Answer:
314/25π inches
I hope this helps!
Aaron borrows $150 from his friend Austin. He promises to pay back the money in 4 monthly installments. Each month he wants to pay half the amount he paid the previous month. Assuming Austin does not charge any interest, how much should Aaron pay the first month to repay the money as scheduled?
A.
$60
B.
$70
C.
$80
D.
$90
E.
$100
Answer:
C $80
Step-by-step explanation:
Since
80-40-20-10=150
15. What is the volume of a rectangular prism with a length 8 cm, width 5 cm and height 3 cm?
Answer:
120cm³
Step-by-step explanation:
V=w·h·l=5·3·8=120cm³
Answer: i hope it help u
Step-by-step explanation:
q1 suppose you take a sample of 16 people and ask them how fast they drive on interstate 94. after collecting your sample, you calculate that the mean is 75mph with a variance of 9mph. calculate a 90% confidence interval for the average speed of all drivers on i94.
A 90% confidence interval for the average speed of all drivers on interstate 94 is (73.69, 76.31)
Given that,
Imagine asking a sample of 16 people how quickly they travel on Interstate 94. You determine the average speed to be 75 mph and the variance to be 9 mph after gathering your sample.
Solution is as given below :
90% Confidence Interval for μ is
μ = X ± tₐ/2 (n-1) 5/\(\sqrt{n}\)
μ = 75 ± (1.75) * 3/\(\sqrt{16}\)
μ = (73.69, 76.31)
Consequently, a 90% confidence interval for the interstate 94 average speed of all drivers is μ = (73.69, 76.31)
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Help please.
Is algebra.
Answer:
3
Step-by-step explanation:
To find the average rate of change, we can use the formula: (y2-y1) / (x2-x1).
Let (15, 45) be (x1, y1) and (29, 87) be (x2, y2).
So we have: (87-45) / (29-15)
This can be simplified to: 42/14, or 3.
Let me know if this helps!
Someone please help me
Answer:
The answer is x = 4
Step-by-step explanation:
1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9
2. Next you simplify the distributed equation, 3/4x + 6 = 9
3. Now subtract 6 from both sides, 3/4x = 3
4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3
5. Simplify, x = 4
Kilometers may be converted to miles by multiplying the kilometers by 6 and then dropping the last digit. True or False
Kilometers may be converted to miles by multiplying the kilometers by 6 and then dropping the last digit: False
To convert kilometers to miles, you should not multiply by 6 and drop the last digit. Instead, you need to use the correct conversion factor. 1 kilometer is equal to approximately 0.621371 miles. Therefore, to convert kilometers to miles, you should multiply the number of kilometers by 0.621371.
Step-by-Step:
1. Determine the number of kilometers you want to convert.
2. Multiply the number of kilometers by the conversion factor 0.621371.
3. The result will be the equivalent distance in miles.
Conclusion: The statement in the question is false. To accurately convert kilometers to miles, you should use the conversion factor 0.621371.
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Allen decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he need
help me out with this pls (multiple choice) ty
Answer:
C
Step-by-step explanation:
\( \sin(30) = \frac{8}{x} \\ x = \frac{8}{ \sin(30) } = 16 \\ \tan(30) = \frac{8}{y} \\ y = \frac{8}{ \tan(30) } = 13.85 = 8 \sqrt{3} \)
Compare and contrast relative age dating with radiometric age dating. What is a limitation (if any) of each
Relative age dating determines the sequence of events without providing specific ages, while radiometric age dating calculates precise numerical ages using radioactive isotopes. Relative age dating is limited by its inability to assign exact ages, while radiometric age dating is limited by the availability of suitable isotopes and its applicability to specific time ranges.
Relative age dating involves comparing the positions of rocks or fossils in different layers or formations to determine their relative ages. It relies on principles such as superposition, cross-cutting relationships, and fossil succession. It can provide information about the sequence of events and the relative order of geological features. However, it does not provide precise numerical ages and is limited to establishing relative age relationships.
Radiometric age dating, on the other hand, uses the decay of radioactive isotopes in rocks and minerals to determine their absolute ages. By measuring the ratio of parent isotopes to daughter isotopes, scientists can calculate the time elapsed since the rock or mineral formed. Radiometric age dating provides precise numerical ages and is particularly useful for dating ancient rocks and fossils. However, it requires the presence of suitable isotopes, and some isotopes may have long half-lives, limiting their applicability to certain time ranges.
In summary, relative age dating provides information about the sequence of events but not specific ages, while radiometric age dating provides precise numerical ages but relies on the availability of suitable isotopes and has limitations in terms of the time range it can cover.
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the complete question is :
Compare and contrast relative age dating with radiometric dating. What are the strengths and limitations (if any) of each?
Find the balance in the account after the given period
$3000 principal earning 5% compounded annually, 8 years
i really need help im confused
Answer:
$1200
Step-by-step explanation:
5% of $3000 = $150
multiply 8 by $150 = $1200
the given pattern continues. write down the nth term of the sequence suggested by the pattern 1/18, 2/19, 3/20, 4/21
The nth term of the pattern is (1+n)/(18+n)
What is a sequence?
succession is the act of doing something after another. successional order: a list of books organized by title. a running or interconnected sequence: a series of sonnets. something that happens after; a following event; a result; or a repercussion. In contrast to a set, the order of the components in a sequence does important, and the same elements may occur more than once at various positions. A series can officially be described as a function from natural numbers.
We are given a sequence
1/18, 2/19, 3/20, 4/21
As we can see the second term is (1+1)/(18+1)
Third term is (1+2)/(18+2)
Hence the n th term of the sequence can be given as (1+n)/(18+n)
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Consider the sugar-water phase diagram of Figure 9.1. (a) How much sugar will dissolve in 1000 g of water at 80°C (176°F)? (b) If the saturated liquid solution in part (a) is cooled to 20°C (68°F), some of the sugar precipi- tates as a solid. What will be the composition of the saturated liquid solution (in wt% sugar) at 20°C? (c) How much of the solid sugar will come out of solution upon cooling to 20°C?
The difference between these two values will give us the mass of solid sugar that came out of solution upon cooling to 20°C.
(a) To determine how much sugar will dissolve in 1000 g of water at 80°C, we need to find the point on the sugar-water phase diagram that corresponds to these conditions. At this point, the curve separating the liquid and solid phases (called the solubility curve) indicates the maximum amount of sugar that can be dissolved in the water at that temperature.
Once we have identified this point, we can read off the corresponding sugar concentration in the liquid phase. This will give us the maximum amount of sugar that can be dissolved in 1000 g of water at 80°C.
(b) When the saturated liquid solution in part (a) is cooled to 20°C, some of the sugar will precipitate as a solid. This means that the composition of the remaining liquid phase will be different from its composition at 80°C.
To determine the new composition, we need to find the point on the phase diagram that corresponds to 20°C and the sugar concentration we found in part (a). This point will lie on the solubility curve, which separates the liquid and solid phases at 20°C.
Once we have identified this point, we can read off the corresponding sugar concentration in the liquid phase. This will give us the composition of the saturated liquid solution at 20°C.
(c) The amount of solid sugar that comes out of solution upon cooling to 20°C can be calculated using the mass balance equation:
mass of solid sugar + mass of dissolved sugar = total mass of sugar
At 80°C, we found the maximum amount of sugar that can be dissolved in 1000 g of water. We can use this value to calculate the mass of dissolved sugar at 80°C. Then, at 20°C, we can use the composition we found in part (b) to calculate the mass of dissolved sugar in the saturated liquid solution.
The difference between these two values will give us the mass of solid sugar that came out of solution upon cooling to 20°C.
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Please someone help i dont understand
ill upload the rest in a second
g(x)=2x+4 find g(- 6)
Answer:
g(-6) = -8
Step-by-step explanation:
g(x) = 2x + 4
g(-6)= 2(-6) + 4
g(-6) = -12 + 4
g(-6) = -8
O No; there are y-values that have more than one x-value.
• No; the graph fails the vertical line test.
• Yes; the graph passes the vertical line test.
Yes; there are no y-values that have more than one x-value.
The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
How do functions work?According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.
Please refer to the image instead of the graph, which is related to it.
The graphic displays a graph.
A parabola is seen on the graph.
The vertical line test determines if a graph can be a function, as is common knowledge.
The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
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Do both 1 & 2, find if they represent functions or if they don’t
Answer:
1) 1+3
2) c
...............
Answer:
1.) first, second and third
2.) D
Find the straight-time pay: $9.25 per hour, 35 hours.
Answer:
you will get paid $323.75 if you work 35 hours and get paid $9.25 per hour
Answer:
323.75
Step-by-step explanation:
$9.25 x 35 = 323.75
Tanvi bought 48 rolls of paper towels. She got 1,116 meters of paper towels in all. How many
meters of paper towels were on each roll?
Write your answer as a decimal.
Answer: 23.25 meters on each roll
Step-by-step explanation:
simple division
View Policies Current Attempt in Progress Using the information provided in the table, the network diagram and the project completion time = 25 weeks, reduce the completion time of the project by 5 we
Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.
To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.
To achieve a reduction of 5 weeks, we can consider several strategies:
1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.
2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.
3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.
4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.
It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.
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Find the slope of the line that passes through (7, 4) and (5, 9)
Answer:
-2/1/2
Step-by-step explanation:
y2-y1/x2-x1
9-4/5-7
5/-2
-2/1/2
if L || m, solve for x and y.
x=
y=
Answer:
x = 16
y = 10
Step-by-step explanation:
See attached worksheet.
B is between A and C. If AB = x - 5, BC = x + 14, and AC = 35 then x = ________ (just enter your answer as the number only)
Answer:
x=13
like the other person said but ill show you how
Step-by-step explanation:
(x-5)+(x+14)=35
add the x's together
add up the -5 and the 14
2x+9=35
subtract 9
2x=26
divide 2
x=13
What is the answer to 1/5x - 2 = 4 Help
The solution to the equation 1/5x - 2 = 4 is given by x = 30.
Given data:
To solve the equation (1/5)x - 2 = 4, we will isolate the variable x as:
Step 1: Add 2 to both sides of the equation to eliminate the -2 term on the left side:
(1/5)x - 2 + 2 = 4 + 2
On simplifying:
(1/5)x = 6
Step 2: Multiply both sides of the equation by 5 to get rid of the fraction (1/5):
5 * (1/5)x = 5 * 6
On simplifying:
x = 30
Hence, the solution x = 30.
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write the equation of the line that is perpendicular to the line 2x+3y=12 and that's also passes through the point (2,6)
Answer:
Step-by-step explanation:
Rewrite the equation in the form y=mx+b, where m is the slope.
2x+3y = 12
3y = -2x+12
y= -(2/3)x+4
A perpendicular line witll have a slope that is the negative inverse of the reference line. The negative inverse of -(2/3) is (3/2),
The perpendicular line will have the form y = (3/2)x + b
Find b by using the given point, (2,6)
y = (3/2)x + b
6 = (3/2)*2 + b
6 = 3 + b
b = 3
The equation of the line that is perpendicular to the line 2x+3y=12 and that's also passes through the point (2,6) is y = (3/2)x + 3.
Question 31 point)
Victoria estimates that 230 people will attend the concert. There was an actual total of 300 people who attended the choir concert. Find the
percent error to the nearest whole percent
A.23%
B.33%
C.14%
D.70%
Answer:
23
explain:
230/300 = 77%
^^
That is how much she predicted
We have to subtract 77% from 100% to find out how much she missed
100- 77 = 23
A model of a car is 1 feet wide and 3 feet long. If the actual car is 15 feet long, what is the width of the actual car?
A. 3 feet
B. 5 feet
C. 15 feet
D. 45 feet
Answer:
5 feet.
Step-by-step explanation:
if we see that 3 feet is the model and 15 feet is the actual, we find the ratio is 3:15 or 1:5. since the width is 1 foot, then we see the actual is 5 feet long.
Anna has 3/4 the money Victor has. Victor has 18$ less than Kim they have 386.4 together how much do they each have
Solving a system of equations we can see that:
Anna has $100.47Victor has $133.96Kim has $151.96How to find how much money each one has?
First, let's define the variables:
A = money that Anna has.V = money that Victor has.K = money that Kim has.With the given information we can write 3 equations:
A = (3/4)*V
V = K - $18
A + V + K = $386.4
Then we need to solve a system of equations:
A = (3/4)*V
V = K - $18
A + V + K = $386.4
We can first replace the first equation into the third to get:
(3/4)*V + V + K = $386.4
And rewrite the second to get:
k = V + $18
And replace that in the other equation:
(3/4)*V + V + V + $18 = $386.4
Now we can solve this for V:
V*(1 + 1 + 3/4) = $386.4 - $18
V*(11/4) = $368.40
V = (4/11)*$368.40 = $133.96
Now that we know the value of V, we can replace it in:
K = V + $18 = $133.96 + $18 = $151.96
A = (3/4)*V = (3/4)*$133.96 = $100.47
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The Screamers are coached by Coach Yellsalot. The Screamers have 12 players, but two of them, Bob and Yogi, refuse to play together. How many starting lineups (of 5 players) can Coach Yellsalot make, if the starting lineup can't contain both Bob and Yogi
Coach Yellsalot can create 792 different starting lineups of 5 players without including both Bob and Yogi, considering the combinations and permutations of the remaining players.
To calculate the number of possible lineups, we can use combinations and permutations.
First, let's consider the combinations of 5 players out of the remaining 10 players (excluding Bob and Yogi). This can be calculated using the formula for combinations, denoted as C(n, r), where n is the total number of players and r is the number of players in the lineup. In this case, we have C(10, 5) = 252 possible combinations.
Now, since the order of players does not matter in a lineup, we need to consider the permutations of the lineup combinations. The number of permutations can be calculated using the formula for permutations, denoted as P(n, r), where n is the total number of players and r is the number of players in the lineup. In this case, we have P(10, 5) = 30240 possible permutations.
However, we need to exclude the cases where both Bob and Yogi are in the lineup. This means we need to subtract the number of lineups that include both players from the total permutations. There are P(8, 3) = 336 possible permutations of the remaining 8 players (excluding Bob and Yogi) in a lineup of 3 players.
Therefore, the total number of starting lineups without both Bob and Yogi is P(10, 5) - P(8, 3) = 30240 - 336 = 29904.
Thus, Coach Yellsalot can make 792 different starting lineups of 5 players without including both Bob and Yogi.
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Write 2x+y=17 in slope-intercept form
Answer:
y=-2x+17
Step-by-step explanation:
the cost of a ford is 2/13 of the cost of a rolls Royce. If the current price of a rolls Royce is $211 250, what is the cost of a ford ?