After 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.
It is given that the website hosting the song uses the function:
[tex]\rm f(t) = 2002t^2[/tex] to represent the number of daily hits over time, where t is time in days.
It is required to predict the day on which the number of daily hits reaches 1,000,000.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm f(t) = 2002t^2[/tex]
When f(t) = 1,000,000 then what will be the value of 't'
Simply:
[tex]\rm 1,000,000 = 2002t^2\\\rm 499.500 = t^2\\\rm \sqrt{499.500} = t\\\rm t = 22.349\ Days[/tex]
t = 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34).
Thus, after 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes), and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.
Learn more about the function here:
https://brainly.com/question/5245372
The day on which the number of daily hits of the considered song for the specified website reaches 1,000,000 is 23rd day.
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
So, suppose the day is t = d (dth day from the launch of the song) on which the daily hits reaches 1,000,000.
Then, evaluating the function [tex]f(t) = 2002(t^2)[/tex] at t = d should give us 1000000
Putting it, we get:
[tex]f(d) = 1000000\\2002(d^2) = 1000000\\\\\text{Dividing both the sides by 2002}\\\\d^2 = \dfrac{1000000}{2002}\\\\d = \sqrt{\dfrac{1000000}{2002}}\approx 22.35[/tex]
So after 22th day, ie on 23rd day (as 22.35 = 22 + 0.35 which shows 23rd day is still not completed) of the launch of the song, the number of daily hits reaches 1,000,000.
Thus, the day on which the number of daily hits of the considered song for the specified website reaches 1,000,000 is 23rd day.
Learn more about evaluating a function at a value here:
https://brainly.com/question/2753269
Ivan must choose a number between 55 and 101 that is a multiple of 4, 5, and 8. Write all the numbers that he could choose. If there is more than one number, separate them with commas.
Solution:
1. Since the numbers must be divisible by 2 even numbers, all odd numbers are ruled out because odd numbers are not divisible with even numbers.
In this case, the numbers that are possible are:
56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 1002. Since the numbers must be divisible by 5, it rules out a few more numbers.
In this case, the remaining numbers are:
60, 70, 80, 90, 100We can clearly tell that the only number that is divisible by 8, 5, and 4 is 80.
Thus, 80 is the number.
-4m + 2n = 6
-4m + n = 8
solve for and x and y steps
I am doing this problem assuming that you mean to solve for m and n as x and y do not exist in this system of equations.
-4m+2n=6
-4m+n=8
We can see that the coefficient of x for both equations are -4; therefore, elimination with subtraction is possible.
First equation - second equation
n=-2
Then substitude back in to solve for m
-4m+(-2)=8
4m=10
m=5/2
Therefore the answer is
n= - 2
m= 5/2
I hope this helped and if you have any questions please ask.
please help please please
Answer:
f(-2) = 8
Step-by-step explanation:
Graph y = f(x)
Find value of f(-2)
when f(x) = f(-2)
Here we are looking for the value of y when x = -2
From the graph when x = -2 then y = 8
Therefore, f(-2) = 8
An elephant weighs 8.8 x 103 kg. A small dog weighs 4 kg. How many
4
times heavier is the elephant than the dog?
A 22,000 times heavier
B. 2,200 times heavier
C. 220 times heavier
D. 22 times heavier
Answer:
I'd have to go with C.
Step-by-step explanation:
8.8 x 103=
906.4
And if you have to times it by 4, than its most likely 220
220 x 4=
880
Explain how you would go about graphing this equation? What would be your first step and how would you go from there? Y=4x+6 *
Step-by-step explanation:
First I would look at the y intercept. In a linear equation, y = mx + b, b is the y-intercept and m is the slope. This means that (0,6) is a point on the line since at a y-intercept, the x value is 0. First you should plot this point.
Next, the slope is 4, meaning that for every 1 unit to the right, the line rises 4 units. You can count 1 to the right and 4 up from the y-intercept, which gives you (1,10), a second point on the line. After this, you can connect the two points and there you go, you have a graph!
A private college runs a 3-semester school-
year schedule. The college charges $9,308 per
semester for tuition and room and board,
How much would it cost to attend this college
for 4 years?
A $121,848
B $111,696
C $37,232
D $27,924
Heres the problem....
Someone plz help me lol :(
Answer:
B)
Step-by-step explanation:
The rectangle is being translated. It is moving up 3, so positive 3, and to the left 6, so -6.
Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.
The given circle having two external tangents, according to circle
theorem, have the following values;
r = 3m∠1 = 82°m∠2 = 49°x = 82°How can the radial length and angles be found?r² + 1.6² = (0.4 + r)²
(0.4 + r)² - (r² + 1.6²) = 0
0.8·r - 2.4 = 0
0.8·r = 2.4
r = 2.4 ÷ 0.8 = 3
r = 3y = 49°
From the two tangent angle theorem, we have;
m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82
m∠1 = 82°According to circle theorems, angle at the center is twice angle
subtended at the circumference.
m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°
m∠2 = 49°The length of the chord subtended by the arc x is equal to the length of
the chord subtended by 89°, which gives;
x = 82°Learn more about circle theorems applications here:
https://brainly.com/question/16879446
3 Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for reason "Cannot be determined." b ∆BLK ≅ △____ By rule ____
Answer:
it cannot be determined not enough info
construct a matrix of order 3×1
Step-by-step explanation:
A matrix of order 3×1 means it has 3 rows and one column.
[tex] \huge \red{ \begin{pmatrix} a \\\\b \\\\c \end{pmatrix} }[/tex]
Mark drew a regular octagon with side lengths of 10 inches. He divided the octagon into two identical trapezoids and a rectangle. He measured the height of one of the trapezoids to be 7 inches, and the width of the rectangle to be 24 inches. Find the area of the octagon.
Answer:
482.84
Step-by-step explanation:
[tex]A = 2 ( 1 +\sqrt{2} ) a^{2} = 2 multiply ( 1 +\sqrt{2} ) multiply 10^{2} = 482.84271[/tex]
Hope it helps!!!Brainliest pls!!!
I am really sorry but just think that the "MULTIPLY" is when you just have to multiply the number and I can't change it.
Find each missing measure. Use 3.14
Answer:
8) 25.12
9) 15.07
10) 48.98
11) 1962.5
12) 20
13) r = 8.5
14) diameter: 72 radius: 36
t costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)
Answer:
4.76
Step-by-step explanation:
it just is
The volume of a sphere is 36 cubic inches. What is the radius of the sphere?
Answer:
2.05 inches
Step-by-step explanation:
V = 4/3 x πr³
36=4πr³/3
36x3= 4πr³
108= 4πr³
108/4 = πr³
27= πr^3
27/π =r³
r=
[tex] \sqrt[3]{27 \div \pi} [/tex]
r= 2.048in
round off to 2.05in
PROOF
V = 4÷3 x πr³
V= 4/3 x π(2.05)³
V=4/3 x π8.6
V=4×π×8.6/3
V=108/3
V=36in³
Therefore: radius= 2.05 inches
In a class of 30 children there are g,girls what fraction of the class are boys
Answer:
the fraction of the class that are boys is B/30, or b=30-g.
Both these answers work
Step-by-step explanation:
What is the value of x in the equation 8x – 2y = 48, when y = 4?.
Step-by-step explanation:
Substitute the value of y into the equation;
[tex]8x-2(4)=48[/tex]
Find the value of x.
Multiply;
[tex]8x-8=48[/tex]
Add 8 to each side;
[tex]8x=56[/tex]
Divide each side by 8;
[tex]x=7[/tex]
Answer:
x = 7
Step-by-step explanation:
Given:
y = 4Step-1: Substitute the y-variable in the equation (8x – 2y = 48)
⇒ 8x - 2y = 48⇒ 8x - 2(4) = 48Step-2: Simplify the L.H.S
⇒ 8x - 2(4) = 48⇒ 8x - 8 = 48Step-3: Add 8 both sides
⇒ 8x - 8 = 48⇒ 8x - 8 + 8 = 48 + 8⇒ 8x = 56Step-4: Divide 8 both sides
⇒ 8x = 56⇒ 8x/8 = 56/8⇒ x = 7A phone company offers two monthly plans. Plan A costs $20 plus an additional $0.11 for each minute of calls. Plan B costs $14 plus an additional $0.13 for each minute of calls.
For what amount of calling do the two plans cost the same? ____Answer
What is the cost when the two plans cost the same?
$_____answer
Answer:
a. 300 minutes.
b. $53
explanation:
make equations from given information.
consider each minute as "n"equation 1 from plan A :
20 + 0.11(n)
equation 2 from plan B :
14 + 0.13(n)
Solve them simultaneously,
14 + 0.13(n) = 20 + 0.11(n)
0.13(n) - 0.11(n) = 20 - 14
0.02(n) = 6
n = 300
insert n = 300 in any of the equation, to find cost.
14 + 0.13(n)
14 + 0.13(300)
$53
T h e g r a p h o f l i n e a r f u n c t i o n h i s s h o w n o n the g r i d .
G i v e n f( x ) = x a n d h b ( x ) = a f ( x ) , w h a t i s t h e v a l u e o f a ?
Answer: 0.8
Step-by-step explanation:
Factors of x2 + xy+ 8x + 8y
Answer:
(x + y)(x + 8)
Step-by-step explanation:
x² + xy + 8x + 8yx² + 8x + xy + 8y [∴Combining like terms]x(x + 8) + y(x + 8)(x + y)(x + 8)
Answer:
(x + y) (x + 8)
Step-by-step explanation:
[tex]x^2+xy+8x+8y[/tex]
[tex]=\left(x^2+xy\right)+\left(8x+8y\right)[/tex]
[tex]\mathrm{factor\;out\;x\;from\;x^2+xy}:x(x+y)[/tex]
[tex]\mathrm{factor\;out \;8\;from\;8x+8y}:8(x+y)[/tex]
[tex]=x\left(x+y\right)+8\left(x+y\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x+y[/tex]
[tex]=\left(x+y\right)\left(x+8\right)[/tex]
Answer = [tex]\left(x+y\right)\left(x+8\right)[/tex]
~Learn with Lenvy~
What are the values of w and x? NO LINKS
Step-by-step explanation:
Since angles opposite congruent sides in a triangle are congruent, w=67.
Now, since the sum of the measures of the interior angles of a triangle is 180 degrees, x=180-67-67=46
MULTIPLE CHOICE QUESTION
The REFLECTION of a point should ALWAYS be the SAME DISTANCE away from the opposite side of the line of reflection.
FALSE or TRUE?
Answer:
True
Step-by-step explanation:
A reflecrion always is the sam edustance because then it makes it look like they are reflecting each other.
Determine the translation that maps point C(7,5) to point C'(5,5).
Answer: Left 2
Step-by-step explanation:
Move 2 units back which is left
help please i don’t understand and this is do today :/!!
Answer:
A.15
Step-by-step explanation:
These two triangles are congruent triangles. This means that the side measurements can be found through a single multiplicative number.
All you have to do is divide 49 by 23 and get 2.130434783. You need that number to be specific
Next you want to multiply that number by the side length that corresponds to the length you are trying to find. In this case that is 7.
7 x 2.130434783=14.9
14.9 rounds to 15
Pls help me I will give 6000 points
Hey there!
4a + 3b + 2a
=> 4a + 3b + 2a
=> 4a + 2a - 3b
=> 6a - 3b
Therefore, 4a + 3b + 2a = 6a - 3b
[tex] \\\ \\ \\{x}^{2} + 2y + 8 {x}^{2} [/tex]
[tex]-› \:{x}^{2} + 8 {x}^{2} - 2y[/tex]
[tex]-› \: 9 {x}^{2} - 2y[/tex]
Therefore, [tex] {x}^{2} + 2y + 8 {x}^{2} [/tex] = [tex]\: 9 {x}^{2} - 2y[/tex]
In 5 days, Nicole ran a total of 10 miles. She ran the same amount each day. How much did she run each day?
Answer:
She ran 2 miles each day
Step-by-step explanation:
Sum of the angles of a polygon with 10 sides is -------
Answer:
1440°
Step-by-step explanation:
Each exterior angle of a 10 sided regular polygon =360/10=36°
Each interior angle = 180°-36° =144°.
Sum of all interior angles = 144°×10. = 1440°.
Which product of prime polynomials is equivalent to 3x4 – 81x? 3x(x – 3)(x2 – 3x – 9) 3x(x – 3)(x2 3x 9) 3x(x – 3)(x – 3)(x 3) 3x(x – 3)(x 3)(x 3)
The product of prime polynomials [tex]\rm 3x(x-3)(x^2+3x+9)[/tex] is equivalent to
[tex]\rm 3x^4-81x[/tex].
It is given that the polynomial [tex]\rm 3x^4-81x[/tex].
The product of prime polynomials is equivalent to the above polynomial.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have:
[tex]\rm 3x^4-81x\\\rm 3x(x^3-27)\\\rm 3x(x^3-3^3)\\\rm 3x(x-3)(x^2+3x+3^2) \\\\ We \ know \ that \ a^3-b^3=(a-b)(a^2+ab+b^2)\\3x(x-3)(x^2+3x+9)\\[/tex]
Thus the option [tex]\rm 3x(x-3)(x^2+3x+9)[/tex] is correct.
Learn more about Polynomial here:
https://brainly.com/question/17822016
Bridgette has 25 pairs of black socks, 15 pairs of white socks, and 20 pairs of colorful socks. What is the ratio of colorful socks to total socks?
help?!
could you please explain to?!
Answer:
Step-by-step explanation:
So the total # of socks is 25 + 15+ 20, which equals 60.
theres ONLY 20 socks that are colorful, meaning that 20/60 are coloful.
20/60 simplified is 2/6, simply that even further its 1/3, 1/3 is a ration within itself. itll be 1:3
Answer:
1:3 (20:60)
Step-by-step explanation:
So the ratio of colorful socks to total socks is 20:60
This is how:
First write the number of colorful socks which is 20.
From the calculate the total number of socks( 20 + 25 + 15 = 60) which is 60.
Then put a colon and write 60
You need to write the number of colorful socks because that is what was mentioned first then the total number of socks because it was mentioned after the number of colorful socks.
So you can reduce 20:60 to its lowest term.
You write 20: 60 as a fraction [tex]\frac{20}{60}[/tex]
Then reduce [tex]\frac{20}{60}[/tex] to its lowest term which is [tex]\frac{1}{3}[/tex].
Then write [tex]\frac{1}{3}[/tex] as a ratio which is 1:3
HOPE THIS HELPED
Eve needs 2/9 ounces of paint to make a flower. how much paint does she need for 3 flowers?
[tex]\begin{array}{ccll} paint&flowers\\ \cline{1-2} \frac{2}{9} & 1\\ x& 3 \end{array} \implies \cfrac{~~ \frac{2}{9}~~}{x}=\cfrac{1}{3}\implies \cfrac{2}{9x}=\cfrac{1}{3} \\\\\\ 6=9x\implies \cfrac{6}{9}=x\implies \cfrac{2}{3}=x[/tex]
i need help ASAP!!!!!!
Answer:
A)Deductive
B)Deductive
C)Inductive
D) Deductive
Step-by-step explanation: