What is the sum of 4n² + 2n+ 12

Answer:

The value of the mutual force between them is 3.6 x 10⁶ N

Step-by-step explanation:

Given;

distance between the two-point charges, r = 2000 m

the value of the two-point charges, q₁ and q₂ = 40 C and -40 C

Coulomb's constant, k = 9 x 10⁹ Nm²/C²

The value of the mutual force between them is calculated by applying Coulomb's law;

[tex]F = \frac{K|q_1|q_2|}{r^2} \\\\F = \frac{(9 \times 10^9)(40\times 40)}{(2000)^2} \\\\F = 3.6 \times 10^6 \ N[/tex]

Therefore, the value of the mutual force between them is 3.6 x 10⁶ N.

Answer:

I think this is the answer 36 unit

Answer:

y=-25x+225

Step-by-step explanation:

The slope is -25 and I think the y-intercept is 225.

Hope this helps.

Answer:

Step-by-step explanation:

Since AB = AC and the triangle is isosceles:

The angles:

Answer:

x = 6

m∡ABC = 135°

Step-by-step explanation:

∡ABE ≅ ∡CBD therefore we can create the following equation:

3x + 27 = 45

3x = 18

x = 6

∡CBD and ∡ABC are supplementary so 180 - ∡CBD = m∡ABC

180 - 45 = m∡ABC

m∡ABC = 135°

Answer:

382 in ^3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can use this formula to find the equation of the line

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y - 11)/(23-11) = (x-1)/(3-1)

(y-11)/12 = (x-1)/2

y-11 = 6x-6

y = 6x + 5

the rate of change is the slope of the line, while the constant (5) is the y intercept

Answer:

53

Step-by-step explanation:

one angle is 37

the triangle means one is 90

a trianlge always = 180 total so

(37+90)-180

=53

Answer:

The mean is 6.

Step-by-step explanation:

To find the mean you need to do the following.

first, add up all the data to get a total.

next, count the amount of data you have.

lastly, divide the total by the count.

Answer:

6

Step-by-step explanation:

our given database is

2,3,6,6,7,8,8,8

add up all data:

[tex] \displaystyle \rm2 + 3 + 6 + 6+ 7 + 8 + 8 + 8[/tex]

[tex] \displaystyle = 48[/tex]

count the amount of data:

[tex] \displaystyle \boxed{ \begin{array} {ccc} \text{we have two 1 time} \\\text{we have three 1 time} \\ \text{we have six 2 times} \\ \text{we have seven 1 time} \\ \text{we have eight 3 time} \\ \hline \text{total} \quad \quad8\end{array}}[/tex]

divide the total by the count:

[tex] \displaystyle \frac{48}{8} [/tex]

[tex] \displaystyle = 6[/tex]

hence,

the mean of the database is 6

Answer:

x = {2, 8}

Step-by-step explanation:

(x - 3)^2 = 25

Take the square root of both sides

x - 3 = ±5

Add 3 to both sides

x = ±5 + 3

x = 5 +3 = 8

x = -5 + 3 = 2

x = {2, 8}

Answer:

x = 8, -2

Step-by-step explanation:

[tex](x-3)^2=25[/tex]

[tex](8-3)^2=25[/tex]          Substitute x for 8 the subtract 8 - 3

[tex](5)^2=25[/tex]                Multiply 5 by 5

[tex]25=25[/tex]

[tex](x-3)^2=25[/tex]

[tex](-2-3)^2=25[/tex]       Substitute x for -2 then subtract -2 - 3

[tex](-5)^2=25[/tex]             Multiply -5 by -5

[tex]25 = 25[/tex]

Answer:

10[tex]\pi[/tex]

Step-by-step explanation:

Length of arc = [tex]\frac{theta }{360} * 2\pi r[/tex]

= [tex]\frac{150}{360} * 2 \pi * 12\\[/tex]

= [tex]10\pi[/tex]

Answer:

39

Step-by-step explanation:

sin^-1(x)= 39/62

x= 38.97

x=39

Answer:

[tex] = 20x {}^{2} - 10x - 30[/tex]

Step-by-step explanation:

[tex]5(4 {}^{2} - 2x - 6) \\ area = 20 {x}^{2} - 10x - 30[/tex]

Answer:

Graph the line starting at the y intercept (-5), count up 1 and left 3 (because [tex]\frac{1}{3}[/tex] is negative). Once you have a few points draw the line to connect them.

Step-by-step explanation:

the slope is negative and the y-intercept is at -5

option 3

option2

hope helps you

have a nice day

1. The curve is a parabola with a vertex at (2,1) and is traced from left to right for increasing values of t.

Step-by-step explanation:

1. explanation is in the image

Answer:

8

Step-by-step explanation:

take the number of people in the audience and multiply by the percent that have green eyes to determine the number with green eyes

80 * 10 %

Change to decimal form

80 *.10

8

Answer:

so, as given 10% have green eyes,

10% of 80

10/100×80

800/100

=8

so 8 people have green eyes

Answer:

either take the value as 3.14 or press     SHIFT      x10^x

Answer:

option : x is positive

Step-by-step explanation:

[tex]log_2 x = y => x = 2^y[/tex]

Therefore, x is always positive

Answer:

Step-by-step explanation:

A = (4 , 6)

B = (7 , 4)

C= (5 , 1)

Answer: x = 7/3

Step-by-step explanation:

You join the X’s first which will give you

6x-14 = 0

Then you move the 14 to the right

6x = 14

Then you dived them and it give you 7/3

Hope this helped

Answer is 2

If 8x = 16y

on rearranging question,

x/y = 16/8 = 2

Answer:

[tex]\frac{x}{y} = 2[/tex]

Step-by-step explanation:

[tex]8x = 16y[/tex]

[tex]=> \frac{8x}{8} = \frac{16y}{8}[/tex]

[tex]=> x = 2y[/tex]

[tex]=> \frac{x}{y} = \frac{2y}{y}[/tex]

[tex]=> \frac{x}{y} = 2[/tex]

Answer:

r > 6.25 or r> -25/4

Step-by-step explanation:

[tex]16r > -100\\\\r > \frac{-100}{16}\\\\r> \frac{-25}{4}\\\\r> 6.25[/tex]

Answer:

step-by-step.

16r>−100

Step 1: Divide both sides by 16.

16r/16 > - 100/16

r> - 25/4

Step-by-step explanation:

Answer is r>-25/4

Answer:

y = 1x+14

Step-by-step explanation:

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1x+b

Substitute the point into the equation

10 = -4+b

Add 4 to each side

10+4 = -4+b+4

14 = b

y = x+14

Answer:

no it's equal to 3/2 because 2 negatives equal a positive number

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

No, it's not equivalent

Step-by-step explanation:

[tex]-(\frac{3}{2} ) = 1\frac{1}{2\\}[/tex]

[tex]-\frac{3}{2} = -1\frac{1}{2}[/tex]

Answer:

x = 10

Step-by-step explanation:

The bigger triangle is 2 times larger than the smaller triangle meaning all of the value of the smaller triangle are 2 times smaller than the bigger triangle and the bigger triangle is 2 times larger than the smaller triangle

Answer:

x = 10

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{6}{3}[/tex] = 2 ( multiply both sides by 5 )

x = 10

Answer:

Is there answer choices?

Step-by-step explanation:

Answer:

Is there answer choices?

Step-by-step explanation: