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jeyben [28]
3 years ago
15

Brandon enters a contest at the gym. He earns 1 point for his first workout. If he works out the next day, he earns double the p

oints of the previous day. Brandon creates the graph to show the number of points that can be earned on the nth consecutive day of working out.
A graph shows day of workout labeled 1 to 10 on the horizontal axis and daily points earned on the vertical axis. A line increases from 1 to 7.

How many points will Brandon earn on day 8 if he works out each of the previous 7 days?

8
32
64
128
Mathematics
1 answer:
solniwko [45]3 years ago
3 0

Answer:

128

Step-by-step explanation:

You start out with one point on day one. The second day, your points are doubled. Each day after that is doubled from the previous day. So, the second day, you have 2 points. Multiply that by 2 to get 4 for day three.

Day four:4 x 2 = 8.

Day five: 8 x 2 = 16.

Day six: 16 x 2 = 32

Day seven: 32 x 2 = 64

Day eight: 64 x 2 = 128

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What is the value of the following expression?
monitta

The expression (−81)(−9)  will give the value of 729.

<u>Step-by-step explanation:</u>

The given expression is (−81)(−9) .

The both numbers in the expression are negative numbers and they are given inside the brackets.

This means that, the negative numbers must be multiplied to get a final value.

<u>The rules in multiplication are :</u>

  • Positive number × Positive number = positive number
  • Negative number × Positive number = negative number
  • Positive number × Negative number = negative number
  • Negative number × Negative number = positive number

From the rules, it can be determined that the result of any two negative numbers will be a positive number.

So, eliminate option A) and B) because they have negative sign.

The expression (−81)(−9) = -81 × -9

⇒ 729.

Therefore, the option C) and D) are not in match with 729. None of the options are not the value of the given expression (−81)(−9).

6 0
3 years ago
a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.
spin [16.1K]

Answer:

\huge\boxed{7.79 \ \text{feet}}

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that a^2+b^2=c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79

Hope this helped!

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saw5 [17]

Answer:

The slope is \frac{-1}{3}.

Step-by-step explanation:

Math Vocabulary            Values

Vertical Change                 -1

Horizontal Change             3

Slope                                   \frac{-1}{3}

8 0
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Divide both sides by 3:

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The answer is D. 9

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