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svetoff [14.1K]
2 years ago
7

Please answer thankssss

Mathematics
2 answers:
dmitriy555 [2]2 years ago
8 0

\frac{7.5*10^{12} }{2.5*10^{4} } =\frac{7.5}{2.5} *\frac{10^{12} }{10^{4} } = 3 * 10^{12 - 4} = 3*10^8

Hope that helps!

RUDIKE [14]2 years ago
6 0
<h3>Answer: Choice C</h3>

3 \times 10^8

=================================================

Explanation:

Divide 7.5 over 2.5 to get 3

Dividing the other terms means we subtract the exponents using this rule

\frac{a^b}{a^c} = a^{b-c}

So,

\frac{10^{12}}{10^4} = 10^{12-4} = 10^8

Overall,

\frac{7.5 \times 10^{12}}{2.5 \times 10^4} = 3 \times 10^8 which points to choice C

If you wanted to expand this out, then 3.0 becomes 300,000,000 = 300 million after moving the decimal point 8 spots to the right.

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Help with b please I have 25 minutes left
Semmy [17]

Answer:

60 × 66,666

60 × 666,666

Step-by-step explanation:

If you look at the pattern on the top numbers, you can see that there is one six that keeps on getting added. I'm not sure of my answer, but that is what I would put.

7 0
2 years ago
Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite
Delvig [45]

Answer:

  1. <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
  2. <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

x+y=1

i.e x=1-y --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

0.05x+0.45y=1\times 0.15

i.e 5x+45y=15 -------------2

Putting value of x from equation 1 in equation 2,

\Rightarrow 5(1-y)+45y=15

\Rightarrow 5-5y+45y=15

\Rightarrow 5+40y=15

\Rightarrow 40y=15-5=10

\Rightarrow y=0.25

Putting the value of y in equation 1,

x=1-0.25=0.75

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters  of 45% hydrochloric acid solution.

4 0
3 years ago
How many solutions does the equation sin(5x) = 1/2 have on the interval (0, 2PI]
Darina [25.2K]

Answer:

Step-by-step explanation:

Given the equation

Sin(5x) = ½

5x = arcSin(½)

5x = 30°

Then,

The general formula for sin is

5θ = n180 + (-1)ⁿθ

Divide through by 5

θ = n•36 + (-1)ⁿ30/5

θ = 36n + (-1)ⁿ6

The range of the solution is

0<θ<2π I.e 0<θ<360

First solution

When n = 0

θ = 36n + (-1)ⁿθ

θ = 0×36 + (-1)^0×6

θ = 6°

When n = 1

θ = 36n + (-1)ⁿ6

θ = 36-6

θ = 30°

When n = 2

θ = 36n + (-1)ⁿ6

θ = 36×2 + 6

θ = 78°

When n =3

θ = 36n + (-1)ⁿ6

θ = 36×3 - 6

θ = 102°

When n=4

θ = 36n + (-1)ⁿ6

θ = 36×4 + 6

θ = 150

When n =5

θ = 36n + (-1)ⁿ6

θ = 36×5 - 6

θ = 174°

When n = 6

θ = 36n+ (-1)ⁿ6

θ = 36×6 + 6

θ = 222°

When n = 7

θ = 36n + (-1)ⁿ6

θ = 36×7 - 6

θ = 246°

When n =8

θ = 36n + (-1)ⁿ6

θ = 36×8 + 6

θ = 294°

When n =9

θ = 36n + (-1)ⁿ6

θ = 36×9 - 6

θ = 318°

When n =10

θ = 36n + (-1)ⁿ6

θ = 36×10 + 6

θ = 366°

When n = 10 is out of range of θ

Then, the solution is from n =0 to n=9

So the equation have 10 solutions in the range 0<θ<2π

4 0
2 years ago
a parallelogram has one side that is 4 centimeters long and one side that is 6 centimeters long. what is the perimeter of the pa
Ilia_Sergeevich [38]

Answer:

P = 20 cm

Step-by-step explanation:

The appropriate formula is P = 2W + 2L.

Here that comes to P = 2(6 cm) + 2(4 cm) = 20 cm

6 0
3 years ago
Round to the nearest hundred 16,537
mart [117]

Answer:

16,500

Step-by-step explanation:

thats it

7 0
3 years ago
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