Answer:
The answer is "[tex]x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]"
Step-by-step explanation:
Given value:
[tex]\to \bold{ \sqrt[3]{x^5y} }[/tex]
[tex]\to \sqrt[3]{x^5y} =(x^5y)^{\frac{1}{3}}[/tex]
formula:
[tex]\bold{(a.b)^n=a^nb^n}[/tex]
[tex]\to (x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]
The final value is: [tex]\boxed{\boxed{ x^{\frac{5}{3}} \cdot y^{\frac{1}{3}}}}[/tex]
In annual Student vs. Faculty Kickball game, Brian kicked a ball that was in the air for a total of 4.5 seconds before it landed on the ground. Assuming that the ball left from the ground (initial height=0) which of the following was the initial vertical velocity of the ball? HINT: Use the height equation for English units.
Answer:
72.4004 ft/sec
Step-by-step explanation:
We know the parabola has width of 4.5 above the x-axis.
The parabola must face downward in order to represent a downward arc.
Therefore, the equation is:
-x^2+4.5x
The vertex is at (2.25, 5.063).
The max height was 5.063.
vy=v0y+ay⋅t
y=y0+v0y⋅t+12⋅ay⋅t2
Find the greatest possible value for a+b+c+d if b is a positive integer and a,b,c,d satisfy the system of equations
a+b=c
b+c=d
c+d=a
Answer:
[tex]a+b+c+d = -5\cdot b[/tex]
Step-by-step explanation:
The given system of equations is now reduced:
1) [tex]a+b = c[/tex], [tex]b+c = d[/tex], [tex]c+d=a[/tex], [tex]b > 0[/tex] Given
2) [tex]a = c+d[/tex] By 1)
3) [tex](c+d)+b=c[/tex] 2) in 1)
4) [tex]d = b + c[/tex] By 1)
5) [tex][c+(b+c)]+b = c[/tex] 4) in 3)
6) [tex]2\cdot b + 2\cdot c = c[/tex] Algebra
7) [tex]c = -2\cdot b[/tex] Algebra
8) [tex]d = -b[/tex] 7) in 4)/Algebra
9) [tex]a = -3\cdot b[/tex] 7) and 8) in 2)/Algebra
10) [tex]a+b+c+d = -5\cdot b[/tex] 9), 1), 7) and 8)/Algebra/Result
PLEASE HELP!! I WILL GIVE BRAINLIEST AND 16 POINTS!!
Complete the equation of the line through (3,-1) and (4,7). Use exact numbers. What does "y" equal?
Answer:
lets start with finding the slope
m=7-(-1)/4-3
m=8
now we can choose either of the 2 points given and the slope and plug that into the point slope form
y-7=8(x-4)
y-7=8x-32
y=8x-25
and that is your equation
Answer:
y = 8x - 25
Step-by-step explanation:
The equation of a line is y = mx + b
To find the slope use y2-y1/x2-x1
When you plug it in it will be 7 + 1/4 - 3 (8)
Now it is y = 8x + b
Lastly you need to plug in a coordinate to the equation to find b
7 = 8(4) + b (-25)
Can someone please help me please and thanks.
Answer:
The probability of 3 students having blood type A is 1.23 , having blood type B is 0.3 and having blood type AB is 0.12
Step-by-step explanation:
EBES
Given: f(x) = x2-3 and g(x) = x+1
The composite function of is
DONE
Answer:
A composite function means that you are evaluating one function into another function.
So, fog(x) can be written as:
f(g(x))
and gof(x) = g(f(x))
this means that instead of the variable "x", we are evaluating the functions with other function.
Let's solve this:
f(x) = x^2 - 3
g(x) = x + 1
then:
> gof(x) =g(f(x)) = f(x) + 1 = (x^2 - 3) + 1 = x^2 - 2
> fog(x) =f(g(x)) = g(x)^2 - 3 = (x + 1)^2 - 3 = x^2 + 2x + 1 - 3 = x^2 + 2x - 2
What is the Mean Absolute Deviation?
Mean Absolute Deviation (MAD) is found through the following steps
1) Find the mean. We add up the values and divide by the number of items.
2) Subtract each value from the mean and apply absolute value to ensure the result is not negative. This tells us how far each value is from the mean. Call these sets of distances set D.
3) Find the mean of set D, using the idea talked about in step 1. This will produce the MAD.
Clare has 150$ in her bank account. She buys a bike for 200$. What is Clares account balance now?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The amount left in the bank account is -$50.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount in the bank account = $150
Cost of the bike = $200
The amount left in the bank account.
= 150 - 200
= -$50
Thus,
The amount left in the bank account is -$50.
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Jerome currently has an account balance of $1,859.55. His initial deposit on the account was $825 and it earned 5.7% simple interest. How long has Jerome held the
account?
Answer:
22 years
Step-by-step explanation:
Well we know the formula for simple interest is
I = PRT
I = interest earned
P = initial balance
R = rate
T = time
We want to solve for time here....so rearrange for T
T= I/(PR )
We have
P = 825
R = .057
And I = current balance - initial balance = 1859.55 - 825 = 1034.55
So plugging all those in we have
T = 1034.55/(825×.057 )
T = 1034.55/47.025
T = 22
It was held for 22 years.
Find the term that must be added to the equation x2+4x=1 to make it into a perfect square
The x term has a coefficient of 4. Take half of this to get 2, then square it to get 4. This is the value we add to both sides to get x^2+4x+4 = 5. Note how x^2+4x+4 factors into (x+2)^2
---------
Another example: Let's say we started with x^2+6x = 1. To complete the square, we need to add 9 to both sides. I start with 6 (the x coefficient) and cut that in half to get 3, then I squared that to get 9. So we add 9 to both sides getting x^2+6x+9 = 10 which becomes (x+3)^2 = 10
The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.
What is Quadratic equation?In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax^2 term.
For example
Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.
Given :
x²+4x=1
as, the x has coefficient 4.
so half the coefficient of x and add and subtract the square of the remaining.
x²+4x + 2 ² - 2² =1
Now, make the whole square term
x²+4x + 2 ² - 4 - 1=0
( x + 2)² -5= 0
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PLSSS HELP PLSSSSSSSS MARKING BRAINLIST QUESTION BELOW
Answer:
Hey there!
CarMart's rate of sales is 11 cars per day.
Winston's rate of sales is 10 cars per day.
Compared with CarMart, Winston is selling fewer cars per day.
Compared with CarMart, Winston started with 2 fewer cars.
Let me know if this helps :)
Answer:
CarMart's rate of sales is 11 cars in a day.
Winston's rate of sales is 10 cars in a day.
Compared with CarMart, Winston is selling less cars in a day.
Compared with CarMart, Winston started with two fewer cars.
Step-by-step explanation:
Find the lateral area of this pyramid
whose base is an equilateral triangle. Its
slant height is 12 in. and the length of each
side of the triangular base is 5
Answer:
90 in²
Step-by-step explanation:
The lateral area can be found using the formula ...
LA = (1/2)Ph
where P is the perimeter of the base and h is the slant height. For your dimensions, the lateral area is ...
LA = (1/2)(3×5 in)(12 in) = 90 in²
The lateral area is 90 square inches.
can someone show me how to do this please?
Answer:
SA = 108 ft^2
Step-by-step explanation:
The front and back faces are triangles with 4 ft base and 3 ft height.
The three sides are rectangles with dimensions 4 ft by 8 ft, 8 ft by 5 ft, and 3 ft by 8 ft.
The surface area is the sum of the areas of the two triangles and the three rectangles.
SA = 2 * (1/2)(4 ft * 3 ft) + 4 ft * 8 ft + 8 ft * 5 ft + 3 ft * 8 ft
SA = 12 ft^2 + 32 ft^2 + 40 ft^2 + 24 ft^2
SA = 108 ft^2
Which correlation coefficient could represent the relationship in the scatter plot
Answer:
C
Step-by-step explanation:
C
Answer: C
I had the same question.
Also hope this helps
A plot of land is listed for sale with the following measurements:1300 ft ×982 ft. What was the % of error of the area of the plot?
A. 1.47%
B. 14.73%
C. 1.15%
D. 11.7%
please please please help me!!
Please Help ;-;" :Mr. Gordon’s science class is studying blood types. The table below shows the probability that a person living in the US has a particular blood type. ( Type 0=9/20) (Type A=41/100) (Type B=1/10) (Type AB=1/25) What is the probability that three students selected randomly from the class will have A, B, and AB blood, respectively? Explain how you would solve this problem.
Answer:
A = 6.9%
B = 0.1%
AB = 1.6%
Step-by-step explanation:
A=0.41=41/100
B=0.1=1/10
AB=0.25=1/25
41/100³ = 0.41³ = 0.069 = 6.9%
1/10³ = 0.1³ = 0.001 = 0.1%
1/25³= 0.25³ =0.016 = 1.6%
I did to the power of 3 because the equation just looks like this
41/100 x 41/100 x 4/100
this is because you are multiplying each number by the amount of students selected.
Solve for x show work plz
Answer:
20
Step-by-step explanation:
We know that ΔBAC and ΔBED are similar becuase of the AA Postulate (they both have a right angle and they both share ∠B). Since AC is 15/3 = 5 times longer than ED, the scale factor is 5 which means AB is 5 times longer than EB. This makes EB = 25 / 5 = 5. Since AB = AE + EB and we know that AB = 25, AE = x and EB = 5, 25 = x + 5 which means x = 20.
Any help will be nice...Dont answer for points >:( Correct equations for vertical line (7.5pt) Correct equations for horizontal lines (7.5pt) 1. In many cities and towns across the United States, the numbering system of the roads is based on a grid, similar to the latitude and longitude lines on a globe. Suppose the green lines in the following graph represent two east-west and two north-south running roads in a Midwestern town.
Answer:
See below.
Step-by-step explanation:
Horizontal lines have the equation:
[tex]y=n[/tex]
Where n is the value the horizontal line stays on.
Vertical lines have the equation:
[tex]x=n[/tex]
Where n is the value the vertical line stays on.
For the two north-south lines, one of them stays on -5 and the other stays on 8. Therefore, the two vertical line equations are:
[tex]x=-5 \text{ and } x=8[/tex]
For the two east-west lines, one of them stays on -7 and the other stays on 4.
Therefore, the two horizontal line equations are:
[tex]y=-7 \text{ and } y=4[/tex]
Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate plane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V1 and the aquarium. Question 4 options: A) 11 units B) 10 units C) 1 units D) units
Answer:
A
Step-by-step explanation:
To find the distance between V1 and AQ use the distance formula
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
First find the coordinates of both V1: (-6, 5) AQ: (5, 5)
Now plug it in and solve for d (11)
14+12= -15x+2x need help thanks
Answer:
x = -2
Step-by-step explanation:
Collect terms:
26 = -13x
Divide both sides of the equation by the coefficient of x:
26/-13 = x = -2
The solution is x = -2.
Answer:
-2
Step-by-step explanation:
14+12=-15x+2x
26=-13x
x=26/-13
x=-2
Two joggers start from different locations and simultaneously begin heading toward each other. One of the joggers jogs 19mph, while the other jogs 17mph. If the two joggers are 324 miles apart how many hours will it take before they meet?
Answer:
It would take 9 hours for them to meet.
Step-by-step explanation:
Total distance covered by both per hour: 19+17=36
The total time to go 324 miles for them: 324/36=9
What is the number of real solutions? 2q^2−8q+4=0
Answer:
there's two
Step-by-step explanation:
q=(4-√24)/2=2-√6=-0.449
and
q=(4+√24)/2=2+√6=4.449
help me out with this plzz 20 points and also brainlest my question in the attachment below thank you :)
Answer:
486 ft²
Step-by-step explanation:
If the cube volume is 729 ft³, then the length of one side is
∛(729 ft³) = 9 ft.
The cube (like all cubes) has 6 identical sides, each 9 ft by 9 ft, or 81 ft².
Label each side with '81 ft²'
Since there are 6 such sides, the total surface area is 6(81 ft²) = 486 ft²
08
12.5%
The following items were bought on sale. Complete the missing information.
Amount Paid
Item Purchased
Video Game
Original Price
$80
Amount of Discount
20%
$14
$11.20
Movie Ticket
Laptop
$1,000
$750
Shoes
$55.00
10%
$49.5
Lumos Information Services 2020 LumosLearning.com
Answer:
1. $64
2. 20%
3. 25%
4. $65.50
Step-by-step explanation:
1. 80 x 20% = ?
method = 80 x 0.20 = 16 = $16 80-16 = 64 = $64
2. 14 x ? % = $11.20
method = We divide 11.20/14 = 0.8 = 0.80 = 80% inverse of 80% = 20%
proof 14 x 0.20 = 2.80 so; 14 -2.80 = $11.20
3. 1000 x ? = $750
method = 1000/750 = 0.75 0.75 = 75% inverse on original price = 25%
4. $55 x 10% = ?
method = 55 x 1.10 = 65.5 = $65.50
Kim is building a triangular dog pen. She will use an existing 10 m wall as one side. She will then build a fence going out at a 45°
angle on one side of the wall and a 65° angle on the other side. How much chain-link fence is needed to complete the fence?
es )
Answer:
17.2 ft
Step-by-step explanation:
The angle that the fence makes opposite the wall is ...
180° -45° -65° = 70°
The law of cosines can be used to find the lengths of fence needed.
The fence opposite the 45° angle will have a length of ...
short side = (10 ft)·sin(45°)/sin(70°) = 7.525 . . . feet
The fence opposite the 65° angle will have a length of ...
long side = (10 ft)·sin(65°)/sin(70°) = 9.645 . . . feet
Then the total length of fence required is ...
7.525 ft +9.645 ft = 17.170 ft
About 17.2 feet of chain-link fence is required to complete the enclosure.
_____
We have assumed there is no chain-link fence along the 10 ft wall.
_____
The Law of Sines tells you that for sides a, b, c and opposite angles A, B, C, you have ...
a/sin(A) = b/sin(B) = c/sin(C)
For some given side 'a' and opposite angle A, the other two sides can be found from their opposite angles as ...
b = sin(B)·a/sin(A)
c = sin(C)·a/sin(A)
Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The rate of change is 3 and the y-intercept is 4 How much more is the rate of change of function A than the slope of function B? 3 6 2 9
Answer:
6
Step-by-step explanation:
Function A
y = 9x + 4
Function B
y = max+b
m = 3 and b = 4
y = 3x+4
The difference in the slopes is 9-3 = 6
Answer:
6
Step-by-step explanation:
The two functions are A and B.
A's equation is khown
● y =9x + 4
B is also khown. We should only gather tge information.
● the rate of change is 3
●the y-intercept is 4
So B's equation is:
● y = 3x + 4
3 is the rate of change wich is khown as the slope.
Divide A's slope by B's slope to khow how much A's slope is bigger than B's.
● 9/3 = 3
Substract 3 from 9 and you get the difference 9-3= 6
Plssss answer this guys fastt Pleaseeee
Pleaseeeeeeeeeeeeeeeeeee
And when u make pls do it all and not half thanks u so much if u dooo
Answer:
You cant get someone to do all of this try doing a few or getting help from someone older that's what I did
Explanation:
I asked help for one problem and the explanation and now I understand how they did it so the other problems I can do now
It's better to make an effort and try doing some of them instead of asking someone to do all of it
Because when the test comes it won't be that easy so next time just try putting a few so that way you can try understanding it and you can apply it to similar problems.
I hope you can find this some what help to you in the future. Also this is a suggestion from my experience so you don't have to do it I'm just trying to help out.
How many pumpkins are in Leonard's patch?
Answer:
You can do 4+5+8+6+2.
and It is 25.
so, 25 pumpkins!
Step-by-step explanation:
plz give me brainliest.
thank you and have a nice day!
Answer:
[tex]\huge\boxed{ 25\ pumpkins}[/tex]
Step-by-step explanation:
By looking at the given histogram and determining the no. of pumpkins, we get:
Number of Pumpkins = 4 + 5 + 8 + 6 + 2
=> 25 pumpkins
Help ASAP please and thanks
I will give BRAINIEST to the next person who answers this!!
Answer:
Challenge #1:
Different examples:
2x+1=3x+2
4x+3=5x+4
3x+2=4x+3
Challenge #2:
Different examples:
2x+0=4x+1
3x+1=2x+5
6x+5=8x+6
Answer:
(-2x + 1 = 1x + 1) or (-4x + 2 = 2x + 2)
Step-by-step explanation:
6(y + 5) = 15y + 12
What value of y makes the equation true
Answer:
[tex]\boxed{y=2}[/tex]
Step-by-step explanation:
[tex]6(y + 5) = 15y + 12[/tex]
[tex]\sf Expand \ brackets.[/tex]
[tex]6y+30=15y+12[/tex]
[tex]\sf Subtract \ 12 \ and \ 6y \ from \ both \ sides.[/tex]
[tex]6y+30-12-6y=15y+12-12-6y[/tex]
[tex]30-12=15y-6y[/tex]
[tex]18=9y[/tex]
[tex]\sf Divide \ both \ sides \ by \ 9.[/tex]
[tex]\displaystyle \frac{18}{9} =\frac{9y}{9}[/tex]
[tex]2=y[/tex]
