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Jet001 [13]
3 years ago
10

Simplify the expression 8h +(-7.7d) - 13+5d - 3.1h.

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0

Answer:

4.9h−2.7d−13

Step-by-step explanation:

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This is False

Step-by-step explanation:

-5+30<-10

False

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Which transformation would take Figure A to Figure B?​
masya89 [10]

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What is the sum of the finite arithmetic series?
mariarad [96]

The underlying arithmetic progression is

-15, 0, 15, 30, ...

starting with a_1=-15 and with a common difference of d=15 between terms. Recursively, this sequence is given by

\begin{cases}a_1=-15\\a_n=a_{n-1}+15&\text{for }n>1\end{cases}

So we have

a_2=a_1+15

a_3=a_2+15=a_1+15\cdot2

a_4=a_3+15=a_1+15\cdot3

and so on, so that the explicit rule for the sequence is

a_n=a_1+15(n-1)=15n-30

for n\ge1.

The series consists of 15 terms, since

195=15n-30\implies15n=225\implies n=15

So we have

-15+0+15+\cdots+195=\displaystyle\sum_{n=1}^{15}(15n-30)=15\cdot\frac{15\cdot16}2-30\cdot15=1350

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4 0
3 years ago
The moon has a radius of 1736 1736 kilometers. The earth has a radius of 6371 6371 kilometers. How many times as large is the vo
Vlad1618 [11]

Answer:

The volume of the Earth is 49 times as large as that of the moon

Step-by-step explanation:

Firstly, we consider that both entities are spherical in shape.

Mathematically, the volume of a sphere = 4/3 * pi * r^3

The volume of the moon with radius 1736 kilometers will be ;

4/3 * pi * 1736^3 = (20,927,105,024 π)/3 km^3

The volume of the earth with radius 6371 kilometers will be;

4/3 * pi * 6371^3 =( 1,034,386,411,244 π)/3 km^3

Now to get the number of times the earth is as big as the moon, we simply divide the volume of the earth by that of the moon.

= ( 1,034,386,411,244 π)/3 divided by (20,927,105,024 π)/3

= 1,034,386,411,244/20,927,105,024 = 49.43 which is approximately 49 times

3 0
3 years ago
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