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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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After a certain medicine is ingested, its concentration in the bloodstream changes over time.
myrzilka [38]

Answer:

Every hour, the medicine concentration decays by a factor of 4%.

Step-by-step explanation:

The relationship between the elapsed time, <em>t</em>, in minutes, since the medicine was ingested, and its concentration in the bloodstream, <em>C</em> (<em>t</em>), is:

C(t)=61\cdot (0.96)^{t}

The decay function is:

y=a(1-r)^{t}

Here,

<em>y</em> = final amount

<em>a </em>= initial amount

<em>r</em> = decay rate

<em>t</em> = time

From the provided expression the decay rate is:

1-r=0.96\\r=1-0.96\\r=0.04

Thus, every hour, the medicine concentration decays by a factor of 4%.

8 0
2 years ago
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Find the distance between (-4,-3) and (-2,0). Round your answer to the nearest tenth.
Kazeer [188]

Answer:

just count the spaces between (-4, -3) (-2,0)

Step-by-step explanation:

use rise and run or sum else

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2 years ago
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Identify a transformation of the function ƒ(x) = x by observing the equation of the function g(x) = m ⋅ x, with m &gt; 1
lara [203]

If f(x) = x, or 1x, then g(x) = m*x multiplies the slope of the original function by a factor of m.

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In a group of students, 30 played chess, 19 played volleyball, 25 played
saul85 [17]

Answer:

Explained below.

Step-by-step explanation:

Denote the events as follows:

<em>C</em> = chess

<em>V</em> = volleyball

<em>B</em> = basketball

The data provided is as follows:

n (C) = 30

n (V) = 19

n (B) = 25

n (C ∩ V) = 14

n (B ∩ V) = 8

n (B ∩ C) = 15

n (C ∩ V ∩ B) = 5

Consider the Venn diagram below.

The number of students who played only chess is marked in pink:

n (Only C) = 6

The number of students who played only volleyball is marked in blue:

n (Only V) = 2

The number of students who played only basketball is marked in orange:

n (Only B) = 7

The number of students who played all three is marked in grey:

n (C ∩ V ∩ B) = 5

5 0
2 years ago
Consider the following regression model: Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε, where the du
FinnZ [79.3K]

Answer:

The regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".

Step-by-step explanation:

Given:

Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε ...........(1)

Since there can be only one of spring, summer,fall, and winter at a point in time or in a season, we will have the following when there are winter rainy days:

Spring = 0

Summer = 0

Fall = 0

Rain = 1

Substituting all the relevant values into equation (1) and equating ε also to 0, a reduced form of equation (1) can be obtained as follows:

Humidity = β0 + β1Temperature + (β2 * 0) + (β3 * 0) + (β4 * 0) + (β5 * 1) + 0

Humidity = β0 + β1Temperature + 0 + 0 + 0 + β5 + 0

Humidity = (β0 + β5) + β1Temperature

Therefore, the regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".

3 0
2 years ago
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