Solve for x
1/5(2/3x - 1/2) > x + 1/3
Answers
Answer:
x<-11/26
Step-by-step explanation:
1/5(2/3x-1/2)>x+1/3
2/15x-1/10>x+1/3
2/15x-x>1/3+1/10
-13/15x>11/30
x<(11/30)(-15/13)
x<-11/26
Related Questions
tristan wants to build a square garden in his backyard. if the garden is going to be 64 ft squared how many feet of material will he need for the perimeter of the garden?
Answers
Answer:
32 ft
Step-by-step explanation:
First Tristan must determine the length of one side of his square garden. Sine A = x^2, where x is the length of one side, and since 64 ft^2 = x^2, we can find the length x by taking the square root of both sides: 8 ft = x.
Now the length of the material enclosing the garden is the perimeter, P.
For a square, P = 4x.
Therefore, in this case, P = 4(8 ft) = 32 ft
1x²- 16x = 20 is mg questions
Answers
The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.
To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:
1x² - 16x = 20
First, move all terms to one side of the equation:
1x² - 16x - 20 = 0
Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:
x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))
Simplifying further:
x = (16 ± √(256 + 80)) / 2
x = (16 ± √336) / 2
x = (16 ± √(16 * 21)) / 2
x = (16 ± 4√21) / 2
Simplifying:
x = 8 ± 2√21
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please check my answer thank you ×ω×
dont mind the tabs i have open
Answers
y = (1/2)x - 9/2
==========================================================
Explanation:
The equation y+2x = 1 solves to y = -2x+1 after subtracting 2x from both sides.
That second equation is in the form y = mx+b
m = slopeb = y interceptThe slope in this case is m = -2. Flip the fraction and flip the sign to get 1/2.
The original slope is -2 and the perpendicular slope is 1/2. The two slopes multiply to -1.
We'll use this new slope as the m value, along with the coordinates (7,-1) to solve for b like so:
y = mx+b
-1 = (1/2)*7+b
-1 = 3.5+b
-1-3.5 = b
-4.5 = b
b = -4.5
b = -9/2
Since m = 1/2 and b = -9/2, this means we go from y = mx+b to y = (1/2)x-9/2 which is choice C
The graph is below.
Answer:
the answer is the last option
I need help please! open the image
Answers
Answer:
594 yd³
Step-by-step explanation:
11x9x6=594 yd³
need help with geometry
Answers
To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:
Volume = π * r² * h
Substituting the given values, we have:
\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)
To solve for h, we divide both sides of the equation by 153.86:
h = 1500 / 153.86
h ≈ 9.75
Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.
Therefore, the height of the cylinder is 9.75 inches.
Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.
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Someone help with this equation
Answers
The answer is:
g(x + 1) = 6x + 1
g(4x) = 24x -5
Work/explanation:
To evaluate, I plug in x + 1 into the function:
\(\sf{g(x)=6x-5}\)
\(\sf{g(x+1)=6(x+1)-5}\)
Simplify
\(\sf{g(x+1)=6x+6-5}\)
\(\sf{g(x+1)=6x+1}\)
------------------
Do the same thing with g(4x)
\(\sf{g(4x)=6(4x)-5}\)
\(\sf{g(4x)=24x-5}\)
Hence, these are the answers.
Which of these expressions could Alex and Taylor use to calculate the square footage of the tile Dining area? Find only the tile floor, and not the cabinets shown in black. Select all that apply.
A 34 foot by 13 foot grid. The kitchen is flush left. It has an 18 foot by 2 foot horizontal rectangle in the top left of the grid. Under the far left and right sides of the rectangle are two 6 foot by 2 foot vertical rectangles. There are two other horizontal rectangles on the bottom left of the grid that are 2 foot by 6 foot. There is a 4 foot gap between them. The dining room is on the right with a 12 foot by 2 foot rectangle in the top right of the grid.
Select answers
(16 x 13) - (12 x 2)
(4 x 13) + (12 x 2) + (12 x 11)
(17 x 11) + (4 x 2)
(4 x 13) + (12 x 11)
Answers
Expressions for the square footage of the tile Dining area, Considering only the tile floor, and not the cabinets shown in black will be (16 x 13) - (12 x 2) and (4 x 13) + (12 x 11)
How to calculate the area of rectangle?The area of a rectangle is a measure of the amount of space it occupies in two-dimensional (2D) space. It is calculated by multiplying the length of the rectangle by its width. Mathmatically,
\(Area=length*width\)
Now, Solving given problem,
The total area of the grid will be:Length of grid = 16 ft, Width of grid = 13 ft
Total area of grid = Length x Width = 16 ft x 13 ft = 208 sq ft
The area of the rectangle in the top right :Length of rectangle = 12 ft, Width of rectangle = 2 ft
Area of rectangle = Length x Width = 12 ft x 2 ft = 24 sq ft
To remove the top right rectangle from the tile dining area, subtract its area from the total area of the grid:
(Total area of grid) - (Area of rectangle in top right) = (208 sq ft -24 sq ft )= 184 sq ft
So, the expression for this calculation will be: (16 x 13) - (12 x 2) = 184 sq ft
The area of the vertical rectangles on the far left and right sides is calculated as follows:Width of vertical rectangles = 4 ft, Length of grid = 13 ft
Area of vertical rectangles = Width of vertical rectangles x Length of grid = 4 ft x 13 ft = 52 sq ft
The area of the rectangle in the top right:Length of rectangle = 12 ft, Width of rectangle = 11 ft
Area of rectangle = Length x Width = 12 ft x 11 ft = 132 sq ft
Add the areas of the vertical rectangles and the rectangle in the top right to get the total area of the tile dining area:
Area of vertical rectangles + Area of rectangle in top right = 52 sq ft + 132 sq ft = 184 sq ft
So, the expression for this calculation is: (4 x 13) + (12 x 11) = 184 sq ft
Hence, both of these expressions- (16 x 13) - (12 x 2) and (4 x 13) + (12 x 11) gives the square footage of the tile dining area based on the given information.
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Question 6 (5 points)
Which of the following pairs of triangles can be proven similar through SSS
similarity?
Answers
The pairs of triangles can be proven similar through SSS similarity is given by Third pair.
We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.
1. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
2. KL / EG = HL / DG = HK / DE
3/10 ≠ 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
3. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 = 5/10
Thus, SSS similarity follow.
4. All three angles are congruent.
Thus, SSS similarity does not follow.
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Solve the formula for m
Answers
Answer:
Answer is D.
Step-by-step explanation:
\(v^{2} =\frac{3P}{mn}\\\)
Multiply both sides by m.
\(mv^{2} =\frac{3P}{n}\\\)
Divide both sides by \(v^{2}\).
\(m =\frac{3P}{nv^{2}}\\\)
select an expression that is equivalent to 2^4/8
Answers
Answer:
The answer is C
Step-by-step explanation:
c. 8√(2^4 )
given 2^(4/8) can be written as 2^(4×1/8)
eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4
further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2
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When Louis Brandeis graduated from Harvard Law School, he immediately established a
reputation in Boston as an attorney who would accept cases
Later appointed
Answers
Use a model to divide 4/5 ÷ 6 Express the answer in simplest terms.
Answers
Answer:
im on the same quesrion
Answer: 2/15
Step-by-step explanation: because 5 x 6 equals 20 and the quotient would be 4/30 but in this case it says to simplify so the answer would be 2/15 yw O.o I also have the same question on an assigment c:
For a school project, Leah is investigating cell phone use in her hometown, Georgetown. So far, she has found that the residents of Georgetown used their cell phones for 463,090 minutes last year. This year, they used their cell phones for a total of 370,472 minutes. What is the percent of decrease in annual usage?
Answers
Answer:
19.99%
Step-by-step explanation:
hope this helps
here you go
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7
0-07<4-4 < 23.5
0-29
O 29
Answers
The differences are: -9, 22, 0, -19, -105, 24, -46, -8, -5, -8, -8
The mean of the differences is: -9.5
The standard deviation of the differences is: 38.3
To calculate the 99% confidence interval, we use the formula:
(mean difference) +/- (t-value) * (standard deviation of differences / square root of sample size)
The sample size is 11, so the degrees of freedom are 10. Using a t-table with 10 degrees of freedom and a 99% confidence level, we find the t-value to be 3.169.
Plugging in the values, we get:
-9.5 +/- 3.169 * (38.3 / sqrt(11))
Which simplifies to:
-9.5 +/- 23.5
Therefore, the 99% confidence interval for the difference in means is (-33, 14).
Find the area of each figure answer asap
Answers
person examines 10 roses; all of which are red, and concludes that all roses are red. What type of reasoning
Answers
Answer: Inductive reasoning.
Step-by-step explanation:
This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").
Would someone help me to understand this math. Thank you
LINES & LINE SEGMENTS ASSIGNMENT
Plot the following points on the number line below:
A: -25 B: -17 C: -13
D: -1 E: 4 F: 11
G: 16 H: 23 I: 25
Using the points and number line from the problem above, find each of the following. The first one is done for you.
a) BD = | -17 – (-1) | = | -17 + 1 | = | -16 | = 16
b) AE
c) EF
d) GI
e) CH
f) BG
g) CF
h) AC
Answers
Answer:
16, 29, 7, 9, 36, 33, 24, 12
Step-by-step explanation:
The distance between two points on a number line is the magnitude of the difference between their coordinates. In general, that means you can subtract the coordinate of the left point from the coordinate of the right point to find the distance.
Here, the points are in alphabetical order on the number line, left-to-right, as are the letters in the segment names. So you subtract the coordinate of the first point of the name from the coordinate of the last point in the name.
This is 8 simple subtraction problems.
a) D - B = -1 -(-17) = 16
b) E - A = 4 -(-25) = 29
c) F - E = 11 -4 = 7
d) I - G = 25 -16 = 9
e) H - C = 23 -(-13) = 36
f) G - B = 16 -(-17) = 33
g) F - C = 11 -(-13) = 24
h) C - A = -13 -(-25) = 12
_____
If you think of it as mileposts on a highway, it should be no surprise that the distance between milepost 4 and milepost 11 is 11 - 4 = 7 miles.
f(x)=x^2. What is g(x)?
Answers
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
At Rachel’s 11th birthday party, eight girls were timed to see how long (in seconds) they could hold their breath in a relaxed position. After a two-minute rest, they timed themselves while jumping. The girls thought that the mean difference between their jumping and relaxed times would be zero. Test their hypothesis.At Rachel’s 11th birthday party, eight girls were timed to see how long (in seconds) they could hold their breath in a relaxed position. After a two-minute rest, they timed themselves while jumping.
Relaxed time (seconds)
Jumping time (seconds)
26
21
47
40
30
28
22
21
23
25
45
43
37
35
29
32
Answers
The test statistic is 1.507 and the corresponding p value is 0.175539
Fail to reject H₀ because the p value is greater than the significance level 0.05.
There is enough evidence to warrant rejection of the claim that the mean difference between their jumping and relaxed times would be zero.
To find the mean and standard deviation for the paired differences, prepare the table:
Calculate the value of d bar:
d bar = ∑d/n
= 5+7+...+(-3)/8
= 14/8
= 1.75
Calculate the standard deviation of the (d)
Sd = √(d₁-dbar)²/n-1
= √(5-1.75)²+(7.1-75)²+..+(-3-1.75)²/8-1
= √10.785714
= 3.284
The mean and standard deviation of the eight girls were timed to see how long they could be zero.
Null hypothesis H₀: meand = 0
Alternative hypothesis H₁ : mean d ≠ 0
Level of significance α = 0.05
Decision rule : Reject H₀ when p value < 0.05 level of significance.
The null hypothesis is the 8 girls mean difference between their jumping and relaxed time is equal to the zero and alternative hypothesis is the 8 girls mean difference between their jumping and relaxed time is not equal to the zero.
from the available info, d bar = 1.75 Sd = 3.284
Calculate the test statistic value.
t = 1.75 - 0/3.284/√8
= 1.507
calculate the degree of freedom.
df = n-1
= 8-1
= 7
Calculate the p value of the test
P value = (=TDIST(1.507,7,2)) (use MS Excel function)
= 0.175539
Hence the test statistic is 1.507 and the corresponding p value is 0.175539
Fail to reject H₀ because the p value is greater than the significance level 0.05.
There is enough evidence to warrant rejection of the claim that the mean difference between their jumping and relaxed times would be zero.
There is no evidence to warrant rejection of the claim that the mean difference between their jumping and relaxed times would be zero.
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A store has 300 televisions on order, and 90% are high definition. How many televisions on order are high
definition? You may find the bar model useful in completing this problem.
20% 30% 40%
70%
0%
0
10%
30
The store has
50% 60%
high-definition televisions on order.
80%
90%
100%
300
Answers
Answer:
90% of 300 = .90 × 300 = 270 high- definition televisions on order.
f(x) = 2x + 3 and
g(x) = -3x + 1
f(4) + g(-2)=?
Answers
Write a definition of a prime number
Answers
Answer:
A prime number is a number greater than 1 with only two factor which is 1 and themselves. A prime number cannot be divided by any other number without leaving a remainder.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Hassan's bird feeder holds 5 5/6 cups of bird seeds. Hassin is feeling the bird feeder with a swoop that holds 5/6 of a cup.how many scoops of bird seeds will Hassan put into the feeder
Answers
Cups that the bird feeder holds:
\(5\frac{5}{6}\)Cups that the scoop holds:
\(\frac{5}{6}\)To solve this problem and find how many scoops are needed to fill the bird feeder, we need to divide the amount that the bird feeder holds by the amount that the scoop holds:
\(\frac{5\frac{5}{6}}{\frac{5}{6}}\)To make this division, convert the mixed number to a fraction using the following rule:
\(A\frac{b}{c}=\frac{A\times c+b}{c}\)Thus, we convert 5 5/6 to fraction:
\(5\frac{5}{6}=\frac{5\times6+5}{6}\)Solving the operations:
\(\begin{gathered} 5\frac{5}{6}=\frac{30+5}{6} \\ 5\frac{5}{6}=\frac{35}{6} \end{gathered}\)In the original division we had:
\(\frac{5\frac{5}{6}}{\frac{5}{6}}\)We substitute 35/6 in the place of 5 5/6:
\(\frac{\frac{35}{6}}{\frac{5}{6}}\)And to solve this division, we use the following rule:
\(\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times d}{b\times c}\)--> Using that rule, the division we have to solve becomes:
\(\frac{\frac{35}{6}}{\frac{5}{6}}=\frac{35\times6}{6\times5}\)Since we have 6 multiplying on the numerator and also on the denominator, they cancel each other and we get:
\(\frac{\frac{35}{6}}{\frac{5}{6}}=\frac{35}{5}\)Finally, dividing 35/5 we get the result:
\(\frac{35}{5}=7\)7 scoops are needed.
Answer: 7 scoops
Write an equation that can be used to determine the angle measure, in degrees, of Angle WBK. Let b represent the measure of Angle WBK. Then determine the measure of b.
Answers
Answer:
Step-by-step explanation:
First the equation is 180 because W B Z is 180' - (48' + 32') which is K B R AND R B Z combined and the rest is equal to W B K and thats the equation now 180 - 48 + 32 = 100' which is your answers for all others
Answer:
Step-by-step explanation:
The equation would be 180 - 80. This is the equation because we would have to do 48 + 32 which is 80. Then we do 180 - 80 which would give us the answer of 100.
Sebastian rides his bike 2000 meters in 5 minutes. How many meters does he bike in 1 minute?
Answers
Answer:
23
Step-by-step explanation:
Answer:
400 meters
Step-by-step explanation:
Divide 2,000 by 5 you can use basic facts.
ddddddddddddddddddddddm ajjjjjj
Answers
Answer:
the answer would be B
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
The first choice is correct, this is because ∠1 + ∠2 = 180 - ∠3, and to calculate ∠4, you would also do this calculation.
∠1 + ∠2 = ∠4
The second choice is incorrect because anything being added to ∠3 will make ∠4 too big.
The third choice is also correct, this is because it is the equation to calculate ∠4 by subtracting ∠3 from 180. Now we know the two correct equations.
Hope this helps!
Graph the following Absolute Value Functions.
Analyze when the function is positive, negative,
increasing, or decreasing. Then describe the end
behavior of the function.
▶1. f(x) = x+3/+2
2. f(x)=x-7/+2
3. f(x) = -x-4-9
4. f(x) = x+8 -1
5. f(x) = 3|x-1| +5
6. f(x) = -x +4+3
7. f(x) = -x-6-10
8. f(x) = -2/x+2-8
Help please
Answers
The absolute value of the given functions are ;
1. increasing
2. increasing
3. decreasing
4. increasing
5. increasing
6. decreasing
7. decreasing
8. decreasing
What are increasing and decreasing functions?Calculus functions called increasing and decreasing functions have f(x) values that change according to how much x rises or decreases. The behavior of growing and decreasing functions is examined using the derivative of the function f(x). If the value of f(x) grows as the value of x increases, the function is said to be increasing; conversely, if the value of f(x) decreases as the value of x increases, the function is said to be declining.
Like wise in this question we just have to find the d/dx and if it comes out positive then the function is increasing and if it is negative then it is decreasing.
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On any given day, the proportion of workers at a factory who are more than 5 minutes late to work is 0.11. A random sample of 20 workers will be selected. Which of the following is the best interpretation of the mean of the sampling distribution of the sample proportion of workers in the sample who are more than 5 minutes late to work for samples of size 20 ?
A) For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.
B) For a randomly selected worker, the probability the worker will be more than 5 minutes late to work is 0.11.
C) For a random sample of 20 workers, the proportion of workers who are more than 20 minutes late to work will be 0.11.
D) For a random sample of 20 workers, the probability that 2.2 workers will be more than 5 minutes late to work is very high.
E) For repeated samples of size 20, the proportion of workers who are more than 5 minutes late to work varies in each sample by no more than 0.11.
Answers
Answer:
A) For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
In this question, we have that:
The proportion workers at a factory who are more than 5 minutes late to work is 0.11. So, by the interpretation of the central limit theorem, the mean of all sample proportions, for samples of size 20, will be of 0.11.
The correct answer is given by option A.
The interpretation of the mean of the sampling distribution will be A. For all samples of size 20, the mean of all possible sample proportions is equal to 0.11.
The sampling distribution of the sample proportion is approximately normally distributed. It's simply the mean of the population from where the population is sampled.From the information, the mean of the sampling distribution of the sample proportion of workers in the sample who are more than 5 minutes late to work for samples of size 20 will be that for samples of size 20, the mean of all possible sample proportions is equal to 0.11.In conclusion, the best option is A.
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