The area of the given figure is 100 cm².
In the above figure, we calculate total area by dividing the figure into two sub figures wherein we get a square portion of side 5 cm and a rectangular portion of length 15cm and breadth 5 cm. The area of the square and rectangle can be given as product of their two sides that is length multiplied by breadth.
Area of square portion = 5*5 = 25 square centimeter
Area of rectangular portion =15*5 = 75 square centimeter
Hence total area of the figure = Area of square portion + Area of rectangular portion.
Therefore, Total area of figure = 25 + 75 = 100 cm².
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What is the slope of the line that passes through
the points (-9,6) and (-10, -9)?
The slope of the line is 15
What is a slope?
The slope of a line is how steep it is going from LEFT to RIGHT. Slope is the proportion of a line's ascent, or vertical change, to its run, or horizontal change. No matter which two spots you choose for the line's starting and ending points, the slope is always constant (it never changes).
The slope is calculated as the ratio of the rise, which is the vertical change between two points, to the run, which is the horizontal change between those same two sites.
If a line y = mx + c passes through A(x1 , y1) and B(x2,y2) then slope m is given by
\(m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}}\)
m = (-9-6)/(-10+9)
= -15/ -1
= 15
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When y is 4, p is 0. 5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?
x p m y = 8
StartFraction x y Over p m EndFraction = 8
StartFraction x p m Over y EndFraction = 0. 5
StartFraction x Over p m y EndFraction = 0. 5
Answer:
\(\dfrac{xy}{pm}=8\)
Step-by-step explanation:
If x varies directly as the product of p and m, and inversely with y, the relation can be written ...
x = k(pm)/y . . . . where k is the constant of proportionality
__
This can be solved for k:
k = xy/pm
For the given values, the value of k is ...
k = (2)(4)/((0.5)(2)) = 8
Then the relation between the variables can be written ...
(xy)/(pm) = 8
Answer:
B
Step-by-step explanation:
The rectangle below was enlarged using a scale factor.
What is the area of the original rectangle
Answer:
8
Step-by-step explanation:
do 8÷1.6 that gives you 5
so then to get your bottom length do 5×5=25
so then do 1.6×5 and that gives you 8
Write 44 as a product of primes.
Use index notation when giving your answer.
Answer:
44 = 2 x 22, 2 is prime.
22 = 2 x 11, 2 and 11 are prime.
So, writing 44 as a product of primes is: 2 x 2 x 11, or 2^2 x 11.
Let me know if this helps!
A company is designing a new cylindrical water bottle. The volume of the bottle will be 230 cm cubed 3. The height of the water bottle is 7.3 cm. What is the radius of the water bottle? Use 3.14 for π.
Answer:
Step-by-step explanation:
I don't say you have to mark my ans as brainliest but if it has really helped you plz don't forget to thank me...
I need help! I can’t do this on my own I need the steps to the answer
The frequency table that would show the data on the Record High temperatures in the state is:
Temperature Range (°F) Frequency
100 - 104 2
105 - 109 7
110 - 114 12
115 - 119 12
120 - 124 5
125 - 129 1
How to design the frequency table ?To create a frequency table, first identify the range of temperatures, which is from 100 to 134 degrees Fahrenheit. Then, choose intervals of 5 degrees and counted how many temperatures fell within each interval. For example, there were 3 temperatures between 100-104, 6 between 105-109, and so on.
To construct a histogram, we can use the temperature ranges on the x-axis and the frequency on the y-axis. Each bar will represent the number of states that had a record high temperature within that range.
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Jerry writes down all the odd numbers $1, 3, 5, 7, \dots,$ up to $999$. How many numbers does he write down
Odd numbers are integers that are not divisible by 2. In other words, when an integer is divided by 2, an odd number will have a remainder of 1. Odd numbers are always one unit away from the nearest even number.
To determine the number of odd numbers Jerry writes down, we need to find the count of odd numbers from 1 to 999.
The sequence of odd numbers starts with 1 and increments by 2. So we can divide 999 by 2 to find how many times we can increment by 2 to reach a number less than or equal to 999.
999 divided by 2 is 499 remainder 1. This means we can increment 2, starting from 1, a total of 499 times to reach 999. However, since we need to include the first odd number, we add 1 to the count.
Therefore, Jerry writes down a total of 499 + 1 = 500 odd numbers from 1 to 999.
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Jerry writes down 499 numbers.
Jerry is writing down all the odd numbers from 1 to 999. To determine how many numbers he writes down, we need to find the number of odd numbers in that range.
We can see that the odd numbers follow a pattern: 1, 3, 5, 7, and so on. Each odd number is obtained by adding 2 to the previous odd number.
To find the number of odd numbers, we need to find the number of times we can add 2 to 1 to get a number less than or equal to 999.
We can start by subtracting 1 from 999 to get 998. Then, we divide this number by 2 to get the number of times we can add 2 to 1.
998 divided by 2 equals 499, which means Jerry writes down 499 odd numbers.
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Four friends went to dinner. They each ordered a meal and decided to split the final bill evenly between them. They left a tip of $12. The final cost of the meal and tip was $74.00. what was the price each person paid for their meal before tip?
AGAIN BE SERIOUS THIS IS DUE TOMORROW
Please solve help plz plz plz
Answer: it is an octagonal prism
Answer:
It's a hexagonal prism
A triangle has area 100 square inches. It's dilated by a factor of k = 0.25.
1) The statement of Lin is correct.
2) (a) When scale factor, k = 9, area of the new triangle = 8100 square inches
(b) When k = 3/4, area of the new triangle = 56.25 square inches.
Given that,
A triangle has area 100 square inches.
It's dilated by a factor of k = 0.25.
When the triangle is dilated by a scale factor of k, then, each of the base and height is dilated by the scale factor of k.
So new area of the triangle after the dilation with the original triangle having base = b and height = h is,
Area of new triangle = 1/2 (kb)(kh) = k² (1/2 bh) = k² × Area of original triangle
Here original area = 100 square inches.
k = 0.25
New area = (0.25)² 100 = 6.25 square inches
So the correct statement is that of Lin.
Mai may found the new area by just multiplying the scale factor with 100, instead of taking the square of the scale factor. That is why she got 25 square inches as the new area.
2) (a) When k = 9,
Area of the new triangle = 9² (100) = 8100 square inches
(b) When k = 3/4
Area of the new triangle = (3/4)² (100) = 56.25 square inches
Hence the areas are found.
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Select a piece of information you can get by looking up a word in the dictionary.
A word that means the opposite
Similar meaning words
The part of speech
Translation into a language
Answer: Analogy
Step-by-step explanation: (Sorry if it is not right) :(
Answer:
Step-by-step explanation:
The part of speech
help (fraction) problem :(
Answer:
it's 8 4/6 because you have to make the denominator all 6 so you would have to mutiply the bottom and do the same for the top keep the whole number the same and then add it all up you'll get 8 4/6
3 1/6 that is your answer you're welcome.2 1/3=[(2*3)+1]/3=7/3
7/3+5/6=(7*2)/(3*2) + 5/6=(14+5)/6=19/6.You simplify and you get 3 1/6
What effect does decreasing the sample size have on a distribution of sample means? a) It will have more variation b) It will not make any difference cIt will have less variation
c) It will have less variation.
Decreasing the sample size will generally result in more variation in the distribution of sample means. This is because with a smaller sample size, there is less information available to estimate the population mean, which means that the sample mean will be less precise and will vary more from one sample to the next.
For example, if you take a sample of 10 individuals from a population and calculate the mean of their heights, the sample mean will likely be a good estimate of the population mean height. However, if you take a sample of just 2 individuals and calculate the mean of their heights, the sample mean will be less precise and will be a less reliable estimate of the population mean height. This is because the sample of 2 individuals may not be representative of the overall population, and the sample mean will be more influenced by extreme values or outliers.
In general, as the sample size decreases, the distribution of sample means will become more spread out and will have more variation. This is because with a smaller sample size, there is more uncertainty about the population mean, and the sample means will be more likely to deviate from the true population mean.
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in an instant lottery, your chances of winning are 0.2. if you play the lottery five times and outcomes are independent, the probability that you win at most once is a. 0.0819. b. 0.2. c. 0.4096. d. 0.7373.
The probability that you win at most once in the instant lottery when playing five times is approximately 0.4096.
To calculate the probability of winning at most once in the instant lottery when playing five times, we need to consider the different possibilities: winning zero times and winning once.
The probability of winning zero times (not winning) in one play is (1 - 0.2) = 0.8.
Since the outcomes are independent, the probability of winning zero times in five plays is (0.8)^5 = 0.32768.
The probability of winning once is given by the formula:
Probability of winning once = (number of ways to win once) * (probability of winning) * (probability of not winning the other times)
In this case, there is only one way to win once out of five plays, and the probability of winning is 0.2.
The probability of not winning the other four times is (1 - 0.2)^4 = 0.4096.
Therefore, the probability of winning once is 1 * 0.2 * 0.4096 = 0.08192.
To find the probability of winning at most once, we need to sum the probabilities of winning zero times and winning once:
Probability of winning at most once = Probability of winning zero times + Probability of winning once
= 0.32768 + 0.08192
= 0.4096
Therefore, the probability that you win at most once in the instant lottery when playing five times is approximately 0.4096.
The correct answer is option c: 0.4096.
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Pls help with #14 and #15!!!Asap 15 points
Answer:
14. -g + 10, 15. 12k + 3
Step-by-step explanation:
I'm assuming you want to simplify the equation. For 14, we distribute -2. This gets us -2g + 10 + g. We can simplify that to -g + 10. We can't simplify that, so our answer is complete. For 15, we combine 8k and 4k to get 12k + 3. That can't be simplified, so we are done.
at the Neighborhood Grocery 4 lb of chicken thighs cost $31.80 Ruby spend $20.85 on chicken thighs how many pounds of chicken thighs does she buy to the nearest hundredth of a pound
Camilla entered the following group of values into the TVM Solver of her
graphing calculator. N = 24,1% = 1.2, PV = PMT = -480; FV = 0P/Y = 12; C/Y
= 12, PMT-END. Which of these problems could she be trying to solve?
O A. A person can afford a $480-per-month loan payment. If she is
being offered a 24-year loan with an APR of 1.2%, compounded
monthly, what is the most money that she can borrow?
O B. A person can afford a $480-per-month loan payment. If she is
being offered a 24-year loan with an APR of 14.4%, compounded
monthly, what is the most money that she can borrow?
O C. A person can afford a $480-per-month loan payment. If she is
being offered a 2-year loan with an APR of 14.4%, compounded
monthly, what is the most money that she can borrow?
D. A person can afford a $480-per-month loan payment. If she is
being offered a 2-year loan with an APR of 1.2%, compounded
monthly, what is the most money that she can borrow?
The problem that Camilla could she be trying to solve is D. a person can afford a $480-per-month loan payment.
What is a loan?It should be noted that a loan simply means an amount of money that's taken for future repayment.
In this case, the information given shows that the problem will be that the person can afford a $480-per-month loan payment and she is being offered a 2-year loan with an APR of 1.2%, compounded monthly.
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What is the value of the following expression?
(−81)(−9)
Answer:
(−81)(−9) = 729
Step-by-step explanation:
Multiply -81 by -9 and you get 729
Answer:
729
Step-by-step explanation:
The expression (−81)(−9) will give the value of 729. Step-by-step explanation: The given expression is (−81)(−9) .
Use synthetic division to find the result when 4x^3+14x^2+13x+11 is divided by x+2. If there is a remainder, express the result in the form q(x) + r(x)/b(x).
The division of 4x³ + 14x² + 13x + 11 by x + 2 will have a quotient of 4x² + 14x + 1 and a remainder of 8 using synthetic division and can be expressed as (4x² + 14x + 1) + 9/(x + 2).
Dividing with synthetic divisionThe procedure for synthetic division involves the following steps:
Divide.
Multiply.
Subtract.
Bring down the next term, and
Repeat the process to get zero or arrive at a remainder.
We shall divide 4x³ + 14x² + 13x + 11 by x + 2 as follows;
4x³ divided by x equals 4x²
x + 2 multiplied by 4x² equals 4x³ + 8x²
subtract 4x³ + 8x² from 4x³ + 14x² + 13x + 11 will give us 6x² + 13x + 11
6x² divided by x equals 6x
x + 2 multiplied by 6x equals 6x² + 12x
subtract 6x² + 12x from 6x² + 13x + 11 will give us x + 11
x divided by x equals 1
x + 2 multiplied by 1 equals x + 2
subtract x + 2 from x + 11 will give result to a remainder of 9.
Therefore by synthetic division, 4x³ + 14x² + 13x + 11 by x + 2 will result to a quotient of 4x² + 14x + 1 and a remainder of 9.
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Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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In a laboratory, they were testing a certain bacteria. They stated with 50 bacteria and they noticed it triples every 30 minutes. Write an equation to represent the situation. How many will exist after 2 hour?
The object below is made of seven rectangular prisms, each with dimensions of 4 centimeters (cm) by 2 centimeters by 6 centimeters. What is the volume, in cubic centimeters, of the composite solid?
432 cm.3
16,464 cm.3
336 cm.3
48 cm.3
Answer:
it is A 432 cm.3
Step-by-step explanation:
Identify the area of the figure rounded to the nearest tenth
Answer:
118.7 inches squared.
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The expression for solving the area of a circle is A = π × \(r^{2}\).
To solve for the semicircle above, we can divide the diameter into 2 to get the radius.
12 ÷ 2 = 6So, the radius of the upper semicircle is 6 inches.
If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.
A = π × \(6^{2}\)This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.
To solve for the lower semicircle, we can do the same this as we did above.
A = π × \(r^{2}\)But wait, we don't know the radius or diameter!
No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.
To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.
6 ÷ 2 = 3So, the radius of the circle is 3.
Now we can insert 3 into the expression.
A = π × \(3^{2}\)This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.
Adding the two semicircles together:
18π + 4.5π = 22.5π22.5 × π ≈ 70.6858So, the area of both semicircles is approximately 70.6858 square inches.
To solve for the area of a rectangle we use the expression:
A = length × widthInserting the dimensions of the rectangle:
8 × 6 = 48So, the area of the rectangle is 48 square inches.
Adding the two areas together:
70.6858 + 48 = 118.6858 ≈ 118.7Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).
Evaluate 0.5^3 and 0.5^-3 as fraction
Answer:
Step-by-step explanation:
0.5^3 = 0.5*0.5*0.5
= 0.125
= 125/1000
= 1/8.
0.5^-3
= 1 / 0.5^3
= 1 / 1/8
= 8.
If a system of n linear equations in n unknowns has infinitely many solutions, then the rank of the matrix of coefficients is n − 1.
True or False
The statement "If a system of n linear equations in n unknowns has infinitely many solutions, then the rank of the matrix of coefficients is n − 1" is False.
In a system of linear equations, the rank of the matrix of coefficients can be determined by performing row operations to bring the matrix to row-echelon form or reduced row-echelon form. The number of non-zero rows in the row-echelon form or reduced row-echelon form corresponds to the rank of the matrix.
If a system has infinitely many solutions, it means that there are fewer equations than unknowns or there is a linear dependency among the equations. In such cases, the rank of the matrix of coefficients will be less than n, contradicting the statement that the rank is n − 1.
Therefore, the statement "If a system of n linear equations in n unknowns has infinitely many solutions, then the rank of the matrix of coefficients is n − 1" is False.
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y-3x=2 x-2y=9 simultaneous equations
Answer:
(- 2.6, - 5.8 )
Step-by-step explanation:
y - 3x = 2 ( add 3x to both sides )
y = 3x + 2 → (1)
x - 2y = 9 → (2)
substitute y = 3x + 2 into (2)
x - 2(3x + 2) = 9
x - 6x - 4 = 9
- 5x - 4 = 9 ( add 4 to both sides )
- 5x = 13 ( divide both sides by - 5 )
x = - 2.6
substitute x = - 2.6 into (1)
y = 3(- 2.6) + 2 = - 7.8 + 2 = - 5.8
solution is (- 2.6, - 5.8 )
Step-by-step explanation:
y-3x=2... (1)
x-2y=9...(2)
1)Use the elimination method to get rid of one of the variables
(-3x+y=2) ×2
x-2y=9
________
-6x+2y=4
x-2y=9
________
-5x =13
2)find value of X
-5x=13
x=-13/5
x=-2.6
3)sub x into (1) or (2) to find y
y-3x=2
y=2+3x
y=2+3(-2.6)
y=2-7.8
y=-5.8
So answer is :
X= - 2.6
Y= - 5.8
James is making a math final for his students. He already has 22 questions, and can make 12 more for every hour. Which is an equation that represents how many questions (q) he has for every hour (h)?
a.q(h) = 12h
b.q(h) = 22h + 12
c. q(h) = 12h + 22
d.q(h) = 12h-22
Gingy started out with 40 gumdrop buttons. Every time
he did not answer Lord Farquard's questions correctly,
gumdrop buttons are taken away from his starting
value. If he did not answer 10 questions correctly and
20 gumdrop buttons were deducted in total, how many
gumdrops did Lord Farquad take for each incorrect
question?
What is the difference between a discrete
probability distribution and a continuous
probability distribution?
Give your own example of each. What is the
expected value, and what does it measure?
How is it computed for a discrete probability
distribution?
A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.
An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.
On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.
The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.
For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.
For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.
Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.
A commercial airplane broke a record when it traveled 5,540 kilometers from new york to london in 5 hours because of a strong jet stream. on the same day, a different airplane traveled 2,964 kilometers from denver to hartford in 3 hours. part a: how much further, in kilometers, did the plane from new york to london fly in one hour compared to the plane from denver to hartford?
The plane from new york to london fly 515.2 km per hour compared to the plane from denver to hartford .
What is Ratio ?Ratio is when a number is divided by any other number and written in the form p:q.
It is given in the question that
A commercial airplane broke a record when it traveled 5,540 kilometers from new york to london in 5 hours .
a different airplane traveled 2,964 kilometers from denver to hartford in 3 hours.
The airplane travelled 5,540 kilometers in 5 hours
In 1 hour , the commercial airplane covered 5540/5 = 1108 km.
In 1 hour , the other airplane covered 2964/5 = 592.8 km
Therefore the plane from new york to london fly 1108- 592.8 = 515.2 km per hour compared to the plane from denver to hartford .
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