The value of MPL for the various cases are;
A) MPL = 49.98
B) MPL = 49.8
C) MPL = 48
D) MPL = 30
We are given;
Q = 50L - 0.01L²
Now MPL means marginal product of labor and it is defined as the derivative of Q with respect to L. Thus;
MPL = dQ/dL = 50 - 2(0.01L)
A) When L = 1;
MPL = 50 - 2(0.01 × 1)
MPL = 49.98
B) When L = 10;
MPL = 50 - 2(0.01 × 10)
MPL = 49.8
C) When L = 100
MPL = 50 - 2(0.01 × 100)
MPL = 48
D) When L = 1000
MPL = 50 - 2(0.01 × 1000)
MPL = 30
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Howard's stew recipe makes 6 servings and uses 2 carrots and 3 ears of corn. Drag carrots and corn into the box to show how many Howard needs for 12 servings.
Answer: 4 carrots and 6 ears of corns
Step-by-step explanation:
Howard needs 4 carrots and 6 ears of corn for 12 servings of stew.
How many carrots and ears of corn does Howard need for 12 servings of stew?To get how many carrots and ears of corn Howard needs for 12 servings of stew, we can set up a proportion based on the number of servings.
Let x be the number of carrots
Let y be the number of ears of corn needed for 12 servings.
Proportion:
6 servings of stew need 2 carrots and 3 ears of corn
12 servings of stew need x carrots and y ears of corn
(2 carrots) / (6 servings) = (x carrots) / (12 servings)
(3 ears of corn) / (6 servings) = (y ears of corn) / (12 servings)
2 * 12 = 6 * x
3 * 12 = 6 * y
24 = 6x
36 = 6y
Solve for x and y:
x = 24 / 6
x = 4
y = 36 / 6
y = 6.
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A missile uses an internal computer clock to measure time in tenths of a second. The missile guidance system needs the time from launch, in seconds, in order to calculate its distance from the launch site. It obtains this by multiplying the computer clock time by 0.1. So, for example, a reading of 50 tenths of a second is 5 seconds. For one particular missile system, the conversion factor of 0.1 is stored in 8 bits as the binary number 0.000110012.
The missile’s internal computer clock shows 200 tenths of a second. Convert this to seconds using your result from Part (i) of this question. Do not round your answer. The missile guidance system now records that it has travelled for this number of seconds.
Using proportions, it is found that the missile's internal computer clock is of 20 seconds.
According to the information given, this question can be solved by proportions, using a rule of three.50 tenths of a second is equivalent to 5 seconds, and we want to find the equivalent to 200 tenths of a second, thus, the rule of three is:
50 tenths - 5 seconds
200 tenths - x seconds
Applying cross multiplication:
[tex]50x = 5(200)[/tex]
[tex]50x = 1000[/tex]
[tex]x = \frac{1000}{50}[/tex]
[tex]x = 20[/tex]
The missile's internal computer clock is of 20 seconds.
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Is 8 a solution to the equation x+6=x+6
Answer:
If you mean could x be eight, then yes, x could equal eight. However, any number could be the solution as this equation has an infinite solution.
Step-by-step explanation:
Once again, I am going off of you are asking if eight could be x. If that is what you are asking, here is the reason.
The equal sign shows that both sides equal each other. If you plug in 8 for x, then you get:
8+6=8+6
14=14
Does 14=14? Yes, so plugging in eight for x works. However, looking at this, we can see that your solution would actually be an infinite solution. This is because, no matter what number we plug in for x, we will get a true statement.
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
x. f(×)
6. 9
7. 7
8. 5
9. 3
10. 1
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
x = -7 —> f(x) =4
x = -1 —> f(x) = 4
x=2 —> f(x) = 4
I hope I helped you^_^
solve this equation
3/7x+5=-4/7x-3
Answer:
x = -8
Step-by-step explanation:
[tex]\frac{3}{7} x + 5 = \frac{-4}{7} x - 3\\5 = -1x-3\\8 = -1x\\-8 = x[/tex]
A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get
28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes, find the empirical probability of getting color P(R).
O A. 6/25
OB. 1/4
O C. 3/10
O D. 13/50
Answer:
B
Step-by-step explanation:
28+25+29+18 = 100
red = 25
25/100 = 1/4
The required empirical probability is 1/4 which gets the color of red P(R).
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get
28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes
To find the empirical probability of getting a red outcome, we need to divide the number of red outcomes by the total number of spins:
P(R) = 25 red outcomes / 100 spins
Apply the division operation, and we get
P(R) = 1/4
Hence, the required empirical probability is 1/4
Therefore, the correct answer is 1/4 or option B.
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What is the simple interest on a principal of $4,200 invested at an interest rate of
8% for 3.5 years?
Answer:
$1176
Step-by-step explanation:
4200 x 0.08 x 3.5 = $1176
Write the prime factorization of 16. Use exponents when appropriate and order the factors from least to greatest (for example, 2.2.3.5).
23
hlp plz this is really hard
Answer:
16 =2^4
Step-by-step explanation:
16
16 = 4*4
but 4 is not prime
4 = 2*2
16 = 2*2*2*2
Rewriting with exponents
16 =2^4
Answer:
→ Prime factorization of 16 :
16 = 2 × 2 × 2 × 216 = 2⁴; in the form b = aⁿhere, n = 4 is the exponent and a = 2 is the prime factor16 = 2⁴ is the right answer.f we randomly choose TWO cards without replacement, what is the probability that we’ll get only one King? [ Select ] If we randomly choose THREE cards without replacement, what is the probability that we’ll get exactly two Red cards? [ Select ] If we randomly choose FOUR cards without replacement, what is the probability that we’ll get exactly one Face card? [ Select ]
Let x be the last digit in your Student number. Give x?
A principal of $350x is invested at 8 % interest for 5 years. Determine the future value
if the interest is compounded quarterly .
After being compounded for a period of 5 years, the amount will rise to $5,200.82.
The interest is given on an annual basis and so is the period yet the compounding period is quarterly. The first thing to do therefore, is to convert the interest and period to quarterly measures.
Interest = 8% / 4 = 2% per quarter
Periods = 5 x 4 = 20 quarters
Amount will be $3,500
The amount after 5 years will be:
= Amount x ( 1 + rate) ^ number of periods
= 3,500 x ( 1 + 2%) ²⁰
= $5,200.8158859
= $5,200.82
In conclusion, the amount will be $5,200.82 after 5 years.
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HELP
match the function with its inverse
Answer:
1st row 3 down
Step-by-step explanation:
Answer:
Step-by-step explanation:
PLATO
What is 4 x 3 to the 2nd power
QUESTION 18
A natural gas company charges a fixed customer fee of $ 12.60 every
month even if no natural gas is used. For every unit of natural gas used,
the customer is charged an additional $0.64.
a. Using was the number of units used in a month and y as the total
monthly cost, write an equation that fits this problem.
Answer:
y = 0.64w + 12.60Step-by-step explanation:
This is a linear relationship y= mx + b and:
The y-intercept is b = 12.60The slope is m = 0.64The monthly total is:
y = 0.64w + 12.60Dennis Hausearns $67,000 per year as a business manager. His exemptions
include himself, his wife, and their daughter. The state tax rate in his state is
3.5% of taxable income. Find the state tax withheld using the following figure.
Exemptions
Single
$1,500
Married $3,000
Each Dependent $1,500
$2,142.32
$2,361.50
$2,187.50
$2,237.50
Answer: $2,187.50
Step-by-step explanation:
Define all the exemptions that applie:
exemption for being married: $3000
exemption for 1 dependent: $ 1,500
3000 + 1500 = 4500
Subtract the exemptions from the yearly earnings:
67000 - 4500 = 62,500
Now, applied the 3.5 % tax
3.5 / 100 = (0.035)
62,500 x 0.035 = 2187.50
7) Find the equation of a line that passes through the points (2, 16) and (-1, 7).
Answer:
y=3x+10
Step-by-step explanation:
7-16=-9
-1-2=-3
-9/-3=3
m=3
FIND X. Just type the number.
what does 3x mean?
and can you solve this equation?
Answer:
The diagram shows a right angle 3 x = 90 so x = 30
Or x + 3 x = (180 - 60) = 120
And again x = 30 deg
5551-525152+62626626×552526 solve it.
Answer:
=34602838637675
Step-by-step explanation:
=−519601+(62626626)(552526)
=−519601+34602839157276
=34602838637675
NO LINKS OR ASSESSMENT!!!
Part 2: Domain and Range of Graphs
Domain:
- 2 ≤ x < 2 or x∈ [-2, 2)Range:
-4 ≤ y < 0 or y ∈ (-4, 0]Function:
YES - passes the vertical line test#4Domain:
- 0 ≤ x < 4 or x∈ [0, 4)Range:
-2 < y < 2 or y ∈ (2, 2)Function:
N0- doesn't pass the vertical line test#6Domain:
- 4 < x < 4 or x∈ (-4, 4)Range:
-4 < y ≤ -2 or y ∈ (-4, -2]Function:
YES - passes the vertical line testA diagram of a lot of land is shown. The scale on the diagram is 1 cm represents 2.5 yrds. What is the perimeter of the actual lot of land?
If cost is represented by C(x)=1.8x+10,000 and revenues are represented by R(x)=8.5x, which equation could be used to find the break-even point?
Answer:
8.5x=1.8x+10,000
Step-by-step explanation:
The break-even point is the point where the expressions for the functions have the same value: 8.5x=1.8x+10,000.
Factorise : x^2 - 4x + 5
Answer:
The expression is not factorable with rational numbers
Solve the formula for the variable h.
f= 5gh
h=[
Write the numbers in order from least to greatest.
6.03 , 6 2/5, 6.2, 61/3
Answer:
6.03, 6.2, 6 2/5, 61/3
Step-by-step explanation:
6.03
6 2/5 = 6.4
6.2
61/3 ≈ 20.33
What is an algebraic expression for "40 more than b?
Answer:
40 + b
Step-by-step explanation:
40 more than b = 40 + b
Are the following two figures similar or congruent?
L'
10
KO
8
4
-
Р
-2
-2
2
2
A 6
10 12
62 points! a bus traveled on a level road for 3 hours at an average speed of 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 6 hours. Find the average speed on the levelroad if the entire trip was 482 miles.
Answer:
≈ 66.89 mphStep-by-step explanation:
Let the average speed on the level road was x.
Then the average speed on the winding road was x - 20.
The total distance is:
3x+ 6(x - 20) = 4823x + 6x - 120 = 4829x = 482 + 1209x = 602x = 602/9x ≈ 66.89 mphUse the variable j to represent jennys age
Sum is addition.
Twice Jenny’s age would be multiplying her age by 2.
Answer: 13 + 2j
help me with this sum I will mark you as brainiest
Answer: 195
176
888
173
199
can u pls give brainliest
Jesse roasted 12 marshmallows in 4 minutes. How many marshmallows could she roast in 7 minutes?
Step-by-step explanation:
hi if you don't know a answer for a question you can use the app called.... maths scanner