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jasenka [17]
3 years ago
6

Lisa is writing a coordinate proof to show that the diagonals of a square are perpendicular to each other. She starts by assigni

ng coordinates as given.
(Fill in the Blanks)

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
3 0
What you need is in the attachment

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
bija089 [108]

Answer: \bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}

               b) 5314

               c) ln 2.7

               d) 4.6 hrs

<u>Step-by-step explanation:</u>

P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}

10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}

4 0
3 years ago
I really need someone to help me with this question ASAP.
ra1l [238]

Answer:

a=2, b=-20

Step-by-step explanation:

4(2xsquared -5x+3)= 8xsquared -20x +12

4 0
3 years ago
12 % of 140 = with explanation
vovangra [49]

Answer: 16.8

Step-by-step explanation: 12% of 140 = 16.8. (I’m not sure what I say for the explanation! Really sorry! But I hope I helped!)

5 0
3 years ago
Read 2 more answers
Click on the measure of angle x.<br> х<br> 38°<br> » 152<br> 1)) 142°<br> () 38°<br> )) 52°
GaryK [48]

Answer:

142°

Step-by-step explanation:

180^{\circ} - 38^{\circ} = 142^{\circ}

7 0
3 years ago
Find all real solutions of the equation. <br> x4/3 − 7x2/3 + 10 = 0
BlackZzzverrR [31]
Solve by Factoring x^(2/3)-7x^(1/3)+10=0
x
2
3
−
7
x
1
3
+
10
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x
2
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=
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Rewrite
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3
x
2
3
as
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x
1
3
)
2
(
x
1
3
)
2
.
(
x
1
3
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2
−
7
x
1
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+
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=
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(
x
1
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2
-
7
x
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Let
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1
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u
=
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. Substitute
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for all occurrences of
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3
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2
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=
0
8 0
3 years ago
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