use distributive property to write an equivalent expression 3(2x+3y)

Using an exponential function, it is found that the video got 8,314 total views over the course of the first 12 days.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

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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Answer:

132 children and 88 adults

Step-by-step explanation:

let x represent the amount of kids and y represent the amount of adults.

since the problem says there was a total of 220 people at the fair an equation can be made

x+y=220

the problem tells that each childrens ticket was 1.5$ and each adult ticket was $4 and that a total of $550 was made that day, we can use the knowledge to make an equation:

1.5x + 4y = 550

using the equations we can make this systems of equations:

1.5x + 4y =550

x + y =220

solve the systems of equations by subracting y on both sides of th bottom equation:

x=220-y

since x is equivant to 220-y it can be substitued for x in the first equation to make this:

1.5(220-y)+4y =550

--solve for y--

y=88  - there were 88 adults

substute 88 for y in the second equation

x+88=220

--solve for x--

x=138 - there were 132 children

Answer:

0.523

Step-by-step explanation:

Let :

New car = N

Sunroof = S

P(N) = 0.86

P(N n S) = 0.45

Recall :

P(A|B) = p(AnB) / p(B)

Therefore ;

P(S|N) = P(SnN) / p(N)

P(S|N) = 0.45 / 0.86

P(S|N) = 0.523

Answer:

Irrational

Step-by-step explanation:

Answer: YES

Explanation: 3.65028 is a terminating decimal, or decimal that ends, and all terminating decimals are rational numbers.

Answer:

$5 ( sorry if it is incorrect)

Step-by-step explanation:

Answer:

third bubble, y = (1/3)^x

Step-by-step explanation:

Central Tendency is the statistical measure that can be used to represent all the distribution or a dataset using a single value. The most common measures of central tendency are the mode, median, and mean.

How to determine this

Mode is the value that has the highest frequency in a given data set.

So,

8.75 the highest frequency in the data set

Mode = 8.75

Median is the middle of a sorted list of numbers when arranged in ascending order.

So,

4.25, 5.75, 6.25, 6.75, 7, 7, 7.5, 8.5, 8.75 in ascending order

Median = 7

Mean is the average or the most common value in a given set of values.

Mean = 8.5 + 7 + 6.75 + 5.75 + 8.75 + 6.25 + 7 + 7.5 + 4.25/9

Mean = 61.75/9

Mean = 6.8611

Mean = 6.86 to 2 decimal place

Range is the difference between the highest value and lowest values.

Range = Maximum value - Minimum value

Range = 8.75 - 4.25

Range = 4.5

Read more about Central Tendency

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Answer:

try 7

Step-by-step explanation:

Answer:

p + 0.07p

Step-by-step explanation:

tax is a compulsory sum levied by the government on goods and services. taxes increases the price paid for products

If sales tax = 0.07p, total price paid increases by 0.07p

total price paid = price of the good + tax

total amount spent by Jonathan's mom = p + 0.07p

Answer:

D.

Step-by-step explanation:

Have a Nice Day

Answer:

it's D.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

37 degrees

Step-by-step explanation:

1. m∠CBA = 71+45 = 116 degrees

2. m∠CBA = m∠CDA because of the quadrilateral property of opposite sides.

3. m∠CBA + m∠CDA = 2*116 = 232.

4. Total angle measure of a quadrilateral is 360 degrees, so m∠BAD + m∠BCD = 360-232 = 128 degrees.

5. m∠BAD = m∠BCD = 128/2 = 64 degrees

6. m∠BAC = m∠BAD - m∠CAD = 64 - 27 = 37 degrees

Answer:

900

Step-by-step explanation:

The figure is a triangular prism

The equation would be V = A * H / 3

V being the volume

A being the area of the pyramids base

H being the height front he base to the top  (20)

Base area is 135 (A)

135 * 20 = 2700

2700 divided by 3 = 900

900 is your answer

Answer:

Probability is calculated as # of favorable outcomes / # of possible outcomes.

Our favorable outcomes are 1, 2, 3, 4, 5.

There are 6 total outcomes.

5/6 = 0.833

Answer:

.667

Step-by-step explanation:

There are 3 possibilities for an odd number. 1,3 and 5

For a number less than four, there are also 3 possibilities, 1,2 and 3 (Since it's not four or less)

Counting the uniquue numbers which are not repeated, you have 1,2,3,5 so the odds are 4/6 of rolling an odd or less than four number.

Since it's asking to round, I assume we need to convert to a decimal.

Decimal: .667

Percentage: 66.667%

Both answers are rounded to the thousandth.

Answer:

X=7 Y=5

Step-by-step explanation:

Answer:

33=k-15

Step-by-step explanation:

I hope this helps:)

Answer:

$3,840

Step-by-step explanation:

9600 x 0.08 =  768 per years (assuming flat rate)

768x5= 3,840

Answer:

3840

Step-by-step explanation:

9600 * 8% * 5 = 3840

Hope this helps!

Thenks and mark me brainliest :))

Answer:

numbers are fun

Step-by-step explanation: teacher

Answer:

Step-by-step explanation:

5^4 = 625. I hope your calculator will do this.

625 / 5 = 125

There is a more general way to do this which will be in harmony with the rest of the question.

5^4 / 5^1 = 5^(4 - 1) = 5^3 = 125

b^4 / b2 = b^(4 - 2) = b^2

a remains as it is at a^3

So the answer is 125 a^3 b^2

Answer:

18ft

Step-by-step explanation:

Formula of circumference * r x r x 3.14* or d x 3.14*

:DDD And ye glad I could help!

Answer:

yo w t f is thisssssss

Step-by-step explanation:

b  c  idek im so cluless rn im in 7th grade XD

Answer:

Los números son 81 y 243.

Step-by-step explanation:

Un sistema de ecuaciones lineales, también conocido como sistema lineal de ecuaciones o simplemente sistema lineal, es un conjunto de ecuaciones lineales que relacionan incógnitas entre sí.

Una solución de un sistema es una asignación de valores para las incógnitas que hace  verdadera cada una de las ecuaciones. Esto es, en los sistemas de ecuaciones, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.

En este caso las variables o incógnitas son los números "x" e "y".

Un tercio es la tercera parte de una cantidad y se calcula dividiendo por 3, mientras que un cuarto es la cuarta parte de una cantidad y se calcula dividiendo por 4.

Si un cuarto de la suma de dos números es 81 y un tercio de su diferencia es 54, el sistema de ecuaciones queda definido como:

[tex]\left \{ {{\frac{x+y}{4} =81} \atop {\frac{x-y}{3} =54}} \right.[/tex]

Resolviendo por el sistema de sustitución, en primer lugar se debe despejar o aislar una de las incógnitas de una de las ecuaciones. En este caso, aislando la incógnita "x" de la primer ecuación se obtiene:

x +y= 4*81

x= 324 - y

Sustituyendo la expresión obtenida en la segunda expresión:

[tex]\frac{324-y-y}{3} =54[/tex]

Resolviendo se obtiene:

324-y-y= 3*54

324 - 2*y= 162

-2*y= 162 - 324

-2*y= -162

y= (-162)÷ (-2)

y= 81

Reemplazando este valor obtenido en la expresión x= 324 - y se obtiene:

x= 324 - 81

x= 243

Los números son 81 y 243.

Answer:

[tex]x=\dfrac{2}{5}\times (2+3)-3[/tex]

Step-by-step explanation:

The given ratio is 2:3.

x₁ = -3, x₂ = 2

We need to find the x-coordinate of the point that will divide segment AB into a 2:3 ratio. The formula is as follows :

[tex]x=\dfrac{a}{a+b}(x_2-x_1)+x_1[/tex]

Put all the values,

[tex]x=\dfrac{2}{2+3}(2-(-3))+(-3)\\\\=\dfrac{2}{5}\times (2+3)-3[/tex]

Hence, the correct option is (d).

Answer: D

Step-by-step explanation:

I got it right on edge trust me :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-7b - 12 = -61}[/tex]

[tex]\large\textsf{ADD 12 to BOTH SIDES}[/tex]

[tex]\mathsf{-7b - 12 + 12 = -61 + 12}[/tex]

[tex]\large\textsf{CANCEL out: -12 + 12 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: -61 + 12 because it helps solve for your b-value}[/tex]

[tex]\mathsf{-61+12=\bf -49}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{-7b = -49}}[/tex]

[tex]\large\textsf{DIVIDE -7 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-7b}{-7}=\dfrac{-49}{-7}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{-7}{7}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{-49}{-7}}\large\textsf{ because that gives you your b-value}[/tex]

[tex]\mathsf{\dfrac{-49}{-7}= \bf b}[/tex]

[tex]\uparrow\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}\uparrow[/tex]

[tex]\mathsf{-49\div -7= \bf 7}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf b = 7}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

57/100

Step-by-step explanation:

look it up

Answer:

use formula,

P(x,y)=P'(-y,x)

so.

R(-2,-2)=R'=(2,-2)

S(1,1)=S'(-1,1)

T(-1,-3)=T'(3,-1)

Step-by-step explanation:

plot R,S,T and R',S',T' in the graph

question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

Answer:

74

Step-by-step explanation:

its easy

Answer:

A chemical reaction happens when substances break apart or combine to form one or more new substances.

Step-by-step explanation:

New substances form when bonds break and new bonds form. The chemical properties of the new substances are different from those of the original substances