The number of views on a viral video can be modeled by the function Q(t)=410(5)^{2t}.Q(t)=410(5) 2t . Write an equivalent function of the form Q(t)=ab^t.Q(t)=ab t .
Answer: Q(t) = 410*(5)^(2t) = 410*(5^2)^t = 410*(25)^t
Step-by-step explanation:
We start with the equation:
Q(t) = 410*(5)^(2t)
And we want to rewrite this in the form:
Q(t) = a*b^t
To do this, we need to use the property:
(a^x)^y = a^(x*y)
Using this, we can rewrite:
Q(t) = 410*(5)^(2t) = 410*(5^2)^t = 410*(25)^t
And this is the form that we wanted:
Answer:
13120(16)^t
Step-by-step explanation:
The number of views on a viral video can be modeled by the function Q(t)=820(4)^{2t+2}.Q(t)=820(4)
2t+2
. Write an equivalent function of the form Q(t)=ab^t.Q(t)=ab
t
.
Q(t)=
Q(t)=
\,\,820(4)^{2t+2}
820(4)
2t+2
Q(t)=
Q(t)=
\,\,820\cdot\color{steelblue}{4^{2t+2}}
820⋅4
2t+2
Q(t)=
Q(t)=
\,\,820\cdot\color{steelblue}{4^{2t}\cdot 4^{2}}
820⋅4
2t
⋅4
2
\small 4^a\cdot4^b \rightarrow 4^{a+b},4
a
⋅4
b
→4
a+b
, but going backwards \small 4^{a+b}\rightarrow 4^a\cdot 4^b4
a+b
→4
a
⋅4
b
Q(t)=
Q(t)=
\,\,820\cdot\color{steelblue}{4^{2}\cdot 4^{2t}}
820⋅4
2
⋅4
2t
Switch order of multiplication
Q(t)=
Q(t)=
\,\,(820\cdot\color{steelblue}{16})\cdot \color{steelblue}{4^{2t}}
(820⋅16)⋅4
2t
Evaluate \color{steelblue}{4^{2}=16}4
2
=16
Q(t)=
Q(t)=
\,\,13120(4)^{2t}
13120(4)
2t
Multiply 820\cdot 16=820⋅16=1312013120
Q(t)=
Q(t)=
\,\,13120(4^{2})^{t}
13120(4
2
)
t
Since (4^a)^b\rightarrow 4^{ab},(4
a
)
b
→4
ab
, we can go backwards 4^{ab}\rightarrow (4^a)^b4
ab
→(4
a
)
b
Q(t)=
Q(t)=
\,\,13120(16)^{t}
13120(16)
t
Evaluate 4^{2}=164
2
=16
Michael has 3 quarters, 2 dimes, and 3 nickels in his
pocket. He randomly draws two coins from his pocket,
one at a time, and they are both dimes. He says the
probability of that occurring is because 2 of the 8
coins are dimes. Is he correct? Explain.
My Answer:
The events are dependent.
The size of the original sample space is 8. It changes to 7 after the first dime is chosen.
The probability of picking the first dime is 2/8.
The probability of picking the second dime is 1/7
To find the probability of the compound event, multiply the probabilities.
I got it correct, on edge 2020/2021
Answer:
No. Choosing two dimes are dependent events. The probability of choosing the first dime is 14 and the probability of choosing the second dime is 17 . The probability that both coins are dimes is (14)(17) = 128.
Hope this helps and the other guys is right :)
Step-by-step explanation:
If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is
Answer:
Equal
Step-by-step explanation:
If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is equal
A company prints 4580 copies of the same book. The number of pages in the book, including the cover pages, is 79. What is the total number of pages, including the cover pages, that the company prints?
Answer: 361,820 pages
Step-by-step explanation:
The company prints 4,580 copies of the same book and it has 79 pages including cover pages.
The total number of pages the company prints therefore is:
= 4,580 * 79
= 361,820 pages
You roll a 6-sided die twice. What is P(1, less than 3)? Simplify
your answer and write it as a fraction or whole number.
Answer:
1/18Step-by-step explanation:
Probability of 1 is 1 out of 6:
1/6Probability of less than 3 is:
1 or 2 out of 6 = 2/6 = 1/3P(1, less than 3) is
1/6* 1/3 = 1/18Total sample space
{1,2,3,4,5,6}So
P(1)
1/6P(<3)
2/6=1/3P(1,<3)
1/6×1/31/184(x - 7) = 4x - 28
what property
commutative
identity
associative
distributive
Answer:
0
Step-by-step explanation:
4
(
−
7
)
=
4
−
2
8
4(x-7)=4x-28
4(x−7)=4x−28
Solve
1
Distribute
4
(
−
7
)
=
4
−
2
8
4
−
2
8
=
4
−
2
8
2
Add
2
8
28
28
to both sides of the equation
4
−
2
8
=
4
−
2
8
4
−
2
8
+
2
8
=
4
−
2
8
+
2
8
3
Simplify
Add the numbers
Add the numbers
4
=
4
4
Subtract
4
4x
4x
from both sides of the equation
4
=
4
4
−
4
=
4
−
4
5
Simplify
Combine like terms
Combine like terms
0
=
0
Result
0
=
0
The input is an identity: it is true for all values
Answer:
associative
4 is associated in the bracket
=( 4x-7 )
Morgan knows that 3 gallons of water weigh 25 pounds.
How much do 10 gallons of water weigh?
their corresponding helpppopooequivalent expressions,
Help help
.............. Help! Easy math practice
9514 1404 393
Answer:
2 11/28
Step-by-step explanation:
6 1/7 = 3 3/4 + p
p = 6 1/7 - 3 3/4 = 5 32/28 - 3 21/28 = (5 -3) +(32-21)/28
p = 2 11/28
Answer:
2 11/28
Step-by-step explanation:
She uses 13 of her supply of sunflower seeds to make a salted snack mix and 29 of her supply to make an unsalted snack mix. If Cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply?
Answer:
18 pounds
Step-by-step explanation:
Here is the full question :
Cecile packages snack mix at a health food store.
She uses 1/3 of her supply of sunflower seeds to make a salted snack mix and 2/9 of her supply to make an unsalted snack mix. If Cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply?
Let x = Cecile's supply
1/3 of x = 1/3x
2/9 of x = 2/9x
1/3x + 2/9x = 10
adding the fraction together gives 5/9
5/9 x = 10
solve for x = 18 pounds
HELP, DUE TODAYY! photo attached
Answer:
UGHH SOMONE ANWER MY QUESTIONSS
Step-by-step explanation:
A student measures the length of her dress to be 60 inches long but the actual length of her dress is 65 inches long. What is the percent error of this student
Answer:
8.333% error
Step-by-step explanation:
using percent error formula
(actual - expected) / expected * 100 %
actual = 65
expected = 60
plug
(65-60)/60 * 100%
= 8.33 %
line a passes through points (5,8) and (10,6). line b is perpendicular to a. what is the slope of line b?
Answer:
2/5
Step-by-step explanation:
First, we need to find the slope of line a. To do this, we subtract the two y values and then the two x values and divide these two differences.
10-5=5
6-8=-2
5/-2= -5/2
A perpendicular line's slope will always be equal to the negative reciprocal of the intersects. So, we just flip the numerator and denominator and then add a negative to our first slope to get the slope of line b.
-2/5
--2/5
2/5
Have a wonderful day! :D
Find the area of the semicircle
Either enter an exact answer in terms of * or use 3.14 for and enter your answer as a decimal
units
Answer:
4.4
Step-by-step explanation:
Help help help brisnly
Answer:
5/6
Step-by-step explanation:
Find common denominator,6.
Multiply the fraction to be able to have the denominator of each fraction to be 6.
(If you multiply the denominator by a number then you need to multiply the numerator by the same number.)
New problem 4/6+1/6
5/6
Hope this helps!! :)
(It may be a bit confusing but I tried my best)
Brainliest?!?!
Stay safe and have a wonderful day/night/afternoon!!!
can i please get some help on this i will mark brainlyest (i dont know how to spell it)
Answer: The first one is17power-9
The second one is 1
Step-by-step explanation:
1×9=9 wish property is this
Answer:
identity property of multiplication
Step-by-step explanation:
Answer:
it is Multiplicative Identity Property
The sum of two numbers is 81 the difference of the same two numbers is 33 write a system of equations to represent this situation then find the numbers
Answer:
48
Step-by-step explanation:
Round 0.485 correct to 1 significant figure
Answer:
0.5
Step-by-step explanation:
the first significant figure is the non zero
Write an expression for the slope of the line in the graph using the letters u,v,s, and t.
Answer:
We conclude that the slope between (s, t) and (u, v):
slope = [v - t] / [u - s]Step-by-step explanation:
We can find the slope between two points (x₁, y₁) and (x₂, y₂) using the formula
slope = [y₂ - y₁] / [x₂ - x₁]
In our case, the two points are
(x₁, y₁) = (s, t)
(x₂, y₂) = (u, v)
Thus, the slope between (s, t) and (u, v)
slope = [v - t] / [u - s]
Therefore, we conclude that the slope between (s, t) and (u, v):
slope = [v - t] / [u - s]Pls Answer!!!! Will make Brainliest!!!
1. Show that (a+bi)^2 = (a+b)(a−b) + 2abi
2. Show that (2x+i)(2x−i) = 4x2 +1
3. Show that (1+i)2 = 2i
Step-by-step explanation:
sorry i sent the wrong image hold on
Guys I need 1 more thing to do!
Once I am done then the 50 giveaway will start!
:D
Alright! Will look towards it if it didn’t start yet!
There is a average of 50,000 spiders per acre in green areas, How many spiders would be in 1/4 of an acre?
Find the value of – 6 – (-10) + (-2)
Answer 6
Step-by-step explanation:
= -6 - (-10 + (-2))
= -6 - (-12).
= -6 + 12
= 6
what is the solution to this system of equations? Answer for Brainliest!!!
Round to the nearest tenth (TIMED PLEASE help!!!)
Answer:
[tex]A = 180 - (90 + 72) \\ A= 18° \\ \\ from \: pythogoras \\ a = 3.4 \\ b = 10.5[/tex]
How many centimetres are there
in 2m 10cm
Answer:
Step-by-step explanation:
we know that
1m=100 cm
2m=200 cm
2 m and 10 cm= 210 cm
Answer:
1metre has a 100 cm
So 100 x 2=200cm
200cm|+10cm=210
2m10cm=210 cm
Step-by-step explanation:
Explain the importance of putting your data set in order from least to greatest
Answer:
The mean may not be a fair representation of the date
Step-by-step explain the average is easily influenced by outliers (very small or large values in the data set that are not typical). The median is another way to measure the center of a numerical data set. ... Thus, the median is truly the middle of the data set.
A club logo is made from a square and a trapezium.
Calculate the area of the logo.
4cm
2cm
8cm
Answer:
hi im from another country see ya ... your country is amazing
Step-by-step explanation:
If Mr. Jones buys paddles for $35 instead of $50 and uses the same percent increase on price how many paddles most Mr. Jones sell for the total paddle sales before tax and to be at least $250 explain your answer
Answer: 4 paddles
Step-by-step explanation:
Mr. Jones buys the paddle for $35 and sells at 180% of the purchase price:
= 35 * 180/100
= $63
For the number of paddle sales to be at least $250, he should sell:
= 250/63
= 3.97
= 4 paddles