21.
Ify= 1+x, find
x
dy.
/
dx
Answer:
A. 2/(1 -x)²
Step-by-step explanation:
The derivative of a ratio is given by the formula ...
d(u/v) = (v·du =u·dv)/v²
Here, we have ...
u = 1+x; du = 1·dx
v = 1 -x; dv = -1·dx
Then ...
[tex]dy=\dfrac{(1-x)(dx)-(1 +x)(-dx)}{(1-x)^2}\\\\\dfrac{dy}{dx}=\dfrac{1-x +1+x}{(1-x)^2}=\boxed{\dfrac{2}{(1-x)^2}}[/tex]
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Additional comment
The formula used above is a combination of the power rule and the product rule.
d(u^-1) = -du·u^-2 = -du/u² . . . . power ruled(uv) = u·dv +v·du . . . . . . . . product rule2. A business is purchasing t-shirts with their logo on them. Timmy's T-Shirt
Shop charges a $35 set-up fee and $10 per shirt. Shirts-O-Rama charges a $55
set-up fee and $5 per shirt. USE A TABLE to determine how many shirts would
need to be purchased for the total cost to be equal at both stores and what that
total cost would be.
There are 150 males and 50 females participating in a marathon. What percent of the participants are female?
Hey there!
Answer: 25% of participants are females
Add both M and F = 200
50 + 50 + 50 + 50 = 200
=> 50 + 150 = 200
each 50 is 25% of 200
Therefore, the percentage of females in the race is 25%
Answer:
50+150=200
female=50
50÷200×100=25%
percentage of female=25%
Please help asap! I will gave brainlest!
Answer:
270°
Step-by-step explanation:
Given :-
0° ≤ θ < 360°To Find :-
sinθ = -1Solving :-
We know sin90° = 1Therefore, for it to be negative, it needs to be rotated by 180°⇒ 90° + 180° = 270°Write the equation of a line in slope-intercept form with a slope of 7/
4 and a y-intercept of −3 .
y=7/4x-3 or y=1.75x-3
The average person needs to eat 2000 calories everyday to remain healthy. How many more calories should you eat to remain healthy?
Answer:
This depends on the person, try measuring how many calories you eat in 1 day. By gathering that information you can determine if you are either eating more calories or less
Find the values of x and y that make the quadrilateral a parallelogram.
Answer is in the image, proof also has given
I need help if you absolutely don’t know please don’t but a random answer down 11:24 a.m est
Answer:
i can go ahead and say that for question 1, the answer is 1,568,000,000,000,000,000,000,000,000,000
estimation is ethier 2,000,000,000,000,000,000,000,000,000 or 1,700,000,000,000,000,000,000,000,000,000
also i'm very sorry if this didn't help you! but i really hope this did help you out a little
The diagram show two congruent polygons joined together
Answer:
10
Step-by-step explanation:
Can someone help me with this please?
4
Step-by-step explanation:
The green line has a slope of because it is parallel with the red line
Lines which are parallel have same slope
PLLSSS hEELPPPP
What is the inverse of the following statement?
If two triangles are congruent, then their corresponding angles are congruent.
A. If the corresponding angles of two triangles are congruent, then the triangles are congruent.
B. If two triangles are not congruent, then their corresponding angles are not congruent.
C. If two triangles are congruent, then their corresponding angles are congruent.
D. If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
Answer:
A
Step-by-step explanation:
A, because you just have to flip the cause and effect.
If two triangles are congruent, then their corresponding angles are congruent.
So, if the corresponding angles are congruent, then the triangles are congruent
You can use this property for problems similar to this one, that have cause and effect relationships.
I did it but it didn't have my answer on the list lol
Answer:
B) 1 8/27
Step-by-step explanation:
First, change all mixed fractions into improper fractions:
2 1/3 = 7/3
1 4/5 = 9/5
7/3 ÷ 9/5
Next, flip the second fraction, and change the division sign into multiplication:
7/3 x 5/9
Multiply across:
7/3 x 5/9 = 35/27
Change into a mixed fraction:
35/27 = 27/27 + 8/27
1 8/27 is your answer.
~
Rewrite 3^-7 using a
Answer:
Is the question 'Rewrite 3^-7 using a fraction'
If yes, Then
It can be written as 1/3^7
THIS IS DONE BY USING A LAW i.e., a^-1=1/a^1
need help on this math question, by the way the first choice is incorrect, i chose that and got it wrong... thanks
Please help me find the equation xx
9514 1404 393
Answer:
(2x-10) +x +(x+10) = 180x = 45(2x-10)° = 80°(x+10)° = 55°x° = 45°Step-by-step explanation:
The equation is an expression of the fact that the sum of the angles in a triangle is 180°.
(2x -10)° +x° +(x +10)° = 180°
For the purposes of the answer box, I'd leave off the degree symbol:
(2x -10) +x +(x +10) = 180
__
This simplifies to ...
4x = 180
x = 45
Then the angles (CW from top) are ...
(2·45 -10) = 80°
(45 +10)° = 55°
(45)° = 45°
The expression 3 x 7 - 4x8+2 is equivalent to which of the following?
A 3* (7 - 4) * (8 + 2)
B (3 x 7) - (4 x 8) + 2
h
C (3 x 7) - 48 + 2)
D 3* (7 - 4) * 8 + 2
The vertices of a rectangle are w. 2). 14, 2). Y14.-3), and 21.-3). Find the perimeter of the
rectangle
Check the picture below.
1-25 Cash paid to Hari Rs.12500 in full settlement of his
uired: a. Journal Entries b. Hari Account
Answer:
i dont know please ask to raju landge urfa tapori anna
what is 5/8 + 1/12? and how do you do it?
The answer to your question is 17/24
First find the lcd which is 24
5/8 = Times eight by three to get 23 = And whatever you do to the top you do to the bottom = So then you would do five times three to get 15 = To create your new fraction 15/24
1/12 = Times twelve by two to get 24 = And whatever you do to the top you do to the bottom = So then you would do one time two to get 2= To create your new fraction 2/24
Then you would add 15/24+2/24= 17/24
Can someone explain how they got the answer for this?
Answer:
y = 6x + 4
Step-by-step explanation:
We know the equation is linear. First, use two points to find the slope of the line.
m = (y₂ − y₁) / (x₂ − x₁)
m = (10 − 4) / (1 − 0)
m = 6
The y-intercept is 4. So the equation of the line is:
y = mx + b
y = 6x + 4
Sam is developing a metric to try to measure how generous an individual is. In order to evaluate whether it is actually measuring generosity, Sam is checking to see if there is any correlation between a person's score on the metric and the amount of money they donate to charities or give to others in need. In other words, Sam is evaluating the _____ of the metric.
By checking to see if there is correlation, Sam is evaluating the criterion validity of the metric.
How to determine the measured parameter of the metricFrom the question, we understand that Sam tests the metric to check for the presence or absence of correlation in the metric.
This, in other words means that Sam is checking the criterion validity of the metric.
Hence, the true statement is that Sam is evaluating the criterion validity of the metric.
Read more about correlation at:
https://brainly.com/question/14289293
answer urgent please!!
Answer:
15Step-by-step explanation:
[tex]u=5i-j\\\\v=3i+j\\\\w=i+4j\\[/tex]
[tex]v+w[/tex]
[tex]3i+j+i+4j\\\\4i+5j\\\\u*(v+w)\\\\(5i-j)(4i+5j)\\\\20-5\\\\\boxed{15}[/tex]
~
Replace ? with an expression that will make the equation valid.
Answer:
4x³
Step-by-step explanation:
d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?
To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:
Let y = ln (x⁴ + 7)
Let u = (x⁴ + 7)
Therefore,
ln(x⁴ + 7) = ln u
Thus,
y = ln u
dy/du = 1/u
Next, we shall determine du/dx. This is illustrated below:
u = (x⁴ + 7)
du/dx = 4x³
Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:
dy/dx = dy/du × du/dx
dy/du = 1/u
du/dx = 4x³
dy/dx = 1/u × 4x³
But:
u = (x⁴ + 7)
Therefore,
dy/dx = 1/(x⁴ + 7) × 4x³
Thus, the missing expression is 4x³
Please help asap! I will gave brainlest!
Answer:
option D.
Step-by-step explanation:
1) cosx=cotx;
[tex]cosx(\frac{1}{sinx} -1)=0;[/tex]
[tex]\left[\begin{array}{ccc}cosx=0\\sinx=1\end{array} \ = > \ \left[\begin{array}{ccc}x=\frac{\pi }{2} +\pi k\\x=\frac{\pi }{2} +2\pi n\end{array}[/tex]
where n,k∈Z;
2) if x∈[0;2π], then x=π/2; 3π/2.
Note, the greek letter 'Θ' is replaced with 'x'.
Answer:
π/2, 3π/2
Step-by-step explanation:
Given :-
0 ≤ θ < 2πTo Solve :-
cosθ = cotθSolving :-
cosθ = cotθcosθ = cosθ/sinθ1 = 1/sinθsinθ = 1θ = π/2, 3π/2IM GIVING 25 PTS AND BRAINLIESTTTT
Answer:
answer is A. the graph does not cross over the X axis
and to check whether I'm correct.
calculate -(1/3)^0 which equals -1
and also check using 4 as the X value : -(1/3)^4 = - 1/81
ALL THESE ANSWERS ARE NEGATIVE ANSWERS
What is the image of (0, -8) after a reflection over the line y = -x?
Submit Answer
Answer:
(8,0)
Step-by-step explanation:
could be negative 8 but it said positive 8
positive works
The required reflection of the point (0, -8) on the line y = -x is (8, 0).
To determine the image of (0, -8) after a reflection over the line y = -x.
the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
For the image of the point of the line y = -x
The reflection of point (0, - 8) is given as by swaping the value and change the sign, So the image of the point is (8, 0).
Thus, the required reflection of the point (0, -8) on the line y = -x is (8, 0).
Learn more about equation here:
brainly.com/question/10413253
#SPJ2
Please help ASAP! It would be greatly appreciated. Thank you.
Answer:
2one
Step-by-step explanation:
Help help math math ASAP math
Answer:
[tex]\displaystyle y - 4 = \frac{1}{5}(x - 5)[/tex]
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so −5 becomes ⅕. Now, proceed with plugging the information into the Point-Slope Formula:
[tex]\displaystyle [5, 4] \\ \\ \boxed{y - 4 = \frac{1}{5}(x - 5)}[/tex]
**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.
I am joyous to assist you at any time.
What is the image point of (3, 7) after a translation right 5 units and up 1 unit?
Answer:( 8,8)
Step-by-step explanation:
In a given school, there 240 boys and 260 girls.
a) What is the ratio of the number of girls to the number of boys?
b) What is the ratio of the number of boys to the total number of pupils in the school?
Ratio:-
[tex]\\ \rm\Rrightarrow \dfrac{Girls}{Boys}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{260}{240}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{13}{12}[/tex]
[tex]\\ \rm\Rrightarrow 13:12[/tex]
#2
Total pupils=240+260=500Ratio
[tex]\\ \rm\Rrightarrow \dfrac{240}{500}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{12}{25}[/tex]
[tex]\\ \rm\Rrightarrow 12:25[/tex]
Answer:
a) 13:12
b) 12:25
Step-by-step explanation:
a) ratio of girls to boys
260:240 or 13:12
b) ratio of boys to the total number of pupils
240:(240+260) or 240:500 or 12:25
The basic way to find this is by simplifying.
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Thanks!
Mark me brainliest!
~[tex]FieryAnswererGT[/tex]~