Need help filling out the chart for #3

Complete question:

The number of concurrent users of a social networking site has increased dramatically since 2005. By 2014, this social networking site could connect concurrently 70 million users online. The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005, models this increase in millions of users. Estimate the number of users of this site that could be onlin concurrently in 2006, in 2010, and in 2013. Round to the nearest million users

Answer:

Kindly check explanation

Step-by-step explanation:

Given the function :

The function P(t) = 2.459(1.475)^t, where t is the numbe of years after 2005

Estimate the number of users of this site that could be online concurrently in:

2006:

t = (2006 - 2005) = 1

P(t) = 2.459(1.475)^t

P(1) = 2.459(1.475)^1

P = 2.459(1.475)

= 3.627025 = 4 million users (nearest million)

2010 :

t = (2010 - 2005) = 5

P(t) = 2.459(1.475)^t

P(5) = 2.459(1.475)^5

P = 2.459(6.981682607421875)

= 17.1679575 = 17 million users (nearest million)

2013:

t = (2013 - 2005) = 8

P(t) = 2.459(1.475)^t

P(8) = 2.459(1.475)^8

P = 2.459(22.404546753)

= 55.09278 = 55 million users (nearest million)

Answer:

3 or 2 is the answer to the question

Answer:

x=40°

Step-by-step explanation:

We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.

One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.

The sum of the measures of angles R, S, and T is 180°:

[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]

Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:

2x-10+x+2x-10 =180

Simplifying:

5x=180+20

Solving:

x=200/5

x=40°

Given:

The recipe calls for 0.5 quart of milk and 2.5 cups of flour.

She has [tex]\dfrac{3}{8}[/tex] quart of milk and [tex]\dfrac{18}{8}[/tex] cups of flour.

To find:

Whether she have the correct amount of milk and flour to make the pancakes from the recipe.

Solution:

Required Milk = 0.5 quart

Milk she has =  [tex]\dfrac{3}{8}=0.375[/tex] quarts

Clearly, 0.375 < 0.5.

Required Flour = 2.5 cups

Flour she has = [tex]\dfrac{18}{8}=2.25[/tex] cups

Clearly, 2.25 < 2.5

Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe

-1, it's fairly clear just from the table...

Answer:

-1

Step-by-step explanation:

• Height of the equilateral triangle = 5/3 cm .

• The area of the triangle .

• First find side :

As we know that:

• Height = √3/2 (side)

=> 5/3= √3/2 (side)

=> side = 10/3√3 cm

• Area of equilateral triangle = √3/4 (side)².

=> Area = √3/4(10/3√3)²

=> Area = √3/4(100/27)

=> Area = 25√3/27

=> Area = 43.30/27

=> Area = 1.60 cm².

Hence, the area of equilateral triangle is 1.60cm²

I hope it will help you.

Regards.

Answer:

0.00264

Step-by-step explanation:

(3.3x10^-4)x(8x10^0)

(3.3x1/100000)x(8x1)

0.00033x8

0.00264

hope this helps

brainliest?

Answer:

2.64 x 10⁻-3

0.00264

Answer:

integers

Step-by-step explanation:

Answer:

6.

Step-by-step explanation:

f(n)=3n²/2

f(2)=3(2²)/2

f(2)=3(4)/2

f(2)=12/2

f(2)=6

The second term of the sequence 3n²/2 is 6.

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given, The nth term of a sequence is 3n²/2.

Let f(n) = 3n²/2.

Now, to obtain the second term of the sequence can be obtained by replacing n with 2.

∴ f(2) = 3(2)²/2.

f(2) = (3×4)/2.

f(2) = 12/2.

f(2) = 6.

learn more about sequences here :

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Answer:

whats that

Step-by-step explanation:

Answer:

[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]

Step-by-step explanation:

If we have the standard form [tex]ax^2+bx+c[/tex], then we can use the quadratic formula:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

First, let's identify our coefficients. We have [tex]2x^2-10x+3[/tex].

This can be rewritten as [tex](2)x^2+(-10)x+(3)[/tex].

Therefore, a=2, b=-10, and c=3.

Substitute these values into the quadratic formula. This yields:

[tex]x=\frac{-(-10)\pm\sqrt{(-10)^2-4(2)(3)}}{2(2)}[/tex]

From here, simplify. Evaluate the expression under the square root:

[tex]x=\frac{10\pm\sqrt{100-24}}{4}[/tex]

Evaluate:

[tex]x=\frac{10\pm\sqrt{76}}{4}[/tex]

Note that:

[tex]\sqrt{76}=\sqrt{4\cdot 19}=\sqrt{4}\cdot\sqrt{19}=2\sqrt{19}[/tex]

Therefore:

[tex]x=\frac{10\pm2\sqrt{19}}{4}[/tex]

We can factor out a 2 from both the numerator and the denominator:

[tex]x=\frac{2(5\pm\sqrt{19})}{2(2)}[/tex]

Simplify:

[tex]x=\frac{5\pm\sqrt{19}}{2}[/tex]

Therefore, our roots are:

[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]

Answer:

11 am

Step-by-step explanation:

Bus A and Bus B leave the bus depot at 9 am.

Bus A takes 30 minutes to complete its route once

Bus B takes 40 minutes to complete its route once.

We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route

30 = 3 × 10

40 = 4 × 10

= 3 × 4 × 10

= 120 minutes

120 minutes after 9 am is

60 minutes = 1 hour

60 minutes = 1 hour

= 2 hours.

9am + 2 hours

= 11 am.

Therefore, they be back at the bus depot together at 11 am

Answer:

a=6

Step-by-step explanation:

5x+12=9x-12

5x+12-12=9x-12-12

5x=9x-24

5x-9x=9x-24-9x

-4x=-24

-24/-4

x=6

Answer: 12 + 5a = 9a + -12

Reorder the terms:

12 + 5a = -12 + 9a

Solving

12 + 5a = -12 + 9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-9a' to each side of the equation.

12 + 5a + -9a = -12 + 9a + -9a

Combine like terms: 5a + -9a = -4a

12 + -4a = -12 + 9a + -9a

Combine like terms: 9a + -9a = 0

12 + -4a = -12 + 0

12 + -4a = -12

Add '-12' to each side of the equation.

12 + -12 + -4a = -12 + -12

Combine like terms: 12 + -12 = 0

0 + -4a = -12 + -12

-4a = -12 + -12

Combine like terms: -12 + -12 = -24

-4a = -24

Divide each side by '-4'.

a = 6

Simplifying

a = 6

Step-by-step explanation: found it off of google

Answer:

(x-2)^2 x (x+2)^2

Step-by-step explanation:

Answer:

y o = 2 sin ( π/6 ) = 2 * 1/2 = 1

x o = π / 6

y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;

m = √3

An equation of the tangent line is:

y - y o = m ( x - x o )

Answer:

y - 1 = √3 ( x - π/6 )

Step-by-step explanation

please give me brainliest     hope it helps

Answer:

It would be around 5 cents an ounce

Step-by-step explanation:

0.04958333333 would be the answer but you have to round to the nearest cent so the correct and proper answer would be .05 cents per ounce

Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y ([tex]\frac{88}{100}[/tex])

∴ The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)

∴ The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

Answer:

C. 1.06(0.88y)

Step-by-step explanation:

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

33+57=90

180-90=90

Answer:

42

Step-by-step explanation:

5x5=40  ---->  40+2=42

Answer:

$63

Step-by-step explanation:

here,

principle=$450

rate=7%

time=2yrs

intrest=?

now,

as, we know,

intrest=(p×t×r)÷100%

intrest=($450×7×2%)÷100%

intrest=$6300÷100

therefore, intrest=$63#

Interest on given principal rate of interest and time is $63.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, principal =$450, rate of interest =7% and time period =2 years.

Now, simple interest = (450×7×2)/100

= 6300/100

= $63

Therefore, interest is $63.

To learn more about the simple interest visit:

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Answer:

Lol its 420

Step-by-step explanation:

Answer:

speed of boat is 35 mph

speed of river is 5mph.

Step-by-step explanation:

Let the speed of boat be u mph

let the speed of river be v mph

When boat travel downstream

in that case flow  of river will support the speed of boat hence

speed of river will be added to speed of boat

Thus,

speed of boat in downstream = speed of boat + speed of river = u + v

Given

the boat travels at 40 mph downstream

thus,

u + v = 40           -----1

When boat travel upstream

in that case flow  of river will oppose the speed of boat hence

speed of river will be subtracted from  speed of boat

Thus,

speed of boat in downstream = speed of boat -speed of river = u - v

Given

the boat travels at 30 mph upstream

thus,

u - v = 30  ----2

adding 1 + 2

we have

u + v = 40  

+ u - v = 30

2u = 70

u = 70/2 = 35

Thus,

speed of boat is 35 mph

using u = 35 in u + v = 40  

we have

35 + v = 40

v = 40 - 35 = 5

Thus, speed of river is 5mph.

See attachment for math work and answer.

Answer:

-4x^12y^11z^4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

if it was written in scientific notation, it would be 5*10^1

There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation

9514 1404 393

Answer:

  1. b

  2. For each 1000 miles driven, (a) saves 10.9 gallons, while (b) saves 19.8 gallons

Step-by-step explanation:

The fuel savings will depend on the miles driven. If we use 1000 miles as the reference, the various vehicle fuel usages are ...

  gallons = miles/(miles/gallon)

  18 mpg: 1000/18 = 55.6 gallons

  28 mpg: 1000/28 = 35.7 gallons

  34 mpg: 1000/34 = 29.4 gallons

  54 mpg: 1000/54 = 18.5 gallons

So, ...

  replacing 34 mpg with 54 mpg saves 29.4 -18.5 = 10.9 gallons.

  replacing 18 mpg with 28 mpg saves 55.6 -35.7 ≈ 19.8 gallons.

Replacing the SUV with a sedan saves more fuel, assuming all vehicles are driven the same distance.

__

The fuel use reduction from 18 mpg to 28 mpg is about 36%, whereas from 34 mpg to 54 mpg. the reduction is about 37%. The SUV replacement is a better choice because the smaller fraction of a much larger fuel use is still more savings than obtained by replacing the compact car.

Answer:

m<1 = 74

m<2 =  74

m<4 = 74

Step-by-step explanation:

Answer: 9 pizzas

Step-by-step explanation:

From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.

A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:

= 25 - (8 1/4 + 7 3/4)

= 25 - 16

= 9 pizzas