Clare has 3 apples then her friend gave her. 80 1890 how much apple does she have
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Answer:
I think it might be 80,1893
Related Questions
5. Problem 5.15 (Present Value of an Annuity) Find the present values of these ordinary annuities. Discounting occurs once a year. Do not round intermediate calculations. Round your answers to the nearest cent. a. $400 per year for 14 years at 14%. $ b. $200 per year for 7 years at 7%. $ c. $400 per year for 7 years at 0%. $ d. Rework previous parts assuming they are annuities due. Present value of $400 per year for 14 years at 14%:$ Present value of $200 per year for 7 years at 7% : $ Present value of $400 per year for 7 years at 0% : $
Answers
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
Present value of $400 per year for 7 years at 0% (annuity due): $2,800
To find the present values of the ordinary annuities, we can use the formula for the present value of an annuity:
PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value
PMT = Payment per period
r = Interest rate per period
n = Number of periods
a. $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14]
≈ $2,702.83
b. $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07]
≈ $1,155.54
c. $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value is simply the total amount of payments over the 7 years:
PV = $400 * 7
= $2,800
d. Reworking previous parts assuming they are annuities due:
For annuities due, we need to adjust the formula by multiplying it by (1 + r):
a. Present value of $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14] * (1 + 0.14)
≈ $2,943.07
b. Present value of $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07] * (1 + 0.07)
≈ $1,233.24
c. Present value of $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value remains the same:
PV = $400 * 7
= $2,800
In conclusion:
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
Present value of $400 per year for 7 years at 0% (annuity due): $2,800
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Mr. Thompson bought a 5-gallon can of paint. After painting his room, 2/5 of the paint was left. How many gallons of paint did he use?
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answers
–3(2x – 5) < 5(2 – x)
–6x + 15 < 10 – 5x
–6x + 5x < 10 – 15
–x < –5
x > 5
The correct representations of the inequality are:
- x > 5
- –6x + 15 < 10 – x
Option A, -6x - 5 < 10 - x, is not correct because it does not correctly simplify the inequality.
Option B, -6x + 15 < 10 - 5x, is correct as it simplifies to -x < -5 after combining like terms.
Option C is not correct because it is the same as option A.
Option D is not correct because it represents the opposite inequality, x < 5 instead of x > 5.
The correct number line representation is the first option: a number line from negative 3 to infinity, with an open circle at 5 and a bold line pointing to the right.
evaluate ∫ c ( x 2 y 2 ) d s , c is the top half of the circle with radius 5 centered at (0,0) and is traversed in the clockwise direction.
Answers
The value of the line integral is approximately 2446.94.
To evaluate the line integral:
∫c (x^2y^2) ds
where c is the top half of the circle with radius 5 centered at (0,0) and is traversed in the clockwise direction, we can use the parameterization:
x = 5 cos(t)
y = 5 sin(t)
where t goes from pi to 2pi. This parameterization traces out the top half of the circle in the clockwise direction.
We can then express ds in terms of dt:
ds = sqrt[(dx/dt)^2 + (dy/dt)^2] dt
= 5 dt
Substituting the parameterization and ds into the integral, we get:
∫c (x^2y^2) ds = ∫pi^2pi (25cos^2(t) * 25sin^2(t)) (5 dt)
Simplifying, we get:
∫c (x^2y^2) ds = 3125 ∫pi^2pi (cos^2(t)sin^2(t)) dt
Using the identity cos^2(t)sin^2(t) = (1/4)sin^2(2t), we can further simplify:
∫c (x^2y^2) ds = (3125/4) ∫pi^2pi (sin^2(2t)) dt
Using the formula ∫sin^2(u) du = u/2 - (1/4)sin(2u), we can evaluate the integral:
∫c (x^2y^2) ds = (3125/4) [(2t)/2 - (1/4)sin(4t)]_pi^2pi
= (3125/4) [2pi - pi/4 - (2pi - pi/4)]
= (3125/4) (pi/2)
= 2446.94 (rounded to two decimal places)
Therefore, the value of the line integral is approximately 2446.94.
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If f(x)=2x−2 and g(x)=x2−8x+19, then f(x)=g(x) for what values of x?
x=−1 and x=−4
x=−3 and x=−7
x=1 and x=4
x=3 and x=7
Answers
Answer:
D) x =3 and x =7
Step-by-step explanation:
Step(i):-
Given function f(x) = 2x -2
g(x) = x² - 8x +19
Given that f(x) = g(x)
⇒ 2x -2 = x² - 8x +19
⇒ x² - 8x +19 -2x +2 =0
⇒ x² -10x +21 =0
Step(ii):-
The factors are x² -10x +21 =0
⇒ x² - 7x - 3x +21 =0
⇒ x( x-7) -3( x-7) =0
⇒ (x-3)(x-7) =0
x =3 and x =7
Answer:
d: x=3 and x=7
Step-by-step explanation:
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
(-8,0)
-10
10+
-10+
Answer here
(7,3)
10
SUBMIT
Answers
The slope of the line above include the following: 1/5.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope (m) = (3 - 0)/(7 + 8)
Slope (m) = (3)/(15)
Slope (m) = 1/5.
Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to 1/5.
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I need to be able to show work
i.
ii.
iii.
are the steps i’m supposed to used but I don’t know the answer
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The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.
We have,
To prove the equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 using mathematical induction,
We will follow the three steps of mathematical induction:
The base case, the induction hypothesis, and the inductive step.
Step 1: Base case
Let's start by checking if the equation holds true for the base case, which is n = 1.
When n = 1, the left-hand side (LHS) is 1² = 1, and the right-hand side (RHS) is 1(1 + 1)(2(1) + 1) / 6 = 1.
Since LHS = RHS for the base case, the equation holds true.
Step 2: Induction hypothesis
Assume the equation holds true for some positive integer k, where k ≥ 1. This is our induction hypothesis:
1 + 4 + 9 + ... + k² = k(k + 1)(2k + 1) / 6
Step 3: Inductive step
We need to prove that if the equation holds true for k, it also holds true for k + 1.
Starting with the left-hand side of the equation, we add (k + 1)² to both sides:
1 + 4 + 9 + ... + k² + (k + 1)² = k(k + 1)(2k + 1) / 6 + (k + 1)²
Simplifying the right-hand side:
= [k(k + 1)(2k + 1) + 6(k + 1)²] / 6
= [(2k³ + 3k² + k) + (6k² + 12k + 6)] / 6
= (2k³ + 9k² + 13k + 6) / 6
= [(k + 1)(k + 2)(2k + 3)] / 6
We can see that the right-hand side is now in the form
(k + 1)((k + 1) + 1)(2(k + 1) + 1) / 6, which matches the equation for k + 1.
Since the equation holds true for k implies it holds true for k + 1, and the base case is true, we have proven the equation using mathematical induction.
Therefore,
The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.
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help its fro a test and I been doing it all day For
graph equation or inequality.
2y – 4x < 8
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The graph of the equation or inequality 2y – 4x < 8 is given the in the attachment.
What is inequality?The term inequality refers to a mathematical expression with unequal sides. An inequality compares two values and determines whether one is less, greater, or equal to the value on the other side of the equation. In general, inequality equations are represented by five inequality symbols.
The inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and not equal (≠).
Inequalities are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable.
Given that:
2y – 4x < 8
2y < 4x +8
y < 2x + 4
Plot this on graph.
Thus, y < 2x + 4 is inequality to be plotted on the graph.
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henry scored 85, 76, 84, and 69 on four exams. what must he make on the fifth exam to have an average of 80?
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Henry must have to score 86 marks in the fifth exam to make an average of 80 marks.
What is the average?
This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.
Henry scored 85, 76, 84, and 69, and let's suppose he scored 'x' marks in the fifth exam.
Average = sum of all marks/total number of exams
80 =(85 + 76 + 84 + 69 + x)/5
80 = 314 + x/5
80 * 5 = 314 + x
400 = 314 + x
x = 400 - 314
x = 86
Hence, Henry must have to score 86 marks in the fifth exam to make an average of 80 marks.
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4 If angle A = x + 5, angle B = 2x – 35, and angle C = 3x,
what is the value of x
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Answer the question about the following polynomial .Options first part; Quintic, quadratic, cubic, linear, quartic
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The given expression represents a polydomial of degree 4, the leading term is the one that has the variable with the greater exponent, the leading coefficient is the coefficient of the leading term, and the constant is the term without variable.
The expression represents a quartic polynomial with 2 terms. The constant term is 1, the leading term is 1/3 x^4, and the leading coefficient is 1/3estimate the displacement of the particle on the interal 2
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Displacement is defined as the difference between the initial position of the particle at the start of the interval and its final position at the end of the interval.
In order to answer the given question, "Estimate the displacement of the particle on the interval [2,5] given the graph of f," we would need to see the graph of f in question. Without this information, we cannot provide a specific answer to the question.
However, in general, to estimate the displacement of a particle over a given interval, you would need to find the difference between the initial position of the particle at the start of the interval and its final position at the end of the interval. This is known as the particle's displacement.
To calculate the displacement of the particle, you would need to know its position at the beginning and end of the given interval. Depending on the situation, this could involve calculating the area under a curve, finding the slope of a line, or using other mathematical methods to determine the particle's position at various points in time.
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The Wagner Corporation has a $22 million bond obligation outstanding, which it is considering refunding. Though the bonds were initially issued at 12 percent, the interest rates on similar issues have declined to 10 percent. The bonds were originally issued for 20 years and have 16 years remaining. The new issue would be for 16 years. There is a 7 percent call premium on the old issue. The underwriting cost on the new $22 million issue is $680,000, and the underwriting cost on the old issue was $530,000. The company is in a 40 percent tax bracket, and it will allow an overlap period of one month ( 1/12 of the year). Treasury bills currently yield 5 percent. (Do not round intermediate calculations. Enter the answers in whole dollars, not in millions. Round the final answers to nearest whole dollar.) a. Calculate the present value of total outflows. Total outflows b. Calculate the present value of total inflows. Total inflows $ c. Calculate the net present value. Net present value $ d. Should the old issue be refunded with new debt? Yes No
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The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes
To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.
Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.
Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax. Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.
Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows. If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.
Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,
CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080. NPV ≈ $824,179. Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.
Therefore, the answers are:
a. Total outflows: $2,007,901
b. Total inflows: $827,080
c. Net present value: $824,179
d. Should the old issue be refunded with new debt? Yes
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Is this right? Please help me.
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since 64 is a perfect cube the length of each edge of the block can be found. each edge is 4 centimeters long
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If 64 is a perfect cube the length of each edge of the block can be found. The edge length of a cube is: 4cm.
Edge length of a cubeGiven:
Volume of cube=64cm³
Hence:
Volume of the cube = a³
Volume of the cube, a³= 64 cm³
Using this formula
Cube edge length =∛(side)³
Let plug in the formula
Cube edge length =∛(64cm³)
Cube edge length=4cm
Therefore if 64 is a perfect cube the length of each edge of the block can be found. The edge length of a cube is: 4cm.
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1/4=\(2^{x}\) find x
Answers
Answer:
x = 1/8
Step-by-step explanation:
divide the two from both both sides
1/4 = 2x
(1/4)/2 = x/2
1/8 = x
Answer: x = -2
Step-by-step explanation:
X is -2 because whenever you get a negative exponent you gotta make it into a fraction which is \(\frac{1}{4}\) because I ignored the negative sign for a second and did it normally so 2 to the power of 2 is 4 put it as a fraction 1 over 4.
Normally it doesn’t happen to every problem you get. Most of the time you gotta divide the numerator by the denominator which will give you .25 in this case scenario, .25 converted to a fraction would be 1/4.
- Your Welcome.
Mark bought a new car. The total amount he needs to borrow is $28,716. He plans on taking out a 4-year loan at an APR of 3.12%. What is the monthly payment?
Answers
The monthly payment with given simple interest will be $673.
What is simple interest?
Simple Interest is an easy method of calculating the interest for a loan/principal amount. Simple interest is a concept that is used in many sectors such as banking, finance, automobile, and so on. When you make a payment for a loan, first it goes to the monthly interest and the remaining goes towards the principal amount.
Simple interest formula is given as:
SI=P*R*T/100
Where SI = simple interest
P = principal
R = interest rate (in percentage)
T = time duration (in years)
In order to calculate the total amount, the following formula is used:
Amount (A) = Principal (P) + Simple Interest (SI)
Now,
Amount to Borrow=$28716
Rate=3.12%
Time=4 years
SI=28716*3.12*4/100
=$3584
Total amount to pay=28716+3584
=$32300
Hence,
monthly payment for 4 years =32300/48
monthly payment=$673
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To find the linear acceleration a of the point at the end of the rod, use the Pythagorean theorem and take the square root of the sum of the point's tangential ...
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To find the linear acceleration (a) of the point at the end of the rod, you can use the Pythagorean theorem by taking the square root of the sum of the point's tangential acceleration squared and radial acceleration squared.
The linear acceleration (a) of a point at the end of a rod can be decomposed into two components: tangential acceleration and radial acceleration.
Tangential acceleration is the component of acceleration along the tangent to the circular path. It represents how the magnitude of velocity is changing.
Radial acceleration, also known as centripetal acceleration, is the component of acceleration directed towards the center of the circular path. It represents the change in direction of velocity.
According to the Pythagorean theorem, the magnitude of the total acceleration (linear acceleration) can be found by taking the square root of the sum of the squares of tangential acceleration (at) and radial acceleration (ar):
a = √(at^2 + ar^2)
By calculating the tangential and radial accelerations, and then squaring them, you can find their respective magnitudes.
Finally, sum up the squared magnitudes of tangential and radial accelerations, and take the square root to find the linear acceleration (a) of the point at the end of the rod.
This approach allows you to consider both the change in magnitude and direction of velocity, providing a comprehensive understanding of the point's overall acceleration.
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What is the number sentence for "4 and N together make9"?
Answers
Given:
The number sentence for 4 and n
Required:
We have to find the given sentence
Explanation:
4 and N, simply means you mixed them up, you sum them up
your result is 9, 4+N=9
Required solution :
4+N=9
What is the formula for a linear function?
Answers
Answer:
⭐ There are 3 ways you can write a linear function (⭐ = most common):
⭐\(y = mx + b\) (slope-intercept form)⭐\(y-y_1 = m(x-x_1)\) (point-slope form)\(Ax + By = C\) (standard form)
21 A forklift has a maximum carrying capacity of 960 pounds. Each cargo box weighs 60 pounds.
a. Write and solve an inequality that represents the maximum number of cargo boxes the
forklift can carry.
b.
A 120-pound carrying case is used to hold the cargo boxes. What is the maximum number
of cargo boxes the forklift can carry when the carrying case is used? Show that your answer
is correct by showing that one more than your answer would exceed the forklift's capacity
Answers
Using the concept of inequality, it can be concluded that;
a) Maximum number of cargo boxes the forklift can carry is 16.
b) Maximum number of cargo boxes the forklift can carry when the carrying case is used is 14.
What is the inequality in mathematics?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to contrast two numbers on the number line based on their sizes.
Let the no. of cargo box be x.
So the equation is 60x≤960
x≤960/60
x≤16
Now the 120 pound additional weight is needed so the equation is:
120 + 60x≤960
60x≤840
x≤14
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What is the inverse fraction of f(x)=x/x-2
Answers
Answer:
\(inverse \ of \ f(x) : \frac{2x}{x-1}\)
Step-by-step explanation:
\(y = \frac{x}{x-2}\\\\swap\ x\ and \ y\\\\x = \frac{y}{y-2}\\\\x(y -2) = y\\\\xy - 2x = y\\\\xy - y = 2x\\\\y(x-1)= 2x\\\\y = \frac{2x}{(x-1)}\)
Step-by-step explanation:
Given two one-to-one functions f(x)f(x) and g(x)g(x) if
(f∘g)(x)=xAND(g∘f)(x)=x(f∘g)(x)=xAND(g∘f)(x)=x
then we say that f(x)f(x) and g(x)g(x) are inverses of each other. More specifically we will say that g(x)g(x) is the inverse of f(x)f(x) and
denote it by
g(x)=f−1(x)g(x)=f−1(x)
Likewise, we could also say that f(x)f(x) is the inverse of g(x)g(x) and denote it by
f(x)=g−1(x)
Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).
First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.
Replace every xx with a yy and replace every yy with an xx.
Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so be careful with this step.
Replace yy with f−1(x)f−1(x). In other words, we’ve managed to find the inverse at this point!
Verify your work by checking that (f∘f−1)(x)=x(f∘f−1)(x)=x and (f−1∘f)(x)=x(f−1∘f)(x)=x are both true. This work can sometimes be messy making it easy to make mistakes so again be careful.
Explanation:
Setting y=f(x)
y=xx−2
this may be rearranged (intermediate steps shown) as follows
y(x−2)=x
x⋅y−2y=x
x⋅y−x=2y
x(y−1)=2y
x=2yy−1
This expression shows x in terms of y.
That is,
f−1(x)=2xx−1
Setting y=f(x)
y=xx−2
this may be rearranged (intermediate steps shown) as follows
y(x−2)=x
x⋅y−2y=x
x⋅y−x=2y
x(y−1)=2y
x=2yy−1
This expression shows x in terms of y.
That is, it is the inverse of function f(x).
That is,
f−1(x)=2xx−1
as required.
I need help pls!!! I have 4 minutes left to answer these
Answers
Answer:
its 3/5 so you just add the numerator to the numerator and add the denominator to the denominator.
Answer:
7/6 is the answer
Step-by-step explanation:
=(1/2+2/3)
taking L.C.M
= (3+4)/6
=7/6
Which of the following for-loop control headers result in equivalent numbers of iteration?
1) for (int q=1: q<=100; ++q)
2) for (int q=100;q=0; -9)
3) for (int q=99; q>0;q-=9)
4) for (int q=990; q>0; q-=90)
Select one:
a. 3) and 4)
b. 1) and 2) have equivalent iterations and 3) and 4) have equivalent iterations
c. none of the loops have equivalent iterations
d. 1) and 2)
Answers
Option (b) is correct. Both 1) and 2) have equivalent iterations, and 3) and 4) have equivalent iterations.
Option 1) for (int q=1; q<=100; ++q) iterates 100 times, starting from 1 and incrementing by 1 until q reaches 100.
Option 2) for (int q=100; q=0; -9) also iterates 100 times, starting from 100 and decrementing by 9 until q reaches 0.
Option 3) for (int q=99; q>0; q-=9) iterates 12 times, starting from 99 and decrementing by 9 until q becomes less than or equal to 0.
Option 4) for (int q=990; q>0; q-=90) also iterates 12 times, starting from 990 and decrementing by 90 until q becomes less than or equal to 0.
Comparing the number of iterations, we can see that both 1) and 2) have equivalent iterations with 100 iterations each. Similarly, 3) and 4) have equivalent iterations with 12 iterations each. Therefore, option (b) is correct, as both 1) and 2) have equivalent iterations, and 3) and 4) have equivalent iterations.
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Based on the linear inequality shown in the graph below, which of the following points are solutions to the linear inequality? Select all that apply. A.(7, -5) B.(-2, 6) C.(-3, 0) D.(-1, -8) E. (4, 1)
Answers
Answer:
It would be B and C
Step-by-step explanation:
If it's asking for the inequality its the points outside of the shaded area
it is estimated that chemotherapy is successful 70% of the time in curing a particular type of cancer. suppose that four patients with the given type of cancer are treated, and let x be the number of them that are successfully cured.
Answers
The expected value of the number of patients that will be cured is 2.78 which has been obtained by using probability.
It is feasible to determine the expected value of the number of patients who will be cured by multiplying each potential result by the appropriate probability and adding the results. The following probability and outcomes are:
0 patients cured: P(X=0) = 0.01
1 patient cured: P(X=1) = 0.08
2 patients cured: P(X=2) = 0.27
3 patients cured: P(X=3) = 0.40
4 patients cured: P(X=4) = 0.24
To calculate the expected value, we multiply each outcome by its probability and sum them up:
E(X) = (0 * 0.01) + (1 * 0.08) + (2 * 0.27) + (3 * 0.40) + (4 * 0.24)
Simplifying the calculation, we find:
E(X) = 0 + 0.08 + 0.54 + 1.20 + 0.96
E(X) = 2.78
Therefore, the expected value of the number of patients that will be cured is 2.78, rounded to two decimal places.
The expected value represents the average number of patients that would be cured if the treatment is repeated many times. In this case, based on the given probabilities, we can expect that, on average, approximately 2.78 patients out of four will be successfully cured with chemotherapy for this particular type of cancer.
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The complete question has been attached below.
what is the answer for 1 1/2 + ( - 1 / 2) ?
Answers
Answer:
5
Step-by-step explanation:
............................
Answer:
5 is the answer to your question
The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars. What is the significance of the number 82.75 in the equation?
Answers
Answer: The significance of the number 82.75 in the equation = amount charged per acre in the park.
Step-by-step explanation:
Given: The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars.
In linear equation y=mx+c, = rate of change of y with respect to x.
Here Coefficient of a = rate of change of C with respect to a.
i.e. Coefficient of a =amount charged per acre in the park.
Hence, The significance of the number 82.75 in the equation = amount charged per acre in the park.
please show your work.\(Simplify: −2x + (9x − 4)\)
![please show your work.[tex]Simplify: 2x + (9x 4)[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/eaplkv9zBkLTCLyKmqX4UHrYO7xB7PJ8.png)
Answers
Answer:
7x - 4
Step-by-step explanation:
-2x + (9x - 4)
-2x + 9x -4
9x - 2x = 7x
7x - 4
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A board game uses a spinner to determine the number of points a player will receive. Each section of the spinner is labeled with a whole number. The probability that a player receives an even number of points is 23. The probability that a player receives more than 10 points is 12. The probability that a player receives an even number of points and more than 10 points is 14. What is the probability that a player receives an even number of points or more than 10 points?
Answers
The probability that a player receives an even number of points or more than 10 points is 0.35 or 35%.
To find the probability that a player receives an even number of points or more than 10 points, we can use the principle of inclusion-exclusion.
Let's define:
A = Event of receiving an even number of points
B = Event of receiving more than 10 points
We are given the following probabilities:
P(A) = 23/100
P(B) = 12/100
P(A ∩ B) = 14/100
The formula for the probability of the union of two events is:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Substituting the given values:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
= 23/100 + 12/100 - 14/100
= 35/100
= 0.35
Therefore, the probability that a player receives an even number of points or more than 10 points is 0.35 or 35%.
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