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2 years ago

1.

1 answer:

5 0

First round 4 were helped then 4*4 , then 4^3 and so on .
so during the sixth round 4^6 friends were helped

4^6 = 4096

2. = 2(-2)^4 - 3(3)^3
= 2 * 16 - 3*27
= 32 - 54
= 22

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What is log Subscript 15 Baseline 2 cubed rewritten using the power property?

nalin [4]

Answer:

The equivalent expression

Step-by-step explanation:

Assuming your expression is $\log_{15}2^3$ , then we can use the power property of logarithm , which is $\log_ab^n=n\log_ab$ .

If we let a=15, b=2, and n=3

Then using the power property of logarithm will give us:

$\log_{15}2^3=3\log_{15}2$

Using the power property of logarithm, the equivalent expression is $3\log_{15}2$

7 0

2 years ago

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Find the value of the expression below for x = 10

In-s [12.5K]

The first one A.10

I hope is correct.

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2 years ago

Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the fun

netineya [11]

Answer:

3x < 4x < 3x + 8 < 4x + 3 < x² < x² + 6

Step-by-step explanation:

This is because as x → ∞

3x → 3∞ ,

Also, as x → ∞

4x → 4∞ ,

Also, as x → ∞

3x + 8 → 3∞ + 8,

Also, as x → ∞

4x + 3 → 4∞ + 3 ,

Also, as x → ∞

x² → ∞²,

Also, as x → ∞

x² + 6 → ∞² + 6

and 3∞ < 4∞ < 3∞ + 8 < 4∞ + 3 < ∞² < ∞² + 6

Thus as x → ∞

3x < 4x < 3x + 8 < 4x + 3 < x² < x² + 6 in ascending order

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2 years ago

What is the 103rd term of the arithmetic sequence

UNO [17]

Answer:

option B: 31/4

Step-by-step explanation:

Given

-3/4, -2/3 , -7/12, -1/2...........

General formula for arithmeti sequence to find nth term is

a_n = a_1 + (n-1) d

first term a_1 = -3/4

We find out common difference 'd'

Lets find the difference of first two terms

$\frac{-2}{3} -\frac{-3}{4} = \frac{-8}{12} +\frac{9}{12} =\frac{1}{12}$

common difference is 1/12

now we need to find 103rd term

$a_n = a_1 + (n-1) d$

First term is -3/4, d= 1/12

$a_{103} = \frac{-3}{4}+(103-1)\frac{1}{12}$

$a_{103} = \frac{-3}{4}+(102)\frac{1}{12}$

$a_{103} = \frac{-3}{4}+\frac{34}{4}$

$a_{103} = \frac{-3+34}{4}$

$a_{103} = \frac{31}{4}$

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2 years ago

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Why do scientists prefer the metric system (meters, grams, etc?

nirvana33 [79]

Everything is counted by 10's, so it's less of a chance of errors.

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2 years ago