Answer:
129
Step-by-step explanation:
120 +9 =129
because it is total and total means add
Point A (2, 6) has been translated 1 left and 3 up followed by a 180 degree rotation.
What is the image of Point A?
Answer:
[tex]A(-1,-8)[/tex]
Step-by-step explanation:
Given
Point: A(2,6)
Translation: 1 left and 3 up
Rotation: 180 degrees
Required
Image of Point A
Taking the exercise one after the other
Represent the function as: (x,y)
Such that
[tex]A(x,y) = A(2,6)[/tex]
1 unit left translation means the function becomes (x - 1, y)
2 unit up translation means the function becomes (x - 1, y + 2)
Applying the above transformation
[tex]A(2,6) -> A(2-1,6+2)[/tex]
[tex]A(2,6) -> A(1,8)[/tex]
At this stage, the coordinate becomes
[tex]A(1,8)[/tex]
When a function (x,y) is rotated by 180, the new function becomes (-x,-y)
So;
The further transformation of A is
[tex]A(1,8) -> A(-1,-8)[/tex]
Hence, the new image of A is
[tex]A(-1,-8)[/tex]
Answer:
its -1,-9
Step-by-step explanation:
If x is 2+ root 3 then find (x^2+1/x^2) (x^2-1/x^2)
Answer:
Here x=2−3–√ ................…………………………………….....(1)
Hence 12−3√=12−3√⋅2+3√2+3√=2+3–√ .....................(2)
From (1) and (2) we get x+1x=4 .......……………………………....(3)
and x−1x=−23–√ ...............…………………….………....(4)
From (3) and (4) we get x2−1x2=(x+1x).(x−1x)=−83–√.
Hoped I helped
What are the degrees of freedom for Student's t distribution when the sample size is 16? d.f. = Use the Student's t distribution to find tc for a 0.95 confidence level when the sample is 16. (Round your answer to three decimal places.) A button hyperlink to the SALT program that reads: Use SALT.
Answer:
degrees of freedom = 15
tc= 1.746
Step-by-step explanation:
The degrees of freedom is given by n-1 where n is the sample size .
so the degrees of freedom for a t distribution is 16-1= 15
Now we have to find tc for 95% confidence interval. For this we look at the t- table under the 1-0.95= 0.05 for alpha for 15 degrees of freedom and the value is 1.746
This area is to the right side under the t distribution with the given degrees of freedom for the given alpha.
It can also be found out by other calculators such as graphing calculator.
Using the degree of freedom formula and the Tcritical distribution, the degree of freedom and Tcritical value are 15 and 2.131 respectively
Given that :
Sample size, n = 16The degree of freedom , df = n - 1Hence, the degree of freedom, df = 16 - 1 = 15
The t critical value :
Confidence level, α/2 = 0.05Tcritical = [tex]t_{\frac{0.05}{2}}, 15 = 2.131 [/tex]
Hence, the Tcritical value is 2.131.
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Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t, in minutes. How many minutes has Mary walked when she reaches the farthest point from her house?
Answer:
It would be option A. 10 Minutes.
Step-by-step explanation:
If you look at the graph, the farthest point, and the time of 10 minutes meet at the point (10, 2,500)
(Really hoping this helps <3)
A group of 8 children and 8 adults are going to a movie. Child tickets cost $2, and adult tickets cost $6. How much will the movie tickets cost in all? ANSWER PLEASE LOTS LOTS OF POINTS.
Answer:
64 dollars
Step-by-step explanation:
8 children and 8 adults
2 dollars for a child and 6 dollars for an adult
cost for children
8 children * 2 dollars each = 16
cost for adults
8 adults * 6 dollars each = 48
Add the two costs together
16+48 =64
Answer:
8×2=16
8×6=48
48+16=64
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 56.6 degrees. Low Temperature (◦F) 40−44 45−49 50−54 55−59 60−64 Frequency 2 7 9 5 2 The mean of the frequency distribution is nothing degrees.
Answer:
Computed mean = 51.6
Actual mean > computed mean
Step-by-step explanation:
Low temp. - - Freq(f) - - midpoint(x) - - fx
40−44 - - - - - 2 - - - - - - - 42 - - - - - - 84
45−49 - - - - - 7 - - - - - - - 47 - - - - - - 329
50−54 - - - - - 9 - - - - - - - 52 - - - - - - 468
55−59 - - - - - 5 - - - - - - - 57 - - - - - - 285
60−64 - - - - - 2 - - - - - - - 62 - - - - - - 124
Mean (m) = Σ(fx) / Σ(f)
Σ(fx) = 84 + 329 + 468 + 285 + 124 = 1290
Σ(f) = 2 + 7 + 9 + 5 + 2 = 25
Mean (m) = 1290 / 25
Computed mean (m) = 51.6
Actual mean = 56.6
Actual mean > computed mean
56.6 > 51.6
Tanaka Madison has part time job. $15.32 per hour. She works 20 hours each week. What is her straight time pay for a week
Answer:
$306.40
Step-by-step explanation:
Multiply 15.32 by 20
27 divided by 52,758
Answer:
511
Step-by-step explanation:
ok
Answer. i believe this is your answer 0.00051177072
What expression is equivalent to (8^2)^-4
Answer:
(64)^-4= 1/64^4= 1/16777216
1 +1 +1+1+1+46×7×7×7×75×8×56+4+6+8
Answer:
11,524,869
Step-by-step explanation:
Answer:
530140823Step-by-step explanation:
[tex]1+1+1+1+1+46\times \:7\times \:7\times \:7\times \:75\times \:8\times \:56+4+6+8\\\\\mathrm{Multiply\:the\:numbers:}\:46\times \:7\times \:7\times \:7\times \\\:75\times \:8\times \:56\\\\\\=530140800\\\\=1+1+1+1+1+530140800+4+6+8\\\mathrm{Add\:the\:numbers:}\:1+1+1+1+1+530140800+4+6+8\\=530140823[/tex]
There are 30 people at a meeting, They each shake hands with everyone. How many
handshakes were there? Hint: Think "The number of combinations of 30 people at a
meeting giving handshakes to each other 2 at a time."
Step-by-step explanation:
435 handshakes
hope this would be the right answer....
The total hands shake will be 435 hands shakes.
What is permutation and combination?The combination will apply when order dose not matter and when order matter permutation will apply.
the permutation and combination rule.
nCr=n!/r!(n−r)!
here. we have,
To find the total number of hands shakes we have to apply the permutation and combination rule.
nCr=n!/r!(n−r)!
Given:
There are 30 people in meeting.
In the given question order not does not matter so combination will applicable.
Calculate the number of hands shakes
C(30,2) = 30!/ 2! (30-2)!
=435
Thus, the total hands shake will be 435 hands shakes.
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In an effort to gauge national public opinion, a national basketball news website places a poll on its homepage, asking participants whether their favorite sport is football, basketball, baseball, hockey, or soccer. Is this an appropriate sampling method? No. This convenience sample is very biased and is highly unlikely to be representative of national public opinion. Yes. This convenience sample is appropriate for the limited resources of a news website and is likely to be representative of the population. Yes. This simple random sample is ideal and will be representative of the population. No. This systematic sample is very biased and is highly unlikely to be representative of national public opinion.
Answer:
No. This convenience sample is very biased and is highly unlikely to be representative of national public opinion.
Step-by-step explanation:
The sampling as per its nature should be classed as convenience sample because of its definition: this method covers part of the population with easy to reach or close to hand.
This involves only those who will access the website and this can not be considered as representative of national public opinion.
Let's see the answer options:
No. This convenience sample is very biased and is highly unlikely to be representative of national public opinion.
CorrectYes. This convenience sample is appropriate for the limited resources of a news website and is likely to be representative of the population.
Incorrect as it is not representative of national public population.Yes. This simple random sample is ideal and will be representative of the population.
Incorrect as the method of sampling is not simple randomNo. This systematic sample is very biased and is highly unlikely to be representative of national public opinion.
Incorrect as the method of sampling is not systematic.carli bought a new pair of jean for $60 if the tax if the tax rate is 8.25% how much will carli have to pay for the jeans including tax
Answer:
2.5075
Step-by-step explanation:
If the sales tax rate is 7.375% in New York State then how much sales tax would you pay in Albany for a $34 pair of pants
Sales Tax. If the sales tax rate is 7.375% in New York State, then how much sales tax would you pay in Albany for a $34 pair of pants? 34.00 x 0.07375 = 2.5075.
Find the difference between the cash price and the payment plan and calculate the interest rate for the following questions.
1. A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
2. A television for $675.00 cash, or $52.00 down and $120.00 per month for 6 months
3. A smartphone for $150.00 cash, or $25.00 down and $12.00 per month for 11 months
4. Bedroom furniture for $1,985.00 cash, or $400 down and $74.00 per month for 24 months
5. A jacket for $75.00 cash, or $25.00 down and $4.75 per week for 11 weeks
6. The Smiths bought new furniture that cost $3,298.00. The store offered them an option of putting $600 down and making equal payments of $300 a month for 10 months. Use the Federal Reserve System formula to find the APR the Smiths will pay for taking this plan.
Answer:
1).
Difference = $6
Interest rate= 4.03%
2).diffrence = $97
Interest rate = 14.37%
3). Difference = $7
Interest rate= 4.67%
4). difference= 191
Interest rate= 9.6%
5). Difference= 2.25
Interest rate= 3%
6). Difference=$ 302
Interest rate=9.12%
Step-by-step explanation:
1).$10 per months for 15 months
= 10*15=$150
PLus a down payment of $5= $155
Interest = 155-149= $6
Interest rate = 6/149*100= 4.03%
2.)$120.00 per month for 6 months
= 120*6=$ 720
Plus a down payment of $52=$772
Interest= 772-675= $97
Interest rate = 97/675 *100= 14.37%
3). $12.00 per month for 11 months
= 12*11= 132 plus down payment of $25
= $157
Interest= 157-150= $7
Interest rate=7/150 *100= 4.67%
4).$74.00 per month for 24 months
= 74*24=$1776
Plus a down payment of $400=$ 2176
Interest= 2176-1985= 191
Interest rate= 191/1985*100= 9.6%
5).$4.75 per week for 11 weeks
= 4.75*11=$52.25
Plus a down payment if $25
= 25+52.25=$ 77.25
Interest= 77.25-75= 2.25
Interest rate= 2.25/75 *100= 3%
6).$300 a month for 10 months
= 300*10= $3000
Plus a down payment of $600
= $3600
Interest=3600-3298= 302
Interest rate= 302/3298 *100=9.12%
A dog spots a cat 50 feet away and starts to chase it. At the same moment, the cat starts to run away from the dog. The dog is running 12 feet per second and the cat is running 10 feet per second. Let t represent the time elapsed (in seconds) since the chase began. Let d represent the distance between the cat and the dog (in feet) Write a formula to define the distance between them (d) in terms of the time elapsed (t).
Answer:
D(t) = 50 -2t
At 25 seconds, the dog caught up with the cat
Step-by-step explanation:
At initial time t0
Distance = 50 ft
The dog is running 12 feet per second and the cat is running 10 feet per second.
So for each each time in seconds
Dog covers 12 feet while cat extends by 10 ft .
The distance between them at any given time
D(t)= 50 +10t -12t
D(t) = 50 -2t
The time it will take the dig to get to the cat is what D= 0
D(t) = 50 -2t
0= 50- 2t
2t= 50
t= 25
So at 25 seconds, the dog caught up with the cat
What’s the slope of these points (-8,3) and (-8,2)
Answer:
donkeey kongy
Step-by-step explanation:
Eugene's grandmother is teaching him how to make her salsa recipe. Each batch of salsa requires 1 4 of a cup of red onions. If they have 1 1 2 cups of red onions, how many batches of salsa can they make?
Answer:
they can make 6 batches
Step-by-step explanation:
1/2 = 2/4 1 = 4/4
so if one batch is 1/4, and 4+2 is 6, they can make 6 batches
Answer:
6 Batches
Step-by-step explanation:
PLSSSSS HELP MARKING BRAINLIST PLS I THINK NO ONE WILL HELP ME :(
Step-by-step explanation:
sorry jesica I don't know the answer
What is the value of x in the equation 4(2x + 14) = 0? (1 point) Select one: a. 9 b. 7 c. −7 d. −9
A student currently is averaging 65.0% of the points in lecture (worth 60% of total grade) and has a 75.0% in lab (worth 40% of total grade). What is her total course % at this time?
Answer:
69
Step-by-step explanation:
If she is averaging 65% of the worth of lectures.
the lectures she had was supposedly rated out of 60. Therefore, the 65% will be 65% of 60(total grade)
0.65 * 60 = 39
On the second part, if we apply the same method, we have
0.75 * 40 = 30
All we have to do on add both together
39 + 30 = 69.
therefore, get total grade in the course is 69
Total grade in the course is 69%
Percentage :Since, the averaging 65% of the points in lecture is worth to 60% of total grade.
It means that, the 65% will be equivalent to,
[tex]=\frac{60*65}{100}=3900/100=39[/tex] percent of total grade.
And 75% in lab is worth 40% of total grade.
[tex]=\frac{75*40}{100}=30[/tex] percent of total grade.
We have to add both together
[tex]39 + 30 = 69.[/tex]
Thus, total grade in the course is 69%
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If an angle’s measure is between 0 and 90° then it is said to be a _____angle...
Answer:
acute
Step-by-step explanation:
An acute angle measures less than 90°.
In 2 1/4 hours, Nick wrote 36 text messages what’s was his unit rate during the time?
A.14 messages per hour
B.16 messages per hour
C.34 messages per hour
D.81 messages per hour
Answer:
A. 224 messages per hour
B. 256 messages per hour
C. 544 messages per hour
D. 1296 messages per hour
Step-by-step explanation:
First you need to figure out how many messages Nick wrote in 1 hour
36 messages ÷ 2.25
2.25 hours ÷ 2.25
=
16 messages
1 hour
=
16 messages
hour
Then you multiply how ever many hours by 16 because Nick can write 16 messages in 1 hour.
For what values of b are the vectors ⟨−39,b,3⟩ and ⟨b,b2,b⟩ orthogonal?
Answer:
b = 0, -6 and 6Step-by-step explanation:
Given the vectors ⟨−39,b,3⟩ and ⟨b,b²,b⟩, for the vectors to be orthogonal, the dot product of both vectors must be equal to zero.
Taking the dot product of both vectors and equating it t zero we will have;
⟨−39,b,3⟩*⟨b,b²,b⟩ = -39(b)+ b(b²)+3(b)
(Note that when multiplying, we multiply component wise and take the sum of the product if each component)
Since the vectors are orthogonal, then -39(b)+ b(b²)+3(b) = 0
open the parenthesis
-39b+b³+3b = 0
on rearranging
b³+3b-39b= 0
b³-36b= 0
factor out b from the equation
b(b²-36) = 0
b = 0 and b²-36 = 0
from b²-36 = 0
add 36 to both sides of the equation
b²-36+36= 0+36
b² = 36
take the square root of both sides
√b² = ±√36
b = ±6
Hence the values of b for the vectors to be orthogonal are 0, -6 and 6.
A 25 foot long rectangular sheet of metal, 12 inches wide, is to be made into a rain gutter by turning up two sides so that they are perpendicular to the sheet. How many inches should be turned up to give the gutter its greatest capacity?
Answer:
The value is [tex]k = 3 \ inches[/tex]
Step-by-step explanation:
From the question we are told that
The length is [tex]l = 25 \ ft[/tex]
The width is [tex]w = 12 \ inches = \frac{12}{12} = 1\ ft[/tex]
Generally let assume that (k ft) was turned up on each side hence the remaining width is
[tex](1 - 2 k ) \ ft[/tex]
Now the capacity is also the volume it can hold which is mathematically represented as
[tex]C = 25 (1- 2k) k[/tex]
[tex]C = 25 (k- 2k^2)[/tex]
[tex]C = 25k - 50k^2[/tex]
At maximum or minimum
[tex]\frac{dC}{dk} = 0[/tex]
=> [tex]\frac{dC}{dk} = 25 - 100k = 0[/tex]
=> [tex]k = 0.25\ ft[/tex]
Now to see if the value obtained is positive or negative we differentiate a second time
So
[tex]\frac{d^2C}{dk^2} = - 100k[/tex]
at k = 0,25 ft
[tex]\frac{d^2C}{dk^2} = - 100(0.25)[/tex]
[tex]\frac{d^2C}{dk^2} = -25[/tex]
since a negative value is obtained then k is the maximum value
converting to inches
[tex]k = 0.25 * 12[/tex]
[tex]k = 3 \ inches[/tex]
Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot. She counted 9 maple trees to every 5 oak trees. Later in the year there was a bug problem, and many trees died. New trees were planted to make sure there were the same number of trees as before the bug problem. The new ratio of the number of maple trees to the number of oak trees is 3:11. After planting new trees, there were 132 oak trees. How many more maple trees were in the woodlot before the bug problem than after the bug problem?
Answer:
72
Step-by-step explanation:
Initial ratio of maple trees to oak trees
9:5New ratio of maple trees to oak trees
3:11Number of oak trees = 132
Number of maple trees
132*3/11 = 36Total number of trees
132+36 = 168Initial number of maple trees
168*9/14 = 108The difference in the number of maple trees:
108 - 36 = 72Answer:
72 more trees before the bug problem
Step-by-step explanation:
The ratio was 9:5 before the bug problem and 3:11 after.
After the bug problem there were 132 oak trees,
m : 132 = 3 : 11
Then we know
m/132 = 3/11
Multiplying both sides by 132 cancels on the left
132 × (m/132) = (3/11) × 132
m = (3/11) × 132
Then solving for m
m = 132 × (3/11)
m = 36 This gives us the number of trees after the bug problem.
This would give us 168 trees in total, 132 oak, and 36 maple.
Since there is the same number of trees as before we calculate the number of maple and oak previously.
If Shelley counted 9 maple for every 5 oak we know that 9 out of 14 trees are maple and 5 out of 14 trees are oak.
9/14 = .6428 which is the percentage of maple trees before the bug problem.
We multiply .6428 x 168 (the total number of trees) and we get 108.
if there are 108 maple trees then 168-108 = 60 oak trees.
Further proof:
9:5 or 9/5 = 1.8 108/60 = 1.8
108 maple trees and 60 oak before the bug problem.
So 108 (maple before bug problem) and 36 maple trees after:
108 - 36 = 72 more trees before the bug problem
Identify the opposite of each integer: a. 4 b. −2 c. +125 d. 1,348 e. −27 f. −398
a. −4
b. 2
c. −125
d. −1,348
e. 27
f. 398
determine whether the variable is qualitive or quantitive nation of origin
It does not deal with numeric values, but rather we're talking about names or labels when we are talking about nations of origin. This variable is categorical and nominal. It is not ordinal as we cannot order the nations in any way. You could argue about alphabetical ordering of course, but that won't apply here because you could do that about any set of labels (eg: colors red,green,blue can be ordered alphabetically but intrinsically it doesn't make sense to sort colors).
Since "nation of origin" involves categories or labels representing different countries, it is considered a qualitative variable.
We have,
Qualitative variables, also known as categorical variables, represent characteristics or qualities that cannot be measured numerically.
These variables typically involve categories or labels that describe different groups or attributes.
In the case of "nation of origin," it refers to the country from which someone originates.
This variable is qualitative because it involves different categories or labels representing different nations or countries.
Examples of possible categories for nation of origin include "United States," "Canada," "France," "China," and so on.
Therefore,
Since "nation of origin" involves categories or labels representing different countries, it is considered a qualitative variable.
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One week billy worked 36 hours at $6.70 per hour the next week he worked 40 hours at $6.85 per hour how much more did he earn the second week
I need a Substep 1&2
Week one:
36 * 6.70 = $241.20
Week two:
40 * 6.85 = $274
Subtract:
274 - 241.20 = $32.80
Therefore, he made $32.80 more the second week then he did the first week.
Best of Luck!
Calculate the first, second, and third quartiles of the following sample. 5 8 2 9 5 3 7 4 2 7 4 10 4 3 5
Answer:
3 ; 4.5 ; 7.25
Step-by-step explanation:
Given the sample :
8 2 9 5 3 7 4 2 7 4 10 4 3 5
Calculate, the first, second, and third quartiles
Arranging the data in ascending order :
2, 2, 3, 3, 4, 4, 4, 5, 5, 7, 7, 8, 9, 10
First quartile :
Q1 = [(n + 1) /4]th value
n = 14
Q1 = [(14 + 1) /4]th = (15/4)th = 3.75 value
Taking the average of the 3rs and 4th observation:
(3 +3) / 2 = 3
Second quartile :
Q2 = [2(n + 1) /4]th value
Q2 = 2(15)/4 = (30/4)th value
Q2 = 7.5 ; taking the 7th and 8th value
Q2 = (4 +5) /2 = 9/2 = 4.5
Q3 = [3(n + 1) /4]th value
Q2 = 3(15)/4 = (45/4)th value
Q2 = 11.25 ; taking the 11th
Q2 = 7 + 0.25 = 7.25
PLS HELP ASAP GUYS! 50 POINTS!! Match the verbal expression to its correct algebraic expression.