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3 years ago

3 billion in scientific notation

2 answers:

8 0

Answer:3,000,000 = 3 × 1,000,000 = 3 × 106. Notice that the exponent is the same as the number of zeros following the 3. Three million is a verbal expression, 3,000,000 is a decimal expression, and 3 × 106 is scientific notation.

Step-by-step explanation:

Vesnalui [34]3 years ago

5 0

Answer:

"3,000,000 = 3 × 1,000,000 = 3 × 106. Notice that the exponent is the same as the number of zeros following the 3. Three million is a verbal expression, 3,000,000 is a decimal expression, and 3 × 106 is scientific notation."

Step-by-step explanation:

I use Google ;)

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Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?

Degger [83]

Answer:

$Union = 15$

Step-by-step explanation:

Given

$n(A) = 5; n(B) = 10; n(C) = 15$

Solving (a): Possible union elements

This is the represented by element with the largest number of the sets

i.e.

$Union = 15$

Solving (b): Possible intersection elements

This is the represented by element with the least number of the sets

i.e.

$Intersection = 5$

6 0

3 years ago

A certain electronics manufacturer found that the average cost C C to produce x DVD/Blu- ray players can be found using the equa

Kisachek [45]

Answer:

83,491.67 dollars

Step-by-step explanation:

Given that a certain electronics manufacturer ound that the average cost C C to produce x DVD/Blu- ray players can be found using the equation $C=0.03x^2-5x+700$

To find the minimum average cost per machine we can use derivative test.

we find first and second derivative.

If for a particular value of x first derivative is 0 and second derivative is positive, then that x satisfies the minimum cost criteria.

$C=0.03x^2-5x+700\\C'(x) = 0.06x-5\\C"(x) = 0.06>0$

Second derivative is always positive

I derivative =0 gives

$x=5/0.06 \\=83.33\\~83$

For 83 players the cost would be minimum

Minimum cost = $0.03(83)^2-5(83)+700\\=491.67$

3 0

4 years ago

Sin t sin 3t sin 5t = 1/4(-sin t + sin 3t +sin 7t - sin 9t).

Pavlova-9 [17]

Recall that

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

cos(a - b) = cos(a) cos(b) + sin(a) sin(b)

and by subtracting the first equation from the second, we get

cos(a - b) - cos(a + b) = 2 sin(a) sin(b)

So, we can write

sin(t) sin(3t) = 1/2 (cos(2t) - cos(4t))

and expanding the left side in the original equation gives

sin(t) sin(3t) sin(5t) = 1/2 (cos(2t) - cos(4t)) sin(5t)

… = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

Similarly, recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

===> sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Then

cos(2t) sin(5t) = 1/2 (sin(7t) + sin(3t))

and

cos(4t) sin(5t) = 1/2 (sin(9t) + sin(t))

So we have

sin(t) sin(3t) sin(5t) = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

… = 1/2 (1/2 (sin(7t) + sin(3t))) - 1/2 (1/2 (sin(9t) + sin(t)))

… = 1/4 sin(7t) + 1/4 sin(3t) - 1/4 sin(9t) - 1/4 sin(t)

… = 1/4 (-sin(t) + sin(3t) + sin(7t) - sin(9t))

as required.

8 0

3 years ago

SOMEBODY HELP ASAP THANKS

g100num [7]

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3 years ago

I am doing tessellations I need help what does this look like

Naily [24]

I can’t do it rn so just dm me later

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4 years ago