X - 5 = -11
Solve the value of x.
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Please help!!!!!!! 50 points!!!!!
The figure is made up of a cylinder and 2 cones. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.
A cylinder and 2 cones. All have a radius of 2 millimeters. The cones have heights of 4 millimeters and 2 millimeters, and the cylinder has a height of 5 millimeters.
Recall the formulas V = B h and V = one-third B h
millimeters cubed
Answers
Answer:
96.29 mm^3
Step-by-step explanation:
Cylinder
V = pi r^2 h
V = 3.14 ( 2)^2 ( 5)
V = 3.14 *4*5
V =62.8 mm^3
Cone
V = 1/3 pi r^2 h
V = 1/3 (3.14) 2^2 ( 4)
V =1/3 (3.14) 4*4
V =16.746666666 mm^3
There are 2 cones so multiply by 2
Both cones = 33.493333333333 mm ^3
Add the cones and the cylinder together
62.8+33.493333333 =96.293333333
Rounding to the nearest hundredth
96.29 mm^3
onsider the following production function: y = F(L, K) = 4L3 K} = where L and K are the amount of labour and capital used in the production process, and y is the output. Throughout this question, the output price p is 3 and the rental rate of capital r is 1. We will first consider a firm in the short run, where the amount of capital is fixed at K = 64. The fixed cost is therefore 64. = (a) (Level A) Is there diminishing returns to labour? Explain. (b) (Level A) Suppose the wage rate w is 1. Find the profit-maximising choice of L. Calculate the profit-maximising output level and the maximised profit. (There is no need to check the second order condition but of course you can check if you want to.) (c) (Level A) Now suppose w increases to 2. Find the profit-maximising choice of L. Calculate the profit-maximising output level and the maximised profit. (There is no need to check the second order condition.) You can leave your answers in square roots. (d) (Level A) What is the change in L when w increases from 1 to 2 in the short run? You can leave your answers in square roots.
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Yes, there are diminishing returns to labor in the given production function.
What is the profit-maximizing choice of labor and the resulting output and profit level when the wage rate is 1?
There are diminishing returns to labor in the given production function. As more units of labor (L) are added while holding capital (K) constant, the increase in output (y) becomes smaller and smaller. This is indicative of diminishing marginal product of labor.
When the wage rate (w) is 1 and the capital (K) is fixed at 64, the profit-maximizing choice of labor (L) can be found by equating the marginal product of labor (MPL) to the wage rate. In this case, MPL = 12L^2K.
Setting MPL = w, we have 12L^2K = 1. Substituting K = 64, we get 12L^2 * 64 = 1. Solving for L, we find L ≈ 0.0917.
The profit-maximizing output level (y) can be calculated by substituting the values of L and K into the production function. Thus, y = 4L^3K = 4(0.0917)^3 * 64 ≈ 0.026.
The maximized profit can be determined by subtracting the total cost (TC) from the total revenue (TR). Since the fixed cost is given as 64, TC = 64 + wL = 64 + 1(0.0917) ≈ 64.092. TR is the product of the output level and the price, which is 0.026 * 3 = 0.078.
Profit = TR - TC ≈ 0.078 - 64.092 ≈ -63.014.
Diminishing returns to labor imply that as more labour is employed while holding other factors constant, the incremental increase in output becomes smaller. In the given production function, this phenomenon is observed. In the short run, with a fixed capital level of 64, we determine the profit-maximizing choice of labour (L) when the wage rate (w) is 1. By equating the marginal product of labour (MPL) to the wage rate, we find L ≈ 0.0917. Substituting this value into the production function, we calculate the profit-maximizing output level as y ≈ 0.026. The maximized profit is determined by subtracting the total cost (TC) from the total revenue (TR), resulting in a profit of approximately -63.014. This analysis helps understand the relationship between input choices, output levels, and profit optimization in the short run.
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The following table is for which exponential function?
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Is y = (x - 1)(x + 7) linear or nonlinear
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The side lengths of a rectangle are represented by the expressions 8x + 4 and 3x - 2. What is the length
of the shorter side, if the perimeter of the rectangle is 158cm?
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Given, the side lengths of a rectangle are represented by the expressions 8x + 4 and 3x - 2. To find: the length of the shorter side, if the perimeter of the rectangle is 158 cm.
So, we need to write the perimeter of the rectangle as:
Perimeter of rectangle = 2 (Length + Breadth) It is given that the perimeter of the rectangle is 158 cm. So, putting its value in above equation:
158 = 2 (Length + Breadth)
79 = Length + Breadth Also, it is given that the expressions for the length and breadth are 8x + 4 and 3x - 2 respectively.
Now, substitute the expressions for length and breadth in the above equation.
79 = (8x + 4) + (3x - 2)79
= 11x + 2 77
= 11x
x = 7 Substituting value of x = 7 in the expression for the shorter side,
3x - 2 :Shorter side
= 3x - 2
= 3(7) - 2
= 21 - 2
= 19 Therefore, the length of the shorter side is 19 cm.
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Answer the following question\(( - \frac{2}{3} \sqrt{6} )(9 \sqrt{3} \)
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The expression is given as,
\(\frac{-2}{3}\times\sqrt[]{6}\text{ }\times\text{ 9}\sqrt[]{3}\)The given expression is simplified as follows:
\(\begin{gathered} =\frac{-2}{\sqrt{3}\times\sqrt[]{3}}\times\sqrt[]{3\text{ }}\text{ }\times\text{ }\sqrt[]{2}\text{ }\times\text{ 9 }\times\text{ }\sqrt[]{3} \\ =\text{ -2}\sqrt[]{2\text{ }}\text{ }\times\text{ 9} \\ =\text{ -18 }\sqrt[]{2} \end{gathered}\)Thus the result of the given expression is,
\(\text{-18 }\sqrt[]{2}\)stores l and m each sell a certain product at a different regular price. if both stores discount their regular price of the product, is the discount price at store m less than the discount price at store l ?
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The discount price at each store will depend on the regular price and the amount of the discount offered, and it is not possible to determine which store will have the lower discount price without knowing these factors.
Elaborate more your answer indetail?It is not necessarily true that the discount price at store M will be less than the discount price at store L. The relative discount prices will depend on the amount of the discount applied by each store.
For example, let's say that the regular price of the product at store L is $100 and the regular price at store M is $120. If store L offers a 20% discount, the discount price would be $80.
If store M offers a 15% discount, the discount price would be $102. Therefore, in this case, the discount price at store L is less than the discount price at store M.
On the other hand, if store L offers only a 10% discount, the discount price would be $90. In this case, the discount price at store M would be less than the discount price at store L.
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Which set of points is collinear? Please answer ASAP
{(4,2), (-2,-4), (0,-1)}
{(6,-9), (-1,-1), (2,3)}
{(0,-2), (-4,2),(-1,-1)}
{(-2,-8), (-1,-4), (3,9)}
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Answer:
third one
Step-by-step explanation:
the slope is one that's why
What is function and not function?
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Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.
Step-by-step explanation:
Please Help Me If You Can, Tysm
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Answer:
-2/3 is the answer I believe
The width of the rectangle shown below is 6 inches (in.).
The length is 2 feet (ft).
What is the area of the rectangle in square inches?
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Answer:
144 in.²
Step-by-step explanation:
To convert ft to in. multiply ft by 12.
That means that 2 ft = 2 ft × 12 = 24 in.
width = 6 in.
length = 2 ft = 24 in.
area = length × width
area = 24 in. × 6 in.
area = 144 in.²
What is the value of x
Answers
Answer:
30....hoped this helped
Answer:
30 because 60+30=90. hope this helps
Forensic Science Forensic scientists use the following law to determine the time of death of accident or murder victims. If T denotes the temperature of a body t hr after death, then T = T0 + (T1 − T0)(0.97)t where T0 is the air temperature and T1 is the body temperature at the time of death. John Doe was found murdered at midnight in his house; the room temperature was 74°F and his body temperature was 93°F when he was found. When was he killed? Assume that the normal body temperature is 98.6°F. (Round your answer to two decimal places.) hours ago
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John Doe was killed approximately 4.06 hours ago.
To determine the time of death for John Doe, we will use the given formula: \(T = T0 + (T1 - T0)(0.97)^t\),\)where T is the body temperature at time t, T0 is the air temperature (74°F), and T1 is the body temperature at the time of death (93°F).
We are trying to find the time (t) when John Doe's body temperature was 98.6°F (normal body temperature). So, we'll set T equal to 98.6°F and solve for t:
\(98.6 = 74 + (93 - 74)(0.97)^t\)
To solve for t, follow these steps:
1. Subtract 74 from both sides:
\(24.6 = 19(0.97)^t\)
2. Divide by 19:
\(1.2947 ≈ (0.97)^t\)
3. Take the natural logarithm of both sides:
ln(1.2947) ≈ \(ln((0.97)^t)\)
4. Apply the logarithm power rule:
ln(1.2947) ≈ t * ln(0.97)
5. Divide by ln(0.97):
t ≈ ln(1.2947) / ln(0.97)
6. Calculate t:
t ≈ 4.06
So, John Doe was killed approximately 4.06 hours ago.
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Heather has divided $5600 between two investments, one paying 9% the other paying 5%. If the return investment is $396, how much does she have in each investment?
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Answer:
x = 2700 y=2900
Step-by-step explanation:
x+y = 5600
5/100 x + 9/100 y = 396
x+y=5600
5x+9y=39600
5x+5y = 28000
5x+9y=39600
-4y = -11600
y= 2900
x = 5600-2900 = 2700
9x + 6 (5600-x) =39600
9x + 33,600 - 6 = 39600
3x = 6000
X = $2000
So 2000 invested at 9% and 3000 invested at 5%
09(2000) + .05(3000) = 3300
why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
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The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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A fence on a hill uses vertical posts L and M
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Given:
\(N\left|\right|P\text{ and }\angle1=115^{\circ}\)The vertical poles L and M are transversal lines.
To find: The measure of angle 16.
Explanation:
As we know,
The sum of the two exterior angles between parallel lines crossed by the transversal line is 180 degrees.
So, we can write it as,
\(\begin{gathered} \angle1+\angle16=180 \\ 115+\angle16=180 \\ \angle16=180-115 \\ \angle16=65^{\circ} \end{gathered}\)The measure of an angle 16 is 65 degrees.
Final answer: The measure of an angle is,
\(\angle16=65^{\circ}\)The key personal decisions that can influence your personal safety while exercising are __________. A. making sure to replace lost fluids before, during, and after exercise B. preparing for exercise in extreme temperatures C. choosing when, where, and how to exercise D. all of the above Please select the best answer from the choices provided. A B C D Mark this and return
Answers
Answer:
D. All of above.
Step-by-step explanation:
i feel all of these answers would be key things to do for your personal safety while exercising.
prove that, for all integers m and n, 4 | (m2 n 2 ) if and only if m and n are even.
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We have proved both implications, we can conclude that 4 divides (m^2 * n^2) if and only if m and n are both even.
How to prove m and n are even?To prove that 4 divides (m^2 * n^2) if and only if m and n are even, we need to prove two implications:
If 4 divides (m^2 * n^2), then m and n are even.
If m and n are even, then 4 divides (m^2 * n^2).
Let's start with the first implication:
If 4 divides (m^2 * n^2), then m and n are even.
We can prove this by contrapositive. Assume that m and n are not both even, which means that at least one of them is odd. Without loss of generality, let's assume that m is odd. Then m can be written as m = 2k + 1, where k is an integer. Substituting this into the expression for m^2 * n^2, we get:
m^2 * n^2 = (2k + 1)^2 * n^2
= 4k^2 * n^2 + 4kn^2 + n^2
Note that the first two terms in this expression are both divisible by 4, but the last term (n^2) is not necessarily divisible by 4, since n could be odd. Therefore, m^2 * n^2 is not divisible by 4 if m and n are not both even. This proves the contrapositive, and hence the first implication.
Now, let's move on to the second implication:
If m and n are even, then 4 divides (m^2 * n^2).
We can prove this directly. Since m and n are even, we can write them as m = 2k and n = 2j, where k and j are integers. Substituting these into the expression for m^2 * n^2, we get:
m^2 * n^2 = (2k)^2 * (2j)^2
= 4k^2 * 4j^2
= 16(k^2 * j^2)
Since k and j are integers, k^2 * j^2 is also an integer, and hence 16(k^2 * j^2) is divisible by 4. Therefore, m^2 * n^2 is divisible by 4 if m and n are both even. This proves the second implication.
Since we have proved both implications, we can conclude that 4 divides (m^2 * n^2) if and only if m and n are both even.
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Solve f(x)= x2 when x = 5.
Answers
Answer:
10
Step-by-step explanation:
Answer:
f = 2Step-by-step explanation:
f(x) = x2 ... when 'x' is equal to 5
So...
1.) Plug in 5 for the variable 'x'
f(5) = (5) * (2)
2.) Simplify both sides of the equation
5f = 10
3.) Divide both sides by 5
5f /5 = 10/5
f = 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope I helped!!!
GL :)
Find the gradient (m) and y-intercept (c) of the equation y =-2/3x+1/3
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he equation of a line is written as y=mx+b where m is the slope and b is the
y -intercept, Thus,m=23 And the y -intercept,b=1
(PLS HURRY!) On Melissa's 6th birthday, she gets a 2000$ CD that earns 6% interest, compounded. If the CD matures on her 14th birthday, how much money will be available?
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Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.
What is Compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -
\(A = P(1 + r/n)^(nt)\)
Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).
It is not given how many times per year the interest is compounded, so assume it is compounded annually.
Using these values in the formula -
\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)
Therefore, the value is obtained as $3187.69.
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I need help ASAP please and thank you.
Answers
Answer:
35
Step-by-step explanation:
(-5)(-7) is a multiplication problem, so you would multiply -5 and -7 together to get 35 as two negatives make a positive
A quadratic and a curvilinear term are the same thing.
True
False
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A curvilinear term in mathematics is "Consisting of, bounded by, or characterized by a curved line." However, the definition of a quadratic is a second-order polynomial equation in a single variable \(0= ax^{2}+bx+c\) with
\(a\neq 0\). A quadratic is a curvilinear term according to my definition, but a function like \($x^{4}$\) would also fit the definition of curvilinear. So, your answer is
False, a quadratic and a curvilinear term are not the same.
False, a curvilinear term is more broad, but quadratics have specific restrictions.
Why is 3.14 called pi?
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It was first called "pi" in 1706 by William Jones, because pi is the first letter in the Greek word perimitros, which means "perimeter."
Surface area of image
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The surface area of the cuboid is 3.286 cm²
What are the surface area of a cuboid?A cuboid is a solid shape or a three-dimensional shape.
Surface area is the amount of space covering the outside of a three-dimensional shape.
The surface area of a cuboid is expressed as;
SA = 2( lb + lh + bh)
length = 1 2/5 = 7/5
breadth = 5/8
height = 3/8
lb = 7/5 × 5/8 = 7/8
bh = 5/8 × 3/8 = 15/64
lh = 7/5 × 3/8 = 21/40
surface area =2( 7/8 + 15/64+21/40)
= 2( 0.875 + 0.234 + 0.525)
= 2( 1.634)
= 3.268 cm²
The surface area of the cuboid is 3.268 cm²
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Suppose that either a member of the CS faculty or a student who is a CS major is chosen as a representative to a university committee. How many different choices are there for this representative if there are 9 members of the CS faculty and 114 CS majors and no one is both a faculty member and a student
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The total number of different choices for the representative is 114
How to find different choices for the representative to the university committee?The number of choices for the representative to the university committee is the sum of the number of CS faculty members and the number of CS majors who are not faculty members.
Since no one can be both a faculty member and a student.
The number of choices for a faculty member is simply the number of members of the CS faculty, which is 9.
The number of choices for a CS major who is not a faculty member can be calculated by subtracting the number of CS faculty members from the total number of CS majors: 114 - 9 = 105.
Therefore, the total number of different choices for the representative is:
9 + 105 = 114
So there are 114 different choices for the representative to the university committee.
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Y'all actually expect people to conduct experiments or to write whole essays for you?
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A college performs a survey of 424 graduates to estimate the proportion of alumni who are working in the field of study in which they obtained their college degree (e.g., the student earned a degree in biology and works in the field of biology). Of the 424 alumni, 361 reported that they were working in the field of study in which they obtained their college degree. Which of the following is the correct 98% confidence interval for the trus proportion of graduates who are working in the field of study in which they obtained their degree? Find the z-table here. a) (0.108, 0.189) b) (0.115, 0.182) c) (0.807, 0.896) d) (0.811, 0.892) e) 0 (0.818, 0.885)
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The correct 98% confidence interval for the true proportion of graduates working in the field of study in which they obtained their degree is (0.811, 0.892).
To calculate the confidence interval, we need to use the formula for estimating proportions and the standard error of the proportion. The formula is:
Confidence interval = sample proportion ± z * standard error
Calculate the sample proportion
In this case, the sample proportion is the number of graduates working in their field of study (361) divided by the total number of graduates surveyed (424):
Sample proportion = 361/424 ≈ 0.852
Calculate the standard error
The standard error of the proportion is calculated using the formula:
Standard error = sqrt((sample proportion * (1 - sample proportion)) / sample size)
Using the given values, we have:
Standard error = sqrt((0.852 * (1 - 0.852)) / 424) ≈ 0.014
Determine the confidence interval
To find the z-value for a 98% confidence level, we look up the corresponding value in the z-table. The z-value for a 98% confidence level is approximately 2.33.
Substituting the values into the confidence interval formula, we have:
Confidence interval = 0.852 ± 2.33 * 0.014
Confidence interval ≈ (0.811, 0.892)
Therefore, the correct 98% confidence interval for the true proportion of graduates working in their field of study is (0.811, 0.892).
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you need 4 teaspoons of cinnamon to make a cake if you up the recipe and use 6 teaspoons of cinnamon what percent increase does this represent?
Answers
Answer:
going from 4 tsp to 60 tsp is an increase of 50%
Step-by-step explanation:
\( \frac{new - old}{old} \times 100\)
\( \frac{6 - 4}{4} \times 100 = \\ \frac{2}{4} \times 100 = \frac{1}{2} \times 100 = \frac{100}{2} = 50\)
What is the length of AC? And Length of AB?
Answers
Answer:
The length of AC is 5 units. The length of AB is 3 units.
Step-by-step explanation:
