If you know your derivative rules, then
d/dx [1/x] = -1/x ²
so that when x = 6, the derivative has a value of -1/36.
If you have to use the definition of the derivative, then
d/dx [1/x] = lim {h → 0} (1/(x + h) - 1/x) / h
… = lim {h → 0} (x - (x + h)) / (hx (x + h))
… = lim {h → 0} (-h) / (hx (x + h))
… = lim {h → 0} (-1) / (x (x + h))
… = -1/x ²
and at x = 6, you again get -1/36.
Alternatively, use the definition of the derivative at a point:
d/dx [1/x] (6) = lim {x → 6} (1/x - 1/6) / (x - 6)
… = lim {x → 6} ((6 - x) / (6x)) / (x - 6)
… = lim {x → 6} -(x - 6) / (6x (x - 6))
… = lim {x → 6} (-1) / (6x)
… = -1/36
Determine the AMPLITUDE and the MIDLINE of the sine function below.*
1 poin
y = – 3sin(2x) - 5
a. Amplitude = -3, Midline = -5
b. Amplitude = 3, Midline 5
c. Amplitude = 3, Midline - 5
d. Amplitude = 2, Midline = – 3
O a.
Step-by-step explanation:
Amplitude of the sine function is 1.
So if its multiplied by -3, its amplitude is 3 (its always positive).
The midline of sin x is 0.
The midline of sin 2x is also 0.
The midline of -3*sin 2x is also 0.
So if you subtract this function by 5, then the new midline is -5.
The Rodriguez
family is on a
vacation. They
started with $1,875.
They have spent
$140 each day and
have $895 left for the
rest of their vacation.
Write and solve an
equation to find how
many days have they
been on their
vacation already?
Write the missing decimal so that each pair adds to 1/2 + ...= 1
Answer:
0.5
Step-by-step explanation:
1/2 + 0.5 = 1
20.) Using the cross multiplication method, which of the following is the solution to 18/6x = 4/(x+3)?
a)9
b)-9
c)12
d)-12
Answer:
B. 9
Step-by-step explanation:
Which conic section is represented by the following equation? 9x^2 – 5x – 3y^2 – 2y + 4 = 0
Answer:
D. Hyperbola
Step-by-step explanation:
I put B but it was wrong
D is the right answer
The given equation is represent a ''Hyperbola''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ 9x² - 5x - 3y² - 2y + 4 = 0
Now, We know that;
The standard form of the equation is,
⇒ ax² + by² + 2gx + 2fy + 2hxy + c = 0
For Hyperbola, The condition is,
⇒ h² > ab
For Ellipse , The condition is,
⇒ h² < ab
Here, We have;
⇒ h = 0
⇒ a = 9
⇒ b = - 3
⇒ ab = 9 x - 3 = - 27
⇒ h = 0
Hence, We get;
⇒ 0 > - 27
⇒ h² > ab
Thus, This equation is represent a ''Hyperbola''.
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Point A is located at (4,0) and is reflected in the x-axis. What are the coordinates of point A'?
O (0,4)
0 (0,-4)
O 1-4,0)
O (4,0)
Answer:
(4,0)
Step-by-step explanation:
-8h+z/7
Use z=21 and h=4
Answer:
Hope this helps
Step-by-step explanation:
Question 3: Add 9 to 5 times n to get 3 is reprented as
Answer:
5n + 9 = 3
I hope im right!!
how many millimeters are in 7 liters
7 liter = 7000000 cubic millimeters
A salt mixture has 8 parts water and 2 parts salt. Suppose one part of each is added. What is the new ratio of salt to
water?
O 2 to 9
O 3 to 8
03 to 9
O. 9 to 3
Answer:
3 to 9 I guess...................
Simplify 9р – 2р +р
Answer:
8P
Step-by-step explanation:
Answer:
8p
Step-by-step explanation:
9р – 2р +р
7p+p
8p
What is the slope of the line that passes through (0, -4) and (6,4)? *
3/4
4/3
0 -3/4
- 4/3
ANSWER:
The Slope to your answer is 4/3
Instead I’d using the values 1,2,3,4,5,6 on dice, suppose a pair of dice have the following 1,2,2,3,3,4 on one die and 1,3,4,5,6.8 on the other.find the probability of rolling a sum of 12
Answer:1/24
Step-by-step explanation:
Since the first die has 4 distinct numbers, and second has 6 distinct numbers, so total number of combinations possible = 4 × 6 = 24
Now, the number of chances where we get the rolling sum as 12 is only one. (
Therefore, the probability of getting sum 12 is 1/24
Answer:
1/36
Step-by-step explanation:
For the acellus people
What is one method to find the measure of angle B?
A. use the Pythagorean theorem to find BC, then solve the equation tan(B)=8/BC
B. because of the 30-60-90 triangle theorem, you know the measure of angle B is 60
C. solve the equation cos(B)=8/89(square rooted)
The answer is A
Answer:
A
Step-by-step explanation:
edg2021
One method to find angle B is A. use the Pythagorean theorem to find BC, then solve the equation tan(B)=8/BC.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given is a right angled triangle ABC with the hypotenuse being AB and the legs AC is the base and BC is the height.
Given AC = 8 and AB = √89.
We need to find the measure for angle B.
Either we can find angle B using Sin B = Opposite side / hypotenuse
Sin B = 8 / √89
But this is not in the option.
So first find the length of BC using the Pythagoras Theorem.
(BC)² = (AB)² - (AC)²
= (√89)² - (8)²
= 25
BC = √25 = 5
We get the opposite side and adjacent side with respect to angle B.
Tan B = AC / BC = 8 / 5 = 1.6
B = 57.99° ≈ 58°
Hence the approximate measure of angle B is 58°.
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Complete the table for y=1/5x+1 and graph the resulting line
Answer:
x=-5 y=0
x=0 y=1
x=5 y=2
x=10 y=3
Which equation can be used to find the volume of the cylinder?
A cylinder with a radius of 6 centimeters and a height of 8 centimeters.
V = pi (6) squared (8)
V = pi (12) squared (8)
V = pi (8) squared (6)
V = pi (8) squared (8)
Answer:
I think it's A. V = pi (6) squared (8)
(I'm so sorry if it's wrong)
Hope this Helps!
caroline can sketch 5 cartoon strips in two hours. How long will it take her to sketch 20 strips
Answer:
8 hours
Step-by-step explanation:
20÷5 = 4
4×2 = 8
Hope this Helps!
:)
Find the surface area of the cylinder: Use 3.14 for
2 cm
15 cm
A. 100.48 cm
B. 97,43 cm
C. 36.28 cm
D. 33.14 cm
2 of 4 Answered
Answer:
Well on my end i got 47.12, with pi included
Step-by-step explanation:
The surface area of the cylinder with the diameter 2cm and height 15cm is [tex]100.48 \; cm^2[/tex]
Calculation to find Surface area of cylinder:
Given the diameter of the cylinder is 2cm and height 15cm
Formula :
The surface area of the cylinder =[tex]2\pi r^2+2\pi rh[/tex]
where 'r' is the radius and 'h' is the height of the cylinder
Diameter = 2cm
[tex]radius =\frac{diameter }{2} =\frac{2}{2} =1[/tex]
radius = 1cm and height is 15 cm
the value of pi is 3.14
Substiute all the values
[tex]SA = 2\pi r^2+2\pi rh\\SA=2(3.14)(1)^2+2(3.14)(1)(15)\\SA=6.28+94.2\\SA=100.48 cm^2[/tex]
The surface area of the cylinder with the diameter 2cm and height 15cm is [tex]100.48 \; cm^2[/tex]
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What is the range of y=the squareroot of x+7+5
The range of the function is the set of all positive real numbers, or y > 0.
What is the range of a function?The range of a function is the set of all possible values that the function can output.
The function is given in the question as:
y = √(x+7+5)
In the case of the function y = √x + 7 + 5, the range is the set of all possible values of y that can be obtained by substituting different values of x into the function.
To find the range of this function, we need to consider the values of x that can be used in the function. The square root of a number must be non-negative, so x must be greater than or equal to 0.
In other words, the domain of the function is x ≥ 0.
We can now substitute different values of x into the function to find the range.
For example, if x = 0, then y = √0 + 7 + 5 = 7 + 5 = 12. If x = 1, then y = √1 + 7 + 5 = 8 + 5 = 13. And so on.
We can see that as we increase the value of x, the value of y also increases. This means that the range of the function is the set of all positive real numbers, or y > 0.
Therefore, the range of y = √x + 7 + 5 is y > 0.
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Answer: b - edge
Step-by-step explanation:
Simplify each of the fractions. If there is no answer, enter "undefined."
C. 16/0
Do you like penguins? btw does 1-5=3
Answer:
I like looking and drawing a penguins
Step-by-step explanation:
And no 1-5 is not 3, it is -4
I need help with this geometry question
Answer:
24
Step-by-step explanation:
2 log x + log 11
WILL MARK BRAINLIEST
Answer:
[tex] log(11 {x}^{2} )[/tex]
Step-by-step explanation:
[tex]2logx + log11 \\ \\ = log {x}^{2} + log11 \\ \\ = log( {x}^{2} \times 11) \\ \\ = log(11 {x}^{2} )[/tex]
The Equivalent value of 2 log x + log 11 is log(11x²).
What is Logarithm?The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms can also be represented as multiplication and division of logarithms.
We have to find the value of 2 log x + log 11.
Using the property
log a + log b = log (ab)
and, 2 log a = log a²
So, 2 log x + log 11
= log x² + log 11
= log( x² × 11)
= log(11x²)
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There are 204 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 42 fans?
Answer:
there will be 5 busses or 4.8 needed
In Sally's grade, there are 60 students. Currently, 10% of them are enrolled in health. How
many students are enrolled in health?
Answer:
6 Students
Step-by-step explanation:
10% of 60 is 6.
Fire works are fired vertically upwards from a platform 10 feet above the ground and with an initial velocity of 96 feet per second what is the highest possible point for the fireworks to explode
Answer:
Here is the answer
Step-by-step explanation:
The highest possible point for the fireworks to explode is to be considered as the 154 feet.
Calculation of the highest possible point:Since the equation is
[tex]h = -16t^2 + 96t 10[/tex]
Now based on this, we have to determine the axis of symmetry
So,
[tex]t = -b \div 2a\\\\= -96 \div 32[/tex]
= 3
Now
[tex]= -16(3)^2 + 96(3) + 10[/tex]
= 154 feet
hence, The highest possible point for the fireworks to explode is to be considered as the 154 feet.
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URGENT HELP!!! PLEASE!!!
Which number is between 0.4 and 0.5?
A 0.04
(В
0.44
0.05
0.50
suppose you deposit $1000 in a savings account that pays 4.8% interest compounded monthly. Write an exponential function to model the amount of money in your savings account. How much will you have in your account after 2 years?
Answer:
The exponential function is [tex]A(t) = 1000(1.004)^{12t}[/tex].
You will have $1,100.55 in the account after 2 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.
This means that [tex]P = 1000, r = 0.048, n = 12[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 1000(1 + \frac{0.048}{12})^{12t}[/tex]
[tex]A(t) = 1000(1 + 0.004)^{12t}[/tex]
[tex]A(t) = 1000(1.004)^{12t}[/tex]
This is the exponential function
How much will you have in your account after 2 years?
This is A(2). So
[tex]A(2) = 1000(1.004)^{24} = 1100.55[/tex]
You will have $1,100.55 in the account after 2 years.
What is the slope of this graph? I WILL GIVE BRAINLIEST PLSSSS 100 points 3,2 1,4
Step-by-step explanation:
Slope = -5/5 = -1
Answer:
m=-1
Step-by-step explanation:
Slope is equal to the change in
y, over the change in x, (or rise over run)
pick any two points on the line to apply to this formula.
m= 3-(2) / 2-(3)
m=-1