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cupoosta [38]
3 years ago
5

Find the area of a parallelogram with b = 140 cm and h = 9.7 cm.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0
The answer is 1358 cm2
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Solve the following equation: lim x->0 sin3x/5x^3-4x.
goblinko [34]
Usual limit of sin is sinX/X--->1, when X--->0

sin3x/5x^3-4x=0/0?, sin3x/3x--->1 when x --->0, so sin3x/5x^3-4x=                    [3x. sin3x / 3x] /(5x^3-4x)=(sin3x / 3x) . (3x/5x^3-4x)
   =(sin3x / 3x) . (3/5x^2- 4)
finally lim  sin3x/5x^3-4x=lim (sin3x / 3x) .(3/5x^2- 4)=1x(3/-4)= - 3/4
                 x----->0            x---->0
3 0
3 years ago
Kala drove 260 miles using 12 gallons of gas. at this rate, how many gallons of gas would she need to drive 286 miles
dybincka [34]
Kala will use 13.2 gallons of gas to drive a distance of 286 miles.
3 0
3 years ago
Please help, due tomorrow, please do all!
zlopas [31]

Answer:

are we supposed to multiply

Step-by-step explanation:

4 0
3 years ago
Describe the graph of y=3/4x-12 as compared to the graph of y=1/x
Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function y=\frac{3}{4x-12} as compared to the graph of y=\frac{1}{x}.

We can write our transformed function as:

y=\frac{3}{4(x-3)}

y=\frac{3}{4}*\frac{1}{(x-3)}

Now let us compare our transformed function with parent function.

Let us see rules of transformation.  

f(x-a)\rightarrow\text{Graph shifted to the right by a units},

f(x+a)\rightarrow\text{Graph shifted to the left by a units},

Scaling of a function: a*f(x)

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0
4 years ago
You are given 3 to 1 odds against tossing three tails with three​ coins, meaning you win ​$3 if you succeed and you lose ​$1 if
valentina_108 [34]

Step-by-step explanation:

  • To find the E(X) expected value, you come up with the different probabilities for each outcome
  • your set of outcomes after 3 tosses would be = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} where H is heads and T is tails
  • Each element has a probability of 1/8 so let x represent number of tails
  • Probability(x)=P(x)\\P(0)=\frac{1}{8} \\P(1)=\frac{3}{8} \\P(2)=\frac{3}{8} \\P(3)=\frac{1}{8}
  • The E(x)=Summation (x times P(x))
  • E(X)=(0)(0.125)+(1)(0.375)+(2)(0.375)+(3)(0.125)=1.5
  • Now which probability is 1.5 tails? None, so it is either 2 tails or 1 tails
  • So you can expect to lose money in 1 game
  • But as you play more games the probability of getting 3 tails becomes more and more likely, so you can expect to win in a 100 games
8 0
3 years ago
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