Which choice is equivalent to the expression below when y2 0?
√y^2 + √16y^3 – 4y√y
Answers
Answer:
Option C.
Step-by-step explanation:
We start with the expression:
[tex]\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}[/tex]
where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)
We want to find the equivalent expression to this one.
Here, we can do the next two simplifications:
[tex]\sqrt{16*y^3} = \sqrt{16} \sqrt{y^3} = 4*\sqrt{y^3}[/tex]
And:
[tex]y*\sqrt{y} = \sqrt{y^2} *\sqrt{y} = \sqrt{y^2*y} = \sqrt{y^3}[/tex]
If we apply these two to our initial expression, we can rewrite it as:
[tex]\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}[/tex]
[tex]\sqrt{y^3} + 4*\sqrt{y^3} - 4\sqrt{y^3} = \sqrt{y^3}[/tex]
Here we can use the second simplification again, to rewrite:
[tex]\sqrt{y^3} = y*\sqrt{y}[/tex]
So, concluding, we have:
[tex]\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y} = y*\sqrt{y}[/tex]
Then the correct option is C.
Answer:
C:YsqrtY
Step-by-step explanation:
A P E X:L E A R N I N G
Related Questions
Jackie And her friends of their favorite organization. Jackie received four times the votes warren received .there were 200 ballots cast how many votes did Jackie receive
Answers
Answer:
800
Step-by-step explanation:
please help me!! i have no clue what i am doing on this one.
Answers
Answer:
yr answer is G. 21
stay safe healthy and happy..log 2 (24) - log 2 (3) = log 5 (x)
log 2 (24 / 3) = log 5 (x)
log 2 (8) = log 5 (x)
log 2 (2^3) = log 5 (x)
3 × log 2 (2) = log 5 (x)
3 × 1 = log 5 (x)
3 = log 5 (x)
x = 5^3
x = 125
WHAT IS 8901 times 45378 Noo linkes
Answers
Answer:
403909578
Step-by-step explanation:
Hey, i know this is a lot, but I'm offering 100 points and a brainliest
Please, and thanks in advance :)
Answers
Step-by-step explanation:
Q4. A &B : 10m-16 & 2(5m-8)
Q7. 8a-(-3-5a)-2a
step 1 is error
it should be:
step 1: 8a+3+5a-2a
step 2: (8a+5a-2a)+3
step 3: (13a-2a)+3
step 4: 11a +3
the perimeter of square:
A, B & C are correct
Q5. yes, no, no, yes, yes
Answer:
A) option (a) i.e 10m-16
C) option (b) i.e 4(n-1.5)
E) option (a) i.e Step1: 8a+3-5a-2a
sorry I don't know the ans of ques 7 and 5
hope above ans may help you
A rectangle has an area of 4y^2 – 49 square units. What are the dimensions of the rectangle?
A) (2y – 7) units by (2y – 7) units
B) (4y – 49) units by (y + 1) units
C) (2y – 7) units by (2y + 7) units
D) (y – 7) units by (4y + 7) units
Answers
The dimensions of the rectangle are (2y – 7) units by (2y + 7) units
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as
Area = length * width
Given the following parameter
Area = .4y² - 49
Factorize the area
Area = (2y)² - 7²
Using the difference of two square
Area = (2y - 7)(2 y + 7)
Hence the dimensions of the rectangle are (2y – 7) units by (2y + 7) units
Learn more on area of rectangle here: https://brainly.com/question/25292087
#SPJ1
The length of a rectangle is 8 cm. Its diagonal measures 14
cm. What is its width?
Answers
Answer:
width is 2√33 cm
Step-by-step explanation:
you will make a right triangle with hypothenuse 14 , one side 8 and the other side x is the width.
use Pythagorean Th.
14² = 8² + x²
x² = 14² -8²
x² = 132
x = √132 = 2√33
mean absolute deviation of 50 51 56 59
Answers
The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.
PLZ HELP ASAP :( I need to show work and this is my very last assignmenttt
(part 2)
Answers
Answer:
3. 60°
4. 378.542
Step-by-step explanation:
in the picture
4) 9i(5) + 5i(3)– 10i
Answers
Answer:
50i
Step-by-step explanation:
WILL GIVE BRAINLIEST IF RIGHT IG....PLEASE get it RIGHT....
find the volume of a cone with a diameter of 12m and a height of 8m.
ANSWER CHOICES
oA. 96m^3
oB. 384 pi m^3
oC. 96 pi m^3
oD. 288 pi m^3
Answers
Answer:
V = 96 pi m^3
Step-by-step explanation:
V = (1/3) pi(r^2)h
Radius = 1/2(Diameter)
R = 1/2(12)
R = 6
Input.
V = (1/3) pi(6^2)8
Solve.
V = (1/3) pi(36)8
V = (1/3) 904.32
V = 301.44
V = 301.44/pi
V = 96 pi m^3
Answer:
The correct answer is option (C) 96π m³.
Step-by-step explanation:
As per given question we have provided that :
⟶ Diameter = 12 m⟶ Radius = 12/2 = 6 m⟶ Height = 8 mHere's the required formula to find the volume of cone :
[tex]{\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}[/tex]
➝ V = Volume➝ π = 22/7➝ r = radius➝ h = heightSubstituting all the given values in the formula to find the volume of cone :
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6)}^{2}8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6 \times 6)}8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi \times {(36)} \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3} \times \pi \times 36 \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{\cancel{3}} \times \pi \times \cancel{36} \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \pi \times 12 \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \pi \times 96}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} =96\pi}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{V_{(Cone)} =96\pi \: {m}^{3}}}}}}[/tex]
Hence, the volume of cone is 96π m³.
[tex]\rule{300}{2.5}[/tex]
Find the length of each diagnol and the area
Answers
Answer:
The length of diagonal BD is 11·(1 + √3)
The length of diagonal AC = 22
Step-by-step explanation:
The given data are;
Quadrilateral ABCD = A kite
The length of segment AD = 22
The measure of ∠DAE = 60°
The measure of ∠BCEE = 45°
Whereby, triangle ΔADE = A right triangle, and DE is the perpendicular bisector of AC, by trigonometric ratio, we have;
AE = EC
DE = 22 × sin(60°) = 11·√3
AE = 22 × cos(60°) = 11
∴ AE = EC = 11
BE = EC × tan(∠BCE) = 11 × tan(45°) = 11
The length of the diagonal BD = BE + DE (By segment addition property)
∴ BD = 11 + 11·√3 = 11·(1 + √3)
The length of diagonal BD = 11·(1 + √3)
The length of diagonal AC = AE + EC
∴ AC + 11 + 11 = 22
The length of diagonal AC = 22.
Can you help me, its due in a few minutes ?
Answers
Answer:
96 miles
Step-by-step explanation:
180 * 4/5 =144
144/ 3/2 =96
please help with this
Answers
( 20 - 16 / 16 ) × 100 =
( 4 / 16 ) × 100 =
( 1 / 4 ) × 100 =
100/4 =
% 25
Need help with 2 and 3 ASAP PLEASE SHOW WORK
Answers
Answer: #2; 25.13274, #3; 167.55161
Step-by-step explanation:
Decide if the following biconditional statement
is true or false;
A triangle is equilateral if and only if three sides
are congruent.
True
False
Answers
Answer:
True
Step-by-step explanation:
Pretty sure it's true.
Carlos makes a 15% commission on the mattresses that he sells to customers. If he sells $8,500 worth of mattresses, what is his commission?
Answers
Answer:
Net commission= $1,275
Step-by-step explanation:
Giving the following information:
Sales= $8,500
Sales commission rate= 15% = 0.15
To calculate the net commission, we need to use the following formula:
Net commission= sales * Sales commission rate
Net commission= 8,500 * 0.15
Net commission= $1,275
What is the measure of BA (the minor arc) in the diagram below?
D
B
72"
A
C
A. 1440
B. 216°
C. 36°
D. 72°
helppp plsss
Answers
Answer:
144
Step-by-step explanation:
you have to use this formula
m CBA>= a
BA ( =2a
CBA>=72
BA )=72×2
hopefully its helpful
Answer:
A
Step-by-step explanation:
The inscribed angle ABC is half the measure of its intercepted arc AB, then
arc AB = 2 × ∠ ABC = 2 × 72° = 144° → A
Ella builds a rectangular sandcastle with a length of 41 inches and a width of 32 inches. What is the perimeter of her sandcastle?
Answers
Answer: [tex]146\ in.[/tex]
Step-by-step explanation:
Given
The dimension of the rectangular sandcastle is
length [tex]l=41\ in.[/tex]
width [tex]w=32\ in.[/tex]
Perimeter is the sum of the sides of rectangle
[tex]\therefore\ \text{Perimeter= }2\left(l+w\right)\\\Rightarrow \text{Perimeter= }2(41+32)\\\Rightarrow \text{Perimeter= }2\times 73\\\Rightarrow \text{Perimeter= }146\ in.[/tex]
hey! i’ll give brainliest help thanks
Answers
Answer: The last one
Step-by-step explanation:
Answer:
D. 4th Option.
Explanation:
The cause is that a team is from your town and the effect is that you'll try to be a fan. The italicized words if and then indicate a cause and effect.
Look at the picture
Answers
Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct
PLEASE HELP ME!!! I WILL GIVE YOU BRAINLIEST
Answers
Answer:
hi i think you answer will be 28 square units
Tony's class needs more than $500 for the school dance.
So far, they have raised $200. They plan to have a car
wash, charging $8 a car, to raise more money. Tony
solved the inequality 8x + 200 > 500, and determined
that if they wash 37 cars, they will have enough money.
Is he correct? Explain.
(Please reply with sample answer if there is one!!)
Answers
Answer:
yes hes correct.
Step-by-step explanation:
37x8=296. 296+200= 596. 596>500
Answer:
No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5 Since the class must wash a whole number of cars, they need to wash at least 38 cars.
Step-by-step explanation:
I did the assignment, this is the Sample Response.
A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.
Write your answer as an equation with y first, followed by an equals sign.
Answers
Answer:
y = 2x
Step-by-step explanation:
1. attendee = x
2. cost = y
3. for each attendee [x], you have $2 of cost, so for each 1 x, you have 2 as result
4. Thus, y = 2x
Pls answer if u dont get answer right u. Get the boot no points and a report if u scam
Answers
Answer:
.65
Step-by-step explanation:
4.58/7=.65
math please help will give brainiest.
Answers
Answer:
3
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Add all the numbers together, to get 31. Then add 9. That leaves you with 40. Divide that by 5, or the number of terms. You get 8.
Hope that this helps!
Sally's math grade average went from an 84 to a 98. What was the percent of increase in her grade average?
A. 14% B. 14 2/7% C. 16 2/3% D. 22%
Please answer with clear explanation not just the answer please
Answers
Answer:
98 - 84 = 14(this is the change) now we convert this to a percent
14/1 x 100/100 = 14%
What is the mean of this data set? (Round to the nearest whole number)
14, 79, 77, 11, 14, 78, 77, 65, 31, 56, 16
77
14
47
56
Answers
Answer:
47
Step-by-step explanation:
to find the mean we add all numbers and divide by how many there are
14+79+77+11+14+78+77+65+31+56+16/ 11 ≈ 47
What is this distance in standard form??
Answers
The pool at the hotel where Gabriel is staying is symmetrical and shaped like the letter "W" below. A pool is made up of 3 rectangles. One rectangle has a base of 10 yards and height of 10 yards. Another has a base of 20 yards and height of 10 yards. Another has a base of 20 yards and height of 10 yards. The bottom surface of the pool is flat and needs new tile. If each tile covers StartFraction 1 Over 9 EndFraction of a square yard and costs $3, what is the cost of the tiles to retile the bottom of the pool? $1,500 $4,500 $10,800 $13,500
Answers
Answer:
So its just 4,500 yw
Step-by-step explanation:
4,500 so b i think
if u = 1 + 3i and v= -4 - 5i, find u + V.
Answers
Answer:
-3-2i
Step-by-step explanation:
u+V= 1+3i+(-4-5i)=1+3i-4-5i= -3-2i