Using an exponential function, it is found that the video got 8,314 total views over the course of the first 12 days.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growtn rate, as a decimal.On the first day it was posted online, a music video got 250 views, and the number increased by 16% a day, hence the A(0) = 250, r = 0.16, and the equation is given by:
[tex]A(t) = 250(1.16)^t[/tex]
The total amount over the first 12 days is given by:
[tex]T = \int_{0}^{12} A(t) dt[/tex]
[tex]T = \int_{0}^{12} 250(1.16)^t dt[/tex]
[tex]T = 250\frac{(1.16)^t}{\ln{1.16}}|_{t = 0}^{t = 12}[/tex]
Applying the Fundamental Theorem of Calculus:
[tex]T = 250\frac{(1.16)^{12}}{\ln{1.16}} - 250\frac{(1.16)^0}{\ln{1.16}}[/tex]
T = 8314.
The video got 8,314 total views over the course of the first 12 days.
More can be learned about exponential functions at https://brainly.com/question/25537936
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Winnie collects data from a random sample of seventh graders out of 60 responders 18 attended after school programs of the 220 graders attending winnies school how many would be expected to attend after school programs
If the fifth term of an arithmetic sequence is 11 and the common difference is 4, then the sixth term of the sequence is _______.
Answer:
15Step-by-step explanation:
11+4=15
The sixth term of an arithmetic sequence with fifth and common difference of 11 and 4 respectively is 15
Arithmetic sequence formulaaₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore,
11 = a + 4d
d = 4
Hence,
11 = a + 4(4)
11 = a + 16
a = 11 - 16
a = -5
Therefore, the sixth term is as follows
a + 5d = a₆
-5 + 5(4) = a₆
a₆ = -5 + 20
a₆ = 15
learn more on arithmetic sequence here: https://brainly.com/question/11242271
© Sally borrowed $14,000 at an interest rate
of 10% for 5 years. How much interest did
She pay? Show work and select your answer,
What function is related to the graph?
Answer:
f(x) = 2x, x > 2
Step-by-step explanation:
f(x) = 2x, x > 2
Since choices weren't given I only know one of the lines
-8 + 9 · 2 ÷ -3. please explain it to me step by step.
Answer:
-14
Step-by-step explanation:
Type it in a calculator
Answer:
-14
Step-by-step explanation:
positive 9 × 2 = 18 ÷ 3 = -6
negative 6 + negative 8 = - 14
a negative plus a negative always equals a negative
Hope this helps or if you don't understand you can use photo math <3
Hi, Please Help Me With This Math Question! 8th Grade!
Which box plot matches the data set?
10, 14, 20, 24, 30, 40, 43, 45, 46, 48
For this data set, the first quartile is 20, the median is 35, and the third
quartile is 45.
Answer: C
Step-by-step explanation:
Um a number would be okay anything would be helpful
Answer:22.1
Step-by-step explanation: tan44.2=h/100
tan44.2*100=h
22.102863493=h
h=22.1(nearest tenth)
If 3/4=x/16, then x =
Answer:
12
Step-by-step explanation:
We can try and get both sides to have a common denominator. If we multiply the left side by 4, we get 12/16=x/16. Here, it is clear that x=12.
Answer:
x is equal to 12/16
Step-by-step explanation:
If you divide 12/16 by 4 you will realize that it is equal to 3/4. Therefore x is equal to 12. That is a really explanation, but hope it helps!
Write the standard form equation (Ax + By + C =0) for a line that is perpendicular to
y= 2x + 7 and has the same y-intercept as the line y=5x - 5.
Put only the coefficients for A, B and C
Answer:
A = 1
B = 2
C = 10
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
The slopes of parallel lines are negative reciprocals
------------------------------
y = 2x + 7
slope = 2
slope of perpendicular line is the negative reciprocal of 2
slope = -1/2
y = 5x - 5
y-intercept is -5
-----------------------
slope intercept form of perpendicular line
using slope = -1/2 and y-intercept = -5
y = -(1/2)x - 5
Change to standard form:
multiply both sides by 2
2y = -x - 10
Add x + 10 to both sides
x + 2y + 10 = 0
Therefor
A = 1
B = 2
C = 10
SOMEONE please just explain this to me I need to pass
Answer:
4
Step-by-step explanation:
I think I'm not that sure
Answer:
h = 0
Step-by-step explanation:
Ok, I got you.
To begin, everyone knows that y = mx + b is the equation for any slope-intercept form problem.
y = the y - value of a point
m = the slope
x = the x - value of a point
b = the y - intercept (or where the line starts)
So, you are given the slope, and you're given the y - value. But, you don't have the x - value in the second point.
That mean's you're going to have to use the first point, because you're given both the x and y values, to find the y - intercept.
Simply, plug in the y and x values where they belong.
2 = 6 (-1) + b
(Remember the 6 is the slope)
Now, solve for b.
2 = -6 + b
8 = b
Now, you know the y - intercept.
So, you can find the value of h in the second point. Since you don't know the x - value, plug in what you do know and solve for y.
So...
8 = 6 (x) + 8
(Remember 6 is the slope and 8 is the y - intercept)
Now, solve for x.
8 = 6x + 8
0 = 6x
0 = x
The value of h is 0.
I hope this helps :)
The scatter plot and a line of best fit show the relationship between the number of cramps football players get during a week of practice and the number of cups of water that those players drank on a daily basis.
Which statement describes the relationship between the number of cramps and the number of cups of water?
Answer: A- the number of weekly cramps a football player got decreased by one for every one daily cup of water that the player drank.
Step-by-step explanation:
Answer:
C.
The number of weekly cramps a football player got decreased by one for every one daily cup of water that the player drank.
Step-by-step explanation:
I know its not helpful but i did the study island and it was right, sorry for the inconvineince
PLEASE IM BEGGING YOU
Which is closest to the number of hot chocolates the owner would expect
to sell when the temperature is 38°F?
19
15
23
Answer: the answer is 19
Step-by-step explanation:
Can someone help me plz I don’t understand and its due in a few?
Answer:
Step-by-step explanation:
pattern by pattern
3f=-2x-4 pls help with this
Answer:
I think it will be f= -2/3x-4/3
I think that is correct I wasn't sure what you were looking for
Step-by-step explanation:
I have keys, but no locks and space, and no rooms. You can enter, but you can’t go outside. What am I?
Answer:
It's a keyboard XD
What fraction of the large square is shaded? Show your work
Answer:
1/3
Step-by-step explanation:
Answer: 1/8 of the square
Step-by-step explanation:
brainliest goes to whoever answers the question correctly
Answer:
A
Step-by-step explanation:
A = 8/7
B = -7/8
C = .78
A is the greatest
what is the decinal for this word for thirty four hundereth
Answer:
thirty-four hundredths is 0.34
Step-by-step explanation:
Answer:
0.34
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3)
[tex] - |10| = - 10[/tex]
4)
[tex] |15| = 15[/tex]
5)
[tex] |7 - 4| = |3| = 3[/tex]
the additive inverse of 21
Answer:
-21
Step-by-step explanation:
Additive Inverse Calculator determines the additive inverse property of 21 is -21 along with a stepwise explanation of how to derive the additive inverse for the given number.
The positive number is negative and a negative number is positive while in additive inverse.
°^°
What is the range for
Answer:
In statistics, the range of a set of data is the difference between the largest and smallest values.
Step-by-step explanation:
Easy as pie
Robert invested $7,600 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $8,600?
Answer:
the answer is 7
Step-by-step explanation:
Compounded Continuously:
A=Pe^rt
A=8600
P=7600
r=0.019
8600=7600e^0.019t
[tex]\frac{x}{y} 8600\\ 7600[/tex] =[tex]\frac{x}{y} 7600e^0.019t\\7600[/tex]
1.1315789=e^0.019t
In(1.1315789)=e^0.019t
ln(1.1315789)=
\,\,0.019t
0.019t
6.5059977=t
t=7
thxxxx byee
9. The Osbornes have an annual income of $66,000 and monthly expenses of $5300, and they
are trying to determine whether or not they qualify for Chapter 7 bankruptcy. Their annual
income is greater than that of the median annual income of their state, but they still may be
eligible according to the means test. Help the Osbornes through the steps of the means test to
see if they qualify.
Part I: What is the Osbornes' monthly income?
I
Part II: What is the Osbornes' monthly income minus monthly expenses?
Part III: What is 60 times the answer to Part II?
Part IV: Is the answer to Part III greater than or less than $10,000?
Part V: Are the Osbornes eligible for Chapter 7 bankruptcy according to the means test?
A family qualifies for bankruptcy if the difference between their monthly income and expenditure, multiplied by 60 is greater than $10,000. So, The Osbornes qualify for chapter 7 bankruptcy.
We have the following parameters:
[tex]Annual\ Income = \$66000[/tex]
[tex]Monthly\ Expenses = \$5300[/tex]
To calculate the monthly income, we simply divide the annual income by 12 (12 is the number of months in a year)
So, we have:
[tex]Monthly\ Income = \$66000 \div 12[/tex]
[tex]Monthly\ Income = \$5500[/tex]
The difference between the monthly income and the expenses is:
[tex]Difference = Monthly\ Income - Monthly\ Expenses[/tex]
[tex]Difference = \$5500 - \$5300[/tex]
[tex]Difference = \$200[/tex]
The above result multiplied by 60 is:
[tex]Product = Difference \times 60[/tex]
[tex]Product = \$200 \times 60[/tex]
[tex]Product = \$12000[/tex]
$12000 is greater than $10000
Since $12000 is greater than $10000, then they are eligible for chapter 7 bankruptcy.
Learn more about bankruptcy test at:
https://brainly.com/question/4418659
Question 7 of 10
For which sample size (n) and sample proportion (6) can a normal curve be
used to approximate the sampling distribution?
O A. n = 45; Ø = 0.8
O B. n = 90; 0 = 0.9
O C. n = 90; i = 0.8
D. n = 45; P = 0.9
SUBMIT
Answer:
C. n = 90; p = 0.8
Step-by-step explanation:
According to the Central Limit Theorem, the distribution of the sample means will be approximately normally distributed when the sample size, 'n', is equal to or larger than 30, and the shape of sample distribution of sample proportions with a population proportion, 'p' is normal IF n·p ≥ 10 and n·(1 - p) ≥ 10
Analyzing the given options, we have;
A. n = 45, p = 0.8
∴ n·p = 45 × 0.8 = 36 > 10
n·(1 - p) = 45 × (1 - 0.8) = 9 < 10
Given that for n = 45, p = 0.8, n·(1 - p) = 9 < 10, a normal distribution can not be used to approximate the sampling distribution
B. n = 90, p = 0.9
∴ n·p = 90 × 0.9 = 81 > 10
n·(1 - p) = 90 × (1 - 0.9) = 9 < 10
Given that for n = 90, p = 0.9, n·(1 - p) = 9 < 10, a normal distribution can not be used to approximate the sampling distribution
C. n = 90, p = 0.8
∴ n·p = 90 × 0.8 = 72 > 10
n·(1 - p) = 90 × (1 - 0.8) = 18 > 10
Given that for n = 90, p = 0.9, n·(1 - p) = 18 > 10, a normal distribution can be used to approximate the sampling distribution
D. n = 45, p = 0.9
∴ n·p = 45 × 0.9 = 40.5 > 10
n·(1 - p) = 45 × (1 - 0.9) = 4.5 < 10
Given that for n = 45, p = 0.9, n·(1 - p) = 4.5 < 10, a normal distribution can not be used to approximate the sampling distribution
A sampling distribution Normal Curve
45 × (1 - 0.8) = 9
90 × (1 - 0.9) = 9
90 × (1 - 0.8) = 18
45 × (1 - 0.9) = 4.5
Now we will investigate the shape of the sampling distribution of sample means. When we were discussing the sampling distribution of sample proportions, we said that this distribution is approximately normal if np ≥ 10 and n(1 – p) ≥ 10. In other words
Therefore;
A normal curve can be used to approximate the sampling distribution of only option C. n = 90; p = 0.8
Doreen walks 3.46 kilometers on the treadmill. How many meters does Doreen walk?
Answer:
3460 m
Step-by-step explanation:
There are 1000 meters in a kilometer and since Doreen walks 3.46 km, she must walk 3460 m.
3.46 x 1000 = 3460
Answer:
3.46 km = 3.46*1000m = 3460 m
PLEASE PLEASE HELP ME ASAP I NEED THIS SO BAD
==================================================
Work Shown:
Make sure your calculator is in degree mode.
cos(angle) = adjacent/hypotenuse
cos(37) = 30/x
x*cos(37) = 30
x = 30/cos(37)
x = 37.5640697 approximately
x = 37.6
Tommy wants dessert for dinner so his mom is making dinner cupcakes. Her recipe yields 6 cupcakes but she only wants to make 3. Can you halve this recipe so Tommy can have cupcakes for dinner?
Answer:
yes
Step-by-step explanation:
half of 6 is 3 so
arithmetic sequences
Answer:
For 1, you'd have 14, 7, 0, -7
Step-by-step explanation:
Remember arithmetic sequences are adding the same thing (the difference) over and over and over. So in this case, you have the following:
1st blank: 14 + d
2nd blank: 1st blank + d OR (14 + d) + d = 14 + 2d
the -7 then is the 2nd blank + x OR [(14 + d) + d] + d
So you are adding 3d to the 14 to get to the -7. Set that up as the equation:
14 + 3d = -7.
When you solve for d, you get -7. That's what you'll add to 14 to get the first number, then add it again to get the second, etc.
The coefficient in front of d will always be one more than the number of spaces since you are adding the difference to find each blank IN ADDITION TO the last number in the sequence. So #4 would be setup like this:
2 + 5d = 57
Good luck!
What is the area of the triangle?
Answer:
126.5 cm²
Step-by-step explanation:
(23×11)×1/2=Area
(253) × 1/2
=126.5
hope this helped