Let f be differentiable such that f(-2)=3,f(3)=5, f'(-2)=4 and f'(3)=6. Let g be differentiable functions such that g(x)=f^-1 (x) for all x. What is the value of g'(3)
Answer:
[tex]g'(3)=\frac{1}{4}[/tex]
Step-by-step explanation:
There is a rule in calculus that tells us that:
[tex]g'[f(x)]=\frac{1}{f'(x)}[/tex]
In this case, we know that f(-2)=3, therefore:
g'(3)=g'(f(-2))
So, if we used the rule, we would get that:
[tex]g'[f(-2)]=\frac{1}{f'(-2)}[/tex]
we know that f'(-2)=4, so:
[tex]g'[f(-2)]=\frac{1}{4}[/tex]
or:
[tex]g'[3]=\frac{1}{4}[/tex]
You have 192 grams of a radioactive kind of iodine. How much will be left
after 28 hours if its half-life is 7 hours?
Answer:
192/2= 96 g after 7h
96/2=48 g after 14h
48/2= 24 g after 21h
24/2= 12 g after 28hMultiply
7x(x^- x+2)
Rewrite (7x−2) 2 (7x-2) 2 as (7x−2) (7x−2) (7x-2) (7x-2).
(7x−2) (7x−2) (7x-2) (7x-2)
Expand (7x−2)(7x−2)(7x-2)(7x-2) using the FOIL Method.
Apply the distributive property.
7x (7x−2) −2 (7x−2) 7x (7x-2)-2 (7x-2)
Apply the distributive property.
7x(7x)+7x⋅−2−2(7x−2)7x (7x)+7x⋅-2-2(7x-2)
Apply the distributive property.
7x(7x)+7x⋅−2−2(7x)−2⋅−27x(7x)+7x⋅-2-2(7x)-2⋅-2
Simplify and combine like terms.
Simplify each term.
Multiply xx by xx.
7⋅7x2+7x⋅−2−2(7x)−2⋅−27⋅7x2+7x⋅-2-2(7x)-2⋅-2
Multiply 77 by 77.
49x2+7x⋅−2−2(7x)−2⋅−249x2+7x⋅-2-2(7x)-2⋅-2
Multiply −2-2 by 77.
49x2−14x−2(7x)−2⋅−249x2-14x-2(7x)-2⋅-2
Multiply 77 by −2-2.
49x2−14x−14x−2⋅−249x2-14x-14x-2⋅-2
Multiply −2-2 by −2-2.
49x2−14x−14x+449x2-14x-14x+4
Subtract 14x14x from −14x-14x.
49x2−28x+4
help asap please!!!!
M is the midpoint of AB. The coordinates of A are (-2,3) and the coordinates of M are (1,0). Fine the coordinates of the other endpoint, point B.
How do I find the solution to 1 = r /12 ?
Answer:
first, you have to multiply out the 12, to isolate the r. so multiply 12 to both sides to get:
r= 12
Step-by-step explanation:
i hope this helps :)
Handy Dandy grocery is having a sale this week. If you buy a five pound bag of apples for the regular price $2.99. You can get another bag for $1.79.
Answer:
The answer is below
Step-by-step explanation:
A grocery store is having a sale this week. If you buy a 5-pound bag of apples for the regular price, you can get another bag for $1.79. If you buy a 5-pound bag of oranges at the regular price, you can get another bag for $2.49. Write an equation to find the discount for each situation.
Regular price for apples is $2.99
Regular price for oranges is $3.99
Solution:
The original price of the apples = $2.99 , price at a discount = $1.79
Discount for A= original price - price at a discount = $2.99 - $1.79
Discount for A= $1.20
x = ($1.79 / $2.99) * 100% = 59.9%
Discount in percentage = 100% - 59.9% = 40.1%
The original price of the orange = $3.99 , price at a discount = $2.49
Discount for R = original price - price at a discount = $3.99 - $2.49
Discount for R = $1.50
x = ($2.49 / $3.99) * 100% = 62.4%
Discount in percentage = 100% - 62.4% = 37.6%
Solve for x*
please help
Answer:
B
Step-by-step explanation:
∠ AEB and ∠ ADC are corresponding angles and are congruent, then
3x - 10 = x + 40 ( subtract x from both sides )
2x - 10 = 40 ( add 10 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
y = (x + 4)(x - 1) what is the x intercept
(−4,0), (1,0)
There hope this helped
Use the simple interest formula to find the interest earned and the ending balance. I = Prt
1. $48,000 at 3% for 6 years
Answer:
8640
Step-by-step explanation:
I = Prt
I = (48000)(0.03)(6)
I = 8640
Jami deposits $800 in her bank account which collects 2% interest annually. How much total money will she have in her bank account after three years?
Answer:
$848
Step-by-step explanation:
800 x .02 x 3
800 is the input
.02 is the interest but rule is to move the decimal over
3 is the 3 years
I checked this with an interest calculator and its correct
https://www.dollartimes.com/savings/800
^thats the interest calculator if u need u can copy paste into ur browser^
Answer:
$848
Step-by-step explanation:
A bird drops a stick to the ground from a height of 92 ft. The function
h= -167 +92 gives the stick's approximate height h above the ground, in feet,
after t seconds. Graph the function. At about what time does the stick hit the
ground? Use inequalities to describe a reasonable domain and range for the
function.
Answer:
B
Step-by-step explanation:
find the value of given expression
[tex] \sqrt{56 - 7} [/tex]
Answer:
± 7
Step-by-step explanation:
Given
[tex]\sqrt{56-7}[/tex]
= [tex]\sqrt{49}[/tex]
= + 7 or - 7 , that is ± 7
Answer:
±7
Step-by-step explanation:
56 - 57
______
gives you 49
which then turns into ±7
⇒⇒⇒Hope this helps!
[tex]16z - (-12z) =[/tex]
Answer:
4
Step-by-step explanation:
What is the surface area of a dome (a half sphere) with a radius of 6 meters?
72 pi meters squared
48 pi meters squared
24 pi meters squared
144 pi meters squared
Answer: 72π meters squared.
Step-by-step explanation: Given that the radius is 6 meters, use the sphere surface area formula to find the surface area of the half-sphere;
Replace the value in the formula: A=4πr² → A=4π6²Solve the exponent first: A=4π6² → A=4π36The order of the multiples does not affect the total, so we can multiply 4 times 36 first: A=4π36 → A=144π144π is the surface area of the whole sphere, so half the sphere will be 72π. In conclusion, the surface area of the dome will be 72π meters squared.write 24 minutes to 3 hours as a ratio in its simplest form
3 hours = 180 minutes
So, 24:180.
Simplified: 1:5
Hope this helps; have a great day!
The vertex form of the equation of a parabola is y = 2(x+ 3)2 - 5.
What is the standard form of the equation?
Answer:
y = 2x² + 12x + 13
Step-by-step explanation:
Zack drew a scale drawing of a house and its lot. The backyard is 15 inches wide in the drawing. The actual yard is 24 feet wide. What scale did Zack use for the drawing?
Answer:
5 ÷ 96Step-by-step explanation:
The scale is
15 in ÷ 24 feet = 15 in ÷ 24*12 in =15 in ÷ 288 in =5 in ÷ 96 in = 5 ÷ 96Convert 24ft to in
1ft=12in24ft=24(12)=288inScale used
15/2885/965:96Solve the following 1/2a + b
If a=10 b = 7 *
Answer:
1/2 × 10 + 7
=5+7
=12
..................
Answer:
12
Step-by-step explanation:
1/2a+b=
1/2*10 + 7 =
5+7= 12
Indicate whether each statement about linear functions A and B shown below is true or false by checking the appropriate box in the table.
Function A
Function B
2
3
4
3
2
11
15
19
+
5
<
Statement
True
False
The rates of change for both Function A and Function B are positive.
The rate of change for Function A is 3 times the rate of change for Function B.
The intercepts for both Function A and Function B are positive
The product of , and the sum of a number and - 4 is less than or equal to 64.
What are all the possible values of the number? Show your work.
Answer:
6
Step-by-step explanation:
The perimeter of a rectangle is 36 meters. If the length of the rectangle is 10 meters, what is the width (in meters)?
PLEASE HELP ME IM BEGGING ITS DUE IN 10 MINUTES
Answer:
wow good luck mines due in 5 mins and im stuck hahah
Step-by-step explanation:
help please :,)
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
Α.Rx) = (x + 6)(x-4)
B. Rx) = (x + 6)(x+4)
C.f(x) = (x - 6)(x + 4)
D.f(x) = (x-6)(x - 4)
Answer:
I think the answer is c
Step-by-step explanation: hope i was a help
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Answer:
Step-by-step explanation:
Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.
Answer:
[tex]\frac{32}{3} \pi \\v= 33.5[/tex]
Step-by-step explanation:
[tex]v=\frac{4}{3} \pi r^{3}[/tex]
[tex]v= \frac{4}{3} \pi 2^{3} \\\\v=\frac{4}{3} \pi 8\\v=\frac{32}{3} \pi \\v= 33.5[/tex]
In ΔCDE, the measure of ∠E=90°, the measure of ∠C=83°, and DE = 8.6 feet. Find the length of EC to the nearest tenth of a foot.
Answer : 1.0559≈1.1 feet
What does the mode represent in a set of numbers?
Answer:
The mode is the number that shows up the most in the set.
Step-by-step explanation:
1 4 6 3 7 1 1 4 9 1
mode is 1
The mode represents the most frequent number that is, the number that occurs the highest number of times in a set of numbers.
Given that,
Define the term 'Mode'.
Since, The mode, in a set of numbers, represents the value that appears most frequently.
It is a measure of central tendency, providing insights into the most common or popular value within the data set.
For example, let's consider the set of numbers: 3, 5, 5, 1, 2, 4, 5, 3, 5, 6.
In this set, the mode is 5 because it appears more frequently than any other number.
So, The mode, in a set of numbers, represents the value that appears most frequently.
To learn more about the mode visit:
https://brainly.com/question/29288774
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what is the slope of the line in the graph shown below ?
Answer:
-1/4
Step-by-step explanation:
The line is going down to the right so it is negative and the rise and run from seems to be rise 1, run 4 units, so the slope is rise/run so - 1/4
7 inches, 8 inches, 9 inches will these lengths form a triangle
Answer:
Yes
Step-by-step explanation:
If we use the triangle inequality theorem, then we would have:
7+8 > 9
HOPEE THIS HELPS
How many hours do Max and Sasha exercise per week?
Max and Sasha exercise a total of 20 hours each
week. Max exercises 15 hours less than 4 times
the number of hours Sasha exercises. The system
x+y= 20
of equations
x - 4y = --15
represents this
situation, where x represents the number of hours
Max exercises and y represents the number of
hours Sasha exercises. How many hours do Max
and Sasha exercise per week?
I will give you brainilest.
You might think that the angle between the hour and minute hand at 2:20 is 60 degrees, but it is not! The hour hand has moved beyond the 2. Calculate the angle between the clock hands at 2:20.
Answer:
70 degrees
Step-by-step explanation:
Moving from one hour number to the next (12 to 1, 3 to 4, etc) moves the hand of the clock 30 degrees. Using this, we know that the hour hand moved 60 degrees to get to the hour number 2. Then, the angle the hour hand moved because of the minute hand can be calculated by doing (20/60)*30=10. So the final answer would be 70 degrees.