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ziro4ka [17]
2 years ago
10

The amount of bacteria in a Petri dish increases at a rate proportional to the amount present. At time t=0, the amount of bacter

ia in the dish is 10 grams. At time t=2, the amount of the bacteria in the dish is 30 grams. What is the amount of bacteria in the dish at time t=6?
A. 70 grams
B. 190 grams
C. 270 grams
D. 9270 grams
Mathematics
1 answer:
Nostrana [21]2 years ago
4 0
The answer is A. 70 grams
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Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction? Select three options. m = Sta
marishachu [46]

Answer:

1)  m = negative StartFraction 10 over 4 EndFraction

2) m = negative five-halves

3) m = -\frac{7}{4} - \frac{3}{4}

Step-by-step explanation:

<u>The given equation is:</u>

=> \frac{3}{4} +m = -\frac{7}{4}

Subtracting 3/4 to both sides

=> m = -\frac{7}{4} - \frac{3}{4}

=> m = \frac{-10}{4}

=> m = -\frac{5}{2}

5 0
2 years ago
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Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6
lora16 [44]

Answer:

The answer is the option C

graph of 3x minus 3, with discontinuity at negative 2, negative 9

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}+9x-18}{3x+6}

Simplify

f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}

f(x)=3\frac{(x^{2}+x-2)}{(x+2)}

Step 1

Convert to a factored form the numerator

x^{2}+x-2=0    

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2}+x=2

Complete the square. Remember to balance the equation by adding the same constants to each side.

x^{2}+x+0.25=2+0.25

x^{2}+x+0.25=2.25

Rewrite as perfect squares

(x+0.5)^{2}=2.25

Square root both sides

x+0.5=(+/-)1.5

x=-0.5(+/-)1.5

x=-0.5+1.5=1

x=-0.5-1.5=-2

so

x^{2}+x-2=(x-1)(x+2)  

Step 2

Simplify the function f(x)

f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}

The domain of the function f(x) is all real numbers except the number x=-2

Because the denominator can not be zero

f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3  

f(x)=3x-3  ------> with a discontinuity at x=-2

f(-2)=3(-2)-3=-9

The discontinuity is at point (-2,-9)

the answer in the attached figure

8 0
2 years ago
Read 2 more answers
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ
OleMash [197]
X= the amount of songs
(x*1.29)/20
5 0
2 years ago
(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above
ss7ja [257]
As IQ scores for extensive populaces are focused at 100, the mean = 100. 
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4 0
2 years ago
A recipe calls for 5 ounces of vinegar and 10 ounces of oil. Daren is making dressing with 9 ounces of vinegar using the same ra
g100num [7]

Answer:

Step-by-step explanation:

Set this up as ratio of vinegar to oil in fraction form:

\frac{v}{o}:\frac{5}{10}

That's what we're given.  If we are looking to find how much oil he needs if he's using 9 ounces of vinegar, then 9 goes on top with the vinegar stuff and x goes on bottom as the unknown amount of oil:

\frac{v}{o}:\frac{5}{10}=\frac{9}{x}

Cross multiply to get

5x = 90 and

x = 18

Which you probably could do without the proportions.  If he is using 5 ounces of vinegar and double that amount of oil, then it just makes sense that if he uses 9 ounces of vinegar he will double that amount in oil to use 18 ounces.

6 0
2 years ago
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