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ioda
3 years ago
8

PLEASE HELP ASAP!!!

Mathematics
1 answer:
Brut [27]3 years ago
3 0

Answer:

The other angle would also measure 89°.

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A research student is working with a culture of bacteria that doubles in size every
ser-zykov [4K]

Answer:

2^{24}*1000 bacteria

Step-by-step explanation:

The generic form of an exponential function is: f(n)=ar^n , where a is the initial amount, r is the rate, and n is the time.

In this case, the initial amount is 1000, so a = 1000. Also, the rate is 2 because the culture doubles in size every 5 minutes. However, our n is not just n; it's actually n/5 because the rate is doubling per 5 minutes, not per 1 minute. If it was per 1 minute, then the time would simply be n. Unfortunately, that's not the case here, so the exponent of r should be n/5, where n is the number of minutes that have passed.

Now, we have: f(n)=1000(2)^{n/5}

Since n is the number of minutes, we need to convert 2 hours to minutes:

2 hours * 60 min/hour = 120 minutes.

f(120)=1000(2)^{120/5}=1000(2)^{24}=2^{24}*1000f(120)=1000(2)^{120/5}=1000(2)^{24}=2^{24}*1000

Thus, the answer is 2^{24}*1000 bacteria.

Hope this helps!

5 0
3 years ago
Read 2 more answers
Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?​
Nitella [24]

The composite function as shown is g(f(x)) =\sqrt{12x^3+32x^2}

<h3>Composite functions</h3>

Given the following fnctions

f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}

The composite function g(f(x)) is expressed as:

g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}

Hence the composite function as shown is g(f(x)) =\sqrt{12x^3+32x^2}

Learn more on composite function here: brainly.com/question/10687170

4 0
3 years ago
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Which of the following is the solution to the equation x^2-10x+16=0?
PtichkaEL [24]

Answer:

1.{2,8}

Step-by-step explanation:

that's my answer

5 0
3 years ago
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Which graph best represents the equation y = 2x + 1?
Pavlova-9 [17]

Answer:

its the first one

Step-by-step explanation:

I used a calc

5 0
3 years ago
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How many times does 12 go into 95
JulsSmile [24]

Answer:7

Step-by-step explanation:

95/12=7.916666666666666666666666666

5 0
3 years ago
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