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Flura [38]
4 years ago
7

I will mark brainiest is my answer is correct need legit answer thanks

Mathematics
1 answer:
Deffense [45]4 years ago
7 0
=0.26 + 3.665
= 3.925
= 4 gallons rounded

ANSWER: 4 gallons, you are correct

Hope this helps! :)
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Given the data shown below, which of the following is the best prediction for
Soloha48 [4]

Answer:

The best prediction for  the number of years it will take for the population to reach 200,000 is 9.41

Step-by-step explanation:

Year     Population

1              11,920

2              16,800

3              23,300

4              33,000

5             45,750

6             64,000

y_1 =A _0 e ^{kt _1}\\y_2 = A_0 e^{k t_2}\\(t_1,y_1)=(1,11920)\\(t_2,y_2)=(2,16800)

Substitute the values

11920=A _0 e ^{k}  ---1\\16800 = A_0 e^{2k} ---2

Divide 1 and 2

\frac{11920}{16800}=\frac{e^k}{e^{2k}}\\\frac{11920}{16800}=e^{k-2k}\\ln(\frac{11920}{16800})=-k\\k=-1 ln(\frac{11920}{16800})\\k=0.3432\\A_0=y_1 e^{-k t_1}\\A_0=11920 e^{-0.3432}\\A_0=8457.5238

The exponential function that passes through the points (1, 11920) and (2, 16800) isy=8457.5238 e^{0.3432t}

Now we are supposed to find  the best prediction for  the number of years it will take for the population to reach 200,000

200000=8457.5238 e^{0.3432t}

\frac{200000}{8457.5238}=e^{0.3432t}

ln(\frac{200000}{8457.5238})=0.3432t

t = 9.41

Hence the best prediction for  the number of years it will take for the population to reach 200,000 is 9.41

6 0
4 years ago
in a box of 12 fuses, there are 3 that are defective. if a quality control engineer tests 4 of these fuses at random, what is th
vladimir1956 [14]
3/12, or 1/4, are defective.
he tests 4/12, or 1/3, fuses.
1/4(1/3) = 1/12 ?

i’m sorry if this is wrong. i’m not good at probability!
6 0
4 years ago
PLEASE ANSWER Solve this problem:
Shalnov [3]
50x + 2.50 = 120.
x = how many tables she cleans to get $120.
5 0
3 years ago
Which expression is equivalent to (10x)^-3?
kolbaska11 [484]
(10x)^ (-3)
= 1/ [(10x)^3]
= 1/ [10^3* x^3]
= 1/ (1000x^3)

The final answer is 1/ (1000x^3), and I don't think there is a correct option to choose from. ( option c would be correct if it were written with round brackets)

Hope this helps~
4 0
3 years ago
Read 2 more answers
Solve x2 + 10x + 7 = 0 by completing the square.<br><br> Which equation is used in the process?
BaLLatris [955]
x^2+10x+7=0\ \ \ \ |subtract\ 7\ from\ both\ sides\\\\x^2+2x\cdot5=-7\ \ \ |add\ 5^2\ to\ both\ sides\\\\x^2+2x\cdot5+5^2=-7+5^2\ \ \ |use\ a^2+2ab+b^2=(a+b)^2\\\\(x+5)^2=-7+25\\\\(x+5)^2=18\iff x+5=\pm\sqrt{18}\\\\x+5=-\sqrt{18}\ or\ x-5=\sqrt{18}\\\\x+5=-\sqrt{9\cdot2}\ or\ x-5=\sqrt{9\cdot2}\\\\x+5=-\sqrt9\cdot\sqrt2\ or\ x-5=\sqrt9\cdot\sqrt2\\\\x+5=-3\sqrt2\ or\ x-5=3\sqrt2\ \ \ |subtract\ 5\ from\ both\ sides\\\\\boxed{x=-5-3\sqrt2\ or\ x=-5+3\sqrt2}
5 0
3 years ago
Read 2 more answers
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