Describe two ways to check whether algebraic expressions are equivalent.
Which of the following is described by the notation AB || CD ?
A. Perpendicular lines
B. Intersecting lines
O C. Skew lines
D. Parallel lines
Answer:
D Parallel lines
Step-by-step explanation:
this is one of the easiest symbols there are.
2 little lines being perfectly parallel to each other. that symbolizes (surprise, surprise) that the two actually referenced lines are parallel.
The notation "AB || CD" represents parallel lines.
Explanation:
In geometry, parallel lines are lines that never intersect. They are always equidistant and maintain the same distance between each other at all points. The notation "AB || CD" indicates that line AB is parallel to line CD.
Perpendicular lines are lines that intersect at a 90-degree angle. The notation "AB || CD" does not represent perpendicular lines.
Intersecting lines are lines that cross or meet at a common point. The notation "AB || CD" does not represent intersecting lines.
Skew lines are lines that do not lie in the same plane and are neither parallel nor intersecting. The notation "AB || CD" does not represent skew lines.
Parallel lines are lines that do not intersect and maintain the same distance between each other at all points. The notation "AB || CD" explicitly indicates that line AB is parallel to line CD.
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The domain of both f(x) = x-6 and g(x) = x+6 is all real numbers. What is the domain of h(x)= f(x)/g(x) ?
Answer:
the domain of h(x) = f(x) /g(x) will be all real numbers without -6 because for -6 will result the denominator equal zero and hence this fraction will be undefined
Step-by-step explanation:
The lengths of bolts in a batch are distributed normally with a mean of 3 cm and a standard
deviation of 0.04 cm.
What is the probability that a bolt has a length greater than 2.96 cm?
Answer:
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 3 cm and a standard deviation of 0.04 cm.
This means that [tex]\mu = 3, \sigma = 0.04[/tex]
What is the probability that a bolt has a length greater than 2.96 cm?
This is 1 subtracted by the p-value of Z when X = 2.96. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.96 - 3}{0.04}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
what is the sequence pattern for 2, 4, 8, 16, 30, 52, 84
i need help! plz (listing BRAINLIST and giving points) :D
Answer:
4
Step-by-step explanation:
these are two similar triangles, so to solve for x, we create two similar ratios!
x/2 = 7/3.5
cross multiply.
14=3.5x
divide 14 by 3.5
x=4
y= x +2
x^2 +y^2=10
solve using any method
Hi there!
»»————- ★ ————-««
I believe your answer is:
(-3, -1) and (1, 3)
»»————- ★ ————-««
Here’s why:
I have graphed the two equations given on a graphing program.When graphed, they pass at points (-3, -1) and (1,3). Therefore, they are the solutions to the system.⸻⸻⸻⸻
See the graph attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
[tex]{ \tt{y = x + 2 - - - (a)}} \\ { \tt{ {x}^{2} + {y}^{2} = 10 - - - (b) }} \\ substitute \: for \: y \: in \: (b) : \\ { \tt{ {x}^{2} + {(x + 2)}^{2} = 10 }} \\ { \tt{ {x}^{2} + {x}^{2} + 4x + 4 = 10 }} \\ { \tt{2 {x}^{2} + 4x - 6 = 0}} \\ { \tt{ {x}^{2} + 2x - 3 = 0 }} \\ { \boxed{ \bf{x = 1 \: and \: - 3}}} \\ in \: (a) : \\ y = x + 2 \\ { \boxed{ \bf{y = 3 \: and \: - 1}}}[/tex]
Elias is writing an algebraic expression for the phrase 5 less than a number. Find his mistake and correct it.
Elias algebraic expression could not be found, however, the correct way of writing the expression is given below.
Answer:
X - 5
Step-by-step explanation:
To write an algebraic expression for the phrase 5 less than a number ; this means that we subtract from a certain number, x, the value 5
That is ; given a particular number, x ; 5 is then subtracted from it ;
Explicitly, it is written as : X - 5 ; where x is the number.
The Centers for Disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to secondhand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of U.S. adults who were users of tobacco for a recent 11-year period
Year Percentage of Adults Who Smoke
1 22.9
2 21.7
3 21
4 20.3
5 20.3
6 19.9
7 19.4
8 20.7
9 20.7
10 19
11 18.8
What type of pattern exists in the data?
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. Do not round your interim computations and round your final answers to three decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)
y-intercept, b0 =
Slope, b1 =
MSE =
One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model from part (b) suggest that OSH is on target to meet this goal?
Use your model from part (b) to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal. Round your answer to the nearest whole number.
years.
Answer:
1.) A negative linear pattern
2.) Y = - 0.298X1 + 22.241
3.) slope = - 0.298 ; intercept = 22.241
Kindly check explanation
Step-by-step explanation:
Fitting the time series data using technology, the regression equation obtained is :
Y = - 0.298X+ 22.241
Where ; y = percentage of adults who smoke
x = year
Comparing with the linear equation model :
y = b1x + b0
y = - 0.298x + 22.41
-0.298 = slope
22.41 = intercept
The mean squared error, MSE = 0.512
To achieve, percentage users of 12% or less :
y = 12
Y = - 0.298X+ 22.241
12 = - 0.298X + 22.241
12 - 22.241 = - 0.298X1
-10.241 = - 0.298X
X = 10.241 / 0.298
X = 34.365
X = 35 years
From the model OSHA is not on target to meet it's goal as it will take 35 - 11 = 24 years from the last year of the data to achieve a smoker percentage less Than 12%
Pls help I’ll brainlest
Answer:
B.) 0.00692
Step-by-step explanation:
6.92 x 10^-3
0.00692
Which table represents a nonlinear function? ASAP
Answer:
The second table, the table in the middle.
Step-by-step explanation:
Since the x-values of all the tables differ by 1, the difference between the y-values must be constant in order for the table to be linear. In second table, the different between the first and second y-value (from top to bottom) is 3, however the difference between the second and third and third and fourth values are 1.5, which is not constant. Therefore, the second table is nonlinear.
A bicycle has a listed price of $593.98 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
I have a test please someone help me I need this asp
Answer:
Step-by-step explanation:
the tilt has no impact...
if not tilted then h=14 r=3 vol = pi 3^3 h = 14*9 π
=126π
PLSSSSS HELP ASAP PLSSSS !!!
Answer:
15
Step-by-step explanation:
6x+3 = 7x-12
6x-7x=-12-3
-x= -15
x= 15
6x+3 = 7x-12
6x-7x=-12-3
-x= -15 from now on we know that x is now 15
so the answer is 15
From CambridgeWhich point is a solution to the inequality?
O (-2, 1)
0 (-1,1)
0 (0, 1/2)
0 (3, 1/2)
Option D is correct, (3, 1/2) point is a solution to the inequality y <1/3x+1/2.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given expression is y < 1/3x+1/2
y less than one divided by three times of x plus one divided by two.
Now let us check by plugging each ordered pair.
Now plug in (-2, 1)
1<1/3(-2)+1/2
1<-2/3+1/2
1<-4+3/6
Is false.
Now plug in (-1, 1)
1<-1/3+1/2
Is false.
Now plug in (0, 1/2)
1/2 < 1/2
is false.
Now plug in (3, 1/2)
1/2 < 3(1/3) + 1/2
1/2 < 1 + 1/2 is true.
Hence, (3, 1/2) point is a solution to the inequality y < 1/3x+1/2.
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HELP I WILL GIVE BRAINLYEST
I SUCK AT MATH
Answer:
39/44
Step-by-step explanation:
Change 3 1/4 to 13/4 (improper fraction)
Multiply 3/11 x 13/4 = 39/44
PLEASE HELP ME !!!! WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY
Answer:
(8x + 1)° + ( 4x+11)° = 180° (linear pair )
8x +1 + 4x +11 = 180
8x + 4x + 1 + 11 = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x= 168/12
x = 14
John's salary is $1250 a month plus a 5% commission on all his sales. What must the amount of his sales be to earn at least $1500 each month?
also it's not $15,000
Answer:
5,000
Step-by-step explanation:
5,000 x .05 = 250
250 + 1,250 = 1,500
Filing for bankruptcy can clear a person's personal debt. Read each statement carefully and choose the statement that accurately
describes an effect of filing for bankruptcy
Answer:
C
Step-by-step explanation:
Filing for bankruptcy can damage a person's credit for many years. which is the correct answer would be an option (C).
What is bankruptcy?Bankruptcy is a legal procedure that is supervised by federal bankruptcy courts. It is intended to assist people and organizations in eliminating all or part of their debt or repaying a fraction of what they owe.
Bankruptcy status on your credit record may make it harder to obtain new credit after the bankruptcy has been discharged – at least until the information is removed from your credit report. Lenders will be wary of extending you new credit, and they may require you to accept a higher interest rate or less favorable conditions in order to do so.
Thus, filing for bankruptcy can damage a person's credit for many years.
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where have all the tutors gone
Answer:
Brainly removed asking tutors by message, so the only way is by asking questions or typing in the comments.
Step-by-step explanation:
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what is a circumference of a circle with a dimeter of 1 inch (use 3.14)
Given diameter = 1 inch
radius= D/2 = 1/2 = 0.5 inch
Circumference of circle = 2πr = 2×3.14×0.5= 3.14 inch
Answer circumference of a circle is 3.14 inch
Mr. Bayudan has a bunch of $5 bills and $10 bills in his
wallet. He has a total of $140. He has three times the
number of $10 as the number of $5 in his wallet. How
many of each bill does he have?
Answer:
5x + 3(10) = 140
Step-by-step explanation:
The total body surface area, or BSA, of a human is difficult to calculate. There are various models that estimate BSA based on a person's weight and height. One simpler model is BSA= wh 3600
where w = weight in kg and h = height in cm.
a. Using this model, estimate the height of a person who weighs 75 kg and whose BSA is 1.9.
Round your answer to the nearest cm.
h = _______ cm
b. Using this model, estimate the weight of a person who is 166 cm tall and whose BSA is 2.2.
Round your answer to the nearest kg.
w= _________kg
Answer:
173 cm
105 kg
Step-by-step explanation:
Given :
BSA= √wh /3600
where w = weight in kg and h = height in cm.
A.)
w = 75 kg ; BSA = 1.9 ; h =?
BSA= √wh /3600
1.9 = √75h /3600
Take the square of both sides
1.9² = 75h /3600
1.9² * 3600 = 75h
12996 = 75h
h = 12996 / 75
h = 173.28 cm
h = 173 cm
B.)
h = 166 ; BSA = 2.2
BSA= √wh /3600
2.2 = √w166 /3600
Take the square of both sides
2.2² = 166w /3600
2.2² * 3600 = 166w
17424 = 166w
w = 17424 / 166
w = 104.96 kg
w = 105 kg
Using the model given, we have that:
a) h = 173 cm.
b) w = 105 kg.
The BSA, for a person of weight w and height h, is given by:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
Item a:
[tex]BSA = 1.9, w = 75[/tex], hence:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
[tex]1.9 = \sqrt{\frac{75h}{3600}}[/tex]
[tex]\left(\sqrt{\frac{75h}{3600}}\right)^2 = 1.9^2[/tex]
[tex]\frac{75h}{3600} = 3.61[/tex]
[tex]h = \frac{3600(3.61)}{75}[/tex]
[tex]h = 173[/tex]
Hence:
h = 173 cm.
Item b:
[tex]BSA = 2.2, h = 166[/tex], hence:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
[tex]2.2 = \sqrt{\frac{166w}{3600}}[/tex]
[tex]\left(\sqrt{\frac{166w}{3600}}\right)^2 = 2.2^2[/tex]
[tex]\frac{166w}{3600} = 4.84[/tex]
[tex]w = \frac{3600(4.84)}{166}[/tex]
[tex]w = 105[/tex]
Hence:
w = 105 kg.
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Finding the side length of a rectangle given its perimeter or area
The area of a rectangular field is 3975 yd?. If the length of the field is 75 yards, what is its width?
yards
Х
?
Answer:
53 yds
Step-by-step explanation:
Its just 3975 divided by 75
name two rays that contain the following line segments:
__
TV
__
XZ
segment TV:
ray WU
ray TU
segment XZ:
ray WZ
ray XZ
If you borrow $200 for 12 years at
an annual interest rate of 2%, how
much will you pay altogether?
Answer:
$48
Step-by-step explanation:
200 x .02 = 4 (This finds how much interest you pay per year.)
4 x 12 = 48 (This finds how much interest you pay altogether.)
If you borrow $200 for 12 years at an annual interest rate of 2%, then we have pay $248 altogether.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
If you borrow $200 for 12 years at an annual interest rate of 2%
We need to find 2% of 200.
Firstly we have to convert 2% to decimal number by dividing with 100.
2/100=0.02
Now we have to multiply 0.02 with 200
0.02×200=4
For a month it is four.
Now we are calculating for year
4×12=48
So now the interest amount is 48.
Now add 48 and 200
48+200
248
Hence, If you borrow $200 for 12 years at an annual interest rate of 2%, then we have pay $248 altogether.
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A student's course grade is based on one midterm that counts as 20% of his final grade one class project that counts as 20% of his final grade a set of homework assignments that counts as 30% of his final grade, and a final exam
that counts as 30% of his final grade His midterm score is 85. his project score is 95, his homework score is 94 and his final exam score is 75. What is his overall final score?
His overall final score is
(Round to one decimal place as needed)
If the diameter of a circle is 50 yds, the radius is
Answer:
r = 25 yds
Step-by-step explanation:
The radius is 1/2 of the diameter
r =1/2d
r =1/2( 50 yds)
r = 25 yds
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x = 40°
Step-by-step explanation:
Reference angle = x°
Adjacent side length to reference angle = 7.2
Hypotenuse = 9.4
Apply trigonometric function CAH, which is:
Cos x = Adj/Hyp
Substitute
Cos x = 7.2/9.4
Cos x = 0.76596
[tex] x = cos^{-1}(0.76596) [/tex]
x = 40° (nearest tenth)
What is the slope of a line that is parallel to the line
shown on the graph?