Answer:
let x=amt of pure copper to add:
12%*50+100%x=21%(50+x)
6+x=10.5+.21x
.79x=4.5
x=5.7
amt of pure copper to add: 5.7 kg
Step-by-step explanation:
how do i find the slope of y=-2/3x+3
Answer:
slope=2/3
Step-by-step explanation:
form is y=mx+b where m is the slope.
Convolutional fun Compute the convolution between a(t)=e−t/2u(t−1) and b(t)=rect(t−1). Be sure to indicate in your final answer the complete solution for every value of t.
The complete solution for every value of t is:
\(a \times b(t) =\) 0, for t < 1
2(e^(-t/2) - e^(-1/2)), for 1 ≤ t < 2
2(e^(-1/2) - 1), for t ≥ 2
To compute the convolution between the given functions, a(t) = e^(-t/2)u(t-1) and b(t) = rect(t-1), we can use the formula for convolution:
\(a \times b(t)\) = ∫[0 to t] a(τ)b(t-τ) dτ
First, let's break down the problem step by step:
Determine the limits of integration: Since both functions have a support starting from t = 1, the limits of integration will be from 1 to t.
Rewrite the functions within the limits of integration:
a(τ) = e^(-τ/2)u(τ-1)
b(t-τ) = rect(t-τ-1)
Apply the convolution formula:
\(a \times b(t) = \int[1 to t]\) e^(-τ/2)u(τ-1)rect(t-τ-1) dτ
Now, let's evaluate the integral for different intervals of t:
For t < 1:
The convolution will be 0 since both functions have a support starting from t = 1.
For 1 ≤ t < 2:
The integral can be simplified as:
\(a \times b(t)\) = ∫[1 to t] e^(-τ/2)rect(t-τ-1) dτ
= ∫[1 to t] e^(-τ/2) dτ
= 2(e^(-t/2) - e^(-1/2))
For t ≥ 2:
The integral can be simplified as:
\(a \times b(t)\) = ∫[1 to 2] e^(-τ/2)rect(t-τ-1) dτ + ∫[2 to t] e^(-τ/2)rect(t-τ-1) dτ
= ∫[1 to 2] e^(-τ/2) dτ + 0
= 2(e^(-1/2) - 1)
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Use Cramer's rule to compute the solution of the system.
7x1 + 3x2 + 2x3 = 8
-4x1 + 4x3 = 4
4x1 + 4x2 = 6
Using Cramer's rule, the solution of the given system of equations is x1 = 13/14, x2 = 11/7, and x3 = -19/14.
We can use Cramer's rule to solve the system of equations. First, let's find the determinant of the coefficient matrix
| 7 3 2 |
| -4 0 4 |
| 4 4 0 |
det(A) = 7(0-4) - 3(-4)(4) + 2(16) = -56
Now, let's find the determinant of the matrix obtained by replacing the first column of A with the constants on the right-hand side of the equations
| 8 3 2 |
| 4 0 4 |
| 6 4 0 |
det(A1) = 8(0-4) - 3(4)(4) + 2(16) = -52
Next, let's find the determinant of the matrix obtained by replacing the second column of A with the constants on the right-hand side of the equations
| 7 8 2 |
| -4 4 4 |
| 4 6 0 |
det(A2) = 7(4)(0) + 8(-4)(4) + 2(24) = -88
Finally, let's find the determinant of the matrix obtained by replacing the third column of A with the constants on the right-hand side of the equations
| 7 3 8 |
| -4 0 4 |
| 4 4 6 |
det(A3) = 7(0)(6) - 3(4)(4) + 8(16) = 76
According to Cramer's rule, the solution of the system is given by
x1 = det(A1)/det(A) = (-52)/(-56) = 13/14
x2 = det(A2)/det(A) = (-88)/(-56) = 11/7
x3 = det(A3)/det(A) = 76/(-56) = -19/14
Therefore, the solution of the system is x1 = 13/14, x2 = 11/7, x3 = -19/14.
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In parallelogram HIJK, the meſsure of angle H is 57 degrees. What is the
measure of angle K? Explain how you know. *
Your answer
Answer:
is 31
Step-by-step explanation:
cuz u have to divdie it to get your answer.
S is a subset within a universal set, U
If S = {x, y, 4, 9, ?}, which could
describe U?
U = {keys on a keyboard}
U = {letters}
U = {numbers}
U = {punctuation marks}
The solution is, U={ keys on a keyboard}, could describe U .
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
Here, we have,
S is a subset of U,
so all of the elements of S must be also elements of U
If U was {letters}, 4, 9, ? would not belong there
If U was {numbers }, x, y, ? would not belong to U
If U was {punctuation marks }, 4, 9, x, y would not be in U
all the elements of S are in U={ keys on a keyboard}
Answer: U={ keys on a keyboard}, could describe U.
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A runner completed a 26.2-mile
marathon in 210 minutes.
a. Estimate the unit rate, in miles per minute.
b. Estimate the unit rate, in minutes per mile.
c. Another runner says, “I averaged 10-minute miles in the
marathon.” Is this runner talking about the unit rate
described in part (a) or in part (b)? Explain your reasoning.
Step-by-step explanation:
The answer is: A=210÷26.2=8.2
B=now we have to turn minutes in to haurs 210:60=3.5 now 26.2÷3.5=29.7
Answer:
A) 26.2/210= .125 miles per minute
B) 210/26.2= 8.02 minutes per mile
C) the other runner talks about the same rate as b), not a).
Step-by-step explanation:
A)\(\frac{26.2}{210\\}\) and B)\(\frac{210}{26.2}\) :)
C)the runner was referring to the time they took to run one mile, so the other runner ran 10 minutes to cover one mile, or as they say, "10 minute miles", which is the rate in minutes per mile.
If they were referring to the rates in a), that would imply the other runner ran 10 miles per minute... which is very unlikely.
Required information [The following information applies to the questions displayed below.] Marathon Incorporated (a C corporation) reported $2,200,000 of taxable income in the current year. During the year, it distributed $220,000 as dividends to its shareholders as follows: - $11,000 to Guy, a 5 percent individual shareholder. - $33,000 to Little Rock Corporation, a 15 percent shareholder (C corporation). - $176,000 to other shareholders. (Leave no answer blank. Enter zero if applicable.) a. How much of the dividend payment did Marathon deduct in determining its taxable income? b. Assuming Guy's marginal ordinary tax rate is 37 percent, how much tax will he pay on the $11,000 dividend he received from Marathon Incorporated (including the net investment income tax)? c. What amount of tax will Little Rock Corporation pay on the $33,000 dividend it received from Marathon Incorporated (50 percent dividends-received deduction)? (Round your final answers to the nearest whole dollar amounts.)
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b) Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.
b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.
c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.
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What is the solution set for the inequality,
4 (x − 3) − 7x ≥ 6
The most appropriate choice for linear inequation will be given by
Solution set = {\(x \epsilon \mathbb{R}, x \leq 6\)}
What is linear inequation?
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by \(>\), \(<\), \(\geq\), \(\leq\) sign
A one degree inequation is known as linear inequation.
Here,
\(4(x - 3) - 7x \geq 6\\4x -12 - 7x \geq 6\\-3x -12\geq 6\\-3x \geq 6 + 12\\-3x \geq 18\\x \leq \frac{18}{3}\\x \leq 6\)
Solution set = {\(x \epsilon \mathbb{R}, x \leq 6\)}
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what is the constent
2x^2 +4x + 5
A. 2x^2 B. 4x C. 5 D.2
Answer:
I couldn't fuigure out the answer but here is a link that may help
Link:
https://brazosport.edu/Assets/faculty/agut-ioana/intermediate-algebra/33.%20Solving%20Quadratic%20Equations.pdf
help and explain//////////////////////////////////////////////
Answer:
(f + g)(x) = 5x - 3
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 2x + 4 + 3x - 7 ← collect like terms
= 5x - 3
Answer:
5x - 3
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 2x + 4 + ( 3x - 7 )
= 5x - 3
a good way to get a small standard error is to use a ________.
Answer: A good way to get a small standard error is to use a large sample.
Step-by-step explanation:
In order to find the small standard error, there is always need of a complete set which is called the large sample.
If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.
Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!
-From a 5th Grade Honors Student
PLEASE HELP!!
Wesley initially filled a measuring cup with 5/6 of a cup of syrup from a large jug. Then he poured 1/2 of a cup back into the jug. How much syrup remains in the measuring cup?
Answer:
2/6 or 1/3
Step-by-step explanation:
We start off with 5/6 of a cup of syrup in a measuring cup.
Then Wesley pours out 1/2 of the syrup in the measuring cup.
Our equation looks like this:
5/6 - 1/2 = ?
However, we can't use this equation because the denominators (6 & 2) aren't the same. So we will find the LCD (least common denominator).
Mulitiples of 6: 6, 12, 18, 24
Multiples of 2: 2, 4, 6, 8
6 is the LCD for the both of them.
Multiply 3 to the numerator and denominator of 1/2 (because to get from 2 to 6 using multiplication, you mulitiply 3)
1/2 x 3/3 = 3/6
Now we can substitue 3/6 into our original equation and solve it:
5/6 - 3/6 = 2/6
It's better to use the simplified answer, 1/3.
Hope it helps and good luck (●'◡'●)
Tim had 55% off all the baseball cards ever made by Bob's Publishing Company. If he has 960 cards, how many had Bob's Publishing Company made?
Answer:
The answer is 528..
Sandesh bought two books for Rs 480.He sold them to attain 19% profit on one and 15% loss on the other. Calculate his final gain or loss percent if the selling price of both watches is the same.
Answer:
answer = profit 14.166%
If if 1. 504 ÷ 4. 7 equals 0. 32 what is the value of 320 *
0. 7
The given information is that 1.504 ÷ 4.7 equals 0.32. We can use this information to solve for the value of 320 * 0.7.
Let's start by rearranging the given equation:
1.504 ÷ 4.7 = 0.32
Next, we can multiply both sides of the equation by 4.7 to isolate 1.504:
1.504 = 0.32 * 4.7
Simplifying the right side of the equation gives us:
1.504 = 1.504
This shows that the equation is balanced, meaning the values are equal. Therefore, we can conclude that the value of 320 * 0.7 is also 1.504.
Based on the given equation 1.504 ÷ 4.7 = 0.32, we can deduce that the value of 320 * 0.7 is 1.504.
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Obtuse triangle. Step 1: Suppose angle A is the largest angle of an obtuse triangle. Why is cosA negative? Step 2: Consider the law of cosines expression for a 2and show that a 2>b2+c2Step 3: Use Step 2 to show that a>b and a>c Step 4: Use Step 3 to explain what triangle ABC satisfies A=103 ∘,a=25, and c=30
CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.
Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.
Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.
Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.
Therefore, the largest angle of an obtuse triangle is opposite the longest side.
Step 4: In triangle ABC, A=103°, a=25, and c=30.
a² = b² + c² - 2bccos(A),
a² = b² + 900 - 900 cos(103),
a² = b² + 900 + 900 cos(77),
a² > b² + 900, so a > b.
Similarly, a² > c² + 900, so a > c.
Therefore, triangle ABC satisfies a>b and a>c.
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The Point class represents x,y coordinates in a Cartesian plane. Which line of code appears completes this operator which transforms a Point by dx and dy? (Members written inline for this problem.) class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return _________________________;}
The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.
The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`
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Find the value of x if ABC = DEF.
(If triangle ABC and triangle DEF are congruent)
Answer:
C. 75
Step-by-step explanation:
The answer is 75 because the interior angles of a triangle add up to 180 degrees. So, the steps in solving this equation are:
1. Add 45 and 60 together, when done it equals 105.
2. Since all interior angles add up to 180, you need to subtract 180-105
3. When done, it equals 75 degress.
P.S. and because both triangles are congruent, meaning equal or the same, you can just use the angle measurements from the top triangle and work from there.
Hope this was helpful!! :)
Two number cubes are rolled. Each number cube is labeled 1 through 6.
What is the probability that both number cubes will land on 1?
Step-by-step explanation:
Probabibility = 1/6 * 1/6 = 1/36 = 2.77%.
hello im a person
are you a person
NANI
Answer: i am a person
Step-by-step explanation:
Answer:
heloo
i am a person
or am I.
Please help me solve: 10(s+9)+3
Answer:
\(\huge\boxed{\sf 10s + 93}\)
Step-by-step explanation:
Given expression:= 10 (s + 9) + 3
Distribute 10 to s and 9= 10s + 90 + 3
Add 90 and 3= 10s + 93\(\rule[225]{225}{2}\)
Answer:
Step-by-step explanation:
10(s + 9) +3
10s + 90 + 3
10s + 90 +3
10s + 93
Solution 10s + 93
is x = 12 a solution to the equation 6 + x = 19
Answer:
Incorrect.
Step-by-step explanation:
6 + x = 19
Plug in when x = 12
6 + 12 = 19
18 = 19
It is incorrect, so 12 is not a solution.
Answer:
It is not a solution
Step-by-step explanation:
6 + x = 19
Substitute into the equation and see if it is true
6+12 = 19
18 =19
This is not true so it is not a solution
From standard 52-card deck how many 9-card hands consist of 3 spades and diamonds? There are possible 9-card hands consisting of 3 spades and diamonds
Answer:
6
Step-by-step explanation:
for this I simply divided that numbers and I got my answer as 5.77 and I turned as 6
Juan tried 16 free throw attempts playing basketball. He succeeded 9 times what is the experiential probability of not succeeding on his next attempt? write as a fraction
Answer:
The probability of not succeeding next attempt is 7/16
Step-by-step explanation:
Here in this question, we are asked to write the probability of not succeeding in the next attempt given that he attempted 9 success out of 16 trials.
To calculate this probability of not succeeding, we need to get it from the number of unsuccessful throws.
Thus, if 9 throws are successful out of 16, then the number of unsuccessful throws will be 16-9 = 7
So the probability of not succeeding on next attempt will be 7/16
Write the slope- intercept form of the equation of each line.
Answer:
y=-2/1 -5
Step-by-step explanation:
The y-intercept is -5 because the blue line goes through the y-axis at -5 and the slope is -2/1 because you take two points where the blue line goes through and perform the rise over run method to get the slope.
can someone please help me out??
answer: graph has to go through (0,-8) and (48/5,0)
explanation:
1. you need to solve the equation where x=0 so there we get y= -8
2. you need to solve the equation where y=0 so we get 5/6 x -8 =0
5/6 x = 8 /*6
5x = 48 /÷5
x= 48/5
Solve the following equation
6x - 2 = – 2 (-1 – 3x)
Answer: =4?
Step-by-step explanation:
You and your friend travel to Cuyahoga Valley National Park Your friend agrees to pay half the total cost of gas for the trip . The gas charges for the trip are $31 $16 and $ 41 How much money , in dollars , does your friend owe you ?
It is given that the friend agrees to pay half of the total cost of gas for the trip.
It is required to find the amount of money the friend is owing.
To do this, calculate the total cost of gas and evaluate half of it.
The total cost of gas is the sum of the gas charges given:
\(31+16+41=\$88\)Calculate half of the total cost:
\(\frac{1}{2}\cdot88=\$44\)It follows that the friend is owing $44.
The answer is $44.
Collin wanted to purchase a truck with four-wheel drive, a CD player, and a GPS. Since he had saved just enough for the base model without these features, he decided to buy the base model and forego getting a car loan. Which biblical principle did he follow?
Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.
A car loan is what?With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.
Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.
The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.
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The equation of a parabola is y=2x^2 +8x +3
Write the equation in vertex form and show your work.
Answer: y = 2(x + 2)² - 5
Step-by-step explanation:
We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.
Given:
y = 2x² + 8x + 3
Factor the 2 out of the first two terms:
y = 2(x² + 4x) + 3
Add and subtract \(\frac{b}{2} ^2\):
y = 2(x² + 4x + 4 - 4) + 3
Distribute the 2 into -4 and combine with the 3:
y = 2(x² + 4x + 4) - 5
Factor (x² + 4x + 4):
y = 2(x + 2)² - 5