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dedylja [7]
3 years ago
8

In a video game, minerals are mined at a rate of 0.8 minerals per second. The player starts off with 250 minerals. This can be r

epresented by M(s) = 250 + 0.8s. What does M(45) represent?
The time to mine 45 minerals


The number of minerals mined in 45 seconds


The time to mine 250 minerals


None of these
Mathematics
2 answers:
Grace [21]3 years ago
8 0
The answer is... the number mined in 45s or 45 seconds. Hope this helps.
galben [10]3 years ago
7 0
Answer:
<span>The number of minerals mined in 45 seconds
</span>
Explanation:
The given equation is:
M(s) = 250 + 0.8s

Let's check each term in this equation:
M(s) represents the minerals mined in s seconds
250 is the initial value
0.8s represents the rate of increase of the minerals mined in s seconds

Now, based on the above:
M(45) would represent the minerals mined at s=45 seconds

Hope this helps :)
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Multiplying Powers with the Same Base
Luda [366]

Applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. 5 \times 5^3 = 5^4

2. 5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3} = 5^{10}

To multiply the powers having the same base, we will apply the product rule for exponents.

<h3>What is the Product Rule for Exponents?</h3>
  • Base on the product rule for exponents, we have, a^m \times a^n = a^{m + n} = a^{mn}.
  • In order to find the products of two given numbers that have the same base, the exponents would be added together.

1. 5^6 \times 5^{-4

Add the exponents together

5^6 \times 5^{-4} = 5^{(6) + (-4)}

5^6 \times 5^{-4} = 5^2

2. 5 \times 5^3

Add the exponents together

5 \times 5^3 = 5^{(1 + 3)}

5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3}

Add the exponents together

5^{-3} \times 5^{-3} = 5^{(-3) + (-3)

5^{-3} \times 5^{-3} = 5^{-6

5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0

Add the exponents together

5^{-4} \times 5^{4} \times 5^0 = 5^{(-4) + (4) + (0)

5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3}

Add the exponents together

5^{7} \times 5^{3} = 5^{10}

In summary, applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. 5 \times 5^3 = 5^4

2. 5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3} = 5^{10}

Learn more about product rule of exponents on:

brainly.com/question/847241

5 0
2 years ago
What is the slope of the line represented by the equation y = 6x - 12?
Anuta_ua [19.1K]
There are different types of equations of lines. 
There are these three main forms, but I'll focus on just 2: 

Slope-Intercept Form:
y = mx + b 

Where,
"m" = slope
"b" = y-intercept

Point-Slope Form:
y - y1 = m(x - x1)

Where, 
"m" = slope
"y1" = A y point on the graph
"x1" = A x point on the graph that correlates with the y value.

y = 6x - 12

Is in the same form of Slope-Intercept: 

So,

y = 6x - 12

m = 6 
b = -12

So our slope is, 
6

Keep in mind if it was a fraction (Example: 6/5, then the slope is 6/5) the slope will be the entire fraction. 

Also remember slope is the RISE over the RUN meaning it is the y value over the x value. So in this case we would go UP 6 and right 1 (because 6 is understood as 6/1). 
6 0
2 years ago
What is 179.9526 rounded to the nearest tenth
vitfil [10]

Answer:

180.0

Step-by-step explanation:

4 0
2 years ago
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Hayley wanted to play football but, they only had 5 trying out they needed a total of 11 players, how many more do they need?
GaryK [48]
Hello!

To solve this you subtract the needed players by the amount of players they have

11 - 5 = 6

The answer is 6 players

Hope this helps!
5 0
3 years ago
Read 2 more answers
The sum of three consecutive even numbers is 174. What is the smallest of the 3 numbers?
Anarel [89]

The smallest value is 56.

First even number + second even number + third even number = 174

First even number: x

Second even number: x + 2

Third even number: x + 4

So, (x) + (x+2) + (x+4) = 174

3x + 6 = 174

3x = 168

x = 56

(56 + 58 + 60 = 174)

7 0
3 years ago
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