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mihalych1998 [28]
3 years ago
8

The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm. What is the volume of the pyram

id? 48 cm3 72 cm3 32 cm3 60 cm3​
Mathematics
1 answer:
Anettt [7]3 years ago
4 0

Answer:

72cm

Step-by-step explanation:

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Multiply 2 1/2 * 3/5 in simplest form show work
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I can’t show work but the answer is 3/5

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A scientist is studying the population growth rates of two different species of rats in the same laboratory conditions. The popu
Korolek [52]

Since, population of species A is represented by : P=2^{x} +19

Let us find the population of species A, at the end of week 1:

i.e., x = 1

i.e., P(1)=2^{1} +19

i.e., P(1)=2 +19

i.e., P(1)=21


Also, since population of species B is represented by : P=3^{x} +18

Let us find the population of species B, at the end of week 1:

i.e., x = 1

i.e., P(1)=3^{1} +18

i.e., P(1)=3 +18

i.e., P(1)=21


Thus, at the end of 1 week, species A and species B will have the same population.

Hence, option D is correct.

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3 years ago
on a piece of paper graph the system of equations then determine which answer choice matches the graph you drew and identify the
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Answer:

the solution is (-2,3)

Step-by-step explanation:

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3 years ago
Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

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3 years ago
Miles bought a 10 ounce bag of chips. He wants to know if it's really 10 ounces, so he uses a scale and makes four measurements.
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I would say that the last one would be the most accurate.
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