Answers
Hello, one way to see it is as below
[tex]\displaystyle F(2)-F(1)=\int_1^2 F'(t) dt=\int_1^2 G'(t) dt=G(2)-G(1)[/tex]
Another way is to notice that F'(x)=G'(x) means that F(x) and G(x) are only different from a real constant that we can note a, it means that
[tex](\forall x \in \mathbb{R}) \ (F'(x)=G'(x)) => (\exists a \in \mathbb{R});(F(x)=G(x)+a)[/tex]
and then F(2)-F(1)=G(2)-G(1)
thanks
Related Questions
Please help me with this, ASAP. Please and thank you! D:
Answers
If your able to of course
Help mr///////)()&&)&!!,;$?&&,;)$,५$,(७,
A lorry travels 30 kilometers per ahour. if it takes 45 minutes to reach a certain journey how long is the journal?
Answers
Answer:
his journey was 22.5 kilometers long.
Step-by-step explanation:
Answer:
Step-by-step explanation:
distance = speed x time
? = 30 x 45
distance = 1350
How would you answer this question?
Answers
Answer: Choice B
If you lower your rates by 6% you will increase the number of occupancies by 12%
========================================================
Explanation:
Price Elasticity of Demand is found by dividing the percent change of demand over the percent change in price
[tex]\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}[/tex]
If the price drops 6% leads to a 12% increase in demand, then we get this elasticity
[tex]\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\% \text{ increase in demand}}{6\% \text{ drop in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\%}{-6\%}\\\\\text{Price Elasticity of Demand} = \frac{0.12}{-0.06}\\\\\text{Price Elasticity of Demand} = -2\\\\[/tex]
The absolute value of that result is 2. We work backwards going from 2 to see the relationship between the 12% and 6%.
-------------
Side notes:
Choice A is incorrect as a price elasticity of demand larger than 2 means we have elastic (rather than inelastic) demand. Choice C is incorrect because while raising rates does bring in more money in certain situations, there's a limit to how much the price goes up before people stop showing up. The prices can't go up forever. Also, the fact we have an elastic product means people are either forgoing this hotel or finding a substitute.Choice D is incorrect. Products with high demand elasticity usually have substitutes. Any slight change in the price leads people to seek cheaper options. Unless we're dealing with a small town there are usually multiple hotels to choose from.I need help with questions 41
Answers
F= -9 + 32
F= 23
d. 23° F
-11 = v/8 - 9 Help me solve please
Answers
Answer:
v= -16
Step-by-step explanation:
-11 = v/8 - 9
-11=v-72/8
-11*8=v-72
-88=v-72
-88+72=v
v=-16
Can some one solve it for me please
Answers
Answer:
C
Step-by-step explanation:
Let the age of the older girl be y and the age of the younger girl be x.
The sum of their ages is 27.
x + y = 27
The older girl is 6 years older than twice the age of the younger girl.
twice the age of younger girl = 2x
y = 6 + 2x
Find the midpoint of segment AB with A (2, 0) and B (-6, 12)
Answers
Find the midpoint of segment AB with A (2, 0) and B (-6, 12)
True or False: All lines are functions. If false give an example of a line that is not a function.
Answers
Answer:
False, all lines are not functions.
Step-by-step explanation:
Vertical lines are not functions since they do not pass the vertical line test. In this case, one x-coordinate relates to several y-coordinates.
Find the distance between A (-2, 4) and B (-6, -7). Leave your answer in exact (radical) form
Answers
Answer:
The answer is
[tex]\sqrt{137} \: \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A (-2, 4) and B (-6, -7).
The distance between them is
[tex]d = \sqrt{ ({ - 2 + 6})^{2} + ({4 + 7})^{2} } \\ = \sqrt{ {4}^{2} + {11}^{2} } \\ = \sqrt{16 + 121} \\ = \sqrt{137} \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
[tex] \sqrt{137} \: \: \: \: units[/tex]
Hope this helps you
3(2+2)-6(5+11) How long did Johnny ran
Answers
Answer:
-84
Step-by-step explanation:
Simplify the expression: –7(5 − u)
Answers
Answer:
-7(5-u)
Step-by-step explanation:
-7(5-u)
-7x5 -7x-u
-35+7u
Answer:
-35+ 7u
Step-by-step explanation:
Distribution Property
distribute the first time by the 2 terms in the parenthesis
-7×5 and -7u
-35 - (-7u)
-35+ 7u
Ralph chase plans to sell a piece of property for $145000. He wants the money to be paid off in two ways a short term note at 11% interest and a long term note at 8% interest. Find the amount of each note if the total annual interest paid is $13850.
Answers
Given :
Price of property , P = $145000 .
Money paid off in two ways a short term note at 11% interest and a long term note at 8% interest.
Total interest , I = $13850 .
To Find :
The amount of each note .
Solution :
Let , x money is paid off in 11 % interest rate and ( 145000-x) in 8% interest rate.
Therefore , their sum of interest in mathematics is given by :
[tex]\dfrac{11x}{100}+\dfrac{8(145000-x)}{100}=13850\\\\11x+1160000-8x=1385000\\\\3x=225000\\\\x=\$75000[/tex]
Therefore , the amount of note is $75000 and $70000 for 11% and 8% interest rate respectively .
Hence , this is the required solution .
What is one factor of 30x2 − 33x + 3?
2x − 1
4x + 2
5x − 4
10x − 1
Helpppppppppp
Answers
Answer:
10x - 1
Step-by-step explanation:
30x^2 − 33x + 3 =
= 3(10x^2 - 11x + 1)
= 3(10x - 1)(x - 1)
Answer: 10x - 1
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of (g circle f) (x)?
Answers
Answer:
Domain of a function means the set of values of the variable for which the given function exists.
(g circle f) (x) means g{f(x)}.
g{f(x)} will exists for all the real values of x except x = 7 and that particular x for which f(x) = -3.
Hence the domain of g{f(x)} will be all real values except x = 7 and the x for which f(x) = -3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Express the set using the roster method.
{x | XEN and 15 sxs 50}
Choose the correct answer below.
A. {15, 16, 17, 18, ..., 50}
B {16, 17, 18, 19, ..., 50)
C. Ø
D. {..., 12, 13, 14, 51, 52, 53, ...}
Answers
I think you meant to write [tex]\{x | x \in \mathbb{N} \text{ and } 15 \le x \le 50\}[/tex]
If so, then the answer is Choice A. {15, 16, 17, 18, ..., 50}
We simply list every natural number from 15 to 50, including both endpoints. The three dots mean "continue this pattern". This way we don't literally have to write out every single value (there are 50-15+1 = 36 values in this set).
Note: the set of natural numbers is {1,2,3,...} so a natural number is basically a whole number, but 0 is not included. Negative values aren't included either.
Sam wants to write an equation to represent a
proportional relationship with a constant of proportionali
of 6. He writes the equation y = 6 + X.
Is he correct. If not, what is the correct equation? Explai
your answer. Consider the graph of the equation in your
response
Answers
Answer:
No, Sam is not correct. The graph of a proportional relationship has the form y = kx, where k is the constant of proportionality. Sam added the constant of proportionality instead of using it as the coefficient of x. The correct equation is y = 6x. Sam’s graph would be a straight line, but it would not pass through the origin.
Step-by-step explanation:
on edge :)
Find the indicated length
Find DE
Answers
Steps: If the entire length is 27 and AD is 18 then you subtract 18 from 27 and you are left with 9
Laney walks 2 1/3 miles to school from her house and rides the bus home. If she walked five days
last week, how many total miles did Laney walk?
Answers
Answer:
The answer is 35/3. I hope it helps you....
Answer:
[tex]\frac{35}{3}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{3}[/tex] × [tex]\frac{5}{1}[/tex] = [tex]\frac{7}{3}[/tex] × [tex]\frac{5}{1}[/tex] [tex]\frac{7}{3}[/tex] × [tex]\frac{5}{1} = \frac{35}{3}[/tex]I hope this helps!
Divide. 15÷−5 Drag and drop the correct number into the box to complete the sentence. The quotient is Response area.
Answers
Answer:
15÷-5=-3
Step-by-step explanation:
You make $38,000 per year. You have been offered a promotion and a $5,000 raise per year. Your average federal income tax rate will go up from 12% to 16% per year. Should you take the new job and the raise? how many weeks are in a year
Answers
Answer: yes
Step-by-step explanation:
The value of y varies directly with x. If x = 7, then y = 84 . What is the value of x when y = 60 ?
Answers
Answer:
if y=60 then x=5
Step-by-step explanation:
im in college Algebra if you need help just ask
Complete the pattern—- 9.5 950 95,000 —- ——
Answers
Answer:
9,500,000 950,000,000
Step-by-step explanation:
Each number is 100 times the previous. Basically, add 2 zeros to get the next number.
9.595095,0009,500,000950,000,000The heights of tomato plants are Normally distributed with About % of tomato plants have a height
a mean of 3.56 feet and a standard deviation of 0.25 feet.
between 2.98 feet and 3.48 feet. Round the percent to 2
About what percent of tomato plants have a height decimal places, if necessary
between 2.98 feet and 3.48 feet?
Use the z-table to answer the question.
Answers
Answer:
36.43
Step-by-step explanation:
In normal distribution(z) tomato plants have a height of less than 2.58 feet is 1.017%.
What is a normal distribution?The normal distribution is a "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
The heights of tomato plants are Normally distributed.
Mean(μ) = 3.56
Standard deviation (σ) = 0.25
For a tomato plant that has a height of 2.98 feet
In order to find the Percentage of tomato plantof s have a height less than 2.98 feet
Standard Normal Distribution Formula,
z = (x-μ)/σ where X~(μ,σ).
( 2.98 - 3.56 ) / 0.25 =-0.58 / 0.25 = -2.32.
P ( x < 2.58 ) = P( z < -2.32 )
= 0.01017( Using standard Normal distribution table)
Find the percentage of tomato plants with have a height of fewer than 2.58 feet is
Multiply 0.01017 by 100
= 0.01017 x 100 %
= 1.017%
Hence, using Standard Normal distribution we find tomato plants have heights less than 2.58 feet is 1.017%
To learn more about Normal distribution here
brainly.com/question/11893722
#SPJ2
A man ordered 4 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.34 per box, and felt-tip pens cost $3.41. If the man's order of pens totaled $83.08, how many boxes of each type of pen did he buy?
Answers
Find the value of tan A
Answers
Answer:
Yellow: [tex]\frac{8}{15}[/tex]
Step-by-step explanation:
tangent = opposite [tex]\div[/tex] adjacent
Opposite A = 16
Adjacent A = 30 (Not 34, since that is the hypotenuse or the longest line in the triangle)
Thus, tan A = [tex]\frac{16}{30} =\frac{8}{15}[/tex]
Answer:
8/15
Step-by-step explanation:
Since this is a right triangle
tan theta = opp/ adj
tan A = 16/ 30
tan A = 8/15
Use the number line to plot the numbers. Then arrange them in order from smallest (1) to largest (4). V0.2 V0.4
Answers
Answer:V0.2=3. V0.4=4. 0.2=1. 0.4=2
Step-by-step explanation:
Answer:
3
4
1
2
Step-by-step explanation:
PLEASE HELP IF YOU CAN!!Graph this line using the slope and y-intercept:
y = -1/3x + 10
Click to select points on the graph.
1041
8
6
4
2
X
-10
-8
-6
-4
-2
0
2
4.
6
8
10
-2
--4
-6
-8
-10
Answers
Answer: Graph (0,10) and (3,9).
Step-by-step explanation: The equation is written in slope-intercept form (y=mx+b). b represents the y-intercept.
So you would graph (0,10) on the graph.
To find the other points, you can use the triangle method for finding slope. -1/3x is the slope. -1 means you go down by one space on the y line. 3 means you go right by 3 spaces on the x line. This leads you to the point (3,9). You can use this method to find the other points on the graph.
7th grade math HELP! WILL MARK BRAINLIEST!
Answers
Answer:
1/2
Step-by-step explanation:
Triangle B has a scale factor 1/2, so the side length will be 1/2 of Triangle A
someone please give me all the answers!
Answers
Answer:
Step-by-step explanation:
1.=71
2.=25
3.=28
4.=15 (is the sybmbol at the end is division it is 8)
5.=68/17
6.=48/9
7.=96 (if the symbol at the end is division it is 106)
8.=30
Write the equation of a line in slope intercept form that passes through (2,4) and (-7,8)
Answers
Answer:
y = -4/9x + 44/9
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
m = ( 8-4)/( -7-2)
= 4/-9
= -4/9
The slope intercept form is
y = mx+b
y = -4/9 x+b
Substitute a point into the equation
4 = -4/9 * 2 +b
4 = -8/9+b
36/9 = -8/9 +b
Add 8/9 to each side
36/9 + 8/9 = -8/9 + 8/9 +b
44/9 = b
y = -4/9x + 44/9
