The graph of equation V = 5000[tex]e^{0.05t}[/tex] is upward sloping straight line.
We are provided with the equation V = 5000[tex]e^{0.05t}[/tex]
The equation can be simplified as
V = 5000 e0* (0.05t)
V= 250t
This linear equation can be plotted for different values of t which are
If t=0, V = 0
If t=1, V = 250
If t=2, V = 500
If t=3, V = 750
If t=4, V = 1000
If t=5, V = 1250
If t=6, V = 1500
If t=7, V = 1750
If t=8, V = 2000
If t=9, V = 2250
If t=10, V = 2500
If t=11, V = 2750
If t=12, V = 3000
If t=13, V = 3250
If t=14, V = 3500
If t=15, V = 3750
If t=16, V = 4000
If t=17, V = 4250
If t=18, V = 4500
If t=19, V = 4750
If t=20, V =5000
Now, we just have plot these 20 coordinates
The graph of equation V = 5000[tex]e^{0.05t}[/tex] is upward sloping straight line.
A linear equation is an equation with the maximum degree of one. This means that in a linear equation, no variable has an exponent greater than 1. A linear equation's graph is always a straight line.
To know more about graph of linear equation - https://brainly.com/question/28494690
#SPJ9
I need help with this
Answer:i think the anwser is b
Step-by-step explanation:
pls help me so I cant be done with school'
Answer:
2 2/5
Step-by-step explanation:
The height, above the ground, of a block on a vertical spring is a sinusoidal (trigonometric) function of time. In the interval from time 2.1 seconds to time 2.7 seconds, the block's height decreases from its maximum of 48 inches to its minimum of 30 inches. Which function h(t) could model the block's height in inches above the ground at time t seconds?
The cosine function that could model the block's height in inches above the ground at time t seconds is:
h(t) = 9cos(1.67π(x - 2.1)) + 39.
What is the cosine function?The cosine function is defined as follows:
g(x) = acos(bx+c)+d.
The coefficients have these following roles:
a: amplitude.b: The period is of 2pi/B.c: phase shift.d: vertical shift.In this problem, we have that the maximum value is of 48 and the minimum value is of 30(difference of 18), hence the amplitude is given as follows:
2a = 18
a = 9.
A standard cosine function with amplitude 9 would vary the between -9 and 9, while this one varies between 30 and 48, hence the vertical shift is of d = 39.
The minimum and maximum values form half the period, hence:
π/B = 2.7 - 2.1
B = π/0.6
B = 1.67π.
The maximum value in the standard function is at x = 0, while at this function is at x = 2.1, hence the phase shift is of 2.1 units to the right, that is, c = -2.1.
Hence the cosine function is:
h(t) = 9cos(1.67π(x - 2.1)) + 39.
This function is graphed at the end of the answer, showing that the minimum and the maximum values are as desired.
More can be learned about cosine functions at brainly.com/question/21558626
#SPJ1
Mr. Harmin is sitting in his office on the third floor of a building. He is at an elevation of 30 feet in relation to street level. Mr. Ehrig is in the parking garage at an elevation of –35 feet, and Mrs. White is in the parking garage at an elevation of –25 feet in relation to street level. Which statements are true? Check all that apply. Mr. Harmin is closest to street level. Mr. Ehrig is at the lowest elevation. Mrs. White is closest to street level. Mr. Harmin is closer to street level than Mrs. White. Mrs. White is at the highest elevation.
Answer:
Mr. Ehrig is at the lowest elevation. AND .Mrs. White is closest to street level.
Step-by-step explanation:
(-4 + x)/2 = 6 what does x equal?
Answer:
(-4 + x)/2 = 6
-4+x/2 = 6
+4 +4
x/2 = 10
*2 *2
x = 20
Step-by-step explanation:
(-4 + x)/2 = 6
-4+x/2 = 6
+4 +4
x/2 = 10
*2 *2
x = 20
just need the bottom answer I’ll give Brainly please!
Answer:
9# | 914
Step-by-step explanation:
I gotchu fam!
Stem and leaf plots separate the tens place (the stem) from all the ones places (the leaves) in a data set. Therefore, for the given data set, all the numbers with the 9 tens place are:
99, 91, and 94
Therefore, the stem and leaf plot would be
9# | 914
could you guys help me with all 3 pls
Answer:
1. -5×-5×-5=125
2. 35
3. 22
Step-by-step explanation:
I know the first two are right but unsure about last one.
The height above ground of a cannon is a function of the time since it was shot.
Question: When time equals 0, why is the height of the cannon ball not equal to 0? Describe the domain of this function. Describe the range.
At t = 0 the height is not zero because the cannonball is at the end of the barrell of the cannon.
If we define H as the maximum height and T as the time when the cannonball hits the ground, the domain and range are:
domain: [0, T]
range: [0, H]
When time equals 0, why is the height of the cannon ball not equal to 0?
The height is modeled by the graphed parabola.
The height equal to zero would mean that the cannonball is on the ground. Now, at t = 0 we assume that the cannonball is leaving the barrel of the cannon (which is at some given height above the ground). This is why at t = 0 the height of the cannonball is not equal to 0.
Now we also want to describe the domain and range of the graphed function. The domain is the set of the inputs of the function, we can see that it goes from t = 0, when the cannonball is shooted, to a given time T which is when the cannonball reaches the ground.
For the range (the set of the outputs) we can see that it will go from 0 (the ground) to the maximum value that we can see in the graph, a height H.
So, domain: [0, T]
range: [0, H]
If you want to learn more about parabolas:
https://brainly.com/question/4061870
#SPJ1
Which point represents the approximate location of 90 ? A) point A B) point B C) point C D) point D
Answer:
C
Step-by-step explanation:
I took the test
Wendy stops running
A.Speed
B.Velocity
C.Acceleration
Answer:
i think is c tell me if im right
The manager of an electronics store projects that the store should achieve more than $21,000 in revenue from TVs and DVD players every day in order to remain profitable. Its DVD players sell for $380, and TVs sell for $530.
Write an inequality in standard form that describes this situation. Use the given numbers and the following variables.
Answer:
380d + 530t > 21,000
Step-by-step explanation:
Each DVD costs $380, we can represent that as:
380d
Each TV costs $530, we can represent that as:
530t
We add these together to find the total profit:
380d + 530t
The manager predicts that whatever the total profit is, will be more than $21,000. So, we represent that as this:
380d + 530t > 21,000
And that is the final answer.
I hope this helps!!
- Kay :)
Tina had $17. She bought candy that cost $0.78. Then, her mom gave her $6.76 three and a half times. How much money does she have now?
Answer:
$39.88
Step-by-step explanation:
She started with $17
spent $0.78 so
17-0.78 = $16.22
then she got $6.76 3.5 times so
6.76*3.5 = 23.66 and that's what her mom gave her
23.66 + 16.22 = 39.88
She now has a total of $39.88
the answer would be: 39.88
because
17-0.78=16.22
and
6.76*3.50=23.66
so
23.66+16.22=39.88
hope this helps
have a fantastic day/night
Spencer needs 2 gallons of paint to create a mural. He has 3/8 gallon of yellow and 1/4 gallon of blue paint. Drag amounts of paint Spencer can add to the paint he already has to make exactly 2 gallons of paint. HOW MANY 1/8 DO I PUT AND HOW MANY 1/4 DO I PUT?
Answer:
He currently has 5/8 of a gallon. He needs 11/8 more paint to finish his mural.
Add 11/8 gallons or 5/4 and 1/8 of a gallon.
Step-by-step explanation:
Answer:
1 of 1/8 and 5 of 1/4
Step-by-step explanation:
3/8 times 1/4 is 11/8 and 5 of 1/4 is 10/8 and plus 1/8 equals 11/8
The cost, in dollars, of cellular phone service with Econo-phone is given by C = 0.18x + 14.55, where x is the number of minutes used in one month.
a.
0.18 signifies the cost per minute, and 14.55 signifies the monthly service charge.
c.
14.55 signifies the cost per minute, and 0.18 signifies the monthly service charge.
b.
0.18 signifies the hourly phone rent, and 14.55 signifies the cost of the hardware.
d.
14.55 signifies the total phone bill, and 0.18 signifies the number of minutes used.
Answer:
i want to say that your answer is going to be C. 0.18 signifies the cost per minute, and 14.55 signifies the monthly service charge
Step-by-step explanation:
Given the following graph...
A. Evaluate f(4)
B. Solve for f(x)=2
Your question was incomplete. Please refer below for the graph.
We need to know about graph of a function to solve this problem. The answer to (A) is f(4)= -3 and (B) for x= f(x)=2 solutions are -5 and -1.
In a graph of a function, the input values are along the x-axis and the output values are along the y-axis. At any point, the x-coordinate gives the value that is entered and the y-coordinate gives the result. For any point lying on the y-axis, x-coordinate is 0 and for any point lying on the x-axis, y-coordinate is 0. In the given graph we need to first find the value of f(4). For this we see at what point on the graph a vertical line from x=4 intersects with the line. The intersection point is (4,-3), so f(4)=-3. For part (B) we need to solve for f(x)=2, we have to draw a horizontal line from y=2 to see where it intersects with the graph, here we find two intersection points (-5,2) and (-1,2) so we have two solutions for f(x)=2, -5 and -1.
Therefore we evaluated f(4) to get -3 and we got two solutions for f(x)=2, -5 and -1.
Learn more about graph of function here:
https://brainly.com/question/13473114
#SPJ9
What is the value of k?
–36 = k – 6
Answer:
-30
Step-by-step explanation:
-36+6=k
-30=k
k= -30
I NEED THIS ASAP PLEASE How can Biosphere 2 help scientists study natural systems? I will vote Brainliest if its correct.:) pls no playing around if u dont know dont answer it.. i need it asap.
Answer:
Biosphere 2 is a unique facility that allows scientists to research ecosystems and environmental effects in a controlled environment. The controlled environment of the biosphere allows researches to obviate uncontrolled variables that might have an unintended effect on their research. This allows for specific hypothesis about the environment to be tested with a higher degree of certainty. They can study how the ecosystem is affected when there are artifically induced limiting factors. The ability of the scientists to control factors in the ecosystem lets them model almost any environment on earth.
Elena and jade are 12 miles apart on a path when they star moving toward each other . Elena runs at a constant speed of 5 miles per hour , and jada wake at a constant speed of 3 miles per hour. how long does it take until Elena and jada meet?
Answer:
1.5 hrs
Step-by-step explanation:
What is the arithmetic mean of the following numbers?
10, 6, 4, 4, 6, 4, 1
Answer:
5
Step-by-step explanation:
b = [tex]\frac{(a+c)}{2}[/tex]
10+6+4+4+6+4+1 = 35.
35/7 = 5
b = 5
A population grew from 100,000 in 1990 to 124.000 in 2000. What was the percent of increase?
Answer:
24%
Step-by-step explanation:
What is the volume of the rectangular prims ?
They are all different sizes.
please help meeeeeeee
Answer:
Bottom left
Step-by-step explanation:
It took Juan 6.5 minutes to eat 3.25 sandwiches. How many sandwiches did he
eat per minute?
Answer:
he ate .5 of a sandwich per minute
Step-by-step explanation:
i dont know if im right im just going to say 99% but good luck and sorry if this was late
Answer:
2 sandwiches
Step-by-step explanation
first divide 3.25 ÷ 6.5
then you get 2
so it took him 2 sandwiches per minute
hope this help you .ω.
prove
2 x 3.25=6.5
Match each function with the correct translation of the parent function f(x) = |x|.
f(x)= |x|-4
f(x) = |x+ 41
f(x) = |x| +4
f(x) = |x-41
vertical translation up 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation down 4 units
The translation of the parent function f (x) = | x | depends upon whether x value has been changed of whether the y value has been changed.
We are given the parent function as:
f (x) = | x |
Now, we need to match the functions with their correct translations.
For the function f (x) = | x | - 4:
This can also be written as:
f (x) + 4 = | x |
So, the translation will be vertical translation up 4 units.
For the function f (x) = | x + 4 | :
The translation for this will be horizontal translation right 4 units as x will increase by 4 units.
For the function f (x) = | x | + 4:
This can also be written as:
f (x) - 4 = | x |
So, the translation will be vertical translation down 4 units.
For the function f (x) = | x - 4 | :
The translation for this will be The translation for this will be horizontal translation right 4 units as x will increase by 4 units as x will decrease by 4 units.
Therefore, we get that, the translation of the parent function depends upon whether x value has been changed of whether the y value has been changed.
Learn more about translation here:
https://brainly.com/question/24850937
#SPJ9
Choose the equivalent expression
(8¹⁰)²
A. 8²⁰
B. 8¹²
C.8⁸
D. 8⁵
What is the answer to:
1/6(30x+18)≥13
Answer:
x ≥ 2
Step-by-step explanation:
1/6(30x+18) ≥ 13
Distribute the left side
5x + 3 ≥ 13
Subtract 3 from both sides
5x ≥ 10
Divide both sides by 5
x ≥ 2
2/5 equals x over 15 what is X
In a recent school newspaper survey, 3,000 randomly selected teenagers were asked to cite their primary transportation method to school. Fifteen of 20 teenagers said they use their own car to get to school. A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093). Which of the following is a correct interpretation of the confidence level?
Ninety percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who drive their own car to school.
Ninety percent of all samples of this size would yield a confidence interval of (0.5907, 0.9093). (not correct)
There is a 90% chance that the true proportion of teenagers who drive their own car to school will be (0.5907, 0.9093).
Ninety percent of all the samples of size 3,000 lie in the confidence interval (0.5907, 0.9093).
There is a 90% chance that randomly selected teenagers will be part of the 75% who drive their own car to school.
Answer: There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).
Step-by-step explanation:
Interpretation of a% confidence interval : A person can be a% confident that the true population parameter lies in it.
Here, A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093).
i.e. A person can be 90% confident that the true proportion of teenagers who drive their own car to school lies in (0.5907, 0.9093).
Hence, correct interpretation is : There is a 90% chance that the true proportion of teenagers who drive their own car to school will lie in (0.5907, 0.9093).
Answer:
A) Ninety percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who drive their own car to school.
Step-by-step explanation:
took the test
√7.5×√3.5 step and answer
Answer:
√105/2
Step-by-step explanation:
Given the surd expression √7.5×√3.5, this can also be expressed as;
√7.5×√3.5
= √75/10 × √35/10
= √(75×35)/10×`10
=√105×25/100
= 5√105/√100
=5√105/10
=√105/2
Hence the required expression a √105/2
A function, fix), models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these
describes why f(x) can be considered a linear function?
I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount.
II. The function grows by equal factors every minute.
III. The slope of the function is constant.
a. I only
b. I and III only
c. II and III only
d. I, II, and III
Answer: the answer is C trust me bye
Step-by-step explanation: