Answer:
x=68
Step-by-step explanation:
We begin by setting up as a proportion. 99.2 and 112 ft are across from each other so we can put those as our numerators. Additionally 62 and (x+2) ft are across from each other so we can put those as denominators. Now we can set up our proportion and begin to cross multiply:
99.2/62 = 112/(x+2) is our equation. It might help you see it clearly to write it out as fractions. From here, we cross multiply.
When we do that, we get x=68
evaluate 4y when y = 5
Step-by-step explanation:
4y
4 (5)
4×5
20
y=20
Hope its helpfulllll
Hey there!
4y
= 4(5)
= 4 + 4 + 4 + 4 + 4
= 8 + 8 + 4
= 16 + 4
= 20
= 4(5)
= 20
Therefore your answer is: 20
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
what is the best big-o function for the worst case scenario analysis of a linar search of a list of size n (counting the number of comparisons)?
Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.
Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.
You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram
After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.
Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?
In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.
Learn more about Big-o from
https://brainly.com/question/13257594
#SPJ4
URGENT SOMEBODY PLZ HELP
First one is B (43) and the second one is C (35)!
Eva is going to invest in an account paying an interest rate of 6.1% compounded continuously. How much would Eva need to invest, to the nearest ten dollars, for the value of the account to reach $71,000 in 7 years?
The answer is 46320
Answer:
$46,320
Step-by-step explanation:
Given that
The rate of interest is 6.1%
The amount is $71,000
And, the time period is 7 years
We need to find out the invested amount
As we know that
In the compounded continously, the following formula should be used
Amount = Invested amount × e^(rate × time period)
$71,000 = Invested amount × e^(6.1% × 7)
$71,000 = Invested amount × e^0.427
$71,000 = Invested amount × 1.5326
So, the investment amount is
= $71,000 ÷ 1.5326
= $46324,912
= $46,320
what is the theoretical flow time? (the minimum time required to produce a garage door from start to finish.) the potential answers are: a: 50 minutes. b: 54 minutes. c: 26 minutes. d: 56 minutes. e: 58 minutes.
Theoretical flow time = 58 minutes
The complete question is
Mamossa Assaf Inc. fabricates garage doors. Roofs are punched in a roof punching press (15 minutes per roof) and then formed in a roof forming press (8 minutes per roof). Bases are punched in a base punching press (3 minutes per base) and then formed in a base forming press (10 minutes per base), and the formed base is welded in a base welding machine (12 minutes per base). The base sub-assembly and the roof then go to final assembly where they are welded together (10 minutes per https://brainly.com/question/27786618garage) on an assembly welding machine to complete the garage. Assume one operator at each station.
Roof → Roof - punch(15 min) → Roof-form(8 min) →→→→→→→→↓
(10)Assembly→ Door
Base → Base - punch(3 min) → Base - form(10 min) → weld(12 min)↑
Roof path = 15 + 8 = 23
Base path = 3 + 10 + 12 =25
Theoretical flow time = Roof path + base path + assembly = 23 + 25 +10 = 58 mins
To learn more about Theoretical flow time :
https://brainly.com/question/27786618
#SPJ4
Helpppp thanks in advance
Answer:
Lets mark the unmarked angle as angle A and the base of the building as BC
We can use tan to find this
tan=opposite/adjacent
by knowing the 2 interior angles we can calculate the measure of A sicne the interior angles of any triangle add up to 180
52+90+A=180
142+a=180
38=a
tan(38)=BC/300
300 tan(38)=bc
using a calculator we see that bc=234.385689 or 234meters rounded
Step-by-step explanation:
a sample of 49 eggs yields a sample mean weight of 2.00 ounces. assuming that the population standard deviation
The correct answer is the margin of error is 0.13.
A population's standard deviation serves as a gauge for how widely distributed its individual data points are. It's a way to express how dispersed from the mean the data is.
To determine if a discovery or association is statistically significant or not, hypothesis testing uses a z-test. It checks specifically to see if two means are the same (the null hypothesis). A z-test can only be used when the population standard deviation is known and the sample size is 30 data points or more.
It is given that a sample of 49 eggs yields a sample mean weight of 2.00 ounces
Sample mean , x = 1.69
Population, SD =σ = 0.46
Sample size = n =49
Significance level = α =0.05
The critical value Z* = 1.960
Margin of error = Z* (σ /√n) = 1.96 (0.46/√49) = 0.1288≈ 0.13
Hence, the margin of error is 0.13
To know more about 'margin of error' related questions
visit- https://brainly.com/question/10501147
#SPJ4
Simplify the following expression as a
monomial:
-60b8
————
-2065
Answer:
3b^3
Step-by-step explanation:
I assume the 6 in the denominator should be b.
-60 / -20 = 3
b^8/b^5 = b^(8 - 5) = b^3
Answer: 3b^3
Professor Macor has conditioned her cat Prince to come running when she crinkles his bag of kitty treats. In terms of classical conditioning, crinkling the bag of treats serves as the:
In terms of classical conditioning, crinkling the bag of kitty treats serves as the conditioned stimulus. Classical conditioning involves the association of a neutral stimulus (conditioned stimulus) with a naturally occurring stimulus (unconditioned stimulus) to elicit a response.
Classical conditioning is a type of learning in which a neutral stimulus becomes associated with a naturally occurring stimulus to elicit a response. In this scenario, crinkling the bag of kitty treats is the neutral stimulus that becomes associated with the naturally occurring stimulus, which is the pleasure of eating treats for the cat.
The conditioned stimulus is the previously neutral stimulus that, through repeated pairing with the unconditioned stimulus (the naturally occurring stimulus), triggers a response. In this case, the crinkling sound of the bag becomes the conditioned stimulus because it is repeatedly paired with the unconditioned stimulus (the pleasure of eating treats), leading to the cat's response of coming running when it hears the bag being crinkled.
Over time, the cat learns to associate the sound of the crinkling bag with the reward of receiving treats, and the conditioned response of coming running is elicited by the conditioned stimulus alone, even without the presence of the unconditioned stimulus (the actual treats). This demonstrates the process of classical conditioning.
learn more about Classical conditioning here:
https://brainly.com/question/29649875
#SPJ11
if the mpc = 4/5, then the government purchases multiplier is a. 20. b. 5/4. c. 4/5. d. 5.
If the marginal propensity to consume(mpc) = 4/5 then the government purchases multiplier is 5. Therefore, the answer is (d) 5.
What is the marginal propensity to consume(mpc)?The marginal propensity to consume (MPC) is the fraction of each additional unit of income that is spent on consumption. In other words, it is the change in consumption that results from a one-unit change in income.
What is a government purchase multiplier?The government purchases multiplier is a measure of the impact that changes in government purchases of goods and services have on the overall economy. It is the ratio of the change in the equilibrium level of real GDP to the change in government purchases.
According to the given informationThe government purchases multiplier (K) is calculated using the formula:
K = 1 / (1 - MPC)
where MPC represents the marginal propensity to consume.
In this case, the MPC is given as 4/5, so we can substitute this value into the formula:
K = 1 / (1 - 4/5)
= 1 / (1/5)
= 5
Therefore, the government puchases multiplier is 5. Therefore, the answer is (d) 5.
To know more about the MPC visit:
brainly.com/question/19089833
#SPJ1
given the function f(x)=5(x+4)-6 solve fot the inverse function when x=19
Answer:
I got 109
Step-by-step explanation:
f(x)=5(x+4)-6 x=19
f(19)=5(19+4)-6
*Add 19 + 4 because it is in ()* f(19)=5(23)-6
*Multiply because it is the first in the order of operations* f(19)=115-6
*Now just subtract* f(19)= 109
During the rebuilding after World War II, we were short of tractors. The machine and tractor stations would lend each other equipment as needed. Three machine and tractor stations were neighbors. The first lent the second and third as many tractors as they each already had. A few months later, the second lent the first and third as many as they each had. Still later, the third lent the first and second as many as they each already had. Each station now had 24 tractors.
How many tractors did each station originally have?
The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;
The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors
What are simultaneous equations?Simultaneous equations are a set of two or more equations that have common variables.
Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station
According to the details in the question, after the first transaction, we get
Number of tractors at the first station = x - y - z
Number of tractors at the second station = y + y = 2·y
Number of tractors at the third station = z + z = 2·z
After the second transaction, we get;
Number of tractors at the first station = 2·x - 2·y - 2·z
Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z
Number of tractors at the third station = 2·z + 2·z = 4·z
After the third transaction, we get;
Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z
Number of tractors at the second tractor station = 6·y - 2·x - 2·z
Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y
The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)
6·y - 2·x - 2·z = 24...(2)
7·z - x - y = 24...(3)
Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;
12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24
16·y - 8·x = 24...(4)
Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;
14·z - 2·x - 2·y = 48
42·y - 14·x - 14·z = 168
42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168
40·y - 16·x = 216...(5)
Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;
40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168
8·y = 168
y = 168/8 = 21
The number of tractors initially at the second station, y = 21
16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24
8·x = 16 × 21 - 24 = 312
x = 312 ÷ 8 = 39
The number of tractors initially at the first station, x = 39
7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24
7·z = 24 + 39 + 21 = 84
z = 84/7 = 12
The number of tractors initially at the third station, z = 12
Learn more about simultaneous equations here:
https://brainly.com/question/21902579
#SPJ1
Find the average rate of change of g(x)= 7x^4+7/x^3 on the interval [2,3]
Paula went to the salon and had 1/2 of an inch of hair cut off. The next day she went back and asked for another 5/6 of an inch to be cut off. How much hair did she have to cut in all?
Answer: 1 and 1/3 or 1 and 2/6
Step-by-step explanation: 1/2 x 3 = 3/6
3/6+5/6= 1 and 2/6 or 1 and 1/3
Please help will mark brainliest
Answer:
-1/5
Step-by-step explanation:
A car wash has two employees on duty.
Employee I can finish washing a car in 30 minutes.
Employee 2 can finish washing a car in 20 minutes.
.
How long will it take the tiro employees to wash a car together?
Answer:
60 minutes
Step-by-step explanation:
Given that Employee I can finish washing a car in 30 minutes. and
employee 2 can finish washing a car in 20 minutes.
Assuming that both will wath the car together after n minutes.
So, n must be the integral multiple of 30 as well as 20.
For niminum value of n, n must be the lowest common factor of 30 and 20.
\(\Rightarrow n = LCM(30,20) \\\\\Rightarrow n = 60.\)
Hence, after 60 minutes, they will wash a care togethre.
Let R1= {(1, 2), (2, 3), (3, 4)} and R2= {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4)} be relations from {1, 2, 3} to {1, 2, 3, 4}. Then find the indicated relations.
(Write the ordered pairs (a,b) in increasing order of first a and then b, separated by commas with one space after commas. For example, (1, 2), (1, 4), (2, 3), (3, 4), (3, 5).)
(Please enter "null" if the relations consist of no ordered pairs.)
a) Find the union of the given relations R1 and R2.
R1 U R2 is _____.
b) Find the intersection of the given relations R1 and R2.
c) Find the difference of the given relation R2 from R1.
d) Find the difference of the given relation R1 from R2.
a) Union of the given relations R1 and R2, R1 U R2 is {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4)}.
Given, R1 = {(1, 2), (2, 3), (3, 4)}R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4)}To find the union of two sets, we have to take all the elements in both the sets. The union of two sets A and B is the set of elements, which are in A or in B or in both. Therefore, R1 U R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4)}.b) Intersection of the given relations R1 and R2. The intersection of R1 and R2 is {(1, 2), (2, 3)}
The intersection of two sets A and B is the set of elements which are in A and B both. Therefore, R1 ∩ R2 = {(1, 2), (2, 3)}.c) Difference of the given relation R2 from R1. R2 - R1 is {(1, 1), (2, 1), (2, 2), (3, 1), (3, 2), (3, 3)}.In this case, we need to subtract the set R1 from set R2, that is R2 - R1. Therefore, R2 - R1 = {(1, 1), (2, 1), (2, 2), (3, 1), (3, 2), (3, 3)}.d) Difference of the given relation R1 from R2. R1 - R2 is full explanation:In this case, we need to subtract the set R2 from set R1, that is R1 - R2. Therefore, R1 - R2 is null since R2 has some elements which are not in R1. Hence the main answer is null.
To know more about the Union of the given relations visit:
https://brainly.com/question/23452130
#SPJ11
1/8 of a cup of cinnamon was sprinkle evenly over some pieces of toast. if 1/32 of a cup was sprinkled on each piece, how many pieces were sprinklered?
A) 4
B) 6
C) 7
D) 8
Answer:
the answer is 4
Step-by-step explanation:
i took the test =p
Michael brought 2 gallons of lemonade for his class party. How many 1 cup servings does he have for his class? (1 gallon = 16 cups) *
At store A is costs $8.36 for 2 board games. At store B you can get 3 board games for $12.84, Which store has the better deal? Explain how you would solve this problem and how you determined the better deal
Divide the total cost by the number of games bought. The store with the lowest amount is the better buy.
Store A : 8.36/2 = $4.18 each game
Store B: 12.84/3 = $4.28 each game
Store A has the lower price per game so Store A has the better deal.
What is the opposite of 8.4
Answer:
-8.4
Step-by-step explanation:
Because if you want to find the opposite of a number then you find that same number on the other side on the number line for example, -4.5 you would go on the other side and you would get positive 4.5
Answer:
If you're refering to the additive inverse then it's, -8.4
Step-by-step explanation:
To get an additive inverse or more so an opposite, you simply add the negative to the original for 0.
Example: 8.4 + -8.4 = 0
Which angle has sides DB and DC? Select all that apply.
No, rectangle DABC is not the result of a dilation of rectangle HEFG with a center of dilation at the origin.
What is dilation?Dilation is a geometrical transformation that changes the size of a shape or figure. It is one of the four basic transformations of geometry alongside translation, rotation, and reflection. Dilation involves resizing a shape by a scale factor and keeping its overall shape intact. The scale factor is the ratio of the size of the image to the size of the original figure.
Dilation involves a scaling of a shape, where each point on the shape is moved away from or closer to the center of dilation, proportional to its distance from the center. In this case, the angles of rectangle DABC are different from the angles of rectangle HEFG, so it is not the result of a dilation. The angles of rectangle HEFG are ∠2, ∠33, ∠EDC, whereas the angles of rectangle DABC are ∠ADB, ∠BDC, and ∠CDB.
To learn more about dilation
https://brainly.com/question/26855848
#SPJ1
After withdrawing $58, Mark
had $200 dollars left in his
savings account. How much
money was in the account
before the withdrawal?
please help me solve this
Answer:
z=97 y=7
Step-by-step explanation:
Simplify (5. 5)2+5. 75⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√+9(5. 5)2+5. 75+9 using rational numbers
The simplified expression using rational numbers is 82.25.
First, let's start by defining what a rational number is. A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. For example, 2/3, 5, and -7/2 are all rational numbers.
Now, let's simplify the expression using rational numbers. We can start by simplifying (5.5)² and 9(5.5)².
(5.5)² is equal to 30.25, which is a rational number because it can be expressed as 121/4.
9(5.5)² is equal to 9 times 30.25, which is equal to 272.25. This is also a rational number because it can be expressed as 109/4.
Next, let's simplify √5.75. To do this, we need to express the square root as a rational number. We can do this by rationalizing the denominator.
To rationalize the denominator, we multiply both the numerator and denominator of the expression by the conjugate of the denominator. In this case, the conjugate of √5.75 is √5.75.
So, 5.75√ can be simplified as follows:
5.75√ = 5.75√5.75/√5.75
= 5.75√5.75/5.75
= √5.75
Now, we can rewrite the expression as:
(121/4) + √5.75 + (109/4) + 5.75 + 9
Combining like terms, we get:
(121/4) + (109/4) + 15.75 + 9
Simplifying further, we get:
(230/4) + 15.75 + 9
= 57.5 + 15.75 + 9
= 82.25
To know more about rational number here
https://brainly.com/question/24540810
#SPJ4
Put these numbers in order from greatest to least.
-5.8, -5, 5.6
Therefore , the solution of the given problem of expressions comes out to 5.6, -5, -5.8 .
What precisely is an expression?Instead of producing estimates at random, it is better to utilize movable numerals variables, which can be rising, falling, or blocking. They could only help one another by sharing materials, information, or solutions to issues. A declaration of truth may contain arguments, elements, and annotations to mathematical operations like additional disapproval, manufacturing, and mixture.
Here,
Sort these figures from greatest to least in sequence.
=> -5.8, -5, 5.6
So,
=>5.6, -5, -5.8
Therefore , the solution of the given problem of expressions comes out to
5.6, -5, -5.8 .
To know more about expressions visit :-
brainly.com/question/14083225
#SPJ1
What is the scale factor from AABC to ADEF?
E
15
4
12
9
F
B
A 3 C
A. 2
O B.
1
O C. -
2
OD. 3
LL
Multipliying all three corresponding sides by the same factor of 3, the scale factor from AABC to ADEF is 3.
Therefore, the answer is (A) 3.
To find the scale factor from AABC to ADEF, we need to compare the corresponding sides.
Starting with side AB, we see that it corresponds to side DE. The length of AB is 4, and the length of DE is 12. To get from 4 to 12, we need to multiply by 3.
Moving on to side AC, we see that it corresponds to side DF. The length of AC is 15, and the length of DF is 45. To get from 15 to 45, we need to multiply by 3.
Finally, side BC corresponds to EF. The length of BC is 9, and the length of EF is 27. To get from 9 to 27, we need to multiply by 3.
Since we multiplied all three corresponding sides by the same factor of 3, the scale factor from AABC to ADEF is 3.
Therefore, the answer is (A) 3.
Learn more about factor brainly.com/question/29128446
#SPJ11
Donna is taking out an amortized loan for $72,000 to open a small business and is deciding between the offers from two lenders. She wants to know which one would be the better deal over the life of the small business loan, and by how much. (a) A savings and loan association has offered her a - 9 year small business loan at an annual interest rate of 11.1%. Find the monthly payment. (b) Her credit union has offered her a - 9 year small business loan at an annual interest rate of 10.9% . Find the monthly payment. (c) Suppose Donna pays the monthly payment each month for the full term. Which lender's small business loan would have the lowest total amount to pay off, and by how much?
Loan offer (b) from the credit union would be the better deal over the life of the small business loan, saving Donna approximately $234.56 compared to Loan offer (a) from the savings and loan association.
(a) Loan offer from the savings and loan association:
Loan amount: $72,000
Loan term: 9 years (108 months)
Annual interest rate: 11.1%
To calculate the monthly payment, we can use the formula for the amortized loan:
Monthly interest rate = (1 + Annual interest rate)^(1/12) - 1
Loan term in months = Loan term in years * 12
Monthly payment = Loan amount * (Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Loan term in months))
Substituting the given values:
Monthly interest rate = (1 + 0.111)^(1/12) - 1 ≈ 0.008806
Loan term in months = 9 * 12 = 108
Monthly payment = 72000 * 0.008806 / (1 - (1 + 0.008806)^(-108))
Monthly payment ≈ $922.14
(b) Loan offer from the credit union:
Loan amount: $72,000
Loan term: 9 years (108 months)
Annual interest rate: 10.9%
Using the same formula as above, but substituting the new interest rate:
Monthly interest rate = (1 + 0.109)^(1/12) - 1 ≈ 0.008537
Monthly payment = 72000 * 0.008537 / (1 - (1 + 0.008537)^(-108))
Monthly payment ≈ $917.97
(c) To determine which lender's small business loan would have the lowest total amount to pay off, we need to compare the total amount paid for both loans. Since the loan term and loan amount are the same for both lenders, we can compare the total payments based on the monthly payment.
Total payment for Loan offer (a) = Monthly payment * Loan term in months ≈ $922.14 * 108 ≈ $99,572.32
Total payment for Loan offer (b) = Monthly payment * Loan term in months ≈ $917.97 * 108 ≈ $99,337.76
Comparing the total payment amounts, we can see that Loan offer (b) from the credit union has the lowest total amount to pay off by approximately $234.56.
Therefore, based on the calculations, Loan offer (b) from the credit union would be the better deal over the life of the small business loan, saving Donna approximately $234.56 compared to Loan offer (a) from the savings and loan association.
Learn more about Loan from the given link:
https://brainly.com/question/20688650
#SPJ11
(Q2) Order the sides of ΔDEF from shortest to longest.
The order would be DE < FD < EF. To order the sides of triangle ΔDEF from shortest to longest, you need to compare the lengths of the sides.
1. Determine the lengths of sides DE, EF, and FD.
2. Compare the lengths to find the shortest side.
3. Identify the next shortest side.
4. The remaining side will be the longest.
Once you have the side lengths, simply arrange them in ascending order (from shortest to longest) to answer your question. For example, if DE is 3 units, EF is 5 units, and FD is 4 units, the order would be DE < FD < EF.
learn more about triangles here: brainly.com/question/1163433
#SPJ11
A bowl weighs 11/40
lb. Express this as a decimal.
Answer:
Decimal: 0.275 Percentage: 27.5
Step-by-step explanation: