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san4es73 [151]
2 years ago
9

Show your work and solve please!

Mathematics
2 answers:
Nataly_w [17]2 years ago
7 0
Yep they are correct! Mark them brainiest ^^^ (:
bixtya [17]2 years ago
4 0

Answer:

y = 3

Step-by-step explanation:

-5y + 8 = -7

subtract 8 from both sides

-5y = -15

now, divide -5 from both sides

y = 3

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Use the value of the first integral I to evaluate the two given integrals. I = integral^3_0 (x^3 - 4x)dx = 9/4 A. integral^3_0 (
Troyanec [42]

Answer:

A) -9/2

B) 9/4

C) -9/2, same as A)

Step-by-step explanation:

We are given that I=\int_0^3 x^3-4x dx=9/4. We use the properties of integrals to write the new integrals in terms of I.

A) \int_0^3 8x-2x^3 dx=\int_0^3 -2(x^3-4x) dx=-2\int_0^3 x^3-4x dx=-2I=-9/2. We have used that ∫cf dx=c∫f dx.

B) \int_3^0 4x - x^3 dx=-\int_0^3 (4x-x^3) dx=\int_0^3-(4x-x^3) dx=\int_0^3 x^3-4x dx=I=9/4. Here we used that reversing the limits of integration changes the sign of the integral.

C) It's the same integral in A)

4 0
3 years ago
A hiker discovers a skull that contains 41% of its original amount of C-14. Find the age of the skull to the nearest year
snow_tiger [21]
We need the half-life of C-14 which is 5,730 years.
Now, we will need a half-life equation:
elapsed time = half-life * log (bgng amt / ending amt) / log 2
We'll say beginning amount = 100 and ending amount = 41
elapsed time = 5,730 * log (100/41) / log 2
elapsed time = 5,730 * log ( <span> <span> <span> 2.4390243902 </span> </span> </span> ) / 0.30102999566
elapsed time = 5,730 * 0.38721614327 / 0.30102999566
elapsed time = <span> <span> </span></span><span><span><span>5,730 * 1.2863041851 </span> </span> </span>
<span>elapsed time = 7,370.523 years

Source:
http://www.1728.org/halflife.htm </span>


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3 years ago
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timurjin [86]

Answer:

15

Step-by-step explanation:

please the answer is 15

3 0
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Math Geniuses! I need your help!
Scrat [10]

Answer:

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8 0
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Rewrite 4x plus 2y equals 6 in slope intercept form.
KonstantinChe [14]

Answer:y=-2x+3

Step-by-step explanation:

3 0
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