If xy =1 show that dy/dx=-1/x²
If xy = 1, then differentiating both sides with respect to x gives
x dy/dx + y = 0
(use the product rule)
Solve for dy/dx :
dy/dx = -y/x
Solve the starting equation for y and substitute that into the derivative.
xy = 1 → y = 1/x
→ dy/dx = -(1/x)/x = -1/x²
Assuming all model requirements for conducting the appropriate procedure have been​ satisfied, is the mean IQ of the students in the​ professor's statistics class higher than that of the general​ population, 100? Explain what statistical procedure should be used for this research objective.
Answer:
Step-by-step explanation:
The right statistical procedure is by applying a hypothesis test that uses a single mean. Here, if we are to talk about comparison, it should be between the mean IQ of the students in the class and the national average IQ. The class is not for a comparison between two population means because it is viewed as the sample of the population. That is to say, the required task is to determine if the sample mean is greater than the population mean. We can conclude that this obeys a hypothesis test rather than a confidence interval.
Given: a∥b, m∠1 = 71º Find m∠5, m∠8
Step-by-step explanation:
m <5=71
m <8=109
-------------
Answer:
∠5 = 71°
∠8 = 109°
Step-by-step explanation:
∠1 = 71°
∠5 = 71° (the same as ∠1 = 71°) its a corresponding angle
∠8 = 180 - ∠5
∠8 = 180 - 71
∠8 = 109°
What is the equation of the line that passes through the point (2,0) and has a slope of 5/2
PLS HELPPPPP!!!!!!!!!!!!!!!!!!
what is 2/5 times 11 in simplest form?
Answer:
4.4 would you let me know if you need an explanation and pls don't delete.
Hmmmm i think its 5/22
Step-by-step explanation:
So basically how i got it was 2/5*11
And that got me 5/22
I do not think you could simplify this
Either I'm very smooth brain or you can't simplify 5/22
Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each
4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?
Answer: Each shelf is 2ft
Step-by-step explanation:
16 = (2 x 4) + 4s
16 = 8 + 4s
8 = 4s (subtract 8 from both sides)
8/4 = 4s/4 (divide both sides by 4)
2 = s
Use the figure to find the measure of the angle.Explain your reasoning.
angle2=180-152=28
angle3=28
angle4=152
angle5=152
angle6=28
angle7=28
angle8=152
The values of the marked angles: angle 2, angle 3, angle 4, angle 5, angle 6, angle 7, angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.
What is an angle?When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.
Given, angle 1 = 152°
We know, angle 1 + angle 2 is 180°. (supplementary angles)
Therefore, angle 2 = (180° - 152°) = 28°.
Again, angle 2 = angle 3. (opposite angles)
Therefore, angle 3 = 28°.
Similarly, angle 1 = angle 4
Therefore, angle 4 = 152°.
Now, angle 1 = angle 5 (corresponding angle)
Therefore, angle 5 = 152°.
Now, angle 2 = angle 6 (corresponding angle)
Therefore, angle 6 = 28°.
Now, angle 3 = angle 7 (corresponding angle)
Therefore, angle 7 = 28°.
Now, angle 4 = angle 8 (corresponding angle)
Therefore, angle 8 = 152°.
Learn more about an angle here: https://brainly.com/question/18129828
#SPJ2
Does the table represent y as a function of x?
Answer:
yes
Step-by-step explanation:
I need help pls Simplify 6y+9+3y-7
Answer:
9y+2
Step-by-step explanation:
a(-1, 1)b(1, -2)c(0, -4) rotated 270 degrees by the origin
hwo wants brainlist?
567x357+65-76=?
Answer:
Hewo, Mee
202408
Answer:
202408
Step-by-step explanation:
If m is a multiple of 20 then m is also a multiple of 10 true or false
HELP I WILL RATE !!!!!!!
No picture, nothing to rate here.
Help me pleaseeeeeeeeeeeeeee
Answer:
the second one
Step-by-step explanation:
Answer:
2nd
Step-by-step explanation:
The 2nd one is the correct one because it is true and that is the best way to get your solution.
Hope this helps:)
Pls mark brainly
HELP ASAP what's the reason for statement 3, WILL GIVE BRAINLIEST
Answer:
From prove
Step-by-step explanation:
from prove
Explanation
Two angles are called complementary when their measures add to 90 degrees
Can some one help please!!!!!!!
Answer:
yes it's easy
Step-by-step explanation:
y=-2x
it may help you to understand.
If 7x-3x+17-x+1=108, what is the value of 4x+x?
Answer:
150
Step-by-step explanation:
1. combine like terms
7x-3x-1x=3x
17+1=18
2. subtract
108-18=90
3. divide
90/3=30
which means x=30
4. plug it in
4X30+30=150
marie wants to know the most popular car for parents. She plans to survey the people shopping at the used car lot from 10:00 a.m. to 11:00 p.m. Which statement below best reflects Marie's plan?
A. Marie's sample is valid.
B. Marie should also survey people entering the grocery stores.
C. Marie's sample is biased.
D. Marie should make sure she surveys both men and women.
Answer:
C Marie's sample is biased.
Step-by-step explanation:
It is biased because she doesn't know. It is just 1 hour so like there could be like a lot of people at 4-5 and not a lot at 10-11
Hope this helps!
Merry Christmas
Answer:
Give the other person brainliest.
Step-by-step explanation:
The other person is correct.
What is the Slope of the slide?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Points on line: (1,2) (3,3)
[tex]\frac{2-3}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
Find the maximum value of the function
f(x) = –22 – 15.9x – 57 to the nearest hundredth.
Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
3%
?
The sales tax is $.
Answer:
57.00
Step-by-step explanation:
welcome
Answer:
1.80
Step-by-step explanation:
60 x .03=1.80
HURRY ANSWER THIS IM BEING TIMED
Answer:
D
Step-by-step explanation:
10(4 - 7)/-(4 - 1)
40-70/-4+1
-30/-3
=10
Find the area of the trapezoid below.
4 cm
3 cm
8 cm
Answer:
4 + 8 / 2 * 3 = 18
4 + 8 = 12
12 / 2 = 6
6 * 3 = 18
Step-by-step explanation:
*Hope this helps*
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
2y- 4x= 6
y- 2x=7
A. No solution
B. More than 1 solution
C. x= 4, y=-2
D. X= -1, y= 1
4j + 4 =
Next, subtract 4 from both sides.
4j
Answer:
4j=-4
j=-1
Step-by-step explanation:
Answer:
4j=-4 j=-1
Step-by-step explanation:
the picture is below
Answer:
C
Step-by-step explanation:
The vertices of a triangle are P(-2, -4), Q(2, -5), and R(-1,-8). Name the vértices of the triangle after reflecting over the x-axis
Answer:
P(-2,4)
Q(2,5)
R(-1,8)
Step-by-step explanation:
The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.
Determine if the number is a negative or positive integer. Gain 4 yards in the last down.
Answer:
Positive
Step-by-step explanation:
It's positive because the person is gaining 4 yards, not losing it.
The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source
Answer:
The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]
Step-by-step explanation:
Voltage Sources in Series
When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.
The figure shown has three voltage sources of values:
[tex]2 + 6\mathbf{i}[/tex]
[tex]a + b\mathbf{i}[/tex]
[tex]2 - 5\mathbf{i}[/tex]
The sum of these voltages is:
[tex]V_t=4+a+(6+b-5)\mathbf{i}[/tex]
Operating:
[tex]V_t=4+a+(1+b)\mathbf{i}[/tex]
We know the total voltage is [tex]6-3\mathbf{i}[/tex], thus:
[tex]4+a+(1+b)\mathbf{i}=6-3\mathbf{i}[/tex]
Equating the real parts and the imaginary parts independently:
4+a=6
1+b=-3
Solving each equation:
a = 2
b = -4
The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]
The voltage at the middle source is;
E2 = (2 + 4i) V
From the image, we see the voltage at each point as;
E1 = (2 + 6i) V
E2 = (a + bi) V
E3 = (2 - 5i) V
The given voltages are in series and as such the total voltage will be;
E_t = E1 + E2 + E3
We are told that the total source voltage is (6 - 3i)V. Thus;
(6 - 3i) = (2 + 6i) + (a + bi) + (2 - 5i)
Rearranging gives;
(a + bi) = 6 - 3i - (2 + 6i) - (2 - 5i)
(a + bi) = 6 - 3i - 2 - 6i - 2 + 5i
(a + bi) = 2 - 4i
The middle source voltage is E2 = (a + bi) V. Thus;
E2 = 2 - 4i
Read more at;https://brainly.com/question/8151005
Calculate the paychecks of the following people. Select the total hours and paycheck.
Answer:
If the numbers under the days of the week are the hours worked then the answers are Sue-40,$6.75,$270 Jerry-30,$5.15,154.5 Sam-38.75,$8.75,339 Step-by-step explanation:
Just add up the number of hours worked and multiply by the rate.