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Sergio [31]
3 years ago
15

A test tube initially holds 25 bacteria. The population of bacteria in the test tube doubles each hour. Without making a graph,

determine how many hours it will take for the population of bacteria in the test tube to reach 800. Explain how you solved this problem.
Thank You >=
Mathematics
2 answers:
9966 [12]3 years ago
5 0
5 hours because 800/25=32 32= 2^5 25 X 1 = 25 25 X 2 = 50 AFTER FIRST HOUR 25 X 2^5 = 800 AFTER FIFTH HOUR
padilas [110]3 years ago
4 0
25*2^X=800
2^X=32
If you put a radical sign over each side, the index for 2^X would have to be 5 for X to disappear and the equation to be true. In other words, ({5}(√2^X)=({5}(√32)), which means that It will take 5 hours

Answer: 5 hours.
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The perimeter of a playing field for a certain sport is 214 ft. The field is a rectangle, and the length is 41 ft longer than th
malfutka [58]

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

L is the length of the rectangle:

W is the width of the rectangle.

Given

Perimeter = 214feet

If the length is 41 ft longer than the width, then L = 41+W

Substitute L = 41+W into the formula:

P = 2(L+W)

214 = 2(41+W+W)

214 = 2(41+2W)

214 = 82+4W

4W = 214-82

4W = 132

W = 132/4

W = 33 feet

Since L = 41+W

L = 41+33

L = 74 feet

Hence the dimension of the field is 74ft by 33ft

<em>The width of the playing field is 33feet</em>

8 0
3 years ago
I believe the answer is B but I think im wrong
brilliants [131]
The second one is the correct answer. Plug in -3 into the equation.
4 0
3 years ago
Y = -2x + 8<br> y = x^2 - 9x + 18<br><br> solve the system of nonlinear equation
ryzh [129]

Substitution

-2x+8=x^2-9x+18

x^2-7x+10=0

Factoring, we get

(x-5)(x-2)=0

x=5, x=2

If x equals 5,

y=-2(5)+8=

-10+8=

-2

Therefore, we derive our first solution:

<h2><u><em>x=5,</em></u></h2><h2><u><em>y=-2</em></u></h2>

Now we solve for our second x

If x=2,

y=-4+8=

4

Therefore, we derive our second solution:

<h2><u><em>x=2</em></u></h2><h2><u><em>y=4</em></u></h2>

<u><em></em></u>

-Hunter

3 0
2 years ago
A college football coach has decided to recruit only the heaviest 15% of high school football players. He knows that high school
Alla [95]

Answer:

The coach should start recruiting players with weight 269.55 pounds or more.                                                    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 225 pounds

Standard Deviation, σ = 43 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.15

P( X > x) = P( z > \displaystyle\frac{x - 225}{43})=0.15  

= 1 -P( z \leq \displaystyle\frac{x - 225}{43})=0.15  

=P( z \leq \displaystyle\frac{x - 225}{43})=0.85  

Calculation the value from standard normal z table, we have,  

P(z < 1.036) = 0.85

\displaystyle\frac{x - 225}{43} = 1.036\\\\x = 269.548 \approx 269.55

Thus, the coach should start recruiting players with weight 269.55 pounds or more.

3 0
3 years ago
Look at the picture attached i need help w precalc u can get moneyyyy
Ulleksa [173]

Answer:

how it gums to chew 5 feel.

Step-by-step explanation:

5 0
2 years ago
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