Step-by-step explanation:
the average rate of change of a function f(x) between two values of x is
(f(x2) - f(x1)) / (x2 - x1)
f(x) = 20× (1/4)^x
x1 = 1
x2 = 2
f(x2) = 20× (1/4)² = 20/16 = 5/4
f(x1) = 20× (1/4)¹ = 20/4 = 5
(5/4 - 5) / (2 - 1) = (5/4 - 20/4) / 1 = -15/4
the average rate of change is -15/4.
An adult elephant eats about 300 pounds of food each day. Write an
expression to represent the number of pounds of food a herd of
12 elephants eat in/5 days.
Answer:
18000
Step-by-step explanation:
you multiply 12 by 300 which is 3600 then you would multiply by 5 and its 18000.
1. If something gets 1 percent better each day, how long will it take it to become 100 percent better than it already is? Round to the nearest day.
2. How many times better will it be in 365 days? Round to the nearest percent.
Answer:
it would take 100 days for it to get better that just makes sense I think and for number two it would be 365% better
Step-by-step explanation:
Which expressions have a value that is greater than 1?
Answer:
Im not sure about A but other then that B and D have greater values then one
Step-by-step explanation:
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{A}\qquad \cfrac{3^{-2}}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{\cfrac{3^3}{1}}\implies \cfrac{1}{3^3\cdot 3^2}\implies \cfrac{1}{3^5}\implies \cfrac{1}{243}\qquad \textit{\large \checkmark}[/tex]
[tex]\boxed{B}\qquad \cfrac{5^3}{5^2}\implies 5^3\cdot 5^{-2}\implies 5^{3-2}\implies 5^1\implies 5\qquad \bigotimes \\\\\\ \boxed{C}\qquad 9^0\implies 1\qquad \bigotimes \\\\\\ \boxed{D}\qquad \cfrac{(2^3)^2}{2^2}\implies \cfrac{2^{3\cdot 2}}{2^2}\implies \cfrac{2^6}{2^2}\implies 2^6\cdot 2^{-2}\implies 2^4\implies 16\qquad \textit{\large \checkmark} \\\\\\ \boxed{E}\qquad \cfrac{2^3}{2^8}\implies 2^3\cdot 2^{-8}\implies 2^{3-8}\implies 2^{-5}\implies \cfrac{1}{2^5}\implies \cfrac{1}{32}\qquad \bigotimes[/tex]
Math
........................................................................
Answer:
i believe the and\swe is g because it is located within the boundaries of plane p but is on a line (not the green segments) that goes outside of plane p
Step-by-step explanation:
Please help if you can I'll even give you a brainiest answer.
how do you solve this?? pls add your work as well..
Answer:
[tex](A) - \sqrt2[/tex]
Step-by-step explanation:
Let's find the velocity and acceleration first:
[tex]v(t) = \dot x(t) = cos\ t -( -sin \ t) = cos \ t + sin \ t\\a(t) = \ddot x(t) = -sin\ t + cos\ t = cos\ t - sin t[/tex]
(you can also rewrite the position as [tex]\sqrt 2 sin(t-\frac\pi4)[/tex] and determine velocity and acceleration from there, but I do prefer handling it as a sum for the sake of the derivatives)
At this point, the first time when the velocity is 0 is given by
[tex]cos\ t + sin\ t = 0 \rightarrow cos\ t = - sin t \rightarrow tan\ t = -1 \\t = \frac34 \pi = 2.36s[/tex]
At this point the acceleration is (let's use the first value of t for the sake of our sanity!)
[tex]cos (\frac34 \pi) - sin \frac 34 pi = -\frac1{\sqrt2} -\frac1{\sqrt2} = \sqrt 2 = -1.41[/tex]
Please help Fraction yes or no
Answer:
Hmm I would say maybe yes
Step-by-step explanation:
Solve the Linear Quadratic system of equations
y=x^(2)+2x-9
y=-2x+3
9514 1404 393
Answer:
(x, y) = (-6, 15) and (2, -1)
Step-by-step explanation:
You can start by subtracting the second equation from the first.
(y) -(y) = (x^2 +2x -9) -(-2x +3)
0 = x^2 +4x -12 . . . . . . collect terms
0 = (x +6)(x -2) . . . . . . . factor
Solutions for x are -6 and +2. These values make the factors zero.
The corresponding solutions for y are ...
y = -2(-6) +3 = 15
y = -2(2) +3 = -1
Solutions to the system of equations are ...
(x, y) = (-6, 15) and (2, -1)
Original price of a bicycle $1,600.00 Discount 35.3% Tax 1%? Find the selling price of each item ???
Solve the system, or show that it has no solution.
10x + 4y = 14
15x + 6y = 21
Answer:
Step-by-step explanation:
(6)10x + 4y = 14(6)
4(15x + 6y) = 21(4)
60x + 24y = 84
60x + 24y = 84
It has infinite, as if this were to be graphed the lines would overlap.
Given m\parallel nm∥n, find the value of x. n m (8x+19)° 59°
My number has 3 digits. The sum of the digits is 15. The digits are all different odd numbers. If divided by 0.25 the answer is a whole number. The number is greater than 3 and less than 4.
Answer:
3.75
Step-by-step explanation:
trust me
Kaylee needed to fold 586 paper notices for a fundraiser. The notices would be mailed in 22 days. Which expression gives the best estimate of the number of notices she must fold each day to meet her goal?
A.
500
÷
20
B.
500
÷
30
C.
600
÷
20
D.
600
÷
30
Answer: C
Step-by-step explanation: Round to the nearest 100
which has one solution:
2x + 2y = 180
0.1x + 7y = 78
The ratio of the measures of the sides of a triangle is
9:10:4. If the perimeter of the triangle is 276 inches, find
the length of the shortest side.
X =
=
Length of shortest side =
Answer:
X = 48 inches for the shortest side
Step-by-step explanation:
9s = first side
10s = second side
4s = third side
Perimeter = sum of the sides
276 = 9s + 10s + 4s
276 = 23s
276/23 = s
12 = s
9s = first side; 9(12) = 108
10s = second side; 10(12) = 120
4s = third side; 4(12) = 48
In the equation y ≈7x-9,if x≥2, then what is the value of y?
Answer:
y[tex]\geq[/tex]5
Step-by-step explanation:
7(2)-9
14-9
5
y[tex]\geq[/tex]5
Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x, y) point.
y= -x^2-10x-22
Answer:
vertex: (-5, 3)
Step-by-step explanation:
Besides providing the graph of the given quadratic equation, I will also demonstrate the algebraic method of solving for the vertex of a parabola.
Method 1: Algebraic SolutionGiven the quadratic equation, y = -x² - 10x - 22, where:
a = -1, b = -10, and c = -22.
Find the x-coordinate of the vertex:In order to find the vertex of the given equation, use the following formula to find the x-coordinate of the vertex: [tex]x = \frac{-b}{2a}[/tex].
[tex]x = \frac{-b}{2a}[/tex]
[tex]x = \frac{-(-10)}{2(-1)}[/tex]
[tex]x = \frac{10}{-2}[/tex]
x = -5
The x-coordinate of the vertex is: x = 5.
Find the y-coordinate of the vertex:Next, substitute the value of the x-coordinate into the given quadratic equation to find its corresponding y-coordinate:
y = -x² - 10x - 22
y = -(-5)² - 10(-5) - 22
y = -25 + 50 - 22
y = 3
Therefore, the vertex of the given parabola is: (-5, 3), where it is the maximum point.
One of the attachments is the screenshot of the graphed quadratic equation (using Desmos), where it shows the vertex as the maximum point.
Method 2: Graphing CalculatorIf you have a graphing calculator (such as the Texas Instruments graphing calculator):
Press Y=Then, simply enter the given quadratic equation, -x² - 10x - 22.Next, press 2ND ⇒ Quit. Press the GRAPH button. Press 2ND ⇒ TRACE Select option 4: maximumIt will ask for the "Left Bound?": move the cursor as close to the maximum point as possiblePress ENTER. Next, it will ask for the "RightBound?" Repeat the same process as in step #7. Press ENTER.It will ask for "Guess?" ⇒ press ENTER, and it will provide the same coordinates for the vertex, (-5, 3).Please let me know if you have any questions or concerns regarding this post.
Only answer this if you know the answer.
Find The nth Term of this number sequence
18, 16, 14, 12
Answer:
2
Step-by-step explanation:
18,16,14,12,10,8,6,4,2
PLEASE HURRY!! (No links)
Solve the inequality
−2 (k − 5) < −2k + 2
Answer: simplify 0<-8 no solution
Step-by-step explanation:
A $600 fax machine is on sale for 20% off. Find the amount of the discount and the sale price.
The amount of discount is $0.
The sale price is $0
Answer:
The amount of discount is $120
The sale price is $480
Step-by-step explanation:
The amount of discount = Original price × the Percentage off
The amount of discount = $600 × 20 %
The amount of discount = $600 × .20
The amount of discount = $120
The sale price = Original price - Discount
The sale price = $600 - $120
The sale price = $480
The length of a rectangle sign is 3 times it’s width, if the signs perimeter is 16 inches, what is the signs area
Need all of these answered please
alternate entireror angles are congurent by this rule you can find your answer by solving the equation
which is the graph of y -3 equals -2/3 (x + 6)
NO LINKS
Step-by-step explanation:
This is point-slope form:
[tex]y-y1=m(x-x1)[/tex]
in this case:
[tex]y-3=-\frac{2}{3} (x+6)[/tex]
Looking at the structure of point slope form up top, you can find the slope and one point.
[tex]m=-\frac{2}{3} \\x1=-6\\y1=3\\(-6,3)[/tex]
Now, just find the graph with a slope of [tex]-\frac{2}{3}[/tex] that passes through (-6, 3). It's hard to see on the image, but that looks like the top left.
By the way, what's the "no links" thing about? I just came back to this site after a year away
Life Pre-intermediate - Unit 3
MULTIPLE CHOICES: Choose the correct option (a-c).
1. It's not far to the town centre and it's quicker if you go ____ foot.
A. on B. by C. with
2. We are moving our furniture ____ lorry.
A. by B. with C. on
3. Which ____ does the train to Norwich leave from?
A. platform B. gate C. stop
4. For the History museum ____ the bus at the next stop.
A. drop off B. get off C. check in
5. I can't park at the bus station but I can ____ outside when you arrive.
A. get you off B. drop you off C. pick you up
6. The bus ____ is more expensive now than it was the last time I was here.
A. price B. fare C. cost
7. Excuse me, does the ticket machine give ____?
A. price B. fare C. change
8. There is a taxi ____ right outside the train station.
A. station B. stop C. rank
9. What time do you want me to pick you ____ from the station?
A. by B. off C. up
10. We have to ____ at the airport two hours before the plane leaves.
A. check in B. get on C. book
Answer:
1.A
2.B
3.C
4.B
5.B
6.B
7.C
8.C
9.C
10.A
It's not far to the town centre and it's quicker if you go on foot. We are moving our furniture with lorry. Which stop does the train to Norwich leave from? For the History museum get off the bus at the next stop. I can't park at the bus station but I can drop you off outside when you arrive.
What is a History museum?Museums and galleries generally provide insight into human history. The lessons we may learn from historical occurrences, wonders, and tragedies are inestimably important, even though no museum claims to provide a complete picture. This is especially true when things are tumultuous.
In the interest of society, a museum investigates, gathers, conserves, interprets, and presents both tangible and intangible history. Through accessibility, inclusivity, and public accessibility, museums promote diversity and sustainability.
Thus, The bus fare is more expensive now than it was the last time I was here. Excuse me, does the ticket machine give change? Excuse me, does the ticket machine give change? There is a taxi rank right outside the train station. What time do you want me to pick you up from the station? We have to check in at the airport two hours before the plane leaves.
For more information about History museum, click here:
https://brainly.com/question/15265945
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On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism. Assuming a binomial distribution, what is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent
Answer:
Answer:
60
Step-by-step explanation:
Given : On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.
To find : What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?
If 6 cm represents 2100 meters, how much actual distance does each 1 cm represent?
Answer:
1 cm = 350 meters
Step-by-step explanation:
2100/6 = 350
so, she was making $9/hr, then she's da bomb so she got a raise of 150%.
making 150% over that amount means more than that amount, so her raise was 150%, congrats to Maria.
if we take 9 to be the 100%, then adding 150% to that will be 100% + 150% = 250%.
Math test urgent & any help would be greatly appreciated thank you the question is attached in the photo below
Answer:
Good luck on the test <333
Step-by-step explanation:
m<1 = ? // m<2 = ? // m<3 = ? // m<4 = ?
First I want to find the third angle because I see 93 degrees + 3 equals 180, so angle 3 is 87.
Now I find angle 2, because it seems as angle 2 is the same as 49 degrees.
Now for angle 1 and 4, we now that angles in a triangle sum to 180°. So for angle 1 the equation is 180 - (49 + 68), which is 63.
For angle 4 the equation is 180 - (49 + 87), which is 44.
What is the value of the expression 4.2(x−y)4 , when x = 12 and y = 5.6 as a decimal?
Answer:
6.72
Step-by-step explanation:
Evaluate - 2c + d for c = -9 and d = 4.
Please help.
Answer:
-14
Step-by-step explanation:
2c + d
We are given the values of c and d:
c = -9
d = 4
We substitute in these values
2(-9) + 4 = ?
2 times -9 is -18
-18 + 4 = -14
2c + d = -14