The number of bacteria when t = 8 is approximately 66 bacterias
Exponential functionsGiven the function that gives the number of bacteria in a population as a function of time in hour expressed as:
P=48∙e^((0.045t))
If the value of t is 8, hence;
P=48∙e^((0.045(8))
P = 48e^0.36
P = 65.933
Hence the number of bacteria when t = 8 is approximately 66 bacterias
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a study of nickels showed that the standard deviation of the weight of nickels is 300 milligrams. A coin counter manufacture wishes to find the 90% confidence interval for the average weight of a nickel. What is the minimum number of nickels he needs to weigh to obtain an average accurate to within 20 milligrams?
Using the z-distribution, a sample of 609 nickels has to be weighed.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error is:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.For this problem, the parameters are:
[tex]M = 20, \sigma = 300, z = 1.645[/tex]
We solve for n to find the sample size, then:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]20 = 1.645\frac{300}{\sqrt{n}}[/tex]
[tex]20\sqrt{n} = 1.645 \times 300[/tex]
[tex]\sqrt{n} = 1.645 \times 15[/tex]
[tex](\sqrt{n})^2 = (1.645 \times 15)^2[/tex]
n = 608.9
Rounding up, a sample of 609 nickels has to be weighed.
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If m 3 = 80°, find m 7. Type a numerical answer in the space provided. Do not type degree symbols or spaces in your answer.
The value of m∠7, given the data from the question is 80°
Alternate angle theoremAlternate angle theorem states as follow:
When two parallel lines are cut by a line (i.e transversal), then the alternate interior angles or alternate exterior angles are aqual.
How to determine the value of m∠7From the diagram,
Line l and line m are parallel linesm∠3 and m∠7 are alternate anglesm∠3 = 80°m∠7 =?From the above, we can see that m∠3 and m∠7 are alternate angles.
Therefore,
m∠7 = m∠3
m∠7 = 80°
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Complete question
please see attached photo
Total Assets
Sales
Task 3: Preparing a Cash Flow Statement
Nikea Inc.'s income statement for the year 2013 is shown below:
During the year, the balances for the sales account, cost of goods sold, and gross profit
increased. This information is provided to you. Prepare the cash flow for operating activities,
using both the direct method and the indirect method.
Accounts
Nikea's income statement for the year 2013 is shown below.
Cost of Goods Sold
Gross Profit
Operating Expenses
Deprecation
Styles
Net Income
934,000 Total Liability & Stockholders Equity
Type your response here:
Amount ($)
600,000
14
(400,000)
200,000
(30,000)
(20,000)
150,000
934,000
4
Editin
The preparation of the Cash Flow Statement for Nikea Inc. for the year ended December 31, 2013, is as follows:
Direct Method:
Nikea Inc.
Cash Flow StatementCash received from customers $600,000
Cash paid to suppliers of goods (400,000)
Cash paid to vendors of servides (30,000)
Cash from operating activities $170,000
Indirect Method:
Nikea Inc.
Cash Flow StatementFor the year ended December 31, 2013
Net income $150,000
Add non-cash expenses:
Depreciation 20,000
Cash from operating activities $170,000
What is the difference between the direct method and the indirect method of Cash Flow Statement?The direct method of preparing the Cash Flow Statement starts with the operating income and adds the non-cash expenses to obtain the cash flow from operating activities.
On the other hand, the indirect method reconciles the accounts receivable and payable to extract the exact cash flows received from customers or paid to suppliers of goods and services.
Both methods of determining the cash flow from operating activities yield the same result.
Data and Calculations:Nikea’s income statement for the year 2013
Sales $600,000
Cost of Goods Sold (400,000)
Gross Profit 200,000
Operating Expenses (30,000)
Deprecation (20,000)
Net Income 150,000
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The number 27 is ___?
-prime
-composite
Answer:
the number 27 is a composite
Step-by-step explanation:
Yes, since 27 has more than two factors . 1, 3, 9, 27. In other words, 27 is a composite number because 27 has more than 2 factors
Answer:
The number 27 is composite.
The intensity (1) of a light source is inversely proportional to the square of the distance (d) from the source. If the intensity is 16 lumens at a distance of 16 feet, what is the intensity at a distance of 14 feet? Round to the nearest hundredth.
The intensity at a distance of 14 feet is 18.29 ft
How to find the intensity of light?The intensity (I) of a light source is inversely proportional to the square of the distance (d) from the source.
Light intensity refers to the strength or amount of light produced by a specific lamp source
The light intensity is measured in terms of lumens per square foot or lumens per square meter.
Therefore,
I ∝ 1 / d²
Hence,
I = k / d²
where
I = intensity of lightd = distance form the sourceTherefore,
k = Id²
k = 16 × 16
k = 256
Hence,
I = 256 / 14
I = 18.2857142857
I = 18.29 ft
Therefore, the intensity at a distance of 14 feet is 18.29 ft
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A sports store sells 70 pairs of running shoes per
day for $40.00 each. The owner estimates that
for each $3.00 increase in price, 3 fewer sales
are made each day. What price should be charged
to maximize profit?
Answer:
$55
Step-by-step explanation:
so, we know that each day the store will currently sell $2800 worth of shoes.
we want to know the maximum of the expression (40+3x)(70-3x), expanding we get 2800 - 9x^2 + 90x,
the maximum of this would be x = 5, so the price they should charge is 55
a shopkeeper buys chewing gum from a wholesale dealer $1 for five pieces. Then he sells it to the customer at $1 for four pieces. what is his profit percentage?
Answer:
9
Step-by-step explanation:
it should be that should be the answer it should be 9 bcuz he bout gum for 1 he got 5 peaces so dets 5$ then someone else got sumthing for 1$ and they got 4 peicea so thats 4$ 5+4 is 9
What is the solution to the inequality -6+l2p+3l>7?
Answer: A
Step-by-step explanation: add 6 on each side you get 2p+3>13 then subtract 3 you get
2p> 10 divide by 2 you get p>5
solve for unknown in 2x^3+6x^2-20x=0
The solution of x is x = 0, x =2 and x = -5
How to solve for the unknown?The equation is given as:
2x^3+6x^2-20x=0
Factor out x
x(2x^2+6x-20)=0
Split the equation
x = 0 or 2x^2+6x - 20=0
Solve for x in 2x^2+6x - 20=0
Expand the equation
2x^2 + 10x - 4x - 20 = 0
Factorize the equation
(2x - 4)(x +5) = 0
Split the equation
2x - 4 = 0 and x + 5 = 0
Solve for x
x =2 and x = -5
Hence, the solution of x is x = 0, x =2 and x = -5
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Which phrase best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)²?
O6 unit left
O6 unit right
O 1 unit left
O 1 unit right
Answer:
1 UNIT LEFT best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)².
2) Put the following numbers in order from
greatest to least.
6.05, 6.007, 6.5, 6.25
Answer: 6.5, 6.25, 6.05, 6.007
Step-by-step explanation:
We need to look at each place value to see which one is the biggest. Since the units place is the same for all the numbers, let's look at the tenths place.
6.5, 6.25, 6.05, 6.007
Since 5 is the biggest number out of all that are underlined, 6.5 is the biggest one, and goes first.
2 is the second biggest number out of all that are underlined, so 6.25 goes second.
However, there are 2 numbers that have 0 in their tenths place, so we need to go one place value further: the hundredths place.
6.05, 6.007
Since 5 is bigger than 0, 6.05 goes third. 6.007 is the only number left, so it goes last.
Hence, the order is 6.5, 6.25, 6.05, 6.007
find the unknown side of the right triangle using the information given leg=12m, leg=6 m
Answer:
Step-by-step explanation:
Given
Leg = 10
Leg = 6
hypotenuse = ?
equation
c^2 = a^2 + b^2
a = 10
b = 6
Solution
c^2 = 10^2 + 6^2 Expand
c^2 = 100 + 36 Combine
c^2 = 136 Take the square root of both sides
√c^2 = √136
c = 11.66
answer
hypotenuse = 11.66
If you apply the changes below to the exponential parent function f(x)=2^x, what is the equation of the new function? Shifts five units to the right, Shifts seven units down
the equation of the new function is:
[tex]g(x) = 2^{x - 5} - 7[/tex]
What is the equation of the new function?We have a function:
[tex]f(x) = 2^x[/tex]
And we want to shift it five units to the right, and seven units down, then the new function will be:
[tex]g(x) = f(x - 5) - 7[/tex]
If we now replace f(x), we get:
[tex]g(x) = 2^{x - 5} - 7[/tex]
That is the equation of the new function.
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Last year, Kevin had 20,000 to invest. He invested some of it in an account that paid 6% simple interest per year, and he invested the rest in an account that paid 10% simple interest per year. After one year, he received a total of $1480 in interest. How much did he invest in each account?
$13,000 was invested at 6% whereas $7,000 was invested at 10% using simple interest approach
What is simple interest?
Simple interest is determined as the amount invested multiplied by the interest rate and the number of years that investment lasts.
I=PRT
I=interest
P=principal
R=rate of return
T=time
Let X be the amount invested at 6%
I at 6%=6%*X*1
I=0.06X
The amount invested at 10% is 20,000-X
total interest=0.06X+0.10*(20000-X)
total interest=1,480
1480=0.06X+0.10*(20000-X)
1480=0.06X+2000-0.10X
1480-2000=0.06X-0.10X
-520=-0.04X
X=-520/-0.04
X=13,000
13,000 was invested at 6%
amount invested at 10%=20,000-X
amount invested at 10%=20,000-13,000
amount invested at 10%=7,000
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What are the coefficients of the expression -sup(x,2)+9x?
The coefficients in the expression are -1 and 9
How to determine the coefficients?The expression is given as:
-x^2 + 9x
In an expression ax, the coefficient is a.
Using the above as a guide, we have:
-x^2 + 9x
The coefficients in the above expression are -1 and 9
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Cheese fries or Home fries
it gotta be cheese fries fa sho
On Sunday, a local hamburger shop sold a combined total of 320 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?
Answer:
80
Step-by-step explanation:
1) if the number of hamburgers is 'h', number of cheesburgers is 'c', then
2) the condition 'The number of cheeseburgers sold was three times the number of hamburgers' can be written as c=3h. Also
3) the condition 'combined total of 320' can be written as h+c=320, then
4) it is possible to make up the system of equations:
[tex]\left \{ {{c=3h} \atop {c+h=320}} \right. \ = > \ \left \{ {{c=240} \atop {h=80}} \right.[/tex]
5) finally, number of hamburgers is 80.
A pattern has 2 blue triangles to every 10 yellow triangles. What is the ratio of blue triangles to all triangles?
Answer:
2 : 12
Step-by-step explanation:
There are 2 blue triangles, so 2 will come first. It's then followed by the sum of blue and yellow, which is 2 + 10, which is 12. So, the ratio is 2 : 12.
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The diameter of a pipe is normally distributed, with a mean of 0.8 inch and a variance of 0.0004. What is the probability that the diameter of a randomly selected pipe will exceed 0.84 inch? (You may need to use the standard normal distribution table. Round your answer to three decimal places.) . Hint: take the square root of the variance to find the standard deviation.
The probability that the diameter of a randomly selected pipe will exceed 0.84 inch is 0.977
What is probability?Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events
How to determine the probability?The given parameters are:
Mean = 0.8
Variance = 0.0004
Calculate Standard deviation using
σ = √σ²
This gives
σ = √0.0004
Evaluate
σ = 0.2
Calculate the z-score at x = 0.84 using
z = (x - [tex]\bar x[/tex])/σ = √σ²
This gives
z = (0.84 - 0.8)/0.02
Evaluate
z = 2
The probability is then represented as:
P(x > 0.84) = P(z > 2)
Next, we look up the value of the z table of probabilities
From the z table of probabilities, we have:
P(x > 0.84) = 0.977
Hence, the probability that the diameter of a randomly selected pipe will exceed 0.84 inch is 0.977
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how do I type in greater than in my computer
Answer:
hold shift then press the lil right arrow next to the question mark
Step-by-step explanation:
Answer:
shift + >
Step-by-step explanation:
Hope this helps
Which figure is described below?
The locus of points in a plane 1 unit from the point (0,0).
ray
circle
plane
line
Answer:
CIRCLE
Step-by-step explanation:
Write an equation in standard form of the line passing through the points (3, 5) and (8, 15)
hi,
a point is given ( x; y)
standar line equation is : y = ax+b
So with (3;5) and (8;15) we have :
3a+b = 5
8a+b = 15
so :
8a+b - ( 3a +b) = 15 -5
8a +b -3a -b = 10
8a-3a = 10
5a = 10
a = 10/5
a = 2
if a = 2 so 3*2 +b = 5
6+b = 5
b = 5-6
b = -1
so let check :
8*2 + (-1) = 16 -1 = 15
and 3*2 -1 = 6-1 = 5
coordonnate works for both point, so line is y = 2x -1
cual es el vaolor de t-19=1
Answer:
t=20
Step-by-step explanation:
t-19=1
t-19(+19)=1+19
t=20
Find the slope of the line passing through the points (6, 4) and (6, -3).
Answer:
undefined
Step-by-step explanation:
slope = (y_2 - y_1)/(x_2 x_1)
slope = (-3 - 4)/(6 - 6)
slope = -7/0
Since division by zero is undefined, this line has undefined slope.
a bag contains 15 counters:7 red 4 blue and 4 green.a counter is taken out of the bag at random.what is the probability of choosing the following: a red or blue counter.
[tex]|\Omega|=15\\|A|=7+4=11\\\\P(A)=\dfrac{11}{15}\approx73.3\%[/tex]
Answer:
RED COUNTER: 7/15
BLUE COUNTER: 4/15
Hope it helps,
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A person mixed 80l milk with 2% fat and 40l milk together. If the fat amount in the whole mixture is 3%, what is the fat percentage in the second type of milk?
The fat percentage in the second type(40 liters) of milk is 1%
Percentagefats in 80 liters milk = 2% fat40 liters = x % fatTotal fat = 3%Fats in 40 liters of milk = Total fat - fats in 80 litrrs milk
= 3% - 2%
= 1%
Therefore, the fat percentage in the second type of milk is 1%
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Write an interval using interval notation to describe the set of values shown above.
Answer:
(-4,3）
Step-by-step explanation:
The intervals are denoted as:
Closed intervals = [a, b]
This interval includes a and b.
Open intervals = (a, b)
This interval does not include a and b.
The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].
What are intervals?The intervals are numbers or values between two given point
The intervals are denoted as:
Closed intervals = [a, b]
This interval includes a and b.
Open intervals = (a, b)
This interval does not include a and b.
We have,
A number line.
The set of values that is in the blue line is from -4 to 3.
This means that the blue line includes values from -4 to 3.
There are infinite numbers between -4 to 3.
The blue line denoted that the values -4 and 3 are also included.
The interval that denotes the values between -4 and 3 is:
= [-4, 3]
Thus,
The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].
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Multiply 3.4x and 1.2x.
4.08x2
4.6x2
4.08x
4.6x
Answer: 4.08x2
Step-by-step explanation:
Answer:
4.08x2
Step-by-step explanation:
CORRECT ANSWER PLEASE!!!!! 150 points
Answer: -7
Step-by-step explanation:
First, lets use the functions to find the answer to f(-8) and g(4)
f(-8) is the same as asking for the value of y when x is -8
Therefore, f(-8) = -5 (according to the graph)
Using the same rule, g(4) would be the value of y when x = 4 which,
according to the graph, g(4) = 3
Plug these values back into the original equation to get:
[tex]-1*f(-8)-4*g(4)=?\\=-1*-5-4*3\\[/tex]
using the order of operations, we will multiply the values first
[tex](-1*-5)+(-4*3)\\=5+(-12)\\=5-12\\=-7[/tex]
Therefore, our final answer is -7Answer:
-7
Step-by-step explanation:
Given IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15, the proportion of people with IQs above 130 is
The proportion of people with IQs above 130 is 2.3%.
How to calculate the value?Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Here the mean is 100 and a standard deviation of 15.
µ = 100, σ = 15
P(X > 130) =
= P( (X-µ)/σ > (130-100)/15)
= P(z > 2)
= 1 - P(z < 2)
Using excel function:
= 1 - NORM.S.DIST(2, 1)
= 0.023 = 2.3%
The value is 2.3%.
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