Find the value of x in the figure below:
Answer:
x = 25
Step-by-step explanation:
The interior angle adjacent to the 123° angle is supplementary to it.
Its measure is 180° - 123° = 57°
The sum of the measures of the interior angles of a polygon is
(n - 2)180° = (4 - 2)180° = 2(180°) = 360°
3x + 7 + 96 + 5x + 57 = 360
8x + 160 = 360
8x = 200
x = 25
please solve it.......
Answer:
dy/dx = - (y/x)^4
Step-by-step explanation:
We are given the equation:
[tex] \displaystyle \large{ \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } = {a}^{3} }[/tex]
Recall important differential formulas such as:
[tex] \displaystyle \large{ \frac{d}{dx} (f(x) + g(x)) = \frac{d}{dx} f(x) + \frac{d}{dx} g(x)} \\ \displaystyle \large{ \frac{d}{dx} k = 0 \: \: \tt(k \: \: is \: \: a \: \: constant.)}[/tex]
Above is a basic property of differential. Looking at the equation above, differentiate both sides with respect to x. (dy/dx)
[tex] \displaystyle \large{ \frac{d}{dx}( \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } )= \frac{d}{dx} {a}^{3} }[/tex]
Apply the distribution property in.
[tex] \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = \frac{d}{dx} {a}^{3} }[/tex]
We treat x^3 and y^3 as function to one another, this type of differential will be called implicit once another variable of function is involved f(x,y).
But we treat a^3 as a constant so we just put 0.
[tex] \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]
Recall the quotient rules for the numerator = 1.
[tex] \displaystyle \large{ \frac{d}{dx} (\frac{1}{f(x)}) = -\frac{ \frac{d}{dx} (f(x))}{ {(f(x))}^{2} } }[/tex]
Thus:
[tex] \displaystyle \large{ - \frac{ \frac{d}{dy} ( {x}^{3} )}{ ({x}^{3})^{2} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 } \\ \displaystyle \large{- \frac{ 3 {x}^{2} }{ {x}^{6} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]
Make sure to recall power rules for differential and exponent laws.
From 3x^2 / x^6.
[tex] \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]
Now what do we do with 1/y^3? We just differentiate it normally but we multiply with dy/dx once we differentiate the y function.
[tex] \displaystyle \large{- \frac{ 3 }{ {x}^{4} } -\frac{ \frac{d}{dx}( {y}^{3}) }{ ({y}^{3})^{2} } = 0 } \\ \displaystyle \large{ -\frac{ 3 }{ {x}^{4} } - \frac{ 3 {y}^{2} }{ {y}^{6}} = 0 } \\ \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 }[/tex]
Solve for dy/dx, add both sides by 3/x^4.
[tex] \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{3}{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 + \frac{3}{ {x}^{4} } } \\ \displaystyle \large{ - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = \frac{3}{ {x}^{4} } } \\ [/tex]
Divide both sides by - 3/y^4.
[tex] \displaystyle \large{ \frac{- \frac{3}{ {y}^{4} } \frac{dy}{dx} }{ - \frac{3}{ {y}^{4} } } = \frac{ \frac{3}{ {x}^{4} } }{ - \frac{3}{ {y}^{4} } } } \\ \displaystyle \large{ \frac{dy}{dx} = \frac{3}{ {x}^{4} } \times (-\frac{ {y}^{4} }{3} )} \\ \displaystyle \large{ \frac{dy}{dx} = \frac{1}{ {x}^{4} } \times (- \frac{ {y}^{4} }{1}) } \\ \displaystyle \large{ \frac{dy}{dx} = - \frac{ {y}^{4} }{ {x}^{4} } } \\ \displaystyle \large{ \frac{dy}{dx} = - ( { \frac{y}{x} })^{4}}[/tex]
Plz help me with math well mark brainliest!
Answer:
15 is divided by a number
What does 2-for-1 split mean
Answer:
you two shares for every one share of a company you own
Step-by-step explanation:
Guided Practice
Find the slope of a line parallel to y=1/2x+2.3.
A.
1/2
B.
−1/2
C.
2
Answer:
A. 1/2
Step-by-step explanation:
GradPoint answer
I got it correct on the lesson.
Which conversion factor would you use to convert from meters to feet? 0.3048 m 1 ft 0.3048 m 1.61 miles 1 km 1 in. 2.54 cm
Answer:
There are 3.28084 feet per meter. So if you want to convert meters to feet using your own calculator, just multiply your number of meters by 3.28084.
Beth simplified the expression 8 + 10 + 8 + 2 minus (4 times 1.4) minus (4 times 1.4) to find the perimeter of the figure on the grid.
On a coordinate plane, a figure has side lengths of 8, 10, 8, 2, (4 times 1.4), (4 times 1.4).
What error did Beth make?
She found the area of the figure instead of the perimeter.
She subtracted the lengths of the diagonal lines instead of adding them.
She used 4 times 1.4 to represent the length of each diagonal line instead of 4.
She added the horizontal and vertical lengths instead of multiplying them.
Answer:
Step-by-step explanation:
the answer is 16.8
Explanation: well for starters you have to do what's in the parenthesis, so 4 times 1.4 is equal to 5.6. so now we add up the equation and get 28, so now we are left with 28-5.6-5.6 which equals 16.8
hoped this helped;)
Answer:
She subtracted the lengths of the diagonal lines instead of adding them.
Step-by-step explanation:
hey i need help with how to multiply 8/9 and 1/4. HELP ME OOOUUUUTTTT!!!!!!!!!!!!!!
Explanation:
Multiply the numbers up top: 8*1 = 8
Multiply the numbers in the bottom: 9*4 = 36
The two fractions 8/9 and 1/4 multiply to 8/36. Reduce this to 2/9 after dividing both parts by the GCF 4.
In other words,
8/4 = 2
36/4 = 9
Hello there! :)
When multiplying fractions, we multiply the numerator times the numerator and the denominator times the denominator. We reduce if it's necessary.
So multiply:
[tex]\frac{8}{9} *\frac{1}{4} \\[/tex]
Reduce and get:
[tex]\frac{2}{9} *\frac{1}{1} \\\frac{2}{9}[/tex]
And that's our final answer. Hope it helps you!
~Just a joyful teen
[tex]SilentNature[/tex]
A) HL
B) Not enough information
C) AAS
D) SAS
do
any one need points
9.65180 to the nearest tenth
Answer:
9.7
Step-by-step explanation:
Consider the following 8 numbers, where one labelled
x
is unknown.
5
,
31
,
31
,
x
,
31
,
34
,
10
,
48
Given that the range of the numbers is 67, work out 2 values of
x
.
9514 1404 393
Answer:
x = -19 or 72
Step-by-step explanation:
The range of the given numbers is 5 to 48. In order for x to make the range be 67, the value of x must be 67 less than 48, or must be 67 greater than 5.
x is 48 -67 = -19
or
x is 5 +67 = 72
Is 500 hrs a thing? Cause my question is: Every hour you get $10, how many hours till you get to $5,000? The answer should be 500 hrs, I don't know if that's an hour
Answer:
500 Hours
Step-by-step explanation:
Yes you are right, 500 hours is not an hour and I doubt anyone can work that much, there are only 168 hours in a single week.
If we're talking reality, it would take well over a few weeks.
If its just math then yeah you would get 500.
Either way, 500 is the right answer.
A 48 cm wire is to cut into two pieces. One piece must be cut 10 com longer than the shorter piece. How long should each peice be?
Step-by-step explanation:
short - S
long - L
L=10+S
L+S = 48
SINCE L=10+S
10+S+S=48
10+2S=48
2S=48-10
S=38/2=19
SHORT=19CM
LONG=10+S=10+19=39CM
write an expression in factored form for the polynomial of least possible degree graphed below.
i’m confused because when i’m trying to find « a » i end up getting 0 and i feel i’m doing something wrong. thank you!!
Answer:
- 1/64 (x+4)² (x-3) (x-4) = 0
Step-by-step explanation:
f(x) = a (x+4)²(x-3)(x-4) ... curve touch (-4,0) and not cross x axis
x=0 f(x) = -3
a (4)² * (-3) * (-4) = -3
a = - 1/64
- 1/64 (x+4)² (x-3) (x-4) = 0
Which of the following equations has both -6−6minus, 6 and 666 as possible values of ccc?
Choose all answers that apply:
(Choice A)
c^2 = 36c
2
=36c, squared, equals, 36
(Choice B)
c^3 = 216c
3
=216c, cubed, equals, 216
(Choice C)
None of the above
Answer:
It's the Choice A c² = 36
What is six hundred seventy-eight and thirty-four hundredths written in standard form?
6,870.34
6,087.34
687.34
678.34
Answer: 678.34
Step-by-step explanation:
600 + 78 and 34 hundredths
678.34
Harry filled the 75 L gas tank of his pickup truck for $73.88. Stan paid 95¢/L to fill up his truck. Who paid less per litre for fuel?
Answer:
stan
Step-by-step explanation:
Stan paid less price per liter of gas which is $0.95 per liter.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Harry filled the 75 L gas tank of his pickup truck for $73.88.
Therefore, The cost of 1L of gas is $(73.88/75) = $0.98 per liter.
And Stan paid $0.95 per liter, So Stan paid less per liter of fuel.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
A truck can be rented from Company A for $70 a day plus $0.50 per mile. Company B charges $40 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer: 300 miles, $220
Step-by-step explanation:
The distance from Seattle to Orlando is about 3,000 miles. The distance from Earth to the moon is 80 times that distance.
What is the distance from Earth to the moon?
Answer:
vggyyrt5 gf t66t6
Step-by-step explanation:
yy dry t6t ty y yuri u fry uu huf yy875
Find the slope and y-intercept for this table.
Answer:
See below:
Step-by-step explanation:
To find the slope, we use the following formula:
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
For this case, we can use (6,60) as the first set of points.
We can use (4,70) as the second set of points.
Now, we can use the formula, 70-60 is for the top of the fraction (10)
We can do 4-6 to find the bottom, which is (-2)
Now, if we add the fraction back we get -> 10/-2 which is -5 for slope!
To find out the y intercept, it in simple words is "What is y when x is 0?".
We can do that by using the slope intercept formula: [tex]y=mx+b[/tex].
Once we insert our slope which is -2 we get: [tex]y=-2x+b[/tex]
We can now substitute a point, lets use (6,60) so we can find out b.
We now get the equation: [tex]60=-5(6)+b[/tex].
If we solve for that we get 90!
Once we input that, we get, [tex]y=-5x+90[/tex]
Now we put in x as 0 and we get our y intercept as 90!
If this answer helped, consider marking as brainliest!!
I need help, how do i solve the equations and get the degree for the circle
Answer:
D 130º
Step-by-step explanation:
3x-70=x+10
so 2x-70=10
x=40
Alonso is buying a new phone for $ 870
on the installment plan. He must put
down 15% and pay monthly payments
for one year. How much is each monthly
payment?
A.$13.05
B.$83.38
C. $61.63
D. $10.77
Answer:
A
Step-by-step explanation:
1. Get 15% of 870:
First, get 10 percent of 870, which is 87, then half that, which is 43.5
Get the 87 and add the 43.5 on it, to get the full 15%, you end up with $130.5, which is the monthly payment.
(Only problem is that im pretty sure you put an extra 0, because if you just wrote 87 dollar's then you would've got 13.05, the actual answer, but if you add an extra 0 then you end up with 130$, just to let you know.)
help me guys l don't know this ??????
The least common multiple of the numbers 15, 12, 8
Answer: LCM of 8, 12, and 15 is 120.
Step-by-step explanation:
I hope this helps!
Answer:
2 and 1
Step-by-step explanation:
1 is the best which can go into
8 15 and 12
PLS HELP AND DONT PUT LINKS
Explain how to graph a scatterplot and its regression line using a regression calculator
before you enter the data into the regression calculator, decide which variable should be on x and y axis. then enter the data pairs. press the linear regression button to create the regression line
simplify the expression. Please help me
Answer:
The answer is 19
Step-by-step explanation:
I forgot how I figured it out but I did
y=2/3x constant of proportionality
Answer:
Looking at the equation, k=23 is our constant of proportionality because 23 is the constant number we multiply x by.
Graph and solve the following system.
у= 2x + 3
y = -2x + 3
graphed in the image attached with points,
hope this helps :D
Joseph is playing with blocks to create a design. With each step he continues to add
blocks. How many blocks will be required in the 5th and 6th step? Explain how you
know.
Answer:
times by 2 because it keeps going up by times 2 the number of blocks
9514 1404 393
Answer:
5th: 32
6th: 64
The number doubles at each step.
Step-by-step explanation:
Sequence problems are always tricky. Any finite list of numbers can always be represented by a polynomial, and can include any arbitrary next number. Generally, you are asked to find a simple rule that can explain the sequence shown and can be used to predict the continuation of the sequence.
It is often useful to look at the differences between values and/or their ratios. The sequence of block counts is ...
2, 4, 8, 16
1st differences are 4 -2 = 2, 4, 8 . . . . . the differences match the sequence
ratios are 4/2 = 2, 8/4 = 2, 16/8 = 2 . . . . . . the ratio is common: 2
We observe that each number of blocks is double the one before, and that the number of blocks is a power of 2 equal to the step number.
The blocks in the 5th step will be 2^5 = 32.
The blocks in the 6th step will be 2^6 = 64.
_____
Additional comment
It also looks like the shape alternates between a rectangle and a square. The 5th step will probably be a rectangle, and the 6th step will be a square.