The company's profits on June 1, 2002 is $4500 and the company's profits many years into the future is $1000 per month.
The equation f(t) = (t^2 + 9) / (t^2+2) provides the monthly profits, in thousands of dollar, where t refers to months after June 1, 2002.
The company’s profit on June 1, 2002 using the equation is when t = 0 months
f(0) = (0^2 + 9) / (0^2+2) = 9/2 = 4.5 or $4500.
The company’s profit on many years into the future using the equation is given by:
Limit(t→∞)((t^2+9)/(t^2+2))= Limit(t→∞)(2t/2t)=1
Hence the monthly profit is $1,000.
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Can SOMEONE PLZ HELPP
Answer:
The domain is all real numbers
The range is y > 0
Step-by-step explanation:
Find the P-value for the test value.
t = 1.619, n = 23, right-tailed
0.0299
0.1196
0.0598
0.0704
The P-value represents the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true.
In this case, the null hypothesis is not provided, so we cannot determine the exact P-value.
However, we can use the t-distribution table or a calculator to estimate the P-value for a one-sample t-test with a sample size of 23 and a right-tailed alternative hypothesis.
Using a t-distribution table with 22 degrees of freedom (n-1), we find that the t-critical value for a 0.05 level of significance (alpha) is 1.717. Since the observed t-value of 1.619 is less than the critical value, we can conclude that the P-value is greater than 0.05.
Using a calculator or software, we can obtain a more accurate estimate of the P-value. For a one-sample t-test with the given parameters, the P-value is approximately 0.1196. This means that if the null hypothesis is true, we would expect to obtain a t-value as extreme or more extreme than 1.619 in about 11.96% of all possible samples of size 23.
Therefore, the answer is 0.1196.
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Lauren and Shayla have ½ pound of Skittles. They want to share the Skittles between themselves and 2 friends.
How many pounds of Skittles will each of them receive?
Using division we know that each person will have 1/4 pound of Skittles.
What is division?In mathematics, the division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed.
For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.
The division sign, "," or occasionally "/," is used in computer code.
So, we know that:
Lauren and Shayla have 1/2 pound of Skittles
They will share it with 2 more people.
Then, each will have:
(1/2)/2
1/2 / 2
1/2 * 1/2
1/4
Therefore, using division we know that each person will have 1/4 pound of Skittles.
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OFFERING 88 POINTS AND BRAINLIEST TO THE FIRST ANSWER PLEASE HELP ME FAST
Answer
\(168in^{2}\)
Step-by-step explanation:
SA=2(wl+hl+hw)
2·(6·2+9·2+9·6)
=168
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
3:10
Step-by-step explanation:
3:10 is the ratio form of 3/10
In an analysis of variance problem if SST = 120 and SSTR-80, then SSE is
a. 200
b. 40
c. 80
d. 120
The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.
How to find SSE in an analysis of variance problems with the SST and SSR values?Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.
In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.
The formula is SST = SSR + SSE ⇒ SSE = SST - SSR
Calculation:The given values of the analysis of the variance problem are
SST = 120; SSR = 80
Then, the value of SSE = SST - SSR = 120 - 80 = 40
So, option b is correct.
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Find the mean, median, mode, range, and standard deviation of the data set that is obtained after multiplying each value by the given constant. Round to the nearest tenth, if necessary. If there is no mode, write none.
1, 5, 4, 2, 1, 3, 6, 2, 5, 1; x6.5
Answer:
Step-by-step explanation:
First, organize the numbers; 1,1,1,2,2,3,4,5,5,6. The median is the middle number, in this case, 2 and 3 are in the middle. You'd add 2+3 which equals 5, then divide by 2 to get 2.5. The median is 2.5, to find the mode you need to see how many times one number appears. The mode is 1, the range is the largest number minus the smallest number. The range is 5, to find the mean you add all numbers up, then divide by how many numbers there are. All the numbers added up are 30, now divide that by 10 to get 3. The mean is 3. The standard deviation is 1.7 x 6.5 = 20.8
I'm only an algebra student so I may not be entirely correct.
ASAP
Which equation has no solution?
The equation 32.1y + 3.1 + 2.4y - 8.2 = 34.5y - 5.1 has no solution.
What is zero solution?In Mathematics, an equation is said to have zero solution or no solution when the left hand side and right hand side of the equation are not the same or equal when simplified. This ultimately implies that, an equation would have zero solution or no solution when both sides of the equal sign are not the same and the variables cancel out when simplified.
How to determine the number of solutions?Based on the rule given above, the third equation fails. In order to determine the number of solutions that this equation has, we would simplify the equation by collecting like terms and then compare both sides of the equation as follows:
32.1y + 3.1 + 2.4y - 8.2 = 34.5y - 5.1
34.5y - 5.1 = 34.5y - 5.1
34.5y - 34.5y = - 5.1 + 5.1
0 = 0
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Consider the map 0:P2 P2 given by → (p(x)) = p(x) - 2(x + 3)p'(x) - xp"() ('(x) is the derivative of p(x) etc). Let S = {1, x, x2} be the standard basis of P2, and let B = {P1 = 1+x+x2, P2 = 2 - 2x + x2, P3 = x - x?}. Show: 1) B is a basis of P, and give the transition matrix P = Ps<--B 2) Show o is linear and give the matrix A = [ø]s of the linear map in the basis S. 3) Find the matrix A' = [0]B of the linear map o in the basis B.
Here, [0]B = [-2 -2 0] with respect to the basis B.
1) To show that B is a basis of P2, we can show that the vectors in B are linearly independent and span P2.
Linear independence:
To show linear independence, let α1P1 + α2P2 + α3P3 = 0 for some α1, α2, α3 ∈ R.
Then we have
(α1 + 2α2 + α3) + (α1 - 2α2 + α3)x + (α1 + α2 - α3)x2 = 0
for all x ∈ R. In particular, we can evaluate this at x = 0, 1, and -1.
At x = 0, we get α1 + 2α2 + α3 = 0.
At x = 1, we get α1 = 0. Finally, at x = -1, we get -α1 + α2 - α3 = 0.
Putting these together, we get α1 = α2 = α3 = 0.
Therefore, B is linearly independent.
Span:
To show that B spans P2, we can show that any polynomial p(x) ∈ P2 can be written as a linear combination of the vectors in B.
Let p(x) = a + bx + cx2. Then we have
a + bx + cx2 = (a + b + c)P1 + (2 - 2b + c)P2 + (b - c)P3
Therefore, B is a basis of P2.
We can find the transition matrix P = Ps<-B as the matrix whose columns are the coordinate vectors of P1, P2, and P3 with respect to the basis B.
We have
P = [1 2 0; 1 -2 1; 1 1 -1]2)
To show that o is linear, we need to show that for any polynomials p(x), q(x) ∈ P2 and any scalars a, b ∈ R, we have
o(ap(x) + bq(x)) = aop(x) + boq(x).
Let's do this now:
First, let's compute op(x) for each p(x) ∈ S. We have
o(1) = 1 - 2(3) = -5o(x) = x - 2 = -2 + xo(x2) = x2 - 2(2x) - x = -x2 - 2x
Therefore, [ø]s = [-5 -2 -1]
Finally, to find the matrix A' = [0]
B of the linear map o in the basis B, we need to find the coordinates of
o(P1), o(P2), and o(P3) with respect to the basis B.
We have
o(P1) = o(1 + x + x2)
= -5 - 2(2) - 1(-1)
= -2o(P2) = o(2 - 2x + x2)
= -5 - 2(-2) - 1(1)
= -2o(P3)
= o(x - x2)
= -(-1)x2 - 2x = x2 + 2x
Therefore, [0]B = [-2 -2 0]
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Fractions: three oil tankers together contain 37 5/7 litres of oil. If two tankers have 11 3/14 litres and 12 3/7 litres of oil. Find the oil in the third tanker
Step-by-step explanation:
It is given that, three oil tankers together contain 37 5/7 litres of oil.
Total volume of oil is \(\dfrac{264}{7}\ L\)
If two tankers have 11 3/14 litres and 12 3/7 litres of oil.
Oil in first tanker is \(\dfrac{157}{14}\ L\)
Oil in second tanker is \(\dfrac{87}{7}\ L\)
Oil in first and second tanker is :
\(\dfrac{157}{14}\ L+\dfrac{87}{7}\ L=\dfrac{331}{14}\ L\)
Noo, oil in the third tanker = total volume - (Oil in first tanker + second tanker )
\(=\dfrac{264}{7}\ L-\dfrac{331}{14}\ L\\\\=\dfrac{197}{14}\ L\)
Hence, this is the required solution.
Which two points on the number line are opposites? A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is half-way between negative 1 and 0. Point C is half-way between 0 and 1. Point D is half-way between 1 and 2. points A and B points B and C points C and D points A and D
Answer:
Points B and C are opposite
Step-by-step explanation:
0 on the number line marks the center of the number line. To the right on the number line are positive integers and to the left from zero are negative integers.
Points B and C are opposite because they are each half way between 0 and 1 on the right and 0 and -1 on the left
Answer:
b and c are opposites
Step-by-step explanation:
other guy was right
HELP PLS!! Find the distance between (-3, 11) and (-6, 4). Round to the nearest tenth.
Answer:
Your input: find the distance between P=(−3,11)
P
=
(
−
3
,
11
)
and Q=(−6,4)
Q
=
(
−
6
,
4
)
.
The distance between two points is d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
d
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
.
We have that x1=−3
x
1
=
−
3
, y1=11
y
1
=
11
, x2=−6
x
2
=
−
6
, y2=4
y
2
=
4
.
So, d=(−6−(−3))2+(4−(11))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=58‾‾‾√
d
=
(
−
6
−
(
−
3
)
)
2
+
(
4
−
(
11
)
)
2
=
58
.
Answer: d=58‾‾‾√≈7.61577310586391
d
=
58
≈
7.61577310586391
.
Step-by-step explanation:
Hey! Got this off of someone else ages ago.. hope this helps tho
how many integers must you pick in order to be sure that at least two of them have the same remainder when divided by 11?
We need to start by choosing some 10 integers so that we can ensure that when they are divided by 11, at least two of the integers will give the same remainder.
The following is the explanation:
If you divide a number by 11, the answer will be a fraction. There are 11 remainders which might occur, which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
If for example we choose one number and divide it by 11, there is a chance that the remainder may be any of the 11 (0 reminders 1). Therefore, if we choose 10 numbers, we will have the opportunity to pick 10 unique remainders, ranging from 0 to 10.
In conclusion, if we select one more integer, that is we pick 10 integers, then at least two of them would have the same remainder since there are only 10 remainders.
Because of this, we need to choose 10 numbers such that we can guarantee that at least two of them will provide the same remainder when they are divided by 11.
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Solve from question 1 to 10 ( I NEED THIS ASAP! TY )
Answers:
1. 65 + x = 90
x =25
2. 51 + x = 180
x =129
3. 107 + x = 180
x = 73
y = 107
z = 73
4. angle + 13 = 180 (supplementary means 180)
angle = 167
5. angle + 38 = 180 (supplementary means 90)
angle = 52
6. (5x + 9) + (3x +11) = 180
8x + 20 = 180
8x = 160
x = 20
angle 1 = 109 angle 2 = 71
7. 17x + 1 = 20x - 14
1 = 3x - 14
15 = 3x
5 = x
angle 1 = 86 angle 2 = 86
8. (3x + 3) + (10x - 4) = 90
13x -1 = 90
13x = 91
x = 7
angle 1 = 24 angle 2 = 66
9. p = 2q - 3; q + p = 180
p = 2(180 - p) - 3
p = 360 - 2p - 3
3p = 357
p = 119
______________
q + (119) = 90
q = 61
10. b = 3c + 2; b + c = 90
b = 3(90 - b) + 2
b = 270 - 3b + 2
4b = 272
p = 68
______________
c + (68) = 90
q = 22
Evaluate this function at X = 6.express your answer as an integer or a simplified fraction that is the function is undefined at the given value, indicate “undefined”.
Since this is a pieciwise function we need to determine which expression to use for the value of x given. For the definition of the function we notice that for every x grater than 4 we need to use the function:
\(-2x-6\)Since in this case we want to evaluate the function at x=6 and this value is greater that four we need to use this expression.
Then we have that:
\(\begin{gathered} f(6)=-2(6)-6 \\ =-12-6 \\ =-18 \end{gathered}\)Therefore the value of the function at x=6 is -18
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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Imagine you have a barrel that contains thousands o candies with several different colors. We know that the manufacturer produces 35% yellow candles Five students each take a random sample of 20 candies, one at a time, and record the percentage of yellow candies in their sample. Which sequence below is the most plausible for the percent of yellow candies obtained in these five samples? 30%, 35%, 15%, 40%, 50%. 35%, 35%, 35%, 35%, 35%. 5%, 60%, 10%, 50%, 95%. Any of the above.
The most plausible sequence for the percent of yellow candies obtained in the five samples is 35%, 35%, 35%, 35%, 5%, 60%.
Determine the sample?Since the manufacturer produces 35% yellow candies, it is reasonable to expect that the majority of the samples will have a percentage close to 35%.
The first four samples are all 35%, which is the most likely outcome considering the manufacturer's production rate. The fifth sample of 5% is also plausible since it is possible to randomly select a sample with a lower percentage of yellow candies.
The last sample of 60% is less likely but still within the realm of possibility, as some random samples may have a higher concentration of yellow candies.
Therefore, the sequence of percentages 35%, 35%, 35%, 35%, 5%, 60% is the most realistic among the given options.
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Which is least likely to be an application where statistics will be useful?O Deciding whether offering Rice Krispies improves restaurant salesO Predicting whether an airfare is likely to rise or fallO Designing the most desirable features for a ski passO Choosing the wording of a corporate policy prohibiting smoking
The option that is least likely to be an application where statistics will be useful is "Choosing the wording of a corporate policy prohibiting smoking".
This is because statistics are generally used to analyze numerical data and make predictions or decisions based on that data.
However, choosing the wording of a corporate policy does not involve numerical data and therefore would not require the use of statistics.
The other options, such as deciding whether offering Rice Krispies improves restaurant sales, predicting whether an airfare is likely to rise or fall, and designing the most desirable features for a ski pass, all involve the analysis of numerical data and therefore would benefit from the use of statistics.
Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data.
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a drawer in a darkened room contains 100100 red socks, 8080 green socks, 6060 blue socks and 4040 black socks. a youngster selects socks one at a time from the drawer but is unable to see the color of the socks drawn. what is the smallest number of socks that must be selected to guarantee that the selection contains at least 1010 pairs? (a pair of socks is two socks of the same color. no sock may be counted in more than one pair.)
The smallest number of socks that must be selected is 2023.
How to calculate smallest number of socks that must be selected?Red socks = 100100
Green socks = 8080
Blue socks = 6060
Black socks = 4040
Because, the drawer has 4 types of socks. So if you choose 5 socks then you have at least 1 pair. Now, you have 3 unpaired socks and 1 pair of socks, if you choose 2 more socks it will guarantee you at least 1 more pair of socks. Repeat this process until you get 1010 pairs. Mathematically you can calculate with this formula,
smallest number = previously selected + select 2 more socks × (total pairs required - 1 pair already existing)
= 5 + 2 × (1010 - 1)
= 5 + 2 × 1009
= 5 + 2018
= 2023
Thus, the smallest number of socks that must be selected is 2023.
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Help me with this question please
What is 2/3 divided by 4/5
What is 2/3 divided by 4/5
0.83333333333
Answer:
5/6
Step-by-step explanation:
4/5 should be flipped upside down and then multipled by 2/3.
Triangle ABC has the following side lengths: 4 cm, 6 cm and 9 cm. How many different triangles can be drawn with these side lengths? Question 8 options: Exactly 2 triangles are possible. No triangle is possible. Exactly 1 triangle is possible. More than 2 triangles are possible.
Answer:
Exactly 1 triangle is possible
Step-by-step explanation:
For any given 3 side lengths, (in our case 4 cm, 6 cm, 9 cm) exactly one triangle is possible
Which value from the et 1/2 2/3 4/3 and 5/2 i a value of X that will make the equation 3/4 divided by X equal 9/8 true
On solving the provided question wecan say that - By BODMAS the value x is = x = 9/8 - 3/4 + 9/8 - 6/8 = 3/8
What is BODMAS?BODMAS is an abbreviation for bracket, of, division, multiplication, addition, and subtraction. The BODMAS is used to describe how a mathematical expression operates in a certain sequence. The PEDMAS acronym for Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction is another name for the BODMAS in some places.
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. The quotient of the numerator divided by the denominator is how a number is stated in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.
x = 9/8 - 3/4 + 9/8 - 6/8
x = 3/8
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The length of a rectangle is 2m-1 and the width is m+3. Simplify an expression for the perimeter of the rectangle.
Answer:
6m+ 4
Step-by-step explanation:
2(2m-1) + 2(m+3)
4m - 2 + 2m + 6
6m + 4
A company that makes haircare products had 9000 people try a new shampoo. Of the 9000 people, 63 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
63/9000 = 0.007 = %0.7
Step-by-step explanation:
,&,;=;#,÷,÷
If 4 people can fit in one car how many people can fit in 78 cars
Analyze problem
find ratio
4-1
find how many people(given)
78/1=78
78*4=
312
312 people
Answer:
19 people remaining 2 people.
Give Branliest please!
HELP PLEASE!!!!!!!!!!
Answer:
The answer is x+12.
Step-by-step explanation:
So because the triangle formula is base times height divided by 2 which in this case would give you 12.
Hope this helps!
7.
Grace built this pyramid using 55 blocks.
She glued the blocks together and glued
them onto a board. If she paints the pyramid
blue how many blocks will have no painted
faces?
27
Answer: 31
Step-by-step explanation:
55-24 because she said that she painted 24 blue so you would subtract them.
Create an accurate number line. PLEASE HELPP!!!!
Answer:
I hope that is useful for you :)
If it right tell me in the comments plz thanks alot
HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2
(5x − 1)(x + 4) 2(5x − 4)(x + 1) 2(5x + 2)(x − 2) 2(5x − 2)(x + 2)
Answer:
2(5x - 4)(x + 1)
Step-by-step explanation:
10x^2 + 2x − 8 =
First, factor out the GCF of all terms which is 2.
= 2(5x^2 + x - 4)
5x^2 factors into 5x and x.
= 2(5x )(x )
-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.
= 2(5x - 4)(x + 1)
Answer:
\(\large \boxed{2(5x-4)(x+1)}\)
Step-by-step explanation:
\(10x^2 + 2x - 8\)
Rewrite 2x as 10x - 8x.
\(10x^2 + 10x-8x - 8\)
Factor out the two groups.
\(10x(x+1)-8(x+1)\)
Take x+1 as a common factor.
\((10x-8)(x+1)\)
Factor 10x - 8.
\(2(5x-4)(x+1)\)