Answer:
\(a^{4} b^{6} \)
Step-by-step explanation:
ab² * ab³ * a²b
a^4 b^6
\(a^{4} b^{6} \)
Rollaway Skates
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$0
$5
$10
$15
$20
$25
$30
$35
$40
Wheelie's Skates
and Stuff
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$100
$103
$106
$109
$112
$115
$118
$121
$124
Describe when Rollaway Skates is cheaper and when Wheelie's is cheaper.
Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.
Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.
I hope this helps! Do you have any other questions?
What do you call a characteristic of a living thing that helps it survive?
Answer:
An adaptation is a characteristic that helps a living thing survive and reproduce. True Natural selection is a change in the characteristics of living things over thing
The one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.
What is adaptation?Adaptation for the living thing is the main characteristics which help a living thing to be alive. It helps the living things to survive in its environment.
Importance of adaptation-
Organism are adapted to habitual thing, which help them to survive.Help to behave in changing environment.Enhance the standard of living.Thus, the one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.
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Please help
21. What are the missing coordinates of point Q?
P(0, c)
A.
B.
C.
D.
Session 2-Calculator Allowed
(-2a, 0)
(2a, 0)
(-2a, c)
(2a, c)
Q(?, ?) O
N(2a, 0)
"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.
Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:
x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2
x-coordinate of Q = (0 + 2a) / 2 = a
So, we know that the x-coordinate of point Q is a.
To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:
y - c = (0 - c) / (2a - 0) * (x - 0)
Simplifying this equation gives:
y - c = -c/2a * xy = -c/2a * x + c
Substituting x = a in this equation gives:
y = -c/2a * a + cy = -c/2 + cy = c/2
So, we know that the y-coordinate of point Q is c/2.
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Find the equation of the line that has a slope of 2 and passes through the point (-8,-1). Write the equation in point-slope form.
The equation of the line in point-slope form is y + 1 = 2(x + 8).
What is equation of line?
An equation with terms that have variables x and y independently and a degree of one is referred to be a line equation in a two-dimensional coordinate system. A linear equation is any equation with degree 1. The relationship between the x and y coordinates of any point on a straight line is known as the equation of a straight line.
The point-slope form of the equation of a line with slope m and passing through the point (x1, y1) is given by:
y - y1 = m(x - x1)
Using the given information, we have:
m = 2
x1 = -8
y1 = -1
Substituting these values into the point-slope form, we get:
y - (-1) = 2(x - (-8))
Simplifying, we get:
y + 1 = 2(x + 8)
This is the equation of the line in point-slope form.
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At a local college, only 30% of students live off campus. Of those who live off campus, 62% of those students get a part-time job. Of those who live on campus, 65% work part-time. The tree diagram shows how the college students are divided into subgroups.
The tree diagram shows college students branching off into two categories, off campus and on campus students. Off campus students branches off into two sub-categories, work part-time and do not work. On campus branches off into two subcategories, work part-time and do not work.
What is the percentage of students who live on campus who do not have a part-time job?
18.6%
24.5%
35%
38%
Answer:
24.5%
Step-by-step explanation:
Given
P(Off-Campus) = 0.30
P(Part-Time Job | Off-Campus) = 0.62
P(Part-Time Job | On-Campus) = 0.65
Inferred
P(On-Campus) = 0.70
P(No Part-Time Job | Off-Campus) = 0.38
P(No Part-Time Job | On-Campus) = 0.35
Calculation
P(No Part-Time Job | On-Campus) = P(No Part-Time Job ∩ On-Campus)/P(On-Campus)
0.35 = P(No Part-Time Job ∩ On-Campus)/0.70
0.245 = P(No Part-Time Job ∩ On-Campus)
Therefore, 24.5% of students that live on campus do not have a part-time job.
Find the next three terms of the following geometric sequence:
Leave your answers in surd form.
2√√3
2
6
Answer: here I hope this helps
Step-by-step explanation: To determine if the sequence is geometric, we find the ratio of the consecutive terms shown.
Find the ratio of the consecutive terms. 4,8428,168216,3216232,6432264,128642128,…
The sequence is geometric. The common ratio is r=2.
Find the ratio of the consecutive terms. −2,6−2−36,−126−2−12,36−12−336,−7236−2−72,216−72−3216,…
The sequence is not geometric. There is no common ratio.
27,9,3,1,13,19,…
Find the ratio of the consecutive terms. 927133913131313113191313
The sequence is geometric. The common ratio is r=13.
Martin reconditions cameras allu sens
Which equation best represents the relationship between r the cost of a reconditioned camera and n its cost when new?
A
r
= 2n
B
r
2.
С
n
=
رہاہے
D
n = p2
Answer:
B: r =n/2
Step-by-step explanation:
Recondition only mean is that half of what the new is so recondition equals the new over half because recondition is half the price of the new
what is six hundred eighty and fourteen thousandths written in standard form?
Answer:618.014
Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.
How do we know where to label base and where to label height on a trapezium. does it matter where they are on the trapezium or does it have to be in rectangular please help on question
The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.
In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.
Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.
Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.
It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.
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An accountant drives 50 miles a day to work. Write an expression that represents the total number of miles he drives after x days
Answer:
It is 50x or 50*x or 50(x).
What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explain each step in figuring out how to determine the time it would
take Jennifer to complete this job on her own. Pls help 20 minutes left
Answer:
Jennifer would complete the job on her own in 5 hours.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
\(ax^{2} + bx + c, a\neq0\).
This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:
\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)
\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)
\(\Delta = b^{2} - 4ac\)
Rates
The together rate is the sum of their separates rate.
We have that:
Jennifer takes x hours to complete the job on her own, so her rate is 1/x.
Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).
The together rate is 1/4. So
\(\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}\)
\(\frac{1}{4} = \frac{15 + x + x}{x(15+x)}\)
\(\frac{1}{4} = \frac{15 + 2x}{x(15+x)}\)
Applying cross multiplication.
\(x^2 + 15x = 4(15 + 2x)\)
\(x^2 + 15x = 60 + 8x\)
\(x^2 + 7x - 60 = 0\)
Quadratic equation with \(a = 1, b = 7, c = -60\). So
\(\Delta = 7^{2} - 4*1*60 = 289\)
\(x_{1} = \frac{-7 + \sqrt{289}}{2} = 5\)
\(x_{2} = \frac{-7 - \sqrt{289}}{2} = -12\)
Since the time to complete the job has to be a positive value.
Jennifer would complete the job on her own in 5 hours.
find the slope of the line that passes through the given cordanits-1,6 and 4,3
Answer:
-1
Step-by-step explanation:
the coordinates are (1,6)(4,3)
lets say that
x1=1
x2=4
y1=6
y2=3
slope formula: (y2-y1)/(x2-x1)
= (3-6)/(4-1)
= -3/3
= -1
please help quick giving 25 points
Answer:
Step-by-step explanation: 5.) Circular shape.
6.) Feet.
7.) Circle.
8.) The circumference is 9 and the radius is 18.
9.) By the way we would need to use The Circumference as 2 and the radius to be 9 to equal 18 for the radius circle.
the point that doesn't lie to a straight line y=-4x+12 is
Answer:
12?
Step-by-step explanation:
Bro can yall make me feel good i spilled oat meal on my pants
Answer:
HMMM. LET ME THINK everything will be okay
At least you ate a nice healthy meal.
Also, if you can find some fresh pants or you can go to the bathroom and grab paper and wet it and it may take out the stain
REMEMBER EVERYONE HAS BAD DAY INCLUDING MYSELF
HAVE A NICE DAY :)
Step-by-step explanation:
Find the slope of every line that is parallel to the line on the graph ob Enter the correct answer. 6 4 OOO DONE Clear al N ? (-8,0) 10-12 pop -6 ko 8 ४ 2 2 8 do
Step-by-step explanation:
x=-6 y= 0
x0 y= -1
y=mx+b
b= -1
0= -6m -1
-6m= 1
m= -1/6
parallel lines have the same slope
slope = -1/6
Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number.)
Rolling an even number or doubles
The probability of the Doubles" means both dice show the same number is 36.
What is probability?When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.
The likelihood of rolling an even number or doubles is thus:
The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.
The odds of rolling an even number or two doubles are 19/36.
Therefore, the probability of the Doubles" means both dice show the same number is 36.
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Solve x2 + 12x = –20 by completing the square.
Answer:
Solve x2 + 12x = –20 by completing the square.Add to both sides of the equation. The value of in this equation is 36Write the left side of the equation as a binomial squared. The left side of the equation becomes (x+6)2.Use the square root property of equality.Isolate the variable: x = -10 and -2
Step-by-step explanation:
How to solve:
5 1/2 + x/6 ≤ 3 1/3
Answer:
the answer is x ≤ -91
Step-by-step explanation:
2. Ms. Groves has trays of paints for students in her
art class. Each tray has 5 colors. One of the colors
is purple. What fraction of the colors in 20 trays is
purple?
Answer:
\(Fraction = \frac{1}{5}\)
Step-by-step explanation:
Given
\(Trays = 20\)
\(Each\ Tray = 5\ colors\)
\(Each\ set = 1\ Purple\)
Required
Fraction of purple in 20 trays
If there are 20 trays, then the total colors is:
\(Colors= 20 * 5\)
\(Colors= 100\)
This also means that, there are 20 purple colors in the set (i.e. 20 trays * 1 purple)
So, the fraction of purple color is:
\(Fraction = \frac{Purple}{Total}\)
\(Fraction = \frac{20}{100}\)
\(Fraction = \frac{1}{5}\)
The difference between the roots of the equation 2x^2-5x+c=0 is 0.25. Find c.
expressions or equations.
Select all the ways to name 14.09.
a. 1,409 hundredths
b. 1 ten + 409 hundredths
c. 1 ten + 4 ones + 9 tenths
d. 140 tenths +9 hundredths
e. 1,409 tenths
Please help
D.
Figure A was translated 1.5 inches right to create Figure B.
E.
Figure A was rotated
90
°
about a point in the middle of the figures to create Figure B.
Answer:
B
Step-by-step explanation:
Process of elimination, it wasn't reflected because point a and point E are on opposite sides in figure B compared to figure A. It wasn't rotated 90° Because point H is once again on the complete opposite side, if it was 90° it would be to the left or the right, not opposite. It wasn't translated Because all points are in different places.
each of two computers can process bills at 160/min a newer model can process bills at 200/min after the first two computers have worked 1.5 min they are joined by the third computer how long will it take from the time the first two computers are turned on to process 1780?
Based on the rate at which all three computers process bills, the time taken for the computers to process 1,780 bills is 4 minutes.
What is the time taken to process 1,780 bills?First find the number of bills left when the third computer joined:
= 1,780 - (160 x 1.5 mins) - (160 x 1.5 mins)
= 1,300
Then the average speed of all three computers is:
= 160 + 160 + 200
= 520 bills per minute
The time taken to finish up the other bills would be:
= 1,300 / 520
= 2.5 minutes
Add this to the minutes already elapsed before the third computer was used:
= 2.5 + 1.5
= 4 minutes
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Part III: If a bottle of dishwashing detergent cost $0.31 in 1950, and if the price of
dishwashing detergent increased at the same rate as the CPI from 1950 to 1970,
what was the CPI to the nearest tenth in 1950?
the CPI to the nearest tenth in 1950 was 24.06.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, a bottle of dishwashing detergent cost $0.31 in 1950 and In 1970, a bottle of dishwashing detergent cost $0.50
Since CPI, Consumer Price Index measures the overall change in consumer prices based on a representative basket of goods and services over time.
The price of dishwashing detergent increased at the same rate as the CPI from 1950 to 1970.
So,
0.50 / 0.31 = CpI for 1970/ CPI for 1950
Since CPI in 1970 is 38.80
CPI in 1950 = 0.62 * 38.80
CPI in 1950 = 24.056
Therefore, the CPI to the nearest tenth in 1950 was 24.06.
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Complete question:
In 1970, a bottle of dishwashing detergent cost $0.50. To answer each of the parts below, assume that the consumer price index (CPI) was 29.6 in 1960, 38.8 in 1970, and 82.4 in 1980.
If the price of dishwashing detergent increased at the same rate as the CPI from 1970 to 1980, how much did a bottle of dishwashing detergent cost in 1980? By how much did the price of a bottle of dishwashing detergent increase from 1970 to 1980?
what is one additional piece of information would you need in order to prove the two triangles congruent by the stated postulate or theorem? **PLS HELP ME!**
(HL THEOREM)
Answer:
LO ⊥ NM
Step-by-step explanation:
The HL theorem only applies to right triangles. The angles at O need to be shown to be right angles. You need to know that LO ⊥ NM.
what is the area of a rectangle that has a height of 7x^2 and a width of 3x^2+8x+7
Answer:
21x^4 + 8x + 7
Step-by-step explanation:
This is the answer because:
1) Simplify each term and multiply like terms and multiply them because in order to find the area we have to multiply the height and width.
2) Since we have to multiply like terms, 7x^2 and 3x^2 are the only like terms. Therefore, we multiply 7x^2 * 3x^2 = 21x^4.
3) The rest of the numbers are not like terms.
4) Therefore, the answer is 21x^4 + 8x + 7
Hope this helps!
please help me with i’ll give you brainlist
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.
What is whisker plot?A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.
Here,
To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:
Minimum value: the smallest value in the data set.
First quartile (Q1): the median of the lower half of the data set.
Median: the middle value in the data set.
Third quartile (Q3): the median of the upper half of the data set.
Maximum value: the largest value in the data set.
First, we need to put the data in order:
10, 12, 14, 15, 16, 18, 22, 24, 25, 28
The minimum value is 10 and the maximum value is 28.
The median is the middle value, which is 18.
To find the first quartile, we need to find the median of the lower half of the data set, which is:
10, 12, 14, 15, 16
The median of this lower half is 14.
To find the third quartile, we need to find the median of the upper half of the data set, which is:
22, 24, 25, 28
The median of this upper half is 24.
So, the five-number summary for this data set is:
Minimum value = 10
First quartile (Q1) = 14
Median = 18
Third quartile (Q3) = 24
Maximum value = 28
Now we can use this information to create the box and whisker plot:
| |
----+----+----+----+----
10 14 18 24 28
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.
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