

There you go. I hope you understand it now.

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Mike used a rectangular prism and two cubes to create a model bench for his class project as shown below.

Assoli18 [71]

Surface area = 2(wl + hl + hw)

top section 2(5*25 + 5*25 + 5*5) = 550

lower part = 2(5*5 + 5*5 + 5*5) = 150

150 + 150 + 550 = 850

answer is A

3 0

2 years ago

The two dot plots show the results of rolling a die 15 times on two occasions. Comparing the variability of the dot plots, which

Anvisha [2.4K]

I think it's "The greater variability of the second 15 rolls is more like the expected result".

3 0

3 years ago

Read 2 more answers

Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13

babunello [35]

Answer:

-1/52 x^2

Step-by-step explanation:

4p(y-k)=(x-h)^2

4(-13)y=x^2

-52y=x^2

y=-1/52 x^2

3 0

2 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

2 years ago

2 Points

Over [174]

Answer:

A. Five places to the left

Step-by-step explanation:

Scientific notation is a method used so we can show a very big/small number easier. Rather than putting so many zeroes, we put the number in the format of a number multiplied by 10^x.

Before putting a number into scientific notation, you need to know which number is a significant figures. In this question, there are two significant figure which is 39, all zeroes on the right is insignificant. We can move the decimal to convert the number into 3.9 * 10^5. Basically you need to move the decimal to the left if the exponent positive, but move it to the right if its negative. The exponent is +5 so we move the decimal points 5 places to the left.

6 0

2 years ago