extend the number pattern below then write the number that would be the hundredth number in the pattern 5 10 15 20 25 30 35 40 45
Answers
To find the nth term in a pattern we can use the formula:
\(a_n=dn+(a-d)\)where d is the difference between terms and a is the firt term of the pattern.
In this case a=5 and d=5. Then the nth term is:
\(\begin{gathered} a_n=5n+(5-5) \\ =5n \end{gathered}\)Therefore the 100 number in the pattern is:
\(a_{100}=5(100)=500\)Related Questions
is pie rational true or false
Answers
Answer:
Example: π (Pi) is a famous irrational number.
We cannot write down a simple fraction that equals Pi.
Step-by-step explanation: true
When you first looked at the image, you saw that Dina has 24 tickets for carnival rides, and she wants to use all of them. Some rides have a height requirement, and some rides do not have a height requirement.
-Dina has 24 tickets and wants to use all of them. She plans to go on a ride most once.
-Rides with no height requirement cost 3 tickets.
-Rides with a height requirement cost 4 tickets.
Let's answer the question "How many rides can Dina go on using all of her tickets?"
To answer the question, think about the strategy you would use along with all the information you have. What answer do you get? Select all that apply.
Note that 3-ticket rides have no height requirement, and 4-ticket rides have a height requirement.
A. 3-ticket rides: 0; 4-ticket rides: 6
B. 3-ticket rides: 2; 4-ticket rides: 6
C. 3-ticket rides: 4; 4-ticket rides: 3
D. 3-ticket rides: 6; 4-ticket rides: 2
E. 3-ticket rides: 8; 4-ticket rides: 0
Answers
Determine which translations would map Figure
W onto Figure X
Answers
The sequence of steps that translates figure W to figure X are -
It is first shifted by the rule (x, y) → (x, y - 3)The image is then reflected across the y - axis.The image is then reflected across the x - axis.Refer to the image attached. It shows figure W and figure X. We can write the sequence of steps for the given translation as -
It is first shifted by the rule (x, y) → (x, y - 3)The image is then reflected across the y - axis.The image is then reflected across the x - axis.To solve more questions on translations, visit the link-
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What two whole number powers of 2 does 2 5/3 come between?
Answers
The two whole number powers of 2 does 2 5/3 come between 3 and 4.
What is whole number?The number starting from 0 and running to the infinity are called whole numbers. Such as, 0,1,2,3,4,5...........
Place given number between two consecutive integers: 3 < 2 5/3 < 4
Thus, 3 <2^ (5/3) < 4.
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The probability of waiting 2 minutes or longer for checkout at a particular supermarket counter is 0.3. On a given day, a man and his wife decide to shop individually at the market, each checking out at different counters. They both reach the counters at the same time. What is the probability that one or the other or both will wait 2 minutes or longer?
Answers
Answer:
The probability answer is 69/100
Step-by-step explanation:
The probability of waiting 2 minutes or longer = 0.3= (3/10)
The probability of not waiting longer = 1 - (3/10) = (7/10)
For the man,
P(waiting 2 mins or longer) = 3/10
For the woman,
P(waiting 2 mins or longer) = 3/10
Therefore,
The probability that one or the other or both will wait 2 minutes or longer
= P(man waits 2 mins or longer) or P(woman waits 2 mins or longer) or P(both waits 2 mins or longer)
= (3/10) or (3/10) or ( (3/10) and (3/10) )
= (3/10) + (3/10) + ( (3/10) X (3/10) )
= (6/10) + (9/100)
= (69/100)
Part C-The coach also surveyed a group of 11- and 12-year-old students at his school to find outwhether they prefer ice-skating or roller-skating.This two-way table shows the data from the coach's second survey.Coach's Survey Data-Based on the survey data, are 11 and 12-year-old students more likely to prefer ice-skatingor roller-skating? Explain your reasoning.Enter your answer and your explanation the space provided.
Answers
From the table,
The total number of students = 32
The number of 11-year-old students who prefer ice skating = 9
The probability is,
\(\begin{gathered} =\frac{9}{13} \\ =0\cdot6923 \end{gathered}\)The number of 12-year-old students who prefer ice skating = 9
The probability is,
\(\begin{gathered} =\frac{9}{19} \\ =0\cdot4736 \end{gathered}\)The number of 11-year-old students who prefer Roller skating = 4
The probability is,
\(\begin{gathered} =\frac{4}{13} \\ =0\cdot3076 \end{gathered}\)The number of 12-year-old students who prefer Roller skating = 10
The probability is,
\(\begin{gathered} =\frac{10}{19} \\ =0\cdot5263 \end{gathered}\)From this probabilities
we get,
The 11 and 12-year-old students more likely to prefer ice skating
Which of the following represents 24 = 4 × 6?
A.
4 is 6 times as many as 24
B.
24 is 4 times as many as 6
C.
24 is 2 times as many as 12
D.
6 is 4 times as many as 24
Answers
Answer:
4 is 6 times as many as 24
Step-by-step explanation:
Crane Corporation is considering purchasing a new delivery truck. The new truck would cost $55,440. The new truck is expected to generate a cost savings of $7,700. At the end of 8 years, the company will sell the truck for an estimated $27,600.
Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company's cost of capital is 8%.
a) Compute the cash payback period and net present value of the proposed investment.
b) Does the project meet the company's cash payback criteria?
c) Does it meet the net present value criteria for acceptance?
Answers
A. The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.
B. No, the project does not meet the company's cash payback criteria.
C. Yes, the project does meet the net present value criteria for acceptance.
How do we solve for the net present value of the proposed investment?A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.
$55,440 / $7,700 = 7.2 years
To solve for the net present value, we say
Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.
NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63
+ ($7,700 / (1 + 0.08)²) = 6601.51
+ .($7,700 / (1 + 0.08)³ = 6112.51
+ ($7,700 / (1 + 0.08)⁴) = 5659.73
+ ($7,700 / (1 + 0.08)⁵) = 5240.49
+ ($7,700 / (1 + 0.08)⁶) = 4 852.31
+ ($7,700 / (1 + 0.08)⁷) = 4492.88
+($7,700 / (1 + 0.08)⁸) = 4160.07
+ ($27,600 / (1 + 0.08)⁸)) = 14911.42
- $55,440
We add all these values together and subtract by $55,440
7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440
59160.55 - 55,440
NPV = 3720.55
B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.
C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.
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Subtract using the number line.
−35−(−25)
Select the location on the number line to plot the difference.
Answers
Answer:
I'm assuming that the answer is -10
Step-by-step explanation:
Because you are being asked to subtract a negative, the two negative signs cancel each other out to make the equation -35+25. So the answer is -10.
Answer:
-1/5 im right hope all of you have a wonderful day
Step-by-step explanation:
Toula owns the Pita Pan restaurant. She needs to order supplies for the upcoming weekend rush. She needs 150 bags of pita bread. The bread come in crates of 50, and each crate costs $15.00. She also needs 65 containers of hummus dip. There are 5 containers in a box, and each box costs $20.00 What expressions can Toula use to determine how much the pita bread and hummus dips will cost? What will the total be?
Answers
The total cost of the pita bread and hummus dips will be $305.00.
To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:
Cost of pita bread:
Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates
Cost of each crate = $15.00
Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00
Cost of hummus dips:
Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes
Cost of each box = $20.00
Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00
Therefore, the expressions Toula can use to determine the costs are:
Cost of pita bread = 3 crates × $15.00/crate
Cost of hummus dips = 13 boxes × $20.00/box
The total cost will be the sum of the costs of pita bread and hummus dips:
Total cost = Cost of pita bread + Cost of hummus dips
Total cost = $45.00 + $260.00
Total cost = $305.00
Therefore, the total cost of the pita bread and hummus dips will be $305.00.
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Subtract 8 feet from 9 yards, 1 foot.
A. 6 yards, 2 feet
B. 7 yards, 1 foot
C. 6 yards, 1 foot
D. 1 yard, 1 foot
Answers
Answer: B
Step-by-step explanation:
I knew I would have 1 foot left so that made sure it wasn’t A then I knew that it the answer had to be in yards so I convert 8 feet into yards which becomes 2.7 so it’s not three which makes I’m not C. So 9 yards minus 2.7 yards would equal the answer B
Answer:
your answer should be A let me know
Step-by-step explanation:
A
Emily's score for a Mathematics test was 5% higher than her score for an English test. If Emily scored 84 points for the Mathematics test, how many points did she score for the English test?
Answers
Answer:
80 points
Step-by-step explanation:
If score in English is x points and score in math is 5% higher then score in math
y = x + 0.05x
where 0.05 = 5% expressed as decimal
0.05x refers to the 5% increase in score
y = math score
y = x(1 + 0.05)
y = 1.05x
Given score in math = 84 this becomes
84 = 1.05x
x = 84/1.05
x = 80
So Emily's score in English was 80 points
A race car traveled for 2 1/2hours with an average speed of 132 5/8 km per hour. Find the total distance it covered.
Answers
Answer: The total distance covered by the car is 331 9/16 km.
Step-by-step explanation:
We know that, speed= distance/time taken
Therefore, distance = speed x time taken
= 132 5/8 x 2 1/2
= 5/2 x 1061/8
= 5305/16
= 331 9/16 km
Therefore, total distance is 331 9/16 km.
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A basketball player took 20 shots from the court during a game, and made 35% of them. How many shots did he make
Answers
Answer:
7
Step-by-step explanation:
35% of 20 is seven
A right rectangular prism has a volume of 3536 cubic feet, and the length 8 of the base of the prism is 9 feet longer than its width. The height of prism is 26 feet. What are the dimensions of the base of the prism?
Answers
Answer:
Base = 8 * 17
Step-by-step explanation:
(Not sure what the "8" is, assuming an accidental input.)
Base area = 3536/26 = 136
136 = Lw
L = 136/w
L = w + 9
136/w = w + 9
136 = w(w + 9)
136 = w² + 9w
w² + 9w - 136
(w + 17)(w - 8)
Only use the positive result. w = 8
L = 8 + 9 = 17
Edit: Maybe 8 is the answer accidentally included in the question?...
¼ y + ⅜ ? I don't know what to do
Answers
Answer:
isn't that a graph perhaps ?
Carleigh, Inc., is a pork processor. Its plants, located in the Midwest, produce several products from a common process: sirloin roasts, chops, spare ribs, and the residual. The roasts, chops, and spare ribs are packaged, branded, and sold to supermarkets. The residual consists of organ meats and leftover pieces that are sold to sausage and hot dog processors. The joint costs for a typical week are as follows: Direct materials $84,500 Direct labor 29,000 Overhead 20,000 The revenues from each product are as follows: sirloin roasts, $68,000; chops, $71,000; spare ribs, $33,000; and residual, $9,800. Carleigh’s management has learned that certain organ meats are a prized delicacy in Asia. They are considering separating those from the residual and selling them abroad for $52,000. This would bring the value of the residual down to $2,650. In addition, the organ meats would need to be packaged and then air freighted to Asia. Further processing cost per week is estimated to be $27,500 (the cost of renting additional packaging equipment, purchasing materials, and hiring additional direct labor). Transportation cost would be $12,100 per week. Finally, resource spending would need to be expanded for other activities as well (purchasing, receiving, and internal shipping). The increase in resource spending for these activities is estimated to be $3,120 per week.
Answers
Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.
To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.
The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).
Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.
However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).
Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.
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my teacher did the inverse of 1/10+1/20 and got 6.67 as an answer. will someone please explain to me how they did it?
Answers
To find the invers of the expression 1/10+1/20, divide 1 with the above expression.
\(\begin{gathered} Inverse\text{ of (}\frac{1}{10}+\frac{1}{20}\text{)}=\text{Inverse of (}\frac{3}{20}\text{)} \\ =\frac{1}{\frac{3}{20}} \\ =1\times\frac{20}{3} \\ =6.67 \end{gathered}\)Thus, the inverse of the given expression is 6.67.
Help as quick as possible
Answers
The top number goes first then the second number goes second
The roots of the quadratic equation $z^2 + bz + c = 0$ are $-7 + 2i$ and $-7 - 2i$. What is $b+c$?
Answers
Answer:
67
Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,
\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$
Also,
\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.
There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.
This is the aops answer :)
The required value of b+c is 39.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
The given quadratic equation,
z² + bz + c = 0
Also, the roots of the equation are -7 + 2i and -7 - 2i.
The sum of the roots
b / 1= -7 + 2i + -7 - 2i
b= -14
The product of the root
c/1 = (-7 + 2i)(-7 - 2i ) = 49 - (2i)² = 49 - 4i² = 49 + 4 = 53
c = 53
The required value of b and c
b + c = 53 - 14 = 39
The value of b + c is 39.
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A rectangle has an area of 175 m2 . Calculate its length if its width is 25m
Answers
Answer:
The length of the rectangle (L) = 7m
Step-by-step explanation:
Explanation:-
Given that the width of the rectangle = 25 m
Given that the area of the rectangle = 175 m²
Area of the rectangle = length × width
175 = L × 25
length(L) = \(\frac{175}{25}\)
L = 7 m
Final answer:-
The length of the rectangle (L) = 7m
15% OFF!
Gabe wants to buy a dog collar. The sale price is $3.91. What was the original price?
$
Answers
the original price was really "x", which oddly enough is the 100%, but today the collar is on sale at 15% off, that means the sale price is 100% - 15% = 85% of the original price, and we happen to know that's $3.91, so
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} x & 100\\ 3.91& 85 \end{array} \implies \cfrac{x}{3.91}~~=~~\cfrac{100}{85} \\\\\\ \cfrac{x}{3.91} ~~=~~ \cfrac{20}{17}\implies 17x=78.2\implies x=\cfrac{78.2}{17}\implies x=4.6\)
Find the absolute value of each of the following numbers.
2.54
17.65
14.2
90.44
Answers
|7.65|= 7.65, take out the lines
|-14.2|= 14.2, take out lines and inside signs
|90.44|= 90.44, take out the lines
Hope this helps!! :D
What is the IQR for 10, 14, 15, 15, 16, 18, 19, 21
Answers
Answer:
15-18
Step-by-step explanation:
The IQR is the middle 50% of a set of numbers
There are 8 numbers, so its the middle 4
The middle 4 consists of 15,15,16,18
The range is 15-18
make p the subject of a=p-2b
2
Answers
Answer:
p= a +2b
Step-by-step explanation:
Making p the subject of the equation means that we need to arrive at the final answer of p= ____.
a= p -2b
a +2b= p (+2b on both sides)
p= a +2b
A company finds that the rate at which the quantity of a product that consumers demand changes with respect to price is given by the marginal-demand function Upper D prime (x )equals negative StartFraction 4000 Over x squared EndFraction where x is the price per unit, in dollars. Find the demand function if it is known that 1002 units of the product are demanded by consumers when the price is $4 per unit.
Answers
Answer: the demand function is D(x) = 4000/x + 2
Step-by-step explanation:
Given that
D'(x) = - 4000 / x²
Now d(D(x)/dx = - 4000/x²
so we integrate with respect to x
∫ d(D(x)) = - ∫ (4000/x²) dx = -4000 x⁻¹/-1 + C
⇒ D(x) = 4000/x + C
where C is a constant
Given that; x = 4 and D(x) = 1002
so we substitute
1002 = 4000 / 4 + C
1002 = 1000 + C
C = 1002 - 1000
C = 2
so D(x) = 4000/x + C ⇒ D(x) = 4000/x + 2
Therefore the demand function is D(x) = 4000/x + 2
Rural Speed Limits Rural speed limits for all 50 states are indicated below. 60 mph 65 mph 70 mph 75 mph 1 (HI) 18 18 13 Choose one state at random. Find the probability that its speed limit is a. 60 or 70 miles per hour b. Greater than 65 miles per hour c. 70 miles per hour or less
Answers
Answer:
\(P(60mph\ or\ 70mph) = 0.38\)
\(P(x>65mph) = 0.62\)
\(P(x \le 70mph) = 0.74\)
Step-by-step explanation:
Given
Speed Limits --- States
60 mph ---------- 1
65 mph ----------- 18
70 mph ----------- 18
75 mph ---------- 13
Total -------------- 50
Solving (a): Probability of 60mph or 70mph
This is represented as:
\(P(60mph\ or\ 70mph)\)
We only consider states with speed limits of 60 and 70mph.
So, we have:
\(P(60mph\ or\ 70mph) = P(60mph) + P(70mph)\)
\(P(60mph\ or\ 70mph) = \frac{1}{50} + \frac{18}{50}\)
Take L.C.M
\(P(60mph\ or\ 70mph) = \frac{1+18}{50}\)
\(P(60mph\ or\ 70mph) = \frac{19}{50}\)
\(P(60mph\ or\ 70mph) = 0.38\)
Solving (b): Greater than 65mph
This is represented as:
\(P(x>65mph)\)
We only consider states with speed limits of 70 and 75mph.
So, we have:
\(P(x>65mph) = P(70mph) + P(75mph)\)
This gives:
\(P(x>65mph) = \frac{18}{50} + \frac{13}{50}\)
Take L.C.M
\(P(x>65mph) = \frac{18+13}{50}\)
\(P(x>65mph) = \frac{31}{50}\)
\(P(x>65mph) = 0.62\)
Solving (c): 70mph or less
This is represented as:
\(P(x \le 70mph)\)
We only consider states with speed limits of 60, 65 and 70mph.
So, we have:
\(P(x \le 70mph) = P(60mph) + P(65mph) + P(70mph)\)
This gives:
\(P(x \le 70mph) = \frac{1}{50} + \frac{18}{50} + \frac{18}{50}\)
Take L.C.M
\(P(x \le 70mph) = \frac{1+18+18}{50}\)
\(P(x \le 70mph) = \frac{37}{50}\)
\(P(x \le 70mph) = 0.74\)
Have you seen or read about an example where data were presented on an issue, but the sample was not representative of the population from which it was drawn? If you can't recall a specific example, locate one using an Internet search.
For this discussion, summarize the issue and respond to the following questions.
Why do you believe the sample was not representative of the population?
What are the undesirable consequences of using a poor sampling technique?
How could the inaccurate reporting of the data been prevented?
Answers
Yes, there are many examples where data were presented on an issue, but the sample was not representative of the population from which it was drawn. One such example can be found in a 2016 article published in The Guardian, titled "Why polls get it wrong – and why that matters for democracy."
In this article, the authors discuss the issues with polling techniques used during the 2016 US presidential election. They argue that the sample sizes used in many of the polls were too small and not representative of the wider population. As a result, the polls failed to accurately predict the outcome of the election.
I believe the sample was not representative of the population because the polling companies may have relied on outdated or incorrect data to select their samples. Additionally, they may have relied on self-selected samples or only sampled certain demographics, which could bias the results.
The undesirable consequences of using a poor sampling technique are significant. For example, inaccurate polling results can lead to misleading news coverage, which can influence public opinion and even affect election outcomes. Additionally, polling companies that consistently produce inaccurate results may lose credibility and damage their reputations.
To prevent inaccurate reporting of data, it's essential to use proper sampling techniques. This includes ensuring that the sample is representative of the population being studied, selecting an appropriate sample size, and minimizing biases in the sampling process. Additionally, polling companies should be transparent about their methods and share their data and methodologies with the public so that others can scrutinize their findings.
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What is the force of an object with a mass of 30 kg and an acceleration of 10 m/s2?
The answer is 300N
Answers
A portfolio manager generates a 5% return in Year 1, a 12% return in Year 2, a negative 6% return in Year 3, and a return of 2% (nonannualized) in the first quarter in Year 4. The annualized return for the entire period is the closest to __________.
Answers
The annualized return for the entire period is the closest to 10.5%.
To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.
The formula for calculating the geometric mean return is:
Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1
Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.
Given the returns:
Year 1 return: 5% or 0.05
Year 2 return: 12% or 0.12
Year 3 return: -6% or -0.06
First quarter of Year 4 return: 2% or 0.02
Using the formula, we can calculate the annualized return:
Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1
Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1
Annualized Return = 1.121485^(1/3) - 1
Annualized Return ≈ 0.105 or 10.5%
Therefore, the annualized return for the entire period is approximately 10.5%.
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