Answer:7 x 10 ^1 is the right answer
Step-by-step explanation:
Hope this helps :)
There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.
To determine the number of times smaller is the bacterial cell than the amoeba cell.
⇒ amoeba cell / bacterial cell
⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m
Apply the division operation, and we get
⇒ 0.7 × 10⁻⁴ × 10⁶
Adding the exponents of the above terms
⇒ 0.7 × 10⁻⁴⁺⁶
⇒ 0.7 × 10²
⇒ 7 × 10¹
Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.
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the patter is 1, 8, 27, 64, 125 if this patter was produced in a normal spreadsheet what is the number in cell A14?
The number in cell A14 is 2744
How to determine the number in cell A14?The pattern is given as
1, 8, 27, 64, 125
When the above number in the pattern is represented as exponents, we have
1^3, 2^3, 3^3, 4^3, 5^3
So, the nth term is
Tn = n^3
In cell A14, the value of n is 14
So, we have
T14 = 14^3
Evaluate
T14 = 2744
Hence, the number in cell A14 is 2744
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A rectangle's width is 6 feet less than its length. Write a quadratic function
that expresses the rectangle's area in terms of its length.
A. A(1)=1²-61
B. A(7)=7w
c. A(1)=12+61
D.A(7)=1-6
Answer:
A. A(l) = l² -6l
Step-by-step explanation:
You want a quadratic function for the area of a rectangle whose width is 6 feet less than its length.
Rectangle areaLet l (ell) represent the length of the rectangle in feet. Then the width will be 6 feet less, or (l -6). The area is the product of length and width:
A = LW
A(l) = l(l -6)
A(l) = l² -6l . . . . . . use the distributive property to eliminate parentheses
Given −16.98(5.2), find the product.
−882.96
−88.296
−15.282
11.886
Answer: 882.96
Step-by-step explanation:
The product of -16.98 and 5.2 is -88.296.
The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:
-16.98 * 5.2 = -88.296.
Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.
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4. Plans to vote
“yes” on issue Q
Plans to vote
“no” on issue Q Total
Plans to vote
“yes” on issue P 8 12 20
Plans to vote
“no” on issue P 14 16 30
Total 22 28 50
The table above shows a survey of 50 registered voters
in a city. Each voter was asked whether they planned to
vote “yes” or “no” on two different issues. If a voter who
plans to vote “yes” on issue P is randomly selected, what
is the probability that voter also plans to vote “yes” on
issue Q
The probability that voter also plans to vote “yes” on issue Q is found to be 0.4.
What is defined as the probability?The ratio of the total count of favorable outcomes to a total number of outcomes like an event is defined as probability. The number of favorable outcomes for an experiment with 'n' outcomes is denoted by x.The following equation is used to determine the probability of an event.
Probability(Event) = Favorable Outcomes/Total Outcomes
Probability(Event) = x/n
Eight voters intend to vote "yes" on both issues.
So, the favourable outcome becomes = 8.
Twenty voters intend to vote "yes" on issue P.
Thus, the total outcome = 20.
This is denoted by 8 /20 = 0.4.
Therefore, the likelihood that a voter will vote "yes" on issue Q is found to be 0.4.
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I need help on question 1-6 please
Ill mark brainlist
Answer:
1: 7.2 2: 2012 3: 2014 and 2015 4: 2011 5: 6.6 6:1
Step-by-step explanation:
I don't have time to explain.
It just is.
What is the sum of the two polynomials?
x² - 4x +5
+3x²+x-2
O 4x4 - 3x² +3
O 4x²-3x +3
O 4x²-3x+7
O 3x²-3x+7
O 3x²-3x +3
Answer:
4x^2-3x+3 yessssssssssss
What kind of passenger be considered a true negative ?
Answer: A someone with dangerous material passed by security
Step-by-step explanation:
one driver had lap speeds of 195.3 mph, 190.456 mph,193.557 mph, and 192.575 mph. What was the driver's average speed for the laps driven?
The driver’s average speed for the laps driven is 192.972mph
The formula for average speed is given below:
Average speed = (Sum of the lap speeds driven by the driver) / (Total number of the lap speed driven by the driver)
Sum of the lap speed = 195.3 + 190.456 + 193.557 + 192.575 mph
= 771.888 mph
Number of lap speed driven by the driver = 4
Now putting the required values in the formula of average speed we get
Average speed = 7771.888/4 mph
= 192.972 mph
Hence the driver’s average speed for the laps driven is 192.972mph
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Write the standard form of the equation of the circle with the given characteristics.
Center: (-3, 4); Radius: 3
4. [-/6 Points]
DETAILS
LARPCALC11 1.3.027.
Find the slope of the line passing through the pair of points. (If an answer does not exist, enter DNE.)
(-8, -12), (1, 24)
The standard form of the equation of the circle is (x+3)²+(y-4)²=9 .
The slope of the line is
A circle is defined as the locus of a moving point which is always equidistant from a given point.
This given point is called the center of the circle.The distance between the center and the circumference of the circle is the radius if the circle.The standard form of a circle is given by the equation : (x-x₁)²+(y-y₁)²=r² , where (x₁,y₁) is a point on the circle and r is the radius.The given point on the circle is (-3, 4) and the radius is 3 units.
Hence the standard form of the equation of the circle is :
(x-{-3})²+(y-4)²=3²
or, (x+3)²+(y-4)²=9
Let the two given two points as A(-8, -12) and B(1, 24).
Now the slope of the line AB can be calculated by the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex]
Now let us put the given values in the equation to calculate slope:
[tex]m_{AB}=\frac{24-(-12)}{1-(-8)}\\\\or, m_{AB}=\frac{36}{9} \\\\or, m_{AB}=4[/tex]
Hence the slope of the line is 4.
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please refer to the image
a shelf contains 8 novels, 5 biographies, and 2 dictionaries. jane will select one book of each type. how many different ways can this be done?
solve for b r=9(b+a)
Is -1.5 greater than 2.1
Simplify negative 2 and 3 over 5 minus 6 and 2 over 7.
The value of the expression is -311/35
How to simplify the expression?The expression is given as
negative 2 and 3 over 5 minus 6 and 2 over 7.
Rewrite properly as
- 2 3/5 - 6 2/7
Express as improper fraction
-13/5 - 44/7
Take the LCM
(-13 * 7 - 44 * 5)/35
Evaluate
-311/35
Hence, the value of the expression is -311/35
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Suppose these show number of hours each student in a class slept last night:
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
What is the mean of these numbers (rounded to the nearest tenth)?
What is the median?
Mean: 6.9 hours; Median 7 hours
Mean: 6.9 hours; Median 7.5 hours
Mean: 7 hours; Median 6.9 hours
Mean: 7.2 hours; Median 7 hours
⊂ Hey, rosedalphinis ⊃
Answer:
Mean: 6.9 hours; Median 7 hours
Step-by-step explanation:
⇒ Given:
-------------------------------------------------------------------------------------------------------------
Suppose these show number of hours each student in a class slept last night:
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
What is the mean of these numbers (rounded to the nearest tenth)?
What is the median?
Mean: 6.9 hours; Median 7 hours
Mean: 6.9 hours; Median 7.5 hours
Mean: 7 hours; Median 6.9 hours
Mean: 7.2 hours; Median 7 hours
-------------------------------------------------------------------------------------------------------------
⇒ Solution~:
-------------------------------------------------------------------------------------------------------------
Let's first define "Median".
You may be wondering "What is median/What is mean?".
When it asking for "Mean" It asking for the average.
When it asking for "Median" It asking for the middle number.
The formula for "Mean" is : M = sum of the terms/number of terms
According to the given we have;
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
Let's first find the "Mean":
First, add all the number together.
8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
34 + 9 + 6 + 5 + 10 + 7 + 6 + 6
43+ 6 + 5 + 10 + 7 + 6 + 6
49+ 5 + 10 + 7 + 6 + 6
54+ 10 + 7 + 6 + 6
64 + 7 + 6 + 6
71+ 6 + 6
77 + 6
= 83
Now let's count how many numbers of hours each student in a class slept.
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12
Now 83 divide by 12:
83/12 = 6.9166666666667 {Round}
6.9166666666667 = 6.9
Therefore, Mean = 6.9
-------------------------------------------------------------------------------------------------------------
Next, Let's find the "Median":
To find the Median, place the numbers in value order and find the middle.
⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Now we have them in order:
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Then, we find the middle number:
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Now You see that there two's 7 left.
If there is an even number of numbers add the two middles and divide by 2
Thus,
7 + 7 = 14
14/2 = 7
Therefore, Median = 7.
-------------------------------------------------------------------------------------------------------------
According to the solving above we can conclude that:
Mean: 6.9 hours; Median 7 hours
-------------------------------------------------------------------------------------------------------------
xcookiex12
9/4/2022
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At the visitor center gift shop Peter can afford to buy either 4 postcards and 9 stickers or 8 postcards and 6 stickers both options leave him no change if Peter wanted to buy only postcards how many could he buy
Answer:
20
Step-by-step explanation:
Hope the picture helps
You keep subtracting until you get zero and you keep adding the same amount
If Peter wanted to buy only postcards, he could buy 2 postcards.
Given that,
Peter can afford to buy either 4 postcards and 9 stickers or 8 postcards and 6 stickers.
Both options leave him with no change.
Peter wants to buy only postcards.
Assume that the cost of a postcard is the same as the cost of a sticker.
In the first scenario,
Peter spends the same amount on postcards and stickers.
So, if he wanted to buy only postcards,
He could buy half the number of postcards he could buy in the first scenario.
Therefore, Peter would be able to buy 2 postcards if he wanted to buy only postcards.
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I can't understand,
Answer:so dividing you add a extra zero behind the dot or point while multiplying you decrease the decimal to a whole number
if it is right pls give me brainliest
Step-by-step explanation:The relationship between 0.8 divided by 10^2 and 0.8x10^2 is that 0.8 divided by 10^2 means you add extra zero to the dot like this 0.008 so what it mean is that 10^2 is to add extra zeros in front of the point or dot in 0.8 while 0.8x10^2 decreases the zero like this 80 so we remove the 0 in 0.8 which mean 0.8 is no longer a decimal but a whole number now and then add a extra zero because 10^2 mean add two zeros so if you see a number infornt of 10^ like 2 is how many zeros you add. so you add to extra zeros to 0.8 which decreases
How to solve math problem
Answer: by doing math
Step-by-step explanation:
What is the answer to this help (number 4.)
26) Jody earns $8.00 per hour.
Michael earns $10.00 per hour.
They each earn a 2% commission on what they sell.
Jody sold $6000. She worked 30 hours.
Michael sold $5000. He worked 40 hours.
What were each of their earnings for the week?
What was the difference in their earnings?
Jody's weekly earning is $360 and Michael's weekly earning is $500
The difference between their earning is $140
Jody sold $6000
2% commission of $6000 is (2/100)x 6000
Jody's commission is $120
He earns $8 per hour and he worked for 30 hours
= 8 x 30
=$240
Jody's total earning = 240 + 120 = $360
Michael sold $5000
2% commission of $5000 is (2/100)x 5000
Michael's commission is $100
He earns $10 per hour and he worked for 40 hours
= 10 x 40
=$400
Michael's total earning = 400 + 100 = $500
Difference in there earnings= Michael's earning - Jody's earning
= 500- 360
= $140
Therefore, Jody's weekly earning is $360 and Michael's weekly earning is $500
The difference in their earning is $140
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Kubin Company’s relevant range of production is 12,000 to 16,000 units. When it produces and sells 14,000 units, its average costs per unit are as follows:
Average Cost per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Fixed manufacturing overhead $ 5.30
Fixed selling expense $ 3.80
Fixed administrative expense $ 2.80
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Required:
1. Assume the cost object is units of production:
a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?
2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department?
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?
3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 of its total fixed selling expense on advertising and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives’ compensation.
a. When the company sells 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives?
b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?
2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.
a. How much total manufacturing cost is directly traceable to the Manufacturing Department? (Round per unit values to 2 decimal places.)
b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?
Show less
2a. Direct material cost per unit
2a. Direct labor cost per unit
2a. Variable manufacturing overhead per unit
2a. Fixed manufacturing overhead per unit
2a. Total manufacturing cost per unit $0.00
2a. Number of units produced and sold
2a. Total direct costs $0
2b. Total indirect costs
1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600.
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200.
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600.
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200.
3a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
3b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
2a. Direct material cost per unit is $7.30.
2a. Direct labor cost per unit is $4.30.
2a. The Variable manufacturing overhead per unit is $1.80.
2a. The Fixed manufacturing overhead per unit is $5.30.
2a. The total manufacturing cost per unit is $18.70 ($13.40 + $5.30)
2a. The number of units produced and sold is 14,000 units.
2a. Total direct costs are $217,000 (14,000 x $13.40 + 14,000 x $2.10).
2b. Total indirect costs are $166,600 (14,000 x $5.30 + 14,000 x $6.60).
Data and Calculations:Relevant production range = 12,000 to 16,000 units
Production and sales units = 14,000 units
Average Cost
per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Direct cost per unit $13.40
Fixed manufacturing overhead $ 5.30
Total manufacturing cost per unit $18.70
Fixed selling expense $ 3.80 $53,200 ($3.80 x 14,000)
Fixed administrative expense $ 2.80 $39,200 ($2.80 x 14,000)
Total fixed costs per unit $6.60 $92,400 ($6.60 x 14,000)
Variable selling and admin:
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Total variable selling and admin per unit = $2.10
1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600 ($13.40 x 14,000).
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200 ($5.30 x 14,000).
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600 ($13.40 x 14,000).
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200 ($5.30 x 14,000).
3) Fixed selling expenses = $53,200 ($3.80 x 14,000)
Advertising expenses = $39,200
Sales Compensation = $14,000 ($53,200 - $39,200)
Sales Commission = $18,200 ($1.30 x 14,000)
Total Salespersons' compensation = $32,200
a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
2a. Direct material cost per unit is $7.30.
2a. Direct labor cost per unit is $4.30.
2a. The Variable manufacturing overhead per unit is $1.80.
2a. The Fixed manufacturing overhead per unit is $5.30.
2a. The total manufacturing cost per unit is $18.70 ($13.40 + $5.30)
2a. The number of units produced and sold is 14,000 units.
2a. Total direct costs are $217,000 (14,000 x $13.40 + 14,000 x $2.10).
2b. Total indirect costs are $166,600 (14,000 x $5.30 + 14,000 x $6.60).
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You bought f pounds of fruit today. Today, you bought 3 times as many pounds of fruit as you bought yesterday. Which expression correctly shows how many pounds of fruit you bought yesterday? is it
f + 3
3f
3 ÷ f
f ÷ 3
or
none of the above
The answer would be 3f.
Error Analysis You and a friend are doing math homework together. You have to solve the equation 5x + 4x - 68 = 34 - 8x. Your friend arrives at the incorrect answer x = -2. Find the correct value of x. Then find the error your friend possibly made. X x=0 What possible error could your friend have made to get x = -2? OA. Your friend should have added 68 to each side of the equation, but instead subtracted 68 from the right side. OB. Your friend should have added 8x to each side of the equation, but instead subtracted 8x from the left side. OC. Your friend should have added 5x and 4x to get a sum of 9x, but instead got a sum of 8x.
This is probably what steps your friend took, or something similar.
5x+4x-68 = 34-8x
9x = 34-8x-68
9x = -8x-34
9x+8x = -34
17x = -34
x = -34/17
x = -2
However, the error is when they subtracted 68 from both sides (line 2).
Instead, they should have added 68 to each side to undo the -68 on the left hand side.
----------------------------
Here's what the steps should look like (one variation of it anyway)
5x+4x-68 = 34-8x
9x = 34-8x+68
9x = -8x+102
9x+8x = 102
17x = 102
x = 102/17
x = 6 is the correct value of x
--------------------------
Check:
5x+4x-68 = 34-8x
5*6+4*6-68 = 34-8*6
30+24-68 = 34-48
54-68 = 34-48
-14 = -14
We get the same thing on both sides after replacing each x with 6, so it confirms x = 6 is the solution.
If you were to try x = -2, then you would end up with -86 = 50 which is a false statement. So that rules out x = -2 as a solution.
a. Solve x + 8 - x + 8
b. If you simplify an equation and get 00, what can you conclude about the solution(s) of the original equation?
To solve an linear equation we need to use BODMAS rule.
Here the given equation is;
(x+8-x+8)
We know very well that if two like numbers have opposite sign and are added then it gets cancelled and gives zero as the result.
Similarly, here x and -x gets cancelled and we get 16 as the result.
If we get the solution of an equation as zero then we may say that the equation has no real solution. That means there are no values of the unknown which will complete the equation.
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Whats 9,999 - 999 x (12 - 9) divided by 10?
Answer: 9699.3
Step-by-step explanation:
?
Angle DFG and angleJKL are complementary angles. If the measure if the angle DFG=x+2 and the measure of the angle JKL =x+9 then find x.
complementary angles m < DFG = 48, m < JKL = 42 is value of x .
What is the opposing angle to the above example?
Complementary angles are those whose combined angle is exactly 90 degrees. 30 degrees and 60 degrees, for instance, are complimentary angles.
∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,
and m∠JKL = x − 1
When two angles are complementary then the sum of angles is 90 degrees
∠DFG and ∠JKL are complementary angles.
So m < DFG < + m < JKL = 90
Now replace the expressions and solve for x
x + 5 +x - 1 =90
2x + 4 = 90
2x = 90 - 4
2x = 86
x = 43
Now replace x with 43 and find out each angle
m < DFG = x + 5
m < DFG = 43 + 5 = 48
m < DFG = 48
m < JKL = x - 1 = 43 - 1 = 42
m < DFG = 48
m < JKL = 42
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f(x) = 3x - 4
Find f(-1)
Translate this sentence into an equation.
The difference of Goran's height and 10 is 57
Use the variable g to represent Goran's height.
Answer:
g-10=57
Step-by-step explanation:
'Difference' means to subtract.
Find the union of the sets (22, 33, 44, 55) and (66, 44, 22}
Application of Finite Mathematics
The union of the sets is { 22, 33, 44, 55, 66 }
What is the union of sets?The union of sets can be defined as the sum of the elements of two or more sets without repetition of those elements.
It is also known as the combination of the all the elements of two or more sets.
It is denoted using the symbol , ' ∪ '
Given the sets;
(22, 33, 44, 55)(66, 44, 22}The union of the sets is:
{ 22, 33, 44, 55, 66 }
Thus, the union of the sets is { 22, 33, 44, 55, 66 }
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The population of Nevada was 3.0 million in 2018 and 2.7 million. in 2010. Assuming an exponential model: (a) Write the population of Nevada in the form N = Noat, where N is the population of Nevada in millions, No and a are constants, and t is time in years since 2010. NOTE: Enter the exact answer for No. Enter an exact value for a or round to 4 decimal places. N(t) = = (b) What was the estimated population of Nevada in 2009? NOTE: Round your answer to 3 decimal places. The population in 2009 was approximately million people.
the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.
According to the question, we have the information that:
N = 3 million
No = 2.7 million
a = 8 years
Now, we need to find the exponential model for the given data.
Do putting the values in the equation to get the value of a, we have:
3 = 2.7 (a)^(8)
1.1111 = a^(8)
a = 1.0133
So, the exponential model will be:
N = 2.7 (1.0133)^(t)
Now, the estimated population in 2009 will be:
t = - 1
So, we get that:
N = 2.7 (1.0133)^(-1)
N = 2.7 / 1.0133
N = 2.6646 million
Therefore the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.
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