Answer:
x≤−10
Step-by-step explanation:
x−(−11)≤1
Step 1: Simplify both sides of the inequality.
x+11≤1
Step 2: Subtract 11 from both sides.
x+11−11≤1−11
x≤−10
pleaseee need brainliest
2 ptsQuestion 1Given: BACOAD ONLA ZOProve: ABAD ACON1. BACO, ADONZA 201. (Select)2. ABAD ACON2Select)(Picture will be provided.)
We are given the following picture
We are given the following statements
- Line BA is congruent to line OC
- Line ON is congruent to line DA
- Angle A is congruent to angle O
If we highlight the congruencies we get
where the matching colors indicate congruency. As we can see, we have a pair of sides that are congruent and the included angle are also congruent. This is the condition for the SAS theorem to apply. Hence both triangles are congruent by the SAS theorem
WILL GIVE BRAINLIEST!
Directions: Simplify each term by factoring.
1. 3rs
2. 12xy
3. 5x2
4. 36x2
5. 25x2
6. 30x2
7. 5x3
8. 24y3
9. 9xy
10. 12x4
Answer:
1234567890-=
Step-by-step explanation:1234567890-
can someone find the answer to this please asap :)
Answer:
Step-by-step explanation:
x=1 and y=1
Step-by-step explanation:
y=6x-8
3x=10-y
y=2(10-y)-8
3x=10-y
2y=12
3x=10-y
y=6
3x=4
y=6
x=4/3
10. It takes about me 25 minutes to make out a test for a mathematics dass How long will it take to make
out tests for all five of my classes?
Answer:
2 hours and 5 minutes or 125 minutes
Step-by-step explanation:
25minutes per class
5 classes
25 * 5 = 125 minutes = 2 hours and 5 minutes
talia is buying beads to make bracelets. she makes a bracelet with 7 plastic beads and 5 metal beads for $7.25. she makes another bracelet with 9 plastic beads and 3 metal beads for 6.75$. write and solve a system of equations using elimination to find the price of each bead
The price of each plastic bead is $0.75 and the price of each metal bead is $1.25.
Let's assume the price of a plastic bead is 'p' dollars and the price of a metal bead is 'm' dollars.
We can create a system of equations based on the given information:
Equation 1: 7p + 5m = 7.25 (from the first bracelet)
Equation 2: 9p + 3m = 6.75 (from the second bracelet)
To solve this system of equations using elimination, we'll multiply Equation 1 by 3 and Equation 2 by 5 to make the coefficients of 'm' the same:
Multiplying Equation 1 by 3:
21p + 15m = 21.75
Multiplying Equation 2 by 5:
45p + 15m = 33.75
Now, subtract Equation 1 from Equation 2:
(45p + 15m) - (21p + 15m) = 33.75 - 21.75
Simplifying, we get:
24p = 12
Divide both sides by 24:
p = 0.5
Now, substitute the value of 'p' back into Equation 1 to find the value of 'm':
7(0.5) + 5m = 7.25
3.5 + 5m = 7.25
5m = 7.25 - 3.5
5m = 3.75
Divide both sides by 5:
m = 0.75
Therefore, the price of each plastic bead is $0.75 and the price of each metal bead is $1.25.
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How much does a 5 gallon of water weigh?
A 5-gallon container of water weighs approximately 41.7 pounds (18.9 kilograms). This is because water has a density of 1 kilogram per liter or 8.34 pounds per gallon. Therefore, a 5-gallon container holds 18.9 liters of water, which weighs 18.9 kilograms or 41.7 pounds.
A gallon of water is equivalent to 8.34 pounds of water. So 5-gallon of water is equivalent to
= 5 * 8.34
= 41.70
A gallon of water is equivalent to 3.78 litres of water. So 5-gallon of water is equivalent to
= 5 * 3.78
= 18.90
A litre of water is equivalent to 1 kilogram of water. So 18.90 litres of water is equivalent to
= 18.90 * 1
= 18.90
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T/F: The proportion in the body of a normal distribution can never be less than 0.50.
This statement ''The proportion in the body of a normal distribution can never be less than 0.50.'' is false because the proportion in the body of a normal distribution can be less than 0.50, depending on the location of the mean and the spread of the distribution.
In fact, for a normal distribution with a mean of μ and standard deviation of σ, approximately 68% of the area under the curve falls within one standard deviation of the mean (i.e., between μ - σ and μ + σ), which means the proportion in the body of the distribution is about 0.68.
The remaining 32% is split evenly between the tails of the distribution, which means the proportion in each tail is about 0.16.
So, the proportion in the body of the distribution is greater than 0.50.
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Kinetic energy of 1200 kg and 8.33 m/s
Answer:
The kinetic energy (KE) of an object with mass (m) moving at a velocity (v) can be calculated using the formula:
KE = 1/2 * m * v^2
Substituting the given values:
KE = 1/2 * 1200 kg * (8.33 m/s)^2
KE = 41,147.5 J
Therefore, the kinetic energy of the object is 41,147.5 Joules.
Step-by-step explanation:
the value of 2 in 204.75 is how many times the value of 2 in 103.52
Answer:
1000.
Step-by-step explanation:
The Value of the 2 in 204.75, is 200.
The Value of the 2 in 103.52 is 0.02.
So to make the 0.02 become 200, you have to move the decimal point 3 spaces to the right.
Therefore, the 2 in 204.75 is 1000 times greater than the value of the 2 in 103.52.
I hope this helps!
10. Unlocked for sale The "sold" listings on a popular auction website included 20 sales of used "unlocked" phones of one popular model. Here are the sales prices. 450 415 495 300 325 430 370 400 325 400 235 330 304 415 405 449 355 425 299 355 (a) Find the percentile of the phone that sold for $330. (b) What was the sales price of the phone that was at the 75th percentile?
a) The percentile of the phone that sold for $330 is; 29%
b) The sales price at 75th percentile is; $425
How to find the percentile?In statistics, a percentile is a term that describes how a score compares to other scores from the same set.
From the given set of data showing the sales prices, let us sort them out from smallest to largest;
Sort the data values from smallest to largest:
235, 299, 300, 304, 325, 325, 330, 345, 355, 355, 370, 400, 400, 405, 415, 415, 425, 430, 449, 450, 495
It should be noted that 6 of the 21 data values are smaller than 325.
The percentile is then the number of data values that are less than the individual's data value divided by the number of data values in total, written as a percentage.
Thus;
Percentile = (Total number of data values/Number of data values that are less than the individual’s data value) × 100%
= 6/21 × 100%
≈ 0.2857 × 100%
= 28.57 % ≈ 29%
At 75th percentile, we have;
0.75 = x/21
x = 21 * 0.75
x = 15.75
Thus, the selling price of the phone at the 75th percentile is greater than 16 of the 21 phones. This phone has a selling price of at least $425
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Show that the number of ways that 2n persons, seated around a
circular table, can shake hands in pairs without any arms crossing
is Cn, the nth Catalan number.
The number of ways to pair up 2n persons seated around a circular table without any arms crossing is given by the nth Catalan number, Cn. This result demonstrates the connection between the pairing problem and the Catalan numbers, providing a combinatorial proof for their relationship.
To show that the number of ways 2n persons seated around a circular table can shake hands in pairs without any arms crossing is Cn, the nth Catalan number, we can use the concept of Catalan numbers and a combinatorial argument.
The Catalan numbers, Cn, represent the number of valid arrangements of parentheses in a balanced expression. They also have various other combinatorial interpretations.
Consider the problem of pairing up the 2n people seated around the circular table. Start by selecting one person arbitrarily. This person can shake hands with any of the other 2n-1 people. Once the first pair is formed, we have reduced the problem to pairing up the remaining 2n-2 people around the table.
To pair up the remaining people, we can consider each pair as a single entity and treat them as one person. This reduces the problem to pairing up n-1 pairs of people, which is equivalent to the problem of pairing up n people seated in a straight line.
The number of ways to pair up n people seated in a straight line without any arms crossing is known to be Cn. Therefore, the number of ways to pair up 2n people seated around a circular table without any arms crossing is also Cn, as each valid pairing corresponds to a valid arrangement of parentheses and vice versa.
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Let f(x) = -x + 5 and g(x)=3x+ 2. Find f(x) – g(x).
=============================================
Work Shown:
f(x) - g(x) = ( f(x) ) - ( g(x) )
f(x) - g(x) = ( -x+5 ) - ( 3x+2 )
f(x) - g(x) = -x+5 - 3x - 2
f(x) - g(x) = (-x-3x) + (5-2)
f(x) - g(x) = -4x+3
In step 3, make sure to distribute the negative to everything in the parenthesis for (3x+2)
Pls help!!!!!!!!!!!!!
The surface area of a square pyramid is 2619 m².
How to surface area of a square pyramid?The surface area of a square pyramid given by the formula:
A = a² + 2al
where,
a = base length of square pyramid
l = slant height or height of each side face
We have:
a = 27 m
l = 35 m
A = a² + 2al
A = 27² + (2*27*35)
A = 729 + 1890
A = 2619 m²
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Which of the following values makes the equation
4x − 8 = −4 true?
−3
−1
1
3
Work Shown:
4x - 8 = -4
4x = -4+8
4x = 4
x = 4/4
x = 1
To check the answer, we replace x with 1 in the original equation. After simplifying, we should get the same thing on both sides
4x - 8 = -4
4(1) - 8 = -4
4 - 8 = -4
-4 = -4
The answer is confirmed.
true? I believe due to how it starts with positive 4 and is subtracted by -8 this conceding a negative number.
if there are 60 millions barrels and 34% gas and 29% diesel how many barrels are there total
Answer:
gas barrels = 20,400,000
diesel barrels = 17,400,000
other barrels = 22,200,000
Step-by-step explanation:
Total barrels = 60,000,000
gas = 34% of the barrels
diesel = 29% of the barrels
others = 37% of the barrels 100% - 34% - 29% = 37%
How many of each type of barrels?
60,000,000 × 34% = gas barrels ; 60,000,000 × .34 = 20,400,000
60,000,000 × 29% = diesel barrels; 60,000,000 × .29 = 17,400,000
60,000,000 × 37% = other barrels; 60,000,000 × .37 = 22,200,000
Check: Total barrels 60,000,000 = 60,000,000
Which statements about the graph of the function f(x):
2x²-x-6 are true?
Select two options.
First to answer gets brainliest and no link
Answer:
i think A
Step-by-step explanation:
plz give me brainleist
help me please asap.
Answer:
8
Step-by-step explanation:
Answer:
what do you need to do?
Step-by-step explanation:
what is the Question
a pool can be filled by one pump in 50 minutes and by another pump in 60 minutes. a third pump can drain the pool in 75 minutes. if all 3 pumps go into operation at the same time, how long will it take to fill the pool?
In 42 6/7 minutes the pool will get filed when all 3 pumps work together.
Given,
Time taken by the pump 1 to fill a pool = 50 minutes
Time taken by pump 2 to fill the same pool = 60 minutes
The time taken by pump 3 to drain the pool = 75 minutes
When all the 3 pumps work together, we have to find the time taken to fill the pool;
Here,
In every minute,
Pump 1 fills 1/50 of pool
Pump 2 fills 1/60 of pool
Pump 3 drains 1/75 of pool
That is,
1/50 + 1/60 - 1/75 = 6/300 + 5/300 - 4/300 = 11 - 4 / 300 = 7/300
The time taken = 300/7 minutes = 42 6/7 minutes
Therefore,
When the 3 pumps work together, it will take 42 6/7 minutes to fill the pool.
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Write two equations in standard form for two lines that will have the same solution as
4x -5y = 7
Answer:
5y-4x=7
Step-by-step explanation:
4567576537458675473489568743895
In 2012, gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. Suppose that random samples of 100 respondents were selected from both vermont and hawaii. From the survey, vermont had 65. 3% who said yes and hawaii had 62. 2% who said yes. What is the value of the sample proportion of people from vermont who exercised for at least 30 minutes a day 3 days a week?.
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.
It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.
To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:
1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65
This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.
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Tell what bills & coins Santa should receive in change (see $12.07) if the clerk gives Santa the fewest possible of each.
Given the word problem, we can deduce the following information:
1. The total amount is $12.07.
To determine the bills and coins equal to $12.07, we must follow the steps below:
Total = $12.07
So,
We subtract $10 bill since it is the largest bill not larger than the total ($12.07):
$12.07-$10.00= $2.07
We subtract $1.00 since it is the largest bill not larger than the total ($2.07):
$2.07-$1.00= $1.07
We subtract $1.00 since it is the largest bill not larger than the total ($1.07):
$1.07 -$1.00=$0.07
We subtract $0.05(Nickle) since it is the largest bill not larger than the total ($0.07):
$0.07-$0.05= $0.02
We subtract $0.01 (Dime) since it is the largest bill not larger than the total ($0.02):
$0.02-$0.01=$0.01
We subtract $0.01 (Dime) since it is the largest bill not larger than the total ($0.01):
$0.01-$0.01 =0
Therefore, the bills and coins are:
$10 bill =1
$1.00 bill =2
$0.05(Nickle) =1
$0.01 (Dime)=2
a line passes through the points (9,30) and (18,30) which statement is true about the line?
Step-by-step explanation:
It has a slope of zero because the change in the y-values is 0.
Answer: A
Step-by-step explanation:
Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.
The slope of the given lines are:
Graph 1 = 1/3
Graph 2 = -1/3
Graph 3 = 3
Graph 4 = -3
How to Find the Slope of a Line?To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:
Slope of a line (m) = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\).
Find the slope of Graph 1:
Using two points on the line, (0, 0) and (3, 1):
Slope of graph 1 (m) = (1 - 0)/(3 - 0)
Slope of graph 1 (m) = 1/3
Find the slope of Graph 2:
Using two points on the line, (0, 0) and (-3, 1):
Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3
Slope of graph 2 (m) = -1/3
Find the slope of Graph 3:
Using two points on the line, (0, 0) and (1, 3):
Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1
Slope of graph 3 (m) = 3
Find the slope of Graph 4:
Using two points on the line, (0, 0) and (-1, 3):
Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1
Slope of graph 4 (m) = -3
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Need Help with #3 , I cant seem to figure it out.
The output value of (gof)(2) is equal to -28
What is a function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
Next, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations (multiplication) in simplified form as follows;
g(x) × f(x) = x² × (-5x + 3)
g(x) × f(x) = -5x³ + 3x²
Now, we can determine the output value of the composite function (gof)(2) as follows;
(gof)(x) = -5x³ + 3x²
(gof)(2) = -5(2)³ + 3(2)²
(gof)(2) = -40 + 12
(gof)(2) = -28
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How many moles contain 1.25x 10^15 molecules of glucose
Answer:
i.e. mass of 1 mole of glucose, C6H12O6 = (6 × 12.01 + 12 × 1.01 + 6 × 16.00) g = 180.18 g (using atomic weight data to 2 decimals) 1 mole of carbon atoms weighs 12.01 g and there are 6 moles of C atoms in 1 mole of glucose, so the mass of carbon in 1 mole of glucose = 6 × 12.01 g = 72.06 g.
Step-by-step explanation:
need help-asap, will give person brainliest
Answer:
Step-by-step explanation:
In a mixed school, the number of girls is 375. if the boys to girls is 4:5.how many boys are in the school
Answer:
300
Step-by-step explanation:
375 divided by 5=75
Each “1”=75
4x75=300
There are 300 boys.
Hope this makes sense
Answer:
300 boys
Step-by-step explanation:
Let the number of boys = x
Girls: 375
boys : girls = 4 : 5
total in the ratio is 9
girls are 5/9 of total, and are 375
boys are 4/9 of total
5/9 x = 375
x = 375 × 9/5
x = 675
Boys are 4/9 of total.
4/9 × 675 = 300
as
Use Vocabulary in Writing
8. Write a division problem with a 3-digit dividend, a divisor of 20,
and remainder of 10. Use at least three of the terms in the
Word List to explain how you chose the numbers for your example.
The division problem that represents the context is ABC = 20Q + 10.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
We can write a number in the form, N = DQ + R.
Where, N = number, D = division, Q = quotient, and R = remainder.
Therefore, The given statement can be written as,
ABC = 20Q + 10.
For, Q = 10 ABC = 20×10 + 10 = 210.
Q = 15, ABC = 310.
Q = 25, ABC = 510.
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Determine whether the series converges or diverges. (n+4)! a) 4!n!4" b) 1 \n(n+1)(n+2) =
We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.
The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.
`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`
As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `
lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`
Since the limit of the ratio test is less than one, the given series converges.
The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).
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