What is the value of b and c

Mathematics

1 answer:

Rina8888 [55]2 years ago

8 0

Answer:

its 7

Step-by-step explanation:

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There is an alien machine which produces seven aliens every two seconds. At this rate how many aliens will produces in one hour?

lyudmila [28]

Well, there are 60 minutes in 1 hour, and there are 60 seconds in 1 minute, so in 60 minutes, there are 60 * 60 seconds, or 3600 seconds in 60 minutes, or 1 hour, therefore, in 1 hour there are 3600 seconds.

the machine makes 7 aliens in 2 seconds, how many will it make in 3600 seconds?

$\bf \begin{array}{ccll}
aliens&seconds\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
7&2\\
a&3600
\end{array}\implies \cfrac{7}{a}=\cfrac{2}{3600}\implies \cfrac{7\cdot 3600}{2}=a$

that many.

3 0

3 years ago

Read 2 more answers

If your starting salary is $40,000 and you receive a 4.2% raise every year, how much TOTAL money will you make in 15 years?

Oliga [24]

The first year, the amount is 40,000

the second year is 40000 + 4.2% of 40000, or 0.042 * 4000, so 40000+(0.042*4000)
common factoring that we get 40000(1 + 0.042), or just 40000(1.042)

in short, the starting amount is 40000, and to get the next term's value you'd use the "common ratio" of 1.042, namely the multiplier of 1.042.

for the third year it'll be 40000(1.042) + (0.042 *40000(1.042) ), again, common factoring that

40000(1.042)(1 + 0.042) or 40000(1.042)(1.042) or 40000(1.042)²

therefore,

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=40000\\
r=1.042\\
n=15
\end{cases}
\\\\\\
S_{15}=40000\left( \cfrac{1-1.042^{15}}{1-1.042} \right)\implies S_{15}\approx 40000\left( \cfrac{-0.8536}{-0.042} \right)
\\\\\\
S_{15}\approx 812951.42$

5 0

3 years ago

The table shoes the results if a 100-meter race including the time in seconds for the first three finishers. The first-place fin

Luden [163]

For the answer to the question above asking how much faster than the second-place finisher? 1st place got 13.89 and 2nd place got 14.02.
Based on your question the
1st place is 13.89
2nd place is 14.02
Just get the difference

The 1st place is 0.13 milliseconds faster than the second. and that was too close.

6 0

2 years ago

Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function. Typ

Georgia [21]

The y-intercept of a function is the point where the graph crosses the $\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
The y-intercept is -13.5
The standard equation of the function is: $\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

(a) The factors

First, we write out the points where the function cross the x-axis.

The points are:

$\mathbf{x = 10}$