Answer:
x=30
Step-by-step explanation:
3(x+2)^3/5 +3=27
Subtract 3 from each side
3(x+2)^3/5 +3-3=27-3
3(x+2)^3/5 =24
Divide by 3
3/3(x+2)^3/5 =24/3
(x+2)^3/5 =8
Take everything to the 5/3 power to get rid of the exponent on the left side
(x+2)^3/5 ^ 5/3=8 ^ 5/3
Remember that a^b^c = a^ (b*c)
(x+2)^(3/5 * 5/3)=8 ^ 5/3
(x+2)=8 ^ 5/3
Replace 8 with 2^3
(x+2)=2^3 ^ 5/3
Remember that a^b^c = a^ (b*c)
(x+2)=2^(3 * 5/3)
x+2 = 2^5
x+2 = 32
Subtract 2 from each side
x+2-2 = 32-2
x=30
Answer:
First blank is cos(h)cos(x)
Second blank is sin(x)
Step-by-step explanation:
Look up the identity and apply it here
You do the implcit differentation, then solve for y' and check where this is defined.
In your case: Differentiate implicitly: 2xy + x²y' - y² - x*2yy' = 0
Solve for y': y'(x²-2xy) +2xy - y² = 0
y' = (2xy-y²) / (x²-2xy)
Check where defined: y' is not defined if the denominator becomes zero, i.e.
x² - 2xy = 0 x(x - 2y) = 0
This has formal solutions x=0 and y=x/2. Now we check whether these values are possible for the initially given definition of y:
0^2*y - 0*y^2 =? 4 0 =? 4
This is impossible, hence the function is not defined for 0, and we can disregard this.
x^2*(x/2) - x(x/2)^2 =? 4 x^3/2 - x^3/4 = 4 x^3/4 = 4 x^3=16 x^3 = 16 x = cubicroot(16)
This is a possible value for y, so we have a point where y is defined, but not y'.
The solution to all of it is hence D - { cubicroot(16) }, where D is the domain of y (which nobody has asked for in this example :-).
(Actually, the check whether 0 is in D is superfluous: If you write as solution D - { 0, cubicroot(16) }, this is also correct - only it so happens that 0 is not in D, so the set difference cannot take it out of there ...).
If someone asks for that D, you have to solve the definition for y and find that domain - I don't know of any [general] way to find the domain without solving for the explicit function).
True answers for data in the plot are
The center is 13
The center is not 14
The Peak is 14.
It has three clusters
It is not symmetric to left or right it is bi-modal.
It is has a range from 10 to 15 most number of data points are 13 to 15.
Total number times Shelly waited is 16 times.
Step-by-step explanation:
- While taking cumulative frequency 56.75 percentage comes in 13%.
- It is the center point of the data.
- The 14 is not the center as it shows 93rd percent.
- It has three clusters 0-2 has one cluster,2-4 has 2nd cluster,5-8 third.
- It is not skewed on the left is has bi modal frequency has two heights.
- The person indeed waited for 16 times adding total dots.
- There was a zero 12 which created bi-modal distribution
Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y
