The first integral is bounded by specific equations and involves integration with respect to x and y. The second integral is bounded by different equations the third integral is defined over a circular region.
In the first integral, JDJ, the region D is bounded by the equations y = 0, y = 4 - x², x = 0, and x = 2. To evaluate this integral, we need to perform a double integration with respect to x and y. The limits of integration for x are from 0 to 2, while the limits for y depend on the value of x. The function being integrated is not specified, so the integrand would need to be given in order to obtain the precise result.
In the second integral, Jpfe & G C dy dr, the region D is bounded by the equations y = 2x, y = 0, x = √ln 3, and y = 2√ln 3. Here, the integration is done with respect to y first and then with respect to x. The limits for y are determined by the given equations, while the limits for x are constant. The specific integrand is not provided, so further information would be required to compute the result accurately.
The third integral, 2 du dr, is defined over a circular region D given by the equation x² + y² = 1. This equation represents a unit circle centered at the origin. The integration is performed in polar coordinates, where u represents the angle and r denotes the radial distance. The limits for u would typically range from 0 to 2π, covering the entire circle, while the limits for r would depend on the radius of the circle involved in the problem. The integrand function is not specified, so the complete problem statement would be necessary to determine the exact result.
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please HELP! USE PYTHAGOREAN THEOREM TO FIND RIGHT TRIANGLE SIDE LENGTHS
formula A(2)+B(2)=C(2)
Answer:
x = √ 40
Step-by-step explanation:
6 x 6 = 36 2 x 2 = 4 36 + 4 = 40Solve the inequality. Express the solution both on the number line and in interval notation. Use exact forms (such as fractions) instead of decimal approximations. 3x-4 a) x²-2x-3≥0 b) 6x-2x² > 0 c); ≤0 9x+17
a) The solution to x²-2x-3≥0 is x ≤ -1 or x ≥ 3, expressed in interval notation as (-∞, -1] ∪ [3, ∞).
b) The solution to 6x-2x² > 0 is x < 0 or x > 3, expressed in interval notation as (-∞, 0) ∪ (3, ∞).
c) The solution to 9x+17 ≤ 0 is x ≤ -17/9, expressed in interval notation as (-∞, -17/9].
a) To solve the inequality x²-2x-3≥0, we can factor the quadratic expression as (x-3)(x+1) ≥ 0. We find that the inequality is satisfied when x ≤ -1 or x ≥ 3. The solution is expressed in interval notation as (-∞, -1] ∪ [3, ∞).
b) To solve the inequality 6x-2x² > 0, we can factor out 2x from the expression to get 2x(3-x) > 0. We find that the inequality is satisfied when x < 0 or x > 3. The solution is expressed in interval notation as (-∞, 0) ∪ (3, ∞).
c) To solve the inequality 9x+17 ≤ 0, we isolate x by subtracting 17 from both sides to get 9x ≤ -17. Dividing both sides by 9, we find x ≤ -17/9. The solution is expressed in interval notation as (-∞, -17/9].
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Find the slope of the line
Answer:
-5/4 is the slope of the line.
Don't understand. Help please?
Answer:
Length is 138 ft, area is 412 ft
Step-by-step explanation:
The length is determined by the perimeter, so add both side of the perimeter together, and you have your length. Area is determined by perimeter + Length, to add both sides of perimeter and length and you get 412 ft.
Evaluate : ab−5c+b
for a = 12, b = 3 and c = - 4
Answer:
59
Step-by-step explanation:
[tex](12*3)-5*(-4)+3=59[/tex]
A small internet trading company estimates that each network blackout results in a $500 loss. Compute expectation and variance of this company’s daily loss due to blackouts.
x = 0, 1, 2
Px = 0.7, 0.2, 0.1
The expectation (mean) of the company's daily loss due to blackouts is $200, and the variance is $350.
To compute the expectation of the company's daily loss, we multiply each possible loss value by its corresponding probability and sum them up. In this case, we have three possible loss values (0, 1, and 2) with their respective probabilities (0.7, 0.2, and 0.1). Multiplying each loss value by its probability and summing them gives us the expected value of $200.
To calculate the variance, we need to find the squared differences between each possible loss value and the expected value, multiply them by their respective probabilities, and sum them up. Squaring the differences ensures that negative differences do not cancel out positive differences. In this case, the variance is calculated as (0 - 200)^2 * 0.7 + (1 - 200)^2 * 0.2 + (2 - 200)^2 * 0.1, resulting in a variance of $350.
The expectation and variance provide useful measures of the central tendency and variability, respectively, of the company's daily loss due to blackouts.
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I NEED HELPPP ASAP pleaseeeeeee
Answer:
Subtract 23 from both sides
Step-by-step explanation:
This is how algebra works, to get a variable by itself you have to do the opposite to both sides. Hope this helped.
Answer:
It's D: subtract 23 from both sides of the equation because inverse operations
Step-by-step explanation:
Which sentence is Correct and please take your time !!!
Answer:
b
Step-by-step explanation:
Answer:
The answer is the Last one
Find the missing side and round to the nearest tenth
The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds.
a. What is the area between 415 pounds and a mean of 400 pounds?
b. What is the area between the mean and 395 pounds?
c. What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds?
The probability of selecting a value at random and discovering that it has a value of less than 395 pounds is 0.3085.
a. The area between 415 pounds and a mean of 400 pounds is:
0.9332 - 0.5 = 0.4332.
b. The area between the mean and 395 pounds is:
0.5 - 0.3085 = 0.1915
c.The probability of selecting a value at random and discovering that it has a value of less than 395 pounds is 0.3085.
Given the mean of a normal probability distribution as 400 pounds and the standard deviation as 10 pounds.
We have to calculate the area between 415 pounds and a mean of 400 pounds, the area between the mean and 395 pounds, and the probability of selecting a value at random and discovering that it has a value of less than 395 pounds.
a. What is the area between 415 pounds and a mean of 400 pounds?
The Z-score can be calculated as follows:
Z = (x - μ) / σ
= (415 - 400) / 10
= 1.5
From the Z-table, the area to the left of 1.5 is 0.9332.
Therefore, the area between 415 pounds and a mean of 400 pounds is:
0.9332 - 0.5 = 0.4332.
b. What is the area between the mean and 395 pounds?
The Z-score can be calculated as follows:
Z = (x - μ) / σ
= (395 - 400) / 10
= -0.5
From the Z-table, the area to the left of -0.5 is 0.3085.
Therefore, the area between the mean and 395 pounds is:
0.5 - 0.3085 = 0.1915.
c. What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds?
The Z-score can be calculated as follows:
Z = (x - μ) / σ
= (395 - 400) / 10
= -0.5
From the Z-table, the area to the left of -0.5 is 0.3085.
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Convert 42 to a base two
numeral
Juan has a profitable web business of selling T-shirts priced at $25 each. His demand is pretty steady throughout the year (his website is up and running 365 days a year), approximately normally distributed with a mean of 30 T-shirts/day and a standard deviation of 10 T-shirts/day. He has a supplier in China that charges him $5 per T-shirt T and a flat rate of $150 every time he places an order. Orders take exactly 50 days to arrive by container ship. His calculates his annual per unit holding costs at 20% of the wholesale cost of T-shirts. a) What type of inventory management problem is this? Explain your answer. i) Newsvendor (single period) model ii) EOQ model with continuous demand distribution 111) EOQ model with discrete demand distribution b) Calculate how many T-shirts he should order from his China supplier at a time. c) Calculate the level at which he should reorder T-shirts from China to experience at most a 10% chance of a stocking out. a T-shirts, Juan should place an order for d) Fill in: When inventory drops to more T-shirts.
Juan should order approximately 1,813 T-shirts from his China supplier at a time.
How to explain the informationThis inventory management problem can be categorized as the EOQ (Economic Order Quantity) model with continuous demand distribution. In this case, the demand for T-shirts is approximately normally distributed, and the EOQ model assumes a continuous demand pattern.
In order to calculate the optimal order quantity (EOQ), we can use the following formula:
EOQ = ✓((2 * D * S) / H)
where:
D = Annual demand (mean) = 30 T-shirts/day * 365 days/year = 10,950 T-shirts/year
S = Ordering cost per order = $150
H = Holding cost per unit = 20% of wholesale cost = 0.2 * $5 = $1
EOQ = ✓((2 * 10,950 * 150) / 1)
= ✓(3,285,000)
≈ 1,812.99
Therefore, Juan should order approximately 1,813 T-shirts from his China supplier at a time.
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Using the rate of Rs 105 per US Dollar, calculate
the US Dollars for Rs 21000.
Answer:
Hey Aryabd interested to talk with me. Come in comments.
The US Dollars for Rs 21000 would be 200 USD
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that the rate of Rs 105 per US Dollar,
We have to calculate the US Dollars for Rs 21000.
105 Rs = 1 USD
21000 Rs = x USD
Now the proportion can be;
105x =21000
x =21000 /105
x= 200 USD
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which fraction correctly represents 0.54
Answer:
27/50 is the fraction.
Step-by-step explanation:
What do you know about a triangle with an adjacent leg to hypotenuse ratio value of 0.839?
Step-by-step explanation:
Use soh cah toa to solve
it is cos(α)=.839
so the angle of α is 32.9653
Hope that helps :)
Trigonometric identity is cosine. And a is 32.965327740597°.
What are the trigonometric identities?
Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.
Given:
A triangle with an adjacent leg to hypotenuse ratio value of 0.839.
Assume the triangle is a right-angled triangle.
In the right-angled triangle,
the ratio of adjacent leg to hypotenuse is cosine.
So,
Cos(a) = Adjacent leg/Hypotenuse
Cos(a) = 0.839
a = Cos⁻¹(0.839)
a = 32.965327740597°
Therefore, angle measure of a is 32.965327740597°.
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1) 1/3(x+3)+1/6=1/2(x-1)-(x-3)
Answer:
x= 8/5
Step-by-step explanation:
Let's solve your equation step-by-step.
1
3
(x+3)+
1
6
=
1
2
(x−1)−(x−3)
Step 1: Simplify both sides of the equation.
1
3
(x+3)+
1
6
=
1
2
(x−1)−(x−3)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−1(x−3)(Distribute the Negative Sign)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−1x+(−1)(−3)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−x+3
(
1
3
)(x)+(
1
3
)(3)+
1
6
=(
1
2
)(x)+(
1
2
)(−1)+−x+3(Distribute)
1
3
x+1+
1
6
=
1
2
x+
−1
2
+−x+3
(
1
3
x)+(1+
1
6
)=(
1
2
x+−x)+(
−1
2
+3)(Combine Like Terms)
1
3
x+
7
6
=
−1
2
x+
5
2
1
3
x+
7
6
=
−1
2
x+
5
2
Step 2: Add 1/2x to both sides.
1
3
x+
7
6
+
1
2
x=
−1
2
x+
5
2
+
1
2
x
5
6
x+
7
6
=
5
2
Step 3: Subtract 7/6 from both sides.
5
6
x+
7
6
−
7
6
=
5
2
−
7
6
5
6
x=
4
3
Step 4: Multiply both sides by 6/5.
(
6
5
)*(
5
6
x)=(
6
5
)*(
4
3
)
x=
8
5
The perimeter of a square is 28 cm. Find its area and the length of its diagonal.
help me
Step-by-step explanation:
area: 28/4=7
7x7=49
diagonal=square root 7²+7²
9.89949
9.90
hope it can help you
Which expression is the result of factoring the expression below by taking out its greatest common factor? 16x^2-8x=? Choose 1 answer: A. 8(2x-1) B. 8(2x^2-x) C. 8x(2x-1) D.8x(2x^2-x)
Answer:
I think it is A
Step-by-step explanation:
if the diameter of a circle is 124 centimeters, then what is the radius.
Answer:
radius = 62 cm
Step-by-step explanation:
radius = diameter/2
radius = 124/2 = 62 cm
Answer:
the radius 62
Step-by-step explanation:
the radius is really just the diameter split in half.
So, 124/2 = 62
I NEED HELP
Please write the right answer
Your portfolio must include a minimum of the following five types of equations and solutions:
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable. Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!
This is a total of 7 equations and solutions.
Answer:
1). (x - 4 = 13)
2). (r + 17 = 51)
3). (7/9x =28)
4). (2/3x = 2)
5). { 3(x-2) = -9 }
6). (x -1.75 = 8.85)
7). Natalie buys organic almonds priced at $77 from the grocery store. How much did
she pay the cashier, if she received $23 in change?
Step-by-step explanation:
1. add 4 on both sides and it will be x=17
2. subtract 17 on both sides and it will be x= 34
3. multiply 9/7 on both sides and it will be x= 257/7 then you divide 257 by 7 then the final answer will be x= 36
4. multiply 3/2 on both sides and it will be x=6/2 then you divide 6 from 2 and the finial answer will be x= 3
5. you will distribute 3 into x and 2 and you will be 3x-6=-9 then you will add 6 on both sides so you will get 3x=3 and then divide 3 on both side so you will get x=1
6. add 1.75 on both sides so x= 10.6
7. the equation will be 23 +x = 77 so first you will subtract 23 on both sides and x will equal 54 so Natalie paid $54
Answer:
i'm taking that test rn
Step-by-step explanation:
this is another question we cant figure out this is like multiple answers to it so yea pls help.
do it in your own answer
You believe that a corporation's dividends will grow 5% on average into the foreseeable future. If the company's last dividend payment was $5 what should be the current price of the stock assuming a 12% required return?
The calculated value of the current price of the stock is $75
How to calculate the current price of the stockFrom the question, we have the following parameters that can be used in our computation:
Growth = 5%
Required return = 12%
Last dividend payment = $5
The dividend is calculated as
D = Last dividend payment * (1 + Growth )
So, we have
D = 5 * (1 + 5%)
Evaluate
D = 5.25
the current price of the stock is calculated as
Price = D/(r - g)
So, we have
Price = 5.25/(12% - 5%)
Evaluate
Price = 75
Hence, the current price of the stock is $75
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Find the charge on the capacitor in an LRC-series circuit at t = 0.03 s when L = 0.05 h, R = 3.12, C = 0.008 f, E(t) = 0 V, 9(0) = 4 C, and i(0) = 0 A. (Round your answer to four decimal places.) 0.8630 хс Determine the first time at which the charge on the capacitor is equal to zero. (Round your answer to four decimal places).
At t = 0.03 s, the charge on the capacitor in the LRC-series circuit is 0.8630 C.
In an LRC-series circuit, the charge on the capacitor can be calculated using the formula Q(t) = Q(0) * e^(-t/(RC)), where Q(t) is the charge at time t, Q(0) is the initial charge on the capacitor, R is the resistance, C is the capacitance, and e is the base of the natural logarithm.
Given the values L = 0.05 H, R = 3.12 Ω, C = 0.008 F, E(t) = 0 V, Q(0) = 4 C, and i(0) = 0 A, we can substitute these values into the formula. Using the given time t = 0.03 s, we can calculate the charge on the capacitor.
Plugging in the values, we have Q(0.03) = 4 * e^(-0.03/(3.12*0.008)). Evaluating this expression gives us Q(0.03) ≈ 0.8630 C, rounded to four decimal places.
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HELPPP PLSSSS ASAPP What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(2,2) (-1,-4)
Answer:
2
Step-by-step explanation:
The formula to find the slope given 2 points is y2-y1/x2-x1. Now lets plug in the numbers. (2,2) is the first set of points and (-1,-4) is the second set of points. So we have -4-2/-1-2. We have -6/-3. Now we must simplify, giving us 2.
yo please help its for a grade!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
(1, 2.5 (or 3/2))
Step-by-step explanation:
It's the point the two lines meet
helppppppppppp meeeeeeeeeee
Answer:
It's 11.72
Step-by-step explanation:
Area=)1/2×15/4×25/4
Answer》11.72
Hope it helps...
Have a great day
Answer:
i have made it in above picture
What is (-49(49 x 5982+3)^2
Answer:
[tex] - 49 \times (49 \times 5982 + 3) {}^{2} \\ = - 49 \times 85919920641 \\ = - 4,210,076,111,409[/tex]
Help me please with this problem!!
Answer:
139°
Step-by-step explanation:
Corresponding angles theorem:
When a transversal line intersects two parallel lines, the angles formed from the intersection are congruent in pairs. For example with your problem, using the Corresponding Angles Theorem (one of the few theorems/postulates used to find angles on transversals), the angles are paired on the same place on the first parallel line as they are on the second. Since the corresponding pair of (x)° is given, the angle of x is given. (x)° = 139°
I've provided an image courtesy of tutors.com that will help remember corresponding angles for you.
A car dealership has 180 cars on their lot. If they increase their inventory by 25%, how many cars will be on the lot?
Answer:
There will be 225 cars on the lot.
A car dealership has 180 cars on their lot. If they increase their inventory be 25%, how many cars will be on the lot?
25/100 * 180
= 5 * 9 = 45
Therefore:
180 + 45 = 225 cars
Answer:
There will be 225 cars on the lot.
The test statistic of z = 2.58 is obtained when testing the claim that p = 0.85. Find the P-value. (Round the answer to 4 decimal places and enter numerical values in the cell)
Given z-score is z = 2.58 and the null hypothesis isH0: p = 0.85, where p is the true proportion, and we need to find the p-value.
We know that for a two-tailed test, the p-value is the probability that a z-score is greater than or equal to the absolute value of the calculated z-score or less than or equal to its negative value. So, the p-value for a two-tailed test is: p-value = P(z ≥ 2.58) + P(z ≤ -2.58) ..............(1) Here, z = 2.58 represents the upper critical value, and the negative of it is the lower critical value (z = -2.58)
As the given hypothesis is a two-tailed test, we need to calculate the probabilities for both critical values. From the standard normal distribution table, the probabilities for these critical values are:
P(z ≥ 2.58) = 0.0049 (approx.) P(z ≤ -2.58) = 0.0049 (approx.)
Substituting these values in equation (1), we get: p- value = 0.0049 + 0.0049 p-value = 0.0098Hence, the p-value is 0.0098 (approx.)
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