MATHEMATICS HIGH SCHOOL

Lake City has a population of 3600 and is expected to grow by a factor of 1.3 every 10 years. Which is the best estimate of Lake City's population 50 years from now?

A.23,400

B.18,000

C.13,400

D.4,680

Answers

Answer 1
Answer: If you would like to estimate Lake City's population 50 years from now, you can do this using the following steps:

1.3 * 3600 = 4680
1.3 * 4680 = 6084
1.3 * 6084 = 7909.2
1.3 * 7909.2 = 10281.96
1.3 * 10281.96 = 13366.548 = 13400

The correct result would be C. 13,400.

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Solve and SHOW YOUR WORK for the equation 4m + 2(m + 1) = 9m + 5Solve and SHOW YOUR WORK for the equation 3(4x – 2) = 9 + 2x + 5

Answers

4m + 2(m + 1) = 9m + 5

What we need to do here is combine like terms, then apply the inverse operation, and finally, isolate the variable. 

Here's how it's done: 

4m + 2m + 2 = 9m + 5
4m and 2m are like terms, so add them together. 
4m + 2m = 6m 

6m + 2 = 9m + 5
-6m         -6m

2 = 3m + 5
-5          -5

3m = -3
3m/3 = -3/3
m = -1 should be your answer.


Next one: 3(4x – 2) = 9 + 2x + 5
12x - 6 = 9 + 2x + 5
 -2x              -2x

10x - 6 = 9 + 5
10x - 6 = 14
        +6   +6

10x = 20
x = 2 should be your answer.

Add 12 to me then add another 12 if you subtract 9 and then add 7 you get 24 what number am i

Answers

Answer:

...let x be the number

x+12+12-9+7=24

x+31-9=24

x+22=24

x=24-22=2

i am 2

Step-by-step explanation:

Multiple Response: Please select all correct answers and click "submitWhich expressions are equivalent to the one below? Check all that applyA- 125.5B- 53 xC. 253x

Answers

The correct answers are A and B.

The vertices of a triangle are listed below. E(-1, 2), F(-5, -1), G(-1, -4) What is the area of the triangle? A. 24 square units B. 12 square units C. 16 square units D. 6 square units

Answers

Answer:

B. 12 square units

Step-by-step explanation:

Answer: 12 square units

Step-by-step explanation: 1/2(6)(4)

Find the third directional cosine (there are two of them with opposite signs) if it is known that two directional cosines are equal to 1/2 and 1/3

Answers

Answer:

To find the third directional cosine, we need to use the property that the sum of the squares of the directional cosines is equal to 1.

Let's denote the three directional cosines as cosα, cosβ, and cosγ. Given that two directional cosines are equal to 1/2 and 1/3, we can set up the following equations:

cosα = 1/2

cosβ = 1/3

To find cosγ, we can rearrange the equation for the sum of the squares of the directional cosines:

cos²α + cos²β + cos²γ = 1

Substituting the given values, we have:

(1/2)² + (1/3)² + cos²γ = 1

Simplifying the equation, we get:

1/4 + 1/9 + cos²γ = 1

To solve for cos²γ, we can combine the fractions:

(9/36) + (4/36) + cos²γ = 1

(13/36) + cos²γ = 1

Now, we can solve for cos²γ by subtracting 13/36 from both sides:

cos²γ = 1 - 13/36

cos²γ = 23/36

Taking the square root of both sides, we find:

cosγ = √(23/36)

Since we are looking for the third directional cosine, there are two possible solutions, one positive and one negative. So, the third directional cosine can be either √(23/36) or -√(23/36).

In conclusion, the third directional cosine, cosγ, is either √(23/36) or -√(23/36).

Write an equation in the form of y=mx for the proportional relationship that passes through the points (2, -15) and (6, -45).

Answers

Answer:

Answer will be :

Y= -15/2x
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