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Paladinen [302]
2 years ago
9

What is 0.514 written as a power of 10? 514 x 102 514 x 103 514 x 10-3

Mathematics
2 answers:
vovikov84 [41]2 years ago
8 0
0\underbrace{.514}_{3\to}=514\cdot10^{-3}
nika2105 [10]2 years ago
8 0

Answer:

=514\times10^{-3}

Step-by-step explanation:

The given number which needs to be written in power of 10 is 0.514

There are three digits after the decimal point. Hence, when we eliminate decimal, we need to divide the number by 1000

0.514=\frac{514}{1000}

Now, we can write 1000=10^3

=\frac{514}{10^3}

Now, we can use the exponent rule \frac{1}{x^a}=x^{-a}

=514\times10^{-3}

Thus, the number as a power of 10 is

=514\times10^{-3}

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Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
tigry1 [53]

Answer:

M(x,y) = (1,3) belongs to the line y = 2\cdot x +1. Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

y=k\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

k - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that b = 1, x = 1 and y = 3, then we clear slope and solve the resulting expression:

k = \frac{y-b}{x}

k = \frac{3-1}{1}

k = 2

Then, we conclude that point M(x,y) = (1,3) belongs to the line y = 2\cdot x +1, whose graph is presented below.

3 0
1 year ago
Help me with this question!!!
qwelly [4]

Step-by-step explanation:

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2

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6 0
1 year ago
Read 2 more answers
Every day a student randomly chooses a sandwich for lunch from a pile of wrapped sandwiches. If there are six kinds of sandwiche
balu736 [363]

Answer:

279,936 ways

Step-by-step explanation:

Every day the student has to chose a sandwich from the pile of 6 sandwiches.  So this means the student has to make a choice from the 6 sandwiches for the 7 days. Since the order matters, this is a problem of permutations.

Daily the student has the option to chose from 6 sandwiches. So this means, for 7 days, he has to make a choice out of 6 options. Or in other words we can say, the student has to make selection from 6 objects 7 times.

So, the total number of ways to chose the sandwiches will be 6 x 6 x 6 x 6 x 6 x 6 x 6 = 6^{7}

Alternate Method:

Since the repetition can occur in this case, i.e. a sandwich chosen on one day can also be chosen on other day, the following formula of permutations ca be used:

Number of ways =  n^{r}

where n is the total number of choices available which is 6 in this case and r is the number of times the selection is to be made which 7 in this case. So,

The number of ways to chose a sandwich will be = 6^{7} = 279936 ways

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1 year ago
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Wittaler [7]
Based on my calculations, this would be 10%.
4 0
1 year ago
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Gavin and Jack are practicing shots against their goalie. On their last 15 attempts, Gavin made 6 and Jack made 7. Based on this
statuscvo [17]

Answer:

\dfrac{14}{75}

Step-by-step explanation:

Gavin made 6 out of 15 shots, so the probability that Gavin's next shot will be  successful is

\dfrac{6}{15}=\dfrac{2}{5}

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The probability that they both make their next shot successfully is

\dfrac{2}{5}\cdot \dfrac{7}{15}=\dfrac{14}{75}

5 0
2 years ago
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