Answers
Order of the given expression into smallest to largest are as follow:
\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}\)
As given in the question,
Given expressions are as follow:
\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12},\\\\\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}\\\\\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} \\ \\\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}\)
Arrange them in the order of smallest to largest by simplifying them,
\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}= \frac{2+4}{24-12\\}\)
= 0.5
\(\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}= \frac{4+\sqrt{2} }{12}\)
=0.45
\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} = \frac{2+4}{-48}\)
= -0.125
\(\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}= \frac{4+\sqrt{2} }{-48}\)
= -0.1128
-0.125 < -0.1128 < 0.45 < 0.5
Therefore, order of the given expression into smallest to largest are as follow:
\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}\)
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Related Questions
Help
8th grade math
And I’m Loki dum
Answers
Answer:
(0,5) or 5
Step-by-step explanation:
the y intercept is the point where the line crosses the y-axis. given this info, its given that the y intercept would be 5, or (0,5) in coordinates ^_^
Answer:
0,5
Step-by-step explanation:
So this is actually simpler than it looks. All you have to do is see what point starts out with the x coordinate at zero. The center of the graph is 0,0, so the y intercept is 0,5 because that is the first graph of y. The order is 0,5 1,6 2,7 so on and so on. Hope my explanation made sense. There is a reason why I'm not a teacher. Lol.
Find the standard form of the equation of the line through (8,-3) that is parallel to the line 3y=4x+8
Answers
The standard form of the equation of the line passing through (8,-3) that is parallel to the line 3y=4x+8 is 4x - 3y = 41
How to represent equation in standard form?The equation of the line in standard form can be represented as follows:
Ax + By = C
where
A, B and C are constantTherefore, the standard form of the equation of the line through (8,-3) that is parallel to the line 3y = 4x + 8 is a s follows;
Parallel lines have the same slope.
Hence,
3y = 4x + 8
y = 4 / 3 x + 8 / 3
The slope of the line is 4 / 3. Hence, the line passes through (8, -3). let's find the y-intercept.
y = 4 / 3 x + b
-3 = 4 / 3 (8) + b
b = -3 - 32 / 3
b = -9 - 32/ 3
b = -41 / 3
Hence,
y = 4 / 3 x - 41 / 3
multiply through by 3
3y = 4x - 41
Therefore, the standard form is 4x - 3y = 41
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Muriel can do the laundry in 3 hours working alone. Rea has more experience and can do the laundry in 2 hours working alone. How long will it take both people to do the laundry working together?
Answers
Here we have a problem of rates of work, where we want to find the rate at which two people would work together, so we can find the time it takes to complete a given job when these two work together..
We will find that they need to work for 6/5 hours to do the laundry together.
---------------------------------------
We know that:
Muriel can do the laundry in 3 hours.Rea can do the laundry in 2 hours.Then we can define:
M = rate at which Muriel works = 1/3hR = rate at which Rea works = 1/2hWhere the rates are computed as the quotient between 1 (1 total laundry completed) and the amount of time it takes to do it.
If they work together, the rate just adds up, so we will have:
rate = (M + R) = 1/3h + 1/2h
Now we need to write that as a single fraction, so we get:
rate = 1/3h + 1/2h = 2/6h + 3/6h = 5/6h
Now we can write an equation of the form:
rate*time = 1
Where the 1 again, means "one complete laundry done".
Then we have:
(5/6h)*T = 1
T = (6/5)h
This means that they need to work for (6/5) hours to do the laundry together.
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Circle Project 1. Draw a point at (1, -2) 2. Draw an 8-unit long radius 3. Using a compass, Draw a circle with your point from step one as your center and the point from step two as the side. 4. Using a protractor, draw a 70 degree arc 5. Draw a central angle which intercepts your arc 6. Draw an inscribed angle which intercepts a 40 degree arc 7. Draw a tangent line 8. Draw a secant line 9. Write the equation of your circle.
Answers
Answer:
I can explain how to complete each of the steps you have provided.
1. Draw a point at (1, -2)
This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).
2.
Draw an 8-unit long radius
Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.
3. Using a compass
Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.
4. Using a protractor draw a 70 degree arc
Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.
5. Draw a central angle which intercepts your arc
Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.
6. Draw an inscribed angle which intercepts a 40 degree arc
Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.
7. Draw a tangent line
Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.
8. Draw a secant line
Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.
9. Equation of your circle
The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.
Starting with the number 3, build a sequence of 5 numbers.
Answers
Answer:
3, 6, 9, 12, 15
adding 3 each time
or
3, 9, 27, 81, 243
multiplying by 3 each time
Step-by-step explanation:
Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
Answers
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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What’s the explicit rule for the sequence 9,14,24,...
Answers
Answer:
f(n) = 5n(n -1)/2 +9
Step-by-step explanation:
The rule will depend on what kind of sequence you think this is. An infinite number of rules can be dreamed up that will give these three values.
The simplest polynomial rule is one of 2nd degree. We know this because the first differences are 14-9 = 5 and 24-14 = 10, so are not constant. Only three values are given, so only a polynomial of degree 3-1=2 can be specified by these points.
If we say the polynomial is ...
f(n) = an^2 +bn +c
Then the three given points give rise to three equations:
9 = a + b + c
14 = 4a +2b +c
24 = 9a +3b +c
Solving these by your favorite method gives ...
a = 5/2, b = -5/2, c = 9
So an explicit polynomial rule can be written as ...
f(n) = 5n(n -1)/2 +9
_____
Additional comment
A sequence such as this one can also be described by an exponential rule. Here's one that describes these points:
f(n) = 5·2^(n-1) +4
The fact that the first differences (5, 10) are related by a factor of 2 suggests 2 as the base of the exponent.
Find the sum or difference.
1. -80+77 =
2. 77 + 160 =
3. -64+ (-33) =
4. 104-(-92) =
5. -105-(-122) =
6. 185-(-154) =
7. -53-(-59) =
8. -6+ (-35) =
9. 15-(-26)-(-39) =
10. -93 +191+ (-179)
Find the product or quotient.
11. 60+ 12 =
12. -194+ (-2)=
13. 88 (-2) =
14. -12 10 =
15. -10 (-11) =
16. 90+ (-6)=
17. 3 (-59) =
18. -7 (-2) =
19. 100 (0) =
20.100/0=
Answers
After answering the presented question, we may conclude that the solution of the expressions are as follows.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
the solution of the expressions are as follows -
-3237-97196173396-4152-8172-196-176-12011084-177140undefined (division by zero is undefined)To know more about expressions visit :-
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Tyrone put 1/3 teaspoon of salt in a batch of cookie dough. He thought that might not been enough salt, so he added another 1/4 teaspoon. How much salt did Tyrone use in total?
Answers
Answer:
7/12 of salt.
1/4 + 1/3 =
1/3 + 1/4 =
4/12 + 3/12 = 7/12.
Step-by-step explanation:
Hope it helps! =D
simplify 12.75 / 7 - 2.75
Answers
the initial expression is:
\(\frac{12.75}{7}-2.75\)so we can operate so:
\(undefined\)Pls help I’ll brainlest due today
Answers
Answer:
All you have to do is plot one point at (0,0) and another one at (7,2) that should give you a line. The equation is y=2/7x or y=0.2
vision source is a cable television provider. in the long run, vision source can provide cable television for 20,000 homes each month at a total cost of $800,000, cable television for 30,000 homes at a total cost of $900,000, or cable television for 40,000 homes at a total cost of $1,000,000.
Answers
The answer to this Question Based on Television is 3rd case
What is Television?
It is a device that supports different types of Entertainment inluding news sports and many other activites
Solution:
We are given 3 cases in which we have to select best case for long run
in first case we have $8000000 and we can provide television connection
20000 homes
in second case we have $9000000 and we can provide television connection to 30000 homes and
in 3rd case we have $10000000 and we can provide television connection to 40000 homes
now if we observe this data carefully we will find that 3rd option is best in this case
because if we consider there are 1200000 homes then first case will take $4800000
2nd case will take $ 3600000
and 3rd case wil take only
$3000000
hence for large population 3rd case is best one to provide cable connection
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simplify (-x+8x-12)/(x^(2)-4x-12)
Answers
Answer:
\(\frac{7x-12}{(x-6)(x+2)}\)
Step-by-step explanation:
We solve this equation by combining like terms \((-x+8x)=7x\)
Now we rewrite the equation \(\frac{7x-12}{x^2-4x-12}\)
We factorize \(x^2-4x-12\) and we get \((x-6)(x+2)\)
So our simplified answer would be \(\frac{7x-12}{(x-6)(x+2)}\)
i gvee brainlilsttttt
Answers
Answer:
g or h whichever u think is best
Step-by-step explanation:
Answer:
H. 16
Step-by-step explanation:
Divide 24 by 15 and you get 1.6, then multiply 10 by 1,6 and you get 16!
I hope this helps and have a great day! :)
Someone please help ASAP will mark as Brainliest
Answers
Evaluate the expression of X = 3
Answers
Answer:
x=3
Step-by-step explanation:
x=3, there is no formula or anything...
On Sandy's scale drawing of the school campus 2 inches equals 4 yards the distance between the swings and the tracks is 10 inches of the drawing and the distance between the track and the basketball court is 4 inches on the drawing how much farther is the track from the swings than from the basketball court in the actual distance?
Answers
Answer:
The answer would be 20 because 2x2=4 right so 10x2=20
Step-by-step explanation:
One number is 2 more than 3 times another. Their sum is 22. Find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12
Answers
9514 1404 393
Answer:
(b) 5, 17
Step-by-step explanation:
You can try the answer choices easily enough.
2 +3×8 ≠ 14
2 +3×5 = 17 . . . . this choice works (5, 17)
2 +3×2 ≠ 20
2 +3×4 ≠ 18
2 +3×10 ≠ 12
__
Or, you can solve the equation:
x + (2 +3x) = 22
4x = 20 . . . . . . . . subtract 2
x = 5 . . . . . . . . . . divide by 4
The numbers are 5 and (22 -5) = 17.
I really need help answer has to fit in this box:
Answers
Help me please if you can
Answers
Answer:
3 1/8
Step-by-step explanation:
3 1/2 can also be represented as 3 4/8. Knowing this, we can apply it to the equation.
6 5/8 - 3 4/8
= 3 1/8 or 25/8
WORTH 75 POINTS WILL MARK BRAINLYEST HELP ME PLEASE 75 75 POINTS
Answers
Your answer is \(\frac{d^7}{c}\)
Yw :D
Answer:
d⁷/c
Step-by-step explanation:
djsjdnsjjwndjaojc
Let (-3, 4) be a point on the terminal side of 0. Find the exact values of sin 0, csc 0, and cot 0.
Answers
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.
Trigonometric ratio calculation.
We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:
r² = x² + y²
r² = (-3)² + 4²
r² = 9 + 16
r² = 25
r = 5
Now we can find the values of sin θ, csc θ, and cot θ:
sin θ = y/r = 4/5
csc θ = r/y = 5/4
cot θ = x/y = -3/4
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.
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6. If mZCDF = (3x + 14)", mZFDE = (5x - 2)", and mZCDE = (10x - 18)", find each measure.
D
E
XE
F
mZCDF =
mZFDE =
mZCDE =
Answers
Answer:
Answer:
x = 15 , m∠ CDF = 59° , m∠FDE = 73° , m∠CDE = 132°
Step-by-step explanation:
* Lets explain how to solve the problem
- The m∠ CDF = (3x + 14)°
- The m∠ FDE = (5x - 2)°
- The m∠ CDE = (10x - 18)°
- We need to find the value of x and the measure of each angle
∵ Point D is the vertex of the three angles
∵ The ray DF is between the rays DC and DE
∴ m∠ CDE = m∠ CDF + m∠ FDE
∵ m∠ CDE = (10x - 18)°
∵ m∠ CDF = (3x + 14)°
∵ m∠ FDE = (5x - 2)°
- Substitute the measures of these angles in the equation above
∴ 10x - 18 = (3x + 14) + (5x - 2)
- Add the like terms in the right hand side
∴ 10x - 18 = (3x + 5x) + (14 - 2)
∴ 10x - 18 = 8x + 12
- Subtract 8x from both sides and add 18 to both sides
∴ 10x - 8x = 12 + 18
∴ 2x = 30
- Divide both sides by 2
∴ x = 15
- Substitute the value of x in the measure of each angle to find it
∴ m∠ CDF = 3(15) + 14 = 59°
∴ m∠ FDE = 5(15) - 2 = 73°
∴ m∠ CDE = 10(15) -18 = 132°
9514 1404 393
Answer:
∠CDF = 59°
∠FDE = 73°
∠CDE = 132°
Step-by-step explanation:
We can use the angle sum theorem to relate the angles:
∠CDF + ∠FDE = ∠CDE
(3x +14) +(5x -2) = (10x -18) . . . . . divide by " (presumably, degrees (°))
8x +12 = 10x -18 . . . . . collect terms
30 = 2x . . . . . . . . . . . . add 18-8x
15 = x . . . . . . . . . . . . . . divide by 2
Then the angle measures are ...
∠CDF = (3x +14)° = (3(15) +14)° = 59°
∠FDE = (5x -2)° = (5(15) - 2)° = 73°
∠CDE = (10x -18)° = (10(15) -18)° = 132°
Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.
Answers
a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.
a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:
Industry Average Salary = 96% of Firm B's Average Salary
= 0.96 * $58,000
= $55,680
b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:
Firm A's Average Salary = 93% of Industry Average Salary
= 0.93 * $55,680
= $51,718.40
c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:
Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100
= ($58,000 / $51,718.40) * 100
≈ 112.27%
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identify the same-side interior angles. Choose all the Apply<3 & <4<3 & <5<3 & <6<3 & <8
Answers
The same-side interior angles are also called consecutive interior angles. They are non-adjacent interior angles that lie on the same side of the transversal (in this case, t). Then, we have that these angles are:
\(\measuredangle3,\text{ }\measuredangle5\)And
\(\measuredangle4,\measuredangle6\)A graph to represent them:
From the options, we have that option B is one answer: <3 and <5. The other possible answer is <4 and <6 (not shown in the possible options).
You go to Trader Joes with your older sister to pick up avocados to make guacamole. Trader Joes sells 4 avocados for $3.50 or 6 avocados for $5.00. Which is a better deal?
Answers
HELP ASP 20 POINTS PLSp
Answers
Answer:
Step-by-step explanation:
$499.99 - 15% will give your answers
Answer:
424.99
Step-by-step explanation:
What is the measure of angle 1?
2 parallel lines are crossed by a transversal to form 8 angles. Clockwise from top left, the angles are blank, 92 degrees, blank, blank; blank, 2, 1, blank.
A.86°
B.88°
C.90°
92°
Answers
Answer:
92°
Step-by-step explanation:
because 1 is parallel to the 92°
Answer:
88 degrees
Step-by-step explanation:
Angle 2 will be equal to 92 degrees since they are corresponding angles
Since angle 1 and angle 2 form a linear pair,
the sum of angle 1 and 2 will be 180 degrees, and since we know the measure of angle 2, we can find the measure of angle 1
angle 1 + angle 2 = 180
angle 1 = 180 - 92
angle 1 = 88 degrees
Consider the following two algorithms which both are meant to print all multiples of 11 from 1 up to a user input positive integer value - upper. Which statement correctly compares the efficiency of these two algorithms?
Algorithm 1:
for (int i = 1; i <= upper; i++)
{
if (i % 11 == 0)
{
System.out.println(i + " ");
}
}
Algorithm 2:
for (int i = 1; i <= upper / 11; i++)
{
System.out.println(i * 11 + " ");
}
Answers
Algorithm 2 is more efficient than Algorithm 1 because it only needs to loop through the numbers up to upper/11 instead of upper. This means that it will take fewer iterations to reach the result, making it more efficient than Algorithm 1.
Algorithm 1 will make upper/11 more checks than Algorithm 2, resulting in a slower runtime. Additionally, Algorithm 2 avoids the need to check the modulus of each number, further reducing the computation time. Algorithm 2 only needs to loop through the multiples of 11, which are always 11 apart from each other, so it can skip over the other numbers between them.
This makes Algorithm 2 much faster than Algorithm 1 because it is only looping through a fraction of the numbers.
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in a geography textbook,35% of the page is colored. if there are 98 colored pages, how many pages are there in the whole textbook?
Answers
Answer:
There are totally 280 pages in that book
Step-by-step explanation:
let the total pages be x.
From the question we know that 98 pages are the 35% of total pages...
so,
(98/x)*100 = 35
98/x = 35/100
reciprocal both sides...
x/98 = 100/35
x = 2.857 * 98
x = 280
There are total 280 pages in the textbook.
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
Given that, in a geography textbook, 35% of the page is coloured and there are 98 coloured pages'
Let the total pages in the textbook be x, then,
35% of x = 98
x = 98*35/100
x = 280
Hence, There are total 280 pages in the textbook.
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