Thomas lists all of the different arrangements of the letters in the word CABOOSE. How many of Thomas's arrangements begin with a C and end with an E?
(B) 120
If a b a♣︎b - a - b - 1, then what is the value of 284♣︎1001?
(A) 282435
What is the product of 4% of 112 and 61% of 375?
(D) 105
Josh rolls two standard six-sided dice. What is the probability that the product of the numbers shown on the dice is a multiple of six?
(C) 5/12
What is the remainder when the sum of the terms of the arithmetic series 101 108 + 115 + 290 is divided by 28?
(A) 7
Two right triangles have the same perimeter, and each triangle's side lengths are all whole numbers. One right triangle has legs of length 10 and 24. The other right triangle has a hypotenuse of length 25. What is the area of the second triangle?
(D) 144
A function f is defined for positive integers x as f(x) = 0 if x ≤ 2. Otherwise, f(x) = f(x - 1) if x is not divisible by 3, and f(x) = 2 + f (3) if x is divisible by 3. What is the value of f(2020)?
(B) 14
a fly lands on one wall of a room. the lower-left corner of the wall is selected as the origin of a two-dimensional cartesian coordinate system. if the fly is located at the point having coordinates (2.00, 1.00) m, (a) how far is it from the origin? (b) what is its location in polar coordinates?
It as 2.24m far from the origin. The location in polar coordinates is 26.6°.
The fly is located at the point having coordinates (2.00, 1.00) m
Cartesian and Polar Coordinates:
In the Cartesian system the coordinates are perpendicular to one another with the same unit length on both axes. A Polar coordinate system is determined by a fixed point, a origin or pole, and a zero direction or axis. Each point is determined by an angle and a distance relative to the zero axis and the origin.
If the cartesian coordinates of a point is given (x,y), the polar coordinates r,θ is given by the following relation
[tex]r^{2} =x^{2}+y^{2}[/tex]tanθ=[tex]\frac{y}{x}[/tex]Take the wall as the xy plane so that the coordinates are x=2.00m and y=1.00m; and the fly is located at point P.
The distance between two points in the xy plane is
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]
⇒d=[tex]\sqrt{(2-0)^{2}+(1-0)^{2} }[/tex]
⇒d=[tex]\sqrt{4+1} =\sqrt{5}[/tex]
⇒d=2.24 m
Therefore, 2.24m far from the origin.
(b).
⇒tanθ=[tex]\frac{y}{x}[/tex]
⇒θ=[tex]tan^{-1}(\frac{y}{x} )=tan^{-1}(\frac {1.00}{2.00})[/tex]
=26.6°
Therefore, the location in polar coordinates is 26.6°.
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Find the missing angles measurements
Please show work
m<6 = 125° ( m<4 & m<6 are corresponding angles)
m<5 = 180°-125° (angles on a straight line)
= 55°
m<8 = 125° (corresponding angles)
m<7 = 55° (angles on a straight line)
Find the volume of the solid obtained by rotating the region enclosed by the graphs x=y^4 and x= y^1/4 about the y-axis over the interval [0,1].
The volume of the solid obtained by rotating the region enclosed by the graphs [tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1] is 4π/7.
[tex]V = π ∫y^4 - y^1/4 dy[/tex]
= π ∫[tex]y^7/4 dy[/tex]
=[tex][4π/7*y^(7/4+1)]_0^1[/tex]
= [tex]4π/7[/tex]
To find the volume of the solid obtained by rotating the region enclosed by the graphs[tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1], we first use the formula for the volume of a solid of revolution: V = π ∫[tex]y^2 - y^1/4 dy.[/tex] Then, we rewrite the upper limit of the integral as [tex]y^7/4[/tex]and evaluate the integral from 0 to 1. This gives us the volume as 4π/7.
The volume of the solid obtained by rotating the region enclosed by the graphs [tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1] is 4π/7.
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what is the measurement of 7
Answer:
Step-by-step explanation:
The measurement of the angle 7 is,
[tex]5+6+7=180\\ 5+90+7=180\\58+90+7=180\\ 7=180-90-58\\ 7=32[/tex]
Therefore, the desired angle is 32.
how to write the product of 3 and b in an equation
An equation of product form of 3 and b is, 3b
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
Two terms,
3
And b
by multiplying both the terms,
⇒ 3 × b
⇒ 3b
Hence, the product is 3b
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A thermos in the shape of a cylinder will be filled with hot chocolate. If the thermos has a radius of 4 inches and is 12 inches tall, which formula could be used to find the number of cubic inches of hot chocolate needed to completely fill this thermos?
Answer:
Step-by-step explanation: by using the formula, volume of cylinder= πr2h
7√5-3√5 simplified fully
Answer:
4√5.
Step-by-step explanation:
Treat the surd (√5) as a variable:
7x - 3x = 4x
So, 7√5 - 3√5
= 4√5
Two airplane leave the ame airport. One head north, and the other head eat. After ome time, the northbound airplane ha traveled 12 mile, and the eatbound airplane ha traveled 16 mile. How far apart are the two airplane?
after their soccer game, isabella and her friends eat at their favorite restaurant, the dancing meatball. when the bill comes, they divide the cost of a meatball pizza evenly among 5 people. each person pays $3.25.which equation can you use to find the cost c of the pizza?
The equation that can be used to find the cost, c, of the pizza is c/5 = $3.25.
An equation is a mathematical statement that shows that two expressions are equal. Equations use an equals sign (=) to show that the values of the expressions on either side of the sign are equal.
Equations can include variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the value of the variable that makes the equation true.
If they divide the cost of a meatball pizza evenly among 5 people and each person pays $3.25, then we can write the equation as
c/5 = $3.25
where c is the cost of the pizza
Plugging in the known value of p = $3.25, we get: c = 5($3.25) = $16.25.
So the cost of the meatball pizza at the Dancing Meatball is $16.25.
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Need a little help thanks :)
The measure of the angle BCD is 60 degrees.
What is the measure of angle BCD?Ok, remember that the sum of the interior angles of a triangle is always equal to 180°.
And we can write the top angle at C as:
(5x + 10) + C = 180°
C = 180 - 5x - 10
Then the sum of the interior angles gives:
3x + 3x + (180 - 5x - 10) = 180
Now we can solve that for x to get:
6x -5x - 10 = 180 - 180
x - 10 = 0
x = 10
Then the measure of BCD is:
BCD = 5x + 10
BCD = 5*10 + 10 = 60
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Students in an undergraduate laboratory recorded the following counts in 1-min intervals from a radioactive source. The nominal mean decay rate of the source is 3.7 decays per minute.
Decays/min 0 1 2 3 4 5 6 7 8 9 10
Frequency of occurrences 1 9 20 24 19 11 11 0 3 1 1
a) Find the mean decay rate and its standard deviation. Compare the standard deviation to the value expected from the Poisson distribution for the mean value that you obtained.
b) Plot a histogram of the data and show Poisson curves of both the parent (the theoretical Poissonian distribution with the nominal mean decay rate) and the observed distributions.
A histogram of the data was plotted along with Poisson curves of both the parent and observed distributions.
a) The mean decay rate is 3.2 decays per minute and its standard deviation is 1.8 decays per minute. The standard deviation expected from the Poisson distribution for the mean value is 3.7 decays per minute, which is higher than the standard deviation obtained from the data.
b) The histogram and Poisson curves of both the parent and observed distributions can be seen in the figure below.
The mean decay rate of the source was found to be 3.2 decays per minute with a standard deviation of 1.8 decays per minute. The standard deviation was found to be lower than the value expected from the Poisson distribution for the mean value. A histogram of the data was plotted along with Poisson curves of both the parent and observed distributions.
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in a normal distribution with a mean of 40 what percentage of the scores would be above the mean? group of answer choices 0% 25% 50% 40%
The correct answer is option c. 50%;
50% of scores in a normal distribution are above the mean.
A normal distribution is symmetrical, which means that the mean, median, and mode are all equal and that the percentage of scores below the mean is equal to the percentage of scores above the mean.
For a normal distribution with a mean of 40, exactly half of the scores (50%) will be above the mean, and the other half (50%) will be below the mean. This is true for any normal distribution, regardless of the standard deviation or any other characteristic of the distribution.
In a normal distribution, the data is symmetrically distributed around the mean. This means that if the mean is represented by a line, the same number of data points will be on either side of the line.
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In the quadrilateral, m
m
m
m
A park, in the figure of a quadrilateral ABCD, has ∠C = 90°, AB = 9m, BC = 12 m, CD = 5 m, and AD = 8 m. The area is 65.49 m² ≈ 65.5m²
What is Pythagoras's theorem?A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem or Pythagoras' theorem. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides. The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side that faces the right angle, are equal when added together. This is written as a2 + b2 = c2 in the usual algebraic notation.Join BD in "BCD," and receive BC and DC.
In order to compute BD, we can use Pythagoras's theorem.
[tex]& \Rightarrow \mathrm{BD}=\sqrt{\mathrm{BC}^2+\mathrm{CD}^2} \\[/tex]
[tex]& \quad=\sqrt{12^2+5^2}=\sqrt{144+25}=13 \mathrm{~m}=\mathrm{BD}[/tex]
Area of triangle ABD
[tex]$ =\sqrt{\mathrm{s}(\mathrm{s}-\mathrm{a})(\mathrm{s}-\mathrm{b})(\mathrm{s}-\mathrm{c})} \text { (Heron's formula) } \\[/tex]
[tex]& \Rightarrow 2 \mathrm{~S}=9+8+13, \mathrm{~S}=\frac{30}{2} \\[/tex]
[tex]& \Rightarrow \mathrm{S}=15 \mathrm{~m} \\[/tex]
[tex]& \Rightarrow \text { Area of } \triangle \mathrm{ABD} \\[/tex]
[tex]& =\sqrt{15(15-9)(15-8)(15-13)} \\[/tex]
[tex]& =\sqrt{15 \times 6 \times 7 \times 2}=\sqrt{630 \times 2} \\[/tex]
[tex]& =6 \sqrt{1260}=35.49 \mathrm{~m}^2[/tex]
⇒ Area of Park = Quad ABCD
= 30+35.49
= 65.49 m² ≈ 65.5m²
The complete question is:
A park, in the shape of a quadrilateral ABCD, has ∠C = 90°, AB = 9m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy?
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which of the three organizational forms – projectized, matrix, or functional – is most suited for aligned project accountability and authority, and for rapid reaction to customer needs?
matrix organizational is most suited for aligned project accountability and authority, and for rapid reaction to customer needs
The true statement about a matrix organizational structure is that In a strong matrix organizational structure, the project manager controls the project budget and has moderate to high authority.
What is matrix organizational structure ?
A matrix organizational structure can be regarded as workplace format where by, employees will be reporting to two or more managers.
This system involves two managers overseeing every aspect of a project.
For instance, an employee could report to primary manager as well as other managers.
matrix organizational is most suited for aligned project accountability and authority, and for rapid reaction to customer needs
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a stem-and-leaf diagram is constructed by separating each value of a data set into two parts. what are these parts?
A stem-and-leaf diagram separates each value of a data set into two parts: the stem and the leaf.
The stem is the first part of the number, typically the largest place value, and it is used to group similar values together. The leaves are the last part of the number, typically the smallest place value, and they provide the specific values within each group.
For example, consider a data set with the values 15, 19, 10, 11, 15. In a stem-and-leaf diagram, the stem for these values would be 1 and the leaves would be 5, 9, 0, 1, and 5, respectively.
The stem-and-leaf diagram would then look something like this:
1 | 0 1 5 5 9This format allows for a quick visualization of the distribution of the data and can be useful for identifying patterns and relationships within the data set.
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true or false: if u is mean independent of educ , then the average level of ability is the same regardless of the level of education.
False. If the mean of "u" (unobserved ability) is independent of education, it only means that the average level of ability is not affected by the level of education. It does not imply that the average level of ability is the same for all levels of education.
In economics, "u" is often used to represent unobserved ability or talent, which can affect an individual's income or job performance. If the mean of "u" is independent of education, it means that the average level of ability is not affected by the level of education, i.e., the mean of "u" is the same for all individuals regardless of their level of education.
However, it does not imply that the average level of ability is the same for all levels of education.
For example, individuals with higher levels of education may have higher levels of "u" on average, due to factors such as better access to resources, more opportunities for learning and development, or self-selection of individuals with higher levels of "u" into higher levels of education.
In such a case, the mean of "u" would still be independent of education, but the average level of ability would not be the same for all levels of education.
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David gave 1/5 of his money to charity, 1/3 of it to his mom and shared the rest of it among his 4 sisters equally. If he had $2,640, how much does each of his sisters get?
Answer:
$352
Step-by-step explanation:
David Gave 1/5 of his money to charity
$2640 / 5 = $528
$2640 - $528 = $2112
1/3 of it to his mom
$2112 / 3 = $704
$2112 - $704 = $1408
He shared the rest of it among his 4 sisters equally
$1408 / 4 = $352
So, each of his sisters get $352
anyone know this ?im stuck on the answer
Answer:
F, M, J
Step-by-step explanation:
Prove: VUTS is a parallelogram.
(Write a paragraph proof. (4 points)
The paragraph proof to show that VUTS is a parallelogram is as shown below.
How to express Paragraph proof?Generally for parallelograms we know that;
A) If any one pair of opposite side is congruent and parallel, then the quadrilateral is parallelogram.
B) If two pair of opposite sides are parallel then it is a parallelogram.
Thus, the paragraph proof is as follows;
ΔSVX ≅ ΔUTX Given
SV // TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
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Can someone please help me with this aleks question
Answer: [tex]ST=27[/tex]
Step-by-step explanation:
[tex]RU=\sqrt{29^2 -21^2}=20\\\\SU=\sqrt{52^2 -20^2} \implies ST=\sqrt{52^2 -20^2}-21 =27[/tex]
Find the binomial that completes the factorization. 40v3w+135w=5w 4v2–6v+9
The complete binomial expression
40v³w + 135w = 5w {(2v + 3) ((4v² - 6v +9)}
What is Cubic equation?Cubic equations are polynomials of degree3. That means the maximum degree of polynomial is three.
And the standard form of cubic equation is;
f(x) = ax³ + bx² +cx +d, where a, b, c and d are constant coefficients a ≠ 0.
Given:
An expression,
40v³w + 135w = (_) 5w(4v² - 6v +9)
To find the missing value:
Simplifying,
40v³w + 135w
= 5w (8v³ + 27)
= 5w {(2v)³ + (3)²}
= 5w {(2v + 3) ((4v² - 6v +9)}
Therefore, the missing expression is (2v + 3).
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Help me please i am a dumdum
Step-by-step explanation:
then let's change that. you don't want to stay a dumdum, right ?
midpoint. what does that mean ? it is the point exactly in the middle between 2 other points.
what does that mean to be in the middle between 2 other things ?
well, it means that the distance is the same to both other things. otherwise it would not be the middle.
therefore,
4.
QS = 56 ft
exactly the same distance as PQ.
PS = PQ + QS
because Q is the point in the middle between P and S.
it is really that simple.
5.
the line segment PQ is bisected (cut in half) by the line segment MN at point R.
so, we know what the intersection of PQ and MN did to PQ (cut PQ in half). but this does not tell us what it did to MN. it could be also one of the ends of MN that cut PQ in half. we simply don't know.
therefore, we cannot say anything about the midpoint of MN.
and therefore the first 2 answer options are not generally correct. they COULD be correct, but they could be also wrong. therefore they are mathematically and logically not a true statement per se. for that the statement needs to be true unconditionally = in all possible cases.
R is the midpoint of PQ. yes, correct. that's what is meant by being bisected or cut in half at that point.
since the 3rd answer option is correct, the 4th answer option (none of these) is incorrect.
A um of money wa wa divided between Mary and Donal. Mary fot 5/8 of the money and Donal got the ret. If Donal got 2. 40 how much did mary get
The amount of money received by Mary based on the mentioned information is 4.
Let the total amount of money be x. So, the amount received by Mary = 5/8x. The amount received by Donal = x - 5/8x
Performing subtraction on Right Hand Side of the equation
The amount received by Donal = (8x - 5x)/8
The amount received by Donal = 3x/8
Now, the amount received by Donal is 2.40. Size equating the two values -
3x/8 = 2.40
3x = 2.40 × 8
Performing multiplication on Right Hand Side of the equation
3x = 19.2
x = 19.2/3
Performing division on Right Hand Side of the equation
x = 6.4
Amount received by Mary = 5×6.4/8
Performing multiplication
Amount received by Mary = 32/8
Performing division
Amount received by Mary = 4
Thus, Mary received 4.
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what percent of the days did it rain in april
For every two-dimensional set C contained in R^2 for which the integral exists, let Q(C)=∬c(x^2+y^2dxdy)
If C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1} C2 ={(x,y):−1≤x≤1,−1≤y≤1} and C3 = {(x,y):x^2 + y^2 ≤1}, find Q (C1), Q(C2), Q (C3)
The values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
The concept of the integral is a fundamental part of calculus and it is used to calculate the area under a curve or the volume of a 3-dimensional object. In this context, we will be exploring the integral of a two-dimensional set in the R^2 plane.
For every two-dimensional set C contained in R^2 for which the integral exists, the function Q(C) is defined as the double integral of the function (x^2 + y^2) over the set C. The double integral is a mathematical tool for finding the total volume under a surface.
Let's consider the three sets C1, C2, and C3 and find Q(C1), Q(C2), and Q(C3).
C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1}
Q(C1) = ∬C1 (x^2 + y^2) dxdy = ∫^1_{-1}∫^1_{-1} (x^2 + y^2) dxdy = ∫^1_{-1} [(x^2 + y^2)/2]^1_{-1} dx = 4.
C2 ={(x,y):−1≤x≤1,−1≤y≤1}
Q(C2) = Q(C1) = 4.
C3 = {(x,y):x^2 + y^2 ≤1}
Q(C3) = ∬C3 (x^2 + y^2) dxdy = π.
In conclusion, the values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
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Evaluate the expression 42+6⋅52−33÷32 4 2 + 6 · 5 2 - 3 3 ÷ 3 2 .
The value of the expression 42+6⋅52−33÷32 is 352.96
What is Expression?An expression is combination of variables, numbers and operators.
Remember the order of operations rules.BODMAS: parentheses first, then exponents, then multiplication, then division, then addition and subtraction is last.
= 42+6⋅52−33÷32
multiply first
= 42 + (6*52) - 33 ÷ 32
= 42 + 312 - 33 ÷ 32
division second
= 42 + 312 - 1.03125
addition next
= 354 - 1.03125
subtraction last
= 352.96875
Hence, the value of the expression 42+6⋅52−33÷32 is 352.96
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To find the area I times the two sides together
The area of a rectangle is calculated by multiplying its two sides together. This is because a rectangle is a shape with four straight sides, and the area of a rectangle is the amount of space inside the rectangle.
What is the rectangle ?A rectangle is a four-sided shape with four right angles and four equal sides. It is a type of quadrilateral, which means it has four sides. Rectangles are the most common type of shape and can be found in many areas of life, from art to architecture and engineering. Rectangles are sometimes referred to as geometric shapes and are used to define and measure space.
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The complete question is: How do you find an area with two sides?
Andre ometime mow lawn on the weekend to make extra money. Two week
ago, he mowed a neighbor’lawnfor hour and earned$10. Lat week, he mowed
hi uncle’ lawn for hour and earned$30. Thi week, he mowed thelawn of a
community centerfor 2 hour and earned$30. Which job paid better than other? Explain your reaoning
Mowing Andre's uncle's lawn paid better than the other two jobs.
The job that paid better compared to the others is mowing Andre's uncle's lawn. He earned $30 for 1 hour of work, which is more than the $10 he earned for mowing a neighbor's lawn for 1 hour or the $15 he earned each hour for mowing the community's lawn for 2 hours.
The thinking behind this is basic. The rate of pay for mowing Andre's uncle's lawn was higher than the rate of pay for the other two jobs.
This is still up in the air by isolating the sum earned by the number of hours worked.
For the uncle's lawn, the rate was $30/1 hour = $30 each hour.
For the neighbor's lawn, the rate was $10/1 hour = $10 each hour. Furthermore, for the community center's lawn, the rate was $30/2 hours = $15 each hour.
Therefore, Mowing Andre's uncle's lawn paid better compared to the next two jobs.
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how to do well on byu calculus bc explorations
In order to do well on BYU Calculus BC Explorations, you should have a solid understanding of the basic principles of calculus.
This includes understanding derivatives and integrals, as well as the fundamental theorem of calculus. Additionally, it is important to have a strong background in basic algebra and trigonometry, as these skills will be necessary for working with functions and equations. When solving problems, it is important to read the problem carefully and identify what type of calculus concept is being asked for. Once the concept is identified, you can use formulas and calculations to solve the problem. By working through problems in a systematic and logical way, you can make sure that you arrive at the correct answer.
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Complete question:What is the best way to do well on BYU Calculus BC Explorations?
Jodie wanted to match Mandy's obstacle course record of 68.2 seconds. She had already spent forty and one fourth seconds on wall climbing and 12.84 seconds on the ropes. How much time did she have left to match the record?
12.20 seconds
15.11 seconds
53.09 seconds
55.36 seconds
