Solving the Question
We're given:
1,-3, 9, -27, 81, -243, ...The first term is 1. It appears that, to get each consecutive term, we have to multiply the previous term by -3.
i.e. 1 x -3 = -3-3 x -3 = 99 x -3 = -27Therefore, to get each the next two terms, we have to multiply the previous term by -3.
AnswerTherefore, to get each the next two terms, we have to multiply the previous term by -3.
Joe, Keith and Larry shared a box of sweets. Joe took 2
9
of the sweets while Keith took
twice as many sweets as Joe. Larry took the rest of the sweets.
a) What fraction of the sweets did Larry take?
b) How many sweets were there at first if Larry took 24 sweets less than the total
number of sweets taken by Joe and Keith?
c) Express the number of sweets Keith took as a fraction of the number of sweets
Larry took
(a) Larry took ( 1/3 ) of the sweets in the box.
(b) There were a total of 72 sweets in the box.
(c) The fraction of sweets taken by Keith and Joe are ( 288/9) and ( 144/9 ) respectively.
Keith, Larry, and Joe shared a box of sweets.
Let the total number of sweets be y.
Now, Joe took ( 2/9) of the sweets.
Therefore, the number of sweets Joe took = ( 2/9 )y
Now, Keith took twice as many sweets as Joe.
Therefore, the number of sweets Keith took = 2 × ( 2/9 )y = (4/9) y
Then, the number of sweets Larry too k will be:
= y - ( 2/9 )y - (4/9) y
(a) Then the fraction of sweets Larry took is:
= y - ( 2/9 )y - (4/9) y
= y - [ ( 2 + 4) / 9 ] y
= y - ( 6 / 9 )y
= y - ( 2/3)y
= [ ( 3 - 2 )/3 ]y
= ( 1/3 )y
(b) If Larry took 24 sweets less than the total number of sweets taken by Joe and Keith.
Then,
the number of sweets Keith took + the number of sweets Joe took - 24 = ( 1/3 )y
( 4/9 )y + ( 2/9)y - 24 = ( 1/3 )y
( 6/9 )y - 24 = ( 1/3 )y
( 6/9)y - ( 1/3 )y = 24
[ ( 6 - 3) / 9 ]y = 24
( 3/9 )y = 24
( 1/3)y = 24
y = 24 × 3
y = 72
There were 72 sweets in the box.
(c) The number of sweets Keith took
= (4/9) y
= ( 4/9 ) × 72
= ( 288/9 )
The number of sweets taken by Joe is:
= ( 2/9 )y
= ( 2/9) × 72
= ( 144/9 )
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based on your computations from part i of this exercise, determine which one of the following rules holds for matrices. select all that applies. group of answer choices
Your question was incomplete. Please refer the content below:
Based on your computations from part I of this exercise, determine which one of the following rules holds for matrices. select all that applies. group of answer choices:
a) A( B + C ) = AB + AC
b) A( B + C ) = BA + CA
c) (A + B)² = A² + 2 AB + B²
d) (AB)² = A²B²
e) (A - B)( A + B ) = A² - B²
The option that is correct is option (a) A( B + C ) = AB + AC.
We know that distributive property holds for all the matrices.
So, we get that:
A( B + C ) = AB + AC
We also know that commutative property does not hold for matrices.
So, we get that:
A( B + C ) = AB + AC ≠ BA + CA
A( B + C ) ≠ BA + CA
(A + B)² = A² + BA + AB + B²
(A + B)² ≠ A² + 2 AB + B² (as AB ≠ BA)
(AB)² = ABAB ≠ A²B²
(A - B)( A + B ) = A² - BA + AB + B² ≠ A² - B²
Therefore, we get that only option (a) A( B + C ) = AB + AC is the correct option.
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I Need Help ASAP..... Look At ScreenShot
If the triangle is acute, the possible value for the area of the square on the remaining side is 81 inch².
What is the possible area?For the triangle to be acute, then the area of both the smaller squares need to be able to be larger than the area of the longer side square when added.
This means that if the triangle is acute, the minimum area of the smaller side is:
= 100 - 36 + 1
= 65 inch²
Of the options, the only area larger than 65 inch² is 81 inch².
Options for this question include:
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what is the value of the expression 2[I(y-5z)] when I=5/2 y=7 and z=1/5
Answer:
Plug in the numbers to the variables
Step-by-step explanation:
Im not giving ya'll the straight answer because I use it all the time in almost all of my math.
Because you have the value of the variables, all you need to do is plug those variables in and the solve like you usually would (PEMDAS)
Hope this helps and ya'll got this! ;)
A tram moved upward for 12 seconds what was the total change in the trams elevation
Answer:
It depends on the steepness of the climb
Step-by-step explanation:
how can we reduce the rate of refusals in telephone surveys? most people who answer at all listen to the interviewer’s introductory remarks and then decide whether to continue. one study made telephone calls to randomly selected households to ask opinions about the next election. in some calls, the interviewer gave her name; in others, she identified the university she was representing; and in still others, she identified both herself and the university. for each type of call, the interviewer either did or did not offer to send a copy of the final survey results to the person interviewed. what are the factors in this experiment and how many levels does each factor have?
We can reduce the rate of refusals in telephone surveys by doing face to face surveys.
What are telephone surveys?A phone study can keep going extremely lengthy, which brings about getting legitimate reactions and knowledge of the respondent's perspective which helps
social event a lot of information. Time limits are a disadvantage of telephone interview studies. Frequently, when you contact individuals at home, they are engaged with different exercises, like having supper or sitting in front of the TV. A few potential interviewees may be hesitant to partake in a meeting because of how much time they dread it will take. Examination can be assembled rapidly in light of the fact that telephone interviews are prompt and gifted questioners can finish a great deal of overviews in a day of work. A great many people have phones, so you have an adequate crowd for get-together a delegate test to finish the study.
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Is y=5 a linear or nonlinear function? Why?
Answer: It is linear.
Step-by-step explanation: A linear function must have a degree of 0 or 1. In this case, the slope is 0 but the degree is still 1. 5^1 = 5. So it is linear
Answer:no
Step-by-step explanation: In order for a linear function to be true it has to include a slope intercept
I need help getting my answer
5. When a company first started it had 85 employees. It was decided to increase the number of employees by 10 at the beginning of each year. PLS ASAP!!
a. find the number of employees during the second year and during the third year.
b. how many employees will this company have during the 10th year?
c. After how many years will the company have 285 employees?
Answer:
a. 105 and 115 employees
b. 185 employees
c. 20 years
Step-by-step explanation:
The total of employees at any given year is y
x is the number of year
then y = 85 + 10x
a. 2nd year: y = 85 + 10(2) = 85 + 20 = 105
3rd year: y = 85 + 10(3) = 85 + 30 = 115
b. 10th year: y = 85 + 10(10) = 85 + 100 = 185
c: if y = 285
285 = 85 + 10x
10x = 285 - 85
10x = 200
x = 20
Step-by-step explanation:
a.) 105 and 115
b.) 185
c.) 20 yrs
3. What is the perimeter of a square
that is 3 inches on one side?
A 15 inches
(B) 12 inches
C
D
9 inches
3 inches
Step-by-step explanation:
(B) 12 Inches is the answer because perimeter (P) =4l =4×3=12
What is the solution set to the inequality m - 7 > -2(m + 0.5)
The solution set to the inequality is m>2.The correct ray to represent the solution is o---> placed at 2.
Inequality is a statement of order,greater than, less than, greater than or equal to or less than or equal to between two algebraic expression. Inorder to solve an inequality we change the sides of the unknown variable and the constants. We always have to keep in mind the change of sign, if we change sign then we have to change the relation between the two expressions too. Here we have been given an inequality which is
m-7>-2(m+0.5)
In this inequality m is the unknown variable and we have to solve for m,
m-7>-2(m+0.5)
⇒m-7>-2m-1
⇒2m+m>7-1
⇒3m>6
⇒m>2
The solution set to the given inequality is m>2, so the correct ray to represent the solution is o---> placed at 2 on the number line.
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Point U is on line segment \overline{TV}
TV
. Given TV=19TV=19 and UV=15,UV=15, determine the length \overline{TU}.
TU
.
The measure of length TU is 4 units
How to determine the measure of length TU?See attachment for the image of the line
The given parameters are
Line TV = 19 units
Line UV = 15 units
From the question, we understand that the point U is on line TV
This means that
The measure of length TU is calculated as
TU = TV + UV
This gives
TU = 19 - 15
Evaluate the like terms
TU = 4
Hence, the measure of length TU is 4 units
See attachment for the image of the line
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What is the solution set for -3x ? 3 > -21?
The solution set for the inequality expression is (-∞, -6)
Solving inequalitiesInequality are expressions that does not involve an equality sign.
Given the following parameters
-3x + 3 > -21
Subtract 3 from both sides
-3x + 3 - 3 > 21 - 3
-3x > 18
Divide both sides by -3
-3x/-3 < 18/-3
x < -6
Hence the solution set for the inequality expression is (-∞, -6)
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Please help due tonight
Answer:
Step-by-step explanation.
b. Name three points coplanar with point B.
FO
OE
G
D
A
B
l
m
P
Find the value of k in the data set so that it becomes a linear function.
x = {-2, 2, 6, 10}
f(x) = {k, 2, 7, 12}
k = 3
So if your looking at the test I think your looking at, C.
In 4 games, Larry averaged 23 PPG (points per game). How many points does he need to score in the last game to have an average of 25 PPG? Explain how to use the mean and data given to find the answer.
The points does he need to score in the last game to have an average of 25 PPG is 33 points
Larry will need 33 points in his 5th game to average 25 PPG.Given that
Larry averaged 23 PPG (points per game) in 4 games.To find
How many points are required to have an average of 25 PPG?So, according to the question
We have,
Larry's average in 4 games = 23 PPG.∵ [tex]average = \frac{sum\;of\;terms}{number\;of\;terms}[/tex]
∴ Total points gained by Larry in 4 games
= (average points in 4 games) × 4
= 23 × 4
= 92 points.
Let's assume Larry scored x points in the 5th match to have an average of 25 PPG.
So, we can say that
Larry's average in 5 games = [tex]\frac{total\;points\; in\; 5\;games}{5}[/tex]
25 = [tex]\frac{92+x}{5}[/tex]
25 × 5 = 92 + x
125 = 92 + x
x = 125 - 92
x = 33.
He will need 33 points in his 5th game.
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Multiply 5 by 25 to find the total points Larry needs to score in 5 games, 5 × 25 = 125. Then find the total points Larry scored in the frist 4 games, 4 × 23 = 92. Subtract to find the number of points Larry needs to score
took the quiz
solve for x
3(2x+18)=36
Answer:
x = -3
Hope this helps
Step-by-step explanation:
( (2x*3) + (18*3) ) = 36
(6x + 54) = 36
6x + 54 = 36
6x + 54 - 54 = 36 - 54
6x = -18
6x / 6 = -18 / 6
x = -3
answer please due at 12
Answer:
11: Area as sum: 7d + 28
Area as product 7(d+4)
12: Area as sum: 2y + 3y (could also be y^2 + 3y)
Area as product: y(y+3)
Step-by-step explanation:
For area as sum it's just distributing to each box, and then adding.
For area as product you just undistribute it and put it into parenthesis.
Under her cell phone plan, Khloe pays a flat cost of $52 per month and $4 per gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes, she would have to pay for 3 whole gigabytes.) She wants to keep her bill under $65 per month. What is the maximum whole number of gigabytes of data she can use while staying within her budget?
The maximum whole number of gigabytes of data she can use while staying within her budget is 3 gigabytes.
How to calculate the value?From the information, Khloe pays a flat cost of $52 per month and $4 per gigabyte, or part of a gigabyte and she wants her bill to be under $65.
Let the number of gigabytes be represented by x.
Therefore, this will be:
52 + 4x < 65
Collect like terms
4x < 65 - 52
4x < 13
x < 13/4
x < 3.25
Therefore, the highest gigabytes that she can buy will be 3 gigabytes.
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The slope of the function on the left is multiplied by p, and q is added to the y-intercept to arrive at the function on the right. Which of the following are the values for p and q?
The values of p and q are -2 and -3 respectively. Hence, (d) is the answer.
Given that:-
The slope of the function on the left is multiplied by p, and q is added to the y-intercept to arrive at the function on the right.
We have to find the values of p and q.
Points of the graph on the left are (-2,0) and (0,1)
Slope of the graph on the left = (1 - 0)/(0 - (-2)) = 1/2
y-intercept of the graph on the left = 1
Hence, the slope intercept form of the graph on the left is :-
y = (1/2)x + 1
Hence, according to the data given in the question, the slope-intercept form of the line on the left is y = (p/2)x + (q + 1)
Also,
Points of the graph on the right are (-2,0) and (0,-2)
Slope of the graph on the right = (-2 - 0)/(0 - (-2)) = -2/2 = -1
y-intercept of the graph on the right = -2
Hence,
Hence, the slope intercept form of the graph on the right is :-
y = -1x -2
Hence,
p/2 = -1
p = -2
and,
q + 1 = -2
q = -3
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Jaime $8.00 of the $25.00 in his wallet. which decimal represents the fraction of the $25.00 Jaime spent
Decimal which represents the fraction of the $25.00 Jaime spent is equal to 0.32.
As given in the question,
Total amount in wallet = $25.00
Amount spent = $8.00
Decimal which represents the fraction of the $25.00 Jaime spent
Fraction spent by Jaime = (Amount spent by Jaime)/(Total amount in wallet)
⇒Fraction spent by Jaime = ($ 8.00 ) / ($ 25.00)
⇒Fraction spent by Jaime = 8/25
Convert it into decimal
Decimal represents the fraction spent by Jaime = 0.32
Therefore, decimal which represents the fraction of the $25.00 Jaime spent is equal to 0.32.
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hey can someone please help with this question please?
someone pls help me w this. I rlly need this!! thank uu! "what is the midpoint of a line segment with endpoints (3,8) and (-2,6)"
Answer:(1/2, 7) as decimal = (0.5, 7)
Step-by-step explanation:
===================================================
Explanation:
The x coordinates are 3 and -2
Add them up: 3 + (-2) = 1Divide the result in half: 1/2 = 0.5The x coordinate of the midpoint is 0.5
--------------
The steps are the same idea for the y coordinates
Add: 8+6 = 14Divide in half: 14/2 = 7The y coordinate of the midpoint is 7
--------------
Overall, the midpoint is located at (0.5, 7)
You can confirm this by letting
A = (3,8)
B = (0.5, 7)
C = (-2,6)
Then use the distance formula to see that AB = BC
in an experiment, each volunteer was allowed to choose between an easy task and a hard task and was told that another volunteer would do the other task. each volunteer could also choose to have a computer assign the two tasks randomly. most volunteers chose the easy task for themselves and under questioning later said they had acted fairly. but when the scenario was described to another group of volunteers, almost all said choosing the easy task would be unfair. this shows that most people apply weaker moral standards to themselves than to others.
The participants' most ethical option would have been to let the computer assign the two assignments at random.
What is critical reasoning?A highly transferable skill set that is highly valued in a range of employment routes is analytical and critical reasoning. No matter their field, the most prevalent quality of effective researchers is their ability to think critically and analytically. This skill enables you, whether you're a graduate student or a working person, to efficiently move through the various stages of the research process, including gathering and synthesizing data, assessing conflicting evidence, formulating questions and testing hypotheses, and interpreting and reflecting on your own findings in relation to other studies. In fields that depend on complex decision-making, like healthcare, where errors in judgment can have serious repercussions, it is crucial to develop analytical and critical thinking abilities to lessen biased practices.
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The Earth is 287 x 10^7 from Uranus, while Saturn is 12 x 10^8 from Earth. How much farther is Uranus from the Earth than Saturn?
Answer:
1199693701
Step-by-step explanation:
URANUS IS 306299
SATURN IS 1200000000
1200000000-306299=1199693701
Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation? Select the correct answer. 0.75x = 0.8(x + 10) 0.75(x + 10) + 0.8x = 101 0.75x + 0.8x + 10 = 101 0.75x + 0.8(x + 10) = 101
Answer:
last one 0.75x + 0.8(x + 10) = 101
Step-by-step explanation:
Jared made 75% = 0.75
let, his attempts = x
zach made 80% = 0.80
his attempts = (x+10)
total = 0.75x + 0.80(x+10) = 101
Hope it helps!
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Express 56 as the product of its prime factors.
Write the prime factors in ascending order.
7
8
The prime factors in ascending order are 2,7.
Given that, 56 is a number that is needed to be expressed as the product of prime numbers that is prime factors.
prime number is defined as , if a number is divided by only one and itself then it is named as a prime number.
prime factor is defined as , if a number can be represented in terms of multiplication of the prime numbers is known as the prime factor.
prime numbers are 2,3,5,7,11,13,17,1923,29,31,37..etc.
expressing 56 in terms of prime factors.
As 56 is an even number, you can just express this in smallest prime number that is 2 .
firstly you can express 56 in product of 23 and 2.
you can not divide again 23 as it was prime number.
so , you can express 56 as 23*2 or you may access this as 2*2*2*7
Prime factors in ascending order are , 2,7 or 2,23.
As we choose least prime factors we prefer 56 = 2*2*2*7.
Therefore ascending order of prime factors will be 2,7.
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DVE
Note: Please make sure to property format your answers. All dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma
($2,354.67). All percentage values in the answers need to Include a percentage sign (%%). For all items without specific rounding instructions, round your answers to two decimal piaces,
o show both decimal places (5.05).
4 recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per
day
10.
for food and lodging with a standard deviation of $60 per day. You can compute the mean food and lodging cost of a 10-day vacation by multiplying the per-day mean by
The standard deviation for the 10-day vacation can be found by multiplying by 10 also.
a. What is the mean for food and lodging for a 10-day vacation?
b. What is the standard deviation of the distribution for the 10-day vacation?
What is the variance of the distribution for the 10-day vacation?
The statistical measures for the 10-day vacation are given as follows:
a) Mean: $2470.
b) Standard deviation: $189.74.
c) Variance: $²36,001.
What is the mean for the 10-day distribution?To find the mean for n days, we take the mean amount for the distribution in a single day and multiply by n.
Hence, considering that the mean for a single day is of $247:
247 x 10 = $2470.
What is the standard deviation for the 10-day distribution?To find the standard deviation for n days, we take the standard deviation for a single day and multiply by the square root n.
Hence, considering that the standard deviation for a single day is of $60, we have that:
60 x sqrt(10) = $189.74.
What is the variance for the 10-day distribution?For any distribution, the variance is the square of the standard deviation, hence:
($189.74)² = $²36,001.
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paul and tom both commute to work. paul's commute on the train takes 15 minutes more than one third as many minutes as tom's commute by car. it takes paul 45 minutes to get to work. write an equation to determine how many minutes it takes tom to get to work.
It takes Tom 90 minutes to reach at the work.
Given,
Total time taken by paul = 45 minutes
Time taken by tom = x
According to the question,
the equation will be -
45 = (1/3)x + 15
On solving,
45 - 15 = (1/3)x
30 = (1/3)x
x = 90 minutes
So, it takes, tom 90 minutes to reach
What is a linear equation?An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
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