Two people become infected with a virus that spreads quickly. Each day that passes, the number of infected people triples. How can the number of infected people be determined from the number of days that have passed?


Answers

Answer 1

Answer:
Raise 3 to the number of days and then multiply this value by 2.

Step-by-step explanation:

TTM/Imagine Math.

Answer 2

The correct answer is:

C. Raise the number of days to the third power and then multiply this value by 2.

Sure, here's a step-by-step solution:

1. Initial Number of Infected People: Start with the initial number of infected people, which is 2 in this case.

2. Exponential Growth Model: Use the exponential growth model to represent the increase in the number of infected people each day. The model is given by the formula [tex]\(I = a \cdot 3^D\)[/tex], where:

  - [tex]\(I\)[/tex] is the number of infected people,

  - [tex]\(a\)[/tex] is the initial number of infected people (which is 2),

  - [tex]\(3\)[/tex] represents the tripling effect each day, and

  - [tex]\(D\)[/tex] is the number of days that have passed.

3. Raise 3 to the Power of Number of Days: Raise 3 to the power of the number of days that have passed. This accounts for the tripling effect each day.

4. Multiply by Initial Number of Infected People: Multiply the result from step 3 by the initial number of infected people (which is 2). This gives the total number of infected people after the given number of days.

So, to determine the number of infected people from the number of days that have passed, raise 3 to the power of the number of days and then multiply this value by 2. Therefore, option C is the correct answer.

The correct question is:

Two people become infected with a virus that spreads quickly. Each day that passes, the number of infected people triples. How can the number of infected people be determined from the number of days that have passed?

A. Raise 3 to the number of days and then multiply this value by 2 .

B. Add the number of days to 2 and then multiply this sum by 3.

C. Raise the number of days to the third power and then multiply this value by 2 .

D. Multiply the number of days by 3 and then add 2 to this product.


Related Questions

Work out the area of a semicircle with radius 3cm. give your answer in terms of 3.142

Answers

1.5 • 3.142= 4.713 should be the answer

Answer:   4.5π  ≈  14.14 cm²

Step-by-step explanation:

[tex]Area_{\ circle}=\pi \cdot r^2\\\\Area_{\ semicircle}=Area_{\ circle}\div 2\\\\\\A=\dfrac{\pi \cdot 3^2}{2}\\\\\\.\quad =\dfrac{9}{2}\pi\\\\\\.\quad =4.5\pi\\\\\\.\quad =14.14[/tex]

What is the measure of each interior angle in heptagon ABCDEFG

Answers

Answer:

Step-by-step explanation:

First att all, let's take angle B... It's bigger than 180° and smaller than 360. Then: 180 < 6x < 360. So 6x = 288°. The only alternative what's correct is the first one.

I hope I helped you

a rectangular picture frames sides have a length-to-width ratio of 8:5. what is the length of a similar picture frame if its width is 35 inches?
a- 56 in
b- 40 in
c- 35 in
d- 21.8 in

Answers

Answer:

56 in.

Step-by-step explanation:

By proportion  8/5 = L/35  where L is the length of the picture.

5L = 8*35

L = 8*35/5

L = 56 in.

The length of a similar picture frame is Option (a) 56 in.

Concept of ratio -

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A ratio indicates how many times one number contains another. It is expressed as a:b where a and b are parameters for any given set of relation.

How to find the length of a given parameter in the question from the concept of ratio ?

Given length to width ratio is 8:5.

We have to find the length of similar picture frame which has a width of 35 inches.

Let length of the picture frame be L inches.

Using ratio equation for solving, we have

   8:5 = L:35

⇒ 8/5 = L/35

∴  L = (8/5) * 35 = 56 inches.

Therefore the length of a similar picture frame is Option (a) 56 in.

To learn more about concepts of ratio, refer -

https://brainly.com/question/3597343

#SPJ2

FIND Y OF THIS CIRCLE.

Answers

Answer:

  y = 116

Step-by-step explanation:

The central angle is double any inscribed angle that intercepts the same arc.

Inscribed angle HGF intercepts arc HF, so central angle HOF will be double the value of HGF.

  2×58° = 116° = y°

  y = 116

Yesterday, Carmen went on a bike ride. Her average speed was 8
miles per hour. Today, she went on another ride, this time averaging 13
miles per hour. In the two days, she biked for a combined total time of 9
hours.
Let x
be the number of hours she biked yesterday. Write an expression for the combined total number of miles she biked in the two days.

Answers

Answer:

Step-by-step explanation:

Yesterday, her rate was 8mph, her time was x hours.

Today, her rate was 13mph, her time was 13 - x hours.

So the total distance she biked on the two days is

d = 8x + 13(13 - x), or 169 - 5x

Answer:

[tex]8x+13(9-x)[/tex] or [tex]-5x+117[/tex] miles.

Step-by-step explanation:

Let x represent number of hours Carmen biked yesterday.

[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

We have been given that yesterday Carmen's average speed was 8

miles per hour. So distance covered in x hours would be [tex]8x[/tex].

We are also told that Carmen biked for a combined total time of 9

hours. So the number of hours biked second day would be [tex]9-x[/tex]. The distance covered in [tex]9-x[/tex] at a speed of 13  miles per hour would be [tex]13(9-x)[/tex].

Total distance covered by Carmen would be: [tex]8x+13(9-x)[/tex]

[tex]8x+117-13x[/tex]

[tex]8x-13x+117[/tex]

[tex]-5x+117[/tex]

Therefore, the total distance covered by Carmen in the two days would be [tex]-5x+117[/tex] miles.

If 9 out of 10 doctors in a small city recommend afternoon naps, and there are 8 doctors in the city who don’t recommend naps, how many doctors in the city do recommend afternoon naps?

Answers

Answer:

  72

Step-by-step explanation:

1 out of 10 do not recommend naps, so 9 times as many do recommend naps.

  9 × (8 doctors) = 72 doctors . . . . . recommend naps

3 quarters of the batch of 20 cookies burned when you forgot to take them out of the oven how many cookies burned

Answers

Answer:

15  cookies

Step-by-step explanation:

We have 20 cookies and we know that three quarters of them were burned. To find the number of cookies burned, divide the 20 cookies into 4 equal parts.

This will give you 4 parts of 5 cookies.

[5] + [5] + [5] + [5]

Then they tell us that 3 quarters were burned. This means that of these 4 parts [5] + [5] + [5] + [5], 3 were burned. Then take 3 of these parts and add them.

[5] + [5] + [5] = 15 cookies.

This is the same as multiplying:

[tex]20 * \frac{3}{4} = 15[/tex]

Solve the equation, if possible.

Answers

Answer:

no solution

Step-by-step explanation:

Given

- 3 | 6n - 2 | + 5 = 8 ( subtract 5 from both sides )

- 3 | 6n - 2 | = 3 ( divide both sides by - 3 )

| 6n - 2 | = - 1

The absolute value always returns a positive value and so

| 6n - 2 | ≠ - 1

Hence there is no solution to the equation

A wall clock has a circumference of 43.96 inches. What is the area of the clock?

Answers

find the radius:

r = C/2pi

r= about 7 (6.99645)

find the area:

A = pi(r)^2

A = about 153.78194 inches^2

Answer: The area of the circle in inches is A= 153.64 inches²

Step-by-step explanation:

This problem bothers on the calculations on shapes

In this Case a circle

The circumference of a circle is given by

C=2πr

Given that C =43.96 inches

We need to solve for the radius, because we also need the radius to solve for the area

43.96= 2*3.142*r

43.96=6.284r

r= 43.96/6.284

r=6.99 inches

Now back to the area of a circle which is given by

A=πr²

Substituting our value for Pi we have

A= 3.142*6.99²

A=3.142*48.89

A= 153.64 inches²

PLEASE HELP! Find an equation of the line whose intercepts are twice those of the graph of 5y+2x=10.

Answers

5y+2x=10y=−25x+2246810−2−4−6−8−10246810−2−4−6−8−10Let's solve for x.5y+2x=10Step 1: Add -5y to both sides.2x+5y+−5y=10+−5y2x=−5y+10Step 2: Divide both sides by 2.2x2=−5y+102x=−52y+5Answer:x=−52y+5

Do make the intercepts twice as big, you simple divide the function by 2, but leave it =10.

The function 5y+2x=10 has intercepts (0,2) and (5,0)

Therefore by dividing by 2 we get 2.5y+x=10 which is your answer. It has intercepts (0,4) and (10,0)

Determine the slope of the line that has the following coordinates: (0, 2) (4,3)

Answers

Slope = (y2-y1)/(x2-x1)

Slope = (3-2)/(4-0)

Slope = 1/4

Answer:

[tex]\large\boxed{the\ slope=\dfrac{1}{4}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have (0, 2) and (4, 3). Substitute:

[tex]m=\dfrac{3-2}{4-0}=\dfrac{1}{4}[/tex]

How many equations in the same variables must be in a set to solve a system of linear equations?

Answers

Answer:

For a unique solution, there must be as many consistent, independent equations as there are variables.

Step-by-step explanation:

Each equation lets you write an expression for one variable in terms of the others in that equation. That expression can be substituted throughout the system, reducing the number of equations and variables by one each.

After n-1 such substitutions in a system of n equations, there will be one equation left. If that is an equation in one variable, then the solution to the system can be easily found. If more than one variable remains (> n variables in n equations), then the system cannot be solved for definitive values of each of the variables.

___

If the equations are inconsistent, there is no solution. If the equations are dependent, then there is no unique solution.

To solve a system of linear equations, one generally requires the same number of equations as there are variables for a unique solution, otherwise the system may have either an infinite number of solutions or none.

To solve a system of linear equations, you generally need as many equations as there are variables. If you have two variables, you should have two linear equations to find a unique solution. For example, the equations 3x - 2y = 24 and 3x + 9y = 30 form a system that can be solved because there are two equations with two variables (x and y).

If there are more variables than equations, then you may either have infinitely many solutions or no solution, depending on the equations' consistency. If you have fewer equations than variables, as in the case of three variables with only two equations, you typically have an undetermined system where you can choose one variable as a parameter and express the others in terms of it, leading to an infinite number of solutions.

For homogeneous equations where the vector b is zero (Ax = 0), the solutions form a subspace of the vector space, and nontrivial solutions exist if the system is not of full rank.

Convert the angle 0=14pi/9 radians to degree

Answers

Answer:

280 degrees.

Step-by-step explanation:

To convert radians to degrees we multiply by 180/pi:

angle O = 14pi/ 9 * 180 / pi

=  14*180 / 9

=  280 degrees.

Final answer:

The angle 0=14pi/9 radians can be converted to degrees by using the conversion factor 1 radian = 57.3°. Multiplying the given angle in radians by the conversion factor results in an equivalent angle of 280° in degrees.

Explanation:

To convert the angle from radians to degrees, we use the conversion factor 1 rad = 57.3°. The problem provides the angle 0 = 14pi/9 radians. By using the conversion factor, the process of conversion would be as follows:

Multiply the value in radians by the conversion factor. So, 0 in degrees = 14pi/9 * 180°/pi = 280°

Therefore, the angle 0=14pi/9 radians is equal to 280° in degrees.

Learn more about Radians to Degrees Conversion here:

https://brainly.com/question/32641146

#SPJ3

An online music club has a one-time registration fee of $20 and charges $0.50 for each song download. If Ella has $50.00 to join the club and buy songs, which inequality gives the maximum number of songs, s, she can buy?

Answers

Answer:

D.

Step-by-step explanation:

50-20=30 (because of the initial cost)

Then multiply 30*0.5=60

so she can buy less than or equal to 60

Answer:

D. S ≤ 60

Step-by-step explanation:

Ella has $50.00 and the registration fee is $20. This means that she would have $30.00 to buy songs and each song costs $0.50, so:

$30.00/$0.50= 60

The number of songs that she would be able to buy is 60.

According to this, the inequality that gives the maximum number of songs that she can buy is S ≤ 60 as it indicates that the maximum number of songs (s) that she can buy is less than or equal to 60.

The sea turtle habitat at the zoo is made by connecting two large aquariums. The first aquarium is 6 m6\text { m}6 m6, space, m long, 4 m4\text { m}4 m4, space, m wide, and 2 m2\text { m}2 m2, space, m high. The second aquarium is 8 m8\text { m}8 m8, space, m long, 9 m9\text { m}9 m9, space, m wide, and 3 m3\text { m}3 m3, space, m high.

Answers

Answer:

264 cubic meters

Step-by-step explanation:

The sea turtle habitat at the zoo has a total volume of 264 cubic meters.

To find the total volume of the sea turtle habitat, which consists of two connected aquariums, you can calculate the volume of each aquarium separately and then add them together.

For the first aquarium:

- Length = 6 meters

- Width = 4 meters

- Height = 2 meters

The volume of the first aquarium is calculated as:

Volume_1 = Length * Width * Height

Volume_1 = 6 m * 4 m * 2 m

Volume_1 = 48 cubic meters

For the second aquarium:

- Length = 8 meters

- Width = 9 meters

- Height = 3 meters

The volume of the second aquarium is calculated as:

Volume_2 = Length * Width * Height

Volume_2 = 8 m * 9 m * 3 m

Volume_2 = 216 cubic meters

Now, to find the total volume of the sea turtle habitat, you add the volumes of the two aquariums together:

Total Volume = Volume_1 + Volume_2

Total Volume = 48 cubic meters + 216 cubic meters

Total Volume = 264 cubic meters

So, the total volume of the sea turtle habitat at the zoo is indeed 264 cubic meters, as provided.

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ2

25 points!! Probability question.

This is from Math-a-thon, pls solve this problem to help me help children with cancer...


Destructimous has 7 sonic blasts and 13 heat rays. It also has a 2/7 chance of using its ultra power blast. Luckily, Octagon’s sheild reflected that blast and stopped all the robots. How many ultra power bots did Destructimous have? Pls show/ explain your work. (i know the answer i just dont know how to find it).

Answers

Destructimous had 6 ultra power blasts.

The total number of blasts Destructimous has is:

Total blasts = Sonic blasts + Heat rays

Total blasts = 7 + 13

Total blasts = 20

Now, we know that Destructimous has a 2/7 chance of using its ultra power blast. To find out how many ultra power blasts it fires, we calculate 2/7 of the total blasts:

Ultra power blasts = (2/7) * Total blasts

Ultra power blasts = (2/7) * 20

Ultra power blasts = 40/7

Now, since we can't have a fraction of a blast, we need to round this number to the nearest whole number. In this case, 40/7 is approximately 5.71, so when rounded, it's 6.

So, Destructimous had 6 ultra power blasts.

-------------------------------------

The ratio of a model car to a regular car is 1:16. The model is 6.25 inches long. What is the length of the actual car in feet and inches?

Answers

What is the length of the actual car in feet and inches? 4/5 ft 48/72in

When you divide two fractions, is the quotient always smaller than the dividend?

Answers

It’s a if the quotation is bigger than the dividend the answer is just a mixed number

^^ yeah what they said

if the probability of p(m and n) =0.2 p(m)=0.4 and m and independent events, what is p(n)?

Answers

Answer:

P(n) = 0.5

Step-by-step explanation:

For two events which are independent, we use the multiplication rule which states P (A and B) = P(A) * P(B). Substitute P(m) = 0.4 and P(m and n) = 0.2 into this formula.

P (m and n) = P(m) * P(n)

0.2 = 0.4*P(n)

Divide by 0.4 on both sides.

0.2 / 0.4 = P(n)

0.5 = P(n)

There are 21 luxury vehicles in 3 shipments sent to a dealership . Which of the following expresses the ratio of shipments to luxury vehicles?

A. 21/3

B. 21 to 3

C. 21:3

D. 3:21

Answers

Answer:

There are 21 luxury vehicles in 3 shipments sent to a dealership . Which of the following expresses the ratio of shipments to luxury vehicles?

A. 21/3

B. 21 to 3

C. 21:3

D. 3:21

Step-by-step explanation:

Answer:

The answer is D. 3:21 Hope this helps!

A Ferris wheel has a radius of 30 feet. Two particular cars are located such that the central angle between them is 140°. To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel?

Answers

Answer:

230.4

feet

Explanation:

arc length  

=

circumference  

×

fraction of circle

×

×

×

×

=

2

π

r

×

165

360

×

×

×

×

=

2

×

π

×

80

×

165

360

×

×

×

×

=

230.4

feet to nearest tenth

Step-by-step explanation:

The length of the intercepted arc between those two cars on the Ferris wheel is 73.3 ft

Since the distance between the two cars is the length of an arc, we need to know what the length of an arc is.

What is the length of an arc?

The length of an arc is given by L = Ф/360 × 2πr where

Ф = angle of arc and r = radius of circle

Given that for the ferris wheel

Ф = 140° and r = 30 ft

Substituting the values of the variables into the equation, we have

L = Ф/360 × 2πr

L = 140°/360 × 2π × 30 ft

L = 14/36 × 60π ft

L = 14/3 × 5π ft

L = 70π/3 ft

L = 219.91 ft/3

L = 73.3 ft

So, length of the intercepted arc between those two cars on the Ferris wheel is 73.3 ft

Learn more about length of an arc here:

https://brainly.com/question/8402454

#SPJ2

Compute all values of x such that x-1 is the reciprocal of x+1. Express your answer in simplified radical form.

Answers

Answer:

x = ±√2

Step-by-step explanation:

         x - 1 =     1/(x + 1)

(x -1)(x + 1) =     1     Multiplied each side by x + 1

       x² - 1 =     1     Difference of two squares

           x² =     2     Add 1 to each side

           x  = ±√2

x-1 is the reciprocal of x+1 when x = -√2 or x = √2.

Check:

(a) x = -√2

  -√2 - 1 = 1/(-√2 + 1)

-(√2 + 1) = (√2 +1)/[(-√2 +1)(√2 + 1)]

-(√2 + 1) = (√2 +1)/(-2 +1)

-(√2 + 1) = (√2 +1)/(-1)

-(√2 + 1) = -(√2 +1)

(b) x = √2

√2 - 1 = 1/(√2 + 1

√2 - 1 = (√2 - 1)/[(√2 + 1)(√2 - 1) ]

√2 - 1 = (√2 - 1)/(2 - 1)

√2 - 1 = (√2 - 1)/1

√2 - 1 = √2 - 1

OK.

Answer:x = ±√2

Step-by-step explanation: this is because reciprocal means the numerator and denominator switches

So the equation is x-1=1/(x+1)

And you solve for it thats how u get the answer

Experimenting, you have found that 12 ounces of 180°F coffee in your favorite cup will take 20 minutes to cool to a drinking temperature of 110°F in a 70°F room. Assume that when you add cream to the coffee, the two liquids are mixed instantly, and the temperature of the mixture instantly becomes the weighted average of the temperature of the coffee and of the cream (weighted by the number of ounces of each fluid). Also assume that the cooling constant of the liquid (the constant k in the equations on p. 237 in section 3.8 for Newton's Law of Cooling) does not change when you add the cream. (a) If you add 2 ounces of 40°F cream to the 180°F coffee in the cup, how long will it take for the mixture to reach drinking temperature? Give your answer (in minutes) in decimal form with at least 3 decimal digits (for example, 12.345 minutes).

Answers

Answer:

16.033 min

Step-by-step explanation:

We can write Newton's Law of Cooling as

T = Tₐ + (T₀ - Tₐ)e^(-kt), where

Tₐ = ambient temperature of the surroundings

T₀ = initial temperature of the object

k = the cooling constant

t = the time

(1) Calculate the cooling constant

Data:

T =   110 °F

T₀ = 180 °F

Tₐ =  70 °F

 t =   20 min

Calculation:

110 = 70 + (180 - 70)e^(-k×20)

40 = 110e^(-20k)

0.363 64 = e^(-20k)

-1.0116 = -20k

k = 0.050 580 min⁻¹

(2)After adding cream

(a) Calculate T₀  

2 oz × 40 °F + 12 oz × 180 °F = 14 oz × T₀

80 °F + 2160°F = 14T₀

2240 °F = 14T₀

T₀ = 160 °F

(b) Calculate the time to cool to drinking temperature

110 = 70 + (160 - 70)e^(-0.050 580t)

40 = 90e^(-0.050 580t)

0.444 44 = e^(-0.050 580t)

-0.810 93 = -0.050580t

t = 16.033 min

It will take 16.033 min for the mixture to reach drinking temperature

Final answer:

To determine the time it takes for the mixture to reach drinking temperature, we first calculate the initial temperature of the mixture after adding 2 ounces of 40°F cream to the 180°F coffee, which turns out to be 165°F. Then, according to Newton's Law of Cooling, the time it takes for the mixture to decrease from 165°F to the drinking temperature of 110°F would be the same as the time it took for the original coffee to cool from 235°F to 180°F, given the cooling constant doesn't change when we add the cream. Therefore, the mixture will take approximately 20 minutes to reach drinking temperature.

Explanation:

To determine the time it takes for the mixture to reach drinking temperature, we first need to calculate the initial temperature of the mixture. When you add 2 ounces of 40°F cream to the 180°F coffee, the temperature of the mixture instantly becomes the weighted average of the temperature of the coffee and of the cream. Thus, we have:

(12 * 180 + 2 * 40) / (12 + 2) = 165°F.

Now we need to calculate the time it takes for the mixture to decrease from 165°F to the drinking temperature of 110°F. According to Newton's Law of Cooling, the rate of change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature. If we assume that the proportionality constant (or the cooling constant) doesn't change when we add the cream, then the time it takes for the mixture to cool from 165°F to 110°F will be the same as the time it took for the original coffee to cool from 235°F (165 + 70) to 180°F (110 + 70), which is 20 minutes. We can conclude that the mixture will take approximately 20 minutes to reach drinking temperature.

Learn more about Newton's Law of Cooling here:

https://brainly.com/question/33399430

#SPJ3

Living with parents: The Pew Research Center reported that 36% of American Millennials (adults ages 18–31) still live at home with their parents. A group of students wants to conduct a study to determine whether this result is true for students at their campus. They survey 300 randomly selected students at their campus and determine that 43% of them live at home with their parents. With this data, they test the following hypotheses. H0: Of Millennial students at their campus, 36% live at home with their parents. Ha: More than 36% of Millennial students at their campus live at home with their parents. In order to assess the evidence, which question best describes what we need to determine? If we examine a sample of students at their campus and determine the proportion who still live at home with their parents, how likely is that proportion to be 36%? If we examine a sample of students at their campus and determine the proportion who still live at home with their parents, how likely is that proportion to be 43% or more? If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be 36%? If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be more than 36%? If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be 43%?

Answers

Final answer:

To assess the evidence of Hypothesis testing, the students need to determine the likelihood of the proportion of Millennial students at their campus that live at home with their parents being 36% or higher.

Explanation:

The question here is regarding the testing of a population proportion using statistical hypothesis testing, specifically a one-sample z-test. The null hypothesis (H0) is that the population proportion is equal to a specified value, in this case, 36%). The alternative hypothesis (Ha) is that the population proportion is greater than the specified value (more than 36%).

The question we need to answer is 'If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be more than 36%?'

The scenario suggests an indication towards a right-tailed z-test as we're looking to see if the data indicates a proportion >36%. However, as with all statistical tests, one should be cautious about drawing definitive conclusions without additional context and understanding the potential for sampling variability and error.

Learn more about Hypothesis testing here:

https://brainly.com/question/34171008

#SPJ12

How do you write an equation for.... what number a is 25% of 64? An equation is =0.25?

Answers

What number (a) is (=) 25% (0.25) of (x)
a=0.25•64
a=16

x^2-18x+67=0
form:
(x+?)^2 = ?
(x-?)^2 = ?

Answers

Answer: form by math and can multiply two numbers or divide your choice

Step-by-step explanation:

How many terms are in the following sequence?
14348907, ..., 9, 3, 1

17

15

16

18

Answers

Answer:

There are 16 terms in the sequence.

Step-by-step explanation:

The given sequence is

14348907, ..., 9, 3, 1

The first term of the sequence is

[tex]a_1=14348907[/tex]

The last term of the sequence is [tex]l=1[/tex]

The common ratio is [tex]r=\frac{1}{3}[/tex]

The nth term of this sequence is;

[tex]a_n=a_1(r)^{n-1}[/tex]

We plug in the common ratio and the first term to get;

[tex]a_n=14348907(\frac{1}{3})^{n-1}[/tex]

The find the number of terms in the sequence , we plug in the last term of the sequence.

This implies that;

[tex]1=14348907(\frac{1}{3})^{n-1}[/tex]

[tex]\frac{1}{14348907}=(\frac{1}{3})^{n-1}[/tex]

[tex]\Rightarrow 3^{-15}=3^{-(n-1)}[/tex]

Since the bases are the same, we equate the exponents;

[tex]-15=-(n-1)[/tex]

[tex]15=n-1[/tex]

[tex]15+1=n[/tex]

[tex]n=16[/tex]

2/3x - 2 = 7 need help please I aint that good at math

Answers

Answer:

[tex]\large\boxed{x=\dfrac{27}{2}\to x=13\dfrac{1}{2}\to x=13.5}[/tex]

Step-by-step explanation:

[tex]\dfrac{2}{3}x-2=7\qquad\text{add 2 to both sides}\\\\\dfrac{2}{3}x-2+2=7+2\\\\\dfrac{2}{3}x=9\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x=3\cdot9\\\\2x=27\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{27}{2}\\\\x=\dfrac{27}{2}\to x=13\dfrac{1}{2}\to x=13.5[/tex]

Use the stem-and-leaf plot below to match the terms with the correct value. Round to the nearest whole number.

Mean
Median
Mode

Answers

Answer:

The mean is 5

the median is also 5

and the mode is 1

Step-by-step explanation:

Answer:60,61,73,75,79,81,81,81,92,96,98

Step-by-step explanation: Mean:80

                                             Median:81

                                            Mode:81

Justin had to pay 4.5% simple interest on the $5000 loan for five years at the end of the five years, how much did Justin have to pay?

Answers

I am thinking the answer is 225. Sorry if I'm wrong!

Other Questions
Identify which shapes are similar to shape A and which are not.PLEASE HELP ME!!! what did Andrew Jackson promise as president 4Although the race is different in some ways, the Tour de France still includes many important traditions. One of these traditions is the awarding of colored jerseys to certain riders to set them apart from others. A white jersey is presented to the best young rider under the age of 25. A jersey with polka dots is given to the leader in the king of mountains classification. A green jersey is given to the rider who leads in the number of points. The most well-known and coveted jersey is the yellow jersey, or the mallot jaune as it is called in French. This jersey designates the leader of the race (Lake 99102). 24) Based on the context, the word designates in paragraph 4 meansA)"gives special powers to."B)"makes a target of."C)"awards honors to."D)"sets apart" A set of numbers is shown below:{0, 0.8, 1, 3, 6}Which of the following shows all the numbers from the set that make the inequality 7x + 1 8 true? {1, 3, 6} {3, 6} {0, 0.8, 1} {0, 0.8} Identify the domain and range of the following graph. 15 POINTS HELPA woodland jumping mouse hops along the ground along a parabolic path that can be modeled by the following equation: y = 0.2x2+1.3x (where x is the horizontal position in feet and y is the height in feet). What is the maximum height the mouse can jump? 53.4*16.2 please please Who was the first American American mayor of a major south city and was mayor of Atlanta Which of the following is NOT a true statement about the taking of Mexico City during the war with Mexico?A.General Winfield Scott led the march on Mexico City.B.General Winfield Scott's plan started with an amphibious assault on the port city of Veracruz.C.General Winfield Scott's plans were thrown together hastily.D.General Winfield Scott and his army traveled along the Mexican National Highway Why higher voltage means thinner cables and why it is then cheaper? All of the following characteristics are used to classify living organisms EXCEPT What is the product of 4xy and y2 + 2x? PLEASE HELP ME!!!!!!!!!!! A 1000-kg car is slowly picking up speed as it goes around a horizontal curve whose radius is 100 m. The coefficient of static friction between the tires and the road is 0.350. At what speed will the car begin to skid sideways? A women homozygous for blood type B marries a man that is heterozygous for blood type A. State the possible phenotypic ratio of the offspring? What is the artisan paradise route ? Hannah was embarrassed when her friends teased her about dancing on a table on Friday night. She tried to tell her friends that she really is quite introverted and shy. Her friends observed that Hannah does not appear shy when she is out on a weekend evening. Which of the following statements is most applicable in understand Hannah's personality? Hannah's personality is a unique psychological makeup that consistently influences behavior within a certain environmental situation. Although behavior will be consistent within consistent environments, it does not have to be consistent between environments. Personality is a hypothetical construct that grows stronger with age. Hannah will likely be extroverted for the rest of her life. Personality is a set of consistent traits that do not change from one environment to the next. Either Hannah or her friends are wrong in their observations. Hannah's behavior on a weekend night is due to Freudian problems with her superego. how many moles of oxygen has will occupy a volume of 300ml at 2.7 atm and 40 degrees celsius Hector made a batch of pancakes for his guests Evaluate the impact of World War II on Georgias economy. Provide at least three specific examples of how the war impacted Georgias economy to support your claim. Steam Workshop Downloader