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Algebra

Make an equation to make the equation equal 12.

[tex]2x - 13 + x + 4 = 12[/tex]

Combine Like-Terms.

Make an equation.

[tex]3x - 9 = 12[/tex]

Add nine to both sides.

[tex]3x = 21[/tex]

Divide both sides by three.

[tex]x = 7[/tex]

Answer:

67.3 degrees

Step-by-step explanation:

Use tan ^-1

tan^-1 (55/23) = 67.3

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Explanation:

The table says that when x = 1, the output is y = -2.

So the point (1, -2) is on the parabola.

The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.

Find the slope of the line through those two points. The slope here is the same as the average rate of change.

m = (y2 - y1)/(x2 - x1)

m = (-10 - (-2))/(3 - 1)

m = (-10 + 2)/(3 - 1)

m = -8/2

m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.

Answer:

no idea

Step-by-step explanation:

[tex] \Large{\boxed{\sf F = 1.2 \times 10^{-12} \: N}} [/tex]

[tex] \\ [/tex]

The gravitational force in between two objects can be calculated using the following formula:

[tex] \boxed{\sf F = G \times \dfrac{m_1 \times m_2}{d^2}} [/tex]

Where:

[tex] \\ [/tex]

[tex] \Large{\sf Given \text{:} \begin{cases} \sf m_1 &=\sf 5 \: kg \\ \sf m_2 &=\sf 9 \: kg \\ \sf d &=\sf 50 \: m \\ \sf G &= \sf 6.67 \times 10^{-11} \: N.m^2.kg^{-2} \end{cases}} [/tex]

[tex] \\ [/tex]

Substitute these values into our formula:

[tex] \sf F = 6.67\times 10^{-11} \times \dfrac{5 \times 9}{50^2} = \boxed{\boxed{\sf 1.2 \times 10^{-12} N}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

144

Step-by-step explanation:

Plug in a and b

In this case a=4, b=3

(ab)^2

( (4)(3) )^2

(12)^2

12x12

144

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Answer:

144

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

(ab)²

a = 4

b = 3

Step 2: Evaluate

Answer:

Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.

Step-by-step explanation:

Answer:

linear

don't forget to follow me

Step-by-step explanation:

hope it helps you........

Answer:

y = 2x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (3, 6) into the partial equation

6 = 6 + c ⇒ c = 6 - 6 = 0

y = 2x ← equation of line

The equation of line that passes through the point (3,6) with slope 2 is;

⇒ y = 2x

Given that;

The point is (3, 6)

The slope of line = 2

We have to find the equation of a line that passes through the point (3,6) with slope 2.

What is equation of line?

The equation of line that passes through the point (x₁, y₁) with slope m is;

y - y₁ = m (x - x₁)

The point is (3, 6)

The slope of line = 2

The equation of line that passes through the point (x₁, y₁) = (3,6)

with slope(m) = 2 is;

y - y₁ = m (x - x₁)

y - 6 = 2 (x - 3)

y - 6 = 2x - 6

Add 6 on both sides;

y = 2x

Hence, The equation of line that passes through the point (3,6) with slope(m) 2 is;

⇒ y = 2x

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Answer:

7/3

Step-by-step explanation:

5/3 + 3/4 *8/9

First multiply

I like to rewrite to simplify

5/3 + (3/9 *8/4)

5/3 + (1/3 * 2/1)

5/3 + 2/3

Add ( they have like denominator)

7/3

Step-by-step explanation:

write what you know

P = 1,000

n = 5 years

Plan 1

i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%

write and solve

future value = p(1+i)^n = 1000(1+0.24)^5

plan 2

i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%

write and solve

future value = p(1+i)^n = 1000(1+0.20)^5

Answer:

Step-by-step explanation:

85=5x+10

85-10=5x

75/5=x

15=x

Answer:

615.75

Step-by-step explanation:

A=4 times pi times r squared

4 times pi times 49 = 615.752160104

Round it to 615.75

Answer:

Mean=85.5

Median=82

Mode=82

Range=25

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Answer:

Mean: 85

Median: 82

Mode: 82

Range: 25

Step-by-step explanation:

The mean is the average of all of the numbers. You add all of the numbers together and then divide by the total amount of number you have. In this case you have 8 scores. So you add all the scores together, and then divide by 8:

82 + 78 + 82 + 80 + 100 + 96 + 75 + 91 = 684

684/8 = 85.5

So 85 is the mean.

The median is the number that is in the middle of all of the numbers listed. To do this, first list the numbers in order:

75, 78, 80, 82, 82, 91, 96, 100

The two numbers in the middle are both 82. So, 82 is the median.

The mode is the number that appears the most. In this problem, you can see that the number 82 appears twice. So 82 is the mode.

The range is the highest number minus the smallest number. Here, the highest number is 100. The smallest number is 75. So,

100 - 75 = 25

25 is the range.

Answer:

y=1/3x+3

Step-by-step explanation:

the general equation for a straight line is y=mx+c.where c is the y cut therefore the y cut on our graph is at (0,3)therefore c is 3

we then find the gradient which is "m" on our equation using the formula m=y2-y1/x2-x1

then we substitute the m and c then tha is the equation.

Answer:

Step-by-step explanation:

Answer: The left is 2 and the right 7

Step-by-step explanation: 1 + 14 = 15  

2 + 7 = 9  Hope this helped!!

Answer:

alternate interior, 37 degrees

step-by-step explanation:

these are alternate interior angles and alternate interior angles are always equal :)

Ruby lost $45 so she can enter it into her account as this: C. -$45

Answer:

 (a) 9:15

  (b) 6:9

Step-by-step explanation:

Total apples: 15

6 : green

9 are red

9:15

6:9

Answer:

(a) 3 : 5

(b) 2 : 3

Step-by-step explanation:

= 9 apples

= 9 : 15

for simplified form dividing numerator and denominator by 3

= 3 : 5

= 6 : 9

for simplified form dividing numerator and denominator by 3

= 2 : 3

Answer: (x-5)(x^2+16)

Answer:

(- 6, 8 )

Step-by-step explanation:

Given the 2 equations

y = - [tex]\frac{1}{3}[/tex] x + 6 → (1)

x = - 6 → (2)

Substitute x = - 6 into (1) and evaluate for y

y = - [tex]\frac{1}{3}[/tex] × - 6 + 6 = 2 + 6 = 8

solution is (- 6, 8 )

Answer:

(a) $ 1191

(b) $ 1966.8

Step-by-step explanation:

Principal, P= $ 10000

Rate of interest, r = 6 % per year

time, t = 3 years = 36 months

(a) Interest per  year

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2[/tex]

Interest is given by = $11910.2 - $10000 = $ 1910.6

(b) interest per month

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8[/tex]

Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8

Answer:

Step-by-step explanation:

[tex]12(4x - 5) + \frac{5}{2}=10[/tex]

Multiply the whole equation by 2

[tex]2*12(4x -5) + \frac{5}{2}*2=10*2\\\\24(4x-5) + 2 = 20\\[/tex]

24*4x - 5*24 + 2 = 20

96x - 120 + 2 = 20

 96x - 118 = 20

Add 118 to both sides

       96x = 20 +118

       96x = 138

Divide both sides by 96

x = 138/96  = 23/16

[tex]x = 1 \frac{7}{16}[/tex]

Answer:

Step-by-step explanation:

Set up a right triangle to reflect the tangent ratio. Tangent is equal to the side opposite the reference angle over the side adjacent to the reference angle. If tangent is 4/3, then the side opposite the reference angle is 4 in length and the side adjacent is 3 in length. The reference angle, just for clarification, is the base angle that is not the right angle. So we have a right triangle with a height of 4 and a base of 3. We need the sin ratio from that. The sin ratio by definition is the side opposite the reference angle over the hypotenuse. But we don't have the hypotenuse. We have to solve for it using Pythagorean's Theorem.

[tex]h^2=4^2+3^2[/tex] and

[tex]h^2=16+9[/tex] and

[tex]h^2=25[/tex] so

h = 5. Now we find the sin ratio to be 4/5 (the side opposite the reference angle over the hypotenuse).

Answer:

I think the answer for this is A.

Step-by-step explanation:

since 25$ is added to get the everyday cost.

Answer:

y = 2x - 5

y = -x + 1

Step-by-step explanation:

y = 2x - 5

y = -x + 1

the systems have one solution

=> (2, -1)

Answer:

8 hours

Step-by-step explanation:

Equation: y = 7x + 11

67 = 7x + 11

Subtract 11 from both sides;

56 = 7x

Divide both sides by 7;

x = 8

Answer:

6

Step-by-step explanation:

10x6=60-2=58

Answer:

x = 6

Step-by-step explanation:

[tex]58 = 10x - 2 \\58 + 2 = 10x \\60 = 10x \\6 = x[/tex]