Answer:
C. [tex]\frac{f(b)-f(1)}{b-1}=20[/tex]
General Formulas and Concepts:
Calculus
Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]MVT is also Average ValueStep-by-step explanation:
Step 1: Define
[tex]f(x)=e^{2x}[/tex]
f'(c) = 20
Interval [1, b]
Step 2: Check/Identify
Function [1, b] is continuous.
Derivative [1, b] is continuous.
∴ There exists a c∈[1, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]
Step 3: Mean Value Theorem
Substitute: [tex]20=\frac{ f(b)-f(1)}{b-1}[/tex]Rewrite: [tex]\frac{ f(b)-f(1)}{b-1}=20[/tex]And we have our final answer!
decide whether the sequence Is a arithmetic, geometric, or neither 5,1,-3,-7
Answer:
Arithmetic
Step-by-step explanation:
5-4=1
1-4=-3
-3=4=-7
i need help please. thanks!
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
8x + 2 + 70 + 60 = 180
Step 2: Solve for x
Combine like terms: 8x + 132 = 180Subtract 132 on both sides: 8x = 48Divide 8 on both sides: x = 6And we have our final answer!
Factor completely: 1-1/8p^3
Answer:
the answer is on the picture
Step-by-step explanation:
a = 1 and b = [tex]\frac{1}{2}p\\[/tex]
(1- [tex]\frac{p}{2}[/tex]) [tex]\frac{1}{4}[/tex] (4+ 2p +p^2)
I really need help with these two questions ASAP
Answer:
22) 7d+ 4d-23y
=11d -23y
25) =n-6t
Among us?
Dndkxjdjjdskskskdkx what’s 5*5-8
Answer:
17
Step-by-step explanation:
5×5-8
5×5= 25
25-8=17
i need help with this pls
Answer:
Function 1 is linear
Step-by-step explanation:
A linear is a straight line on the graph.
Use the diagram to find the measures of each angle. Make your thinking visual. Explain your
reasoning.
I need help with number 11 and number 12
Answer:
11) 6
12) 3
Step-by-step explanation:
2 log 2 8
so 2(log2 8)
Base 2 so 2^x=8 so 3.
2*3 is 6.
log a a cubed
base a so a^ x = a^3
x=3
so 3.
Hope this helps ;D
Answer:
6 and 3
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] ⇔ n log x
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
[tex]log_{a}[/tex] a = 1
(11)
let 2 [tex]log_{2}[/tex]8 = n , then
[tex]log_{2}[/tex] 8² = n
[tex]log_{2}[/tex] 64 = n
[tex]log_{2}[/tex] [tex]2^{6}[/tex] = n
[tex]2^{6}[/tex] = [tex]2^{n}[/tex]
Since bases on both sides are equal, equate the exponents, that is
n = 6
(12)
[tex]log_{a}[/tex] a³
= 3 [tex]log_{a}[/tex] a
= 3 × 1
= 3
7. What is the solution to 3 (x - 5)= 5x
-5)= 5x - (3 - x)?
Answer:
Why do you have two equal signs in this question?
what is 55 - 11u =55
Please help me 100 POINTS!
Answer:
1.y=3x
2.y=-3x+4
3.y=1.5x-7
4.y=7
5.y=-1.5x-4
Step-by-step explanation:
1.m=3,b=0
2.m=-3,b=4
3.m=1.5,b=7
4.m=0,b=7
5.m=-1.5,b-4
hope it helps po
Answer:
see below and attached
Step-by-step explanation:
y=3xm = 3
b = 0
y = -3x + 4m = -3
b = 4
y = -1.5x + 7m = 1.5
b = 7
y = 7m = 0
b = 7
y = -1.5x - 4m = -1.5
b = -4
Katy's 4 dogs eat a total of 16 dog biscuits every day. How many biscuits will they eat in 45 days?
180 biscuits
64 biscuits
315 biscuits
720 biscuits
Answer:
720
Step-by-step explanation:
16 times 45
I will give brainliest
A. 2x-1+3x=0
B. 5x-1=0
1) How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract the same quantity to/from both sides
(Choice B) Add/subtract a quantity to/from only one side
(Choice C) Rewrite one side (or both) by combining like terms
(Choice D) Rewrite one side (or both) using the distributive property
Last year during the hurricane season the amount of rain that fell on the texas gulf coast in october was 14 inches which was 3 1/2 times more than the rainfall during the month of september ?
Given :
Last year during the hurricane season the amount of rain that fell on the Texas gulf coast in October was 14 inches which was 3 1/2 times more than the rainfall during the month of September.
To Find :
Amount of rainfall in September.
Solution :
Let, amount of rainfall in September is x.
It is given that rainfall in October is 3 1/2 = 7/2 times of september.
So,
[tex]\dfrac{7}{2}x=14\\\\x = 4\ inches[/tex]
Therefore, rainfall in October is 4 inches.
Hence, this is the required solution.
-4,-7 moved 90 degrees clockwise
Find the total cost to the nearest cent. $44.90 Jacket; 4.5% sales tax
PLZ!!!!!!!!!!!!!! Hurry!!!!!!!!!!
Answer:42.8795
Step-by-step explanation: because their is a easier way. $44.90 - 4.5%=42.8795 i hope this helps you .
Which is the solution to the inequalit? 1/4 +x less than 5/6
Answer:
x<7/12
Step-by-step explanation:
1/4+x<5/6
1/4+x-1/4 < 5/6-1/4
x<10/12-3/12
x<7/12
Simplify
3x + 5 + 2x - 4
Answer:
5x+1
Step-by-step explanation:
When Jeremiah looked at his cell phone bill for the month, he saw that he had spent 2/5 of his minutes talking to his mother and 1/5 of his minutes talking to his best friend. What fraction of the minutes did Jeremiah spend talking to either his mom or his best friend?
Answer:
that would be 3/5 minutes
Step-by-step explanation:
go math chapter 4 riview
Answer:
OKAY
Step-by-step explanation:
Answer:
Okay
Step-by-step explanation:
PLEASE HELP ME!!!! THIS IS DUE TODAY!!!!!!!!
Answer:
sorry but can you put a picture or a question? thanks :)
Step-by-step explanation:
-7[-8-4a]=25+a
A. a= -16
B. a=-5
C. a= -11
D. a=-3
Answer:
-1.48148148
Step-by-step explanation:
-7 x -8 = 56
-7 x -4a = 28a
25-56=-31
27a/-31
a=-1.48148148
Factor 6c - 8d
help please!
Answer:
6c - 8d = 2 (3c - 4d)
Step-by-step explanation:
Factoring
To factor a polynomial, we must find the Greatest Common Divisor (GCD) among all its terms.
The expression to factor is 6c - 8d.
The GCD is found by factoring all terms:
6c : 2,3,c
8d : 2,2,2,d
And take the common divisor between the coefficients and the variables
GCD=2
Thus, the factorization is:
6c - 8d = 2 (3c - 4d)
What equation is graphed in this figure?
A. y−4=−13(x+2)
B. y−3=13(x+1)
C. y+2=−3(x−1)
D. y−5=3(x−1)
Answer:
c. [tex] y + 2 = -3(x - 1) [/tex]
Step-by-step explanation:
By using a point on the line and the slope, we can determine the equation, in point-slope form, that is graphed in the figure.
Using two points, (1, -2) and (0, 1),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{0 - 1} = \frac{3}{-1} = -3 [/tex]
m = -3
Using a point, (1, -2) and the slope (m), we can create an equation for the graph in point-slope form, by substituting x1 = 1, y1 = -2 and m = -3 in [tex] y - y_1 = m(x - x_1) [/tex].
Thus, we would have:
[tex] y -(-2) = -3(x - 1) [/tex]
[tex] y + 2 = -3(x - 1) [/tex]
The equation that is graphed in the figure is:
✔️[tex] y + 2 = -3(x - 1) [/tex]
help me pls i need this done so i pass
Answer: b.
Step-by-step explanation:
What is 1+2333333366666666+55666666666666655555555555587777777777777777777777777777777777799999999999999999+4664644646646=?
Answer: 5.5666667e+79
:)
22
21. Admission to a science museum is $22
for an adult. The cost for a child is $5 less
than the cost for an adult. What would be
the total cost of admission for 12 adults
and 15 children? Explain.
Answer:
519
Step-by-step explanation:
We know the admission for adults is $22, and the kids ticket is 5 less.
22 - 5 = 17
now we know the kids ticket is $17
12 adult tickets - 22 x 12 = 264
15 children - 15 x 17 = 255
264 + 255 = 519
When would you expect the experimental probability of an event to be closest to its theoretical probability?
a. When the results of 10 trials were used in C. When the results of 100 trials were used in
calculating the theoretical probability
calculating the experimental probability
b. When the results of 10 trials were used in d. None of the above, because the experimental
calculating the experimental probability probability is unrelated to the theoretical
probability
Answer: C -when the results of 100 trials were used in calculating the experiment probability
Step-by-step explanation:
Took the assessment right now
Answer:
Step-by-step explanation:
The math says expand 5(2-7x) what is the answer
Step-by-step explanation:
in my opinion
5(2- 7x)
5×2 - 5×7x
= 10-35x
graph the function. label the vertex and axis of symmetry
f(x) = -6x^2 - 4x - 5
Answer:
Vertex is (-1/3, -13/3)
Axis of symmetry is x = -1/3
Step-by-step explanation:
For the vertex, you need to change it into vertex form which is y = a(x - h)^2 + k
Vertex form for this equation is:
Y = -6(x + 1/3)^3 - 13/3
To find the vertex, the formula is (h,k)
So, ( -1/3, -13/3)