Answer:
if the temperature decreases by x degrees per day for y days
Step-by-step explanation:
A rational number is a number of the form \(\frac{p}{q}\,,q\neq 0\) such that p and q are integers.
Consider a situation: if the temperature decreases by x degrees per day for y days
Temperature decreases by \(x\) degrees is denoed by \(-x\).
Therefore,
Total decrease in temperature in \(y\) days is denoted by \(-xy\).
So, this situation could be solved using the product of \(xy\), where \(xy\) represents a negative value
Solve the following inequality.
2P-3>P+6
A number is double of another. If the difference of them is 20,Find the Numbers.
Answer:
20 and 40
Step-by-step explanation:
20 + 20 is 40, and 40 - 20 is 20. There is a 20 difference, and 40 is double 20. Therefore, the answers is 20 and 40.
Hope this helps :)
Happy Early Valentine's Day!
Brainliest, Please!
If you use the addition property of equality , what number would you add to both sides of the equal sign to isolate the variable
Answer:
The answer is "\(\frac{26}{7}\)"
Step-by-step explanation:
The whole question can be found in the file attached.
\(\to x + \frac{5}{7} = \frac{31}{7}\\\\\)
Subtracting the \(\frac{5}{7}\) from both sides of the equations:
\(\to x +\frac{5}{7} - \frac{5}{7} = \frac{31}{7} - \frac{5}{7} \\\\\)
\(= \frac{31-5}{7} \\\\= \frac{26}{7} \\\\\)
Express 120 as the product of its prime factors.
Write the prime factors in ascending order.
Answer:
120 = 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24, 6 x 20, 8 x 15, or 10 x 12. Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Prime factorization: 120 = 2 x 2 x 2 x 3 x 5, which can also be written 120 = 2³ x 3 x 5.
Step-by-step explanation:
Suppose that two teams are playing a series of games, each of whichis independently won by team A with probability p and by team Bwith probability (1-p). The winner of the series is the first teamto win 4 games. Find the expected number of games that are played,and evaluate this quantity when p=1/2.
The probability of expected number of games played is given by (1/(1-p))/p, and when p=1/2, the expected number of games played is 2.
Suppose two teams, A and B, are playing a series of games, and the probability of team A winning a single game is given by p. The probability of team B winning a single game is then (1-p). The goal is to determine the expected number of games that are played until one team wins 4 games, which means they win the series.
To calculate this, we can think of each game as a Bernoulli trial, with a success defined as a win for team A.
The number of games played can be modeled by a geometric distribution, where the expected number of trials until the first success (winning 4 games) is given by 1/p. In this case, we can think of each game as a trial until a success (winning 4 games), and the expected number of trials until the first success is 1/p.
Now, we can calculate the expected number of games played by multiplying the expected number of trials until the first success by the average number of failures before the first success. The average number of failures before the first success is given by 1/(1-p), so the expected number of games played is (1/(1-p))/p.
Finally, if p=1/2, then the expected number of games played is 2. This makes sense, as in a fair game, both teams have an equal chance of winning, and it would be expected to take an average of 2 games to determine a winner of the series.
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Determine whether the following equence i an arithmetic or geometric progreion. Give a reaon for your anwer. 100p,50p,25p,
Answer:
Geometric.
Step-by-step explanation:
It is Geometric because there is a common ratio between the terms.
50p/100p = 1/2
25p/50p = 1/2
The common ratio is 1/2.
Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.
A car travels 4.5 miles in 5 minutes. Workout the average speed in miles per hour
Answer:
0.9
Step-by-step explanation:
What is -0.5 times -y?
Answer:
0.5y
Step-by-step explanation:
the answer is 0.5y
Answer:
0.5y
Step-by-step explanation:
when you multiply a negative by a negative it becomes a positive, therefore -0.5 x -y = 0.5y
Find the value of c x 8 when c=9.
Answer:
72 hope it helps............
Answer:
72
is you answer because 8×9=72
What is 1/4 in feet?
Answer:
0.25 feet
7.62 centimeters
3 inches
Step-by-step explanation:
Not really a clear question-
This question is worth 15 points.
A bedding set that regularly sells for $86
is on sale with a 20% discount. How
much will the total sale be including a 5%
sales tax?
The total sale of the bedding set including 5% sale tax is $69.66
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Discount = 20% of 86 = 0.2 * 86 = 17.2
Selling price of bed = 5% of 17.2 = 0.05 * 17.2 = 0.86
Total sale = 86 - 17.2 + 0.86 = 69.66
The total sale of the bedding set including 5% sale tax is $69.66
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Solve 21.85 x (-6.2)
Answer:
= −135.47x
Step-by-step explanation:
^^^^^^^^^^^^^^^
Find the mid point of the line segment with the given endpoints (-9,3) (-2,-8)
what is the value of x when the richter scale rating is 5.5
Answer:
5.5
Step-by-step explanation:
divide both sides
In a class of 25 students, 4 are math majors, 6 are computer science majors, and the rest are creepy wizards. A group of four students are chosen at random. a. What is the probability that no creepy wizards are chosen? b. What is the probability that the group has exactly one math major, two computer science majors and one creepy wizard?
The probability that the group has exactly one math major, two computer science majors, and one creepy wizard is 900/12,650.
a. The probability that no creepy wizards are chosen can be found by dividing the number of ways to choose four students without any creepy wizards by the total number of possible groups of four students.
The number of ways to choose four students without any creepy wizards is the number of ways to choose 4 students from the 10 math and computer science majors.
This is given by the combination (4 choose 4) times (6 choose 0) which simplifies to 1. The total number of possible groups of four students is the combination of 25 students taken 4 at a time, which is (25 choose 4) = 12,650. Therefore, the probability that no creepy wizards are chosen is 1/12,650.
b. The probability that the group has exactly one math major, two computer science majors and one creepy wizard can be found by dividing the number of ways to choose one math major, two computer science majors, and one creepy wizard by the total number of possible groups of four students. The number of ways to choose one math major from the 4 math majors is (4 choose 1) = 4.
The number of ways to choose two computer science majors from the 6 computer science majors is (6 choose 2) = 15. The number of ways to choose one creepy wizard from the 15 creepy wizards is (15 choose 1) = 15.
Therefore, the total number of ways to choose one math major, two computer science majors, and one creepy wizard is 4 x 15 x 15 = 900. The total number of possible groups of four students is the same as in part (a), which is (25 choose 4) = 12,650.
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simon will deposit $250 into two savings accounts. account 1 earns 1.6% interest compounded annually. account 2 earns 1.6% simple annual interest. if simon makes no additional deposit or withdrawals, which account is closest to the difference in the interest that the account will have earned at the end of 10 years. A. $253.01 B.$43.01 C.$83.01 D.$3.01
The difference in the interest that the account will have earned at the end of 10 years is of:
D. $3.01.
What is the account 1 interest earned?The amount of interest earned, in compound interest, after t years, is given by:
\(I(t) = P\left(1 + \frac{r}{n}\right)^{nt} - P\)
In which the variables are listed as follows:
P is the principal.r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.In the context of this problem, these parameters are given as follows:
P = 250, r = 0.016, n = 12, t = 10.
Hence the interest earned by account 1 is:
\(I(10) = 250\left(1 + \frac{0.016}{12}\right)^{12 \times 10} - 250 = 43.35\)
What is the account 2 interest earned?For simple interest, the amount of interest earned is:
I(t) = Prt.
Hence:
I(10) = 250 x 0.016 x 10 = 40.
Hence the difference is:
43.35 - 40 = $3.35.
Which is closest to option D.
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Definition of probability distribution
Answer: probability distribution is a function of a discrete variable whose integral over any interval is the probability that the random variable specified by it will lie within that interval.
Sylvia invested $500 in an account compounded annually with an interest rate of 8%. manuel invested $600 in an account with a compound interest rate of 7.25%. using the rule of 72, startfraction 72 over t endfraction, who will double their money first?
a. sylvia will double her money first, in approximately 9 years.
b. manuel will double his money first, in approximately 10 years.
c. manuel will double his money first, in approximately 9 years.
d. sylvia will double her money first, in approximately 10 years.
Using the rule of 72, startfraction 72 over t endfraction, Manuel will double his money first, in approximately 9 years. Option C is the answer.
The rule of 72The rule of 72 is a quick and simple way to estimate the number of years it takes for an investment to double given the
interest rate. It is calculated by dividing 72 by the interest rate.
For example, if an investment has an interest rate of 8%, it will take approximately 72 / 8 = 9 years to double the investment.
Applying this rule, we can estimate the time it will take for Sylvia's investment to double: 72 / 8 = 9 years.
And for Manuel's investment to double: 72 / 7.25 = 10 years.
Since Manuel's investment will double in approximately 9 years, he will double his money first.
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A shirt cost $21 last month. This month the price decreased by 30%. What is the new price?
ASAP HELP
Answer:
Step-by-step explanation:
21x.30=6.3
21-6.3= 14.7
If shirt cost $21 last month and the price decreased by 30% then the new price is $14.7.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that a shirt cost is $21 last month.
The price decreased by 30% in this month.
We have to find the new price.
To find this we have to find 30 percentage of 21.
Convert 30 % to decimal value by dividing with 100 and then multiply the decimal value with $21.
30/100× 21
0.3×21
$6.3
So the amount decreased is $6.3
The new price we get by subtraction $6.3 from $21.
21-6.3
New price = $14.7
Hence, if shirt cost $21 last month and the price decreased by 30% then the new price is $14.7.
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Draw four different triangles(drawings don't need to be shown) with side a=2cm and side b=5cm (you decide the length of side c). Look at the triangles you created. What do you notice about the different lengths of line c? Write an inequality that shows the possible lengths for line c (the triangle inequality theorem will help you):
Step-by-step explanation:
Triangle 1: c = 7 cm
Triangle 2: c = 4 cm
Triangle 3: c = 3 cm
Triangle 4: c = 6 cm
The lengths of line c vary and can be any value greater than 0 and less than (a + b) = (2 + 5) = 7 cm. Therefore, the inequality that shows the possible lengths for line c is 0 < c < 7.
An object 60m long is drawn using a scale of 1cm to 10m. What is the length on drawing?
Using strategy 1 (in your head), divide 60m by 10m to get 6, then multiply that number by one to get 6cm. the length on drawing is 6cm
Procedure 2 (proportions)
Create a proportion first.
We know that 1 cm equals 10 metres, so we place them on a fraction (the operation is unaffected by the denominator or numerator). However, we don't know how many cm equal 10m, so we make that into a variable, in this case x.
1cm x cm
——— ———
100m 60m
Go diagonally to where the variables have already been put in to solve a proportion. You are unable to calculate 60 metres and x centimetres because you are unsure of x. Yet you can travel 60m. Start by multiplying 1 by 30 to reach the number 60. The result of multiplying 60 by 10m is x. This will equal 6.
Thus, your response is 6.
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Lauren has an above-ground pool. to keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. when the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? use π = 3.14
1885.5 m^3 of water will fill the container.
To find how many cubic feet of water will it contain:
Given -
Lauren has an above-ground swimming pool. The water level in the pool must be 4 inches above the pool's surface in order for the skimmer to function properly. π = 3.14The pool comprises a 12-foot-radius cylinder with a height of 4.5 feet.
Height of pool = 4.5 ftRadius of pool = 12 ftThe height of the water is 4 inches below the pool top12 inches make 1 ft4 inches = 4/12 ft = 0.33 ftTherefore, height of water = 4.5 - 0.33 = 4.17 ftThe volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed.
The volume of the cylinder formed by the water = volume of water = \(\pi r^{2} h\)volume = 3.14 x \(12^{2}\) x 4.17 = 1885.5 m^3 of waterTherefore, 1885.5 m^3 of water will fill the container.
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The complete question is given below:
Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14
A cylinder with a radius of 12 feet and a height of 4.5 feet.
Suppose set s1 is [1, 2, 5] and set s2 is [2, 3, 6]. After s1.addAll(s2), s1 is __________.
After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].
After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].
To determine the value of s1, the following steps has to be taken:
1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].
2. Apply the addAll operation with set s2: [2, 3, 6]
3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).
4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].
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Solve the formula y = mx b for m. a. (y minus b) x c. startfraction y minus b over x endfraction b. y minus b minus x d. startfraction y over x endfraction minus b
The given equation of the formula, y = mx + b, on solving for m by isolating it gives, m = (y - b)/x, making option C the right choice.
In the question, we are given the formula y = mx + b and are asked to solve the given formula for m.
To solve the equation for m, we need to isolate m to one side of the equation, and all other variables to the other side. This can be done as follows:
The given equation is:
y = mx + b.
Changing the sides of the equation gives us:
mx + b = y.
Subtracting b from both sides of the equation gives us:
mx + b - b = y - b,
or, mx = y - b {Simplifying}.
Dividing both sides of the equation by x gives us:
mx/x = (y - b)/x,
or, m = (y - b)/x {Simplifying}.
Thus, we have now isolated m to one side of the equation.
Thus, the given equation of the formula, y = mx + b, on solving for m by isolating it gives, m = (y - b)/x, making option C the right choice.
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Can someone please help
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake
Answer:
The answer is below
Step-by-step explanation:
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake, . Which equation could be used to find the intensity of an earthquake with a Richter scale magnitude of 4.8 in reference to an earthquake with an intensity of 1?
Solution:
The Richter magnitude scale was developed in 1935 by Charles F. Richter. The Richter scale is used to measure the strength of earthquakes.
The magnitude of an earthquake (M) using a Richter scale is given by:
\(M=log(\frac{I}{I_o} )\\\\Where\ I\ is\ the\ intensity\ of\ the \ earthquake,I_o\ is \ the\ intensity\ of\\the\ reference\ earthquake.\\\\Given\ that\ M=4.8,I_o=1.\ Hence:\\\\4.8=log(\frac{I}{1} )\\\\4.8=log(I)\\\\I=e^{4.8}\\\\I = 121.5\)
If xi and yi are positively correlated in the sample then the estimated slope is _____. a. less than zero b. greater than zero c. equal to zero d. equal to one
If xi and yi are positively correlated in the sample, then the estimated slope is :
b. greater than zero.
When xi and yi are positively correlated, it means that as the value of xi increases, the value of yi also increases, and vice versa. In this case, the estimated slope of the regression line will be greater than zero, indicating a positive relationship between xi and yi.
The estimated slope, often denoted as "b" in a simple linear regression model (y = a + bx), quantifies the change in the dependent variable (yi) for each unit change in the independent variable (xi). In the case of a positive correlation, the estimated slope (b) would be greater than zero, indicating that for each unit increase in xi, yi is expected to increase by an amount equal to the estimated slope (b).
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a business has 31 applicants for a job. how many ways can they pick 8 of the applicants to interview?
There are approximately 1,716,190 ways the business can pick 8 applicants to interview from a pool of 31 applicants.
To determine the number of ways the business can pick 8 applicants to interview from a pool of 31 applicants, we can use the concept of combinations.
Specifically, we need to calculate the number of combinations of 31 applicants taken 8 at a time.
The number of combinations, denoted as "C(n, r)" or "nCr", represents the number of ways to choose r items from a set of n items without regard to their order.
The formula for combinations is:
C(n, r) = n! / (r!(n - r)!)
where n! denotes the factorial of n, which is the product of all positive integers up to n.
Using this formula, we can calculate the number of ways to pick 8 applicants from a pool of 31:
C(31, 8) = 31! / (8!(31 - 8)!)
Simplifying further:
C(31, 8) = 31! / (8! * 23!)
Since calculating factorials of large numbers can be cumbersome, we can simplify the expression further by canceling out common terms in the numerator and denominator:
C(31, 8) = (31 * 30 * 29 * 28 * 27 * 26 * 25 * 24) / (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
C(31, 8) = 69,090,840 / 40,320
C(31, 8) ≈ 1,716,190
Therefore, there are approximately 1,716,190 ways the business can pick 8 applicants to interview from a pool of 31 applicants.
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Lisa also cleans windows on the weekend. She charges $10 a window plus a $5 flat supply fee, regardless of the size of the window. Write the total charge, c, of a cleaning job as a function of the number of windows (w).
Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5
What was the steps to find this answer?So, she charges $10 a window plus a $5 flat supply fee, we are going to add 10 and 5 to find are answer and we are going to use c:
→ w = 10
→ 10w
$5 in the other hand, is independent.
→ + 5
→ c = 10w + 5
Therefore, Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5
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Can someone solve this?
Find the values of the variables and the measures of the angles.
Answer:
The total of the sum of the angles has to be 180°.
We already know there is an angle which is 90°, so the sum of the two reaming angles has to be 90°. (180-90).
so: 3x+4x-1=90
7x-1=90
7x=91
x= 13
so: 3*(13)= 39
and 4*(13)-1= 51
In 5 hours a small plane can travel downwind for 4000 kilometers
or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.
write as an equation
Answer:
the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
Step-by-step explanation:
Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so
5(V - v) = 4000
V - v = 800 (1)
For upwind movement, since the plane travels 3000 km in 5 hours, so
5(V + v) = 3000
V + v = 600 (2)
adding equations (1) and (2), we have
V - v = 800
+
V + v = 600
2V = 1400
V = 1400/2 = 700 km/h
subtracting equations (2) from (1), we have
V - v = 800
-
V + v = 600
-2v = 200
v = -200/2 = -100 km/h
So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h