Step-by-step explanation:
that is the answer up there couldn't write it down
What is the slope of a line perpendicular to the line whose equation is x + y = -6.
Fully simplify your answer.
Answer:
-1 or -1/1
Step-by-step explanation:
Looked it up, found an answer that said
"X+Y = 6
change into slope intercept form y=mx+b
y= -x +6
the number infront of X is the slope...so....-1/1 would be your slope
Parallel lines have the same slope, so the answer is -1 or -1/1"
Hope this is correct, and good luck
(01.03 MC)
What is the simplified expression for 3* •2°•3?? (1 point)
24
O 1) 3
2
2)
3)
2
14) 2
Answer:c
Step-by-step explanation:
divide 6x3 ÷3x how to do please tell me
Answer:
hey your answer would be 3x • (2x2 - 1)
please tell me if im wrong
Step-by-step explanation:
What is an equation of the line that passes through the points (-6,3) and
(-6, 6)?
Answer:
x = -6
Step-by-step explanation:
The points create a vertical line.
If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c. True False Question 4 (1 point). A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0. True False Question 5 (1 point) If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = C. True False
Question 3: True
Question 4: False
Question 5: True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.
This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.
True
When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.
Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.
False
A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.
Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.
True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
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The total cost to produce x boxes of cookies is C dollars, where C=0.0001x 3
−0.02x 2
+2x+400. In t weeks, production is estimated to be x=1300+100t (a) Find the marginal cost C ′
(x) C ′
(x)= (b) Use Leibniz's notation for the chain rule, dt
dC
= dx
dC
⋅ dt
dx
, to find the rate with respect to time t that the cost is changing. dt
dC
= (c) Use the results from part (b) to determine how fast costs are increasing (in dollars per week) when t=4 weeks. dollars per week 1 Points] OSCALC1 3.6.901.WA.TUT. Compute the derivative of (f∘g). f(u)=2u+1,g(x)=sin(8x).
(a) The marginal cost C'(x) is given by C'(x) = 0.0003x^2 - 0.04x + 2.
(b) Using Leibniz's notation for the chain rule, we have dt/dC = (dx/dC) * (dt/dx).
(c) Substituting the values, when t = 4 weeks, into the expression for dt/dC, we get dt/dC = 1 / C'(x) = 1 / (0.0003x^2 - 0.04x + 2).
To find the marginal cost, we differentiate the cost function C(x) with respect to x. Taking the derivative of C(x) = 0.0001x^3 - 0.02x^2 + 2x + 400, we get C'(x) = 0.0003x^2 - 0.04x + 2.
To find dt/dC, we need to find dx/dC first. Rearranging the equation x = 1300 + 100t, we get t = (x - 1300)/100. Taking the derivative of this equation with respect to C, we get dx/dC = (dx/dt) * (dt/dC) = (dx/dt) / (dC/dx) = 1 / (dC/dx).
Therefore, the rate at which the cost is changing with respect to time t is given by dt/dC. To determine how fast costs are increasing when t = 4 weeks, we substitute x = 1300 + 100t and t = 4 into the expression for dt/dC:
dt/dC = 1 / (0.0003(1300 + 100t)^2 - 0.04(1300 + 100t) + 2).
Simplifying this expression will give us the rate of increase in dollars per week. However, the given information is incomplete, as the values for x and t are not specified.
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the arizona department of transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. at least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.03 of the true proportion?
At least 99% confidence that the sample percentage is inside 0.03 of the absolute proportion is required for 1844 residents.
Choose p = 0.5 since the previous estimate of population percentage is uncertain.
E = 0.03 is the margin of error.
A 99% confidence interval requires the following crucial value: \(z_{a/2}\) = 2.576
The act of deciding how many observations or repetitions to incorporate into a statistical sample is known as sample size determination.
The sample size,
n = 0.5 × (1 - 0.5) × (\(z_{a/2}\) ÷ E)²
n = 0.25 × (2.576 ÷ 0.03)²
n = 1843.27 ≈ 1844
As a result, the needed sample size is 1844.
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Convert f(x)= 2/3(x+3)^2 to standard from
For a normal distribution, the probability of a value being between a positive z-value and its population mean is the same as that of a value being between a negative z-value and its population mean.
For a normal distribution, the probability of a value being between a positive z-value and its population mean is indeed the same as that of a value being between a negative z-value and its population mean.
This is due to the symmetric nature of the normal distribution curve, where probabilities are mirrored around the mean.
The normal distribution is characterized by its bell-shaped curve, which is symmetric around the mean. The mean is also the midpoint of the curve, and the curve approaches but never touches the horizontal axis. The standard deviation of the distribution controls the spread of the curve.
In a normal distribution, the probability of a value being between a positive z-value and its population mean is indeed the same as that of a value being between a negative z-value and its population mean.
This is due to the symmetric nature of the normal distribution curve, where probabilities are mirrored around the mean.
This means that if we have a normal distribution with a mean of μ and a standard deviation of σ, the probability of a value falling between μ+zσ and μ is the same as the probability of a value falling between μ-zσ and μ.
This property of the normal distribution makes it easy to compute probabilities for any range of values, by transforming them into standard units using the z-score formula.
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help me please please please
The area and circumference of a circle are 12.56square feet and 12.56ft respectively
Area and circumference of a circleThe formula for calculating the area and circumference of a circle is expressed as:
A = πr²
C = πd
where
r is the radius and d is the diameter
Area = 3.14 * (2)²
Area = 12.56ft²
For the circumference
C = 3.14(4)
C = 12.54ft
Hence the area and circumference of a circle are 12.56square feet and 12.56ft respectively
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factored form of 2x*2+13x+20
Answer:
(2x+5)(x+4)
Step-by-step explanation:
After factoring we can find that it equals
(2x+5)(x+4)
Answer:
(2x +5) (x+4)
Step-by-step explanation:
2x*2+13x+20
(2x + )(x+ )
Factoring 20 into 4 and 5 so we can get 13 in the middle
(2x +5) (x+4)
2*4 +5 = 13 for the middle term
What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. A normal curve with a peak at 0 is shown. The area under the curve shaded is 1 to 2. Z Probability 0. 00 0. 5000 1. 00 0. 8413 2. 00 0. 9772 3. 00 0. 9987 0. 14 0. 16 0. 86 0. 98.
The approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
It is given that the standard normal curve shows the shaded area in the curve.
It is required to find the approximate area of the unshaded region under the standard normal curve.
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
In the curve showing the shaded region area between:
\(\rm P(1 < Z < 2)\)
First, we calculate the shaded region area:
From the data given the value of Ф(1) = 0.8413.
P(Z<1) = 0.8413 and
P(Z<2) = 0.9772
The area of the shaded region:
= P(Z<2) - P(Z<1)
= 0.9772 - 0.8413
= 0.1359
The area of the unshaded region:
= 1 - The area of the shaded region ( because the curve is symmetric)
= 1 - 0.1359
= 0.8641 ≈ 0.86
Thus, the approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
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I just need to solve this: 5x^3=60x
If the midpoint of the line segment is AB has coordinates (3, -1) and A (-5,0) then:
B=
Factor each expression. x²-13 x+36 .
The expression x² - 13x + 36 can be factored as (x - 4)(x - 9).
To factor the expression x² - 13x + 36, we need to find two binomials whose product equals the original expression. The first term of each binomial will be x since the coefficient of x² is 1.
Next, we need to find two numbers whose sum is -13 (the coefficient of x) and whose product is 36 (the constant term). The numbers that satisfy these conditions are -4 and -9.
Therefore, we can write the expression as (x - 4)(x - 9). When we multiply these two binomials, we get x² - 13x + 36, which is the original expression.
In summary, the factored form of x² - 13x + 36 is (x - 4)(x - 9).
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find the length of the missing sides in the triangle. use 45 -45 -90 triangle theorem. write your answers as integers, in radical form, or as decimals rounded to the nearest tenth. The diagram is not drawn to scale
Answer:
\(y = 7\)
\(x = 7 \sqrt{2} \)
Answer:
The first image is the answer and the second image is the explanation.
Step-by-step explanation:
Dean runs 7.02 kilometers every morning. One day, he runs 6 kilometers and then stops to
take a break. How much further does Dean have left to run?
Answer: 1.02 kilometers.
Step-by-step explanation: You have to do what he normally runs (7.02) subtracted by what he did run (6) which gives you the answer; 1.02.
Answer: 1.06 kilometers
Step-by-step explanation: 7.06 - 6 kilometers
Formulate and solve the following linear program: You are trying to create a budget to optimize the use of a portion of your disposable income. You have a maximum of $1,500 per month to be allocated to food, shelter, and entertainment. The amount spent on food and shelter combined must not exceed $1,100. The amount spent on shelter alone must not exceed $800. Entertainment cannot exceed $400 per month. Each dollar spent on food has a satisfaction value of 2, each dollar spent on shelter has a satisfaction value of 3, and each dollar spent on entertainment has a satisfaction value of 5. 1. Write the Objective Function and Constraints for this problem. 2. Assuming a linear relationship, use the Excel Solver to determine the optimal allocation of your funds. 3. Report the maximum value of the Objective function.
1. Objective Function and Constraints:
Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.
2. Using Excel Solver, find the optimal allocation of funds.
3. The maximum value of the objective function is reported by Excel Solver.
We have,
Objective Function and Constraints:
Let:
x1 = amount spent on food
x2 = amount spent on shelter
x3 = amount spent on entertainment
Objective Function:
Maximize: 2x1 + 3x2 + 5x3 (since each dollar spent on food has a satisfaction value of 2, each dollar spent on shelter has a satisfaction value of 3, and each dollar spent on entertainment has a satisfaction value of 5)
Constraints:
Subject to:
x1 + x2 + x3 ≤ $1,500 (maximum disposable income)
x1 + x2 ≤ $1,100 (amount spent on food and shelter combined must not exceed $1,100)
x2 ≤ $800 (amount spent on shelter alone must not exceed $800)
x3 ≤ $400 (entertainment cannot exceed $400)
Using Excel Solver:
In Excel, set up a spreadsheet with the following columns:
Column A: Variable names (x1, x2, x3)
Column B: Objective function coefficients (2, 3, 5)
Column C: Constraints coefficients (1, 1, 1) for the first constraint (maximum disposable income)
Column D: Constraints coefficients (1, 1, 0) for the second constraint (amount spent on food and shelter combined)
Column E: Constraints coefficients (0, 1, 0) for the third constraint (amount spent on shelter alone)
Column F: Constraints coefficients (0, 0, 1) for the fourth constraint (entertainment limit)
Column G: Right-hand side values ($1,500, $1,100, $800, $400)
Apply the Excel Solver tool with the objective function and constraints to find the optimal allocation of funds.
Once the Excel Solver completes, it will report the maximum value of the objective function, which represents the optimal satisfaction value achieved within the given budget constraints.
Thus,
Objective Function and Constraints: Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.
Using Excel Solver, find the optimal allocation of funds.
The maximum value of the objective function is reported by Excel Solver.
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explain clearly why we cannot have the combination of a yes to practical significance, and a no to statistical significance.
It is not possible for a study to have practical significance without statistical significance because statistical significance provides evidence that the observed effect is unlikely to have occurred by chance.
The Practical significance and statistical significance are two different concepts that are often used in hypothesis testing.
The Statistical significance refers to the probability that the observed results of a study occurred by chance, given a particular level of significance or alpha.
The Practical significance refers to whether the observed effect size is large enough to be meaningful in a real-world context.
It is possible for a study to have statistical significance without practical significance. For example, a study may find a statistically significant difference between two groups, but the difference may be so small that it is not meaningful in practice.
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If Marie makes an investment of $8,000 that earns 2% simple interest annually how much is the total investment what after 3.5 years ?
Answer:
$560
Step-by-step explanation:
2% of 8000 = 160,
160 * 3.5 = 560
A project has an initial cost of $30 million.The project is expected to generate a cash flow of $2.85 million at the end of the first year.All the subsequent cash flows will grow at a constant growth rate of 3.85% forever in future.If the appropriate discount rate of the project is 11%,what is the profitability index of the project? a.1.917 b.1.328 c.1.387 d.1.114 ortcehov e. None of the above
Profitability index is 1.387. Thus, the correct option is (c) 1.387.
The formula for calculating the profitability index is:
P.I = PV of Future Cash Flows / Initial Investment
Where,
P.I is the profitability index
PV is the present value of future cash flows
The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.
The present value of cash flows can be calculated using the formula:
PV = CF / (1 + r)ⁿ
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
n is the number of periods
For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.
Substituting the values, we get:
PV = 2.85 / (1 + 0.11)¹ = $2.56 million
To calculate the present value of all future cash flows, we can use the formula:
PV = CF / (r - g)
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
g is the constant growth rate
For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.
Substituting the values, we get:
PV = 2.85 / (0.11 - 0.0385) = $39.90 million
The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.
PV of future cash flows = $39.90 million + $2.56 million = $42.46 million
Profitability index (P.I) = PV of future cash flows / Initial investment
= 42.46 / 30
= 1.387
Therefore, the correct option is (c) 1.387.
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A cyclist travels 4miles in 15 minutes. What is her average speed in mph?
Answer:
5
Step-by-step explanation:
Hence, the average speed to the cyclist is 16mph.
What is speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
How to solve?We know,
distance covered = 4 miles
time taken = 15 minutes = \(\frac{1}{4}\)hours
speed = \(\frac{4}{\frac{1}{4} }\) = 16
Hence, speed is 16.
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categorize the following graph is linear increasing, linear decreasing, exponential growth, or exponential decay.
Answer:
Exponential Decay is the answer
What Is The Answer To My Question
I Do Not Understand It.║ Surface area using nets ║
Picture / Question Below
Which line has a constant of proportionality between y and x of 1/2
Answer:
Line c
Step-by-step explanation:
y=\(\frac{x}{2}\)
2 3/5 divided by 7/9?As a Multiplication fraction
Answer:
it will be 13/5 x 9/7
Step-by-step explanation:
2 3/5 / 7/9
2 x 5 = 10
10 + 3 = 13
13/5
flip 7/9 to 9/7
help me with this please I'll give branliest
Answer:complete next question:fragment
Step-by-step explanation:
complete
fragment
yeah that is all i got
The area of a rectangular rug is 21 square feet. The perimeter is 20 feet. What are the dimensions of the rug?
Answer: The length is 7, the width is 3.
Step-by-step explanation:
7*3 = 21 which is the area, also 7 and 3 are the only factors of 21.
7+7 is 14,
3+3 is 6
14 + 6 is 20 which is the perimeter.
PLZ IF RIGHT I WILL GIVE BRAINLIST: One year, the population of a city was 64,000. Several years later it was 53,120. Find the percent decrease.
Ans=______%
the answer is it decreased 17%
im not 100% btw
2. (i) Express 2016 as the product of its prime factors.
(ii) Given that 2016/m = n², where m and n are whole numbers and n is as large as possible, find the value of m and of n.
(iii) Find the smallest whole number h such that 2016/h is a cube number.
Answer:
N=14
Step-by-step explanation:
The first thing you want to do is write 2016 as its prime factorization: 2016 = 25*32*7. The 32 is already a square. We need too multiply one more factor of 2 to make 26, which has 23 = 8 as its square root. We also need to multiply by 7 to give 72. Therefore, to make a perfect square out of 2016, we need to multiply by 2*7 = 14. So, N =14.
I don't know if this really helps but i hope it helps!