The correct option - D. 25sin²(15%) is the value of the [5sin(15%)]² found using concept of squaring.
Explain about the squaring:When a number is multiplied by itself, the result is a square number. As an illustration, 25 is a square number since it is composed of 5 groups of 5, or 5 x 5. This is also known as "five squared,".
Because it is 10² (10 x 10, or "ten squared"), the number 100 is likewise a square.For the sole reason that they make up a square's area, a certain collection of numbers is known as a square number (or squared number). Finding the area of a square is easy because they all have equal sides. Just "square" (multiply by itself) one of their sides!Given that-
= [5sin(15%)]²
Using the property of indices that:
(ab)² = a².b²
= (5)²sin(15%)²
On simplification:
= 25 sin(15%)²
This can be written as -
= 25 sin²(15%)
Thus, the value of [5sin(15%)]² is found as - 25 sin²(15%).
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Hi can someone help me with this please
Answer:
Look at explanation.
Step-by-step explanation:
10*10 = 100
25 = 100/4
7*3+3=25-1
21+3=25-1
24=24
6*3=16/2
18 is not equal to 8
27 - 20 = 9-2
7 = 7.
Answer:
(a) False
(b) True
(c) True
(d) Tue
(e) False
(f) True
Step-by-step explanation:
\(\large \boldsymbol{\sf (a)\ 15 + 5 = 30}\)
\(\large \boxed{\begin{minipage}{2.2 cm}\begin{aligned}\sf 15 + 5 & = \sf 30\\\sf 20 & = \sf 30\end{aligned}\\\\\implies \textsf{False}\end{minipage}}\)
..................................................................................................................................................
\(\large \boldsymbol{\sf (b)\ 5 (7) - 3 = 32}\)
\(\large \boxed{\begin{minipage}{2.48 cm}\begin{aligned}\sf 5 (7) - 3 & = \sf 32\\\sf 35 - 3 & = \sf 32\\\sf 32 & = \sf 32\end{aligned}\\\\\implies \textsf{True}\end{minipage}}\)
..................................................................................................................................................
\(\large \boldsymbol{\sf (c)\ 25 = \dfrac{10^2}{4}}\)
\(\large \boxed{\begin{minipage}{1.8 cm}\begin{aligned}\sf 25 & = \sf \dfrac{10^2}{4}\\\sf 25 & = \sf \dfrac{100}{4}\\\sf 25 & = \sf 25\end{aligned} \\\\\implies \textsf{True}\end{minipage}}\)
..................................................................................................................................................
\(\large \boldsymbol{\sf (d)\ 7 (3) + 3 = 5^{2} - 1}\)
\(\large \boxed{\begin{minipage}{3.2 cm}\begin{aligned}\sf 7 (3) + 3 & = \sf 5^2 - 1\\\sf 21 + 3 & = \sf 25 - 1\\\sf 24 & = \sf 24\end{aligned}\\\\\implies \textsf{True}\end{minipage}}\)
..................................................................................................................................................
\(\large \boldsymbol{\sf (e)\ 6 (11 - 8) = \dfrac{16}{2}}\)
\(\large \boxed{\begin{minipage}{2.8 cm}\begin{aligned}\sf 6 (11 - 8) & = \sf \dfrac{16}{2}\\\sf 6 (3) & = \sf 8\\\sf 18 & = \sf 8\end{aligned}\\\\\implies \textsf{False}\end{minipage}}\)
..................................................................................................................................................
\(\large \boldsymbol{\sf (f)\ 3^{3} - 4(5) = |-9| - 2}\)
\(\large \boxed{\begin{minipage}{3.88 cm}\begin{aligned}\sf 3^3 - 4 (5) & = \sf |-9| - 2\\\sf 27 - 20 & = \sf 9 - 2\\\sf 7 & = \sf 7\end{aligned}\\\\\implies \textsf{True}\end{minipage}}\)
If 75% of a number is 15, find 15% of that number.
\(0.75x = 15\)
\(x = \frac{15}{0.75} = 20\)
\(0.15(20) = 3\)
Answer: You can use the definition of percentage and the proportions to solve this question. 75% means 75/100, the you want to know which fraction of 15 equals 75/100, which is to solve this proportion: 75/100 = 15/x. Solving for x, x = 15 * 100 / 75 = 20. You can check that the 75% of 20 is equal to 15: 20 * 75% = 20*75/100 = 15. So, the answer is 20.
Step-by-step explanation:
evaluate the expression x= 2/5y = 5/12\( - 3y + x\)
Given :
It is given that
\(x=\frac{2}{5},y=\frac{5}{12}\)To find
\(-3y+x\)Explanation
In the given equation , substitute the value of x and y .
\(-3\times\frac{5}{12}+\frac{2}{5}=-\frac{5}{4}+\frac{2}{5}\)\(-\frac{5}{4}+\frac{2}{5}=\frac{-25+8}{20}=-\frac{17}{20}\)Answer
Hence the answer in simplest form is
\(-\frac{17}{20}\)The rope required to measure the diametwr of acicular pond is 90 m shorter than measurin its circumference. find the diameter of the pond.
Listed below is a series of experiments and associated random variables. In each case, identify the values that the random variable can assume and state whethe is discrete or continuous. Experiment Random Variable (x) Values Continuo a. Take a 15-question examination Select your answer - ✓ - Select your answ Number of questions answered correctly Number of cars arriving at tollbooth - Select your answer - V - Select your answ b. Observe cars arriving at a tollbooth for 1 hour c. Audit 50 tax returns Number of returns containing errors - Select your answer - - Select your answ Select your answer - - Select your answ d. Observe an employee's work Number of nonproductive hours in an nine-hour workday e. Weigh a shipment of goods Number of pounds Select your answer - - Select your answ of experiments and associated random variables. In each case, identify the values that the random variable can assume and state whether the random variable S. xperiment Random Variable (x) Values Continuous or Discrete examination - Select your answer - - Select your answer - Number of questions answered correctly Number of cars arriving at tollbooth g at a tollbooth for 1 hour - Select your answer - ✓ - Select your answer - Select your answer - Number of returns containing errors - Select your answer - ✓ - Select your answer - - Select your answer - V ee's work Number of nonproductive hours in an nine-hour workday f goods Number of pounds - Select your answer - - Select your answer - V
This is because the number of pounds can take on an infinite number of values within a range.
The following table shows a series of experiments and associated random variables:ExperimentRandom Variable (x)Values
Continuous or Discrete
a. Take a 15-question examinationNumber of questions answered correctlyDiscreteb. Observe cars arriving at a tollbooth for 1 hourNumber of cars arriving at tollboothDiscretec. Audit 50 tax returnsNumber of returns containing errorsDiscreted. Observe an employee's workNumber of nonproductive hours in a nine-hour workdayDiscretee. Weigh a shipment of goodsNumber of poundsContinuous
The random variable in experiment a is discrete. This is because the number of questions answered correctly can only take on a finite number of values.The random variable in experiment b is also discrete. This is because the number of cars arriving at the tollbooth can only take on a finite number of values.The random variable in experiment c is also discrete. This is because the number of returns containing errors can only take on a finite number of values.The random variable in experiment d is discrete. This is because the number of nonproductive hours in a nine-hour workday can only take on a finite number of values.The random variable in experiment e is continuous.
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pleaseeee help I only have 3 more days left and if I don’t get it done i won’t pass
The expressions from least to greatest in value are: -3.75, -|\(-3\frac{1}{5}\)|, -3, |3.1|, |\(-3\frac{1}{2}\)|
Let's evaluate the given expressions and order them from least to greatest:
|3.1| = 3.1
-3
-3.75
|To evaluate |\(-3\frac{1}{2}\)|, we need to find the absolute value of -3 1/2.
|\(-3\frac{1}{2}\)| = |-3.5| = 3.5
Now -|\(-3\frac{1}{5}\)|
To evaluate -|-3 1/5|, we need to find the absolute value of -3 1/5 and then negate the result.
|\(-3\frac{1}{5}\)| = |-3.2| = 3.2
Therefore, the expressions from least to greatest in value are:
-3.75, -|\(-3\frac{1}{5}\)|, -3, |3.1|, |\(-3\frac{1}{2}\)|
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if a dice is rolled 240 times how many times do you think it will land on each number?
Answer:
being they all have the same amount of chances to be rolled on the same amount i would say 40
Step-by-step explanation:
B. Franc earns $15 an hour as a delivery driver. His company also pays him $30 a week
for car maintenance. What is the function that describes Franc's weekly earnings?
Answer: 15x+30y
Step-by-step explanation:
The function that describes Franc's weekly earnings is \(15x+30y\).
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Earnings of Franc per hour = $15
Earnings of Franc per week = $30
Let x be the number of hours and
y be the number of weeks
Thus the function that describes Franc's weekly earnings is
⇒ \(15x+30y\)
Hence w can conclude that the function that describes Franc's weekly earnings is \(15x+30y\).
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2. Each year a certain amount of money is deposited in an account which pays an
annual interest rate of r so that at the end of each year the balance in the account is
multiplied by a growth factor of x = 1+r. $500 is deposited at the start of the first
year, an additional $200 is deposited at the start of the next year, and $600 at the
start of the following year.
a. Write an expression for the value of the account at the end of three years in
terms of the growth factor x.
b. What is the amount (to the nearest cent) in the account at the end of three
years if the interest rate is 2%?
3. Consider the polynomial function p given by p(x) = 5x³ + 8x²-3x + 1. Evaluate the
function at x = -2.
Answer:
2a. ((500x +200)x +600)x
2b. $1350.68
3. -1
Step-by-step explanation:
2. You want to know the balance in an account at the end of 3 years with deposits at the beginning of successive years being $500, $200, and $600, and with deposits having an annual growth factor of x. You want (a) an expression for the balance in terms of x, and (b) the balance when x=1+2%.
3. You want the value of p(-2) for p(x) = 5x³ +8x² -3x + 1.
2. Account Balancea. Expression$500 is deposited at the beginning of the first year. The problem statement tells us that this has been multiplied by growth factor x by the end of the year, so the balance at that point is 500x.
At the beginning of the second year, $200 is added to the account, and the entire amount is multiplied by the growth factor for the year. That makes the balance at the end of the second year be ...
(500x +200)x
Then $600 is added, and again the account grows by a factor of x. At the end of the third year, the balance is ...
balance = ((500x +200)x +600)x
b. Balance for r=2%The growth factor is given as x = 1 +r. When r = 2%, this becomes x = 1.02. Then the balance at the end of year 3 is ...
((500·1.02 +200)·1.02 +600)·1.02 = 1350.68
The amount in the account at the end of three years is $1350.68.
__
3. Polynomial valueThe value of p(x) = 5x³ +8x² -3x +1 for x=-2 is found by substituting -2 where x is found. Evaluation can be easier by rewriting the polynomial to Horner form:
p(x) = ((5x +8)x -3)x +1
p(-2) = ((5(-2) +8)(-2) -3)(-2) +1 = ((-2)(-2) -3)(-2) +1 = (1)(-2) +1 = -1
The value of the function for x=-2 is -1.
__
Additional comment
You will note that the expression in problem 2 is also written in Horner form. If it were expanded, it would be 500x³ +200x² +600x. Evaluation takes fewer steps when Horner form is used.
Unit 6 similar triangles homework 2 similar figures
Answer:
1. Angles: <F=<J, <H=<H, <G=<K
Sides: FG/JK, GH/KH, FH/JH
2. 1/4 3. 5/2 4. X=12 5. 122.5 units 6. x=8; y=35 7. X=3 8. x=25 9. x=12 10. x=15 11. X=14 12. x=13
Step-by-step explanation:
2. 4/8 =1/4
3. 10/4=5/2
4. 5x=60(x=12)
5. 7(35)/2: 245/2= 122.5 units
6. x/28= 6/21: 21x=168: x=8
7. 49/14= 9(x+1)/(x+5): 49(x+5)=9(x+1)+14: 49x+245=126x+14: 245-14=126x-49x: 231=77x: x=3
8. 52/91=x+3/2x1: 52(2x-1)= 91(x+3): 104x-52=91x+273: 13x=325: x=25
9. 5x-3/3x+2= 60/40: 60(3x+2)= 40(5x-3): 200x-120=180x+120: 200=180x+120: 20x=240: x=12
10. 168x-280=160x-60: 8x-120: x=15
11. 12/x+1= 32/3x-2: 12(3x-2)= 32(x+1): 36x-24=32x+32: 4x=56: x=14
12. x+4/2x-7= 51/57: 57(x+4)= 51(2x-7): 57x +228=102x-357: -45x = -585: x=13
7. One track coach wants his athletes to race 10 miles around a track to measure how fast
each person can run. If the track is 5/6 of a mile around, then how many laps around the
track will the athletes have to run to complete the race?|| I
Answer:
12 laps would be 10 miles
Step-by-step explanation:
10÷(5/6)=12
4.A 5 ft. by 20 ft room has a circular rug. If the rug has a dlameter of 10 ft., how much of the floor
is not covered by the rug?
Answer:
option 4
Step-by-step explanation:
Jeff spent $50 on gifts for his tamily. The first 2 items cost a total of $15 and then he bought 2 more for a total of $20. How many additional gifts did Jeff buy if their average cost was $10 each?
The number of additional gifts Jeff can buy with the remaining cost is 1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
As per the given,
Total cost = $15 + $20 = $35
Total spent = $50
Remaining = $50 - $35 = $15
Since one gift cost $10
Thus, 15/10 = 1.5 since the number of gifts will be the whole number so it will be round to bottom 1 gift.
Hence "With the money still available, Jeff can purchase 1 more present".
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According to an almanac, 80% of adult smokers started smoking before turning 18 years old. (a) Compute the mean and standard deviation of the random variable X, the number of smokers who started before 18 in 300 trials of the probability experiment. (b) Interpret the mean. (c) Would it be unusual to observe 270 smokers who started smoking before turning 18 years old in a random sample of 300 adult smokers? Why? (a ) Hx =A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n = 10, p = 0.35, x =3 P(3) = (Do not round until the final answer. Then round to four decimal places as needed.)Suppose that a poll taken 10 years ago found that 64% of parents spank their children. Suppose a recent poll of 150 adults with children finds that 78 indicated that they spank their children. Complete parts (a) and (b) below. (a) Assuming parents' attitude toward spanking has not changed since the original poll, how many of the 150 parents surveyed would be expected to spank their children? The expected amount of parents surveyed that would spank their children is (Round to the nearest whole number as needed.)
A z-score of 4.334 indicates that the observation of 270 smokers who started smoking before 18 is about 4.334 standard deviations above the mean.
(a) To compute the mean and standard deviation of the random variable X, we need to know the parameters of the binomial distribution. In this case, the number of trials is 300, and the probability of success (smokers who started before 18) is 0.8.
Mean (μ) of a binomial distribution:
μ = n * p
μ = 300 * 0.8
μ = 240
The mean of the random variable X is 240.
Standard deviation (σ) of a binomial distribution:
σ = √(n * p * (1 - p))
σ = √(300 * 0.8 * (1 - 0.8))
σ = √(300 * 0.8 * 0.2)
σ = √(48)
σ ≈ 6.928
The standard deviation of the random variable X is approximately 6.928.
(b) The mean (240 in this case) represents the average number of adult smokers who started smoking before turning 18 years old in a sample of 300 trials. It provides a measure of central tendency for the distribution. In other words, on average, we would expect 240 adult smokers out of 300 to have started smoking before the age of 18.
(c) To determine if observing 270 smokers who started smoking before turning 18 years old in a random sample of 300 adult smokers is unusual, we can use the concept of z-scores. A z-score tells us how many standard deviations an observation is from the mean.
To calculate the z-score:
z = (x - μ) / σ
where x is the observed value (270), μ is the mean (240), and σ is the standard deviation (6.928).
z = (270 - 240) / 6.928
z ≈ 4.334
A z-score of 4.334 indicates that the observation of 270 smokers who started smoking before 18 is about 4.334 standard deviations above the mean. This is quite far from the mean, suggesting that it would be unusual to observe 270 smokers who started before turning 18 in a random sample of 300 adult smokers.
Note: The exact definition of what is considered "unusual" or an outlier can vary depending on the chosen significance level or threshold.
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HELPME PLEASE
Find the slope if exist of the line containing the pair of points
(7,0) and (0,-1)
The slope m=
Answer:
m = 1/7
Step-by-step explanation:
Given:
(x1 = 7, y1 = 0) and (x2 = 0, y2= -1)
We know:
slope m = vertical change in y / horizontal change in x
m= (y2-y1)/(x2-x1)
Calculate slope:
m= (y2-y1)/(x2-x1) = (-1-0)/(0-7) = -1/ -7 = 1/7
Burger Barn makes dipping sauce by mixing 4 spoonfuls of honey with 1/2 spoonful of mustard. Sandwich Town makes dipping sauce by mixing 4 spoonfuls of honey with 1 spoonful of mustard.
Which dipping sauce has a stronger mustard flavor?
The answer is there the same
Answer:they taste the same
Step-by-step explanation:
what is x+y=6 solving for x
Answer:
x= 6 -y
Step-by-step explanation:
Subtract
y
from both sides of the equation.
At park junior high 10% or 160 of the students play a musical instrument how many students attended the school? Which statements are correct check all that apply. A.the total number of students is 160 C.the percent to whole ratio is 10/100 D.the percent as a part to whole ratio is 160/100 E.there are 1600 students in the school F.there are 250 students in the school.
Answer:
B, C, EStep-by-step explanation:
10% ⇔ 160100% ⇔ 10*160 = 1600Note. Got full answer options elsewhere
A. The total number of students is < 160.
Incorrect (1600>160)B. The total number of students is > 160.
CorrectC. The percent as a part-to-whole ratio is 10/100.
CorrectD. The percent as a part-to-whole ratio is 160/100.
Incorrect (10/100)E. There are 1,600 students in the school.
CorrectF. There are 250 students in the school.
Incorrect (1600)Answer:
B and C and E are 100% correct
Step-by-step explanation:
I completed this and got it right. Hope it helps !
4. The
sum of a number z and 16.2 is at most 30.
z + 16.2 ≤ 30
z ≤ 13.8
There are 100 seniors in Fishtopia High School. Each senior has
their own locker numbered #1-100 down a long corridor. As a
graduation tradition, all the seniors line up and walk one at a
time down the hallway. The first senior changes all the locker
positions (so, the first person in line opens all the locker
doors). The second senior then changes the position of every other
locker (so, since all the lockers are now open, she closes door #2,
closes door #4 etc. while not touching door #1 or door #3, etc.).
The third senior then changes the position of every third locker
(so, he closes door #3, opens door #6, etc.). This continues until
all seniors have had an opportunity to walk down the corridor, only
changing the position of the locker doors that correspond with
multiples of their position in line (so, the last senior only
changes the position of locker #100, while not touching any of the
other lockers). [Note: Changing the position of a locker means
opening it if it is closed or closing it if it is open.]
How many students touched locker #12? Is this locker open or
closed at the very end after all 100 seniors have walked down the
corridor?
How many students touched locker #12? Is this locker open or
closed at the very end after all 100 seniors have walked down the
corridor?
In total, 6 students have touched locker #12 and after all seniors have walked down the corridor, the locker # 12 is closed.
To determine how many students touched locker #12 and its final position, we will consider the factors of 12 and the actions of the corresponding seniors.
Locker #12 will be touched by students whose positions are factors of 12. The factors of 12 are 1, 2, 3, 4, 6, and 12.
1. Senior #1 opens all lockers, so locker #12 is opened.
2. Senior #2 changes the position of every 2nd locker, so locker #12 is closed.
3. Senior #3 changes the position of every 3rd locker, so locker #12 is opened.
4. Senior #4 changes the position of every 4th locker, so locker #12 is closed.
5. Senior #6 changes the position of every 6th locker, so locker #12 is opened.
6. Senior #12 changes the position of every 12th locker, so locker #12 is closed.
After all 100 seniors have walked down the corridor, locker #12 is closed. In total, 6 students touched locker #12.
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Neha is developing multiple neighborhoods. The following data points represent the number of new homes that will be built in each neighborhood.
3*2x-1 = 1/27 Find x
Answer: x = 2
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases.
3
2
x
−
1
=
3
3
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2
x
−
1
=
3
Solve for
x
.
x
=
2
Develop an essenential smoothing forecast (α=0.45) for penods 11 through 15 Assume that your forecast for penod 10 was 297 Calculate the forecasts for perieds 11 through 15 (enter your responses rocmdod to tivo decimal places)
The forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0
Given: Smoothing constant α = 0.45, Forecast for period 10 = 297
We need to calculate the forecasts for periods 11 through 15 using the essential smoothing forecast method.
The essential smoothing forecast is given by:Ft+1 = αAt + (1 - α)
Ft
Where,
At is the actual value for period t, and Ft is the forecasted value for period t.
We have the forecast for period 10, so we can start by calculating the forecast for period 11:F11 = 0.45(297) + (1 - 0.45)F10 = 162.35 + 0.45F10
F11 = 162.35 + 0.45(297) = 297.4
For period 12:F12 = 0.45(At) + (1 - 0.45)F11F12 = 0.45(297.4) + 0.55(297) = 296.7
For period 13:F13 = 0.45(At) + (1 - 0.45)F12F13 = 0.45(296.7) + 0.55(297.4) = 297.1
For period 14:F14 = 0.45(At) + (1 - 0.45)F13F14 = 0.45(297.1) + 0.55(296.7) = 296.9
For period 15:F15 = 0.45(At) + (1 - 0.45)F14F15 = 0.45(296.9) + 0.55(297.1) = 297.0
Therefore, the forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0 (All values rounded to two decimal places)
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¡cuantas unidades se deben producir para que el costo sea el más bajo posible?
\(c(x)=800-10x+0.25x^{2}\)
What types of lines create alternate interior angles?
a) Parallel lines cut by a transversal
b) Three parallel lines
c) Any two intersecting lines
d) Perpendicular lines
А
B
C
D
A radio tower is located 350 feet from a building. From a window in the building, a person determines that
the angle of elevation to the top of the tower is 38° and that the angle of depression to the bottom of the
tower is 26°. How tall is the tower?
feet
The height of the tower is approximately 294.56 feet.
How tall is the tower?Let's denote the height of the tower as h. Then, we can use the tangent function to set up two equations:
tan(38°) = h / (350)
tan(26°) = (h - x) / (350), where x is the height of the bottom of the tower above the ground.
We can solve for h by eliminating x from these equations. To do this, we can solve the second equation for x:
x = h - 350 * tan(26°)
Then, we can substitute this expression for x into the first equation:
tan(38°) = h / 350
tan(26°) = (h - (h - 350 * tan(26°))) / 350
Simplifying the second equation, we get:
tan(26°) = tan(38°) - tan(26°)
tan(26°) + tan(26°) = tan(38°)
2 * tan(26°) = tan(38°)
tan(26°) = tan(19°)
Now we can solve for h:
h = 350 * tan(38°)
h ≈ 350 * 0.7813
h ≈ 273.45 feet
Therefore, the tower is approximately 273.45 feet tall.
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I need help ASAP!!! Please tell me the answer Congruent Triangle Proof
Answer:
see explanation
Step-by-step explanation:
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
NQ is an angle bisector then ∠ MNQ = ∠ PNQ
∠ M = ∠ N , so the triangle is isosceles with 2 equal legs, then
MN = PN
----------------------------------------------
∠ MNQ = ∠ PNQ
MN = PN ( included sides between the 2 angles )
∠ M = ∠ N
Δ MNQ ≅ Δ PNQ by the ASA postulate
Answer:
Step-by-step explanation:
In Δ MNP,
∠NMQ ≅ ∠NPQ
⇒ NM = NP - ------> (I) {Sides opposite to equal angles are equal}
In ΔMNQ & ΔPNQ,
∠MNQ ≅ ∠PNQ {NQ is angle bisector}
NM = NP {from (I)}
∠NMQ ≅ ∠NPQ {Given}
ΔMNQ ≅ ΔPNQ - Angle Side Angle {ASA congruent}
PLEASE HELP. I will do anything, please. May someone explain what I have to do? Explain with steps please. I’m having trouble comprehending this.
Answer:
To prove : ΔDEC ~ ΔDAB
angle DEC = angle DAB...... ( Corresponding angles when Line EC || Line AB and EC being the transversal)
angle EDC = angle ADB......( Common angle D)
therefore, ΔDEC ~ ΔDAB by A - A test of similarity.
An airport parking lot charges a basic fee of $2 plus $1 per half-hour parked. what is the total charge from parking in the lot for 72 hours? a. $144 b. $146 c. $74 d. $72 please select the best answer from the choices provided a b c d
Using a linear function, the total charge from parking in the lot for 72 hours is of:
b. $146.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Both the basic fee, which is the y-intercept, and the hourly fee, which is the slope, are of $2, hence the cost of parking x hours is given by:
C(x) = 2x + 2
Hence the cost for parking 72 hours is:
C(72) = 2 x 72 + 2 = 2 x 73 = $146.
Which means that option b is correct.
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a relationship that is noted between two or more variables is termed
The relationship that is noted between two or more variables is termed a correlation. Correlation refers to the statistical association or relationship between two or more variables.
It indicates the degree to which the variables are related or how they are related to each other. Correlation can be positive, negative, or zero, depending on the direction and strength of the relationship between the variables.
A positive correlation indicates that as one variable increases, the other variable also increases. A negative correlation indicates that as one variable increases, the other variable decreases. Zero correlation indicates that there is no relationship between the variables.
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