Answer:
34%
Step-by-step explanation:
Dime = 10 cents, 10% of a dollar
Penny = 1 cent, 1% of a dollar
3 dimes = 30% of a dollar
4 pennies = 4% of a dollar
30% + 4% = 34%
Use the Inclusion-Exclusion Principle to solve the following: Find the number of positive integers less than 10001 that are divisible by 3 or 5 (or both). Be sure to clearly specify your sets of interest.
There are 4667 positive integers less than 10001 that are divisible by 3 or 5 (or both).
To solve this problem using the Inclusion-Exclusion Principle, we will define the sets of interest and apply the principle to count the desired integers.
Let's define the sets:
A = {positive integers less than 10001 that are divisible by 3}
B = {positive integers less than 10001 that are divisible by 5}
We want to find the number of positive integers that are divisible by 3 or 5 (or both), which is essentially the union of sets A and B.
Using the Inclusion-Exclusion Principle, we can express the cardinality of the union of sets A and B as follows:
|A ∪ B| = |A| + |B| - |A ∩ B|
Now let's calculate the cardinalities of sets A and B.
For set A (positive integers divisible by 3):
The largest positive integer less than 10001 that is divisible by 3 is 9999.
To find the number of positive integers divisible by 3, we divide 9999 by 3 and round down to the nearest whole number:
|A| = ⌊9999/3⌋ = 3333
For set B (positive integers divisible by 5):
The largest positive integer less than 10001 that is divisible by 5 is 10000.
To find the number of positive integers divisible by 5, we divide 10000 by 5 and round down to the nearest whole number:
|B| = ⌊10000/5⌋ = 2000
Now let's calculate the cardinality of the intersection of sets A and B.
For set A ∩ B (positive integers divisible by both 3 and 5):
To find the number of positive integers divisible by both 3 and 5, we divide 10000 by the least common multiple of 3 and 5, which is 15, and round down to the nearest whole number:
|A ∩ B| = ⌊10000/15⌋ = 666
Now we can substitute these values into the Inclusion-Exclusion Principle formula:
|A ∪ B| = |A| + |B| - |A ∩ B|
= 3333 + 2000 - 666
= 4667
Therefore, there are 4667 positive integers less than 10001 that are divisible by 3 or 5 (or both).
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Please help me on my assignment I have to do it before taking the test
Answer:
26
Step-by-step explanation:
w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26
there are 4 triangles and 20 squares what is the simplest ratio of triangles to squares
Answer: 4:20 but that simplified would be 1:5
Triangles to squares
Mason compares two plans for an online book club. Which equation can be used to solve for the number of books, b, for which the cost of Plan A equals Plan B?.
Answer:
12b=3b+75
Step-by-step explanation:
Answer:
12b=3b+75
Step by step equation
if s.p.=rs210,profit percent =8%c.p.=rsx and find cp
A jazz concert brought in $153,500 on the sale of 7,500 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
The number of $15 tickets is
Answer:
the answr is 87 jistg ebcaujse
Step-by-step explanation:
3,500 tickets were sold for $15 each and 4,600 tickets were sold for $25 each.
Let x be the number of $15 tickets and y be the number of $25 tickets.
We know that:
x + y = 7,500 (the total number of tickets sold)
15x + 25y = 153,500 (the total amount of money made from ticket sales)
We can use the first equation to express y in terms of x:
y = 7,500 - x
We can substitute this expression of y into the second equation:
15x + 25(7,500 - x) = 153,500
Solving for x:
15x + 25(7,500) - 25x = 153,500
15x + 187500 - 25x = 153,500
-10x = -34,000
x = 3400
Therefore, 3,400 tickets were sold for $15 each and 7,500 - 3,500 = 4000 tickets were sold for $25 each.
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michael has a drawer with 8 pairs of black socks and 12 pairs of white socks. without looking he takes a white pair of socks out of the drawer. what is the probability that the next pair he takes out is white?
The Probability that the next pair Michael takes out is black = 8 / 19
What is Probability?
Probability is deals with "occurrence of Random event. The value is expressed from 0 to 1".
According to the question,
Total number of pairs of socks = 8 + 12 =20
Probability of taking pairs of black socks, P(B )= 8 / 20
Probability of taking pairs of white socks, P(W) = 12 / 20
But after taking Black pair socks the total number socks = 19.
Hence, the Probability of taking Black pair socks from drawer is 8 / 19 .
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1
Laura checked her outdoor thermometer and noticed that the temperature rose from 31 degrees in the morning to 45
degrees in the afternoon. What is the approximate percent increase for the day so far?
O The percent increase is approximately 31%.
The percent increase is approximately 45%.
O The percent increase is approximately 68%.
O The percent increase is approximately 82%.
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Find the slope of the line. Write your answer in simplest form.
Answer:
Slope = -3/5
Step-by-step explanation:
slope (m) = y2 - y1 / x2 - x1
m = -2 - 1 / 1 - -4
m = -3 / 1 + 4
m = -3 / 5
You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)
Answer:
-3/5
Step-by-step explanation:
The line is y=-3/5x-1.4
Which graph shows the solution for d?
Answer:
is there a picture????
-2x + y = -4
Need help asap
Answer:
y = 2x - 4
Step-by-step explanation:
Can I ask which variable you are solving?
PS I will assume you need the formula y=mx+b
-2x + y = - 4
Here you would translate the m and x variables to the right side making them positive.
y = 2x - 4
Now the formula is in proper form
Hey :)
If you are solving for x, the answer is: x = y/2 + 2
-2x + y = -4
Subtract y from both sides
−2x = −4 − y
The equation is in standard form:
−2x = − y −4
Divide both sides by −2:
-2x/-2 = -y - 4/-2
Dividing by −2 undoes the multiplication by −2
x = -y -4/-2
Divide −4 −y by −2
x = y/2 + 2
However, if you are solving for y, the answer is: y = −4 + 2x
−2x + y = −4
Add 2x to both sides:
y = −4 + 2x
Hope this helps!
A jet travels 2301 miles against the wind in 3 hours and 2811 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind
Answer:
The rate of the jet in still air is 852 miles per hour. The rate of the wind is 85 miles per hour.
Step-by-step explanation:
Let suppose that jet travels uniformly, that is, at constant speed, the expressions for its travels against the wind and with the wind are, respectively:
Against the wind
\(v -u = \frac{\Delta x_{1}}{\Delta t_{1}}\)
With the wind
\(v +u = \frac{\Delta x_{2}}{\Delta t_{2}}\)
Where:
\(v\) - Speed of the jet in still air, measured in miles per hour.
\(u\) - Speed of wind, measured in miles per hour.
\(\Delta x_{1}\), \(\Delta x_{2}\) - Distances travelled by jet against the wind and with the wind, measured in miles.
\(\Delta t_{1}\), \(\Delta t_{2}\) - Times against the wind and with the wind, measured in hours.
By adding both expressions:
\(2\cdot v = \frac{\Delta x_{1}}{\Delta t_{1}}+\frac{\Delta x_{2}}{\Delta t_{2}}\)
\(v = \frac{1}{2}\cdot \left(\frac{\Delta x_{1}}{\Delta t_{1}} + \frac{\Delta x_{2}}{\Delta t_{2}} \right)\)
Given that \(\Delta x_{1} = 2301\,mi\), \(\Delta t_{1} = 3\,h\), \(\Delta x_{2} = 2811\,mi\) and \(\Delta t_{2} = 3\,h\), the speed of the jet is:
\(v = \frac{1}{2}\cdot \left(\frac{2301\,mi}{3\,h}+\frac{2811\,mi}{3\,h} \right)\)
\(v = 852\,\frac{mi}{h}\)
The rate of the jet in still air is 852 miles per hour.
Lastly, the rate of the wind is:
\(u = \frac{\Delta x_{2}}{\Delta t_{2}}-v\)
\(u = \frac{2811\,mi}{3\,h}-852\,\frac{mi}{h}\)
\(u = 85\,\frac{mi}{h}\)
The rate of the wind is 85 miles per hour.
Three spheres each with charge Q uniformly distributed through its volume Rank the spheres according to the magnitude of the electric field they produced at point P (greatest firstl P (1) (2) (3) Select one: a. 3 > 2 > 1 b. all tie c. 1>2>3 d. 1 and 2 tie > 3 e. 2 > 3 >1
The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.
Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.
Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:
Sphere 1 produces the greatest electric field at point P since it is the closest to it.
Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.
Sphere 3 produces the smallest electric field at point P since it is the farthest from it.
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Calculate minimum and maximum frequency for acoustic
and optic mode.
( short question (
The specific range depends on the material properties and the energy levels involved.
The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.
Acoustic Mode:
The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.
The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.
The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.
Optic Mode:
The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.
The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.
The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.
It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.
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Gina wants to make pumpkin pies for a Thanksgiving dinner. Thanksgiving. You need 8.8 pounds of squash and each pound it costs $0.93. How much will you spend
To calculate how much Gina will spend on squash for making pumpkin pies, we can multiply the required weight of squash by the cost per pound.
Weight of squash = 8.8 pounds
Cost per pound = $0.93
Total cost = Weight of squash * Cost per pound
= 8.8 * $0.93
= $8.16
Therefore, Gina will spend approximately $8.16 on squash for making pumpkin pies for Thanksgiving dinner.
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How many minutes will it take josia to skateboard Togo's friend Sebastian's house which is 3 miles from school, if he travels at the same rate he did from his house to school?
Select the correct answer from each drop-down menu.
Answer:
Domain is Set of all real numbers
Step-by-step explanation:
1. Domain : It is the set of values for which our function is defined and it gives some value of f(x) for every value of x in it.
Answer:
2x+5+[6/(x+4)]
r(x)=6 and q(x)= 2x+5
Step-by-step explanation:
(2x^2)+13x +26)/(x+4) =
2x+5+[6/(x+4)]
r(x)=6 and q(x)= 2x+5
using polynomial calculator
the apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.
The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.
A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A fully closed polygon is a flat, two-dimensional form with straight sides. They must have straight sides. Any number of sides can be found in polygons.
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Rachel, adam, michelle, hannah, and james are going to the movies. They have $65 to spend on tickets and snacks. Each movie ticket costs $9. 50, and each snack item costs $4. 50. How many snacks can they buy to split among them?.
The number of snacks they can buy to split among them is 3.
Rachel, Adam, Michelle, Hannah, and James are going to the movies. They have $65 to spend on tickets and snacks. Each movie ticket costs $9.5, and each snack item costs $4.5. We need to calculate the number of snacks they can buy.
Let the number of snacks they can buy be represented by the variable "n". The total money is $65. The amount of money left after buying movie tickets for all the people is calculated below.
C = 65 - 5*9.5
C = 65 - 47.5
C = 17.5
Hence, they have $17.5 to spend on snacks. The number of snacks they can buy is determined by the ratio of the money left to the price of each snack.
n = 17.5/4.5
n = 3.89
They can buy the snacks in whole numbers. Hence, the number of snacks they can buy is 3.
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kelvin makes a map of his apartment using a coordinate system with yards as the units. the point (-9, 8) represents the main entrance of the apartment and the point (-5, 6) represents the location of the kitchen. approximately how far apart are the main entrance and the kitchen?
So, approximately, the main entrance and the kitchen are 4.47 yards apart by distance equation.
The distance formula is used to calculate the distance between two points in a coordinate plane. The formula is based on the Pythagorean theorem and involves finding the square root of the sum of the squares of the differences in the x-coordinates and the y-coordinates of the two points.
In this case, we are given two points: (-9, 8) and (-5, 6). To find the distance between these two points, we can plug the coordinates into the distance formula, which gives us:
distance = √[(x2 - x1)² + (y2 - y1)²]
where x1 and y1 are the coordinates of the first point and x2 and y2 are the coordinates of the second point.
Plugging in the given coordinates, we get:
distance = √[(-5 - (-9))² + (6 - 8)²]
which simplifies to:
distance = √[4² + (-2)²]
The square of 4 is 16, and the square of -2 is also 4 (since the negative sign is squared away), so we can simplify further:
distance = √[16 + 4]
distance = √[20]
Finally, we take the square root of 20 to get the distance:
distance ≈ 4.47 yards.
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What is -3/4 + 2 3/4
please help determine if these are functions and explain why or why not
Answer:The first is a function but the second isn’t.
Step-by-step explanation: The numbers in the first circle (domain) should only point to one number in the second circle (range). Meaning the domain should only have one arrow for it to be a function. Therefore the first problem is a function, but the second problem is not. For
example, in the first problem, the 0 is only pointing to one number, the 2. However, in the second problem the 6 is pointing to two different numbers, the 3 and the 5. -Let me know if this helps you or if you want me to explain it more. Hope this helps! :)
Discuss four applications of the capital asset pricing model (CAPM). (8 marks) Dzikunze Manufacturing Limited is considering to raise an extra Sh.10 million in order to finance an expansion programme. The company's current capital structure is given as follows: Additional information: 1. The company is considering raising the funds using two alternative financing options namely: Option t: To raise all the funds through the issue of new ordinary shares at par. Option II: To raise half of the funds through the issue of new ordinary shares at par and the balance through the issue of new 12% debentures at par. 2. The corporation tax rate is 30 s. Required: (i) Earnings belore interest and tax (FB|T) at the point of indifference in company's earnings for each financing option. (8 marks).
Capital asset pricing model (CAPM) Applications of Capital Asset Pricing Model (CAPM) are as follows;The most important application of CAPM is in the calculation of the cost of equity.
CAPM is used by financial analysts and investors to determine the appropriate rate of return for individual stocks and portfolios. CAPM is also useful in determining the required rate of return for capital projects. By calculating the cost of equity capital, companies can make better investment decisions by determining which projects will yield the greatest return on investment.
CAPM can be used in the valuation of assets, such as stocks, real estate, and other investments. Finally, CAPM is useful in evaluating risk.
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(ANSWER ASAP) Solve the inequality.
Answer:
Step-by-step explanation:
k ≤ -3-8 subtract 8 from both sides
k ≤ -11
the solution is the area to the left of a vertical line trough the point x= -11 and includes thhe line
Please help
Charles correctly answered 23 questions on a test receiving a grade of 92% how many questions where on the test
Answer:
25
Step-by-step explanation:
Cross multiply
23/x=92/100
x=25
There were approximately 25 questions on the test.
To determine the number of questions on the test, we can set up a proportion based on Charles' correct answers and the grade received.
Let x be the total number of questions on the test.
We can set up the proportion:
23 (Charles' correct answers) / x (total number of questions) = 92% (grade as a decimal: 0.92)
This can be written as:
23 / x = 0.92
To solve for x, we can multiply both sides of the equation by x:
23 = 0.92 * x
Dividing both sides by 0.92:
23 / 0.92 = x
x ≈ 25
Therefore, there were approximately 25 questions on the test.
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-10x-6y=-56 vvvvvvvvvvvvvvvvvv
Answer: x intercepts: (28/5, 0) y intercepts: (0,28/3)
Step-by-step explanation: substitute y and x for 0 and solve for x. :)
what is 3 times 34 divided by 2 plus 8 times 5
Answer: 91
Step-by-step explanation: 3 times 34 is equal to 102... let us work out the problem together.
3 x 34 = 102
now we must divided 102 by 2 which will equal 51
Now the final step is to do 8 times 5
8 times 5 = 40
51 plus 40 = 91
this is the correct way to do the equation.
so our final answer is 91
Fill in the blanks to solve the word problem.
Answer:
Step-by-step explanation:
Step 5=x+x-2=-148
2x-2=-148
2×=-148+2
2x=-146
2×÷2=-146÷2
X=-73
Step 6 .No 1=73
No.2=75
336,765=3,14×0.55×(l+0.55) please help
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
P = y² + 2z find the value of P if y = 3 and z = -4
Answer:
\(P = {y}^{2} + 2z \\ = {3}^{2} + 2( - 4) \\ = 9 - 8 \\ \color{red} \boxed{P =1}\)
Answer:
P = 1
Step-by-step explanation:
P = \(y^{2}\) + 2 (-4)
P= \(3^{2}\) + -8
P = 9 + -8
P = 1
Hope this helps!