Answer:
(a) The probability of a woman receiving a salary in excess of $75,000 is 0.1271.
(b) The probability of a man receiving a salary in excess of $75,000 is 0.0870.
(c) The probability of a woman receiving a salary below $50,000 is 0.9925.
(d) A woman would have to make a higher salary of $81,810 than 99% of her male counterparts.
Step-by-step explanation:
Let the random variable X represent the salary for women and Y represent the salary for men.
It is provided that:
[tex]X\sim N(67000, 7000^{2})\\\\Y\sim N(65500, 7000^{2})[/tex]
(a)
Compute the probability of a woman receiving a salary in excess of $75,000 as follows:
[tex]P(X>75000)=P(\frac{X-\mu_{x}}{\sigma_{x}}>\frac{75000-67000}{7000})[/tex]
[tex]=P(Z>1.14)\\\\=1-P(Z<1.14)\\\\=1-0.87286\\\\=0.12714\\\\\approx 0.1271[/tex]
Thus, the probability of a woman receiving a salary in excess of $75,000 is 0.1271.
(b)
Compute the probability of a man receiving a salary in excess of $75,000 as follows:
[tex]P(Y>75000)=P(\frac{Y-\mu_{y}}{\sigma_{y}}>\frac{75000-65500}{7000})[/tex]
[tex]=P(Z>1.36)\\\\=1-P(Z<1.36)\\\\=1-0.91309\\\\=0.08691\\\\\approx 0.0870[/tex]
Thus, the probability of a man receiving a salary in excess of $75,000 is 0.0870.
(c)
Compute the probability of a woman receiving a salary below $50,000 as follows:
[tex]P(X<50000)=P(\frac{X-\mu_{x}}{\sigma_{x}}<\frac{50000-67000}{7000})[/tex]
[tex]=P(Z>-2.43)\\\\=P(Z<2.43)\\\\=0.99245\\\\\approx 0.9925[/tex]
Thus, the probability of a woman receiving a salary below $50,000 is 0.9925.
(d)
Let a represent the salary a woman have to make to have a higher salary than 99% of her male counterparts.
Then,
[tex]P(Y\leq a)=0.99[/tex]
[tex]\Rightarrow P(Z<z)=0.99[/tex]
The z-score for this probability is:
z-score = 2.33
Compute the value of a as follows:
[tex]\frac{a-\mu_{y}}{\sigma_{y}}=2.33\\\\[/tex]
[tex]a=\mu_{y}+(2.33\times \sigma_{y})\\\\[/tex]
[tex]=65500+(2.33\times7000)\\\\=65500+16310\\\\=81810[/tex]
Thus, a woman would have to make a higher salary of $81,810 than 99% of her male counterparts.
1. Bailey withdrew $135 from her checking account. Write an algebraic expression that describes Bailey's action.
Answer:
c − 135
Explanation:
Let's say that the amount of money in Bailey's checking account is
c dollars.
We also know that she took away $ 135
From this variable and number, we can state the algebraic expression
c − 135
Hope this helps!
factor the polynomial expression 16y^4-256x^12
Answer:
see explanation
Step-by-step explanation:
Given
16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex] ← factor out 16 from each term
= 16([tex]y^{4}[/tex] - 16[tex]x^{12}[/tex] ) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b), thus
[tex]y^{4}[/tex] - 16[tex]x^{12}[/tex]
= (y² )² - (4[tex]x^{6}[/tex] )²
= (y² - 4[tex]x^{6}[/tex] )(y² + 4[tex]x^{6}[/tex] )
Now y² - 4[tex]x^{6}[/tex] ← is also a difference of squares
= y² - (2x³)²
= (y - 2x³)(y + 2x³)
Thus
16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex]
= 16(y - 2x³)(y + 2x³)(y² + 4[tex]x^{6}[/tex] )
Answer:
Step-by-step explanation:
4y^2+16x^6, 2y, 4x^3, 2y, 4x^3
Which of the following shows the union of the sets? {1, 5, 10, 15} {1, 3, 5, 7}
Answer:
{ 1,3,5,7,10,15}
Step-by-step explanation:
The union means join together, or all the elements of both sets
{1, 5, 10, 15} U {1, 3, 5, 7}
= { 1,3,5,7,10,15}
Answer:
Step-by-step explanation:
Union of two sets contains the elements that belongs to A set or B set or both
A= {1,5,10, 15}
B ={1,3,5,7}
A U B = {1,3,5,7,10,15}
(1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27) The line is in the form y=mx+b. What is the value of m?
Answer: The value of m = 10.
Step-by-step explanation:
Given points, (1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27)
Each point is represented in the form (x,y).
The line is in the form[tex]y=mx+b[/tex], where m is the rate of change of y with respect to x.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Take [tex]x_1=1\ \ , y_1=5;\ \ x_2=9,\ \ y_2=85[/tex]
Then,
[tex]m=\dfrac{85-5}{9-1}\\\\=\dfrac{80}{8}=10[/tex]
Hence, the value of m = 10.
Answer:
9.15
Step-by-step explanation:
I just took the test Hope this helped :D
y=x2+3x+1 has how many real roots?
Answer:
2 real solutions
Step-by-step explanation:
hello,
[tex]\Delta = b^2-4ac=3^2-4*1*1=9-4=5>0[/tex]
as this is > 0 there are 2 different real solutions
hope this helps
The quadratic equation, y = x² + 3x + 1 has two real roots.
How to define the nature of roots in a quadratic equation?In a quadratic equation of the form, ax² + bx + c = 0, the nature of the roots depends upon the value of the discriminant (D), which is calculated by the formula, D = b² - 4ac.
If the value of D > 0, the equation has real and distinct roots.
If the value of D = 0, the equation has real and equal roots.
If the value of D < 0, the equation has imaginary roots.
How to solve the questionIn the question, we are given an equation y = x² + 3x + 1 and are asked to say how many real roots it has.
To find the roots, we first equate y to 0.
∴ y = x² + 3x + 1 = 0.
Now comparing the equation x² + 3x + 1 to the standard equation ax² + bx + c, we get a = 1, b = 3, and c = 1.
Now, the nature of the roots depends upon the discriminant (D),
D = b² - 4ac = 3² - 4.1.1 = 9 - 4 = 5.
∵ Discriminant (D) > 0, the quadratic equation, y = x² + 3x + 1 has both its root real and distinct.
∴ The quadratic equation, y = x² + 3x + 1 has two real roots.
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What is the volume of the prism below?
8
A. 280 units3
B. 234 units3
C. 140 units 3
D. 560 units3
Answer:
140 units3
Step-by-step explanation:
The volume of the prism below is 420 cubic units.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.
The volume of the prism= B×H
Where, B is base area of prism, and H is height of prism.
Given that,
Length of prism (L) = 12 centimeters
Width of prism(W) = 14 centimeters
B=1/2×12×5
=30
Now volume of prism = 30×14
=420 cubic units
Hence, the volume of the prism below is 420 cubic units.
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What is the inverse of f(x)=3x+6 ?
Answer:
[tex]\boxed{\sf \ \ f^{-1}(x)=\dfrac{x-6}{3} \ \ }[/tex]
Step-by-step explanation:
hello,
we can write
[tex]fof^{-1}(x)=x \ and \ fof^{-1}(x)=f(f^{-1}(x))=3f^{-1}(x)+6 \ so\\3f^{-1}(x)+6=x \ \ subtract \ 6\\<=>3f^{-1}(x)=x-6 \ \ divide \ \ by \ \ 3\\<=> f^{-1}(x)=\dfrac{x-6}{3}[/tex]
hope this helps
Find the amount of money in the account after 6 years at 4% APR compounded monthly if $18000 were inititally deposited
Answer:
22,873.35
Step-by-step explanation:
A=p+I where P(principal) = 18,000
I(interest) = 4,873.35
Answer:
A = 22,775
Step-by-step explanation:
A = amount after 6 years
P = 18,000
r = 4% (in decimal = 0.04)
t = 6 years
A = 18,000 ( 1 + 0.04)^6
A = 22,775
Which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis and translated 1 unit to the right? f(x) = –|x| + 1 f(x) = –|x – 1| f(x) = |–x| + 1 f(x) = |–x – 1|
Answer:
Hello There. ♡ The correct answer is: f(x) = -|x-1|
The parent function is f(x) = |x|
Then the function is reflected over the x-axis, so the f(x) will become -f(x)'. The function will become:
f(x) = -|x|
-f(x)' = |x|
f(x)' = -|x|
After that, the function is translated 1 unit to the right. That mean x will become x'-1. The function will become:
f(x) = -|x|
f(x) = -|(x'-1)|
f(x) = -|x'-1|
Hope It Helps! :)
ItsNobody~ ♡
Answer:
its b on edge 2020
Step-by-step explanation:
A race car is traveling at a constant speed of 150 miles per hour how many feet does it travel in 5 seconds
Answer:
50
Step-by-step explanation:
The requried, race car will travel approximately 1100 feet in 5 seconds at a constant speed of 150 miles per hour.
To find out how many feet a race car traveling at a constant speed of 150 miles per hour travels in 5 seconds, we need to convert the given speed from miles per hour to feet per second.
There are 5280 feet in a mile, and there are 3600 seconds in an hour.
First, let's convert 150 miles per hour to feet per second:
= 150 miles/hour * 5280 feet/mile / 3600 seconds/hour
= 220 feet/second (approximately)
Now, we can calculate the distance traveled by the race car in 5 seconds:
Distance = Speed * Time
Distance = 220 feet/second * 5 seconds
Distance = 1100 feet
Therefore, the race car will travel approximately 1100 feet in 5 seconds at a constant speed of 150 miles per hour.
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A geometric series has the third term 36 , and sixth term 972 . Find the first term of the series
Answer:
the first term is 4
Step-by-step explanation:
Given
G(3) = 36
G(6) = 972
Solution:
General formula for geometric series
G(x) = AB^x
From given data: G(6)/G(3) = 972/36 = 27
From formula: G(6)/G(3) = AB^6/(AB^3) = B^3
Therefore
B^3 = 27
B=3
Hence
G(1) = AB^1 = AB^3/B^2=36/3^2=36/9=4
Ans: the first term is 4
Answer:
a₁ = 4
Step-by-step explanation:
The n th term of a geometric series is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Given a₃ = 36 and a₆ = 972 , then
ar² = 36 → (1)
a[tex]r^{5}[/tex] = 972 → (2)
Divide (2) by (1)
[tex]\frac{ar^{5} }{ar^{2} }[/tex] = [tex]\frac{972}{36}[/tex] , that is
r³ = 27 ( take the cube root of both sides )
r = [tex]\sqrt[3]{27}[/tex] = 3
Substitute r = 3 into (1)
9a = 36 ( divide both sides by 9 )
a = 4
The first term is 4
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
The product of 6 and a number.
The product of 6 and a number.
Find the common ratio of the geometric sequence 4,3,9over4
Answer:
0.75
Step-by-step explanation:
Given a geometric sequence: [tex]a_1,a_2,a_3...,a_n[/tex]
The common ratio is derived by dividing any next term by the preceeding term.
That is:
[tex]r=\dfrac{a_2}{a_1} =\dfrac{a_3}{a_2}=\cdots =\dfrac{a_n}{a_{n-1}}[/tex]
In the geometric sequence: 4,3,9/4
Common ratio, [tex]r=\dfrac{3}{4} =\dfrac{9/4}{3}=0.75[/tex]
The common ratio of the given geometric sequence is 0.75.
Dr. Young is a coastal plant ecologist studying symbiotic root nodule-forming bacteria that must be present in soils on the Eastern Shore of Virginia in order for woody plants to grow. Dr. Young is studying how these bacteria are dispersed over a coastal barrier island and hypothesizes that bird droppings may transport the bacteria to young soils either locally or long-distance.
To test this hypothesis, you germinate two hundred sterile shrub seedlings, each of which you then assign to one of the following treatments to test for nodule development (successful bacterial infection):
Treatments were as follows:
PR: Positive Reference; crushed nodules
NR: Negative Reference; distilled water
BI: Barrier Island field-collected bird dropping suspension
ML: Mainland-collected bird dropping suspension
For this experiment, the null and alternative hypothesis are:
A: Nodulation is independent of seedling treatment
B: Nodulation is related to (not independent of) seedling treatment
C: Nodulation is correlated to bird dropping exposure.
D: There is no difference between exposure to mainland or island bird droppings
Answer:
Option A
Step-by-step explanation:
The null hypothesis would be that: Nodulation is independent of seedling treatment which includes all treatment (PR, NR, BI and ML)
While the alternative smoothies would be that there is a relationship/an association between Nodulation and all the treatments.
A parachutist's rate during a free fall reaches 132 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Answer:
see explanation
Step-by-step explanation:
132 feet / 3.3 feet per meter = 40 meters per second
15 seconds: 40 * 15 = 600 meters
A local arena is negotiating a contract with a tourist ice skating show, icey blades. Icey blades charge a flat fee for $60000 per night plus 40 percent of the gate receipts. The civic arena plans to charge one price of all seats $1.250 per ticket. A) Determine the number of tickets which must be sold each night in order to break even? B) what would nightly profit equal if average attendance in 7500 per night?
Answer:
To break even the local arena must sell approximately 70,589 tickets. They would have a loss of $47625.
Step-by-step explanation:
The cost per night of the Icey blades contract can be expressed as a function of the gate receipts, with the flat cost added by 40% of all the gate receipts sold. This expression is shown below:
[tex]cost(x) = 60000 +0.4*x[/tex]
Since each ticket costs $1.25, then the revenue of the arena can be shown as:
[tex]revenue(x) = 1.25*x[/tex]
In order to break even the revenue must be equal to the cost, so:
[tex]revenue(x) = cost(x)\\1.25*x = 60000 + 0.4*x\\1.25*x - 0.4*x = 60000\\0.85*x = 60000\\x = \frac{60000}{0.85} = 70,588.24[/tex]
To break even the local arena must sell approximately 70,589 tickets.
If the average attendance was 7500 per night, the profit would be:
[tex]profit = revenue(7500) - cost(7500)\\profit = 1.25*7500 - 60000 + 0.4*7500\\profit = 9375 - 60000 + 3000\\profit = -47625[/tex]
They would have a loss of $47625
Apples were selling for $.26 a pound Jessica spent $3.77 on apples how many pounds of apples did Jessica buy
Answer:
14.5 pounds of apples.
Step-by-step explanation:
$3.77 ÷ $.26 = 14.5
Apples = 14.5 pounds
Hope this helps! :)
How can you justify that the diagonals of a rhombus bisect opposite interior angles? A. Show that the diagonals form two congruent triangles using the definition of a rhombus and geometric properties. Then, use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite interior angles are bisected. B. Show that the interior angles of each triangle created by the diagonals must add to 180°. C. Show that the exterior angles of the rhombus must sum to 360°. D. Show that the vertical angles created by the diagonals are congruent. Then, show that the opposite interior angles are supplementary to these angles.
Answer:
A. Show that the diagonals form two congruent triangles using the definition of a rhombus and geometric properties. Then, use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite interior angles are bisected.
Step-by-step explanation:
Answer choice A is the only one that applies specifically to a rhombus.
The other answer choices are true of triangles and vertical angles in general. They do not relate specifically to the problem at hand.
In triangle ABC, the length of side AB is 18 inches and the length of side BC is 26 inches. Which of the following could be the length of side AC? A. 46 inches B. 49 inches C. 6 inches D. 32 inches
Answer:
D
Step-by-step explanation:
The Triangle Inequality states that the sum of the two largest side lengths of a triangle must be greater than the length of the largest side. Let's check these answers.
A: Since 18 + 26 > 46 is a false statement, A is not the answer.
B: Since 18 + 26 > 49 is false, B is not the answer.
C: Since 18 + 6 > 26 is false, C is not the answer.
D: Since 18 + 26 > 32 is false, D is the answer.
Answer:
since ab=18 and bc= 26 and if u draw out the shape and write them down u would mostly get d but I not too sure is d that the best I can do
Step-by-step explanation:
Suppose that 2 ≤ f ' ( x ) ≤ 3 for all values of x . What are the minimum and maximum possible values of f ( 7 ) − f ( 2 ) ? ≤ f ( 7 ) − f ( 2 ) ≤
Answer:
10 ≤ f ( 7 ) − f ( 2 ) ≤ 15
Step-by-step explanation:
Integrating the given inequalities along the interval from x = 2 to x = 7 yields the minimum and maximum possible values:
[tex]2 \leq f ' ( x )\leq 3\\\int\limits^7_2 {2} \, dx \leq \int\limits^7_2 {f'(x)} \, dx \leq\int\limits^7_2 {3} \, dx \\\\2*7-(2*2)\leq f(7)-f(2)\leq 3*7-(3*2)\\10\leq f(7)-f(2)\leq 15[/tex]
The minimum possible value is 10 and the maximum possible value is 15.
Hey Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3*(3*8)
A. (3*3)*8+8
B. 3*(3*8)+5
C. 5+3*(24)
D. 3*(8*3)+5
The commutative property of addition tells that there is no effect of orders of addends on the result. The associative property of multiplication tells that there can be any grouping of factors, without changing the result.
The expression which uses the commutative property of addition and the associative property of multiplication to rewrite the given expression is:
(3*3)*8 + 5
What is commutative property of addition?The order in which addends(quantities that are added) are written doesn't matter and the result will be same.
[tex]a + b = b + a[/tex]
What is associative property of multiplication?The associative property of multiplication tells that there can be any grouping of factors(any association), without changing the result.
[tex]a\times (b \times c ) = (a \times b) \times c[/tex]
For given expression 5 + 3*(3*8), using the commutative property of addition, we have:
[tex]5 + 3 \times (3 \times 8) = 3 \times (3 \times 8) + 5[/tex]
For the resultant expression [tex]3 \times (3 \times 8) + 5[/tex], using the associative property of multiplication:
[tex]3 \times (3 \times 8) + 5 = (3 \times 3) \times 8 + 5[/tex]
Thus, the expression which uses the commutative property of addition and the associative property of multiplication to rewrite the given expression is:
(3*3)*8 + 5
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How long will it take $4000 to grow into $5089.12 if it’s invested at 3.5% compounded annually?
Answer: 7 years
Step-by-step explanation:
From the formula A = P(1+(r/100))^t we have
5089.12 = 4000 (1+(3.5/100))^t
=> 1.27228 = (1.035)^t
Using calculator we find that 1.035^7 gives 1.272279
Hence in 7 years $4000 will grow to $5089.12 if it’s invested at 3.5%
helppppppppppppppppppppppppppppppppppppp
━━━━━━━☆☆━━━━━━━
▹ Answer
0.4 = 2.5, circle with 4 pieces shaded, and the rectangle with 40 squares shaded.
0.75 = Rectangle with 3 squares shaded and 75/100
0.9 = 90/100
▹ Step-by-Step Explanation
You can change the fractions into decimals, and count the shaded parts to determine the answer.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
.4= 2/5, the one with 10 equal parts that has 4 shaded, the one with 4/10 shaded
.75= 75/100,
.9= 90/100, the one with 2/3 shaded
Step-by-step explanation:
u have to reduce it to find ur answer
hope this helps
sorry if it was late
can someone pleaseeee yelp me with this!!!??
Step-by-step explanation:
360° =129°+71°+90° + x°
360-290 = x
70° = x
Find the indefinite integral by using the substitution x = 4 sec(θ). (Use C for the constant of integration.) x2 − 16 x d
Answer:
[tex]\frac{x^2-16}{2} + 16ln\frac{4}{x} +16C[/tex]
Step-by-step explanation:
Given the indefinite integral [tex]\int\limits{\frac{x^2-16}{x} } \, dx[/tex], using the substitute
x = 4 sec(θ)...1
The integral can be calculated as thus;
First let us diffrentiate the substitute function with respect to θ
dx/dθ = 4secθtanθ
dx = 4secθtanθdθ... 2
Substituting equation 1 and 2 into the integral function we will have;
[tex]\int\limits{\frac{(4sec \theta)^2-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{16sec^2 \theta-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{(16(sec^2 \theta-1)}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\from \ trig \ identity,\ sec^2 \theta - 1 = tan^\theta\\\\\int\limits{\frac{16 tan^2 \theta}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\\int\limits 16 tan^3 \theta d \theta\\\\[/tex]
Find the remaining solution in the attachment.
Given that Samuel is collecting data on the number of meals that students eat in a week, what type of data is he working with?
Answer:
discrete quantitative
Step-by-step explanation:
The number of meals that students eat is a numeric variable, which makes it a quantitative variable. However, it can only be measured in integers (assuming that there is no such thing as half a meal), which makes the data he is working with a discrete quantitative variable.
what is 4 to the square root of 2
Answer:
7.10299
Step-by-step explanation:
[tex]4^{\sqrt{2} }[/tex] is best evaluated in a calc.
A labourer is paid Rs per hr for an
8- hr day and1/2 times the rate for
each hour in excess of 8 hrs in a
sigle day the received
Rs.80 for a single days work, how
long did he work on that day?
Complete question is;
A labourer is paid rs. 8 per hour for an 8 hour day and ½ times that rate for each hour in excess of 8 hours in a single day. if the labourer received rs. 80 for a single day's work, how long did he work on that day?
Answer:
Total working time for the day = 12 hours
Step-by-step explanation:
Money paid to the labourer for initial 8 hrs of work = 8 × 8 = rs. 64.
Now, we are told that he receives rs. 80 in total for that day. And that he receives ½ times the initial rate for each extra hour after the initial 8 hour period.
Thus;
½ × 8 × y = (80 - 64)
Where y is the duration of extra hours.
So;
4y = 16
y = 16/4 hours
y = 4 hours
Now, since extra hours = 4 hours and normal working hours = 8 hours.
Then, total working time for that day = 8 + 4 = 12 hours
Jamal is comparing his transportation options for an upcoming trip. He’s considering a rental car and a taxi service. Based on his planned routes during his trip, he expects a taxi service would cost about $128. Jamal could also get a rental car for a daily rate and unlimited miles. If Jamal’s trip will last 4 days and he expects to pay about $24 for gas, which graph shows the range of car rental rates that would be cheaper than the taxi service?
Answer:
Graph A
Step-by-step explanation:
Say that the car rental rate stands for c dollars ( $ ). We know that Jamal's trip lasts for 4 days, paying $ 24 in expenses for gas, and $ 128 for taxi services. Based on these requirements for his trip the question asks for a graph that models this situation, but lets start with the inequality.
______
The big key here is the part " which graph shows the range of car rental rates that would be cheaper than the taxi service. " Our inequality must thus have the variable " c " on the same side as the payment for gas ($ 24 ), and must be less than the taxi service ( $ 128 ), or in other words a less than sign. Another point is the car rental rate. We know it stands for c, but it is dependent on the number of days. Hence we can conclude the following inequality,
24 + 4c < 128 - Subtract 24 from either side,
4c < 104 - Divide by 4 on either side, isolating c,
c < 26
The range of car rental rates that would be cheaper than the taxi service should be { c | 0 ≤ c < 26 }, knowing variable c stands for the car rental rates.
______
The graph that models this range should be the first one, option A. This graph is not accurate however, as it extends infinitely in the negative direction, and you can't have negative money, or rather be in debt - in this situation.
Answer:
A is the answer
Step-by-step explanation:
if 1/u=1/f-1/v is the formula Express f as the subject of the formula
Answer:
[tex]f = \frac{1}{\frac{1}{u}+\frac{1}{v} }[/tex]
Step-by-step explanation:
[tex]1/u=1/f-1/v\\\frac{1}{f} = \frac{1}{v} +\frac{1}{u} \\Divide- both- sides- by; 1\\\frac{1}{f} \div \frac{1}{1} = (\frac{1}{v} + \frac{1}{u}) \div \frac{1}{1}\\\\f = \frac{1}{\frac{1}{u}+ \frac{1}{v} }[/tex]
Answer:
f = uv/(v+u)
Step-by-step explanation:
1/u = 1/f - 1/v
1/u + 1/v = 1/f
(v+u) ÷ uv = 1 ÷ f
multiply both sides by uvf
f(v+u) = uv
f = uv / (v+u)