Here is a scale diagram of part of a wall.
Scale: 4 cm represents 1
Kamran measured the dimensions on the diagram to be 8 cm and 4 cm.
Kamran is going to cover this part of the wall with square tiles.
Each tile has sides of length 10cm.
The tiles cost 25p each.
Kamran spends £60 on tiles.
Show that Kamran has bought enough tiles.
(4 marks)
Kamran bought
tiles
Kamran needs
tiles
Please answer urgently and detailed !!!!
As Kamran has bought tiles for $60 while he needs only $50 tiles, therefore, he has bought enough tiles to cover the entire wall.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given the length of the wall on the diagram is 8 cm by 4 cm. And it is given that 4 cm is equal to 1 meters. Therefore, the original dimensions of the wall are,
8 cm → 8×(1/4) → 2 meters = 200 cms.
4 cm → 4×(1/4) → 1 meters = 100 cms
Now, the area of the wall in reality is 200 cm by 100 cm. Therefore, the total area of the wall is,
Total area = 200 cm × 100 cm = 20,000 cm²
The area of a single square tile of side length 10 cm is,
Area of a single tile = 10cm × 10cm = 100 cm²
The number of tiles that will be needed to cove the entire wall will be,
Number of tiles needed = 20000 / 100 = 200
Since the cost of a single tile is $0.25, therefore, the cost of 200 tiles will be,
Cost of 200 tiles = $0.25× 200 = $50
As Kamran has bought tiles for $60 while he needs only $50 tiles, therefore, he has bought enough tiles to cover the entire wall.
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A scientist dropped an object from height of 320 feet. The height of the object is modeled by the equation h=320 - 16t^2 . After how much time will the object hit the ground?
v/20 seconds
10 seconds
40 seconds
20 seconds
Answer:
√20
Step-by-step explanation:
hit the ground means h = 0
0 = 320 - 16t²
16t² = 320
t² = 320/16 = 20
t = √20
It will take √20 the object hit the ground.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
given:
A scientist dropped an object from height of 320 feet.
The height of the object is modeled by the equation
h(t) =320 - 16t²
When the object hit the ground means, h = 0
So, h = 320 - 16t²
16t² = 320
t² = 320/16 = 20
t = √20
Hence, it will take √20 the object hit the ground.
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Elliot is paid $12.50 an hour for regular time work. He is paid time and a half for any work over 40 hours from Monday through Friday. Elliot is paid double time any hours worked on the weekend. A. What is Elliots time and a half pay rate? B. What is his double time pay rate?
A) multiply his hourly rate by 1.5
12.50 x 1.5 = $18.75
B) double time is 2 times. Multiply his hourly rate by 2:
12.50 x 2 = $25
Help this is my last question can somebody plz b help me?
Answer:
y = (4/3)x
Step-by-step explanation:
You have to find the y-intercept, b. Do this by substituting in the x and y values into the equation:
12 = (4/3)(9) + b
12 = 12 + b
b = 0
So, y = (4/3)x
Hope that helps! :D
Answer: y = 4/3x
y = -3/4x + 1 ⇔ 3x + 4y - 4 = 0
have:
(d): perpendicular to 3x + 4y - 4 = 0
contains the point (9;12)
=> (d): 4x - 3y + 3.12 - 4.9 = 0 ⇔ 4x - 3y = 0 ⇔ y = 4/3.x
Step-by-step explanation:
.Study 1: National Cancer Institute, Harvard University and other institutions
The researchers collected data about people's exercise habits from 661,000 adults, predominantly middle-aged, from six large ongoing health surveys. They segmented this data using weekly exercise time as a parameter. The ranges varied from no exercise to almost 10 times the current recommendations (moderate exercise for 25 hours per week or more). Then, 14 years' worth of death records for the group were compared to the exercise records. The effort yielded the following major results:
The group with no exercise times were at the highest risk of early death.
Minimal exercise less than the recommended level was still able to mitigate the risk of premature death by 20%.
The group who followed the generally prescribed guideline of 150 min/week of moderate exercise had reduced probabilities of early death by 31%.
The optimum level of health benefits were yielded in people who exercised thrice the recommended levels and had lowered their risk of premature death by 39%.
Any further increase in exercise yielded insignificant incremental benefits with regards to mortality risk. However, the exercise also did not adversely affect their mortality risk.
Study 2: James Cook University in Cairns
Their methodology was similar to the other study. The researchers collected health survey data for more than 200,000 Australian adults, followed by comparison with corresponding death statistics. However, the stratification in their case was taken another level forward in that they further segmented the sample data regarding exercise times into various stress levels of the exercise varying from normal to vigorous.
The results, unsurprisingly, were similar in nature with a few additional insights:
Meeting the generally recommended exercise guidelines substantially reduced the risk of early death, even with moderate exercise such as walking.
Occasional vigorous exercise did not yield any significant reduction in mortality; however, those who spent up to 30 percent of their weekly exercise time in vigorous activities were 9 percent less likely to die prematurely. With more than 30% of their time dedicated to strenuous activities, people gained an extra 13% reduction in early mortality, compared with people who stuck to moderate exercise levels. Very high levels of intense exercise did not improve mortality risk rates significantly.
In conclusion, although these two studies may not put an end to the debate about the right "dosage" of exercise for a healthy life; it can be said that 150 minutes of vigorous exercise per week seems to be effective in reducing mortality risks.
The two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.
Study 1 was carried out by the National Cancer Institute and Harvard University, and they collected information about the exercise habits of around 661,000 middle-aged adults from six large ongoing health surveys. They then divided the data into various segments based on the weekly exercise time as a parameter.
The group with no exercise had the highest risk of premature death. Minimal exercise that is less than the recommended levels could still reduce the risk of premature death by 20%.
The group that followed the standard exercise guidelines of 150 min/week of moderate exercise had a 31% lower probability of premature death. Individuals who exercised three times the recommended levels had the best benefits, with a 39% reduction in the risk of premature death.
However, increasing the exercise time did not have a significant effect on mortality risk rates. Study 2 was conducted by James Cook University in Cairns. They collected health survey data for over 200,000 Australian adults, which was then analyzed with corresponding death statistics. Their analysis was more detailed than the first study since they divided the data according to exercise stress levels ranging from normal to strenuous.
The results were similar to the first study, but there were some additional findings. The study showed that adhering to the general recommended exercise guidelines substantially decreased the risk of premature death, even with moderate exercise like walking. Intense exercise had little to no effect on mortality rates.
However, those who spent up to 30 percent of their weekly exercise time in vigorous activities were 9 percent less likely to die prematurely. With more than 30% of their time dedicated to strenuous activities, people gained an extra 13% reduction in early mortality, compared with people who stuck to moderate exercise levels. Very high levels of intense exercise did not improve mortality risk rates significantly.
In conclusion, the two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.
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2.085x10^5 in standard form
Answer:
?jsp?3×4=5/6(9÷43)=2×3=45/_<7<78>(56)
what is 2 time 30000
Answer:
60000
Step-by-step explanation:
Answer:
60,000
Step-by-step explanation:
2 times 30,000 is 60,000
3 pls pls pls help me
Answer:
I think the answer is c
Step-by-step explanation:
I need help I don't get this
Answer: well i don’t know but I do know that the one with the Square in it is 90°
EF=90
Step-by-step explanation:
Answer:
\(ef = 90 \\ dce = 80 + 47 + 90 = 217 \\ ed = 360 - 217 = 143\)
What were Morrie's errors? Check all that apply. He should have made all the signs positive. He should have changed Negative StartFraction 5 over 6 EndFraction minus (negative three-fourths) to Negative StartFraction 5 over 6 EndFraction + three-fourths He should have found the common denominator, 12. He should have subtracted StartFraction 5 over 6 EndFraction and Three-fourths The answer should be Negative StartFraction 1 over 12 EndFraction
Answer:
The answer should be B C and E!Thank me later.Don worry i took this question!Good luck!
Step-by-step explanation:
Answer:
the guy above me correct thank u
Step-by-step explanation:
The total amount of money saved in
dollars by Jerod and Janine is below,
where w represents the number of
weeks they have been saving.
Jerod: 64 + 8W
Janine: 92 +6w
How many weeks does it take for Jerod
and Janine to have the same amount
A bakery sells 6 bagels for $2.64 complete the table to illustrate the unit price of a bagel
Answer:
I don't know what type of table you are talking about but to find the unit price divide 2.64/6
Please help me on this!
The correct answer ofr this question is option D
a person eating at a cafeteria must choose 3 of the 19 vegetables on offer. calculate the number of elements in the sample space for this experiment.
The number of elements in the sample space for this experiment are 969 by combination formula.
In an experiment where a person eating at a cafeteria choose 3 out of the 19 vegetables on offer, the number of elements in the sample space is 969.
A sample space of an experiment is the set of all possible outcomes of a random experiment. So the number of elements in a sample space is the total number of possible outcomes of the experiment.
Here the experiment is choosing 3 vegetables from a set of 19 vegetables offered. The total number of ways to choose 3 out of 19 distinct vegetables = \(^{19}C_{3}\)
= \(\frac{19!}{3!\times16!}\)
= 969
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Suppose the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales. Find the z-score associated with the upper boundary of of this price range.
Answer:
The z-score associated with the upper boundary of of this price range is -0.25.
Step-by-step explanation:
It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.
If X represents the price range of drink sales, then
P (X < x) = 0.40
Consider that X follows a Normal distribution.
To compute the probability of a normally distributed random variable we need to first convert the raw score to the z-scores.
The formula to z-score is:
\(z=\frac{X-\mu}{\sigma}\)
Then,
P (X < x) = 0.40
⇒ P (Z < z) = 0.40
The value of z for this probability is:
z = -0.25
*Use a z-table.
Thus, the z-score associated with the upper boundary of of this price range is -0.25.
Answer:
-0.25
Step-by-step explanation:
correct on plato
List five tasks that a layer can perform. is it possible that one (or more) of these tasks could be performed by two (or more) layers?
Error control, flow control, segmentation and reassembly, multiplexing, and connection setup are five tasks that a layer can perform.
Flow control: It is the efficient management of data flow between two or more devices like computers or nodes of a network.
Error control: The identification and correction of errors that occur during the transmission of data is called error control.
Segmentation and reassembly: Data to be transmitted is divided into small parts or chunks for convenience. This process is called segmentation. The combining of these chunks to reform the original data is called reassembling.
Multiplexing: The process of combination of digital data streams in one signal over a shared medium is known as multiplexing.
Connection setup: Establishing a connection between two devices that are connected to the same network is called connection setup.
All these tasks can be duplicated at different layers.
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If f (x) = 4x-3, what is f (x)"?
Answer:
4x-3
Step-by-step explanation:
F(x) is a function group. In this scenario, f(x) = 4x-3 where x is equal to x.
Need postulate with explanation
ΔABD ≅ ΔCBD based on the SAS Congruence Postulate.
What is the SAS Congruence Postulate?The SAS Congruence Postulate is a principle in geometry that states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Since B is the midpoint of AC, therefore AB ≅ CB (one pair of congruent sides).
Based on the reflexive property of congruence, BD ≅ BD (another pair of congruent sides).
Since AC is perpendicular to BD, therefore angles ABD and CBD are right angles, which means <ABD ≅ <CBD (one pair of included congruent angles).
Therefore, based on the SAS congruence postulate, ΔABD ≅ ΔCBD.
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. if seven balanced dice are rolled, what is the probability that each of the six different numbers will appear at least once?
The probability that each of the six different numbers will appear at least once when rolling seven balanced dice can be calculated by subtracting the cases where at least one number is missing from the total number of outcomes:
Probability = [6! - 6 * (5!) + (6 choose 2) * (4!) - (6 choose 3) * (3!) + (6 choose 4) * (2!) - (6 choose 5) * (1!) + (6 choose 6) * (0!)] / (6^7)
The probability of each of the six different numbers appearing at least once when rolling seven balanced dice can be calculated using the concept of permutations and combinations.
To find the probability, we need to consider the total number of possible outcomes and the number of favorable outcomes.
1. Total number of outcomes:
When rolling seven dice, each die has six possible outcomes (numbers 1 to 6). Since each die is rolled independently, the total number of outcomes is calculated by multiplying the number of outcomes for each die: 6 * 6 * 6 * 6 * 6 * 6 * 6 = 6^7.
2. Favorable outcomes:
For each number to appear at least once, we can calculate the number of ways in which this can happen. One way to approach this is by considering the cases where each number appears exactly once and then subtracting the cases where at least one number doesn't appear.
- Number of ways for each number to appear exactly once:
Since there are six different numbers, we can assign one number to each die in 6! (6 factorial) ways. This means that there are 6! favorable outcomes where each number appears exactly once.
- Number of ways for at least one number to not appear:
We can use the principle of inclusion-exclusion to calculate the number of ways where at least one number doesn't appear. There are 6^7 - 6! ways to roll the seven dice without any restrictions. However, we need to subtract the cases where at least one number is missing.
- Number of ways with one missing number: We can choose one number to be missing in 6 ways, and the remaining numbers can be assigned to the dice in (6-1)! ways. So, there are 6 * (5!) favorable outcomes with one missing number.
- Number of ways with two missing numbers: We can choose two numbers to be missing in (6 choose 2) ways, and the remaining numbers can be assigned to the dice in (6-2)! ways. So, there are (6 choose 2) * (4!) favorable outcomes with two missing numbers.
- Similarly, we can calculate the number of ways with three, four, five, and six missing numbers.
3. Calculating the probability:
To calculate the probability, we divide the number of favorable outcomes by the total number of outcomes:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Therefore, the probability that each of the six different numbers will appear at least once when rolling seven balanced dice can be calculated by subtracting the cases where at least one number is missing from the total number of outcomes:
Probability = [6! - 6 * (5!) + (6 choose 2) * (4!) - (6 choose 3) * (3!) + (6 choose 4) * (2!) - (6 choose 5) * (1!) + (6 choose 6) * (0!)] / (6^7)
Simplifying this expression will give us the final probability.
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Glenda paid $23 for 6 books.What is the rate that Glenda paid for each book?
Answer:
$\(3.83\)
Step-by-step explanation:
\(23\) divided by \(6=3.83333333333.....\)
We round to nearest cent. \(3.83\)
The premiter of a rectangular rug is 40 feet. Its length is 12 feet. What is the width
Students sell 80% of the books at a book sale. They sell 48 books in all. How many books are at the book sale? Show your work
The total number of books on the book stall would be 60.
What is percentage?Percentage represents a number or a ratio which is a fraction of 100. It is represented by a "%" sign. We can write -
a% of b as -
(a/100 x b)
(ab/100)
Given is that students sell 80% of the books at a book sale. They sell 48 books in all.
Assume the total number of books on the stall be {x}. Then, we can write the sold books as -
48 = 80% of {x}
48 = 80x/100
48 = 8x/1
x = 60 books
Therefore, the total number of books on the book sale stall would be 60.
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What is the precent increase or decrease if a product that used to cost $90 now costs $126?
The percent increase for the given cost is 40%.
What is percent change?To determine percent change, use the formula percent change = (new value - old value) / old value * 100%.
The percentage increase or decrease between two numbers is determined using this formula. To calculate the percentage change, subtract the old value from the new value, divide the result by the old value, and then multiply the result by 100.
The percent change is given by the formula:
percent change = (new value - old value) / old value * 100%
Substituting the cost we have:
percent change = (126 - 90) / 90 * 100%
percent change = 36 / 90 * 100%
percent change = 0.4 * 100%
percent change = 40%
Hence, the percent increase for the given cost is 40%.
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A shipping service charges $0.41 for the first ounce and $0.21 for each additional ounce of package weight, Write an equation to represent the price P of shipping a package that weighs x ounces, for any whole number of ounces greater than or equal to 1.
We know that they charge $0.41 for the first ounce and $0.21 for each additional ounce.
Based on the given information, we can define the following equation
\(P=0.41+0.21x\)Where x represents ounces.
four scatterplots are shown. Which scatterplot shows a positive non-linear correlation?
Scatterplot D is likely the best representation of a positive non-linear correlation.
What is non-linear correlation?Non-linear correlation is the relationship between two or more variables in which the change in one variable does not correspond linearly with the change in the other variable. It is used to describe a wide range of complex relationships between variables that cannot be accurately described by linear relationships. Non-linear correlation can be used to identify outliers, to understand the relative importance of different factors, and to detect non-linear relationships between variables.
This can be seen from the pattern of the points, which curve upwards from the lower left corner to the upper right corner. This curved pattern indicates that as the independent variable increases, the corresponding dependent variable also increases in a non-linear fashion. Therefore, as the independent variable continues to increase, the dependent variable will increase more quickly. In contrast, the other scatterplots shown are either linear or lack any significant pattern.
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Prove that 3+2 root 3 is irrational
Answer:
Hi friend,
Let 3+2√3 is a rational number.
A rational number can be written in the form of p/q.
3+2√3=p/q
√3=p/2q-3
√3=p-6q/2q
p,q are integers then (p-6q)/2q is a rational number.
But this contradicts the fact that √3 is an irrational number.
So,our statement supposed is false.
Therefore,3+2√3 is an irrational number.
Step-by-step explanation:
Answer:
in the explanation
Step-by-step explanation:
The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).
Hope this helps!
9. Evaluate 14(-6x +10) - 16x - 100x + 140 for x = -2.
Answer:
680
Step-by-step explanation:
14(-6x +10) - 16x - 100x + 140 for x = -2.
14(-6(-2) + 10) - 16(-2) - 100(-2) + 140
14(12 + 10) + 32 + 200 + 140
14(22) + 372
308 + 372
680
treasury securities are issued and backed by the u.s. government and, therefore, are considered to be the lowest-risk securities on the market. as an investor looking for protection against inflation, you are considering the purchase of inflation-adjusted bonds known as u.s. treasury inflation-protected securities (tips). with these securities, the face value (which is paid at maturity) is regularly adjusted to account for inflation; however, the semiannual interest payment (called the bond dividend) remains the same. you purchased a 10-year $10,000 tips bond with dividend of 4% per year payable semiannually (i.e., $200 every 6 months). assume there is no inflation adjustment for the first 5 years, but in years 6 through 10, the bond face value increases by $1150 each year. you use an expected investment return of 14% per year compounded semiannually. note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. what is the net amount of money that you will have received during the 10-year life of the bond without any consideration of dividend reinvestment? the total net amount of money that you would have received is $
The net amount of money that you will have received during the 10-year life of the bond without any consideration of dividend reinvestment can be calculated by considering the semiannual interest payments and the inflation-adjusted face value of the bond.
The total net amount of money that you would have received is $17,750. The calculations are done as follows:
First, let's calculate the total interest payments over the 10-year period. The bond has a face value of $10,000 and a dividend rate of 4% per year payable semiannually. Since there are two interest payments per year, the semiannual interest payment is $200 ($10,000 * 4% / 2)
Over the first 5 years, there is no inflation adjustment, so the face value remains at $10,000.
Therefore, the total interest payments for these 5 years would be:
5 years * 2 payments per year * $200 per payment = $2,000.
In years 6 through 10, the face value increases by $1,150 each year. So, the face value at the end of year 6 would be $11,150, at the end of year 7 would be $12,300, and so on.
The total interest payments for these 5 years would be:
5 years * 2 payments per year * $200 per payment = $2,000.
Now, let's calculate the total face value at the end of the bond's life. At the end of year 5, the face value is $10,000. From year 6 to year 10, the face value increases by $1,150 each year.
So, the total face value at the end of year 10 would be:
$10,000 + $1,150 + $1,150 + $1,150 + $1,150 + $1,150 = $15,750.
Therefore, the net amount of money that you will have received during the 10-year life of the bond without any consideration of dividend reinvestment is the sum of the interest payments and the face value:
Total interest payments = $2,000
Total face value = $15,750
Net amount = Total interest payments + Total face value
Net amount = $2,000 + $15,750
Net amount = $17,750.
So, the total net amount of money that you would have received is $17,750.
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Simplify and then classify by degree and number of terms with an explanation
Step 1: Write out the expression to simplify
\(2x+3x^2(4x-5)\)Step 2: Remove the bracket using distribution property
\(\begin{gathered} 2x+3x^2(4x-5)\Rightarrow2x+3x^2(4x)-3x^2(5) \\ \Rightarrow2x+12x^3-15x^2 \end{gathered}\)Step 3: Rewrite the resulting expression in order of degree and state the degree and the number of terms
\(12x^3-15x^2+2x\)The degree is 3 (third degree) as the highest power of the variable is 3, there are three terms in the expression
Hence, the expression is a cubic expression (degree 3) and a trinomial (3 terms)
Instructions = a. Perform a horizontal percent of base year analysis of WestJet's income statement and balance sheet, assuming 2013 is the base year. b. Using the analyses you prepared in part (a), id
The task requires performing a horizontal percent of base year analysis on WestJet's income statement and balance sheet, considering 2013 as the base year. This analysis will help identify the trends and changes in financial figures over the specified period.
To conduct a horizontal percent of base year analysis, we compare the financial figures of subsequent years to the base year and calculate the percentage change. Here's how the analysis can be performed:
a. Income Statement Analysis:
Calculate the percentage change in each line item of the income statement by comparing it to the corresponding figure in the base year (2013).
For example, if the revenue in 2013 is $100 and it increases to $120 in 2014, the percentage change would be [(120 - 100) / 100] * 100 = 20%.
Perform this calculation for each line item in the income statement to determine the percentage change for each year.
b. Balance Sheet Analysis:
Similar to the income statement analysis, calculate the percentage change in each line item of the balance sheet by comparing it to the corresponding figure in the base year (2013).
For example, if the total assets in 2013 are $500 and they increase to $600 in 2014, the percentage change would be [(600 - 500) / 500] * 100 = 20%.
Perform this calculation for each line item in the balance sheet to determine the percentage change for each year.
Using the analyses prepared in part (a), we can identify the trends and changes in WestJet's income statement and balance sheet over the specified period. By comparing the percentage changes, we can determine which line items have shown significant growth or decline compared to the base year. This analysis helps in assessing the company's financial performance, identifying areas of strength or weakness, and making informed decisions based on the observed trends.
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