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2 years ago

5 x 10^5 is how many times as large as 1 x 10^5?

Mathematics

2 answers:

wariber [46]2 years ago

7 0

Answer:

5 times as large

Step-by-step explanation:

I did the question

Oxana [17]2 years ago

4 0

Answer:

5 times as large

Step-by-step explanation:

You can think of "10^5" as "green marbles" if you like. Then your question is ...

5 green marbles is how many times as large as 1 green marble.

Hopefully, the answer is all too clear: it is 5 times as large.

_____

In math terms, when you want to know how many times as large y is as x, the answer is found by dividing y by x:

y/x . . . . . tells you how many times as large as x is y.

Here, that looks like ...

$\dfrac{5\times 10^5}{1\times 10^5}\\\\=\dfrac{5}{1} \qquad\text{the factors of $10^5$ cancel}\\\\=5$

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3 years ago

What is the value of x

viktelen [127]

Answer:

X=14

Step-by-step explanation:

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3 years ago

Find the oth term of the geometric sequence 7, 14, 28, ...

yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

$\frac{14}{7}=2,\:\quad \frac{28}{14}=2$

The ratio of all the adjacent terms is the same and equal to

$r=2$

now substituting r = 2 and a₁ = 7 in the nth term

$a_n=a_1\cdot r^{n-1}$

$a_n=7\cdot \:2^{n-1}$

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

6 0

2 years ago

The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of

Amiraneli [1.4K]

The area A of a trapezoid with height h and bases b₁ and b₂ is equal to the average of the bases times the height:

A = (b₁ + b₂) h / 2

We're given A = 864, h = 24, and one of the bases has length 30, so

864 = (b₁ + 30) 24 / 2

864 = (b₁ + 30) 12

72 = b₁ + 30

b₁ = 42

5 0

3 years ago

Charles bought 7/8 foot of electrical wire and 5/6 foot of copper wire for his science project .What is the least common denomin

coldgirl [10]

Answer:

The least common denominator of the fractions is 24

Step-by-step explanation:

we know that

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions

we have

7/8

Multiples of 8 -------> 8,16,24,32,...

5/6

Multiples of 6 -------> 6,12,18,24,...

24 is a common multiple of 6 and 8. It is their lowest common multiple

Alternative Method

we have

$8=2^{3}$

$6=2*3$

The least common multiple are those common and non-common numbers with the greatest exponent

$lcm= 2^{3}*3=24$

6 0

3 years ago