Answers
[tex] \sqrt{12} [/tex], [tex] \sqrt{ \frac{49}{4} } [/tex],[tex] \frac{25}{7} [/tex],3.6
The numbers in order from least to greatest are:
√12,3.6,25/7,49 √4To order the numbers from least to greatest, we need to convert them all to decimals.
25/7 = 3.57142857...
√12 = 3.4641016151377544
49 V4 = 49/4 = 12.25
Therefore, the numbers in order from least to greatest are:
√12,
3.6,
25/7,
49 √4
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Related Questions
A cyclist rides her bike at a rate of 10 meters per second. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 3 hours? Do not round your answers.
Answers
Four doughnuts and 4 coffees cost $12. The cost of the 4 coffees is half the cost of the 4 doughnuts. What is the cost of each coffee?
Answers
The width of the rectangle shown below is 8 inches (in.). The length is 3 feet (ft.). What is the area of the rectangle in square inches?
Answers
8*36=288 inches squared
Answer:
3 feet = 36 inches...
THEN
8 x 36 = 288 inches squared!
Step-by-step explanation:
hope this helped
PLEASE HELP
Write the linear inequality shown in the graph. The gray area represents the shaded region.
y ≤ –3x + 5
y ≥ –3x + 5
y ≥ –3x – 5
y ≤ –3x – 5
Answers
x=5/3 is positive so its the first one
Answer:
[tex]y\leq-3x+5[/tex]
Step-by-step explanation:
we know that
The solution of the inequality is the shaded area below the solid line (the gray area)
The slope of the solid line is negative
The y-intercept of the solid line is positive
The equation of the solid line is equal to [tex]y=-3x+5[/tex]
therefore
the equation of the inequality is equal to
[tex]y\leq-3x+5[/tex]
How many possible outcomes exist when four fair coins are flipped
Answers
Answer: 16
Step-by-step explanation:
The number of outcomes exist , when a coin is flipped (tails , head) = 2
The number of possible outcomes , when 'n' number of coins are flipped :_
[tex]2^n[/tex]
For n= 4, the number of possible outcomes , when four coins are flipped :_
[tex]2^4=2\times2\times2\times2=16[/tex]
Hence, the possible outcomes exist when four fair coins are flipped = 16
How do you simplify 2√5+3√5-√5
Answers
One nanometer is about 0.00000003937 of an inch. what is this number in scientific notation?
Answers
The scientific notation of 0.00000003937 is 3.397 x [tex]10^{-8}[/tex]
what is scientific notation?A given number, equation, or expression is written in a format known as a scientific notation, which adheres to a set of principles. Large numbers like 8.6 billion are difficult to write in their numerical form since they are not only unclear but also time-consuming, and there is a potential that we may write a few zeros more or less. So, we utilise scientific notation to clearly describe extremely large or extremely small integers.
Given number:
0.00000003937
Now, to make the number in standard form we have to write the number in 10 raise to power.
So, 0.00000003937
= 3.397 x [tex]10^{-8}[/tex]
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Express the area a of an equilateral triangle as a function of the length of its side s
Answers
all three sides are the same length, there is a simpler formula:
Area=√3/4 s2
s = side
You are enclosing a rectangular garden with 60 feet of ornamental fencing. the area of the garden is 200 square feet. what are the dimensions of the garden?
Answers
The perimeter is equal to 60 feet and has the formula:
Perimeter = 2 l + 2 w
60 = 2 l + 2 w
The area is equal to 200 square feet and has the formula:
Area = l w
200 = l w
Rewriting area in terms of l:
l = 200 / w
Combining this with the perimeter formula:
60 = 2 (200 / w) + 2 w
60 = 400 / w + 2 w
Multiplying all by w:
60 w = 400 + 2 w^2
Dividing by 2 and rearranging:
w^2 – 30 w = - 200
Completing the square:
(w – 15)^2 = - 200 + (-15)^2
(w – 15)^2 = 25
w – 15 = ±5
w = 10, 20
Hence the dimensions of the garden is 10 feet by 20 feet
The width and length of the rectangular garden, given an area of 200 square feet and a total available perimeter of 60 feet, are 10 feet and 20 feet respectively.
Explanation:To solve this problem, we can use the formula for the area of a rectangle, which is length × width = area, and the perimeter of a rectangle, which is 2(length + width) = perimeter. We know the total perimeter available (which is the ornamental fencing) is 60 feet and the area is 200 square feet.
Let's denote the length of the rectangle as L and the width as W. We can then set up these two equations:
2L + 2W = 60L × W = 200We can simplify the first equation to get L + W = 30 and then isolate either L or W to substitute into the area equation. Let's isolate L to get L = 30 - W.
We then substitute this into the area equation to get: (30 - W)W = 200. Solving this quadratic equation, the possible solutions are W=10 and W=20. However, if W=20, that would leave 0 feet for the length, which is not possible. Therefore, we have W=10 and L=20.
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Find (x - 6)2
a. x2 + 12x + 36
b. x2 - 12x + 36
c. x2 + 6x + 36
s. x2 - 6x + 36
Answers
(x-6)^2= 2x +12x +36
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid. T. A. =
Answers
Answer:
[tex](24\sqrt{3}+72)\text{ square unit}[/tex]
Step-by-step explanation:
Since, the area of a regular hexagon is,
[tex]A=\frac{3\sqrt{3}}{2}a^2[/tex]
Where, a is the side of the hexagon,
Here, the base of the pyramid is a regular hexagon having side length,
a = 4 unit,
Thus, the base area of the pyramid is,
[tex]A_B=\frac{3\sqrt{3}}{2}(4)^2[/tex]
[tex]=\frac{48\sqrt{3}}{2}[/tex]
[tex]=24\sqrt{3}\text{ square unit}[/tex]
Now, the lateral face of the pyramid is a triangle having base = 4 unit and height = 6 unit,
Also, a hexagonal pyramid has 6 triangular faces,
So, the total lateral area of the pyramid is,
[tex]A_L=6\times \frac{1}{2}\times 4\times 6[/tex]
[tex]=\frac{144}{2}[/tex]
[tex]=72\text{ square unit}[/tex]
Hence, the total area of the pyramid is,
[tex]T.A.=A_B+A_L[/tex]
[tex]=(24\sqrt{3}+72)\text{ square unit}[/tex]
Answer:
[tex]24\sqrt3+72[/tex] Square units
Step-by-step explanation:
We are given that a pyramid which has a regular hexagonal base.
Side length of hexagonal base=Base of triangular face=4 units
Height of triangle=6 units
We have to find total area of the pyramid.
The total area of pyramid=[tex]A_B+A_L[/tex]
Where [tex]A_B[/tex]=Base area
[tex]A_L[/tex]=Lateral area
Area of hexagonal base=[tex]\frac{3\sqrt3}{2}a^2[/tex]
Where a= Side length
Now, area of hexagonal base=[tex]\frac{3\sqrt3}{2}(4)^2=24\sqrt3[/tex] square units
Area of triangular face=[tex]\frac{1}{2}\times base\times height=\frac{1}{2}\times 6\times 4=12[/tex] square units
In pyramid , there are 6 triangular faces.
Therefore, lateral area of pyramid=[tex]6\times 12=72[/tex] square units
Substitute the values in the given formula then, we get
Total lateral area of given pyramid=[tex]24\sqrt3+72[/tex] Square units
Write an equation of the line passing through the point A(2, 0) that is parallel to the line y = 3x−5 .
Answers
In order for lines to be parallel to each other, they need to have the same slope. So, let's plug in the points and slope for point-slope form.
The equation for point-slope form is: y-y1 = m (x-x1)
Let's plug in the points into the equation.
y-5 = m (x-0), and then let's plug in the slope for "m" : y-5 = 3 (x-0).
After plugging the numbers in, the equation is simplified to y-5 = 3 (x-0). Then distribute the 3 to the parenthesis. y-5 = 3x. To get y by itself, you need to add 5 to both sides. After that, the equation parallel to that equation is: y = 3x + 5.
Hope this helps! =)
The equation of the line passing through the point A (2, 0) that is parallel to the line y = 3x - 5 is y = 3x - 6.
To find the equation of a line parallel to the line y = 3x - 5 and passing through point A (2, 0), we can use the fact that parallel lines have the same slope.
The given line has a slope of m = 3. Therefore, any line parallel to it will also have a slope of m = 3.
Now, using the point-slope form of the equation of a line, which is:
[tex]\[ y - y_1 = m(x - x_1) \][/tex]
where m is the slope of the line and [tex](x_1, y_1)[/tex] is a point on the line, we can substitute the values we know:
For point A (2, 0):
[tex]x_1[/tex] = 2
[tex]y_1[/tex] = 0
Slope m = 3
The equation becomes:
y - 0 = 3 (x - 2)
y = 3x - 6
This line has the same slope as the given line, y = 3x - 5, and passes through the point A (2, 0). Therefore, it is parallel to the given line and passes through the given point.
Which of the following is important in a two-column proof?
A.) a list of all theorems
B.) staircase Logic
C.) order
D.) detailed explanations for each step
Answers
What is the intersection of planes ADE and BEA?
a.) Plane BED
b.) Plane ABC
c.) Line BD
d.) Line AE
Answers
Answer:
d.) Line AE
Step-by-step explanation:
We have been given a diagram. We are asked to find the intersection of planes ADE and BEA.
Upon looking at our given diagram, we can see that both planes intersect only at two points that are point A and E respectively.
We can also see that the line AE is a common side of both planes, therefore, line AE is the intersection of planes ADE and BEA.
Only four countries have not officially adopted the metric system
True or false?
Answers
Answer:
true
Step-by-step explanation:
The functions f(x) and g(x) are described below: f(x) = 7x + 9 g(x) = 7x − 4 The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units.
Answers
You can find this by simply adding the y intercepts of both functions.
Thus 9+4 = 13
What is the solution to the system of equations?
2x – y = 7
y = 2x + 3
(2, 3)
(2, 7)
no solution
infinite number of solutions
Answers
Consider
2x – y = 7
y = 2x + 3
Subst. 2x+3 for y in the first equation: 2x - (2x + 3) = 7
This boils down to 0 + 3 = 7, which simply is not true and can never be true.
Thus, this system of equations has no solution.
Answer:
The system of x and y is no solutions.
C is correct
Step-by-step explanation:
Given: System of equation
[tex]2x-y=7[/tex]
[tex]y=2x+3[/tex]
We have system of equation and to solve for x
Using substitution method to solve for x and y
Substitute y=2x+33 into 2x-y=7
[tex]2x-(2x+33)=7[/tex]
[tex]2x-2x-33=7[/tex]
[tex]-33\neq 7[/tex]
-33 is not equal to 7.
We didn't get the value of x.
No solution for x and y
Hence, The system of x and y is no solutions.
Which of the following is the solution set of the given equation?
14 + 8m = 14 - 3m - 5m
A.) Ø
B.) {0}
C.) {all reals}
Answers
This graph shows the costs of purchasing two types of laundry detergent.
Which statement is true?
a.) Detergent A is less expensive than Detergent B.
b.) Detergent B is less expensive than Detergent A.
c.) Detergent A and Detergent B cost about the same.
Answers
Answer:
the other person is correct
Step-by-step explanation:
Please Help!!!
In isosceles triangle ∆ABC with base
BC
draw the median
AM
. Find AM, if the perimeter of ∆ABC is 32 cm and perimeter of ∆ABM is 24 cm.
Answers
I'm not going to show you a drawing of triangle ABC with the line AM, but will describe the solution.
Since the triangle is an isosceles triangle, you know that the sides AB and AC have the same length. And since point M is the median of line segment, you know that the length of BM is half the length of BC. With that in mind, let's write down some equations.
The perimeter of triangle ABC is 32, so
32 = AB + AC + BC
And since it's an isosceles triangle, we can simplify the equation to
32 = 2AB + BC
Now we know the perimeter of triangle ABM is 24, so
24 = AB + BM + AM
And since BM is half the length of BC, let's substitute that value, so
24 = AB + BC/2 + AM
Now looking at the two equations, you'll notice that "AB + BC/2" is exactly half of the value of the equation for the perimeter of ABC. So let's take that equation and divide it by 2, giving:
32 = 2AB + BC
16 = AB + BC/2
And subtract that equation from the equation for the perimeter of ABM
24 = AB + BC/2 + AM
minus
16 = AB + BC/2
equals
8 = AM
So the length of line segment AM is 8.
A theater has 500 seats. Three-fourths of the seats are filled. How many seats are filled?
Answers
500 / 75% or 500 * 0.75 = 375
So, your answer would be that 75% of the seats were taken out of the total of 500 seats. Which would be 375 seats were taken out of 500 seats in total.
Hope this helps.
~ ShadowXReaper069
Darryl has $5 left in his pocket. He spent $16 on a book, $20 on a compact disc, and $2 on a magazine. How much money did he have at the beginning of the day?
Answers
Answer:
He had a total of $43 at the beginning of the day
Step-by-step explanation:
Step 1
Express the amount of money Darryl had in the beginning as follows;
A=E+R
where;
A=initial amount he had at the beginning
E=total expenditure
R=total remainder after spending
In our case;
A=unknown
E=Amount spent on book+amount spent on compact disc+amount spent on magazine
E=(16+20+2)=$38
R=$5
Step 2
Substitute the values in the expression and solve for A;
A=(38+5)=43
He had a total of $43 at the beginning of the day
Some of the steps in the derivation of the quadratic formula are shown. Step 4: Step 5: Step 6: Step 7: Which best explains why the expression cannot be rewritten as during the next step? Negative values, like −4ac, do not have a square root. The ± symbol prevents the square root from being evaluated. The square root of terms separated by addition and subtraction cannot be calculated individually. The entire term b2 − 4ac must be divided by 2a before its square root can be determined.
Answers
Answer:c
Step-by-step explanation:
The answer is the square root of terms separated by addition and subtraction cannot be calculated individually.
To find expression cannot be rewritten as during the next step and explain.
What is expression?Algebraic expressions are combinations of variables , numbers, and at least one arithmetic operation.
The statement that best explains why the expression cannot be rewritten as during the next step is that the square root of terms separated by addition and subtraction cannot be calculated individually.
So, the square root of terms separated by addition and subtraction cannot be calculated individually.
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What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
13.4 units
17.9 units
26.8 units
40.0 units
Answers
see the attached figure to better understand the problem
Let
x------> the length side of a rectangle
y-------> the width side of a rectangle
we know that
the perimeter of a rectangle is equal to the formula
[tex]P=2x+2y[/tex]
in this problem
[tex]AB=DC=x[/tex]
[tex]AD=BC=y[/tex]
Step 1
Find the distance AB
[tex]A(-6,4)\\B(2,8)[/tex]
we know that
the distance's formula between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}[/tex]
substitute the values
[tex]d=\sqrt{(8-4)^{2} +(2+6)^{2}}[/tex]
[tex]d=\sqrt{(4)^{2} +(8)^{2}}[/tex]
[tex]dAB=\sqrt{80}\ units[/tex]
Step 2
Find the distance BC
tex]B(2,8)\\C(4,4)[/tex]
we know that
the distance's formula between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}[/tex]
substitute the values
[tex]d=\sqrt{(4-8)^{2} +(4-2)^{2}}[/tex]
[tex]d=\sqrt{(-4)^{2} +(2)^{2}}[/tex]
[tex]dBC=\sqrt{20}\ units[/tex]
Step 3
Find the perimeter
we know that
the perimeter of a rectangle is equal to the formula
[tex]P=2x+2y[/tex]
[tex]P=2AB+2BC[/tex]
we have
[tex]dAB=\sqrt{80}\ units=8.9\ units[/tex]
[tex]dBC=\sqrt{20}\ units=4.5\ units[/tex]
substitute the values of the distance in the formula
[tex]P=2*8.9+2*4.5=26.8\ units[/tex]
therefore
the answer is
The perimeter of the rectangle is equal to [tex]26.8\ units[/tex]
Use the formula to evaluate the series 3+6+12+24+48+96
Answers
Ms. Harris is stocking up on dry-erase markers for the upcoming school year. She used 56 dry-erase markers last year and plans to use at least that many for next year. The number of markers in each box is two more than three times the number of boxes she purchased for this upcoming school year.
Which of the following inequalities can be used to determine b, the number of boxes she purchased.
Answers
Answer:
[tex]3b^2+2b\geq 56[/tex]
Step-by-step explanation:
Here, b represents the number of boxes she purchased for this upcoming school year,
Also, The number of markers in each box is two more than three times the number of boxes she purchased for this upcoming school year.
⇒ The number of marker in each box = 3b+2
Now, the total number of marker = Number of boxes × Number of marker in each box
[tex]=b\times (3b+2)[/tex]
[tex]=3b^2+2b[/tex]
Since, she plan to use at least 56 marker in the upcoming year,
That is, the total number of marker ≥ 56
[tex]\implies 3b^2+2b\geq 56[/tex]
Which is the required inequality that shows the given situation.
Which linear inequality is represented by the graph?
A) y > 2/3x - 2
B) y < 2/3x + 2
C) y > 2/3x + 1
D) y < 2/3x - 1
I NEED THE ANSWER ASAP ‼️
Answers
A cashier always starts the day with $60 in pennies, nickels, dimes, and quarters. She begins with five times as many pennies as quarters, and the number of nickels and dimes are both twice the number of quarters. How many pennies does she start with?
6 pennies
26 pennies
100 pennies
500 pennies
Answers
500 pennies= $5
1/5 of 500 is 100 quarters, which is $25
There are 2x as many dimes an nickels are there are quarters, so 200 dimes (which is $20) and 200 nickels is $10.
5 + 25 + 20 + 10 = $60
Imran and Aubrey were asked to find an explicit formula for the sequence 14,5,-4,-13...
Imran said the formula is g(n)=14-9(n-1)
Aubrey said the formula is g(n)=14-9n
Which one of them is right?
Just Irman
Just Aubrey
Both
Neither
PLEASE HELP ASAP!!!
Answers
Answer with Step-by-step explanation:
An explicit formula for the sequence
14,5,-4,-13...
given by Imran is g(n)=14-9(n-1)
and by Aubrey is g(n)=14-9n
We have to determine who is right
g(n)= 14-9n
g(1)=14-9
= 5
Hence, formula given by Aubrey is wrong
g(n)=14-9(n-1)
g(1)=14-9(0)=14
g(2)=14-9(1)=5
g(3)=14-9(2)= -4
g(4)=14-9(3)= -13
Hence, formula given by Imran is correct
Hence, correct option is:
Just Imran
Answer:
Only Imran
Step-by-step explanation:
An airplane traveled 1,991.25 kilometers at an average speed of 885 kilometers per hour. How long did it take for the airplane to travel this distance? hours and minutes
Answers
Answer:
It took 2 hours and 15 minutes for the airplane to travel 1,991.25 Km
Step-by-step explanation:
In order to find the time, you need to use the fact that average speed = distance traveled/time taken, the problem gives you that the distance traveled is equal to 1,991.25 Km and the average speed is 885 Km/h.
So, you use these values to find the time taken as follows:
[tex]time = \frac{distance}{speed}=\frac{1991.25 km}{885 \frac{km}{h}} = 2.25 h[/tex]
2.25 is a number made by two parts: integer-part and fractional-part.
The integer-part is equal to 2 hours.
The 0.25 is the fractional-part and corresponds to the minutes. 0.25 in fraction is [tex]0.25 = \frac{1}{4}[/tex], the hour has 60 minutes, so when you divided by [tex]\frac{1}{4}[/tex] you the get 15 minutes.