Answer:
only one solution at x=0
Step-by-step explanation:
Question 5
5 pts
Let f(x)
40e^.06t. What is the average rate of change of f over the
interval [0,3]? Give your answer as a decimal with one place of
accuracy to the right of the decimal point.
Answer:
[tex]R= 2.6[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 40e^{.06t[/tex]
[tex][a,b] = [0,3][/tex]
Required
Determine the average rate of change (R)
This is calculated as follows:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a = 0[/tex] and [tex]b = 3[/tex]
Substitute 0 for a and 3 for b
[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]
[tex]R = \frac{f(3) - f(0)}{3}[/tex]
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
Calculate f(3)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(3) = 40e^{.06*3}[/tex]
[tex]f(3) = 40e^{0.18}[/tex]
[tex]f(3) = 40 * 1.197[/tex]
[tex]f(3) = 47.88[/tex]
Calculate f(0)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(0) = 40e^{.06*0}[/tex]
[tex]f(0) = 40e^{0}[/tex]
[tex]f(0) = 40*1[/tex]
[tex]f(0) = 40[/tex]
So, the expression:
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
[tex]R= \frac{1}{3}[47.88 - 40][/tex]
[tex]R= \frac{1}{3}[7.88][/tex]
[tex]R= 2.62666666667[/tex]
[tex]R= 2.6[/tex]
Hence, the average rate of change is approximately 2.6
Could some help with this problem it is due in about 20 mins and I am really stuck I will give a brainlist to the best answer :)
Answer:
Step-by-step explanation:
29.
2x+4+x+2x-9=180
5x-5=180
5x=180
x=36
Q=76°
P=63°
R=36°
30.
C=90° (Given)
4x+7+8x-1+90=180
12x+96=180
12x=84
x=7
B=55°
A=35°
According to the 2014 national population projections published by the U.S. Census Bureau, the U.S. population is projected to be 334.4 million in 2020 with an estimated growth rate of 0.79% per year. Assuming the growth rate remains constant, find the projected population in 2050.
Answer:
423,437,744
Step-by-step explanation:
Given that :
Projected population in 2020 = 334.4 million
Estimated growth rate (r) = 0.79%
Projected population in 2050 ;
Using the exponential growth function :
Estimated value = initial value(1 + growth rate)^time
Initial value = i
Time = 2020 - 2014 = 6 years
334.4 = i(1 + 0.0079)^6
334.4 = i(1.0079)^6
334.4 = i2.43087455521E−13
i = 3.189786E8
Initial population = 318. 978 million
Estimated Population in 2050:
2050 - 2014 = 36
Projected population = 3.189786E8(1.0079)^36
Projected population = 3.189786E8*1.3274801
= 423437743.82586
= 423437744 million
What is the coefficient in the following expression?
5a2 - 7
Answer:
5 is the coefficient
Step-by-step explanation:
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up?
Explain your answer using complete sentences.
Answer:
2 rows of 41
Step-by-step explanation:
....... i think
I have the same question, and I have nothing in my brain....-_-''
What is the answer, Please Help.
Answer:
r=144
Step-by-step explanation:
Cross multiply:
12 * 60 = r * 5
Simplifying
12 * 60 = r * 5
Multiply 12 * 60
720 = r * 5
Reorder the terms for easier multiplication:
720 = 5r
Solving
720 = 5r
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-5r' to each side of the equation.
720 + -5r = 5r + -5r
Combine like terms: 5r + -5r = 0
720 + -5r = 0
Add '-720' to each side of the equation.
720 + -720 + -5r = 0 + -720
Combine like terms: 720 + -720 = 0
0 + -5r = 0 + -720
-5r = 0 + -720
Combine like terms: 0 + -720 = -720
-5r = -720
Divide each side by '-5'.
r = 144
Simplifying
r = 144
Answer:
r=144
Step-by-step explanation:
We need to find r. To do that me must make the top numbers the same.
We'll multiply
[tex] \frac{12}{r} \times \frac{5}{5 } = \frac{60}{5r} [/tex]
[tex] \frac{5}{60} \times \frac{12}{12} = \frac{60}{720} [/tex]
Since the top numbers are equal that means the bottoms are too.
So we can create the equation:
[tex]5r = 720[/tex]
Divide each side by 5
r=144
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
A local little league has a total of 65 players, of whom 20% are right-handed. How many
right-handed players are there?
Answer:
13
Step-by-step explanation:
convert percent to decimal: .20
.20 x 65
13
plssss help due in 5 minutes
Answer:
-5 is the y intercept
Step-by-step explanation:
If Sharpie markers are on sale for 10 markers for $8.00, how many markers can be bought for $24.00?
Answer:
30 markers
Step-by-step explanation:
We need to divide 24 by 8 to find how many packs of 10 markers we can buy, this gets us 3 packs of 10 markers. I hope this helps!
Which number is a zero of the function f?
f(x) = x2 - x - 6
F 6
G2
H 3
IO
Answer:
zeros of the function are −2 and 3
Step-by-step explanation:
there is no -2 so H.3
Can someone please help me this is due in 2 mins?!?!?
Answer:
2
Step-by-step explanation:
the two sides are 3 and its equal to 8..its 2
What is 86% of 950? *
Answer:86%of 950= 817
Step-by-step explanation:
Answer:
817
Step-by-step explanation:
Joshua has a bag of marbles. In the bag are 5 white marbles, 3 blue marbles, and 7 green marbles. Peter randomly draws one marble, sets it aside, and then randomly draws another marble. What is the approximate probability of Peter drawing out two green marbles
Answer:
1 / 5
Step-by-step explanation:
Given that:
Number of white marbles = 5
Number of blue marbles = 3
Number of green marbles = 7
Required is the approximate probability of drawing 2 green marbles, Note that drawing is done without replacement :
Probability = required outcome / Total possible outcomes
Total possible outcomes = sum of all marbles = (5 + 3 + 7) = 15 marbles
First draw:
P(Green) = 7 / 15
Second draw:
Required outcome = 7 - 1 = 6
Possible outcomes = 15 - 1 = 14
P(green) = 6 / 14
Probability of drawing out two green marbles :
(7/15 * 6/14) = 42 / 210 = 1 / 5
Rob is setting up a model train track that is 3 and 3 over 8 feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole every 3 over 8 foot apart. How many telephone poles does he need? (Input number values only.
Answer:
9?
Step-by-step explanation:
Answer:
sorry dont understaand
Step-by-step explanation:
What is the equation of the line through (2, -4) and (0, 4)?
OA. y= 4x- 4
O B. y= -4x- 4
Oc. y= -4x+ 4
OD.y= 4x+ 4
ASAP please help me I need this quick
The question and answers are in the picture
Answer:
25
Step-by-step explanation:
maybe this will help you
Answer:
C. 125 cm^3
Step-by-step explanation:
Hope this helps!! Brainliest please :)
30 POINTS PLEASE HELP
Answer:
y = 4x + 17
Step-by-step explanation:
y = mx + b given points: (-3,5) (-5,-3)
[tex]\frac{5+3}{-3+5}[/tex] = [tex]\frac{8}{2}[/tex] = 4
y = 4x + 17
Find the slope of the line that passes through the points A(5,-1) and B
(3, -1).
Answer:
1/6
Step-by-step explanation:
Using the table below,which statement best describes whether or not the relationship identifies a function?
Answer: I'm pretty sure the correct answer is (B) Let me know if i'm correct!
Step-by-step explanation:
Pls hurry I’m being timed
Answer:
I think the answer is A
Step-by-step explanation:
makes sense
In a small private liberal arts college, 40 percent of the students receive financial aid, and 30 percent of the students that receive financial aid also are first generation college students. In addition, 25 percent of the students in the college own a hybrid car. What is the probability that a randomly selected student receives financial aid and is first generation college student
Answer:
P(A∩B) = 0.12
Step-by-step explanation:
Given:
Students receive financial aid P(A) = 40% = 0.4
Students receive financial aid and first generation P(B/A) = 30% = 0.3
Find:
Probability [Selected student receives financial aid and is first generation college student] P(A∩B)
Computation:
P(A∩B) = P(A) x P(B/A)
P(A∩B) = 0.4 x 0.3
P(A∩B) = 0.12
1
2
3
4
5
6
9
Which expression is equivalent to 5(w+4) when w=g?
O 5(9)
O 915)
05(9)+4
O 5(9) +20
a square and rectangle are shown below the width of the rectangle is the same length at a side of the square both represented by x the length of the rectangle is one foot more than twice its width the perimeter of the rectangle is 26 feet more than that of the square write an expression for the length of the rectangle in terms of x label of the drawing
Answer:
The answer for the length of the rectangle in terms of x is 2x+1=26
Step-by-step explanation:
Four more than twenty-six time a number is equivalent to 12 times the same number less 15.
What is the number?
Answer:
n = -19/14
Step-by-step explanation:
Please transcribe this into a symbolic equation:
26n + 4 = 12n - 15
Then 14n = -19, or n = -19/14.
plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.
Answer:
A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.
Speed = distance / time
Distance = speed × time
Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be
4 × 63 = 252 kilometers.
if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be
Time = distance / speed
= 252/56 = 4.5 hours
The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.
Let speed = s and let time = t
s varies inversely with t
Introducing constant of inverse variation k, it becomes
s = k/t
When s = 56, t = 4.5
56 = k/4.5
k = 4.5 × 56 =252
This is the distance
Step-by-step explanation:
X: -3, 2, 7, 12
Y: 0, 2, 4, 6
Whats the slope ?
Answer:
The Slope in 7,2
Step-by-step explanation:
What’s 9 times 9
Just gave you 100 for free your welcome
Answer:
81! THANK YOU<3333333333333
Answer: 81
Step-by-step explanation: 9 x 9 = 81 Obviously
Chan Hee bought 9.8 pounds of coffee that cost $7.45 per pound. How much did he spend on coffee?
7/4 to 14 and X to 32 PLEASE HELP ME IM LEGIT BRANILESS
Answer:
X = 56/14 = 4
Step-by-step explanation:
2, 5, 8, 11, 14,... ... ... ....
a30
What’s the missing term
Answer:
17, 20, 23, 26, 29, 32,
Step-by-step explanation:
Answer:
17, 20, 23, 26, 29, 32, 35....
Step-by-step explanation:
cause that's how math was made
"don't have a good day, have a great day"
-Guy