======================================================
Work Shown:
f(x) = 3^x
a = 2 = lower value of the interval
b = 6 = upper value of the interval
c = average rate of change of f(x) from a to b
c = ( f(b) - f(a) )/(b - a) ..... note how this mimics the slope formula
c = ( f(6) - f(2) )/(6 - 2)
c = ( 3^6 - 3^2 )/4
c = ( 729 - 9 )/4
c = 720/4
c = 180
The average rate of change from x = 2 to x = 6 for f(x) = 3^x is 180
Please help me I beg!
Answer:
38.9
Step-by-step explanation:
Can someone help me please
Answer:
time is Y-axis and gallons is x-axis
which of the following numbers is a multiple of 4
A. 734
B. 620
C. 626
D. 891
Answer:
the answer is B
Step-by-step explanation:
*a multiple of 4 means when a number is divided by 4, the answer will be a whole number
* a whole number is a number without fraction and decimal
A. 734/4 = 183.5 ❌
B. 620/4 = 155 ✅
C. 626/4 = 156.5 ❌
D. 891/4 = 222.75 ❌
Answer:
B. 620
Step-by-step explanation:
To find a multiple of 4, simply use the choices to divide by 4 and a multiple should end up with a WHOLE number, meaning there's no decimal or fraction.
You can simply get a calculator and do the following-
734 ÷ 4 = 183.5
⬆️ is NOT the answer because there's decimal620 ÷ 4 = 155 ✔️
⬆️ IS the answer because it is a whole number626 ÷ 4 = 156.4
⬆️ is NOT the answer because there's decimal891 ÷ 4 = 222.75
⬆️ is NOT the answer because there's decimalAnd finally, we can check our answer by using 155 × 4, and we get 620. That means 620 is a multiple of 4.
I hope this helps!
Please mark brainliest!
Have a great day!
The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.4. The probability that there are more than 5 occurrences in ten minutes is:____.a. .0241.b. .0771.c. .1126.d. .9107.The random variable x satisfies which of the following probability distributions?
A. Normal.B. Poisson.C. Binomial
The options given don't correspond to the values in the question. The options are from another question where mean is 5.3 and the probability being looked for is for exactly 3 occurrences and 5 occurrences
Answer:
A) 0.6511
B) Poisson distribution
Step-by-step explanation:
We are given;
Mean: μ = 5.4 minutes
Now, we want to find the probability that there are more than 5 occurrences in ten minutes.
This will be written as;
P(x > 5) = 1 - P(x < 5)
P(x < 5) = P(x = 4) + P(x = 3) + P(x = 2) + P(x = 1) + P(x = 0)
We will use Poisson distribution for this. The formula is;
P(x) = [(e^(-μ)) × μ^(x)]/x!
P(0) = [(e^(-5.4)) × 5.4^(0)]/0! = 0.004517
P(1) = [(e^(-5.4)) × 5.4^(1)]/1! = 0.02439
P(2) = [(e^(-5.4)) × 5.4^(2)]/2! = 0.06585
P(3) = [(e^(-5.4)) × 5.4^(3)]/3! = 0.11853
P(4) = [(e^(-5.4)) × 5.4^(4)]/4! = 0.16
Thus;
P(x < 5) = 0.16 + 0.11853 + 0.06585 + 0.004517 = 0.3489
Thus;
P(x > 5) = 1 - P(x < 5) = 1 - 0.3489 = 0.6511
B) like seen from solution A above, we used Poisson distribution formula.
Thus, random variable x satisfies Poisson distribution
Solve for x. 2x – 16 = -9
Answer:
x = 7/2
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
2x-16=-9
2x=-9+16
2x=7
x=7/2 or 3.5
what is the scale factor between a 100 inch and 70 inch line? provide with answer; there are no options to choose from. ty!!!
please help
An auditorium sold 500 tickets for a play and raised $3400. Let x represent the number of adult tickets sold at $8 each and let y represent the number of student tickets sold at $5 each. Write and solve a system of equations to determine the number of adult tickets and the number of student tickets that were sold.
Answer:
answer is attached in the figure below hope it helps please mark it as brainlist
Find the perimeter of the polygon if angle B is congruent to angle D.
Answer:
32
Step-by-step explanation:
The sides of the quadrilateral are tangents to the circle.
Tangents drawn from an external point to the circle are congruent
5+5+4+4+3+3+4+4=32
Answer:
32
Step-by-step explanation:
i did it and got it right
Amanda Wrote a list that contained only multiples of 16. Which of the following lists could be Amanda's list?
A. (1,2,4,8,16)
B (16,32,48,64,80)
C. (16,32,42,64,84)
D. (4,812,16,20,24,28)
A. Gives factors, not multiples
B. Puts the multiples in the correct order, and the numbers are correct
C. 2 numbers are incorrect
D. WHERE DID 812 COME FROM!?!?
The only logical answer is B.
cot? 2x + cos2x + sin’ 2x = csc? 2x
Need help with 40
Answer:
[tex]\rule{100mm}{0.1mm}[/tex]
[tex]\cot^2(2x)+\cos^2(2x)+\sin^2(2x)=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +[(\cos^2(2x)+\sin^2(2x)]=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +1=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)+\sin^2(2x)}{\sin^2(2x)}=\csc^2(2x)[/tex]
[tex]\dfrac{1}{sin^2(2x)} =\csc^2(2x)[/tex]
[tex]\boxed{\csc^2(2x)=\csc^2(2x)}[/tex] ✔
[tex]\rule{100mm}{0.1mm}[/tex]
which statement is true regarding the graphed functions?
Answer:
if -2 refers to the y-intercept "f(-2)=g(-2)" would be correct
Factorise
48x^3-27x
A scooter travels 30 feet in 2 seconds what is the spend of the scooter in feet per second
Answer:
15 feet per second
Step-by-step explanation:
30÷2=15
Answer:
15 feet per second.
Step-by-step explanation:
30 feet in 2 seconds.
30 = 2x
Divide both sides by 2 so u can leave the x alone, and it gives you 15 = x.
if [tex]\frac{r + s}{x - y} = \frac{3}{4}[/tex] then [tex]\frac{8r + 8s}{15x - 15y}[/tex] equals
Answer:
[tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyEquality PropertiesStep-by-step explanation:
Step 1: Define
[tex]\frac{r+s}{x-y} = \frac{3}{4}[/tex]
[tex]\frac{8r+8s}{15x-15y} = ?[/tex]
Step 2: Find Unknown
Multiply both sides by 8/15: [tex]\frac{8}{15} \cdot \frac{r+s}{x-y} = \frac{8}{15} \cdot \frac{3}{4}[/tex]Distribute/Multiply: [tex]\frac{8r+8s}{15x-15y}= \frac{24}{60}[/tex]Simplify: [tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]The difference of 2 numbers is 7. The sum of those numbers is 23. What are the 2 numbers?
Let's write this question as a systems of equations to solve.
x-y=7 (the difference)
x+y=23 (the sum)
Through the process of elimination we get
2x=30
x=15.
With that value of x, we can plug it back into any of the previous equations to get the value of y.
(15)-y=7 (Solve for y)
y=8.
The two numbers are 15 and 8.
Find the volume of a pyramid with a square base, where the perimeter of the base is
12.8 m and the height of the pyramid is 12.5 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
12.5
Step-by-step explanation:
Noah painted 3/20 of a fence in 1/2 a day how many days will it take him to paint the entire fence
Answer:
approximately 7 days
Step-by-step explanation:
20 ÷ 3 = 6.6 repeating, round up to 7 days
Answer:
3days and 8hours
Step-by-step explanation:
he painted 3/20 in 1/2day then
3/20 painted for 1/2 day =12 hours so
1/20 was painted in 12/3=4 hours
since 20 /20 will be how long will be needed to paint the entire fence
20*4hour = 80hours which is (24*3)+8 that will make
3days and 8hours or
3and 1/3 days
Six ice cream bars and four bags of chips cost $13.50. Ten ice cream bars and five bags of chips cost
$20.00. What is the cost for each item sold separately?
Answer:
For the 6 ice cream bar: $2.25
For the 10 ice cream bar: $4
Step-by-step explanation:
A computer that costs x dollars wholesale is marked up 20% at a store. Which expression represents the final price of the computer?
Answer: A
Step-by-step explanation: I think sorry
Rhonda's backyard has a rectangular patio that is 12.5 feet long,
Answer:
34992.66
Step-by-step explanation:
nice to know!
PLZ HELP FAST
Enter an equation in standard form to model the linear situation.
A pool that is being drained contained 19,000 gallons of water. After 2 hours, 14,500 gallons of water remain.
Answer:
Step-by-step explanation:
it is losing 4 500 every 2 hours. so 2 250 every hour. It will go like 19 000
- 14 500 - 10 000 - 5 500 - 1 000. Then it will lose the rest in less than 30 minutes
Starting with 2, and i count by 8s until I reach 82, and 82 is the Nth number, what is the value of N?
Answer:
11 is N
Step-by-step explanation:
Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11
worms are used to break down food waste and create a soil conditioning compost. Some worm populations double every 3 months. Suppose the formula y=2(2^x/3) represent the pounds of worms in a population after x months. If there are initially 2 pounds of worms, how many pounds of worms will there be in 1 year? If 2 pounds is approximately 2,000 worms, how many worms will there be after 1 yesr?
8,000 each three months the population is doubled so i figured that each three months there are 2000 more worms i multiplied 3 by 4 Because 3 x 4 is 12 and a year is 12 months, and got 8,000 by multiplying 2,000 by 4. Hope this helps
10 more than a number w is -2.6
Answer:
10 + w = -2.6
Step-by-step explanation:
yall the answer is 0.17 hope this help
Answer:
I just saw a girl post the nastiest nu!des EVER
Convert 50°F to Celsius.
how to write exponents
Answer:
[tex]2\cdot2\cdot2[/tex] = [tex]2^{3}[/tex]
Step-by-step explanation:
[tex]---------------------------------[/tex]
[tex]Writing[/tex] [tex]exponents[/tex] [tex]is[/tex] [tex]fairly[/tex] [tex]easy.[/tex]
[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]
[tex]5\cdot5\cdot5\cdot5\cdot5[/tex] = [tex]5^{5}[/tex] [tex]because[/tex]
[tex]there[/tex] [tex]are[/tex] [tex]5[/tex] [tex]fives[/tex] [tex]that[/tex] [tex]are[/tex] [tex]being[/tex] [tex]multiplied.[/tex]
[tex]---------------------------------[/tex]
[tex]Always[/tex] [tex]remember,[/tex] [tex]you[/tex] [tex]don't[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]whole[/tex] [tex]number[/tex] [tex]by[/tex] [tex]the[/tex] [tex]exponent.[/tex]
[tex]---------------------------------[/tex]
[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]
[tex]6^{7}[/tex] [tex]does[/tex] [tex]not[/tex] [tex]equal[/tex] [tex]42[/tex] [tex]because[/tex] [tex]you[/tex] [tex]have[/tex] [tex]to[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]6[/tex] [tex]the[/tex] [tex]number[/tex] [tex]of[/tex] [tex]times[/tex] [tex]it[/tex] [tex]says[/tex] [tex]on[/tex] [tex]the[/tex] [tex]exponent.[/tex]
[tex]Which[/tex] [tex]means[/tex] [tex]you[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]six,[/tex] [tex]seven[/tex] [tex]times.[/tex]
[tex]---------------------------------[/tex]
Hope this helps! <3
[tex]---------------------------------[/tex]
You want to buy 4 pencils, each costing 88 cents. How many dollar bills should you take to the store?
Answer:
4
Step-by-step explanation:
Answer:
$4
Step-by-step explanation:
0.88x4 = 3.52
so take 4
NEED ANSWER ASAP! CORRECT ANSWER GETS BRAINLIEST!
An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely?
1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hour
3 ⋅ 12 hours
Answer:
4 hours
Step-by-step explanation:
1/12 time what equals 1? 12 so do it to the other equation and simplify 12/3 to get 4.
What is the x-and y-intercept of the graph 4x -5y =40??
Answer:
x-intercept = 10
y-intercept = -8
Step-by-step explanation:
[tex]4x-5y=40[/tex]
To identify the y-intercept, we will need to format the equation in the form [tex]y=mx+b[/tex]. We can start by subtracting [tex]4x[/tex] from both sides of the equation:
[tex]-5y=-4x+40[/tex]
Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-5[/tex]:
[tex]y=\frac{-4}{-5} x - 8[/tex]
The [tex]b[/tex] is representative of the y-intercept in [tex]y=mx+b[/tex].
Identify [tex]b[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex]:
[tex]b=-8[/tex]
Therefore, our y-intercept is -8.
To solve for the x-intercept, replace the [tex]y[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex] with a zero:
[tex]0=\frac{-4}{-5} x - 8[/tex]
Add [tex]8[/tex] to both sides of the equation:
[tex]8=\frac{-4}{-5} x[/tex]
You can go ahead and divide [tex]-4[/tex] by [tex]-5[/tex] to get rid of the fraction:
[tex]8=0.8x[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]0.8[/tex]:
[tex]10=x[/tex]
Therefore, our x-intercept is 10.