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3 years ago

3,15,75,375 common ratio

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

4 0

Answer:

1/5

Step-by-step explanation:

When we read sequences, we read left to right.

When finding the common ratio, you can use any two consecutive numbers, and it'll always give you the same ratio.

For instance,

3:15=1/5

15:75=1/5

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(05.02 MC)

Anon25 [30]

Option C:

It is $\frac{1}{3}$ throughout the line.

Solution:

Point on the larger shaded triangle are (0, 0) and (–6, –2).

Point on the smaller shaded triangle are (–6, –2) and (–9, –3).

Slope of the line:

$$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Slope of the larger triangle:

Here, $x_{1}=0, y_{1}=0, x_{2}=-6, y_{2}=-2$

$$m=\frac{-2-0}{-6-0}$

$$m=\frac{-2}{-6}$

$$m=\frac{1}{3}$

Slope of the smaller triangle:

Here, $x_{1}=-6, y_{1}=-2, x_{2}=-9, y_{2}=-3$

$$m=\frac{-3-(-2)}{-9-(-6)}$

$$m=\frac{-3+2}{-9+6}$

$$m=\frac{-1}{-3}$

$$m=\frac{1}{3}$

Both slopes are equal.

It is $\frac{1}{3}$ throughout the line.

Hence option B is the correct answer.

8 0

3 years ago

A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams.

never [62]

Answer:

Step-by-step explanation:

Each atom of the gas weighs 1.67 ⋅ 10−24 grams. 6.71 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71. ... 0.67 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71 ⋅ 10−1.

3 0

3 years ago

Use the properties of exponents to simplify the expression

ExtremeBDS [4]

Option B is correct after applying the property of integer exponent and simplification.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have:

$=\rm (x.x^{-3}.y^{\dfrac{1}{3}})^2$