Graph the solution of this inequality 4\9x -10>x\3-12
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Answer:
I'm terrible at explaining so here's a ss
- Ripper
Step-by-step explanation:
Related Questions
The temperature changed from 5C at 6 p.m. to -2C at midnight. How much did the temperature decrease?
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The temperature changed from 5°C at 6 p.m. to -2°C at midnight. How much did the temperature decrease?
Lets solve this!
To find out how much the temperature is decreased, you need to subtract 5°°C from -2° C. from .
Lets form this into statements ---
Temperature at 6 PM = 5°C
Temperature at midnight = -2°C.
Temperature decreased = 5°C - 2°C = 3° C.
3°C is the temperature decreased.
Hope I helped (:
Have a great day!
from 5 to 0 is a 5 degree change
then from 0 to -2 is a 2 degree change
5+2 = 7 degree change overall
Given the sets
U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9},
A = {0, 1, 4, 7, 9}, and B = {0, 4, 5, 6, 7}, use De Morgan's Laws to find the indicated set. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
(A' ∩ B)'
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We used De Morgan's laws to find the complement of the set formed by the intersection of the complement of A and B. We first found the complement of A, then the intersection of this set with B, and finally took the complement of this new set.
Explanation:In set theory, De Morgan's laws relate the intersection and union of sets in a very elegant way. Here, (A' ∩ B)' represents the complement of the set formed by the intersection of the complement of A and B.
First, let's find A'. This is the set of all elements in U that are not in A. U = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 } and A = { 0, 1, 4, 7, 9 } So, A' = { 2, 3, 5, 6, 8 }.
Now, let's find the intersection of A' and B, denoted by A' ∩ B. We have B = { 0, 4, 5, 6, 7 } so A' ∩ B = { 5, 6 }.
Finally, let's find the complement of this set, denoted by (A' ∩ B)'. This is the set of all elements in U that are not in A' ∩ B. So, (A' ∩ B)' = { 0, 1, 2, 3, 4, 7, 8, 9 }.
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Rico is estimating 139 x 18 Find his mistake and correct it.
100 x 10 =1,000
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Home this works
Mr. Abernathy bought a selection of wrenches for his shop and paid $78. He bought the same number of $1.50 and $2.50 wrenches, and half of that number of $4 wrenches. The number of $3 wrenches is one more than the number of $4 wrenches. How many of each did he buy?
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2x = # of $1.50 wrenches
2x = # of $2.50 wrenches
x+1 = # of $3 wrenches
x(4.00) + 2x(1.50) + 2x(2.50) + (x+1)(3.00) = $78
4x + 3x + 5x + 3x + 3 = 78
15x + 3 = 78
15x = 75
x = 5
Therefore, he has 5 $4 wrenches, 10 $1.50 wrenches, 10 $2.50 wrenches and 6 $3 wrenches.
Verify:
5($4) + 10($1.50) + 10($2.50) + 6($3) = $20 + $15 + $25 + $18 = $78
In this algebraic word problem, equations were set up based on the prices and relationships between the numbers of wrenches bought, leading to the discovery that Mr. Abernathy purchased 12 wrenches each at $1.50 and $2.50, 6 wrenches at $4, and 7 wrenches at $3 to make a total of $78.
Mr. Abernathy's allocation of his $78 budget on wrenches can be formulated as an algebraic word problem where we define the number of wrenches bought at each price point and the total cost. Let us denote x as the number of $1.50 wrenches and also the number of $2.50 wrenches, so the number of $4 wrenches is x/2 since it is half of that number.
The number of $3 wrenches is x/2 + 1 because it is one more than the number of $4 wrenches. The total amount spent can be expressed as the sum of the products of the numbers of wrenches and their respective prices, which must equal $78.
The equation for the total amount spent on wrenches is therefore:
1.50x + 2.50x + 4(x/2) + 3(x/2 + 1) = 78
Solving this equation for x gives us the number of $1.50 and $2.50 wrenches, and then we can infer the quantities of the $4 and $3 wrenches.
After simplifying the equation, we solve for x, and by plugging x back into the previous expressions, we find out that Mr. Abernathy bought 12 wrenches at $1.50 each, 12 wrenches at $2.50 each, 6 wrenches at $4 each, and 7 wrenches at $3 each.
Clarence solved the equation 3x + 15 = 33 and showed the following work. 3x + 15 = 33 3x + 15 - 15 = 33 3x = 33 = x = 11 Which of the following is true? x is 11. x should be 6. x should be 16. x should be 99.
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3x = 33 - 15
3x = 18
x = 18/3
x = 6 <==
Answer:
x=6
Step-by-step explanation:
what is 69.12 rounded to the nearest tenth
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Sierra has a total of 61 dimes and quarters in her piggybank. She has 3 more quarters than dimes. The coins have a total value $10.90. How many dimes and how many quarters does she have? [hint: use the decimal values of the c coins to write an equation.]
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x + y = 61
y = x + 3
Since a dime is 1/10 of a dollar and a quarter is 1/4 of a dollar,
(1/10)x + (1/4)y = 10.90
We made 3 equations. The system is overspecified. Let's just use the first two equations and apply it to the third for verification.
x + (x + 3) = 61
Solving for x,
x = 29
y = 29 + 3 = 32
Verifying,
(1/10)(29) + (1/4)(32) = 10.90
Hence, there are 29 dimes and 32 quarters.
A square acre of land is 4840 square yards. Between which two integers is the length of one side? Pls show the steps or work.
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69.57 is between 69 yards and 70 yards.
how many times larger is the value of the 5 in 95,284 than the value 5 in 8,521
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the value of the 5 in 8,521 is 500
5000/500 = 10
so the value of the 5 in 95,824 is 10 times greater then the value of the 5 in 8,521
find the unit rate???
Answers
Final answer: 500 kilobytes per minute
Answer:
500 kilobytes/ 1 min
Step-by-step explanation:
2,500 kilobytes/ 5 min
2,500 divide by 5 = 500 kilobytes
500 kilobytes/ 1 min
Round 9.77 to the nearest tenth
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first, find the number that is in the tenths place....it is 7....now look at the number directly to the right of it....if that number is 5 or greater, u would round that 7 up to an 8...but if that number is 4 or below, ur 7 would stay the same.
So the number directly to the right of 7 is 7...and since it is greater then 5, u have to round the 7 in the tenths place up to 8.
solution is : 9.8
Can somebody solve please?
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Find the values of x on the curve y = cos x 2 + sin x at which the tangent is horizontal. (let n be an integer. enter your answers as a comma-separated list.)
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To find the values of x on the given curve at which the tangent is horizontal, we need to find the points where the derivative of y with respect to x is equal to 0.
Explanation:To find the values of x on the curve y = cos x^2 + sin x at which the tangent is horizontal, we need to find the points where the derivative of y with respect to x is equal to 0. The derivative of y is -2x sin x + cos x.
Setting the derivative equal to 0, we have -2x sin x + cos x = 0. Solving this equation will give us the values of x at which the tangent is horizontal.
Unfortunately, it is not possible to find exact solutions to this equation analytically. We can, however, solve it numerically using methods such as Newton's method or the bisection method.
Write an expression for the following statement(s), and then list each operation
present (make sure you define any variables used).
A record company earns 25% of what a band collects in total sales. That
percentage is deducted from the band’s total sale
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Net Sale = Total Sales - 0.25*Total Sales
y = x - 0.25x
y = 0.75x
State your first and last name. use the letters in your first name and last name to write an equation of a line in slope-intercept form, y=mx + b as follows:
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Ruben bought six new books for his collection. This increased his collection by 12%. How many books did he have before his purchases?
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20. Let x represent the amount of books he had:
x + 6 = 1.12x
Subtract x from both sides:
6 = 0.12x
Divide both sides by 0.12; x = 50
28. $6 + 0.025*$6 = $6 + $0.15 = $6.15
At a harvest 16 ears of corn are being picked for every 18 peppers if 9 peppers have been picked how many ears of corn have been picked(I need the actual math)
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x : 9
x = 8
Hope this helps!
rewrite vertically,then add
63,594+98,697+59,835
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63594
98697
+59835
----------
222126
222126 is your answer
hope this helps
Find the area of the region bounded by the given curves. y = 9x2 ln(x), y = 36 ln(x)
Answers
find where they intersect
9x²ln(x)=36ln(x)
divide both sides by 9
x²ln(x)=4ln(x)
[tex]ln(x^{x^2})=ln(x^4)[/tex]
so
[tex]x^{x^2}=x^4[/tex]
so x=1 and and 2 (x can't be 0 or -2 because ln(0) and ln(-2) don't exist)
so intersect at x=1 and x=2
which is on top?
9(1.5)²ln(1.5)=20.25ln(1.5)
36ln(1.5)=36ln(1.5)
36ln(1.5) is on top
so
that will be
the area is
[tex] \int\limits^2_1 {36ln(x)-9x^2ln(x)} \, dx= [/tex]
[tex] [36x(ln(x)-1)-x^3(3ln(x)-1)]^2_1=[/tex]
[tex] 48ln(2)-29[/tex]
the area between the curves is 48ln(2)-29
The area of the region bounded by y = 9x2 ln(x) and y = 36 ln(x) is found by integrating the absolute difference of the two functions from x = 1 to x = 2, which yields ∫ from 1 to 2 (|36 ln(x) - 9x2 ln(x)|) dx.
Explanation:To find the area of the region bounded by the curves y = 9x2 ln(x) and y = 36 ln(x), you first need to find the points where they intersect. This means setting the two functions equal to each other and solving for x, i.e., 9x2 ln(x) = 36 ln(x).
This simplifies to x2 = 4 which yields two solutions x = 2 and x = -2. However, since the natural logarithm ln(x) is not defined for x < 0, we discard x = -2. So, the two curves intersect at x = 2.
The area between the curves from x = 1 to x = 2 is then obtained by integrating the absolute difference of the two functions from x = 1 to x = 2, which gives:
∫ from 1 to 2 (|36 ln(x) - 9x2 ln(x)|) dx. You can evaluate this integral with standard calculus techniques.
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What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?
Answers
Answer:
The slope is -3/2 and contains the point (0, −2). Which is b.
Step-by-step explanation:
(-3,-4) (3, 0)
slope = (0 +4) / (3 + 3) = 4/6 = 2/3
perpendicular so slope = -3/2
line on graph
y = mx + b
0 = 2/3 (3) + b
0 = 2+ b
b = -2
y intercept (0,-2)
Misty took a multiple choice test in science that had 50 questions. If the relationship between the number she got correct and the number she got incorrect is 7:3, and she got 9 incorrect, how many did she get correct?
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correct answer: 9 answer * 7/3= 21 answer.
Then for this test misty has:
9 incorrect answer
21 correct answer
20 blank/ not answered
A new extended-life light bulb has an average service life of 750 hours, with a standard deviation of 50 hours. if the service life of these light bulbs approximates a normal distribution, about what percent of the distribution will be between 600 hours and 900 hours? 95% 68% 34% 99.7%
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Approximately 99.7% of the light bulbs are expected to last between 600 and 900 hours, according to the empirical rule of normal distributions, as these values fall within +/- 3 standard deviations from the mean.
To determine what percent of the distribution of light bulbs will have a service life between 600 and 900 hours, we employ the empirical rule for normal distributions. If we know the mean (750 hours) and standard deviation (50 hours), we can calculate the number of standard deviations each of these values are from the mean:
(600 - 750) / 50 = -3 standard deviations (SD)
(900 - 750) / 50 = 3 standard deviations (SD)
According to the empirical rule (68-95-99.7 rule), approximately:
68% of the data falls within "+/- 1 SD"
95% of the data falls within "+/- 2 SD"
99.7% of the data falls within "+/- 3 SD"
Since 600 hours and 900 hours are three standard deviations away from the mean on either side, the percentage of light bulbs expected to last between these two values would be approximately 99.7%.
Solve for x: 2|2x − 2| + 4 = 20.
x = 5, x = −3
x = 5, x = −5
x = 3, x = −3
x = −5, x = 3
Answers
2|2x−2|=16Divide both sides of the equation by 2.
|2x−2|=8Set 2x-2 equal to positive and negative 8.
2x−2=8,2x−2=−8Solve both equations for x.
x=5,−3
2|2x − 2| = 20.- 4
2|2x − 2| = 16
|2x − 2| =8
That means:
1st: 2x-2 = 8 and 2nd: 2x - 2 = -8
1st: 2x=10 and x = 5
2nd 2x-2=-8, 2x = -6 and x = -3
So x = 5 and x = -3 (1st answer)
Please help quickly first to answer gets bainliest
Which expression uses the greatest common factor and the distributive property to rewrite the sum 32 + 80?
A.16(2) + 80
B. 2(16 + 80)
C.16(2 + 5)
D.8(4 + 10)
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is your answer
hope this helps
The expression 4.95+0.07x models A household monthly long distance charges where x represents the number of minutes of long-distance calls during the month what are the monthly charges for each number of long distance minutes
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The monthly charge is $ 4.95 ...and then there is the 7 cents per minute
The expression provided models the monthly long distance telephone charges, with a fixed fee of $4.95 plus $0.07 per minute of call time. To determine the monthly charge, multiply the number of minutes by $0.07 and add the result to the base charge of $4.95.
The given expression 4.95 + 0.07x represents a model for calculating a household's monthly long distance telephone charges, where x is the number of minutes of long-distance calls. To find the monthly charges for any number of minutes (x), we simply plug in the value of x and calculate the total cost.
If a household uses 0 minutes, the cost would be $4.95 (since 4.95 + 0.07(0) = 4.95).For 100 minutes of use, the cost would be $4.95 + (0.07 x 100) = $4.95 + $7.00 = $11.95.The formula incorporates a fixed fee of $4.95, which we can see as the base charge regardless of usage, plus a variable component that depends on the number of minutes used (0.07 times the number of minutes).
A container holds 7 quarts of water. How much is this in gallons? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
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Is (1,5) a solution to the equation y=x-2
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Ed Callahan Is an executive at a local bank his annual salary is $75,530 if he receive a paycheck every two weeks what is his biweekly salary
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His annual salary is $75,530. If Ed receives a paycheck every two weeks, his biweekly salary is $2905.
You will be paid every 2 weeks so is beginning on Sunday and ending on the second Saturday of the pay period. So you will be paid every two weeks, giving you a total 26 .
First you divide 75530 by 26 since its biweekly and that is how you get your answer.
Determine which statement is true about the graph of a function
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Let's start with the first statement: "The degree of the function is even."
This statement is true as both ends of the graph are approaching negative infinity and is resembles y=x^2 (an even degree function).
Second Statement: "The leading coefficient is negative."
This is also true has this parabola is faced downwards, meaning it is negative. Also, a quadratic that has a maximum as its vertex is always going to be a negative function.
A store manager orders T-shirts so that 15 out of every 35 are a medium. How many medium T shirts would you expect to find when there are 126 T shirts on a rack
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use cross multiplication to get 35x=126(15)
35x=1890 x=1890/35
x=54
54 medium shirts