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DIA [1.3K]
3 years ago
11

How do you do this question?

Mathematics
1 answer:
max2010maxim [7]3 years ago
6 0

Answer:

∫₁⁵ 2t (t² + t³) dt

Step-by-step explanation:

The area is ∫ₓ₁ˣ² y dx.  To parameterize, replace x₁ and x₂ with t₁ and t₂.  Replace y = f(x) with y = f(t), and replace dx with (dx/dt) dt.

x = 5 + t², so dx = 2t dt.

∫₁⁵ (t² + t³) (2t dt)

∫₁⁵ 2t (t² + t³) dt

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A leprechaun places a magic penny under a​ girl's pillow. The next night there are 2 magic pennies under her pillow. Each night
11Alexandr11 [23.1K]

Answer:

  • tn = 2097152 pennies
  • tn = 20971.52 dollars.

Step-by-step explanation:

A surprisingly large amount of money.

The question is "Does the amount of money just double or do the previous amounts add to the present amount?"

I think it just doubles. Not only that, but she can't spend any of it until night 22 is reached.

  • tn = a*2^(n - 1)
  • a = 1   She starts with 1 penny.
  • n = 22
  • tn = 1*2^(22 - 1)
  • tn = 1*2^21
  • tn = 2097152 pennies
  • tn = 20971.52 dollars.
8 0
3 years ago
3995.996 to the nearest hundreth
alexdok [17]
Your answer goes to 3995.100
3 0
3 years ago
Read 2 more answers
For this graph mark the statements that are true. HELP ME PLEASE!
lisov135 [29]

Answer:

c i believe

Step-by-step explanation:

5 0
3 years ago
The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?
pentagon [3]

Answer:

x= -2   and x = 6

Step-by-step explanation:

The solutions are where the two graphs intersect

x=6, y= 10  is one point

x=-2 and y = -6 is the other point

5 0
3 years ago
write the product of the expression 5^4 * 5^-7 using a positive exponent, then write the product using a negative exponent
pav-90 [236]

Answer with positive exponent = \left(\frac{1}{5}\right)^3 or  \frac{1}{5^3}

Answer with negative exponent = 5^{-3}

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

Explanation:

The rule we use is

a^b*a^c = a^{b+c}

If we multiply two exponential expressions with the same base, then we add the exponents.

The base for each is 5. The exponents 4 and -7 add to -3.

This means

5^4*5^{-7} = 5^{4+(-7)} = 5^{-3}

To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.

So, 5^{-3} = \left(\frac{1}{5}\right)^3 = \frac{1^3}{5^3} = \frac{1}{5^3}

3 0
2 years ago
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