What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?
12C7(3)7
12C8
12C4(3)4
12C8(3)8

Answer:

B

Step-by-step explanation:

3a + 11 > 5

3a > -6

a > -2

Answer:

7/6

Step-by-step explanation:

1/3=2/6

2/6+5/6=7/6

Answer:1.16666666667

Step-by-step explanation:

Answer:k so graph 4 and then go 2 down for every one to the right and for the second one start by graphing -3 and go 5 up for every 1 to the right

Step-by-step explanation:here are some points -> (0,4) (1,2) (2,0) and for the second one -> (0,-3) (1,2) (2,7) and solution to lines is (1,2)

Answer:

The velocity is 8.93 meters/second.

Step-by-step explanation:

It is given that  Elena runs for 28 seconds and finishes at 250 meters.

Here the displacement is 250 meters and the time is 28 seconds.

We know that  [tex]V=\dfrac{\text{Displacement}}{\text{Time}}[/tex]

Substitute displacement = 250 and time = 28 in above formula.

[tex]V=\dfrac{250}{28}[/tex]

[tex]V\approx 8.93[/tex] meters/second

Hence, the velocity is 8.93 meters/second.

Answer:

[tex]f(x) = x^{2} - 1[/tex]

Step-by-step explanation:

The definition of even function is: [tex]f(x) = f(-x)[/tex]

I am going to assume the  second option is [tex]f(x) = x^{2} - 1[/tex] and the answer.

[tex]f(x) = x^{2} - 1\\f(-x) = (-x)^{2} - 1 = x^{2}-1[/tex]

Answer:

Quadrant 2

Step-by-step explanation:

Quadrant 1: Positive x and Positive y

Quadrant 2: Negative x and Positive y

Quadrant 3: Negative x and Negative y

Quadrant 4: Positive x and Negative y

For point (-4, 7), we have a Negative x and Positive y  so it belongs in Quadrant 2.

Answer:

(4,4)

Step-by-step explanation:

There are two ways that you can solve this. You can solve it with the help of technology or you can solve it traditionally. I will show how to do it in both ways so you can pick which way you want to solve it.

Traditional Method:

5x - 2y = 12

6x + 2y = 32

Look at the variables and numbers in both equations. One of them has to be the same value but have to have opposite signs. The 2y in both equations are the same value but have different signs. That's what we want. We can add everything in the equation now. (5x + 6x), (-2y + 2y), and (12 + 32).

11x = 44

To get x alone, Divide each side by 11. Then we will get the value of x.

11/11x = 44/11

x = 4

Horray! We got x, but what about y? Pick one of the equations. I will go with 5x - 2y = 12. Substitute the x value inside the equation.

5(4) - 2y = 12

20 - 2y = 12

-2y = -8

y = 4

Good! We figured out y. Now we know the solution! The solution is (4,4).

Technology Method:

Grab a graphing calculator. Enter the equations. You will see two lines. Look at where they intersect. The point where they intersect is the solution. That line is (4,4). You could also do this on a piece of paper by graphing the equations.

I hope this helps! Let me know if you need any more help or if I got anything wrong.

Answer:

A slope of 2

Step-by-step explanation:

(-1,-3) (3,5)

x1  y1  x2 y2

y2-y1/x2-x1= slope

5-(-3)/3-(-1)=

5+3/3+1= 8/4= 2

Answer:

33 dollars

Step-by-step explanation:

Answer:

Am pretty sure its 36

Step-by-step explanation:

1. 20% of 60 is 12

2. 1/4 of 60 is 12

3. 12 + 12 = 24

4. 60 - 24 = 36

Answer: 0.796 meters

Step-by-step explanation:

Circumference of circle = [tex]2\pi r[/tex] , where r=radius

Here, Circumference of loop = 2.5 meters

i.e. [tex]2\pi r=2.5[/tex]

[tex]\Rightarrow\ r=\dfrac{2.5}{2\pi}[/tex]

[tex]\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m[/tex]

Diameter = 2r = 2(0.398) = 0.796 meters

Hence, The diameter of Taiga's exercise hoop = 0.796 meters

Answer:

D

Step-by-step explanation:

3.5 + 2.75 = 6.25

6.25/4.23 = 1.42 L

Approximately 1.48  liters of punch does this recipe make.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Missy makes punch for a party. She uses 3 1/2 cups of water, 2 3/4 cups of frozen pineapple juice.

∴ The total volume of the punch is ([tex]3\frac{1}{2} + 2\frac{3}{4}[/tex]) = 7/2 + 11/4 = (14 + 11)/4 = 25/4

cups of punch.

Now, 1 liter is 4.23 cups.

∴ 25/4 or 6.25 cups is (6.25/4.23) = 1.48 liters.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Answer:

vh ,mnjjhbjvj n

Step-by-step explanation:

Answer:

Use your notes or watch

videos about it

Step-by-step explanation:

answer:

don't know, don't worry

mark me as brainlist

Answer:

y=2x-16

Step-by-step explanation:

so gradient is 8-(-8)/ 12-4

so 16/8 which is 2

equation of line is: y= 2x+c

substitute the values into x,y

8=2(12)+c

8=24+c

8-24=c

-16= C

this is because when it goes over the equal sign it becomes negative so now the equation is y=2x-16

Answer:

Y=2x+16

Step-by-step explanation:

2 triangular faces

1/2bh

10x15=150

2x150= 300

‘back’ face

7x20=140

‘front’ face

7x25= 175

‘bottom’ face

7x15= 105

total: 585m^2

Answer:

October 7, October 13, 0ctober 19

Step-by-step explanation:

Jog = every 2 days

Next days from October 1 = October 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31

Pilates = every 3 days

Next days from October 1 = October 4, 7, 10, 13, 16, 19, 22, 25, 28, 31

What are the next three dates on which he will jog and do Pilates?

= October 7, October 13, 0ctober 19

The next three dates on which he will jog and do Pilates are October 7, October 13, 0ctober 19

Answer:

4.65

Step-by-step explanation:

144.15/31=4.65

Answer: $320

Step-by-step explanation:

A principal of $4,000 was invested.

The principal increases at a rate of 8% every year by simple interest.

After 1 year the total in the account can be calculated by the formula:

= Principal * ( 1 + rate * time)

= 4,000 * ( 1 + 8% * 1)

= $4,320

Interest:

= Amount after a year - original price

= 4,320 - 4,000

= $320

Answer: See explanation

Step-by-step explanation:

To solve the equivalent fraction to 2/6, you divide or multiply the numerator and the denominator by thesame set for numbers. For example

2/6 = (2 × 3) / (6 × 3) = 6/18

2/6 = (2 ÷ 2) / (6 ÷ 2) = 1/3

The above fractions are both equivalent fractions of 2/6

Answer:

The cost of her old laptop would be $52.

Step-by-step explanation:

[tex] \frac{125\%}{65 \: dollars} = \frac{100\%}{n} [/tex]

Answer: c

..........................

Answer:

-44 feet deep

In other words: 44 feet below ground

Step-by-step explanation:

First we have to write out the equation that the problem creates for us.

-48 - 11 + 15

Next we just have to subtract and add:

-48-11 = -59

-59+15 = 44

There we go! That's our answer.

Answer:

huh?

Step-by-step explanation:

Answer:

I think it is 19 1/4

Step-by-step explanation:

How I got this was I took 21 3/4 and subtracted 2 1/2 which gave me 19 1/4.

Hope this is right and helps.