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Amiraneli [1.4K]
3 years ago
15

Convert 0.00049 to scientific notation.

Mathematics
2 answers:
Studentka2010 [4]3 years ago
5 0

Answer:

D

Step-by-step explanation:

ziro4ka [17]3 years ago
3 0

Answer:

D)4.9 x 10^-4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

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Divide and simplify to the form a+bi. 5+6i 5+6i 6+ i (Simplify your answer. Type an integer or a fraction. Type your answer in t
alekssr [168]

Answer:

-\frac{6}{37} + \frac{371}{37}i

Step-by-step explanation:

We need to evaluate \frac{(5+6i)(5+6i)}{6+i}

(5+6i)(5+6i) = (25 + 36i² + 60i) = (25 - 36 + 60i) = -11 + 60i

= \frac{-11+60i}{6+i}

Now we rationalize the denominator.

Now, multiplying both the numerator and denominator by (6-i)

\frac{-66 + 11i + 360i - 60i^2}{36 - i^2} = \frac{-66 + 60  + 371i}{37} = \frac{-6 + 371i}{37}

= -\frac{6}{37} + \frac{371}{37}i

Formula used:

(a+b)² = a² + b² + 2ab

i² = -1

6 0
4 years ago
A pair of equations is shown below.
Zolol [24]
I'll solve it by substitution instead of graphing.

x + y = 2
y = (1/2)x + 5

Substitute equation 2 into equation 1.

x + (1/2)x + 5= 2

(3/2)x + 5 = 2

(3/2)x + 5 - 5 = 2 - 5

(3/2)x = -3

(2/3) * (3/2)x = -3 * (2/3)

x = -2

x + y = 2
-2 + y = 2
y - 2 = 2
y - 2 + 2 = 2 + 2
y = 4

x = -2
y = 4

(-2,4)

Your answer is B) (-2,4).
4 0
3 years ago
Employment data at a large company reveal that 59 % of the workers are married, that 43 % are college graduates, and that 1/3 of
Aleksandr-060686 [28]

Answer:

a. 74.63%

b. 33.63%

c. 87.67%

Step-by-step explanation:

If 59% (0.59) of the workers are married, then It means (100-59 = 41%) of the workers are not married.

If 43% (0.43) of the workers are College graduates, then it means (100-43= 57%) of the workers are not college graduates.

If 1/3 of college graduates are married, it means portion of graduate that are married = 1/3 * 43% = 1/3 * 0.43 = 0.1433.

For question a, Probability that the worker is neither married nor a college graduate becomes:

= (probability of not married) + (probability of not a graduate) - (probability of not married * not a graduate)

= 0.41 + 0.57 - (0.41*0.57) = 0.98 - 0.2337

= 0.7463 = 74.63%

For question b, probability that the worker is married but not a college graduate becomes:

=(probability of married) * (probability of not a graduate.)

= 0.59 * 0.57

= 0.3363 = 33.63%

For question c, probability that the worker is either married or a college graduate becomes:

=probability of marriage + probability of graduate - (probability of married and graduate)

= 0.59 + 0.43 - (0.1433)

= 0.8767. = 87.67%

3 0
4 years ago
Help me please!! I will mark Brainliest!!!!
murzikaleks [220]

Answer:

D

Step-by-step explanation:

42 minus 31 is 11

so 11/42 = /100

6 0
3 years ago
Read 2 more answers
Trey had a cylindrical can with a radius of 4 inches and a height of 12 inches that was completely full of beet juice. He poured
Arisa [49]

Answer:

8\ glasses\ of\ juice

Step-by-step explanation:

step 1

Find the volume of the cylindrical can

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=4\ in\\ h=12\ in

substitute the values

V=\pi (4)^{2}(12)=192\pi\ in^{3}

step 2

Find the volume of the cylindrical glasses

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=2\ in\\ h=8\ in

substitute the values

V=\pi (2)^{2}(8)=32\pi\ in^{3}

Find the volume of 3/4 of the glass

32\pi (\frac{3}{4})=24\pi\ in^{3}

step 3

Divide the total volume of cylindrical can by the 3/4 volume of the glass

192\pi\ in^{3}/24\pi\ in^{3}=8\ glasses\ of\ juice

6 0
3 years ago
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