Answer:
the number of tomatoes he gathered for 3 days = 3 × x = 3x
Step-by-step explanation:
According to the question Stan gathered x number of tomatoes every single day for three days. The total number of tomatoes she gathered altogether can be calculated below.
The number of tomatoes she gathered daily = x
The number of tomatoes she gathered for 3 days will be the product of the daily number of tomatoes she gathered(x) and the number of days she gathered it(3).
Therefore,
the number of tomatoes he gathered for 3 days = 3 × x = 3x .
Or you could calculate the number of tomatoes she gathered for that 3 days by summing the number of tomatoes she had daily for that 3 days .
The firs day she gathered x number of tomatoes , the second day another x number and finally the last day another x number of tomatoes. Therefore,
x + x + x = 3x
There are six companies that sell and clean work uniforms. Their comble
revenues for the year are $4, 120,500. Two of the companies have combined annual revenues of $2,940,000. What market share do the four remaining companies have, to the nearest percent?
The market share of the four remaining companies is 29% to the nearest percent.
What market share do the four remaining companies have?The market share the four remaining companies have, to the nearest percent is calculated as follows;
The revenue of the other four companies is calculated as;
R = $4,120,500 - $2,940,000
R = $1,180,500
The market share of the four remaining companies is calculated as follows;
market share = ($1,180,500 / $4,120,500) x 100
market share = 28.65% ≈ 29%.
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Let K be field, let R = K[x₁,..., n] and let F₁ (₁,...,n), ..., Fm (x1,...,xn) € R. Show that F₁(k₁,..., kn) = 0 Fm (k₁,..., kn) = 0 for (k₁, ..., kn) € K" if and only if the ideal ICR generated by F₁,..., Fm is contained in the maximal ideal m CR generated by 1 - k₁, n - kn.
The ICR is contained in the maximal ideal mCR. For the converse, we need to show that if the ideal ICR is contained in the maximal ideal mCR, then F₁(k₁, ..., kn) = 0 and Fm(k₁, ..., kn) = 0 for (k₁, ..., kn) ∈ Kⁿ.
To show that F₁(k₁, ..., kn) = 0 and Fm(k₁, ..., kn) = 0 for (k₁, ..., kn) ∈ Kⁿ if and only if the ideal ICR generated by F₁, ..., Fm is contained in the maximal ideal mCR generated by 1 - k₁, ..., n - kn, we will prove both implications separately.
First, let's assume that F₁(k₁, ..., kn) = 0 and Fm(k₁, ..., kn) = 0 for (k₁, ..., kn) ∈ Kⁿ. We want to show that the ideal ICR is contained in the maximal ideal mCR.
Consider an arbitrary polynomial F in ICR. By definition, this means that F can be written as a linear combination of F₁, ..., Fm with coefficients from R. Thus, we can express F as:
F = a₁F₁ + ... + aₘFm,
where a₁, ..., aₘ are polynomials in R.
Now, substitute (k₁, ..., kn) into this polynomial equation:
F(k₁, ..., kn) = a₁F₁(k₁, ..., kn) + ... + aₘFm(k₁, ..., kn).
Since we assumed that F₁(k₁, ..., kn) = 0 and Fm(k₁, ..., kn) = 0, the right-hand side becomes:
F(k₁, ..., kn) = 0.
This implies that the polynomial F evaluated at (k₁, ..., kn) is equal to zero.
Now, consider the maximal ideal mCR generated by 1 - k₁, ..., n - kn. Any polynomial in this ideal can be expressed as a linear combination of (1 - k₁), ..., (n - kn) with coefficients from R.
Let G be an arbitrary polynomial in mCR. Then G can be written as:
G = b₁(1 - k₁) + ... + bₙ(n - kn),
where b₁, ..., bₙ are polynomials in R.
Substituting (k₁, ..., kn) into this polynomial equation:
G(k₁, ..., kn) = b₁(1 - k₁)(k₁, ..., kn) + ... + bₙ(n - kn)(k₁, ..., kn).
Expanding and simplifying the right-hand side:
G(k₁, ..., kn) = b₁ - b₁k₁ + ... + bₙn - bₙkn
= b₁ - b₁k₁ + ... + bₙn - bₙkn.
Since k₁, ..., kn are elements of the field K, the terms b₁k₁, ..., bₙkn are also elements of K. Therefore, G(k₁, ..., kn) is an element of K.
Combining the results from evaluating F(k₁, ..., kn) = 0 and G(k₁, ..., kn) ∈ K, we can conclude that if F is in ICR and G is in mCR, then F(k₁, ..., kn) = 0 and G(k₁, ..., kn) ∈ K.
This implies that the ideal ICR is contained in the maximal ideal mCR.
For the converse, we need to show that if the ideal ICR is contained in the maximal ideal mCR, then F₁(k₁, ..., kn) = 0 and Fm(k₁, ..., kn) = 0 for (k₁, ..., kn) ∈ Kⁿ.
Assume that the ideal ICR is contained in the maximal ideal mCR. This means that for any polynomial F in ICR, evaluating F at (k₁, ..., kn) results
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Can someone help me, please?
Answer: The slope is 2/3.
Step-by-step explanation: From (-1,6) to (-7,-3), the x goes up 6, and the y goes down 9. This makes the fraction -6/9. This would reduce to -2/3, but the direction the slop is headed is upwards to the right, meaning it's a positive slope.
make k the subject
2A= πK^2 +3t
Answer:
k = ± \(\sqrt{\frac{2A-3t\p}{\pi } }\)
Step-by-step explanation:
2A = πk² + 3t ( subtract 3t from both sides )
2A - 3t = πk² ( isolate k² by dividing both sides by π )
\(\frac{2A-3t}{\pi }\) = k² ( take square root of both sides )
± \(\sqrt{\frac{2A-3t}{\pi } }\) = k
when conducting a hypothesis test, the experimenter failed to reject the null hypothesis when the null hypothesis was really true. what type error was made? a. no error b. type i error c. type ii error d. measurement error
When the experimenter fails to reject the null hypothesis when the null hypothesis is really true, the option (c) type II error is made.
When conducting a hypothesis test, there are two possible errors that can occur: type I and type II errors. Type I error is the rejection of a true null hypothesis, while type II error is the failure to reject a false null hypothesis. In other words, a type II error occurs when the experimenter accepts the null hypothesis when it should have been rejected.
This can lead to a false conclusion that there is no significant difference or effect when there actually is. It is important to minimize both types of errors in hypothesis testing, but the type II error can be particularly dangerous as it can lead to missed opportunities for important discoveries.
Therefore, the correct option is (c) type II error.
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Simplify the following Boolean expressions showing your steps. 1. (A+B)′(C+D+E)′+(A+B)′ 2. AB+ABC+ABCD+ABCDE+ABCDEF
(A+B)′(C+D+E)′+(A+B)′ simplified to (A+B)′
AB+ABC+ABCD+ABCDE+ABCDEF simplified to AB
To simplify the expression (A+B)′(C+D+E)′+(A+B)′, we notice that both terms have the factor (A+B)′ in common. By factoring it out, we get (A+B)′[(C+D+E)′+1]. The term (C+D+E)′+1 can be simplified to 1, since any expression ORed with 1 evaluates to 1. Therefore, the expression reduces to (A+B)′.
The expression AB+ABC+ABCD+ABCDE+ABCDEF can be simplified by observing that each term contains the factor AB. By factoring out AB, we get AB(1+C+CD+CDE+CDEF). Similar to the previous step, the terms within the parentheses can be simplified to 1, resulting in AB(1), which is equivalent to AB.
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a small college has 500 freshmen, 400 sophomores, 350 juniors, and 300 seniors. administrators wish to conduct a survey of their students, and they find a simple random sample of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. the overall sample is:
The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.
To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.
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Find the measure of arc FD
Answer: 49 degrees
Step-by-step explanation:
Help someone I’ll give brainlist
Answer:
D
Step-by-step explanation:
Answer: I think B
Step-by-step explanation: Hope it helped! :)
ay - b = c solve for y
Answer:
\(Y=\frac{c}{a}-\frac{b}{a}\)
Step-by-step explanation:
Answer:
y=c+b/a (The a is under c+b)
Step-by-step explanation:
Add the b over to c.
ay=c+b
Now divide both sides by a, which will remove the a from y.
y=c+b/a
which is the distance between 1, -4 and 1, 18
Answer:
22
Step-by-step explanation:
cancel the 1 and add 18+4=22
A used car was bought for $15,000. When the car was new, it sold for
$25000. If the car depreciates exponentially at a rate of 6% per year, approximately
how old is the car?
Answer:
around 6.66 year old
Step-by-step explanation:
A card is selected to from a standard deck of 52 card what are the odds of selecting a red 9
The odds of selecting a red 9 is 1/26.
Probability of an event E is represented by P(E) can be defined as (the number of favorable outcomes) / (Total number of outcomes).
Given the total number of cards in a standard deck = 52
there can be only two red9 as one 9 from heart and one red from diamond.
So the number of outcome for red 9 =2
the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).
Therefore , The odds of selecting a red 9 is 1/26.
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simplify the following expression. 5.3x − 8.14 3.6x 9.8 a. -2.84x − 1.66 b. 8.9x 1.66 c. -2.84x 17.94 d. 8.9x 17.94
The simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.
To simplify the expression 5.3x - 8.14 / 3.6x - 9.8, we can first simplify the division by finding a common denominator for the fractions.
The common denominator for 3.6x and 9.8 is 3.6x * 9.8 = 35.28x.
Next, we can rewrite the expression using the common denominator:
5.3x * (35.28x/35.28x) - 8.14 * (35.28x/35.28x) / 3.6x * (35.28x/35.28x) - 9.8 * (35.28x/35.28x)
Simplifying further, we get:
(5.3 * 35.28x^2 - 8.14 * 35.28x) / (3.6 * 35.28x - 9.8 * 35.28x)
Now, we can simplify the numerator:
(187.584x^2 - 287.6672x) / (-6.8x)
Factoring out an x from the numerator, we have:
x(187.584x - 287.6672) / (-6.8x)
Finally, we can cancel out the x terms:
(187.584x - 287.6672) / -6.8
Therefore, the simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.
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Matt is going to see a hockey game. His ticket cost $25 plus he will pay $3 per food or drink item that he buys from the concession while there.
dont know what im supposed to answer but here:
if u want to find out how much it will cost just use this simple expression
(x=each food/drink item)
25+3x
A country can use all its resources to produce Product A and Product B. If you know the opportunity cost of
producing Product A in terms of Product B, how can you quickly determine the cost of Product B in terms of
product A? Explain in one to two sentences, using an example.
You can take the reciprocal of the opportunity cost of producing Product A in terms of Product B to determine the cost of producing Product B in terms of Product A,
To determine the cost of producing Product B in terms of Product A, you can take the reciprocal of the opportunity cost of producing Product A in terms of Product B.
If the opportunity cost of producing 1 unit of Product A is 2 units of Product B, then the cost of producing 1 unit of Product B would be 1/2 unit of Product A.
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Which of the following lines has an x-intercept of –1 and a y-intercept of -3?
Answer:
C
Step-by-step explanation:
The x - intercept is when the line intersects the x-axis, and of the choices, you can see that B and C intersect at -1, which means that A and D cannot be the answer.
The y-intercept is when the line intersects the y-axis, and of B and C only B intersects the y-intercept at -3, so that means C is the answer
At the end of the day, the team deflates the balloons. When a balloon is being deflated, the volume of air in the balloon, y, is a function of the time in minutes, z. One of the balloons loses 300 cubic meters (m³) of air every 3 min. After 10 min, the balloon has 500 m³ of air. How many cubic meters of air does the balloon lose per minute? Find the rate of change
The cubic meters of air does the balloon lose per minute is 100 m³/min . And rate of change derived from the given question is 100 cubic meters.
Let us proceed and start by denoting the rate of alteration of volume of air in the balloon as r.
Given from the question one of the balloons loses 300 cubic meters of air every period of 3 min.
the rate of alteration of volume of air in balloon is -300/3 = -100 m³/min
After an interval of 10 minutes, the balloon has 500 m³ of air.
Let us consider x then
x = Vo + r x t
where,
Vo = initial volume of air in the balloon
t = time in minutes.
y = Vo+ r x t
500 = Vo + (-100) x 10
500 = Vo - 1000
Vo = 1500
Therefore, the initial volume of air in balloon was 1500 m³.
Given the balloons loses -100 m³/min.
then, it loses 100 m³/min .
The cubic meters of air does the balloon lose per minute is 100 m³/min . And rate of change derived from the given question is 100 cubic meters.
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6. If WXYZ is a square with WZ = 27, find each measure.
X
a) ZY =
b) WY =
c) RX =
d) m2 WRZ
e) mZXYZ -
f) mZZWY =
z
Multiples of five between 35 and 85
Answer:
Multiples of 15: 15,30,45,60,75,90... Multiples of 15 between 35 and 85 are 60,75.
Step-by-step explanation:
your answer is 35,85,45,60,75
Answer:
35 is 70,105,140,175
85 is 170,255,340,425
Please help with this
1) (a) The transformations that occur from the parent function are horizontal translation of 2 units to the left and vertical translation of 4 units to the down.
(b) (-2, -4)
(c) Graph is given below.
1) Given a function,
g(x) = (x + 2)² - 4
(a) Given a parent function p(x) = x².
We can write g(x) as,
g(x) = p(x + 2) - 4
So the transformation is horizontal translation of 2 units to the left and vertical translation of 4 units to the down.
(b) Vertex formula of a parabola is,
y = a (x - h)² + k, where (h, k) is the vertex.
Comparing the given function with vertex form,
Vertex of the parabola = (-2, -4)
(c) Graph of g(x) will be a parabola with vertex at (-2, -4).
It is given below.
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Arrange all three number cards below to create the largest even three-digit number.
5 8
7
Answer:
Answer:
758
Step-by-step explanation:
The largest number that can be made is 875 but it ends in 5 which makes it an odd number.
The only even number is 8 so we have to use it last.
7 is bigger than 5 so 7 goes first which means it's 758
Mathematics pls help me.
Answer:
I think the answer may be 465
Step-by-step explanation:
105+115=220
150+95=245
245+220=465
\Finding percentiles for Z~N(0;1). Question 6: Find the z-value that has an area under the Z-curve of 0.1292 to its left. Question 7: Find the z-value that has an area under the Z-cu
To find the z-value that has an area under the Z-curve of 0.1292 to its left, the z-value that has an area under the Z-curve of 0.8508 to its left is 1.04.
If we know the area to the left of a certain z-value on the standard normal distribution, we can use the standard normal distribution table to determine the z-value corresponding to that area. Using the table, we look for the area closest to 0.1292, which is 0.1292, in the left-hand column.0.1292 lies between 0.12 and 0.13 in the left-hand column of the standard normal distribution table.
In the top row, we look for the number 0.00 since we're dealing with a standard normal distribution. We now follow the row and column that correspond to 0.12 and 0.00, and we find the value 1.10 in the body of the table. Since the area to the left of z is 0.1292, z must be -1.10 to satisfy this requirement. Therefore, the z-value that has an area under the Z-curve of 0.1292 to its left is -1.10.
To find the z-value that has an area under the Z-curve of 0.8508 to its left:If we know the area to the left of a certain z-value on the standard normal distribution, we can use the standard normal distribution table to determine the z-value corresponding to that area.Using the table, we look for the area closest to 0.8508, which is 0.8508, in the left-hand column. 0.8508 lies between 0.84 and 0.85 in the left-hand column of the standard normal distribution table.
In the top row, we look for the number 0.00 since we're dealing with a standard normal distribution. We now follow the row and column that correspond to 0.84 and 0.00, and we find the value 1.04 in the body of the table. Since the area to the left of z is 0.8508, z must be 1.04 to satisfy this requirement. Therefore, the z-value that has an area under the Z-curve of 0.8508 to its left is 1.04.
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413,405,397… find the 41st term
Answer:
it is the frst tow numbrs 41
Step-by-step explanation:
find the probablility that the sum of two randomly chosen numbers from the set{0,1,2,3,4,5,6,7,8,9} is no grreater than 10
Answer:
1 /5
Step-by-step explanation:
formulae -
possible outcomes / total chances
2/10
1/5
Explanation of how we can make (a) subject
Answer:
Step-by-step explanation:
find the lengths of the segments with variable expressions
Answer:
EF = 10; AD = 3 ; BC = 17
Step-by-step explanation:
The median (EF) of a trapezoid equal half the sum of the length of the two bases of the trapezoid (AD and BC)
EF = 1/2 (AD + BC)
x = 1/2( x - 7 + 2x - 3)
x = 1/2 (3x - 10)
2x = 3x - 10 Multiply all terms by 2 or x = 3/2x - 5
-x = -10 x - 3/2x = -5
x = 10 -1/2x = -5
x = 10
So EF = 10
AD = x - 7 BC = 2x - 3
AD = 10 - 7 BC = 2(10) - 3
AD = 3 BC = 20 - 3
BC = 17
I need help with finding the scale factor of the dilation
Step-by-step explanation:
If a dilation) (or scaling) is given, it is assumed that its center and a factor are given, so we can construct an image of any point,
If these two parameters, the center and the factor, are not known, something must be given to determine them.
If these two parameters, the center and the factor, are not known, something must be given to determine them :)
2) g(x) = 4x + 1 Find (gºg)(x)
Step-by-step explanation:
Given
g(x) = 4x + 1
(gog)(x) = g (4x + 1)
= 4 ( 4x + 1) + 1
= 16x + 4 + 1
= 16x + 5
Hope it will help :)