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Paha777 [63]
4 years ago
11

30 Points! please help!

Mathematics
1 answer:
SVEN [57.7K]4 years ago
3 0

Answer:

18) 4 * 10 ^ -10

19) t ^ 9

Step-by-step explanation:

18. When multiplying in scientific notation, just multiply the regular numbers together and add the exponents for the tens.

So it'll be 40 * 10^-11

However, the beginning number should have the decimal right after the 4, not any place after (for example, it's 3.056, not 30.56 or 3056.)

To fix this, move the decimal place forward one space from 40. to 4.0, and add 1 to the -11 power.

So the answer is now 4 * 10^-10

19. When dividing exponents, if the base number is the same, you can divide. (Basically, you can not divide x^2 and y^3 because x and y aren't the same)

Since in this case it's t, you can divide.

Dividing exponents is simple: just subtract them.

14 - 5 = 9

so the answer is t ^ 9

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-2 is greater than -2 1/2

Step-by-step explanation:

All the other questions are false and only answer a is correct because -2 is closer to 0 than -2 1/2.

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3 years ago
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Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.)
Luda [366]

Answer:

a.b = (1*0) + (-4*2) +(1*-2)= -10

And replacing we got:

cos \theta = \frac{-10}{\sqrt{18} \sqrt{8}}= -\frac{10}{\sqrt{144}}= -\frac{10}{12}= -\frac{5}{6}

And we can find the angle with the inverse cosine function and we got:

\theta =cos^{-1} (-\frac{5}{6})= 146.44°

Step-by-step explanation:

for this case we can use the following identity:

cos \theta = \frac{a.b}{|a| |b|}

We can begin finding the norm for each vector and we got:

|a| =\sqrt{(1)^2 +(-4)^2 +(1)^2}= \sqrt{18}

|b| =\sqrt{(0)^2 +(2)^2 +(-2)^2}= \sqrt{8}

Now we can find the dot product and we got:

a.b = (1*0) + (-4*2) +(1*-2)= -10

And replacing we got:

cos \theta = \frac{-10}{\sqrt{18} \sqrt{8}}= -\frac{10}{\sqrt{144}}= -\frac{10}{12}= -\frac{5}{6}

And we can find the angle with the inverse cosine function and we got:

\theta =cos^{-1} (-\frac{5}{6})= 146.44°

5 0
3 years ago
A half liter of milk is how many milliliters
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If a box of 500 straws cost 4.50 how much does one straw cost? (show all work please)
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9/100$

Step-by-step explanation:

divied the total cost by the total Starws

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how many times greater is the value of the digit 7 in 752,221 than the value of the digit 7 in 904,728?
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Value of the digit 7 in 752, 221 = 700 000

Value of the digit 7 in 904, 728 = 700

Times greater = 700 000 ÷ 700 = 1000 

----------------------------------
Answer: 1000 times
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6 0
3 years ago
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