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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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3 years ago
If a set has three elements how many subsets does it have
mel-nik [20]
6 subsets are possible, but the number of subsets depends on the problem
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What is the slope of the line that passes through the pair points?
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3 years ago
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Joel wanted his mom to buy a super-sized box of his favorite cereal, but his mom didn't think it would fit in her cupboard. The
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<h3><u>Given</u>:-</h3>

  • Volume 6,900 cm^3
  • Length = 23 cm
  • Width = 10cm

<h3><u>To Find</u>:-</h3>

  • Height of box ??

<h3><u>Solution</u>:-</h3>

\\\diamond{\underline{\underline{\sf {\;\; Calculating\; Height\;  of  \; box :-}}}}\\

\\ \pink \star \:  \: {\underline{\boxed {\bf{  Volume_{ \red{ \{Rectangle \}}}  \: = l  \times w  \times  h }}} }\; \red\bigstar  \\

Where,

  • » l denotes Length
  • » w denotes Width
  • » h denotes Height

\\  \sf \implies \: {Volume_{ \red{ \{Rectangle \}}}  \: = l  \times w  \times  h} \\

\\  \sf \implies \: { 6,900 \:   = \: 23 \:    \times  \: 10 \:   \times  h} \\

\\  \sf \implies \: { 6,900 \:   = \:  230 \:   \times \:   h} \\

\\  \sf \implies \: {  \: h  \:   = \:   \frac{6900}{230}  \:  } \\

\\  \sf \implies \: {  \: h  \:   = \:   30 \: {cm }^{3}   \:   } \\

\\ \implies{\underline{\boxed{\frak { Height = 30  \: cm^3 }}}} \; \purple\bigstar \:  \\

\\\qquad \rule{120pt}{3pt}\\

Therefore , the Volume of the Box is 30 cm ³.

5 0
2 years ago
Consider the line y = 3/8x + 3
Finger [1]

Answer:

Perpendicular line y = (- 8/3)x - 76/3.

Parallel line y = (3/8)x - 1

Step-by-step explanation:

y = 3/8

x + 3

1) Perpendicular line has negative reciprocal slope.

m = - 8/3

y = (- 8/3)x + b

Point (-8, - 4)

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b = - 76/3

y = (- 8/3)x - 76/3

2) Parallel line has the same slope.

m = 3/8

y = (3/8)x + b

Point (-8, -4)

- 4 = (3/8)*(- 8) + b

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b = - 1

y = (3/8)x - 1

6 0
3 years ago
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