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2 years ago

Write the value of the underlined digit in 42,980,005

Mathematics

2 answers:

Reptile [31]2 years ago

8 0

Answer:

The first one is 900,000

The second one is also 900,000

Step-by-step explanation:

Arlecino [84]2 years ago

3 0

Step-by-step explanation:

1. hundred thousand

2.hundred thousand

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If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21

Ilya [14]

This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

$\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}$

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}$

and now let's use those 2 found folks, to get the 21st term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104$

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2 years ago

Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m above the ground. Find the velo

mr Goodwill [35]

Answer:

1350

Step-by-step explanation:

460 X 3

7 0

2 years ago

Determine whether the value given below is from a discrete or continuous data set. The volume of cola in a can is 11.1 oz. nothi

mars1129 [50]

Answer:

The given variable is a continuous variable.

Step-by-step explanation:

We are given the following variable in the question:

Variable: "The volume of cola in a can is 11.1 oz"

Discrete variable:

These can be expressed in whole numbers and cannot take value in decimals
They are counted not measured.
They cannot take any value within an interval.

Continuous Variable:

These can be expressed in decimal numbers.
They are measured not counted.
They can take any value within an interval.

Thus, the given variable which is volume is measured and can tale any value within an interval.

Thus, it is a continuous variable.

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2 years ago

Two spheres of the same density have a ratio of 4 to 9 in surface area. If the small sphere weighs 10 kg, what does the large sp

Murrr4er [49]

<span>w= 33.75, the weight of the larger sphere
</span>

8 0

2 years ago

Read 2 more answers

Which equation represents a proportional relationship that has a constant of proportionality equal to –10? y = x minus 10 y = x/

kicyunya [14]

Answer:

y=-10x

Step-by-step explanation:

y=-10x

y/x=-10

6 0

2 years ago