Answer:
4.55
Step-by-step explanation:
Average Rate of Change formula :
\(A(x) = \frac{f(b)-f(a)}{b-a}\)
============================================================
Solving :
⇒ A(x) = \(\frac{f(6)-f(3)}{6-3}\)
⇒ A(x) = 22.466436 - 8.81340423 / 3
⇒ A(x) = 13.6530318/3
⇒ A(x) = 4.55 (rounded to 2 decimal places)
Find the average rate of change of the exponential equation from x = 3 to x = 6
f(x) = 2x^1.35
Average = 22.466436 - 8.81340423 / 3Average = 13.6530318/3Average = 4.55 (rounded to 2 decimal)i hope it helps
8. Z W X (13x-7) (8x - 2)° Y m/W = mZX = mZY = m/Z =
The value of angle Z based on the information given will be 110°.
How to calculate the anglesIt should be noted that based on the information, we've to add the angles and equate them to 180°.
Therefore, (13x - 7) + (8x - 2) = 180°
21x = 180 + 9
21x = 189
Divide through by 21
x = 189 / 21
x = 9
Therefore, 13x - 7 will be:
= 13(9) - 7
= 110°
Therefore, Z is 110°.
Learn more about angles on
brainly.com/question/25716982
#SPJ1
express the following limit as a definite integral: lim n→[infinity] n∑i=1 i6/n7=∫b1 f(x)dx
The given limit can be expressed as the definite integral: lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx
To express the given limit as a definite integral, we need to determine the appropriate function f(x) and the integration limits b and 1.
Let's start by rewriting the given limit:
lim (n→∞) (1/n) ∑(i=1 to n) \(i^6/n^7\)
Notice that the term i⁶/n⁷ can be written as (i/n)⁶/n.
Therefore, we can rewrite the above limit as:
lim (n→∞) (1/n) ∑(i=1 to n) (i/n)⁶/n
This can be further rearranged as:
lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶
Now, let's define the function f(x) = x⁶, and rewrite the limit using the integral notation:
lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶ = ∫[a,b] f(x) dx
To determine the integration limits a and b, we need to consider the range of values that x can take. In this case, x = i/n, and as i varies from 1 to n, x varies from 1/n to 1. Therefore, we have a = 1/n and b = 1.
Hence, the given limit can be expressed as the definite integral:
lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx
To learn more about definite integral visit:
brainly.com/question/32525875
#SPJ11
the meal costs $52.95 for 5 people. Jenna ordered a dessert for $2.50. if Jenna deducts this amount from the total how much will each of the other people pay for their meal
Subtract the dessert from the total:
52.95 - 2.50 = 50.45
Now divide that by the number of people:
50.45/5 = 10.09
Each person would pay $10.09
She would pay 10.09 + 2.50 = 12.59
john has walked 15% of the way home from school. if he has walked 54 yards so far, how far does he walk home from school
Answer: John walks a total of 360 yards from school.
Step-by-step explanation:
Let's represent the total distance John walks from school as "x".
According to the problem, John has already walked 15% of the way, which can be written as:
0.15x
We also know that he has walked 54 yards so far, which means:
0.15x = 54
To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:
x = 54 ÷ 0.15
x = 360
Therefore, John walks a total of 360 yards from school.
To know more about total distance refer here
https://brainly.com/question/6516113#
#SPJ11
find the mean proportion between 1/2 nd 1/8
Answer:
It is C or 1/4
Sorry if wrong
Calculate the momentum of a proton moving with a speed of (a) 0.010c, (b) 0.50c, (c) 0.90c. (d) convert the answers of (a)â(c) to mev/c.
The momentum of a proton would be:
(a) For particle moving with speed 0.010c
p = 5.016 × 10^(-21) kgms^{-1}
p = 9.398 MeV/c
(b) For particle moving with speed 0.50c
p = 2.89 × 10^(-19) kgms^{-1}
p = 541.5 MeV/c
(c) For particle moving with speed 0.90c
p = 23.73 × 10^(-19) kgms^{-1}
p = 4446.35 MeV/c
For given question,
We need to calculate the momentum of a proton moving with a given speed.
We know that, the equation for relativistic momentum is,
\(p=\frac{mv}{\sqrt{1-\frac{v^2}{c^2} } }\)
We know, the mass of proton (m) = \(1.67\times 10^{-27}\) kg
(a) For particle moving with speed 0.010c
v = 0.010c
the momentum of a proton would be,
\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.010\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.01^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=5.016\times 10^{-21}~~kgms^{-1}\)
(b) For particle moving with speed 0.50c
v = 0.50c
the momentum of a proton would be,
\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.50\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.5^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=2.89\times 10^{-19}~~kgms^{-1}\)
(c) For particle moving with speed 0.90c
v = 0.90c
the momentum of a proton would be,
\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.90\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.90^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=23.73\times 10^{-19}~~kgms^{-1}\)
Now, we need to convert answers into MeV/c
1 MeV = 1.6 × 10^(-13) kg.m²/s²
⇒ 1 kg.m²/s² = 625 × 10^(10) MeV
1 c = 299,792,458 m/s
⇒ 1 m/s = 3.3356E-9 c
So, 1 kg. m/s = 1.8737259e+21 MeV/c
(a) For p = 5.016 × 10^(-21) kgms^{-1}
⇒ p = 5.016 × 10^(-21) × 1.8737259e+21
⇒ p = 9.398 MeV/c
(b) For p = 2.89 × 10^(-19) kgms^{-1}
⇒ p = 2.89 × 10^(-19) × 1.8737259e+21
⇒ p = 541.5 MeV/c
(c) For p = 23.73 × 10^(-19) kgms^{-1}
⇒ p = 23.73 × 10^(-19) × 1.8737259e+21
⇒ p = 4446.35 MeV/c
Therefore, the momentum of a proton would be:
(a) For particle moving with speed 0.010c
p = 5.016 × 10^(-21) kgms^{-1}
p = 9.398 MeV/c
(b) For particle moving with speed 0.50c
p = 2.89 × 10^(-19) kgms^{-1}
p = 541.5 MeV/c
(c) For particle moving with speed 0.90c
p = 23.73 × 10^(-19) kgms^{-1}
p = 4446.35 MeV/c
Learn more about the momentum here:
https://brainly.com/question/12942930
#SPJ4
The table shows the scores of four players from two rounds of the game. Which player had the greatest change in points of the second round to the third round?
Player representing greatest change of scores from first round to second round is given by player B with a difference of 8 points.
Player with the greatest change in points from the first round to the second round is,
= difference in scores for each player and compare them.
Differences in scores for each player are as follows,
Differences in scores for Player A is
= 16 - 14
= 2
Differences in scores for Player B is
= 8 - 0
= 8
Differences in scores for Player C is
= 12 - 11
= 1
Differences in scores for Player D is
= 11 - 8
= 3
Compare all the scores we have,
1 < 2 < 3 < 8
Therefore, player B had the greatest change in points from the first round to the second round with a difference of 8 points.
Learn more about players here
brainly.com/question/23857247
#SPJ4
The above question is incomplete, the complete question is :
The table shows the scores of four players from two rounds of the game. Which player had the greatest change in points of the first round to the second round?
Players Round 1 Round 2
A 14 16
B 0 8
C 11 12
D 8 11
-3/7 is greater than -2/5
Answer: False
Step-by-step explanation:
-3/7 roughly equals -0.428
-2/5 equals -0.4
-0.4>-0.428
-2/5>-3/7
Please help me with this.
Answer: Angles: 42°, 114°, 24°, 30°, 150°.
Step-by-step explanation:
which functions domain consist of all real numbers except -2
A) f(x)=1/x+2
B)f(x)=2x
C)f(x)=2x-2
D)f(x)=1/√x+2
Answer:
B
Step-by-step explanation:
Which is the correct reason why (x+y)^2 is not equal to x^2+y^2
Answer:
Step-by-step explanation:
It would be easier to just show you.
Because we're using variables, I'm going to plug in a random set of numbers to stand for x and y.
(x+y)^2
(2+4)^2=36
vs.
x^2+y^2
2^2+4^2=20
The difference is because, following the order of operations, in the first situation you must first take care of what is in the parenthesis, which means you add x and y together-then you multiply that combined number by the 2nd power. Whereas in the second situation, you multiply x and y by the 2nd power separately, and then add the product of that together. So opposite order. In the first situation you add, then multiply. In the second, you multiply then add.
for a population with a standard deviation of σ = 6, what is the z-score corresponding to a score that is 12 points above the mean?
The z-score corresponding to a score that is 12 points above the mean is 2.
The z-score is a numerical measurement used in statistics to determine the sample data value's relationship to the mean of a group of values, measured in terms of standard deviation from the mean. It is measured as the difference of the sample data value and the sample mean over the standard deviation, such that
z-score = (x – μ) / σ
where x = sample data value
μ = mean
σ = standard deviation
If the sample score is 12 points above the mean, then (x – μ) = 12.
(x – μ) = 12
σ = 6
Substitute the values to the z-score formula.
z-score = (x – μ) / σ
z-score = 12/6
z-score = 2
Learn more about z-score here: https://brainly.com/question/17489087
#SPJ4
What is the value of the expression
below?
8 - 3116
A. -40
-
B. -4
C.
2
D.
20
Answer:
i do not understand how you wrote this please explain better
Step-by-step explanation:
if i have a 92% grade and i get 14/20 aka 70% on a test what is my grade
Answer: U misluk nee A beteken dat u misluk
SOMEONE PLEASE I NEED HELL AND I WANT TO GO TO SLEEP, but there’s more than one answer btw
Answer:
The second one, third one and the fifth one should be correct. (7 to the 18th power divided 7 to the 9th power, 7 to the 3rd power to the 3rd power, and 7 to the 4th power times 7 to the 5th power)
Step-by-step explanation:
7 to the 8th power times 7 equal 40353607 so if you do all the equations shown you can rule out which ones equal 40353607 and which ones don't. Have a nice sleep!
Answer:
\(\frac{7^{18}}{7^{9}}\), (7³)³ and \(7^{4}*7^{5}\)
Step-by-step explanation:
\(7^{8}*7\) = \(7^{9}\) is equivalent to the following exponential expressions:
\(\frac{7^{18}}{7^{9}}\), as it applies to the Quotient Rule of Exponents: \(\frac{a^{m}}{a^{n}} = a^{m-n}\). Therefore, you're essentially subtracting the exponents, resulting into \(7^{9}\).
(7³)³: The Power-to-Power Rule of Exponents apply in this situation:\((a^{m})^{n} = a^{mn}\). Multiplying the exponent inside the parenthesis by the exponent outside the parenthesis results in an exponent of 9.
\(7^{4}*7^{5}\): the Product Rule of Exponents apply in this situation: \(a^{m}*a^{n} = a^{m+n}\). Adding the exponents of 4 to 5 results in an exponent of 9.
Please mark my answers as the Brainliest, if you find this helpful :)
What is the equation of a plane that passes through a point and is parallel to the YZ plane?
The equation of a plane that passes through a point and is parallel to the YZ plane can be written as:
x = constant
When a plane is parallel to the YZ plane, it means that its normal vector is perpendicular to the X-axis. Since the normal vector is perpendicular to the X-axis, the X-coordinate of any point on the plane remains constant.
To find the equation of the plane, we need a point that lies on the plane. Let's assume the point (a, b, c) lies on the plane.
Since the plane is parallel to the YZ plane, the X-coordinate of any point on the plane will remain constant. Therefore, we can say that x = a.
The equation of the plane becomes:
x = a
The equation of a plane that passes through a point and is parallel to the YZ plane is given by the equation x = a, where a is the constant X-coordinate of any point on the plane. This equation represents all points where the X-coordinate remains constant, while the Y and Z coordinates can vary freely.
to know more about the equation of a plane visit:
https://brainly.com/question/10524369
#SPJ11
Complete the square to solve the equation below. *
x2 – 8x + 10 = 0
What is the answer for this please i need it now for math homework p÷5=3
Answer:
p = 15
Step-by-step explanation:
To find the value of p, you can follow opposite operations. What this means is you do the opposite of the equation.
In this instance, to find p, do 5 × 3
5 × 3 = 15, therefore 15 = p
Now we can check if the equation is correct by doing 15 ÷ 5
15 ÷ 5 = 3
So p = 15 is correct
Answer:15
Step-by-step explanation:5×3≈15 i cant find equal7(2n + 6) = 154
what is the equation
Answer: your answer is =8
Answer:
n = 8
Step-by-step explanation:
7(2n + 6) = 154
7 * 2n + 7 * 6 = 154
14n + 42 = 154
(- 42) + 14n + 42 = 154 (- 42)
14n = 112
14n / 14 = 112 / 14
n = 8
Hello I need help with this question
Answer x=
Lisa tossed two fair coins at the same time. She repeated this trial 180 times. How many trials should Lisa expect to result in both coins showing tails?
Answer:
47
Step-by-step explanation:
4-3=7 7x3= 54 54-13= 47
Help me and show your work.
Answer:
y = 4x + 5
Step-by-step explanation:
The equation of a straight line line is;
y = mx + b
where m is the slope and b is the y-intercept
We start by calculating the slope value by using the slope equation
m = (y2-y1)/(x2-x1)
m = (9+ 7)/(1+ 3) = 16/4 = 4
So we have the equation as;
y = 4x + b
to get the value of b, we substitute the coordinates of any of the two points
let us use (1,9)
9 = 4(1) + b
b = 9-4
b = 5
so, we have the equation of the line as;
y = 4x + 5
A geologist digs 5 feet down into the ground before taking a break. This process is repeated 3 times to create a hole that has a total depth of 15 feet.
Which equation represents the hole's depth in relation to ground level?
A. -5 • 3 = -15
B. -3 • -5 = -15
C. -3 • 5 = 15
D. 5 • 3 = 15
•= multiplication
how to change a negative exponent to a positive exponent
20% of the people in a school hall are teachers and the rest are pupils. 75% of the pupils are boys and there are 72 more boys than girls. How many boys must leave the hall so that 20% of the people in the hall ar boys?
Answer:36
im pretty sure when I looked it up it said
Answer:
hahahha
Step-by-step explanation:
Hi Please I want helpp
Step-by-step explanation:
Use calculator:
sin x = 0.4 --> arc
x=23∘58
Trig unit circle gives another arc x that has the same sin value:
x=180−23.58
=156∘42
Answers for (0, 360)
23∘58,156∘42
You are a district sales manager at the sales target for your team135,000 per month ?
You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.
To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):
Annual sales target = Monthly sales target x 12
Given that the monthly sales target for your team is $135,000, the annual sales target would be:
Annual sales target = $135,000 x 12
= $1,620,000
A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.
Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.
To learn more about Sales manager visit here:
brainly.com/question/30785075
#SPJ4
Complete Question:-
You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?
Illegal music downloading has become a big problem:
29% or Internet users download music files, and 67%
of downloaders say they don't care if the music is
copyrighted. Find the probability that a randomly
selected Internet user downloads music and doesn't
care if it's copyrighted.
Answer:
Whats the question? Tell me and I will respond.
Step-by-step explanation:
This is not a word problem. It seems like a problem how it is just informative about pirating music. Maybe wherever you got this site from should see how the muscians feel.
Given f(x)=2x^2+3x-8 find (b+2)
Answer:
\(\displaystyle f(b+2) = 2b^2 + 11b +6\)
Step-by-step explanation:
We are given the function:
\(\displaystyle f(x) = 2x^2 + 3x - 8\)
And we want to find:
\(\displaystyle f(b + 2)\)
Substitute:
\(\displaystyle f(b+2) = 2(b+2)^2 + 3(b+2) - 8\)
Expand and simplify:
\(\displaystyle \begin{aligned}f(b+2)&= 2(b^2+4b+4)+(3b+6)-8 \\ &= (2b^2+8b+8)+(3b+6)-8 \\ &= (2b^2) + (8b+3b)+ (8+6-8) \\ &= 2b^2 + 11b + 6 \end{aligned}\)
In conclusion:
\(\displaystyle f(b+2) = 2b^2 + 11b +6\)
reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
How many kilometers is the race?
Enter your answer as a decimal in the box.
20 point 1 6
km
Total distance of the triathlon race is 23.34 kilometers.
Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
The total distance of the race is 23.34 kilometers.
Reg enters a triathlon race.
He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.
In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km
Total distance = 23.34 km.
The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.
Learn more about distance click here:
https://brainly.com/question/26550516
#SPJ11