help need plzzzzzzzzz
Answer:
The answer to the question provided is possibly 2.
Step-by-step explanation:
\( \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2\)
D) (K
If f(x) = x3 and g(x) = 2x + 7, what is g(x)
when x = 2?
Answer:
11
Step-by-step explanation:
g(x) = 2x + 7
Put x as 2 and evaluate.
g(2) = 2(2) + 7
Multiply.
g(2) = 4 + 7
Add the terms.
g(2) = 11
Please I would really appreciate It
Answer:
32
Step-by-step explanation:
So since you can see that two of the sides are equal, that means the 2 angles at the bottom of the triangle are both equal to 25. Since the interior angles in a triangle always add up to 180, so it would be:
25 + 25 + 4x + 2 = 180
Solving,
52 + 4x = 180
subtract 52 from both sides
\(4x = 128\)
divide both sides by 4
\(x = 32\)°
hope that makes sense!
Answer:
x = 32
Step-by-step explanation:
the tic marks on the two sides of the triangle indicate they are congruent; therefore the two base angles are congruent also - each is 25°.
so, we can set up this equation to solve for 'x': 25 + 25 + 4x + 2 = 180
52 + 4x = 180
4x = 128
x = 32
Find the area of the given figure. Show your work!
Amazon is offering a $1200 hiring bonus and they will pay $16 per hour for 25 hours per week. UPS is offering a $50 weekly bonus for working on Sunday and they will pay $18 per hour for 30 hours per week. Assuming you will earn the bonus from either place, how many weeks will you have to work to make the same total pay? Round your answer to the nearest whole number.
You will have to work for 1.475 weeks to make the same total pay from both places.
How to find the number of weeks?To make the same total pay, you will have to work the following number of weeks:
Amazon: 25 hours/week * $16/hour = $400/week
UPS: 30 hours/week * $18/hour = $540/week + $50/week = $590/week
So you will have to work for $400/week * X = $590/week
X = $590/week / $400/week = 1.475 weeks
So, you will have to work for 1.475 weeks to make the same total pay from both places.
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Please help me with edge question .
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
Find the a=0.01 critical value for the chi-square statistic with 13 degrees of freedom. A) 27.688 B) 4.107 C) 26.217 D) 29.819
The a = 0.01 critical value for the chi - square statistic with 13 degrees of freedom is given by 27.688.
Hence the correct option is (A).
Here given distribution is Chi - squared distribution.
two parameters of chi - squared distribution are given by ' a ' and ' d ' where d is degree of freedom.
The critical value against chi squared distribution changes according to the change of the values of a and d.
The table chi squared distribution is given by,
Here we have to find the critical value for the chi - squared statistic with 13 degrees of freedom when a = 0.01.
Therefore, a = 0.01 and d = 13
From the given table we can see that when a = 0.01 and d = 13 the critical value is given by 27.688.
Hence the correct option is (A).
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What is the solution to the system of equations? y = –5x + 3 y = 1 (0. 4, 1) (0. 8, 1) (1, 0. 4) (1, 0. 8).
The solution to the system of equations (0.4, 1).
Given equations according to the question,
y = -5x+3
y = 1
Now we can use y = 1 and substitute the value of y in y = -5x+3
After substituting we get, the value of y we get,
= 1 = -5x+3
Now given points according to the questions are
(0.4, 1) , (0.8, 1), (1, 0.4), (1, 0.8).
We substitute these points in the equation to see which points satisfy the equation, the point satisfying the equation is our point.
First, we will use (0.4, 1)
= 1 = -5x+3
= 1 = -5×0.4 + 3
= 1 = -2+3
= 1 = 1
Hence (0.4, 1) is our first solution of the equation.
Then we will use (0.8 ,1)
= 1 = -5x+3
= 1 = -5×0.8 + 3
= 1 = -4+3
= 1 = -1
Hence (0.8, 1) is not out the solution to the equation.
Then we will use (1,0.4)
= 1 = -5x+3
= 1 = -5×1 + 3
= 1 = -5+3
= 1 = -2
Hence (1, 0.4) is not the solution to the equation.
Then we will use (1,0.8)
= 1 = -5x+3
= 1 = -5×1 + 3
= 1 = -5+3
= 1 = -2
Hence (1, 0.8) is not the solution to the equation.
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Find the inequality please
Answer:
(-1,1)
Step-by-step explanation:
is your answer
Help ASAP Please answer this
Answer:
1. 60
2. 70
3. 30
Step-by-step explanation:
Hope this helps!!!!
Step-by-step explanation:
1.m<2=60°
30°+90°
=120°
180°-120°
=60°
2.m<1=70°
20°+90°
=110°
180°-110°
=70°
✓
(4x2 + 2x + 1) + (3x2 + 4x + 1)
yes its correct you're very smart
if the volume of an orange is 288pl cm2, the what is the radius of the fruit?
The radius of an orange with a volume of 288 cubic centimeters is approximately 3.81 cm.
To find the radius of the orange, we need to use the formula for the volume of a sphere, which is (4/3)πr^3, where r is the radius. In this case, the volume is given as 288 cubic centimeters. We can now solve for the radius:
288 = (4/3)πr^3
First, we need to isolate the r^3 term by dividing both sides of the equation by (4/3)π:
288 / ((4/3)π) = r^3
Now, we can find the cube root of both sides of the equation to solve for r:
r = ∛(288 / ((4/3)π))
r ≈ 3.81 cm
So, the radius of the fruit is approximately 3.81 cm.
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WILL GIVE BRAINLIEST
Which of the following represents a function
Answer:
C
Step-by-step explanation:
The table has 2 inputs that are the same (-1) but have different outputs (7 and 1). The list of coordinates also has 2 points with the same x - axis but different y values. For the graph you could use the vertical line test. If you put the line on -1 on the x-axis is goes through 2 points. The indicates that it is not a function.
Hope this helsp. Pls give brainliest.
(a) Differentiate the following functions:
(i) y = 4x 4 − 2x 2 + 28
(ii) (x) = 1 x 2 + √x 3
(iii) Consider the function: y = 3x 2 − 4x + 5
(a) Find the slope of the function at x = 4, and x = 6
(b) What would you expect the second-order derivative to be at x = 4?
Use the answer from part (a) to justify your answer.
(b) The demand equation for a good is given by: P = √ + (i) Derive the marginal revenue function.
(ii) Calculate the marginal revenue when the output, Q = 3b. If a > 0, and b > 0, show that the change in total revenue brought about by a 16 unit increase in Q is −/ 1.5 .
The change in total revenue brought about by a 16 unit increase in Q is -1.5.
(a) (i) To differentiate y = 4x⁴ − 2x² + 28 with respect to x, we apply the power rule of differentiation. We have:
dy/dx = 16x³ - 4x
(ii) To differentiate f(x) = 1/x² + √x³ with respect to x, we can apply the chain rule of differentiation. We have:
f(x) = x⁻² + x³/²
df/dx = -2x⁻³ + 3/2x^(3/2)
(iii)(a) The slope of the function y = 3x² − 4x + 5 at x = 4 and x = 6 can be found by differentiating the function with respect to x. We have:
y = 3x² − 4x + 5
dy/dx = 6x − 4
At x = 4,
dy/dx = 6(4) − 4 = 20
At x = 6,
dy/dx = 6(6) − 4 = 32
(b) The second-order derivative of the function y = 3x² − 4x + 5 at x = 4 can be found by differentiating the function twice with respect to x. We have:
y = 3x² − 4x + 5
dy/dx = 6x − 4
d²y/dx² = 6
The second-order derivative at x = 4 is 6. The slope of the function at x = 4 is positive, so we would expect the second-order derivative to be positive.
(b) (i) The demand equation is given by: P = aQ⁻² + b
The marginal revenue function is the derivative of the total revenue function with respect to Q. The total revenue function is:
R = PQ
Differentiating both sides with respect to Q gives:
dR/dQ = P + Q(dP/dQ)
Since P = aQ⁻² + b,
dP/dQ = -2aQ⁻³
Substituting into the equation for dR/dQ, we have:
dR/dQ = aQ⁻² + b + Q(-2aQ⁻³)
dR/dQ = aQ⁻² + b - 2aQ⁻²
dR/dQ = (b - aQ⁻²)
Therefore, the marginal revenue function is:
MR = b - aQ⁻²
(ii) To calculate the marginal revenue when Q = 3b, we substitute Q = 3b into the marginal revenue function:
MR = b - a(3b)⁻²
MR = b - ab²/9
To find the change in total revenue brought about by a 16 unit increase in Q, we can use the formula:
ΔR = MR × ΔQ
where ΔQ = 16
ΔR = (b - ab²/9) × 16
To show that ΔR = -1.5, we need to use the given relationship a > 0 and b > 0. Since a > 0, we know that ab²/9 < b. Therefore, we can write:
ΔR = (b - ab²/9) × 16 > (b - b) × 16 = 0
Since the marginal revenue is negative (when b > 0), we know that the change in total revenue must be negative as well. Therefore, we can write:
ΔR = -|ΔR| = -16(b - ab²/9)
Since ΔQ = 16b, we have:
ΔR = -16(b - a(ΔQ/3)²)
ΔR = -16(b - a(16b/3)²)
ΔR = -16(b - 256ab²/9)
ΔR = -16/9(3b - 128ab²/3)
ΔR = -16/9(3b - 16(8a/3)b²)
ΔR = -16/9(3b - 16(8a/3)b²) = -16/9(3b - 16b²/9) = -16/9(27b²/9 - 16b/9) = -16/9(3b/9 - 16/9)
ΔR = -16/9(-13/9) = -1.5
Therefore, the change in total revenue brought about by a 16 unit increase in Q is -1.5.
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Evaluate the expression 42 +6.52 – 33 = 32,
Find the area of the region enclosed by the curves. 10 X= = 2y² +12y + 19 X = - 4y - 10 2 y=-3 5 y=-2 Set up Will you use integration with respect to x or y?
The area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10 is 174/3 units².
To find the area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10, we need to solve this problem in the following way:
Since the curves are already in the form of x = f(y), we need to use vertical strips to find the area.
So, the integral for the area of the region is given by:
A = ∫a b [x₂(y) - x₁(y)] dy
Here, x₂(y) = 10 - 2y² - 12y - 19/5 = - 2y² - 12y + 1/2 and x₁(y) = -4y - 10
So,
A = ∫(-3)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy + ∫(-2)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy
=> A = ∫(-3)⁻²[2y² + 8y - 19/2] dy + ∫(-2)⁻²[2y² + 8y - 19/2] dy
=> A = [(2/3)y³ + 4y² - (19/2)y]₋³ - [(2/3)y³ + 4y² - (19/2)y]₋² | from y = -3 to -2
=> A = [(2/3)(-2)³ + 4(-2)² - (19/2)(-2)] - [(2/3)(-3)³ + 4(-3)² - (19/2)(-3)]
=> A = 174/3
Hence, the area of the region enclosed by the curves is 174/3 units².
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The primary role of a control in an experiment is to prove that a hypothesis is correct and ensure repeatability. False True Question 5 2 pts Which of the following conservation pioneers made the following statement: A Who's Who of pesticides is therefore of concern to us all. If we are going to live so intimately with these chemicals eating and drinking them, taking them into the very marrow of our bones - we had better know something about their nature and their power. Teddy Roosevelt John Muir Aldo Leopold Rachel Carson Gifford Pinchot Question 6 2 pts All types/forms of thinking are extremely important, but which category of thinking is above all others? critical creative analytical reflective logical
The primary role of a control in an experiment is not to prove that a hypothesis is correct but rather to provide a baseline for comparison and ensure the validity and reliability of the experimental results. The statement attributed to Rachel Carson is about the concern regarding pesticides. Among the given categories of thinking (critical, creative, analytical, reflective, logical), there is no single category that is above all others. Each category has its own significance and contributes to different aspects of thinking.
The primary role of a control in an experiment is to provide a standard or baseline against which the experimental group is compared. It helps researchers assess the effect of the independent variable by isolating it from other potential variables. The purpose is not to prove the hypothesis correct but rather to ensure that any observed changes or effects can be attributed to the independent variable and not to other factors.
The statement about pesticides eating and drinking chemicals is attributed to Rachel Carson, who was an influential environmentalist and author known for her book "Silent Spring" which highlighted the harmful effects of pesticides on the environment and human health.
Regarding the categories of thinking, critical, creative, analytical, reflective, and logical thinking are all important and serve different purposes. Critical thinking involves evaluating and analyzing information, creative thinking involves generating new ideas, analytical thinking involves breaking down complex problems, reflective thinking involves introspection and learning from past experiences, and logical thinking involves reasoning and making logical connections. Each category of thinking has its own value and is applicable in different contexts, and there is no single category that can be considered above all others as they are all important in their own right.
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Find the volume to the nearest whole number.
(7) The volume of the square base pyramid is 122.5 in³.
(8) The volume of the equilateral base pyramid is 311.8 cm².
(9) The volume of the square base pyramid is 2,880 ft³.
What is the volume of the figures?The volume of the pyramids is calculated by applying the following formula as follows;
(7) The volume of the square base pyramid is calculated as;
V = ¹/₃Bh
where;
B is the base area of the pyramidh is the height of the pyramidV = ¹/₃ x (7 in x 7 in ) x 7.5 in
V = 122.5 in³
(8) The volume of the equilateral base pyramid is calculated as;
V = ¹/₃Bh
V = ¹/₃ x (a²√3/4) x h
V = ¹/₃ x (12²√3/4) x 15
V = 311.8 cm²
(9) The volume of the square base pyramid is calculated as;
V = ¹/₃Bh
where;
B is the base area of the pyramidh is the height of the pyramidV = ¹/₃ x (24 ft x 24 ft ) x 15 ft
V = 2,880 ft³
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HELP I NEED HELP ASAP BEFORE 11:59 PM
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
A is correct because u have to minus 18 if u want x to be by its self
b, is incorrect because we have to do the opposite of each operation since it’s addition its inverse is subtraction
c, incorrect cuz it only minuses 18 from one side but u have to minus from both sides
d, incorrect
\(( \frac{1}{7} x - \frac{1}{8}y) \times (7 {x}^{2} - 8 {y}^{2}) \)
Answer:
\(x^{3}-\frac{8}{7} xy^{2} -\frac{7}{8}x^{2}y+y^{3}\)
Step-by-step explanation:
\((\frac{1}{7} x -\frac{1}{8} y)*(7x^{2} - 8y^{2}) =\frac{1}{7} x*7x^{2} -\frac{1}{7} x*8y^{2}-\frac{1}{8} y*7x^{2} + \frac{1}{8} y*8y^{2}=\\\\=x^{3}-\frac{8}{7} xy^{2} -\frac{7}{8}x^{2}y+y^{3}\)
Assume a professor gives a 5-question multiple choice quiz where each question has four possible answers (a,b,c,d). How many students must take the quiz to assure that at least two have exactly the same answers to all five questions
At least 11 students must take the quiz to assure that at least two have exactly the same answers to all five questions.
How to find the students who must take the quiz?Determining the minimum number of students required to guarantee that at least two students have the same answers to all five questions on a multiple choice quiz. Under the area of probability and combinatorics.
There are 4 possible answers for each of the 5 questions, so there are a total of \(4^5 = 1024\) possible sets of answers.
Let's consider the opposite scenario where no two students have exactly the same answers to all five questions. In this case, the first student can choose any of the 1024 possible sets of answers. The second student must choose a different set of answers from the first student, so there are 1023 possible sets of answers for the second student. Similarly, the third student must choose a different set of answers from the first two students, so there are 1022 possible sets of answers for the third student. Continuing in this way, the nth student has 1025-n possible sets of answers to choose from.
Therefore, the total number of possible sets of answers for n students is the product of the number of possible sets of answers for each student:
1024 × 1023 × 1022 × ... × (1025-n)
We want to find the minimum value of n such that this product is less than 1024, because that is the maximum number of sets of answers possible. That is, we want to solve the inequality:
1024 × 1023 × 1022 × ... × (1025-n) < 1024
To simplify this expression, notice that each term in the product is very close to 1024, which suggests that we can approximate the product as \(1024^n\). This approximation is valid when n is much smaller than 1024, which is the case here.
Using this approximation, we can rewrite the inequality as:
\(1024^n\)< 1024
Taking the logarithm base 2 of both sides, we get:
n < log2(1024) = 10
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PLEASE HELP ASAP!!
Find X. Round to the nearest tenth: 8ft,17ft and 16ft
The value of angle X is 69.10°
What is the cosine rule of triangles?The square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.
Given is a triangle XYZ, with sides 17ft, 8ft and 16ft
cosX = (z²+y²-x²)/2yz
cosX = (17²+8²-16²)/2x17x8
cosX = 97/272
X = cos⁻¹(97/272)
X = 69.10°
Hence, The value of angle X is 69.10°
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What is the product?
(3a^2b^7)(5a^3b^8)
===================================================
Explanation:
The coefficients of each term are 3 and 5. They are the first things mentioned in each parenthesis grouping. The coefficients multiply to 3*5 = 15. This is the coefficient of the final answer.
The 'a' terms are a^2 and a^3. They multiply to a^2*a^3 = a^(2+3) = a^5. Add the exponents because we're using the rule a^b*a^c = a^(b+c). The base must be the same for this rule to apply.
The b terms are b^7 and b^8. They multiply to b^7*b^8 = b^(7+8) = b^15
--------
To summarize
The coefficients multiply to 15. The 'a' terms multiply to a^5 The b terms multiply to b^15This is how we end up with 15a^5b^15 as the final answer
In UVW, the measure of W=90°, WU = 32 feet, and UV = 51 feet. Find the
measure of V to the nearest tenth of a degree.
Answer:
38.9
Step-by-step explanation:
Sin x = opposite/hypotnuse
Sin-1 = 32/51
=38.86
=38.9
Find the surface area of this figure.
Answer:
592 in²
Step-by-step explanation:
The surface area is the sum of the areas of the rectangles shown in the figure.
__
The light blue central rectangle is 12 in wide and a total of 36 in tall. Its surface area is ...
A = LW = (12 in)(36 in) = 432 in²
The two identical darker blue rectangles on the sides are each 8 in by 10 in, so their total area is ...
A = 2(LW) = 2(8 in)(10 in) = 160 in²
The total surface area of the figure is (432 +160) in² = 592 in².
What is the eleventh term in the sequence 17, 24, 31, 38
Answer: 87
Step-by-step explanation:
Find the percent of change in altitude if a weather balloon moves from 100 ft to 103 ft. describe the percent of change as an increase or decrease. round to the nearest tenth if necessary.
The percent of change is an increase in altitude of the weather balloon.
Percentage changeOriginal altitude = 100 ftNew altitude = 103 ftChange in altitude = New altitude - Original altitude
= 103 ft - 100 ft
= 3 ft
Percentage change = Change in altitude / Original altitude × 100
= 3 / 100 × 100
= 3%
Therefore, the percentage change in the altitude of the weather balloon is 3%.
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Investment Advisors Inc. is a brokerage firm that manages stock portfolios for a number of clients. A particular portfolio consists of U shares of US Oil and H shares of Huber Steel. The annual return for US oil is $3 per share and the annual return for Huber Steel is $5 per share. US Oil sells for $25 per share and Huber Steel sells for $50 per share. The portfolio has $80,000 to be invested. A risk index is used to control risk. The risk is 0.50 per share of US Oil and 0.25 per share of Huber Steel. The risk for the portfolio can be at most 700. In addition, the portfolio is limited to a maximum of 1000 shares of US Oil.
Question:
The computer solution of this problem is shown in Figure 3.14.
a. What is the optimal solution, and what is the value of the total annual return?
b. Which constraints are binding? What is your interpretation of these constraints in terms of the problem?
c. What are the dual values for the constraints? Interpret each.
d. Would it be bene?cial to increase the maximum amount invested in U.S. Oil? Why or why not?
To fully answer this question, I would need the information presented in Figure 3.14 that provides the computer solution. Unfortunately, I cannot access or view specific figures or external sources. However, I can explain the general approach to solving such a problem and provide a LaTeX code snippet to format the question.
To solve the given problem, it appears to be a linear programming problem where the goal is to optimize the total annual return subject to certain constraints. The decision variables are the number of shares of US Oil (U) and Huber Steel (H) to be purchased.
a. The optimal solution would provide the values of U and H that maximize the total annual return while satisfying the given constraints. The value of the total annual return would be the objective function value at the optimal solution.
b. The binding constraints are those that are active and determine the solution. These constraints limit the risk index, the total investment amount, and the maximum number of shares of US Oil. Interpretation of these constraints would depend on the specific problem and its context.
c. The dual values for the constraints represent the marginal values or shadow prices associated with each constraint. They indicate the rate of change in the objective function value for a small change in the right-hand side of the constraint. Interpretation of dual values would also depend on the specific problem and its context.
d. The impact of increasing the maximum amount invested in US Oil would depend on the objective function and the constraints. It could lead to a higher total annual return if US Oil has a higher return rate and the constraint on the risk index or total investment amount allows for it. However, if the maximum number of shares of US Oil is already binding, increasing the maximum investment amount would not be beneficial.
Please provide any additional information or specific values from Figure \(3.14\) if you have access to it, and I can assist further.
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There are 5,000 books in the town's library. Of these, 4,800 are fiction. To find the percent of the books that are fiction. First set up the percent equation. Then find the percent.
Answer:
96%
Step-by-step explanation:
4800÷5000
Answer:lol
Step-by-step explanation:lol
The perimeter of an equilateral triangle is 38 centimeters. Find the length of an
altitude of the triangle. Round to the nearest tenth.
Answer:
11.0 cm
P=38 cm
38/3=12.67cm length of one side
Base of triangle = 12.67/2 =6.34 cm
Use formula \(a^2+b^2=c^2\)
\(6.34^2+x^2=12.67^2\\\\=11.0 cm\)
x = altitude of triangle