Answer:
r=ln3/10
Step-by-step explanation:
The daily rate is given by 3 to the power x divided by 10.
We have given that a sample of bacteria is growing at a continuously compounding rate.
The sample triples in 10 days.
What is the formula for the daily rate?The daily rate of the bacteria growth is. exponential growth is in the form
y = abˣ
where y, x are variables.
a is the initial value
Sample triples, in 10 days. therefore the value of b=3.
Therefore we get,
[tex]y=3a^{\frac{x}{10}[/tex]
[tex]y=a3^{\frac{x}{10}[/tex]
Therefore the daily rate is given by [tex]3^{\frac{x}{10}[/tex].
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a hollow cylindrical metallic pipe is 21 cm long if the external and internal diameter of the pipe are 12cm and 8cm respectively find the volume of metal used in making the pipe
Answer:
The volume of the metal used to make the pipe is [tex]\mathbf{1,680\pi\ cm^3}[/tex]
Step-by-step explanation:
The Volume of a Cylinder
Given a right cylinder of base radius r and height h, the volume is calculated as follows:
[tex]V=\pi r^2h[/tex]
We are given the dimensions of a cylindrical metallic pipe whose external diameter is de=12 cm and the internal diameter is di=8 cm. The height is h=21 cm.
The volume of the metal used in making the pipe is the difference between the external volume and the internal volume.
Calculating the external volume:
[tex]V_e=\pi r_e^2h[/tex]
[tex]V_e=\pi 12^2*21[/tex]
[tex]V_e=3,024\pi\ cm^3[/tex]
Calculating the internal volume:
[tex]V_i=\pi r_i^2h[/tex]
[tex]V_i=\pi 8^2*21[/tex]
[tex]V_i=1,344\pi\ cm^3[/tex]
The volume of metal is:
[tex]V_m=V_e-V_i=3,024\pi\ cm^3-1,344\pi\ cm^3[/tex]
[tex]V_m=1,680\pi\ cm^3[/tex]
The volume of the metal used to make the pipe is [tex]\mathbf{1,680\pi\ cm^3}[/tex]
Tara's graduation picnic costs $2 for every attendee. Write an equation that shows the
relationship between the attendees x and the cost y.
Answer:
y = 2x
Step-by-step explanation:
Y = 2x
When you calculate your regression line, you are: Group of answer choices Minimizing the sum of the errors Finding the error for each observation, squaring the error and minimizing the sum Finding the absolute value of the error terms and minimizing the sum of the absolute values
Answer:
Finding the error for each observation, squaring the error and minimizing the sum
Step-by-step explanation:
The regression line is a straight line which gives a description of how the dependent variable y changes as changes occur in the independent variable X. It gives a prediction of the value of Y for any given value of X.
The method of least squares is used for squaring the error and also used for minimising the sum. Therefore, when you calculate the regression line, you would be Finding the error for each observation, squaring the error and minimizing the sum.
A dozen plain hats cost $3.60. What is the unit rate of a hat? Write your answer as a comparison statement.
These are for exams please answer quick!!
Answer:0.3
Step-by-step explanation:
3.60/12=0.3
4/5 times 1/5 PLZ ANSER I NEED HELP
Answer:
.16 or 4/25
Step-by-step explanation:
Answer:
4/25
Step-by-step explanation:
[tex]\frac{4}{5}[/tex]×[tex]\frac{1}{5}[/tex]
multiply tops together and denominators together and get [tex]\frac{4}{25}[/tex]
pleas help u get 16 points and brainy. find the area
Answer:
153 in²
Step-by-step explanation:
first look at yellow area, then red area, then green area.
48 + 50 + 55 = 105 + 48 = 153 in²
hope this helps ^-^
help pls (fill in the blank)
Please only correct answer
Answer:
second vala hai correct Answer
Answer:
[tex](\sqrt{x})^{2} = \sqrt{x^{2} }[/tex]
Can some one help me I will give the brainliest
Answer:
j,z
Step-by-step explanation:
Help me like seriously I don’t understand this at all
Answer:
option C
Step-by-step explanation:
Group common terms
8u³+7u³+7u²-6u+6+6
15u³+7u²-6u+12
You have $50. You have some $5 bills and some $10
bills. What are the possible amounts of each that you
could have? Let x be the number of $5 bills and y be the
number of $10 bills.
Answer:
10x + 5y = 50
Step-by-step explanation:
PLEASE HELP ME IM TAKING TIMED TEST I WILL MARK YOU AS BRAINLEST!!
Answer:-4.5, -0.5, 0.3, 0.7, 2.3
Step-by-step explanation:
a service station has 92-octane and 98-octane gasoline. How many liters of each should be mixed to provide 12 liters of 96-octane gasoline needed for chemical research
we use the rectangle rule
96-92=4 parts of 92 octane
98-96=2 parts of 98 octane
4x+2x=12
6x=12
x=2
4x=8 liters of 92 octane
2x=4 liters of 98 octane
Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake. Jacob spent 3 hours and 45 minutes fishing, and it took 1 hour and 15 minutes to hike back. What time was it when Jacob got back to camp?
Include A.M. or P.M. in your answer Please help me fast!!,
15) Miguel made $6,743 in February and $8,152 in March. Which is the best 4 estimate for the amount of money Miguel earned when rounding to the nearest hundred. *
Answer:
$14,900
Step-by-step explanation:
Given that,
Miguel made $6,743 in February and $8,152 in March.
We need to find the amount of money Miguel earned.
It is equal to the sum of amount made in February and March.
Sum = $6,743 + $8,152
= $14895
Nearest hundred :
Sum = $14,900
Hence, the total amount is $14,900.
LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)
Answer:
C is the answer?
Please help me thank you so much I appreciate it for the helping hand !!!!!
Answer:x=7
Step-by-step explanation:
Steps down below. Remember that angles on a straight line add up to 180 degrees
Express each ratio as a fraction in the simplest form.
21 beetles out 36 insects
Answer:
8274
Step-by-step explanation:
Find the Hcmof 40 and 60
1.Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20. What are the least numbers of packs you should buy in order to have the same number of plates, utensils, and cups?
Answer:
Least no of packs = 120
Step-by-step explanation:
Given that,
Plastic plates come in packs of 8, plastic utensils come in packs of 12, and plastic cups come in packs of 20.
We need to find least numbers of packs you should buy in order to have the same number of plates, utensils, and cups.
It means we need to find the LCM of 8,12,20
Prime factorisation of 8 = 2×2×2
Prime factorisation of 12 = 2×3×2
Prime factorisation of 20=2×5×2
LCM = 120
Hence, there are 120 least number of packs you should buy in order to have the same number of plates, utensils, and cups
The table shows the results of a random survey about the mayor's performance. The mayor
is running for re-election. A total of 2,400 people are expected to vote in the election. Based
on the data, which is the most likely result?
Answer:
the mayor will lose in a close race
Step-by-step explanation:
Priya is sharing 24 apples equally with some friends. She uses division to determine how many people can have a share if each person gets a particular number of apples. For example, 24 ÷ 4 = 6 means that if each person gets 4 apples, then 6 people can have apples. Here are some other calculations:
Answer:
1 apple: 24 people
2 apples: 12 people
3 apples: 8 people
4 apples: 6 people
6 apples: 4 people
8 apples: 3 people
12 apples: 2 people
24 apples: 1 person
Step-by-step explanation:
The number of 6 people can have 4 apples each.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Priya is sharing 24 apples equally with some friends.
She uses division to determine how many people can have a share if each person gets a particular number of apples.
For example, 24 ÷ 4 = 6 means that if each person gets 4 apples,
then 6 people can have apples,
= 24 ÷ 6
= 4
Therefore, 6 people can have 4 apples.
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An emergency medical technician earns $19.71 per hour. One month she earns a gross pay of $3326.06. How much did she make per week if it was a 4.5 - week month? Round off the answer to two decimal places also. How much did she make per week if it was a 4.5 - week month? Round off the answer to two decimal places.
Answer:
The emergency medical technician made $739.12 per week
Step-by-step explanation:
Given that:
Per hour pay = $19.71
One month earning of emergency medical technician = $3326.06
Weeks in the following month = 4.5
For per week income, we will divide the monthly salary by number of weeks in the month.
Per week income = [tex]\frac{3326.06}{4.5}[/tex]
Per week income = $739.12
Hence,
The emergency medical technician made $739.12 per week
How many work cycles should be timed to estimate the average cycle time to within 5 percent of the sample mean with a confidence of 99.0 percent if a pilot study yielded these times (minutes): 4.0, 4.5, 5.0, 4.5, 4.5, and 4.0
Answer:
Following are thew solution to this question:
Step-by-step explanation:
Please find the complete question in the attached file.
Using formula:
[tex]\text{Margin of error} = \frac{(z \times \sigma) }{\sqrt{n}}[/tex]
n = the number of work cycles for 95 confidence interval
z-score = 1.96
So, [tex]\frac{(z \times \sigma)}{\sqrt{n}}[/tex] = [tex]\ Mean \times 0.02[/tex]
[tex]\frac{(1.96 \times 0.376)}{\sqrt{n}} = 4.416666667 \times 0.02 \\\\\\[AVERAGE(4,4.5,5,4.5,4.5,4) = 4.416666667][/tex]
[tex]\sqrt{n} = \frac{(1.96 \times 0.376)}{(4.416666667 \times 0.02)} \\\\[/tex]
[tex]= 8.342943396\\\\[/tex]
[tex]n = 69.6047045[/tex]
[tex]= 70[/tex]
Using the sample size formula, the number of samples required is 919.
Standard deviation, σ = 0.376From the data given :
Mean = (4 + 4.5 + 5 + 4.5 + 4.5 + 4) / 6 = 4.417Standard deviation = 0.376Using the sample size relation thus:
[tex] n = (\frac{T_{critical}σ}{E})^{2}[/tex] E = Margin of Error = 5% = 0.05Tcritical at 99%, df = 5 = 4.032 (T distribution table)Substituting the values into the equation :
[tex] n = (\frac{4.032 \times 0.376 }{0.05})^{2}[/tex]
[tex] n = (\frac{1.516032}{0.05})^{2} = 919.34[/tex]
Hence, the sample size required is 919.
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(3, 4) and (5, -8)
a . 6
b . 1/2
c . 1/5
d . -2
Answer:
If you are looking for the slope, it equals -6
Step-by-step explanation:
(3,4) (5, -8)
[tex]\frac{4+8}{3-5}[/tex] = [tex]\frac{12}{-2}[/tex] = [tex]\frac{6}{-1}[/tex] = -6
Hey there!
The formula to this equation is: y2 - y1 /x2 - x1
• y2 = -8
• y1 = 4
• x2 = 5
• x1 = 3
EQUATION:
-8 - 4/5 - 3
-8 - 4 = -12
5 - 3 = 2
NEW EQUATION: -12/2
-12/2 = your answer
-12 / 2 = -6 because 2 • -6 = -12
Answer that you’re looking for: -6
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Guide to REMEMBER :
- Negative & Negative = Positive
- Negative & Positive = Negative
- Positive & Positive = Positive
- Positive & Negative = Negative
Which expression is a possible leading term for the polynomial function graphed below?
8
4
2
2
0.48
O _4,5
O4x5
o 4x
Answer:
Answer is (A) -4x^8
Step-by-step explanation:
`y=2x+1` was a positive slope because...
Answer:
☆This is because ascending, not descending when looking on a graph.
☆The slope's number is a positive number.
Amplitude: 6 Period: 44
Phase shift:
Step-by-step explanation:
provide more details, please
In a remote village, a person used five beaver pelts
Answer:
what're we supposed to do?
Step-by-step explanation:
A hummingbird's heart rate while resting is about 7,500 beats every 30 minutes. How many more beats does a hummingbird's heart beat in 60 minutes than a human baby's heart? It was on the last question
Answer:
This is what I got, hope u get it right
Step-by-step explanation:
The Giant Hummingbird beats its wings 10-15 times per second. The fastest recorded rate is about 80 beats per second on an Amethyst Wood- star Hummingbird.
85 is the answer........