The combination C(y,y) is equal to 1.
The formula for the number of combinations of n items taken r at a time is:
C(n,r) = n! / (r!(n-r)!)
In this case, we have:
C(y,y) = y! / (y!(y-y)!)
Since y - y = 0, we can simplify the expression to:
C(y,y) = y! / (y! * 0!)
And since 0! = 1, we can further simplify to:
C(y,y) = y! / y!
The y! term in the numerator and denominator cancel out, leaving us with:
C(y,y) = 1
Therefore, the combination C(y,y) is equal to 1.
5 × {10}^{10} / 2.54×
{10}^{ - 2034 } - 1.35 \times {10 }^{ - 3012 }
The simplified expression is approximately -1.35 × {2.54}^{2034} × {10}^{3012}.
What is the value of the expressionTo simplify this expression, we can first simplify the denominator by using the rule of exponents that states a^-b = 1/a^b:
2.54×{10}^{-2034} = 1/{2.54}^{2034}
Next, we can simplify the expression by multiplying the numerator and denominator by the reciprocal of the denominator:
5 × {10}^{10} / 2.54× {10}^{ - 2034 } - 1.35 *{10 }^{ - 3012 } = 5 × {10}^{10} × {2.54}^{2034} - 1.35 × {2.54}^{2034} × {10}^{3012}
Now we can factor out {2.54}^{2034} from both terms:
5 × {10}^{10} × {2.54}^{2034} - 1.35 × {2.54}^{2034} × {10}^{3012} = {2.54}^{2034} (5 × {10}^{10} - 1.35 × {10}^{3012})
We can simplify this expression further by noticing that {10}^{10} is much smaller than {10}^{3012}, so we can ignore it in the second term. This gives us:
{2.54}^{2034} (5 × {10}^{10} - 1.35 × {10}^{3012}) ≈ {2.54}^{2034} (-1.35 × {10}^{3012})
This expression is -1.35 × {2.54}^{2034} × {10}^{3012}.
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Some college advisors noticed the following breakdown of majors for the incoming freshman at their school: 3% math, 22% nursing, 16% psychology, 11% criminal justice, and 48% business. Suppose a first-year student was chosen at random. Which of the following is the probability distribution for that student’s major?
Answer:
The correct answer is B, I took the test :)
You just turn the percentages into decimals
The probability distribution table is formed clearly in the answer part.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The probability for all the elements in the sample space can be shown in one table known as distribution table.
Suppose X be the event of choosing a major.
Then, its probability can be given as P(X).
Here, the percent value of a given event is equivalent to their probability.
It can be represented in the form of table as,
X (Major chosen by student) P(X) (Probability)
Math 3% = 0.03
Nursing 22% = 0.22
Psychology 16% = 0.16
Criminal justice 11% = 0.11
Business 48% = 0.48
This table is known as the probability distribution table.
Hence, the probability distribution table is formed by calculating the probability for each of the events.
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x - 2y = - 7
3x + 2y = 3
Answer:
1. x = − 7 + 2 y
2. x = 1 − 2 y /3
Step-by-step explanation:
Answer: [1] x + 2y = 7
[2] 3x - 2y = -3
1 triangle ABC was dilated by a scale factor of 2 centered at the origin of the result was as image of triangle A'B'C shown on the coordinate plane below the vertices of triangle A'b'c' are -4,4 -4,6 and 2,4 what are the coordinates of the vertices ABC
Answer:
The coordinates of ABC are respectively (-2,2), (-2,3), and (1,2).
Step-by-step explanation:
Dilation About the Origin
Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).
If we are given the dilated point, then we can find the original point by dividing by the scale factor.
Triangle ABC was dilated by a scale factor of 2 about the origin mapping it to triangle A'B'C' with vertices A'(-4,4), B'(-4,6), and C(2,4).
The coordinates of triangle ABC are:
A=(-4/2,4/2) = (-2,2)
B=(-4/2,6/2) = (-2,3)
C=(2/2,4/2) = (1,2)
The coordinates of ABC are respectively (-2,2), (-2,3), and (1,2).
Answer:
The coordinates of ABC are (-2,2), (-2,3), and (1,2).
Step-by-step explanation:
i Must
Illustr
Mathe
E
DATE
PE
Consider a function q defined by q(x) = x2. Explain why negative valu
are not include in the range of q. (From Unit 4, Lesson 10.)
Answer:
Step-by-step explanation:
The simple short answer is because all real numbers are to be squared.
If any negative value is put into x^2, the value will become positive. That's because an even number of negatives are positive.
For example y = x * x
Let x = - 3
y = (-3)(-3)
y = 9 because there are an even number of negatives.
Notice that if break x^2 into x * x, you should see more clearly that each x is equal to - 3
Which graph shows an image and preimage after reflecting across y = -x ? *
Option 1
Option 2
Option 3
Option 4
The graph which correct shows an image and pre-image after reflecting across the line; y = -x as required in the task content is; Option 1.
Which answer choice represents an image and pre-image after a reflection across y = -x?It follows from the task content that the answer choice which correctly represents an image ajd pre-image after reflecting across the line; y = -x.
First it is noteworthy to know that the line; y = -x is one which passes through the origin and has a negative slope of; -1.
On this note, by observation; when the line y = -x is drawn; the graph which represents the image and pre-image after reflecting across the line; y = -x is; Option 1.
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Ex: You invested $1000 in a savings account. The account pays 5% annual interest.
How much will be in the account after 6 years?||
1
Answer:
I KNOW THE ANSWER ITS 5000
Step-by-step explanation:
SUB to sir sir bmgo
A three-way intersection is sometimes called a
T-intersection
Y-intersection
Both a and b
Neither a nor b
Answer:
Both A and B
Step-by-step explanation:
Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.
6a. Which store has the better deal on DVDs? Explain.
6b. How much money will Sheila save if she buys 20 DVDs at the store with the better deal than at the other store?
Store A Store B
2=6.30
3=9.45
4=12.60
The store that has a better deal on DVDs is Store A.
The amount more that Sheila will save from buying from the store with the better deal is $ 1.00.
How to find the store with the better deal?The store with the better deal is the store that has a lower price per unit of DVDs.
Price per unit of DVD in store A:
= Cost of DVD / Number of DVDs
= 9.45 / 3
= $3.15
Price per unit of DVD in Store B :
= 12.80 / 4
= $ 3.20
Store A therefore has the better deal and the amount that Sheila will save from 20 DVDs is :
= ( 3.20 x 20 ) - ( 3.15 x 20)
= $ 1.00
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Use commutative, then distributive. And explain how the properties were helpful in simplifying the expression.
ONLY ANSWER IF YOU KNOW THE ANSWER. SHOW ALL WORK
Answer:
8
Step-by-step explanation:
1 3/5=8/5
45*8/5*1/9=360/5*1/9=72*1/9=72/9=8
Alijah had a taxable income of $8450 and filed his federal income tax return with the Single filing status. Using the table below, find the amount he has to pay in taxes.
Single
Taxable income is over
8.350
33 950
82.750
171.550
372,950
But nat over
8,350
33.950
82,250
171.550
372.550
The tax is
Plus
50.00
835.00
4 675.00
16.750.00
41,754.00
108,216.00
10%
15%
25%
20%
33%
35%
Of the
amount over
50
8.350
33.950
82,250
171.550
372,850
O A. $835.00
• B. $850.00
O c. $2087.50
O D. $1252.50
Answer:
Step-by-step explanation:
67
Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.
Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.
This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.
He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.
Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.
Thus, looking at the provided options, option B ($850.00) would be the correct answer.
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Use the image to answer the question.
2
1
0
-1.2
What does the absolute value of the point labeled in the image mean if the number line represents temperature change?
O The temperature decreased 1.2 degrees.
O The temperature increased 1.2 degrees.
O There was no change in temperature.
Question 1(Answered)
L
The meaning of the absolute value in this problem is given as follows:
The temperature decreased 1.2 degrees.
What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.
The number for this problem is -1.2, hence:
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someone please help me and explain! :D
Answer:
Just take the longest worm length that has x's on it and subtract the shortest amount that has (a) x('s)
Step-by-step explanation:
1 1/2 - 3/4= 3/4
raheem ashraf is very cool
Answer:
who is raheem ashraf
Step-by-step explanation:
Answer:
hes not
Step-by-step explanation:
i dont know who that is
Don’t know the answer :(
Answer: angle x is 52°
Assuming the line JK is parallel to HI. That should be given.
Step-by-step explanation:
Angle JKA is congruent to angle HIA, so both measure 62°
Add measure of AHI to JKA.
66+62= 128.
Angles of a triangle always add up to 180° so you can subtract 128 from 180 to find x.
180-128= 52°
a number has the same digits in its hundreds place and it’s hundrthes place. how many times greater is the value of the digit in the hundreds place than the value of the digit in the hundreds place
In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.
How can the value of the digit can be calculated?The question can be interpreted that the particular number has the same digit which is seen in hundreds place hence hundredths place.
we can then represent the digit as '1'.
The value of number's hundreds place can be represented as 100
we can as well represent the number's hundredths place as 0.01
the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000
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missing options:
A. 100,00
B. 100
C. 1,000
D. 10,000
y/-2 = -34
giving brain.
Answer:
y=68
Step-by-step explanation:
Answer:
y = 68
Step-by-step explanation:
We have the expression y over -2 = -34 and are asked to solve or y.
To solve, we need to isolate for y :
y/-2 = -34
Multiply -2 from both sides :
\(\frac{y}{-2} *-2=-34*-2\)
\(y = 68\)
A greedy hamster hoarded two piles of sunflower seeds. Yesterday the ratio of seeds in these piles was 3:4, but today the greedy hamster placed another 2 pounds of seeds in the bigger pile. He also ate 1/4 pound from the smaller pile and now the quantities of seeds in those piles is in the ratio of 5:16. What was the weight of each pile yesterday?
The weight of the each pile yesterday would be 6 and 8 pounds.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
Yesterday the ratio of seeds in these piles was 3:4.
Let it be 3x and 4x.
If the 2 pounds of seeds is added in the bigger pile, then it become
4x + 2
He also ate 1/4 pound from the smaller pile, then
3x - 1/4
Now the quantities of seeds in those piles is in the ratio of 5:16.
So, 4x + 2 = 5x
3x - 1/4 = 16x
Solve;
So, 4x + 2 = 5x
2 = 5x - 4x
x = 2
The weight of the each pie would be
3x = 6 pound
4x = 8 pound
Hence, The weight of the each pile yesterday would be 6 and 8 pounds.
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-2(x+2)=1/4(-8x-4) how many solutions does this have
Answer:
It has no solutions.
-2(x+2)=1/4(-8x-4) \
You have to water it down like a normal equation.
-2x-4=-2x-1
& from here you can just tell it won't have any solutions since it is not equal.
Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5
Answer:
(b) -4.5
Step-by-step explanation:
Choosing the correct answer here is not the same as knowing what the correct value is.
EstimateYou know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.
You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...
-10 +√30 ≈ -10 +5.5 = -4.5
__
Additional comment
Of course, a calculator can tell you the value to the desired precision.
A semiconductor manufacturer produces devices used as central processing units in personal computers. The speed of the devices (in megahertz) is important because it determines the price that the manufacturer can charge for the devices. A boxplot for the speeds of 116 randomly selected devices is given below. Using only the boxplot, what is the approximate interquartile range of speeds
Answer:
\(IQR = 38\)
Step-by-step explanation:
Given
See attachment for box plot
Required
The interquartile range (IQR)
This is calculated using:
\(IQR = Q_3 - Q_1\)
On the second attachment, I identify the positions of Q1 and Q3 respectively;
\(Q_1= 662\)
\(Q_3 = 700\)
So:
\(IQR = 700 - 662\)
\(IQR = 38\)
The interquartile range is 38
Triangle ABC with vertices at A(−4, −4), B(8, 8), C(2, 6) is dilated to create triangle A′B′C′ with vertices at A′(−2, −2), B′(4, 4), C′(1, 3). Determine the scale factor used. 2 one half 4 one fourth
Answer: It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)
Step-by-step explanation: Dilated triangles are never congruent, only similar (unless the dilation factor is exactly 1).
The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,
A' = 2A
A'(8, -12) = 2×A(4, -6)
These facts are all you need to know to choose the correct answer (shown above).
Answer: 1/2
Step-by-step explanation:
I took the quiz!
Consider the function \(y=\sqrt{5x-5}+1\)
Which inequality is used to find the domain?
The inequality is used to find the domain of the given function is
5x-5 ≥ 0
What is a function?A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.
Given is function y = √(5x-5)+1, we have to find which inequality can be used to find the domain.
Since, the function is a square root function.
We know that,
The square root function is defined only for the positive values, including 0. i.e. the expression inside the square root must be greater than or equal to 0.
The expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :
5x-5 ≥ 0
Hence, the inequality is used to find the domain of the given function is 5x-5 ≥ 0
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Solve:
(√x + 2)(√x - 2) = 0
x = ?
Answer: x = 4
Step-by-step explanation:
(√x + 2)(√x - 2) = 0
√x*√x - 2√x + 2√x -4 = 0
x - 0 - 4 = 0
x = 4
Answer:
\(x=4\)
Step-by-step explanation:
(√x + 2)(√x - 2) = 0
√x × √x - √x · 2 + 2 · √x - 2 · 2 = 0
√xx - 2 × √x + 2 · √x - 4 = 0
√x^1+1 - 2 · √x + 2 × √x - 4= 0
√x² - 2 · √x + 2· √x - 4 = 0
x^2/2 - 2 × √x + 2 · √x - 4 = 0
x - 2· √x + 2 · √x - 4 = 0
x - 4 = 0
(x - 4) + 4 = 0
x - 4 + 4 = 0
x = 4
Write an ordered pair that is a solution to the equation of the line y=x+5
Answer:
(1,6)
(2,7)
(4,9)
(8,13)
Step-by-step explanation:
What percent of 2 is 32? If necessary, round your answer to the nearest tenth.
Answer:
Below
Step-by-step explanation:
32/2 x 100% = 1600 %
Solve for x and y:
Thanks for the help!
Answer:
x = 2
y = 15
Step-by-step explanation:
As the triangle is split with a line that is parallel to the base:
\(\implies x:6=6:18\)
\(\implies \dfrac{x}{6}=\dfrac{6}{18}\)
\(\implies x=\dfrac{6\cdot 6}{18}\)
\(\implies x=\dfrac{36}{18}\)
\(\implies x=2\)
Similarly:
\(\implies y:20=6 : (6+x)\)
\(\implies y:20=6:8\)
\(\implies \dfrac{y}{20}=\dfrac68\)
\(\implies y=\dfrac{6 \cdot 20}{8}\)
\(\implies y=\dfrac{120}{8}\)
\(\implies y=15\)
Answer:
x= 5.18
y= 16.97
Step-by-step explanation:
Solve Y first-
trigonometric theorems-
\(c^2 =a^2 + b^2\\\\b^2 =c^2 - a^2\)
\(y^2 =18^2-6^2 \\y^2 =324 - 36\\y^2= 288\\\sqrt{2} = \sqrt{288} \\ y=16.97\)
solve x-
20-16.97=3.03
x=5.18
(I'm not sure if the answers are correct. I tried my best. I was confused to solve x though. )
Answer 70 Points!
The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago.
The following table shows the approximate number of tiger gars living in the lake since 2016
This is an example of Exponential _________.
A. Decay
B. Growth
Answer:
Step-by-step explanation:
1:1.2 as a fraction pls tell me in one minute
Hello!
the answer is 83/100!
Hopefully this helps ^^
The scatterplot shows the average miles per gallon versus the age, in years, of a car.
A graph titled Fuel efficiency has age (years) on the x-axis, and miles per gallon on the y-axis. Points are at (1, 25), (2, 32), (3, 26), (4, 23), (5, 19), (6, 16), (7, 17), (8, 14), (9, 13), (10, 10).
If age was on the vertical axis and miles per gallon on the horizontal axis, how would the correlation change? Select all statements that would apply to the new correlation coefficient.
The sign would be the opposite.
The sign would remain the same.
It would have the same value.
It would become closer to 0.
It would become closer to 1.
(2 and 3) B,C
Answer:
The sign would remain the same.
It would have the same value.
ED2021
Answer: b&c
The sign would remain the same.
It would have the same value.