Answer:
y = 0
Step-by-step explanation:
Given
f(x) = [tex]\frac{3}{x-2}[/tex]
The degree of the numerator is zero 0 ( 3[tex]x^{0}[/tex] )
The degree of the denominator is 1
Since the degree of denominator > degree of numerator.
Then there is a horizontal asymptote at y = 0
A student stands 20 m away from the footof a tree and observes that the angle of elevation of the top of the tree, measured from a table 1.5 m above the ground, is 34°28'. Calculate the height of the tree tothe nearest metre.
Answer:
6 to the north
Step-by-step explanation:
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II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since the slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.
Answer:
A
Step-by-step explanation:
Lines L and K are parallel to each other. Measure of angle A= 120 degrees, and measure of angle C= 80 degrees. What is the number of degrees in measure of angle B? Please answer ASAP! Thanks!
Answer:
160°
Step-by-step explanation:
The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80 to get 110 than subtracted that from 180 to get 70. Lastly, i added 90° to 70° to get 160°
Hope this helped you get the answer :)
The measure of angle B in Parallel lines will be 160°.
What are parallel lines?
Parallel lines are those lines that never intersect at any point and always maintain a constant distance.
We have,
Lines L and K are parallel to each other.
And,
The measure of angle A = 120°
The measure of angle C = 80°
Now,
Draw a straight line from A to B,
So, that ∠BAl = 90° and
∠ABk = 90°
We get,
ΔABC,
Now in ΔABC,
∠C = 80°
∠A = 120 - 90 = 30°
So, Using Tringle angle sum property,
80° + 30° + ∠ABC = 180°
⇒
∠ABC = 180° - 110°
∠ABC = 70°,
Now,
Adding ∠ABC and ∠ABk, to get ∠CBk,
i.e.
∠CBk = ∠ABC + ∠ABk = 70° + 90°
∠CBk = 160°
Hence we can say that the measure of angle B will be 160°.
To learn more about Parallel lines click here,
https://brainly.com/question/16701300
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Please answer this in two minutes
Answer: 1080 degrees
Hoped this helped :)
dentify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. A researcher selects every 890 th social security number and researcher selects every 890th social security number and surveys surveys that the corresponding corresponding person.person. nothing nothing nothing Which type of sampling did the researcher researcher use
Complete Question:
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below;
A researcher selects every 890th social security number and surveys the corresponding person. Which type of sampling did the researcher use?
Answer:
Systematic sampling.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Convenience sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Systematic sampling.
A systematic sampling is a type of probability sampling method which involves the researcher selecting or collecting data from a larger population.
Under systematic sampling method, samples are selected from an ordered (fixed) sample population at periodic interval. Therefore, numbers are assigned to every member of the population and then, the "nth" member are selected by the researcher after choosing a fixed starting point.
In this scenario, the researcher selects every 890th social security number and surveys the corresponding person.
Hence, the type of sampling used by the researcher is systematic sampling.
A standard deck of of 52 playing cards contains 13 cards in each of four suits : diamonds, hearts , clubs and spades. Two cards are chosen from the deck at random.
Answer:
Probability of (one club and one heart) = 0.1275 (Approx)
Step-by-step explanation:
Given:
Total number of cards = 52
Each suits = 13
FInd:
Probability of (one club and one heart)
Computation:
Probability of one club = 13 / 52
Probability of one heart = 13 / 51
Probability of (one club and one heart) = 2 [(13/52)(13/51)]
Probability of (one club and one heart) = 0.1275 (Approx)
Answer:
D. 0.1275
Step-by-step explanation:
Justo took the Pre-Test on Edg (2020-2021)!!
4) Flying to Tahiti with a tailwind a plane averaged 259 km/h. On the return trip the plane only
averaged 211 km/h while flying back into the same wind. Find the speed of the wind and the
speed of the plane in still air.
A) Plane: 348 km/h, Wind: 37 km/h B) Plane: 243 km/h, Wind: 30 km/h
C) Plane: 235 km/h, Wind: 24 km/h D) Plane: 226 km/h, Wind: 13 km/h
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Answer: C) Plane: 235 km/h, Wind: 24 km/h
Step-by-step explanation:
Given that :
Average Speed while flying with a tailwind = 259km/hr
Return trip = 211km/hr
Let the speed of airplane = a, and wind speed = w
Therefore ;
Average Speed while flying with a tailwind = 259km/hr
a + w = 259 - - - (1)
Return trip = 211km/hr
a - w = 211 - - - (2)
From (2)
a = 211 + w
Substitute the value of a into (1)
a + w = 259
211 + w + w = 259
211 + 2w = 259
2w = 259 - 211
2w = 48
w = 48/2
w = 24km = windspeed
Substituting w = 24 into (2)
a - 24 = 211
a = 211 + 24
a = 235km = speed of airplane
PLEASE HELP!!!
Rectangle EFGH is reflected across the origin and then rotated 90° clockwise about the origin, forming rectangle E″F″G″H″. What are the coordinates of rectangle E″F″G″H″?
(A.) E″ (1, –5), F″ (1, –1), G″ (4, –1), H″ (4, –5)
(B.) E″ (–1, –5), F″ (–1, –1), G″ (–4, –1), H″ (–4, –5)
(C.) E″ (–1, 5), F″ (–1, 1), G″ (–4, 1), H″ (–4, 5)
(D). E″ (5, 1), F″ (1, 1), G″ (1, 4),
H″ (5, 4)
Answer:
c.
Step-by-step explanation:
90 degrees clockwise is (x,y)-(y,-x)
Answer:
The answer is A
Step-by-step explanation:
Took the test
In a class Vidya ranks 7th from the top. Divya
is 7 ranks ahead of Medha and 3 ranks
behind Vidya. Sushma who is 4th from the
bottom is 32 ranks behind Medha. How many
students are there in the class?
Answer:
52 students
Step-by-step explanation:
From the question above, we have the following information:
a) Vidya ranks 7th from the top.
Mathematically,
Vidya = 7th student
b) Divya 3 ranks behind Vidya.
Divya = Vidya + 3
Hence, Mathematically:
Divya = 7 + 3 = 10
Divya = 10th student
c) Also, Divya is 7 ranks ahead of Medha.
Mathematically,
Medha = 10 + 7= 17
Medha= 17th student
d)Sushma is 32 ranks behind Medha
Mathematically,
Sushma = Medha + 32
= 17 + 32 = 49
Sushma is the 49th student
Therefore, since, Sushma is 4th from the bottom, total number of students is:
49 + 3 = 52 students
ratio
simplify
4x:9=7:3
Answer:
4x:9=7:3 can be written as
[tex] \frac{4x}{9} = \frac{7}{3} [/tex]
Cross multiply
We have
4x(3) = 9 × 7
12x = 63
Divide both sides by 12
[tex]x = \frac{21}{4} \: \: \: \: \: or \: \: \: 5 \frac{1}{4} [/tex]
Hope this helps you
Answer:
[tex]\boxed{x=\frac{21}{4}}[/tex]
Step-by-step explanation:
[tex]4x:9=7:3[/tex]
Turn ratios to fractions.
[tex]\frac{4x}{9} =\frac{7}{3}[/tex]
Cross multiplication.
[tex]4x \times 3 = 9 \times 7[/tex]
Simplify.
[tex]12x=63[/tex]
Divide both sides by 12.
[tex]x=\frac{63}{12}[/tex]
[tex]x=\frac{21}{4}[/tex]
Need help with these last two questions, tysm if you do :D
Answer:
D.
A. x ≤ 1
Step-by-step explanation:
Well for the first question we need to simplify the inequality.
4x + 3 < x - 6
-x to both sides
3x + 3 < -6
-3 to both sides
3x < -9
Divide 3
x < -3
So if x is less than -3 than it goes to the left starting at -3.
So D. is the answer.
So to solve the floowing inequality we simplify, distribute, and combine like terms.
3(2x - 5) + 3 ≤ -2(x + 2)
6x - 15 + 3 ≤ -2x -4
6x -12 ≤ -2x - 4
8x - 12 ≤ -4
+12
8x ≤ 8
8/8
x ≤ 1
Hence the answer is A. x ≤ 1
Scarlett Squirrel teaches a hula dancing class to young squirrels. 141414 squirrels showed up to class on Monday, 101010 squirrels on Tuesday, 888 squirrels on Wednesday, 101010 squirrels on Thursday, and 121212 squirrels on Friday. Find the mean number of the squirrels
Answer:
93107
Step-by-step explanation:
add all of the numbers together
divide by 5 since there are 5 numbers
you would get 92106.8
so round that up since you cannot have 1/8 of a squirrel
Hope this helps!!
Identify which of these designs is most appropriate for the given experiment: completely randomized design, randomized blockdesign, or matched pairs design.
A drug is designed to treat insomnia. In a clinical trial of the drug, amounts of sleep each night are measured before and after subjects have been treated with the drug.
The most appropriate is (randomized block, matched pairs, completly randomized) design.
Answer:
Matched pairs design
Step-by-step explanation:
Looking at the options;
-It's not a completely randomized design because a randomized design will assign all individuals to a group which in this case it doesn't.
- It's not a randomized block design because randomized block design will group the subjects in question into 2 or more blocks which have a common characteristic and will then randomly assign subjects in each of the blocks.
-It's a matched pair because every individual/subject undergoes measurements both before and after being treated with the drugs.
Thus, the correct option is matched pairs design.
The perimeter of a rectangle is 141 feet, and the length is twice the width. What are the dimensions ?
Answer:
The width is 23.5 ft and the length is 47 ft
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
141 = 2(l+w)
The length is twice the width
l = 2w
141 = 2 ( 2w+w)
141 = 2( 3w)
141 = 6w
Divide each side by 6
141/6 = 6w/6
23.5 = w
l = 2w = 2(23.5) = 47
The width is 23.5 ft and the length is 47 ft
Answer:
[tex]\boxed{Width = 23.5 \ feet}[/tex]
[tex]\boxed{Length = 47 \ feet}[/tex]
Step-by-step explanation:
Let Length be l and Width be w
Perimeter = 2(Length) + 2(Width)
Condition # 1:
2l+2w = P
=> 2 l + 2 w = 141
Condition # 2:
=> l = 2w
Putting the second equation in the first one
=> 2(2w)+2w = 141
=> 4w + 2w = 141
=> 6w = 141
Dividing both sides by 6
=> Width = 23.5 feet
Given that
=> l = 2w
=> l = 2(23.5)
=> Length = 47 feet
The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.
Answer:
Afful is 21 and Naomi is 13.
Step-by-step explanation:
Let [tex]A[/tex] represent the age of Afful and [tex]N[/tex] represent the age of Naomi.
The sum of their ages is 34. In other words:
[tex]A+N=34[/tex]
In 5 years time, Afful will be two times the age of Naomi now. In other words:
[tex]A+5=2N[/tex]
Solve for the system. Substitute.
[tex]A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21[/tex]
Afful is currently 21 and Noami is currently 13.
Answer:
Naomi=x
Afful=2x
In 5 years time= +5
So Naomi=x+5
and and Afful=2x+5
=x+5+2x+5=34
=3x+10=34
Subtract 10 on both sides
3x=24
Divide 3 on both sides
X=8
Check:
X=8
Naomi=16
In 5 years
=16+5=21
Naomi=8+5=13
13+21=34
Hope this helps
Step-by-step explanation:
Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.
Answer:
0
Step-by-step explanation:
Answer: it's C. 0
Also Happy early Christmas
MATH PLEASE HELP ME. WILL GIVE BRAINLIEST
Answer:
The answer is - 17Step-by-step explanation:
g(x) = 2x³ - 3x + 5
To find g(- 2) substitute the value of - 2 into g(x)
That's
g(- 2) = 2(-2)³ - 3(-2) + 5
= 2(-8) - 3(2) + 5
= - 16 - 6 + 5
= - 17Hope this helps you
What is the margin of error for 95% confidence for a sample of size 250 where p = 0.45?
A. 0.0541
B. 0.0775
C. 0.0706
D. 0.0617
Answer:
0.0617
Step-by-step explanation:
so the formula is 1.96[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
P is the proportion (.45) and n is the sample size (250). Inserting these into the problem, we get 1.96[tex]\sqrt{\frac{.45(1-.45)}{250} }[/tex]. Solving this out, you should solve the inside of the square root to get .00099. Take the square root of this, and multiply by 1.96 to get your answer!
This method applies to any problems with the same basic format. Good luck!
Write each of the following expressions without using absolute value.
|a−7|−|a−9|, if a<7
PLEASE HELP!!!! D:
=======================================================
If a < 7, then |a-7| = -(a-7) = -a+7 based on how absolute value functions are constructed. We're using the idea that
[tex]|x-k| = \begin{cases}x-k \ \text{ if } \ x \ge k\\ -(x-k) \ \text{ if } \ x < k\end{cases}[/tex]
Also, if a < 7, then |a-9| = -(a-9) = -a+9. This is true whenever 'a' is less than 9 for similar reasoning as above.
---------
So we have,
|a-7| - |a-9| = -a+7 - (-a+9) = -a+7+a-9 = -2
As long as a < 7, the result of |a-7| - |a-9| will always be -2.
---------
As an example, let's say a = 0
|a-7| - |a-9| = |0-7| - |0-9|
|a-7| - |a-9| = |-7| - |-9|
|a-7| - |a-9| = 7 - 9
|a-7| - |a-9| = -2
I recommend you try out other values of 'a' to see if you get -2 or not. Of course only pick values that are smaller than 7.
If you had a cube with a side length of 4, how can your write the calculations in exponential form? What are 2 other ways to read the exponent verbally?
Answer: 4^3
(Four cubed or Four to the power of 3)
Step-by-step explanation:
7 - 5x > 3x + 31
A.X2-3 (all numbers greater than or equal to -3 will satisfy the inequality)B.xs-3 (all numbers less than or equal to -3 will satisfy the inequality)
C.X26 (all numbers greater than or equal to 6 will satisfy the inequality)
D.xs 6 (all numbers less than or equal to 6 will satisfy the inequality)
Answer: B. (all numbers less than or equal to -3 will satisfy the inequality)
Step-by-step explanation:
Hi, to answer this question we have to solve the inequality for x:
7 - 5x > 3x + 31
7-31 > 3x +5x
-24 > 8x
-24/8 > x
-3 > x
x < -3
So, the correct option is:
B. (all numbers less than or equal to -3 will satisfy the inequality)
Feel free to ask for more if needed or if you did not understand something.
If f(x) = -8x - 6 and g(x) = x+8 , what is (f • g) (- 7)
Answer:
hello:
Step-by-step explanation:
If f(x) = -8x - 6 and g(x) = x+8 , (f • g) (- 7)= f(g(-7))
but g(-7)=-7+8=1
(f • g) (- 7)= f(1) =-8(1)-6 =-14
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C prime? On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 2), (negative 1, 2). (–4, –7) (–4, 2) (2, –7) (2, 11)
Answer:
A ( -4, -7)
Step-by-step explanation:
if you translate -1, three units to the left u get -4 and then when u go nine units down u get -7 do it on a grid and u will see wut im talkin about : )
Answer:
A.
Step-by-step explanation:
sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.025 significance level. H0: μ ≥ 220 H1: μ < 220 Is this a one- or two-tailed test? One-tailed test Two-tailed test
Answer: (upside down fancy u) q5
Step-by-step explanation:
Simply apply the law of conservative (upside down fancy u)
HELP please!!!
Jeanie wants a $100 000 mortgage. She arranged payments for the next 15 years. The bank charges 4.8%/a interest, compounded monthly.
a) how much is each monthly payment
b) how much interest is jeanie paying?
Answer:
in one month : 13676.57/12=1139.71
the interest on 100000 is: 205148.48-100000=105148.48
Step-by-step explanation:
A=P(1+r)^t (p is the mortgage, t is the time and r is the rate)
p=100000,t=15*12 month,r=4.8%( or 0.048)
A=100000(1+0.048/12)^(12*15)
A=205148.48 (the number rounded to the nearest hundredth)
205128.48 is the amount she has to pay it after 15 years
in one year : 205128.48/15=13676.57 ( rounded to nearest hundredth)
in one month : 13676.57/12=1139.71
the interest on 100000 is: 205148.48-100000=105148.48
A combination lock has 6 different numbers. If each number can only be used ONCE, how many different combinations are possible?
Answer:
151200 possible combinations
Step-by-step explanation:
There are 10 digits 0 - 9 ( 0,1,2,3,4,5,6,7,8,9)
There are 10 choices for the first digit
10
There are 9 choices for the second digit
9
There are 8 choices for the third digit
8
and so on since we can only use each digit once
10 *9*8 *7 *6*5
151200 possible combinations
Helpppppppppp pleasessssss
Answer:
A.
Step-by-step explanation:
When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.
if 12 1/2% of a sum of money is $40, what is the TOTAL sum of money?
Answer:
$320
Step-by-step explanation:
Let the total sum of money be $x.
Therefore,
12 1/2% of x = 40
25/2% * x = 40
0.125 * x= 40
x = 40/0.125
x = $320
Thus, total sum of money is $320.
Help me please!!!!!!!!!!
Answer:
Option (4)
Step-by-step explanation:
In the picture attached,
m∠NLM = m∠LKN = 90°
In two similar triangles ΔLKN and ΔMKL,
By the property of similar triangles,
"Ratio of the corresponding sides of the similar triangles are proportional".
[tex]\frac{\text{LK}}{\text{KN}}=\frac{\text{KM}}{\text{LK}}[/tex]
By substituting the values given,
[tex]\frac{h}{3}=\frac{2}{h}[/tex]
[tex]\frac{2}{h}=\frac{h}{3}[/tex]
Therefore, Option (4) will be the answer.
Angle 6 and 7, are complementary angles?
Answer:
Hey there!
Angle 6 and angle 7 are actually supplementary angles, which are angles that add to 180 degrees.
Complementary angles are angles that add to 90 degrees.
Hope this helps :)
Answer:
∠6 & ∠7 are not complementary angles
Step-by-step explanation:
∠6 & ∠7 are supplementary angles on a line