Answer:
y(t) = 720e^0.3466t
y = 2036.6288
Step-by-step explanation:
The exponential relation :
y = Ae^kt
A = initial value ; y = final value ; r ; k = exponential rate, t = time
At t = 0
y = 720e^0 ; y = 720
At t = 2 ; y = 720e^2k
1440 = 720e^2k
1440/720 = e^2k
2 = e^2k
Take the In of both sides
0.6931471 = 2k
k = 0.6931471 / 2
k = 0.3466
Hence, equation becomes :
y = 720e^0.3466t
After 3 hours ;
t = 3
y = 720e^0.3466*3
y = 720e^1.0398
y = 720 * 2.8286512
y = 2036.6288
Which is the inverse of the difference of 1/3-1/4?
A.0/1
B.1/12
C.7/12
D.12/1
Answer:o/1
Step-by-step explanation:
There were 24 students running in a race. How many different arrangements of first,
second, and third place are possible?
0.4567304 x 2.5678093 = ?
Answer:
1.17279656871
Step-by-step explanation:
Answer:
1.72796569
Step-by-step explanation:
0.4567304 x 2.5678093 = 1.72796569
Which expression represents the following calculation? Add 3.2 to the quotient of 8.4 and 6.
use the information given to find the value of n in each of the following sets of number
Answer:
No picture try uploading it again and I can see if I can help you
What is the volume of this rectangular prism?
2
cm
2
cm
5
cm
5
Answer:
The volume is 8
Step-by-step explanation:
Volume=abc
V=(2/5)(2/5)(2/5)
V=8
Please don’t report I need help. I’m going to be a high school sophomore next fall and I’m selecting my courses should I take Geometry I or Algebra II?????
Answer:
I would say geometry. its easier
Will mark brainliest
Answer:
I think the answer should be Mat A cause it has more space.
The sum of Ryann and Lori's ages is 96. Lori's age is
seven times Ryann's age. How old is Ryann?
Answer:
R = 12
L = 84
Step-by-step explanation:
R + L =96
L = 7R
R = 1R
L = 7R
1 R + 7R = 8R
R = 12
L = 84
hope it helps,
What is the horizontal asymptote of j (x) = StartFraction 14 x cubed + 45 Over 2 x cubed + x + 9 EndFraction
Answer:
C. y=7
Step-by-step explanation:
guy above me was right
The horizontal asymptote of the given function [tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex] would be y = 7.
When do we get horizontal asymptote for a function?The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.
The given function is
[tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]
We need to determine the horizontal asymptote.
Horizontal asymptote;
From the given function, it is obvious that the denominator's degree is smaller than the numerator's degree.
Then, the horizontal asymptote is the y-axis.
Thus, the horizontal asymptote is y = 7.
Learn more about horizontal asymptotes here:
https://brainly.com/question/2513623
#SPJ2
Which of the following is equivalent to 3x - 4y = 6?
y=7
1 x
v==
y
V = 3*+2
v
y= *-2
Answer:
the answer is option D
y =(3/4)x - (3/2)
Someone help me please
Answer: I think 10
Step-by-step explanation: cuz area is length x height and basically you just do square root of 100 Bc thags a square so the sides should be equal
There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points and each question left blank scores 0 points. Eric took the quiz and scored 100 points. How many questions did he left blank?.
He answered 16 questions correctly, and got 3 wrong answers.
==========================================================
Explanation:
Let
x = number of questions that are correct y = number of wrong answers z = number of questions left blankx,y,z are nonnegative whole numbers.
-------------------
Since there are 20 questions total, this means the first equation to set up is:
x+y+z = 20
Solving for y leads to
x+y+z = 20
y+z = 20-x
y = 20-x-z
We'll use this later.
-------------------
Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.
Let's plug the equation in which we isolated y
7x-4y = 100
7x-4(20-x-z) = 100
7x-80+4x+4z = 100
7x+4x+4z = 100+80
11x+4z = 180
-------------------
Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.
If x = 0, then,
11x+4z = 180
11(0)+4z = 180
4z = 180
z = 180/4
z = 45
So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.
If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation
So another solution is (x,z) = (4,34)
Note that
11x+4y = 180
11(4) + 4(34) = 180
But like before, z = 34 isn't possible since 20 is the max.
Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.
Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.
Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.
Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.
We can see that:
7x-4y = 7(16)-4(3) = 112-12= 100
meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.
-------------------
To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)
Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.
Hellpppppppppp pleaseee
Does anyone know the answer?
Answer:
D is the right graph
ASAP PLEASE ‼️‼️❗️‼️‼️❗️
A group of 25 people are going to run a race. The top 12 finishes advance to the finals. find the of possibilities.
Answer:
I dont know what thats asking
Step-by-step explanation:
If the height of the parallelogram shown is increased by 1 cm and the base is increased by 2 cm, what is the area of the new parallelogram?
A parallelogram with a base of 9 centimeters and a height of 4 centimeters.
28 cm2
39 cm2
55 cm2
60 cm2
My main problem: The base isn't at the top, so therefore I am confused. It should be on top of the shape but it is not. If it was I could figure it out.
So sorry I messed it up I let you down :(
Answer:
55 cm²
Step-by-step explanation:
In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)
So the top and bottom base are both 9, and the left and right sides are both 5.
So, to solve, we need to use the equation:
(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²
pls help me on this !!!!!!!!!!!
Answer:
11.8 m
Step-by-step explanation:
2/3πr^3=1100π
r^3=1650
r=11.8
If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in simplest radical form
Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]
Step-by-step explanation:
Given
[tex]\cos a=\dfrac{5}{9}[/tex]
[tex]a[/tex] lies in the fourth quadrant
So, sine must be negative in the fourth quadrant
Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value
[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]
[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]
The temperature in Juneau, Alaska at noon was -8 degrees Celsius. By 1 PM, the temperature increased by 10 degrees. Draw a number line to represent the situation and determine the temperature at 1 PM.
Answer:
2 degrees
Step-by-step explanation:
1) The temperature at 12:00 PM was -8 degrees celsius
2) The temperature at 1:00 PM was 10 degrees higher than at 12:00 PM
3) -8 + 10 = 2
4) The temperature at 1:00 PM was 2 degrees celsius
5) Draw a number line with the labels 12:00 PM and 1:00 PM on either end
6) Label above 12:00 PM -8 degrees celsius, and above 1:00 PM 2 degrees celsius
7) Draw an arrow pointing from 12:00 PM towards 1:00 PM to show that the temperature changes between 12:00 PM and 1:00 PM
I hope this helps :D
Answer:the answer is -4f
Step-by-step explanation:
I need answer immediately!!!!!
Answer:
4 PM
Step-by-step explanation:
At 4 PM the temperature reached 68 degrees Fahrenheit??
Answer:
[tex]4\:\text{PM}[/tex]
Step-by-step explanation:
The first point where [tex]y=68[/tex] occurs at [tex]x=4[/tex], hence [tex]\boxed{4\:\text{PM}}[/tex]
the nth term of a sequence is 6 - n work out the first three terms and the 20th term of the sequence.
please help
Step-by-step explanation:
a_n=6-n
➜a_1=6-1
➜5➜,a_2=6-2
➜4➜a_3=6-3
➜3➜a_20=6-20
➜-14Find the missing value so that the line passing through the 2 points has the given slope.
(-7,-3) and (-1. y); slope: 1
Answer:
3
Step-by-step explanation:
We know that the slope of a line passing through the points ( x ₁ , y₁) and ( x₂ , y₂ ) is ,
→ Slope ( m ) = ( y₂ - y₁) / ( x₂ - x ₁ )
The points here are (-7,-3) and (-1,y) . Using formula of the slope , we have ,→ m = -3 - y / -7 - (-1)
→ 1 = -(3+y)/ -7+1
→ 1 = -(3+y) / -6
→ 6 = 3 + y
→ y = 6 - 3
→ y = 3
Hence the value of y is 3 .dont just comment for points.
Answer:
that looks good
Step-by-step explanation:
hi pls, help me with this, I am giving 15 points 10 for answering the question and 5 for telling me what is Q1 meaning and Q2 meaning ty!
The table below shows 10 data values:
125, 138, 132, 140, 136, 136, 126, 122, 135, 121
What values of minimum, Q1, median, Q3, and maximum should be used to make a box plot for this data?
A.) Minimum = 121, Q1 = 125, median = 133.5, Q3 = 136, maximum = 140
B.) Minimum = 121, Q1 =136, median = 133.5, Q3 = 125, maximum = 140
C.) Minimum = 125, Q1 = 130.25, median = 132.5, Q3 = 134.5, maximum = 138
D.) Minimum = 125, Q1 =134.5, median = 132.5, Q3 = 130.25, maximum = 138
Answer:
we have to put the numbers in order..
(121,122,125, 126,132),M,(135,136,136,138,140)
Step-by-step explanation:
minimum : (smallest number) = 121
Q1 : 125
Q2 (median) : (132 + 135) / 2 = 267/2 = 133.5
Q3 : 136
maximum : (largest number) = 140
I did this a long time ago so im not so sure
Answer:
Step-by-step explanation:
121 122 125 126 132 135 136 136 138 140
140 -121 =19 range
Min=121 max =140
Mean = 131.1
Median = 132+135=267/2=133.5
which aniaml traveled at a rate of 1.5 meter per minute
Answer:
A turtle.
Step-by-step explanation:
Solve: 8 (5 + 3)
1. What number are you distributing?
2. Show your work
3. Answer is?
Answer:
64
you are distrbuting both the 8 which =64
Step-by-step explanation:
See the steps below:)
Answer:
Step-by-step explanation:
8(5+3)
You distribute what's in the Parentheses
8 x 5 = 40 and 8 x 3 = 24
40+24 = 64
Please Help!!!! Write an exponential function. In your own words, describe the rate of change of this function and what the graph looks like.
Answer:
A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.
Step-by-step explanation:
Answer:
A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.
Step-by-step explanation:
which number line shows the soulution
Answer:
The answer is C.
Write 56/1000 as a decimal.
Answer:
0.056
Step-by-step explanation:
Answer:
56/1000 = .056
Step-by-step explanation:
56/100 = .56
56/1000 = .056
56/10000 = .0056