Answers
Answer:
Perimeter is 4a - 10
Area is a^2 - 5a
Step-by-step explanation:
Two sides of the rectangle are "a" and two sides of the rectangle are "a-5" add all four sides and you get a+a+a-5+a-5 Combine the like terms and you get 4a - 10.
The area is when you multiple the two sides together
A = lw
A - a(a-5) = a^2 - 5a
Related Questions
4x + 3 = 2x + 9
Solve for x
Answers
Answer:
x = 3
Step-by-step explanation:
4x + 3 = 2x + 9
1. Remove 3 from both sides
4x = 2x + 6
2. Remove 2x from both sides
2x = 6
3. x = 3
Answer:
here is the answer
hope it helps u
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{ BTS ARMY GIRL }
Rashmi
What is the domain of the following points? Group of answer choices {-4, 1, 4} {-4, -1, 1, 4} {-1, 4, 1} {1, 4}
Answers
The domain of the relation shown in the graph is -4 <= x <= 4
How to determine the domain of the relation shown in the graph?The complete question is added as an attachment
The relation on the graph is an ellipse function.
The domain is the set of x values the function can take
From the graph, we have the following x values
This means that the domain of x in the graph is -4 <= x <= 4
Hence, the domain of the relation shown in the graph is -4 <= x <= 4
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A school club has 5 members. From these 5 members, a 2-person team must be chosen to represent the club at a school carnival. How many different 2-person teams can be made from the 5 club members?
A 10 teams
B 15 teams
C 20 teams
D 25 teams
Answers
Answer:
20 teams can be made
Answer:
A. 10 teams
Step-by-step explanation:
a 2-person team is a combination of two elements out of 5.
Then
The number of possible teams is :
[tex]C^{2}_5 = \frac{5!}{2! \times (5-2)!} = \frac{5!}{2! \times 3!}=10[/tex]
What type of polynomial is: 3x^4 - 2x^3 - 2
Answers
This polynomial has only 3 terms, so it is a trinomial. Hope it helps!
Which elementary row operation will reduce the x–element in row 2 to 0 in this matrix?
Answers
The elementary row operation that will reduce the x–element in row 2 to 0 in this matrix is -2R1 + R2
How to determine the elementary row operation?The complete question is added as an attachment
The matrix is given as:
1 1 1 12
2 1 0 14
2 0 3 19
Rewrite as:
x y z
1 1 1 12
2 1 0 14
2 0 3 19
So, the x-element of the second row is
x = 2
When the first row is multiplied by negative 2 and added to the second row, the x-element of the second row is reduced to 0
This is represented as;
-2R1 + R2
i.e.
-2(1 1 1 12)
+ 2 1 0 14
---------------------------
0 -1 -2 -10
Hence, the elementary row operation that will reduce the x–element in row 2 to 0 in this matrix is -2R1 + R2
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Please help! I've already answered part a, I don't understand what part b is asking.
Answers
Step-by-step explanation:
So, there is something known as a removable discontinuity, and it's essentially where you can define f(x) using the most simplified fraction, where you could normally not define f(x).
So we have the following equation:
[tex]f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}[/tex]
As you may know, we cannot divide a number by the value of zero. When the denominator is equal to zero, on the graph this will appear as a vertical asymptote, where x approaches the value that makes the denominator zero, but never actually reaches it.
If you look at each denominator, you can set them equal to zero to find the vertical asymptotes
x+1 = 0
x=-1
There should be a vertical asymptote at x=-1, since it would make two of the denominators equal to -1, but let's divide the two fractions first.
Original Equation
[tex]f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}[/tex]
Keep, change, flip
[tex]f(x) = (\frac{x+5}{x+1}*\frac{(x-4)(x+1)}{(x+3)(x-2)})-\frac{1}{x-2}[/tex]
Multiply the two fractions
[tex]f(x) = (\frac{(x+5)(x-4)(x+1)}{(x+1)(x+3)(x-2)})-\frac{1}{x-2}[/tex]
Notice how the x+1 is in the numerator and fraction? That means we can cancel it out!
[tex]f(x) = (\frac{(x+5)(x-4)}{(x+3)(x-2)})-\frac{1}{x-2}[/tex]
In this simplified version of the fraction, we can technically define f(-1), but in the original version, since it's not defined there is a removable discontinuity at x=-1, meaning there is no vertical asymptote, but the function is still not defined at f(-1), and there will be a hole at that point.
where should i place the points!!! help!!
Answers
Answer:
-7
Step-by-step explanation:
What is the slope of the line shown in the graph? Express your answer as an improper fraction or as an integer as appropriate. Show your work
Answers
Slope can be found between two points using the formula [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex].
If we substitute in your points (which is x and which is y does not matter as long as it is consistent), we will get
[tex]\frac{(4-1)}{(2-0)}[/tex].
Simplifying this further, your slope will be
[tex]\frac{3}{2}[/tex].
hope this helps!
Boyle's law states that if the temperature of a gas remains constant, then PV=c, where P=pressure,V=volume , and c is a constant. Given a quantity of gas at constant temperature, if V is decreasing at a rate of 10in^3/sec, at what rate is P increasing when P =60lb/in^2 and V=20in^3 in? (do not round your answer.)
a. 30 lb/in^2 per sec
b. 120lb/in^2 per sec
c. 9 lb/in^2 per sec
d. 10/3 lb/in^2 per sec
Answers
The pressure, P if V is decreasing at a rate of 10in^3/sec is 120lb/in^2 per sec.option B
Boyle's lawPV = c
where,
P=pressure,V=volume , and c is a constantwhen P =60lb/in^2 and V=20in^3
PV = c
60 × 20 = 1200 in
Find P if V is decreasing at a rate of 10in^3/sec
PV = c
P × 10 = 1200
10P = 1200
P = 1200 / 10
P = 120lb/in^2 per sec
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find the surface area of composite figure. use 3.14 for π. round to the nearest tenth
Answers
Answer:
334 in²
Step-by-step explanation:
The total surface area of the composite figure is the sum of the total area of the bottom cuboid and the lateral area of the top cuboid.
Total cuboid areaThe area of a cuboid is given by the formula ...
A = 2(LW +H(L+W))
For the bottom cuboid, the area is ...
A = 2((9 in)(7 in) +(5 in)(9 in +7 in)) = 2(63 in² +5(16) in²) = 286 in²
Lateral areaThe lateral area of a cuboid is the product of its perimeter and height. The perimeter is the sum of side lengths, or twice the sum of length and width.
LA = Ph = (2(l +w))h
LA = 2(5 in +3 in)(3 in) = 48 in²
Total composite areaThe total surface area is the sum of the lateral area of the top cuboid and the total area of the bottom cuboid:
SA = (48 in²) +(286 in²) = 334 in²
The surface area of the composite figure is 334 square inches.
__
Additional comment
The exposed area of the bottom cuboid is its total area less the area of the very top face.
The exposed area of the top cuboid is its lateral area plus the area of the very top face.
When we add these two exposed areas together, we find the area of the very top face is both subtracted and added from the sum of the total bottom area and the lateral top area. We skipped that step of adding and subtracting, because its net effect is zero.
Mr. and mrs. smith plan to roof the cabin on 2 consecutive days. Assuming that the chance of rain is independent of the day, what is the probability that it will rain both days?
Answers
The probability that it will rain both days is [tex]\frac{1}{4}[/tex].
According to the question
Mr. and mrs. smith plan to roof the cabin on 2 consecutive days.
Assuming that the chance of rain is independent of the day
Probability is the chance that some event will happen.
It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.
Probability = Number of ways it can occur/Total number of outcomes
Probability of rain on first day = 1/2
Probability of rain on second day = 1/2
Then
Probability of rain on both days = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 1/4
Hence,
The probability that it will rain both days is [tex]\frac{1}{4}[/tex].
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Determine whether the following series converges conditionally, converges absolutely, or diverges. Be sure to state which test(s) you are using.
Answers
Answer:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Step-by-step explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Explanation:
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Please help !!! Need help !!!
Answers
Answer: B. alternate interior angles.
Step-by-step explanation:
Opposite angles are non-adjacent angles that are formed by two intersecting lines. They are congruent.
A legend says that a tower of hanoi puzzle with 64 discs is being solved, one move per
second. how long will it take to solve this puzzle? explain how you know.
Answers
It will take 585 billion years to solve the puzzle tower of Hanoi puzzle.
What is hanoi of tower?
The Tower of Hanoi is a mathematical game or puzzle that uses three rods and a number of disks that can slide onto any rod. It is also known as The Problem of the Benares Temple, the Tower of Brahma, Lucas' Tower, or simply the pyramid puzzle. The disks are stacked on one rod at the start of the problem, the smallest at the top and roughly forming a conical shape.
Using the Tower of Hanoi as little as possible
In one version of the problem, 64 golden disks are being used by Brahmin priests to solve it.
Minimum moves required if you had 64 golden disks [tex]=2^{64}-1[/tex]
The problem would take around 585 billion years to solve if every move took a single second.
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The figure shown is made up of a cone and a cylinder. The height of the cone is 5 ft and its diameter is 12 ft. The height of the cylinder is 20 ft.
Diagram shows a composite shape formed by placing a cone next to a cylinder that share a common circular base. The diameter of the cone is labeled 12 feet, the height of the cone is labeled 5 feet, and the height of the cylinder is labeled 20 feet.
Find the lateral surface area of the cone and the surface area of the sides and bottom of the cylinder.
The lateral surface area of the cone is about Blank ft2. The surface area of the sides and the bottom of the cylinder is about blank ft2. The total surface area of the figure is about blank ft2.
Options for blank 1
A.260
B.188
C. 147
Options for blank 2
A. 980
B. 867
C. 1,508
Options for blank 3
A. 1,168
B. 1,768
C.1,127
D. 1,014
Answers
The lateral area of a cone is 147ft².
The total surface area of the cylinder is 867ft².
The total surface area is 1014ft²
What is the lateral surface area of a cone?The lateral area of a cone is defined as the area covered by the curved surface of the cone.
Lateral area of a cone = πr x √(r² + h²)
Where:
r = radius = 12/2 = 6ft h = height = 5ftπ = 3.143.14 x 6 x √(36 + 25) = 147ft²
What is the total surface area of the figure ?
Total surface area of the cylinder : πr(r + 2h),
(3.14 x 6) x (6 + 40) = 867ft²
Total surface area = 867 + 147= 1014ft²
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20 points please help
The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 14, 13, 16, 12, 17, 21, 26
Answers
Answer:
3.71
Step-by-step explanation:
The mean absolute deviation(MAD) of a data set is given by the formula
[tex]$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$[/tex]
[tex]n[/tex] = number of data set values. Here [tex]n = 7[/tex]
[tex]\bar{x}=[/tex] mean of the data set values; [tex]\bar{x}=[/tex] [tex](14+13+16+12+17+21+26)/7[/tex] = [tex]119/7=17[/tex]
[tex]x_{i}[/tex] are the n individual values
[tex]\frac{1}{7} |14-17| + |13-17| + |16-17| + |12-17| + |17-17| + |21-17| + |26-17|\\= (3 + 4 + 5 + 1+ 0 + 4 + 9)/7\\= 26/7 = 3.71428 \\[/tex]
= [tex]3.71 \textrm{ rounded to the nearest hundredth}[/tex] Answer
Solve the compound inequality. 5x – 11 < –11 or 4x + 2 > 14
Answers
Answer:
5x-11<-11
group like terms
5x<11+11
5x<22
divide both sides by 5
13. The average of 15, 19, 23, 41, and x is 20. What is the value of x? (A) 2 (B) 20 (C) 23.6 (D) 31
Answers
Answer:
A
Step-by-step explanation:
(x + 15 + 19 + 23 + 41) / 5 = 20
x + 15 + 19 + 23 + 41 = 100
x + 98 = 100
x = 2
Answer: it’s 2 (A)
Step-by-step explanation:
20 * 5 = 100
15 + 19 + 23 + 41 = 98
100-98=2
When strawberry prices increase 20 percent, the quantity demanded of whipped cream falls 10 percent. what is the cross-price elasticity of demand between strawberries and whipped cream?
Answers
The cross-price elasticity of demand between strawberries and whipped cream is (C) -0.5.
What is the cross-price elasticity of demand?The cross elasticity of demand, also known as the cross-price elasticity of demand, is a measure in economics that compares the percentage change in the quantity desired for one commodity to the percentage change in the price of another good, everything else being equal. In practice, the amount desired of a thing is affected not only by its own price (price elasticity of demand) but also by the prices of other "related" products.As an example, when strawberry prices rise by 20%, demand for whipped cream falls by 10%. The cross-price elasticity of demand between strawberries and whipped cream is -0.5.Therefore, the cross-price elasticity of demand between strawberries and whipped cream is (C) -0.5.
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The complete question is given below:
When strawberry prices increase by 20 percent, the quantity demanded of whipped cream falls by 10 percent. What is the cross-price elasticity of demand between strawberries and whipped cream?
a. -2
b. 2
c. -0.5
d. 0.5
PLEASE HELP AS SOON AS POSSIBLE!!
After Sally completed her report she wanted to number the pages. She typed exactly 9 eights to number all the gapes in her report. How many pages were there in Sally's report?
Answers
Answer:
80
Step-by-step explanation:
The 9 eights would be
8, 18, 28, 38, 48, 58, 68, 78, 80
3² +4² = 5²,
6² + 8² = 10² and
9² + 12² = 15²
Can you prove,using algebraic method,that this relationship will be true for any multiple of the triple,
3, 4, 5?
Prove that the statement
5² +12² =13² will hold true for any multiple of this triple.
Answers
Answer:
They are all true
Step-by-step explanation:
1. 3² +4² = 5²
3x3 + 4x4 = 5x5
9 + 16 = 25
25 = 25
-----------------------
2. 6² + 8² = 10²
36 + 64 = 100
100 = 100
------------------
3. 9² + 12² = 15²
81 + 144 = 225
225 = 225
-------------------
4. 5² +12² =13²
25 + 144 = 169
169 =169
-------------------
What is the equation of the line that passes through the point (-6,2) and has a slope of 1?
Answers
Answer:
[tex]y = x + 8[/tex]
Step-by-step explanation:
The equation of a line is:
[tex]y = mx + c[/tex]
Where m is the gradient (or as you call it, the slope), and c is the y-intercept. We already know what the slope is, therefore we need to find the y-intercept. You have been given the coordinates (-6, 2), but to find the y-intercept, X must be equal to 0. Since the gradient is 1, we know that for every value we add to X, we must add the same to y. To get from -6 to 0, we must add 6, so we must do the same 2, leaving our y-intercept coordinates as (0, 8), and our y-intercept as 8. Plugging in our values, we are left with the following equation:
[tex]y = x + 8[/tex]
300 high school students were asked how many hours of TV they watch
per day. The mean was 2 hours, with a standard deviation of 0.5. Using a
90% confidence level, calculate the maximum error of estimate.
Answers
Using the z-distribution, it is found that the maximum error of the estimate is of 0.0475 hours.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
For this problem, the values of the parameters are given as follows:
[tex]\sigma = 0.5, n = 300[/tex]
We have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
Thus the maximum error of the estimate in hours is found as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.645\frac{0.5}{\sqrt{300}}[/tex]
M = 0.0475 hours
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Answer:
4.75%
Step-by-step explanation:
Given: μ=z σ=0.5 ∩=300 CL=90%
Maximum error [tex]=Za/2*\frac{6}{\sqrt{n} } \\[/tex]
[tex]=1.645*\frac{0.5}{\sqrt{300} } \\=0.0475\\[/tex]
= 4.75%
What is the greatest possible error if bruce measured a buckle as 3.2 cm using the ruler? what is the greatest possible error? 0.5 0.05 0.005 0.0005
Answers
Answer:
I believe it's 5.0
Step-by-step explanation:
I believe so if its not I'm sorry
The side length of each square is 6 units.
Answers
The area of the square A2 is 20 squared units
How to determine the area of A2?The complete question requires that we calculate the area of square A2
The side length of each square is 6 units.
So, the side length (L) of A2 is
L^2 = (2)^2 + (6 - 2)^2
This gives
L^2 = 20
The above represents the area of the square A2
Hence, the area of the square A2 is 20 squared units
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Answer:
Triangle Area = 4 units^2Step-by-step explanation:
assuming you are looking for the area of the triangles, there is no specific question, they are right-angled triangles congruent with the catheti of 2 and 4 units.
Triangle area = 1/2 base x height.
so 1/2 2 * 4 = 4 units^2
If a hypothesis test is found to have power = 0. 80, which is the probability that the test will result in a type ii error?
Answers
The probability that the hypothesis test will result in a type ii error, β is 0.20.
In this question,
A type II error is one of two types of statistical errors that can result from a hypothesis test (the other being a type I error). A type II error will occur if the statistical test is not powerful enough. And it occurs when one rejects the alternative hypothesis (fails to reject the null hypothesis) when the alternative hypothesis is true.
The probability of a type II error is denoted by *beta*, β.
Power of a test = 0.80
The relation between power of a test and type II error is given as,
Power = 1 - type II error
⇒ Type II error, β = 1 - 0.80
⇒ Type II error, β = 0.20
Hence we can conclude that the probability that the hypothesis test will result in a type ii error, β is 0.20.
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Choose the definition for the function.
(-x+ 2 x < 1
x ≥ 1
a. y = x + 1
(-x+ 2
x + 1
b.y = {-x+ 2 x≤1
1
x >
c. y = {-x-
C.
x≤ 1 d. y = { x + 1
(-x+ 2
x > 1
x ≤ 1
x ≥ 1
x < 1
Enter
Answers
Answer:
A
Step-by-step explanation:
The answer is negative so that eliminates one
and the greater sign is opposite of b so that makes the answer A!
Determine the number of different groups of 5 items that can be selected from 12 distinct items.
Answers
There are total 95040 number of different groups of 5 items can be selected from 12 distinct item.
According to the given question.
Total number of items, n = 12
Total numbers of items to be selected, r = 5
Since, we have to determine the number of different groups of 5 items that can be selected from 12 distinct items. So, we will find the number of different groups by permulation formula i.e.
[tex]^{n} P_{r} = \frac{n!}{(n-r)!}[/tex]
Where,
[tex]^{n} P_{r}[/tex] is the total number of permutations.
n is the total number of objects.
r is teh total number of objects to be selected.
Therefore,
The number of different groups or permutaions of 5 items that can be selected from 12 distinct group
[tex]^{12} P_{5}[/tex]
[tex]= \frac{12!}{(12-5)!}[/tex]
[tex]= \frac{12!}{7!}[/tex]
[tex]= \frac{12\times11\times10\times9\times8\times7!}{7!}[/tex]
= 12 × 11 × 10 × 9 × 8
= 95040
Hence, there are total 95040 number of different groups of 5 items can be selected from 12 distinct item.
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what is the decimal representation of 3/40
Answers
Answer:
0.075
Step-by-step explanation:
to convert a fraction to a decimal fraction
divide the numerator by the denominator, that is
[tex]\frac{3}{40}[/tex] = 3 ÷ 40 = 0.075
Choose the division problem represented by this model.
Answers
Answer:
The answer is C
Step-by-step explanation: