Answers
Given:
The expressions are:
[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}[/tex]
[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}[/tex]
To find:
The simplified form of the given expressions.
Solution:
We have,
[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}[/tex]
It can be written as:
[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{12a^{2+1}bc^3}{40b^4c^2}[/tex]
[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{3a^{3}c^{3-2}}{10b^{4-1}}[/tex]
[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{3a^{3}c^{1}}{10b^3}[/tex]
Therefore, the value of the given expression is [tex]\dfrac{3a^{3}c}{10b^3}[/tex].
We have,
[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}[/tex]
It can be written as:
[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}=\dfrac{(x+y)(x-y)}{4(x+y)}\cdot \dfrac{x+y}{x-y}[/tex]
[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}=\dfrac{x+y}{4}[/tex]
Therefore, the value of the given expression is [tex]\dfrac{x+y}{4}[/tex].
Related Questions
XXX
X
х
3
4
? 11 14 1 13
Worm Length (inches)
?
inch
?
DONE
AZ
539 Complete
Answers
Answer:
I can't able to understand this question plz check this question if it is right or not
Alicia Bitman, age 30, plans to purchase a $200,000, 5-year term life insurance policy. What is the annual premium?
Answers
Answer: $770
Step-by-step explanation:
Number of units to be purchased by Alicia:
= 200,000 / 1,000
= 200 units
Alicia is purchasing a 5-year term life insurance policy. At age 30, the cost per $1,000 unit of insurance is $3.85 for a female.
The formula for the annual premium is:
= Number of units purchased * Premium per $1,000
= 200 * 3.85
= $770
Select all the figures that are shaded to represent 60% of the whole. Whoever answers correctly and first will be marked as brainliest!!!!
Answers
Answer:
the first one
Step-by-step explanation:
PLEASE HELP ME ON THIS QUESTION ASAP!!!!! No linksssss
Answers
Answer
i think the answer is c but i dont know good luck
Step-by-step explanation:
To factor 9x2 - 4, you can first rewrite the expression as:
Answers
Answer:
Option C is correct.
(3x)² - 2²
Answer: It is D or C
Step-by-step
I think it is D or C because 9 times 2 is 18. 18 minus 4 is 14. And all the other equations equal something else. The first one is 3- 2times 2 and that is 4 so that would be one. The second is x minus 4 that would be 8. Then the next would be 9 minus 4. That is 5 so it is either C or D.
Find the minimum or maximum value of the function. What is the H? (Desmos)
Answers
Answer:
Minimum: (2,4)
Step-by-step explanation:
h(x)=3([tex]x^{2}[/tex]-4x)+16
=3([tex]x^{2}[/tex]-4x+4-4)+16 (- For the balance of equation, and attention 1)
=3[tex](x-2)^{2}[/tex]-3*4+16
=3[tex](x-2)^{2}[/tex]+4
Attention:1. [tex](a-b)^{2}=a^{2} -2ab+b^{2}[/tex]
2. The formula for the vertex form is y = [tex]a(x-h)^{2}+k[/tex], the vertex is (h,k)
A box is to be wrapped in a red decorative paper. The box is 9 inches long, 5 inches wide and 4 inches high. What is the minimum amount of decorative paper needed to cover the box? *
Answers
SA= 2 (4)(5) + 2(5)(9) + 2(4)(9)
SA= 202in^2
If the box contains confetti, how much cubic inches of confetti are needed to fill the box?
V= lwh
= 4*5*9
= 180 in^3
Factor the expression completely. 12X+18
Answers
Answer:
6(2x+3)
Step-by-step explanation:
There's really no way to explain this. Take the number that all of the numbers in the equation can be divisible by and then single it out and then yeah.
Hope this helped! :)
(i’ll be giving brainiest for those who provide the correct answer and those who don’t leave a link.) “a parallelogram has one side that is 4 centimeters long and one side that is 6 centimeters long. what is the perimeter of the parallelogram?”
Answers
Answer:
20
Step-by-step explanation:
4+4+6+6=20
(JUST WHAT SHE SAID)(SORRY FOR THE CAPS HERE)
Are there outliers in the set of data below? Hint: Use your formulas from the lesson
52, 58, 62, 66, 67, 68, 68, 70, 70, 72, 73, 74, 76, 84, 90
Question 1 options:
52 and 90
68 and 70
There are no outliers
pls help
Answers
The absolute value any equality below has two answers. Select the correct choice
Answers
Answer: A
m<8 and m>-8
Answer:
A
Step-by-step explanation:
m will already be less than 8 if it is positive, and if m is actually negative, the absolute value will be positive anyways. that being said, the second value is greater than -8.
Image is above
What is the area?
15 cm
20 cm
square centimeters
Answers
So basically you would do 20x15 and get the answer
A cylindrical tank holds 352 cu. ft. of water. The height of the tank is 7 ft. Find the
radius of the tank.
pls help me thx and show your work
Answers
Answer:
0.3334 ft
Step-by-step explanation:
Measure the height and radius of the tank. The radius is the distance from the center of the tank to its outer edge. Another way to find the radius is to divide the diameter, or width, by two. Square the radius by multiplying the radius times itself and then multiply it by 3.1416, which is the constant pi.
Given height and volume: r = √(V / (π * h)),Given height and lateral area: r = A_l / (2 * π * h),Given height and total area: r = (√(h² + 2 * A / π) - h) / 2,Given height and diagonal: r = √(h² + d²) / 2,Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2),Given volume and lateral area: r = 2 * V / A_l,Given base area: r = √(A_b / (2 * π)),Given lateral area and total area: r = √((A - A_l) / (2 * π)).3 Write down the gradient of each line segment.
Answers
Answer:
One on the left = -1
One on the right = 1/3
Step-by-step explanation:
[tex]slope=\frac{rise}{run}[/tex]
One on the left = [tex]\frac{-3}{3} =-1[/tex]
One on the right = [tex]\frac{1}{3} =\frac{1}{3}[/tex]
The gradient of the first line and the second line will be 1 and 1/3, respectively.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The gradient of the first line is given as,
m = 3 / 3
m = 1
The gradient of the second line is given as,
m = 1 / 3
The gradient of the first line and the second line will be 1 and 1/3, respectively.
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ2
HEY LOL PLEASE ANSWER THESE. PLEASE IM BEGGING YOU. HELP ME
Answers
Answer:
a. ∆ABC ~ ∆A'B'C'
b. Enlargement
c. Scale factor = 4
Step-by-step explanation:
a. <A corresponds to <A'
<B corresponds to <B'
<C corresponds to <C',
Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'
b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.
c. Scale factor = the ratio of the corresponding sides
Thus:
Scale factor = A'B'/AB = B'C'/BC = A'C'/AC
Scale factor = 24/6 = 48/12 = 60/15 = 4
Scale factor = 4
Mario paid $44.25 in taxi fare from the hotel to
the airport. The cab charged $2.25 for the first
mile plus $3.50 for each additional mile. How
many miles was it from the hotel to the airport?
A. 10
B. 11
C. 12
D. 13
Answers
Answer:
C. 12
hope they help
first mile $2.25 plus $3.50 ×12= $42.00+2.25=44.25
A bathtub holds 525,000 mL of water. How many liters is this? O A 52.5 L B 525 L o c. 5.250 L O D. 52,500 L
Answers
Answer:
B. 525 L
Step-by-step explanation:
Find the lateral area of this square
based pyramid.
10 in
5 in
[ ? ] in
Answers
Answer:
100in
Step-by-step explanation:
1/2 *10*5=25
4(25)=100
Last year the highest temperature in a city was recorded as 23C and the lowest temperature was recorded as -10C how many degree warmer was the highest temperature than the lowest temperature
Answers
Answer:
The highest temperature was 33C warmer than the lowest temperature.
Step-by-step explanation:
In order to find how many degrees warmer was the highest temperature, you have to calculate the difference between both temperatures:
23-(-10)
According to the sign rule, you have to change the subtraction sign to addition and then, change the sign on the umber after that and add the numbers, which is:
23+10=33
According to this, the answer is that the highest temperature was 33C warmer than the lowest temperature.
HELPPP ME PLSSS AND NO BOTS BC I WILL REPORT AND I BARELY HAVE POINT SO PLS HELP ME
Answers
Answer: 52 1/2 inches. Draw a vertical line up from the 20 week marker and where that line intersects the slanted red line and. Then take a straight edge and draw a line parallel to the "week" line on the bottom of the graph from the intersection to intersect the height line. Where the second line crosses the height line that number is the height of the plant at 20 weeks.
Look at the triangle: A right angle triangle is shown with hypotenuse equal to 17 centimeters. An acute angle of the triangle is labeled as x degrees What is the value of cos x°? (1 point) 8 ÷ 17 17 ÷ 8 15 ÷ 17 8 ÷ 15 I can't put in the photo. So, description. h- 17cm o- 8cm a- 15cm. This is a right triangle btw. (this is 9th grade work)
Answers
Answer:
15 ÷ 17
Step-by-step explanation:
Since our hypotenuse side is 17 cm, our opposite side is 8 cm and our adjacent side is 15 cm. Since the acute angle is x degrees,
From trigonometric ratios, cosx° = adjacent/hypotenuse
= 15 cm/17 cm
= 15/17
= 15 ÷ 17
What is the area of the triangle in square yards?
6 yd.
15 3/4 yd.
hurry plss
Answers
Answer:
im guessing 6 is your base and your height is 15 3/4.
Formula of a triangle we must remember:
BH x 1/2 (basically dividing by 2)
94.5 (fraction form will be: 94 1/2)
94.5 divided by 2 = 47.25 <---------- decimal form
94 1/2 divided by 2 = 47 1/4 <------- fraction form
(x+4)² + (y-6)² = 48
Answers
Answer:
Step-by-step explanation:
This is the equation of a circle with center at (-4, 6) and radius 4√3.
Which statement is true about a trend line? A regression line and a trend line are opposite terms. A regression line and trend line are equivalent terms. A trend line represents only the smallest data points. A trend line represents only the largest data points.
Answers
Answer:
A is incorrect! B. should be the correct answer
Step-by-step explanation
After some research, i found that the correct answer is most likely B. a regression line and trend line are equivalent terms
A trendline and a regression can be the same.
A regression line is based upon the best fitting curve Y= a + bX Most often it’s a least-squares fit (where the squared distances from the points to the line (along the Y-axis) is minimized).
It can be quadratic or logistic or otherwise, but most often it is linear.
A trendline is often constructed by smoothing of the results, making it less peaked. (often by using a moving average); but can also come from ARIMA projections or curve fitting techniques (such as regression).
Let me know if i helped you!
The statement that is true about a trend line is B. A regression line and trend line are equivalent terms.
It should be noted that the trend line doesn't represent only the largest data points. It can also represent the smallest data points.
The regression line and the trend line are not opposite terms but rather, the regression line and trend line are equivalent terms.
In conclusion, the correct option is B.
Read related link on:
https://brainly.com/question/20937091
Can someone help me with these two questions?PLS
Answers
because all u need to do is to just move x to one side and the numbers to the other side
Answer:
One
Step-by-step explanation:
3x-5=-3 add 5 to each side.
3x-5+5=-3+5 simplify.
3x=2 divide each side by three.
3x/3=2/3 simplify
x=2/3
- Which is the inverse or the funcion f(x)=x²-16?
Answers
Given:
The function is:
[tex]f(x)=x^2-16[/tex]
To find:
The inverse of the function.
Solution:
We have,
[tex]f(x)=x^2-16[/tex]
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=x^2-16[/tex]
Step 2: Interchange x and y.
[tex]x=y^2-16[/tex]
Step 3: Isolate y.
[tex]x+16=y^2[/tex]
[tex]\pm \sqrt{x+16}=y[/tex]
[tex]y=\pm \sqrt{x+16}[/tex]
Step 4: Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex]
Therefore, the inverse function of the given function is [tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex].
rectangle has its vertices at M(1,1), N(6,1), O(6,5), P(1,5). The rectangle is translated to the left 4 units and down 3 units. What are the new coordinates? (Answer Format: M(#,#) N(#,#) O(#,#) P(#,#))
Answers
Answer:
7aabbbjdkdbdjdkxbsks n sbs
This is due in 15 minutes help.
Answers
The probability that the next student he sees will be a boy with brown eyes is 25%. All of them are the exact same so 100 divided by 4 is 25.
Will mark brain list
Answers
Graph y=\dfrac{2}{7}\,xy= 7 2 xy, equals, start fraction, 2, divided by, 7, end fraction, x.
Answers
Answer:
The answer is A, C, and D
The graph should be 7 units for x and 2 units for y.
Step-by-step explanation:
Full Question: Graph y = 2/7x
Look at attachment:
Hope this helps! :)
The graph of the linear function y = (2/7)x will be given below.
What is the graph of the function?The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The function is given below.
y = (2/7)x
Compare the function with standard equation of the line,
Then the slope of the function is 2/7 and the y-intercept is zero, that means the line is passing through origin.
Then the graph of the linear function y = (2/7)x will be given below.
More about the graph of the function link is given below.
https://brainly.com/question/9834848
#SPJ2