Find the 2nd term in the expansion of (1+3y)5

Answer:

y= -x+8

Step-by-step explanation:

y=m+b Replaced M with -1 which will be -x.

y= -x+b Then replace the b with 8.

y= -x+8  

You do -x because its the same as -1.

Answer:

y = -x + 8

Step-by-step explanation:

Hi there!

We are given that the slope of a line is -1 and the y intercept of that same line is 8

We want to find the equation in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given the values of the slope and the y intercept, we can simply substitute these values into the formula to find the equation.

First, substitute -1 as m in the equation:
y=-x+b (when 1 is the coefficient, you don't need to write '1' in front of a variable; when -1 is the coefficient, putting only a - sign will suffice)

Now substitute 8 as b in the equation

y = -x + 8

Hope this helps!

See more on this topic here: https://brainly.com/question/27187813

Answer:

The volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]

Step-by-step explanation:

Let r be the radius of each sphere

We are given that distance between their centers is [tex]\frac{r}{2}[/tex]

Let [tex](\frac{-r}{4},0)[/tex] be the center of sphere 1 and [tex](\frac{r}{4},0)[/tex]be the center of sphere 2 .

Using the disk points

a=0 and b =[tex]\frac{3r}{4}[/tex]

[tex](x+(\frac{r}{4}))^2+y^2=r^2\\V=2 \int_{0}^{\frac{3r}{4}} \pi y^2 dx\\V=2 \int_{0}^{\frac{3r}{4}} \pi [r^2-(x+(\frac{r}{4}))^2]dx\\V=\frac{27 \pi r^3}{32}[/tex]

Hence the volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]

In attached diagram, we can see 2 circumferences with radius r, and separated centers by r/2.

The solution is:

V = (11/12)×π×r³

Let´s call circumferences  1 and 2, by symmetry, rotating area A will produce a volume V₁ identical a V₂, Obtained by rotating area B ( both around x-axis), then the whole volume V will be:

V = 2× V₁

V₁ = ∫π×y²×dx         (1)

Now

( x - r/2)²  +  y² = r²       the equation of circumference 1

y² = r² - ( x - r/2)²

Plugging this value in equation (1)

V₁ = ∫π×[  r² - ( x - r/2)²]×dx        with integrations limits    0 ≤ x ≤ r/2

V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx

V₁ = π× [  r²×x - x³/3 + (r/2)²×x - (1/2) ×r×x²]    evaluate between 0 and r/2

V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) ×r×x²]

V₁ =  π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ -  (1/2) ×r×(r/2)²]

V₁ =  π× [ (5/8)×r³ - r³/24 - r³/8]

V₁ =  π× (11/24)×r³

Then

V = 2× V₁

V = 2×π×11/24)×r³

V = (11/12)×π×r³

Related Link : https://brainly.com/question/14301190

Answer:

Step-by-step explanation:

1. 120+21=141

2. 21-3=18

3. 7x-21

4. 20+x

5. 45+4x

6. 40+5c

7. 20+22r+26s

It will be nice if you give me brainliest

Good luck!

Answer:

y=7x+4

Step-by-step explanation:

Answer: $49

Step-by-step explanation: if there are 7 days in a week and he is saving for 7 weeks, its 7 x 7= 49

Answer:

64$ if he doinles

Step-by-step explanation:

1,2,4,8,16,32,64

Step-by-step explanation:

12 / x¹⁴ = 12x⁻¹⁴

Integrate using power rule.

-12/13 x⁻¹³

-12 / (13x¹³)

You forgot the negative sign.

Answer:

b

Step-by-step explanation:

Answer: Yes you can but it would be the same as dividing 10 by 3, it would just be a repeating fraction

Answer:

I can’t divide 2 by 9 because the number 9 is greater than 2. In other words, there are no 9s in 2

Step-by-step explanation:

Answer:

(`1/4)^4

Step-by-step explanation:

Since the probability of landing on a head is theoretically the same as that of landing on tails, and since the four flips are entirely independent of one another, the desired probability is

(1/2)^4 or 1/16

answer:

50

explanation:

Answer: 20/3 square inches

Step-by-step explanation:

Area = length*width

length = 5 in.

width = 4/3 in.

A = 5 * (4/3) = 20/3 in^2

Answer:

Year 7

Step-by-step explanation:

Hopefully this is helpful.

Answer:

ik im late and the other person was right but theres proof for the newcomers :)

Step-by-step explanation:

Answer:

3 and one third

Step-by-step explanation:

(3 1/3)

Answer:

- 14

Step-by-step explanation:

Step 1:

- 0.5x - 3 = 4      Equation

Step 2:

- 0.5x = 7        Add 3 on both sides

Step 3:

x = 7 ÷ - 0.5      Divide

Answer:

x = - 14

Hope This Helps :)

Answer:

.001 or 1 thousandth

Step-by-step explanation:

.01/10=.001

Answer:

Where are the answers to choose from?

Answer:

x = 1

Step-by-step explanation:

9x−4=2x+3 Move all terms containing x to the left side of the equation.

7x−4=3 Move all terms not containing x to the right side of the equation.

7x=7 Divide each term by 7 and simplify. x = 1

Answer:

3x^2+x-2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

D. To provide a contrast to the actual enormity of the Biltmore

Step-by-step explanation:

Usually, when something is in "quotes", it's used to indicate sarcasm, emphasis, or a direct quote. This indicated emphasis.

Answer:

No

Step-by-step explanation:

Let's break this down...

9.03+10.71 is 19.74 and subtracted by 6.8 it will be 12.94 not 13.94 so it is not correct

So the answer is No

Hope this helps!

Answer:

No, it is 12.94

Step-by-step explanation:

9.03 + 10.71 = 19.74, 19.74 - 6.8 = 12.94

Answer:

Here's the parallel line: y = 5x - 4