Answer:
B.
Step-by-step explanation:
For an expression to be a polynomial , it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
Answer:
B
Step-by-step explanation:
if x is a continuous random variable then p(x=a)
For a continuous random variable x, the probability of x taking on a specific value a is zero. This is due to the infinite number of possible values that x can take on within its range.
In the case of a continuous random variable, the probability density function (PDF) describes the likelihood of x taking on different values. Unlike discrete random variables, which can only take on specific values with non-zero probabilities, a continuous random variable can take on an infinite number of values within a given range. Therefore, the probability of x being equal to any specific value, such as a, is infinitesimally small, or mathematically speaking, it is equal to zero.
To understand this concept, consider a simple example of a continuous random variable like the height of individuals in a population. The height can take on any value within a certain range, such as between 150 cm and 200 cm. The probability of an individual having exactly a height of, say, 175 cm is extremely low, as there are infinitely many possible heights between 150 cm and 200 cm.
Instead, the probability is associated with ranges or intervals of values. For example, the probability of an individual's height being between 170 cm and 180 cm might be nonzero and can be calculated using integration over that interval. However, the probability of having an exact height of 175 cm, as a single point on the continuous scale, is zero.
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Oliver is buying equipment for his restaurant. He can buy two blenders for $396 or three blenders for $479. Find which deal has the best unit price per blender, then record the best unit price!
Hence, the deal of $\(479\) is best unit price per blender.
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
Oliver is buying equipment for his restaurant. He can buy two blenders for $\(396\) or three blenders for $\(479\).
So,
Oliver buying two blenders at $\(396\) so the cost of one blender is
i.e., \(\frac{396}{2}=198\)$
Oliver buying two blenders at $\(479\) so the cost of three blenders is
i.e., \(\frac{479}{3}=159\)$
Hence, the deal of $\(479\) is best unit price per blender.
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Which of the following expressions is equivalent to the one shown below?
OA. 5.-11
OB. (-11)
14
OC.
(-11)
D. (-11)
145
The expression that is equivalent to (-11/15)⁵ is (-11)⁵/(15)⁵
Indices expressionGiven the expression as shown below
(-11/15)⁵
This expression means that we are to raise the value -11 and 14 raised to the power of 5 individually as shown:
(-11/15)⁵ = (-11)⁵/(15)⁵
Hence the expression that is equivalent to (-11/15)⁵ is (-11)⁵/(15)⁵
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g a finite well always has at least one bound state. why does the argument of exercise 38 fail in the case of a finite well?
The wavelength of a particle in a finite well can be very large, allowing it to extend into the classically forbidden region outside the barriers. This means even a small potential barrier can hold the particle, resulting in at least one bound state.
A finite well always has at least one bound state, meaning that even a small potential barrier can hold a particle. This is because the wavelength of the wave extends into the classically forbidden region outside the barriers on both sides of the well, leading to a very large wavelength.
According to the formula λ = hp, a larger wavelength corresponds to a smaller momentum. As kinetic energy is directly proportional to momentum, a smaller momentum means a larger kinetic energy. Thus, even a small potential barrier can hold the particle. The argument of fails in the case of a finite well because of the wave's extended wavelength.
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--The given question is incomplete, the complete question is given
" A finite well always has at least one bound state. Why does the argument of fail in the case of a finite well?
In the case of the finite well, the wave extends into the classically forbidden region on the outside of the barriers on both sides of the well, so its wavelength can be very large."--
Larry spent 25% less buying his English reading book than Curly Moe spent 10% less than Curly Moe spent more than Larry by what percent? Moe spent more than Larry
Let's break down the information step by step to find the percent by which Moe spent more than Larry.
Larry spent 25% less buying his English reading book than Curly.
Moe spent 10% less than Curly.
Let's assume Curly spent $100 on the book.
Larry spent 25% less than Curly:
Larry's spending = Curly's spending - 25% of Curly's spending
Larry's spending = $100 - 0.25 * $100
Larry's spending = $100 - $25
Larry's spending = $75
Moe spent 10% less than Curly:
Moe's spending = Curly's spending - 10% of Curly's spending
Moe's spending = $100 - 0.10 * $100
Moe's spending = $100 - $10
Moe's spending = $90
Now, let's calculate the percent by which Moe spent more than Larry:
Percent difference = (Moe's spending - Larry's spending) / Larry's spending * 100
Percent difference = ($90 - $75) / $75 * 100
Percent difference = $15 / $75 * 100
Percent difference = 0.2 * 100
Percent difference = 20%
Therefore, Moe spent 20% more than Larry on the English reading book.
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Note that 3 is a factor of 21. This means that 3×[]=21. Another way to write this is 3×n=21. Find a value of n that makes the statement true.
Answer:
n=9
Step-by-step explanation:
\(3*9=21\)
2a^(2) – (4b + c); a = –3, b = –2, and c = 1
Answer:
= 25
Step-by-step explanation:
2 (-3)^2 - (4(-2) + 1)
2 (9) - (-8 + 1)
18 - (-7)
25
An expression is a combination of numbers, variables, and functions such as addition, subtraction, multiplication or division, etc.
The value of the expression 2a² - ( 4b + c ) is 25.
What is an expression?An expression is a combination of numbers, variables, and functions such as addition, subtraction, multiplication or division, etc.
We have,
2a² - ( 4b + c ) ______(1)
a = -3, b = -2 and c = 1
Substitute a, b, and c in (1)
= 2 x (-3)² - ( 4(-2) + 1 )
= 2 x 9 - ( -8 + 1 )
= 18 - ( -7 )
= 18 + 7
= 25
Thus the value of the expression 2a² - ( 4b + c ) is 25.
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what is the probability of rolling 15 with a pair of dice? answer in likely, unlikely, equally likely, or impossible
it is clearly impossible
It is impossible that the probability of rolling 15 with a pair of dice.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Required the probability of rolling 15 with a pair of dice.
But we know that in the roll of a pair of fair dice,
Then the sample space is as follows:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
Hence, It is impossible that probability of rolling 15 with a pair of dice.
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The radius of a circle is 18 ft. Find its circumference in terms of
�
π.
Answer:
Circumference = 36π
Step-by-step explanation:
The formula for circumference is C = πd, where
C is the circumference,and d is the diameterWe know that the diameter is simply 2 * the radius, so the diameter of the circle is 36 cm as 2 * a radius of 18 cm = 36 cm.
To find the circumference in terms of π, we simply multiply 36 and π, but don't simplify, approximate, etc.
Thus, the circumference in terms of π is C = 36π
Amanda is cooking a turkey for dinner. The recipe says that the turkey should cook for
1 1/2. She has been cooking the turkey for 25 minutes. According to the recipe, how many more minutes does the turkey need to cook?
Answer:
87 minutes
Step-by-step explanation:
Assuming 1 1/2 is 112, take 25 away from 112
find the value 2x-18=y when x=-10
Answer:
y=-38
Step-by-step explanation:
First we have to put the x value in
2(-10)-18=y
-20-18=y
-38=y
byron is 5cm taller than aaron, but 10cm shorter than caron. darren is 10cm taller than caron, but 5cm shorter than erin. which of the following statements is true?
Byron is 5cm taller than Aaron, but 10cm shorter than Caron. Darren is 10cm taller than Caron, but 5cm shorter than Erin. We are asked to determine which of the following statements is true.
To solve the problem, we can start by setting up a system of equations based on the given information.
Let a represent Aaron's height, and we can express the other heights in terms of a. Then, we get:
Byron's height = a + 5
Caron's height = a + 15
Darren's height = a + 25
Erin's height = a + 30
Now, we can see that the difference in height between Byron and Caron is 10cm. Therefore, we can write:
(a + 5) - (a + 15) = 10
Simplifying this equation gives:
-10 = -10
This is true, so we know that our equations are consistent with the given information.
Next, we can compare Darren's height to Erin's height. We are told that Darren is 5cm shorter than Erin. Therefore, we can write:
(a + 25) - (a + 30) = -5
Simplifying this equation gives:
-5 = -5
In conclusion, we can see that the information given in the problem is consistent, and we have used it to set up a system of equations. We can also see that Darren is shorter than Erin, so the true statement is: "Erin is taller than Darren."
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(2x−5)(2x−1) delta math
Answer:
I think this answer helps you.Step-by-step explanation:
I hoped this helpful Thank youThe function gives the cost to manufacture x items. C(X) - 30,000 + 10x + 50,000 X 100 Find the average cost per unit of manufacturing h more Items (ie, the average rate of change of the total cost) at a production level of x, where x is as indicated and h = 10 and 1. (Use smaller values of h to check your estimates.) HINT (See Example 1.1 (Round your answer to two decimal places.) 10 1 ave Estimate the instantaneous rate of change of the total cost at the given production level X, specifying the units of measurement C (100) -Select-
Here we can use given cost function C(x) = 30,000 + 10x + 50,000/x. By calculating the difference in total cost when x increases by h units and dividing it by h, we can determine average rate of change of total cost.
The given cost function is C(x) = 30,000 + 10x + 50,000/x, where x represents the production level. To find the average cost we can calculate the difference in total cost when x increases by h units and divide it by h.
For h = 10, the average rate of change of the total cost would be (C(x+h) - C(x))/h. Plugging in the values, we get (C(x+10) - C(x))/10 = [30,000 + 10(x+10) + 50,000/(x+10) - (30,000 + 10x + 50,000/x)]/10.
For h = 1, we can similarly calculate (C(x+1) - C(x))/1 = [30,000 + 10(x+1) + 50,000/(x+1) - (30,000 + 10x + 50,000/x)]/1.
To estimate the instantaneous rate of change of the total cost at a specific production level, such as x = 100, we can take the derivative of the cost function C(x) with respect to x. . For example, to find C'(100), we would differentiate C(x) = 30,000 + 10x + 50,000/x with respect to x and evaluate it at x = 100.
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6.) Below is Jan's Venn diagram she created after sorting the shapes from her
Shape bucket. Based on this Venn diagram, how did Jan sort her shapes? What
are the labels for the circles? Justify your answer using complete sentences.
a.
b.
Answer:I believe this answer is they did not have enough troops to attack the USSR
Step-by-step explanation:
I
5. Oshaunda buys a car that costs $21,000. It depreciates at 8.2% per year. a. Write an equation for the value of the car. V=21,000(1-0.082) V-21,000(0.918) B. Oshaunda tries to sell the car 4 years later. What is the car worth when it is 4 years old? Hint: Use your formula for part (a), and plug in t = 4. Use GEMA to finish the math.
Answer:
a.
\(f(t) = 21000( {.918}^{t} )\)
b.
\(f(4) = 21000( {.918}^{4}) = 14913.86\)
8. What is the measure of an angle if it is 285 less
than four times its own complement?
Answer:
15°
Step-by-step explanation:
x = angle
Complement and x sum to 90° so the complement angle = 90 - x
x = 4 ( 90 -x) - 285
x = 360 - 4x - 285
5x = 75
x = 15°
The nth term of a sequence is n2 + 5 (a) (i) Find the first two terms of this sequence. (ii) Is 126 a term of this sequence? You must show how you get your answer
Answer:
126 is a term in the sequence. Please check my assumption on the correct formula.
Step-by-step explanation:
I will assume that n2 + 5 is actually n^2 + 5.
Starting with n=0, use the formula to calculate successive values of n. The attached table is the result of n from 0 to 22. At n=11, the result is 126, so 126 is a term in the sequence.
If the expression is actually n2 + 5, calculate the values for y = 2n + 5. 126 would not be a term in this sequence.
solve the inequality 5(2x+8)<60
Answer:
x < 2
Step-by-step explanation:
5(2x + 8) < 60 ( divide both sides by 5 )
2x + 8 < 12 ( subtract 8 from both sides )
2x < 4 ( divide both sides by 2 )
x < 2
Answer:
\(\huge\boxed{\bf\:x < 2}\)
Step-by-step explanation:
\(5(2x + 8) < 60\)
Multiply 5 by 2x & 8 in the right hand side of the inequality .
\(5(2x+8) < 60\\(5*2x) + (5*8) < 60\\10x + 40 < 60\\\)
Bring 40 to the other side of the inequality .
\(10x + 40 < 60\\10x < 60 - 40\\10x < 20\)
Bring 10 to the left side of the inequality .
\(10x < 20\\x < 20\div10\\\boxed{\bf\:x < 2}\)
\(\rule{150pt}{2pt}\)
A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
Answer:
y = -3/4x - 3
Step-by-step explanation:
...................
Answer:
A
Step-by-step explanation:
hope this helps :)
A rectangle has a length of 9 cm and width of (3x-y)cm the area of the rectangle is 72cm^2
PQRS is a kite where PQ = 4xcm and QR = ycm
The perimeter of the kite PQRS IS 33cm
Calculate the values of x and y
You must show your working
Do not use a trial and improvement method.
Answer:
the value of x ia 7/2 and y is 5/2
1. there are 18 mathematics majors and 325 computer science majors at a college. a) in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) in how many ways can one representative be picked who is either a
a) two representatives be picked in 5850 ways so that one is a mathematics major and the other is a computer science major. b) one representative be picked in 343 ways who is either a mathematics major or a computer science major.
Product Rule: If one event occurs in m ways and a second event occurs in n ways, the number of ways the two events occur in the sequence is m×n ways.
Sum Rule: If an event occurs either in m ways or in n ways (non-overlapping), the number of ways the event can occur is m+n ways.
according to the question,
Mathematics majors =18 and Computer science majors = 325
A. We need to use the product rule because the first event is picking up a Mathematics major and the second event is picking up a computer science major.
= 18 x 325
= 5850
B. Here sum rule is applicable because the event is picking up a mathematics major or a computer science major.
= 18 + 325
= 343
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(complete question)
there are 18 mathematics majors and 325 computer science majors at a college. a) in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) in how many ways can one representative be picked who is either a mathematics major or a computer science major.
In the Sample Range Chart, the value of Average Sample Range must be an integer. Select one: True False
The Average Sample Range in a Sample Range Chart, used for monitoring process variability, is always an integer. The given statement is true.
What is a sample range chart?
A sample range chart is a type of control chart that is used to track the variability of process data that has been collected in subgroups.
The sample range is defined as the difference between the highest and lowest values in the subgroup.
This chart is used to monitor the variability of a process over time.
When we consider a sample range chart, the average sample range is calculated by adding up all the sample ranges and then dividing the total by the number of subgroups.
The average range is an estimator of the process variation or the standard deviation.
Since the sample range is an integer, and the average range is calculated by taking the mean of the sample ranges, the value of the average sample range need must be an integer.
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The surface area of a swimming pool is 395 square feet. Find the
measure of the area in square meters.
NEED HELP GRAPHING I HAVE ALL THE ANSWERS JUST NEED A GRAPH
Find the slope and y-intercept of the following line.
Graph the line.
y = 5x-8
A. The slope is 5.
What is the y-intercept of the line? (0,-8)
Use the graphing tool to graph the line. Use the slope
and y-intercept when drawing the line.
Answer: See below for the graph
The graph is a straight line through (0,-8) and (1,-3)
======================================================
Further explanation:
You have the correct y intercept. This is where the graph crosses the y axis.
From this starting point, move up 5 units and to the right 1 unit. This motion of "up 5, right 1" is directly from the slope of 5 aka 5/1
slope = rise/run = 5/1
rise = 5 = how far you go up
run = 1 = how far you move to the right
So if we started at (0,-8) and moved up 5, right 1, then we would arrive at (1,-3)
Once these two points are plotted together, we can draw a straight line through them as you see below. I used GeoGebra to make the graph, but you could use Desmos (or similar) if you prefer.
The transformation from the function f(x) = 3X to the function f(x)= 3x+4 indicate
Determine the Rankine-Hugoniot condition, based on conservation of mass, for the speed of a shock for the equation ut+u2ux=0. (b) Solve the initial value problem u(0,x)={a,b,x<0,x>0, when (i)∣a∣>∣b∣, (ii) ∣a∣<∣b∣. Hint: Use Exercise 2.3.15 to determine the shape of a rarefaction wave.
(a). The speed of the shock wave can be determined by setting [u]s = 0.
(b). The initial value problem u(0,x)={a,b,x<0,x>0 has been solved.
(a) To determine the Rankine-Hugoniot condition for the speed of a shock, we consider the conservation of mass across the shock wave.
The given equation is:
ut + u^2ux = 0
The Rankine-Hugoniot condition for the conservation of mass is: [u]s = 0
where [u]s represents the jump in fluid velocity across the shock wave.
In this case, the equation is already in conservative form, so we can directly apply the Rankine-Hugoniot condition. Therefore, the speed of the shock wave can be determined by setting [u]s = 0.
(b) Now let's solve the initial value problem u(0, x) = {a, b} for two cases:
(i) |a| > |b|:
In this case, we have a shock wave. The solution will consist of a shock wave moving to the right with velocity s.
(ii) |a| < |b|:
In this case, we have a rarefaction wave. To determine the shape of the rarefaction wave, we can use Exercise 2.3.15, which involves solving the characteristic equations for the given PDE.
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Susan spent fifty dollars of the $250 she had in her savings account. What
percent of her money was still in the bank?*
Answer:
80%
Step-by-step explanation:
4. because we are using a coin flip app, this experiment really tests only that app inventor's random integer block generates 1 around half the time. is this a sufficient test for app inventor's prng? what other experiments might you do to increase your confidence in app inventor's prng?
App inventor's random integer block test is sufficient for app inventor's prng . but to increase our confidence in app inventor's prng we can do other tests like random fraction test and random set speed test.
The Coin Flip Experiment app allows you to run experiments aimed at determining how "good" the App Inventor PRNGs are. The app allows the user to "flip a coin" her N times and the results are displayed. They should record and count the results and calculate the average head percentage. The expectation of should reach 50% on average as N increases.
To properly test an App Inventor PRNG, you must test both the Random Integer and Random Fraction blocks along with the Random Fraction and Random set speed to blocks. Create dice simulations to get better than 50/50 predictions and reuse dice simulators for all combinations of different App Inventor random blocks. If such a combination yields the same results, then you can be confident that her PRNG in App Inventor provides a good model of randomness from all angles.
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10 more than w is equal to 40 what is the expression
Answer:
w + 10 = 40
Step-by-step explanation:
10 more than w is w + 10 is equal to 40 is =40
w + 10 = 40
Please mark as brainliest.
Answer:
10 + w = 40Step-by-step explanation:
10 more than w is equal to 40 what is the expression
10 + w = 40 is the expression
w = 40 - 10
w = 30 is the solution