Answer:
the answer is D
The quotient of the given function is [tex]\frac{\sqrt{3}}{2}[/tex]
Given the radical function
[tex]\dfrac{3\sqrt{8} }{4\sqrt{6} }[/tex]Rationalizing the denominator:
[tex]= \dfrac{3\sqrt{8} }{4\sqrt{6} } \times \dfrac{\sqrt{6} }{\sqrt{6} }\\= \dfrac{3\sqrt{8} (\sqrt{6}) }{4\sqrt{6} \cdot \sqrt{6}}\\[/tex]
Multiplying the numerator and denominator:
[tex]=\dfrac{3\sqrt {48}}{4(6)} \\=\dfrac{3(4\sqrt{3})}{24} \\=\dfrac{4\sqrt{3}}{8} \\=\dfrac{\sqrt{3}}{2}[/tex]
Hence the quotient of the given function is [tex]\frac{\sqrt{3}}{2}[/tex]
Learn more on surd function here: https://brainly.com/question/11852465
can someone please help me with this
Answer:
The solution is attached up.
19. Bella is putting down patches of sod
to start a new lawn. She has 20 square
yards of sod. Give the dimensions of two
different rectangular regions that she can
cover with the sod. What is the perimeter
of each region?
Answer:
The dimensions of the two different rectangular regions are;
1st Arrangement:
W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards
2nd Arrangement:
W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards
The perimeter of the two different rectangular regions are;
1st Arrangement:
P₁ = 18 yards
2nd Arrangement:
P₂ = 24 yards
Step-by-step explanation:
Bella is putting down patches of sod to start a new lawn.
She has 20 square yards of sod.
We are asked to provide the dimensions of two different rectangular regions that she can cover with the sod.
Recall that a rectangle has an area given by
Area = W*L
Where W is the width of the rectangle and and L is the length of the rectangle.
Since Bella has 20 square yards of sod,
20 = W*L
There are more than two such possible rectangular arrangements.
Out of them, two different possible arrangements are;
1st Arrangement:
20 = (4)*(5) = (5)*(4)
Width is 4 yards and length is 5 yards or width is 5 yards and length is 4 yards
2nd Arrangement:
20 = (2)*(10) = (10)*(2)
Width is 2 yards and length is 10 yards or width is 10 yards and length is 2 yards
Therefore, the dimensions of two different rectangular regions are;
1st Arrangement:
W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards
2nd Arrangement:
W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards
What is the perimeter of each region?
The perimeter of a rectangular shape is given by
P = 2(W + L)
Where W is the width of the rectangle and and L is the length of the rectangle.
The perimeter of the 1st arrangement is
P₁ = 2(4 + 5)
P₁ = 2(9)
P₁ = 18 yards
The perimeter of the 2nd arrangement is
P₂ = 2(2 + 10)
P₂ = 2(12)
P₂ = 24 yards
So the perimeter of the 1st arrangement is 18 yards and the perimeter of the 2nd arrangement is 24 yards.
Note:
Another possible arrangement is,
20 = (1)*(20) = (20)*(1)
Width is 1 yard and length is 20 yards or width is 20 yards and length is 1 yard.
What is 22/209 in lowest terms?
Answer:2/19
Step-by-step explanation:
Taj has a choice of water, iced tea, or lemonade; with lemon or lime twist; served in a small or large glass. how many more choices will he have if the drink can be served with or without a straw? Explain in the spaces below
Total number of choices with a straw:
Total number of choices without a straw:
Explain why there are more choices with on over the other:
Answer:
Total number of choices with a straw: 12
Total number of choices without a straw: 12
Total number of choices: 24
Step-by-step explanation:
Taj has a choice of:
water, iced tea, or lemonade (3 options)with lemon or lime twist (2 options)served in a small or large glass (2 options)This made a total of 3*2*2: 12 different choices
if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24
Paulo works part time in a store every month. His monthly salary increases by the same amount every year. Three years ago, Paulo's monthly salary was two thousand seven hundred eighty-three dollars. Twelve years from now Paulo's monthly salary will be approximately eight thousand thirty-eight dollars. What will Paulo’s monthly salary be this year? Show all of your mathematical thinking.
Answer: [tex]\$3834[/tex]
Step-by-step explanation:
Three years ago Paulo's monthly salary was [tex]\$2783[/tex]
Twelve years from now Paulo's salary will be [tex]\$8038[/tex]
Suppose current salary is [tex]\$ x[/tex]
and Yearly increment is [tex]\$y[/tex]
So,
[tex]\Rightarrow x-3y=2783\quad \ldots(i)[/tex]
and [tex]\Rightarrow x+12y=8038\quad \ldots(ii)[/tex]
From (i) and (ii) we get
[tex]\Rightarrow 15y=5255[/tex]
[tex]\Rightarrow y=350.33[/tex]
and [tex]x=2783+3\times 350.33[/tex]
[tex]x=3834[/tex]
So, monthly salary this year is [tex]\$3834[/tex]
What is the center and the radius of a circle given by the equation x2 + y2 + 4x - 10y + 20 = 0?
Answer:
C) Center= (-2,5) and r=3
Step-by-step explanation:
A dress was reduced from $180 to $162.
Express the discount as a % of the original price.
Answer: 90%
Step-by-step explanation:
When 180 is multiplied by 0.90, representing 90%, you get 162 :) So the item was discounted by 10% and is now 90% of it's initial amount
Answer: The original price was discounted by 10%
Step-by-step explanation:
180-162 = 0.1
1-0.1= 0.9
0.9 * 100= 90%
100% -10%= 90%
90% * 180= 162
Find the value of x to the nearest tenth.
15.5
31.0
60.0
39.0
Answer:
15.5 ... I think.
Step-by-step explanation:
5,888,000,000,000 miles is equivalent to 1 light year. What is this number represented in scientific notation?
Answer:
5.888x10^12
Step-by-step explanation:
First you got to make the number a decimal, but it can't be above 10 or below 1. So, we end up with 5.888000000000. Then, to get rid of all the zeros, we use the x10^12. The exponent is basically how many times the decimal has to move back to the right to get the original number.
Two positive numbers have a difference of 8 and a product of 33. What are these numbers?
OA.
4 and 12
OB.
3 and 12
О С.
4 and 11
OD
3 and 11
Reset
Next
Answer:
3 and 11
Step-by-step explanation:
3 times 11 is 33
11 - 3 is 8
Find the range of 15,12,21,18,25,11,17,19,20
Answer:
25-11
Range is 14
Step-by-step explanation:
To find the range, first put your numbers in order from least to greatest. Now, subtract the smallest value from the largest value to get the range.
Answer:
14
Step-by-step explanation:
Let DE be the vector with initial point D(8, 6) and terminal point E(–1, 5). Write De as a linear combination of the vectors iand j.
Answer:
-9 - J
Step-by-step explanation:
<x2 – x1, y2 – y1>
<a, b> = ai + bj.
Enter the number that belongs in the green box.
Answer:
90°
Step-by-step explanation:
All sides of the given quadrilateral are 4 units, that is they are equal. Hence it is a RHOMBUS.
Diagonals of a rhombus bisects each other at right angles (90°).
x = 90°
Ximena bikes 20 miles from her home to her favorite lunch spot and then bikes back. She bikes
with the wind to lunch and against the wind on the way home. Her total travel time on the bike is 3.5 hours. When biking with no wind her average speed is 14 miles per hour.
1. Write and solve an equation to calculate the average speed of the wind. Show your work.
Answer:
3.5x+20
the wind is around 7mph
Step-by-step explanation:
You bought a blu-ray that cost $28.68 before tax. How much did you have to pay once the 7% sales tax was factored in?
Answer:
You had to pay $30.69 after the sales tax factored in.
Step-by-step explanation:
First step is to find 7% of $28.68.
The answer to that is the sales tax, therefore making the sales tax $2.01.
Finally, you have to add $2.01 to $28.68 to get a total of $30.69, your final answer.
William Sydney Porter tried to perform the calculation [tex]\frac{-3+4i}{1+2i}[/tex]. However, he accidentally missed the minus sign, finding [tex]\frac{3+4i}{1+2i}[/tex]=[tex]\frac{11}{5}[/tex]-[tex]\frac{2i}{5}[/tex]. What answer should he have obtained?
Answer:
1+2iStep-by-step explanation:
Given the complex number [tex]\frac{-3+4i}{1+2i}[/tex] calculated by Sydney porter, In order to know the value he should have obtained if he hadn't accidentally miss the minus sign, we will have to rationalize the original complex function.
To rationalize, we will multiply the numerator and denominator if the function by the conjugate of its denominator as shown;
[tex]\frac{-3+4i}{1+2i} *\frac{1-2i}{1-2i}\\= \frac{(-3+4i)(1-2i)}{(1+2i)(1-2i)}\\= \frac{-3+6i+4i-8i^{2} }{1-2i+2i-4i^{2} } \\= \frac{-3+10i+8}{1+4} \\note\ that\ i^{2} = -1\\= \frac{5+10i}{5} \\= \frac{5}{5} + \frac{10i}{5} \\= 1 +2i[/tex]
He should have obtained 1+2i if he hadn't misses the sign
Which of these tables represent a function?
W
X
Y
Z
Answer:
i think its x because it is not w,y,or z
Step-by-step explanation:
Answer:
It is Y
Step-by-step explanation:
plato
8/12 - 1/3 =
Please answer my question
Answer:
1/3
Step-by-step explanation:
8/12 - 4 /12=. 4/12 = 1/3. =. .33
Andy has entered a race. The participants have to run 14 meters. Andy finishes the race in 7 seconds. What is Andy's average speed? A. 2 m/s B. 5 m/s C. 25 m/s D. 4 m/s
Answer:
2m/s
Step-by-step explanation:
Speed=distance/time taken
=14/7
=2m/s
If (5^4)m = 5^12, what is the value of m?
Answer:
5⁸
Step-by-step explanation:
[tex]5^4m = 5^{12}\\\\then\\\\m = \frac{5^{12}}{5^4} \\\\then\\\\m = 5^{12-4} \\\\then\\\\m= 5^8\\\\[/tex]
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer
Answer:
9.19ftStep-by-step explanation:
The set up given will form a right angled triangle with the length of the ladder as the hypotenuse and distance between the the floor and the top of the ladder as the adjacent side to one of the acute angle 45 degrees.
Using one of the trigonometry identity to calculate How high off the ground the top of the ladder. According CAH;
cos 45° = Adjacent/Hypotenuse
cos45° = y/13
y = 13cos45°
y = 9.19ft
The ladder is 9.19ft off the ground
PLEASE HELP ASAAAP!!!!!!!q
Answer:
A:a , s:soon ,A : as,P: possible
Does any one know 7,8???
Answer:
7. (7^2)(4^2) or 49 * 16
8.18^5
Step-by-step explanation:
7. You can do that or simplify the exponents.
8. When dividing two exponents you can subtract the exponentes. *(note i didn't simplify 18^5 because it said expression, and a simplified number is not an expression.)
Answer:
7=28² 8=
Step-by-step explanation:
7=7 to the power of 2 multiplied by 4 to the power of 2
= 784
8=[tex]2^{5}[/tex] × [tex]3^{10}[/tex] = 1,889,568
The diagram shows a geometric figure on a coordinate plane. The figure is translated left two units and then reflected over the X axis, what are the ordered pairs for A' B' C'. Enter you answer in the format: (A’—,—), (B’—,—), (C’—,—)
Answer:
A'(3, 1), B'(3, -2), C'(1, -2)
Step-by-step explanation:
A(-1,1), B(-1, -2), C(1, -2)
A(-3, 1), B(-3, -2), C (-1, 2)
A'(3, 1), B'(3, -2), C'(1, -2)
A geometric figure on a coordinate plane with points. The figure is translated left two units and then reflected over the X axis. The ordered pairs of A, B, C are A (3, 1), B (3,-2), C (1, -2).
What is geometric figure?"A geometric figure is intuitively defined as a set of points and lines in space."
What is coordinate plane?"The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin. We can use the coordinate plane to graph points, lines, and more."
We have
A geometric figure on a coordinate plane with points
A = (1, -1)
B = (-1, -2)
C = (1, -2)
The figure is translated left two units and then reflected over the X axis
A drawn figure is attached to the answer
From the figure, we have
Figure is translated left two units
A = (-3 ,1)
B = (-3, -2)
C = (-1, -2)
Then the figure is reflected over x-axis
A = (3, 1)
B = (3,-2)
C = (1, -2)
Hence, The figure is translated left two units and then reflected over the X axis. The ordered pairs of A, B, C are A (3, 1), B (3,-2), C (1, -2).
Learn more about geometric figure and coordinate plane here
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What is the input value for the following function if the output value is 1.2?
y = x - 0.4
a. 0.8
b. 8.4
c. 1.6
d. 4.2
What is b’c the length of bc after dilation? What is the measure of
Answer:
C
Step-by-step explanation:
the angle will always stay the same, it won't change
but if the dialation is 1/2, then that means that the sides will decrease in size compared to the original length,
(just divide by 2) on each side length to get the answer
PLZ HELP ME QUICKLY!!!!!!!!
Plot and connect the points A (-4, -3), B (4, -3), C (4, -7), D (-4, -7), and find the length of AB.
A.
6 units
B.
10 units
C.
7 units
D.
8 units
Answer:
D. 8 units
Step-by-step explanation:
I chose that answer because -4 is 4 units away from 0 then you need to get to 4 so you add 4 more units and 4 + 4 is 8 so that means it's 8 units away
Answer:
C
Step-by-step explanation:
Using the Law of Sine or Cosine, solve for the unknown variable (round to the
nearest tenth)
HELP QUICK PLEASE
Answer:
33.18208
Step-by-step explanation:
This can be solved via Law of Sines, but I´m gonna use sines for the sake of efficiency. :P
So, you have your 3 values and unknown length x.
First set up your proportions: [tex]\frac{sin(65)}{x}=\frac{sin(35)}{21}[/tex]
Cross multiply. [tex]x=\frac{21sin(65)}{sin(35)}[/tex]
Simplify. [tex]x=33.18208[/tex]
1. Solve and show your work for each question.
(a) What is expressed as a fraction in simplest form?
(b) What is expressed as a fraction in simplest form?
(c) What is expressed as a fraction in simplest form?
Answer:
2. Jaclyn estimates the square root of 50 in the following way:
[tex]\sqrt{50} = 2\sqrt{25} = 2 ( ) 5 = 10
(a) Explain why her reasoning is incorrect.
(b) Estimate the square root of 50 to the nearest tenth without using your calculator. Show your work.
Answer:
3. Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
[tex]\pi , \sqrt{3} , \sqrt{2} , \sqrt{3} , \sqrt{5}[/tex]
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(b) Order the ribbon sizes from least to greatest.
Answer:
Jena walks 6 miles. Karla walks 3 times as far as jena. Which expression shows how many miles karla walks?
Answer:
3 * 6
Step-by-step explanation:
3 times of Jena is 3 * 6