I REALLY NEED HELP !!!The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)^3t. There are five bacteria present initially and a biologist wishes to find out how many hours will elapse until there are 2,000 bacteria present. What is the exact value for the number of hours elapsed, t, in the equation 2,000 = 5(10)^3t?

t equals start fraction log of forty over three end fraction
t equals start fraction log of two thousand over three times log of fifty end fraction
t equals start fraction log of four hundred over log of three end fraction
t equals start fraction log of four hundred over three end fraction

Answers

Answer 1

Answer: I think the answer is c

Answer 2

Answer: The answer is t=2/5

Im sorry if this is incorrect! Tried my best at least! Good luck :)

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How much of a circle does a 100-degree angle turn through?help pls
1. 1
2. 100/180
3. 50/360
4. 100/360
pls help!!!

Answers

Answer:

100/360

Step-by-step explanation:

A complete turn of a circle is 360 degrees

Therefore, 100 degrees turn is 100 out of 360

Solve the following three variable system. 2x + 3y + 4z = 9
-x + 2y - z = 0
-2x + 4y + z = 3

Answers

$1)\ \ \ 2x + 3y + 4z = 9\n2)\ \ \ -x + 2y - z = 0\n3)\ \ \ -2x + 4y + z = 3\n===================================\n3)\ \ \ -2x + 4y + z = 3\ \ \ \Rightarrow\ \ \ z=2x-4y+3\n\n1)\ \ \ 2x + 3y + 4z = 9\ \ \ \Rightarrow\ \ \ 2x + 3y + 4(2x-4y+3) = 9\n2x+3y+8x-16y+12=9\n10x-13y=-3\n\n2)\ \ \ -x + 2y - z = 0\ \ \ \Rightarrow\ \ \ -x+2y-(2x-4y+3)=0\n-x+2y-2x+4y-3=0\n-3x+6y=3\ /:(-3)\nx-2y=-1\ \ \ \Rightarrow\ \ \ x=2y-1\n\n$

$1)\ \ \ 10x-13y=-3 \ \ \ \Rightarrow\ \ \ 10(2y-1)-13y=-3\n20y-10-13y=-3\n7y=7\ /:7\ \ \ \Rightarrow\ \ \ y=1\n\n2)\ \ \ x=2y-1\ \ \ \Rightarrow\ \ \ x=2\cdot2-1=1\n\n3)\ \ \ z=2x-4y+3\ \ \ \Rightarrow\ \ \ z=2\cdot1-4\cdot1+3=2-4+3=1\n\nAns.\ x=y=z=1$

Write x^2 − 8x + 13 = 0 in the form (x − a)^2 = b, where a and b are integers.(x − 4)^2 = 3
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4

Can anyone show the steps on how to get the answer?

Answers

Sure.
The answer is (x-4)^2 = 3

Procedure

Complete a perfect square trinomial to factor:

x^2 - 8x + 13 = 0

Notice that -8x = 2(x)(4)

Given tha x is the square root of x^2, we want to include the square of 4, which is 16.

We must just add 16 to the first two terms, which, of course, obliges to substract the same number to maintain the equality. This way:

(x^2 - 8x + 16) + -16 + 13= 0

Now the three terms in parenthesis can be factor as a binomial squared:

(x - 4)^2 + 13 -16 =0

(x - 4)^2 - 3 = 0

(x - 4)^2 = 3 Which is the answer.

Let me know whether you could follow the explanation.

Simplify. Assume that letters represent any real number. $\sqrt[5]{x^5}$

Rewrite without rational exponents, and simplify, if possible.

$32^(3/5)$

Answers

$\sqrt[5]{x^5}=x\n\n32^(3)/(5)=\left(32^(1)/(5)\right)^3=\left(\sqrt[5]{32}\right)^3=2^3=8$

32^(3/5) = (2^5)^(3/5) = 2^(15/5) = 2^3 = 8.

Does the word each mean multiply

Answers

no, each does not mean to multiply, but it also depends on the question

What is
1 1/6 - 2/3
?

Answers

so we have
1 and 1/6-2/3
convert 1 and 1/6 to improper
1 and 1/6=1+1/6=6/6+1/6=7/6
make bottom number same
3 times 2=6 so
2/3 times 2/2=4/6

now we have
7/6-4/6=(7-4)/6=3/6=1/2
answer is 1/2

11/6 - 2/ 3 = 11/6 - 4/6 = 7/6

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