Answer:
hi
x+102° =180°[ Being cointerior angle]
x=180°-102°
x=78°
Also,
y=102°[ the opposite angle of parallelogram are equal]
z=78°[ the opposite of parallelogram are equal]
Hence, x=78°,y=102° and z=78°
Dr.Osborne has scheduled Anita Blanchette for a spirometry test and wants you to telephone her the day before the test to prepare her so that optimal results are obtained.
1.) What information do you give Anita before her spirometry so that the best test results can be obtained?
2.) How would you explain the rationale for the performance of this procedure?
To ensure the best test results, Anita should be provided with the following information before her spirometry:
1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.
2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.
3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.
4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.
The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.
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Simplify . (x ^ 5)/(x ^ 2).
Answer:
\(x {}^{3} \)
Step-by-step explanation:
\(\frac{(x {}^{5} )}{( {x}^{2} )}\)
\(x {}^{3} \)
Lisa bought a treadmill for $925. She made a 20% down payment and financed the rest over 18 months. Find the monthly payment if the interest rate was 11%.
The monthly payment if the interest rate was 11% will be $45.63.
The remaining amount is calculated as,
P = (1 - 0.20) x $925
P = 0.80 x $925
P = $740
The monthly payment is calculated as,
MP = [$740 + ($740 x 0.11)] / 18
MP = $821.4 / 18
MP = $45.63
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The monthly payment is $49.69.
We have,
The amount of the down payment is:
0.20 x $925 = $185
So the amount financed is:
$925 - $185 = $740
Using the formula for the monthly payment on a loan:
= (Pr(1+r)^n) / ((1+r)^n - 1)
where:
P = principal or amount financed = $740
r = monthly interest rate = 11%/12 = 0.0091667
n = total number of payments = 18
Plugging in the values, we get:
Monthly payment
= ($7400.0091667 x (1+0.0091667)^18) / ((1 + 0.0091667)^18 - 1)
= $49.69 (rounded to the nearest cent)
Therefore,
The monthly payment is $49.69.
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someone pls help with steps
Answer:
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The formula below relates distance, rates, and time.
d = rt
Solve this formula for t
d = rt
d/r rt/r
d/r = t
A study of office workers found that 22% would like more storage space. If there are 16 million office workers, how many would want more storage space?
The number of office workers who would want more storage space is ____ million.
Out of the 16 million office workers surveyed, approximately 3.52 million would like more storage space.
The given study states that 22% of office workers would like more storage space. To find the number of office workers who desire additional storage, we need to calculate 22% of the total number of office workers.
To determine the number of office workers who want more storage space, we multiply the percentage (22%) by the total number of office workers (16 million):
22% × 16 million = 0.22 × 16,000,000 = 3,520,000.
Hence, based on the study, approximately 3.52 million office workers out of the 16 million surveyed would like more storage space. This indicates a significant proportion of the office workforce expressing the need for additional storage in their work environment. Understanding such preferences can help employers and office designers address the demand for improved storage solutions and create more efficient and organized workspaces to enhance productivity and employee satisfaction.
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helppppppppppppppppppppppppppppppppp pls
Answer:
15
Step-by-step explanation:
74.75 divided by 5 is 14.95 so when you add to the nearest whole number it will be 15.
Solve the inequality 4x - 6 > 6x - 20.
Ox>7
0x<7
0x<2
Ox> 2
Answer:
7>0x
0x<7
Step-by-step explanation:
4x-6>6x-20
-6>2x-20
14>2x
7>x
an employee makes $18.00 per hour. given that there are 52 weeks in a year and assuming a 40-hour work week, calculate the employee's yearly salary.
The employee's yearly salary is calculated as $37,440 using the arithmetic operations.
The employee earns $18 per hour and works 40 hours per week. To calculate the weekly salary, we multiply the hourly wage by the number of hours worked:
Weekly salary = Hourly wage × Hours worked per week
Weekly salary = $18/hour × 40 hours/week = $720
Next, to calculate the yearly salary, we use the multiplication operation the weekly salary by the number of weeks in a year:
Yearly salary = Weekly salary × Weeks in a year
Yearly salary = $720/week × 52 weeks/year = $37,440
Therefore, the employee's yearly salary is $37,440. This calculation assumes a 40-hour work week and 52 weeks in a year. It's important to note that this calculation does not account for overtime pay or any other additional benefits or deductions that may affect the employee's total annual income.
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Graph (–4, 5), (2, 3), (–3, 0), (–4, –5), (–5, 2), and
(–5, 3) and connect the points to form a polygon.
How many sides does the polygon have?
The polygon has
sides.
Answer:
my bad im so sorry
Step-by-step explanation:
Answer:
The polygon has 6 sides
Step-by-step explanation:
a equilateral triangle has a perimeter of 21x + 9 what is the length of each side of the triangle?(hint: factor the perimeter)
Answer:
\(7x + 3 \\ \)
Step-by-step explanation:
All sides in an equilateral triangle are equal so factor out three and you are left with the length of each side.
\(3(7x + 3)\)
Express each of the following in Standard numerical form
Answer:
30. 26
31. 0.857
Step-by-step explanation:
30. 26
31. 0.857
If 1 whole is divided into pieces that are each 1/5 of a whole, how many pieces are there?
If 1 whole is divided into pieces that are each 1/5 of a whole, there would be a total of 5 pieces.
To understand why, let's consider the concept of fractions. When we divide a whole into equal parts, each part represents a fraction of the whole. In this case, each piece is 1/5 of the whole.
If we divide the whole into 5 equal parts, we can represent each part as 1/5. So, we have 1/5 + 1/5 + 1/5 + 1/5 + 1/5, which equals 5/5.
Here, 5/5 is the same as 1 whole, which means we have divided the whole into 5 equal pieces.
Therefore, when 1 whole is divided into pieces that are each 1/5 of a whole, there are a total of 5 pieces. Each piece represents 1/5 of the whole, and combining all 5 pieces gives us the original whole.
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Wiseman Video plans to make four annual deposits of $2,000 each to a special building fund. The fund’s assets will be invested in mortgage instruments expected to pay interest at 12% on the fund’s balance. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
Using the appropriate annuity table, determine how much will be accumulated in the fund on December 31, 2019, under each of the following situations.
1. The first deposit is made on December 31, 2016, and interest is compounded annually.
Table or calculator function: FVA of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $9,559
2. The first deposit is made on December 31, 2015, and interest is compounded annually.
Table or calculator function: FVAD of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $10,706
3. The first deposit is made on December 31, 2015, and interest is compounded quarterly.
Using the FV of $1 chart, calculate the fund balance:
Deposit Date i = n = Deposit Fund Balance 12/31/2019
12/31/2015 3% 16 $2,000 $3,209
12/31/2016 3% 12 2,000 2,852
12/31/2017 3% 8 2,000 2,534
12/31/2018 3% 4 2,000 2,251
$10,846
4. The first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.
Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019
$2,000 $8,000
The fund balance at the end of 2019 will be $8,000.
The given problem has four different parts, where we are supposed to calculate the accumulation of funds at the end of 2019 in different scenarios.
Scenario 1In the first scenario, the first deposit is made on December 31, 2016, and interest is compounded annually.
Using the FVA of $1 table; Payment: $2,000n = 4i = 12%
Fund balance 12/31/2019: $9,559
Hence, the fund balance at the end of 2019 will be $9,559.Scenario 2In the second scenario, the first deposit is made on December 31, 2015, and interest is compounded annually.
Using the FVAD of $1 table;Payment: $2,000n = 4i = 12%
Fund balance 12/31/2019: $10,706 Therefore, the fund balance at the end of 2019 will be $10,706.Scenario 3In the third scenario, the first deposit is made on December 31, 2015, and interest is compounded quarterly. Using the FV of the $1 chart, we get the following calculation:
Deposit Date i = n = Deposit Fund Balance 12/31/2015 3% 16 $2,000 $3,20912/31/2016 3% 12 $2,000 $2,85212/31/2017 3% 8 $2,000 $2,53412/31/2018 3% 4 $2,000 $2,251
The interest rate is 3%, and the payment is $2,000. Hence, the fund balance at the end of 2019 will be $10,846.Scenario 4In the fourth scenario, the first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.
Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019$2,000 $8,000 Hence, the fund balance at the end of 2019 will be $8,000.
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The runner-up in a road race is given a reward that depends on the difference between his time and the winner’s time. He is given 10 dollars for being one minute behind, 6 dollars for being one to three minutes behind, 2 dollars for being 3 to 6 minutes behind, and nothing otherwise. Given that the difference between his time and the winner’s time is uniformly distributed between 0 and 12 minutes, find the mean and variance of the reward of the runner-up.
The mean and variance of the reward of the runner-up is 7/3 and Variance is 89/9
What is Variance?
Variance is the anticipated squared variation of a random variable from its population mean or sample mean in probability theory and statistics. Variance serves as a proxy for dispersion, or the degree to which a set of numbers deviates from their mean.
Here, a=0 and b=12. So,
f(x) = 1 / (12 - 0)
= 1/12
A runner receives $10 if he or she is between 0 and 1 minute behind the leader. The corresponding probability is stated as
\(\int\limits^1_0 {1/12} \, dx\)=1/12(\(x^1_{0}\))
= 1/12
A runner receives $6 if he or she is between one and three minutes behind the leader. The corresponding probability is stated as
\(\int\limits^3_1 {1/12} \, dx\) = 1/12(\(x^3_{1}\))
= 1/6
A runner receives $2 if he or she is between three and six minutes behind the leader. The corresponding probability is stated as
\(\int\limits^6_3 {1/12} \, dx\) = 1/12(\(x^6_{3}\))
= 1/4
A runner receives nothing if he or she is more than six minutes behind the leader. The corresponding probability is stated as
12
∫ 1/12 dx = 1/12 (\(x^{12}_6\))
6
= 1/2
We can produce the following table:
X P(X) X(P(X) X^2 P(X)
10 1/12 5/6 25\3
6 1/6 1 6
2 1/4 1/2 1
0 1/2 0 0
Sum: 1 E(X)=7/3 E(X^2)=46/3
Thus the expected value of X is given as
E(X) = 7/3
The variance is given as
σ² = E(X)² - [E(X)]²
= 46/3 - (7/3)²
σ² = 89/9
Hence, Mean of the reward runner up is 7/3 and Variance is 89/9
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select the correct answer
You deposit $2000 earned at a summer job in an account that pays 4. 2% simple interest. What is the balance in the account in 3 years? Estimate to the nearest whole number
A deposit of $2000 earning 4.2% simple interest for 3 years will have a balance of $2252. The estimated balance rounded to the nearest whole number is $2252.
To calculate the balance in the account after 3 years, we can use the formula
balance = principal x (1 + interest rate x time)
Plugging in the values, we get
balance = 2000 x (1 + 0.042 x 3)
balance = 2000 x (1 + 0.126)
balance = 2000 x 1.126
balance = 2252
Therefore, the balance in the account after 3 years is $2252.
As for the estimate, since the interest is simple, we can approximate it by multiplying the interest rate by the number of years and adding it to the principal. So, the estimate would be
estimate = principal x (1 + interest rate x time)
estimate = 2000 x (1 + 0.042 x 3)
estimate = 2000 x (1 + 0.126)
estimate = 2000 x 1.126
estimate = 2252
Rounding to the nearest whole number, the estimate is also $2252.
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b) When heated an iron bar expands by 0.2%. If the increase in length is 1 cm,
what is the original length of the bar ?
Simple algebra.
When we convert this to an equation we get: 0.2% of something is equal to 1 unit.
So here's the equation: \(0.02x = 1\)
After we transpose \(0.02\), the equation become: \(x = \frac{1}{0.02}\).
Divide \(1\) with \(0.02\) and you get \(50\).
So the length of the original bar is \(50\) cm. :D
Which of the following describes the correct first step in solving the equation 2x - 7 = 5?
Answer:
you need to post a picture of the options, but the answer is add seven to both sides.
Step-by-step explanation:
Answer:
add 7 to 5
Step-by-step explanation:
1. 2x - 7 = 5
2. 2x = 5 + 7 (reverse the 7)
3. 2x = 12 (simplify)
4. 12/2 (divide number by the unknown value)
5. x= 6 (solve?)
6. 2(6) - 7 = 5 (CHECK)
Does anyone have “Geometry and Data Analysis” on edge? I really need help on the test if you are good at geometry..
what is the answer of 12p + P
Answer:
13p
Step-by-step explanation:
because the P it have 1 hidden there
12p + 1p = 13p
Consider the function g(x)=−(x−1)^3−2. Which ordered pair lies on the inverse of the function?
(62,−3)
(−4, 123)
(3, 1)
(3,−6)
The ordered pair lie on the inverse of the function is (62,−3).
Option A is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -(x - 1)³ - 2
The inverse of f(x).
y = -(x - 1)³ - 2
interchange x and y and solve for y.
x = -(y - 1)3 - 2
(y - 1)³ = -2 - x
(y - 1)³ = -(2 + x)
Cuberoot on both sides.
y - 1 = ∛-(2 + x)
y = ∛-(2 + x) + 1
Now,
Substitute in the inverse of g(x).
(62, -3) = (x, y)
(−4, 123) = (x, y)
(3, 1) = (x, y)
(3,−6) = (x, y)
So,
y = ∛-(2 + x) + 1
y = ∛-(2 + 62) + 1
∛-1 = -1
y = -1∛64 + 1
y = -1 x 4 + 1
y = -4 + 1
y = -3
So,
(62, -3) ______(1)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 - 4) + 1
∛-1 = -1
y = ∛(-2 + 4) + 1
y = ∛2 + 1
y = 1.26 + 1
y = 2.26
So,
(-4, 2.26) _______(2)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) _______(3)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) ______(4)
Thus,
From (1), (2), (3), (4) we see that,
(62, -3) is the solution to the inverse of g(x).
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What's the negative reciprocal of –7
Answer:
0.14285714285
Step-by-step explanation:
This is what I got from the calculator.
Answer:
1/7 (1 over 7)
Step-by-step explanation:
The negative reciprocal of –7 is 1/7 (1 over 7)
The sixth-graders at Jonah's school got to choose between a field trip to a museum and a field trip to a factory. 70% of the sixth-graders picked the museum. If there are 40 sixth-graders in all at Jonah's school, how many sixth-graders went on the trip to the museum
Hello!
70% of 40
= 70% x 40
= 70/100 x 40
= 70x40/100
= 2800/100
= 28
the answer is 28 sixth-graders
A jacket is on sale for 15% off the original price of $ 68.00. What is the sale price? Show your work!
57.8
Step-by-step explanation:
To get the answer we have to find 15% of 68 and then subtract it from 68$
15% its 0.15
0.15*68=10.2
68-10.2=57.8 - its the answer
3 - what = 11
please help with this one
Which is true about the domain and range of each
function?
Both the domain and range change.
Both the range and domain stay the same.
The domain stays the same, but the range changes.
The range stays the same, but the domain changes.
Answer:
C) The domain stays the same, but the range changes.
I got the answer right!!!
Write an equation in POINT-SLOPE FORM of the line that has a slope of -3/5 and passes through the point (2, 1). harrryyy this is due at midnight if u dont know please dont just steall my pointssss
Answer:
y=-3/5x+2.2
Step-by-step explanation:
© you deposit $400 in an account
that pays 3. 75% interest
compounded monthly. How long
does it take for the balance to
quadruple. A = P(1+)
Based on the given information, it takes approximately 37 years for the balance to quadruple when depositing $400 in an account that pays 3.75% annual interest compounded monthly.
To determine the time it takes for the balance to quadruple, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = final amount
P = principal amount (initial deposit)
r = annual interest rate (as a decimal)
n = number of times interest is compounded per year
t = time in years
In this case, we have:
P = $400
r = 3.75% or 0.0375 (as a decimal)
n = 12 (monthly compounding)
We want to find t, the time it takes for the balance to quadruple, so A = 4P.
4P = P(1 + r/n)^(nt)
Dividing both sides by P:
4 = (1 + r/n)^(nt)
Taking the natural logarithm of both sides:
ln(4) = nt * ln(1 + r/n)
Solving for t:
t = ln(4) / (n * ln(1 + r/n))
Plugging in the given values:
t ≈ ln(4) / (12 * ln(1 + 0.0375/12))
Calculating this, we find:
t ≈ 37 years
Therefore, it takes approximately 37 years for the balance to quadruple in this scenario.
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You deposit $400 in an account that pays 3.75% annual interest compounded monthly. About how long does it take for the balance to quadruple?
A. 26.2 years
B. 32.5 years
c. 37 years
A water sample shows 0.033 grams of some trace element for every cubic centimeter of water. Marques uses a container in the shape of a right cylinder with a diameter of 13.2 cm and a height of 19.7 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Marques collected? Round your answer to the nearest tenth.
Answer:
89.0 grams of trace element
Step-by-step explanation:
Step 1Find the volume of the sample container.
Given:
Container is a right cylinder with d = 13.2 cm and h = 19.7 cmVolume formula:
V = πr²h = πd²h/4Substitute to get:
V = π(13.2)²(19.7)/4 = 2695.9 cm³ (rounded)Step 2Find the volume of the trace element, using the given proportion:
2695.9*0.033 = 89.0 grams (rounded)