Need help what’s the solution for b^2-14b=0

Answer:

The expression is:  [tex]p(x) = 17500*(1.03)^x[/tex]

Step-by-step explanation:

Since we're starting our count in 2005, then let's call that year 0 and every year after that will be 2005 + x, where t grows from 0 as an integer.

In 2005 the population is:

[tex]p(0) = 17500[/tex]

In 2006 the population is:

[tex]p(1) = 17500*(1 + \frac{3}{100}) = 17500*(1.03)[/tex]

In 2007 the population is:

[tex]p(2) = p(1)*(1.03) = 17500*(1.03)*(1.03) = 17500*(1.03)^2[/tex]

In 2008 the population is:

[tex]p(3) = p(2)*(1.03) = 17500*(1.03)^2*(1.03) = 17500*(1.03)^3[/tex]

We can notice a pattern that the population pf the city is equal to the number of the starting population multiplied by the rate of change powered by the number of years after 2005. Therefore a generic expression for the population of that town can be written as:

[tex]p(x) = 17500*(1.03)^x[/tex]

Answer:

This situation represents exponential growth

The rate of growth or decay, r, is equal to 0.10

So each year the number of residents in the town is 1.10 times the number in the previous year.

There were around 14,641 residents in the town 4 years after 2005.

Step-by-step explanation:

Since the number of residents increases by a constant percentage each year, this situation represents exponential growth.

The number of residents increases by 10% per year. So the rate of growth, r, is 10%, or 0.1.

Use the equation  to find b, the growth factor by which the population increases each year.

So the population increases by a factor of 1.1 each year. This growth factor means that the number of residents in the town in any year is 1.1 times the number in the previous year.

Write the exponential expression to model the town’s growth by substituting 10,000 for A and 1.1 for b in the general form of the exponential expression.

Set this expression equal to 14,641, and isolate the exponential term.

Use a table of values to rewrite 1.4641 as a value with a base of 1.1.

So there were around 14,641 residents in the town 4 years after 2005.

Answer:

The first sequence has a common ratio of 2 while the second sequence has a common ratio of 4.

Step-by-step explanation:

Given the two sequences

[tex]\text{First Sequence:} \dfrac14, \dfrac12,$1, 2\\Second Sequence:\dfrac12$ , 2, 8, 32[/tex]

By observation:

In the first sequence:

[tex]\dfrac14 \times 2 = \dfrac12\\\dfrac12 \times 2 =1\\1 \times 2=2\\[/tex]

In the second sequence

[tex]\dfrac12 \times 4 =2\\ 2 \times 4=8\\8 \times 4=32[/tex]

We can see that both sequences are geometric sequences.

However, the first sequence has a common ratio of 2 while the second sequence has a common ratio of 4.

Answer:

Depends?

Step-by-step explanation:

She lives 8.9 miles away from her friend if she were to go at a diagonal (the fastest way to her house). If her cell service can go farther than that, then she will have service and vice versa

Answer:

A.

Step-by-step explanation:

Just did the quiz

Answer:

5.5, 9.5

Step-by-step explanation:

Let x and y be the numbers

x+y = 15

x-y = 4

Add the two equations together to eliminate y

x+y = 15

x-y = 4

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

2x = 19

Divide by 2

2x/2 =19/2

x = 9.5

Now find y

x+y = 15

9.5+y = 15

Subtract 9.5

x = 15-9.5

x =5.5

Answer:

11/2 and 19/2

Step-by-step explanation:

We have to make a system of equations:

1) X + Y = 15

2) X - Y = 4

Working on the first one:

X = 15 - Y

And now let's plug it in the second one:

(15 - Y) - Y = 4

15 - 2Y = 4

2Y = 11

Y = 11/2

Let's substitute this in one of the two equations:

X + 11/2 = 15

X = 19/2

Answer:

y = (2/3)*a

Step-by-step explanation:

We can write the equation using the linear equation model:

y = ax + b

Then, to find the values of 'a' (slope) and 'b' (y-intercept), we can use two points of the graph.

Using the point (0,0), we have:

0 = a*0 + b

b = 0

Using the point (3,2), we have:

2 = a*3 + b

a = 2/3

So our equation is:

y = (2/3)*a

Answer:

The correct answer is Y= 3/4x

Step-by-step explanation:

I did savvas realize, the is the the correct answer↑

Answer:

y=135

Step-by-step explanation:

To find the solution, we must put 7 in for x and solve, as shown:

[tex]y=310-(25)(7)\\y=310-175\\y=135[/tex]

Answer:

10/26, simpified to 5/18

Step-by-step explanation:

10 letters in "County Fair"  None repeat.

26 letters in the alphabet

10/26

5/18

9514 1404 393

Answer:

  $25

Step-by-step explanation:

If c is the 2011 cost, then we are told ...

  30 = c + 20%×c

  30 = 1.2c . . . . . . simplify

  30/1.2 = c = 25 . . . . . divide by the coefficient of c

The 2011 cost was $25.

Answer:

5/6 of a cup of brown sugar

Step-by-step explanation:

45 divided by 18 equals 2.5.

So, 2.5 times 1/3 of a cup equals 5/6 of a cup of brown sugar.

The number of cups of brown sugar needed is 5/6 cups.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

The ratio of brown sugar to cookies is [tex]\frac{1}{3}[/tex]  : 18. In order to determine the amount of brown sugar needed for 45 cookies, use this formula:

Number of cookies = (45 x  [tex]\frac{1}{3}[/tex] ) / 18 = 15 / 18 = 5/6

To learn more about ratios, please check: https://brainly.com/question/17995727?referrer=searchResults

Answer:2 9/50

Step-by-step explanation:

2 18/100

Simplifies to 2 9/50

Answer:

109/50

Step-by-step explanation:

First, let's split this number up.

2.18 = 2.00 + 0.18

Remember that 0.18 means 18 hundredths, which can be represented as 18/100. Simplified, this equals 9/50.

Now, we have the mixed number 2 9/50.

Remember how to turn a mixed number into a fraction? Multiply 2 by 50, then add 9! That's the numerator. The denominator will be 50, the denominator of the fraction in the mixed number.

2 9/50 in fraction form is 109/50.

This is the simplest form!

Hope this helps! Feel free to reach out to me if you have any more questions :)

Answer:

k=14

Step-by-step explanation:

z+1=k

z+k=27

z=k-1

k-1+k=27

2k=28

k=14

Answer:

The smaller number is 13. The larger number is 14. (k?)

Step-by-step explanation:

If you add all the 2 consecutive integers up:

1+2=3

2+3=5

3+4=7

4+5=9

5+6=11

6+7=13

7+8=15

8+9=17

9+10=19

10+11=21

11+12=23

12+13=25

13+14=27

14+15=29

Only 13 & 14 add up to 27. Of course you don't have to do this and just find consecutive integers whose one's place is 3 and 4

Answer:

[tex]1/65536[/tex]

Step-by-step explanation:

[tex]4^-8 \times 4^0[/tex]

[tex]1/4^8 \times 1[/tex]

[tex]1/4^8[/tex]

[tex]=0.00001525878[/tex]

Answer:

[tex]\frac{1}{4^{8} }[/tex] or [tex]4^{-8}[/tex] but the correct way would be [tex]\frac{1}{4^{8} }[/tex]

Step-by-step explanation:

Last time I did this I was like in 8th grade so I had to watch a video lol, but basically... If you want the answer to stay in exponential form and if the base number is the same than all you gotta do is add or subtract the exponents.

-8+0=-8

But when it's a negative exponent you gotta make it positive by flipping it, so instead of [tex]4^{-8}[/tex] it will be [tex]\frac{1}{4^{8} }[/tex]

Answer:

Step-by-step explanation:

(3b)^(4/3) is equivalent to  ∛(3b)^4.

∛[81b^4] is also equivalent.

Answer:

similar and same shape

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

625^(1/4) = 5

Answer:

1/4

Step-by-step explanation:

log625 5= log 5/ log 625 = log 5 / log 5^4 / = log 5 /4 log 5= 1/4

Answer:

10, 11 and 12.

Step-by-step explanation:

A number has 5 as one of its factors, when last digit is 5 or 0. Only prime numbers have 1 as the only factor and a number has 2 as one of its factors when last digit is 2, 4, 6, 8 or 0.

Three possible consecutive numbers are 10, 11 and 12. 10 is the product of 2 and 5, 11 is a prime number and 12 is the product of 3 and 2². Therefore, possible choice is 10, 11 and 12.

Answer:

false

Step-by-step explanation:

parallel lines are lines that never meet or cross and go side by side.

Answer:

WERES THE GRAPH

Step-by-step explanation:

Answer:

hi

Explanation:

hi

Answer:

The first option: 3x = 3 + 2x

Step-by-step explanation:

The question answers itself. In short:

x is our unknown number.

If three times a number (3x) is (=) three more (3) than (+) twice the number (2x).

Answer:

c

Step-by-step explanation:

We have a = 2, b = -8 and c = 25

D = b² - 4ac = (-8)² - 4 * 2 * 25 = 64 - 200 = -136

Since D < 0, the answer is no real solutions.

Answer:

a) The volume of the water is approximately 678.6 cm³.

b) The volume of the sphere is approximately 113.1 cm³.

c) The new height of the water is approximately 7 cm, one cm higher than before.

Step-by-step explanation:

To solve this problem we first need to calculate the volume of the water, which is given by the cylinder volume, since it's stored in a cylindrical container.

[tex]\text{water volume} = \pi*r^2*h\\\text{water volume} = \pi*(6)^2*6\\\text{water volume} = \pi*36*6\\\text{water volume} = 678.584 \text{ }cm^3\\[/tex]

We now need to calculate the volume of the sphere, by using the appropriate formula:

[tex]\text{volume sphere} = \frac{4}{3}\pi*r^3\\\text{volume sphere} = \frac{4}{3}\pi*(3^3)\\\text{volume sphere} = \frac{4}{3}\pi*27\\\text{volume sphere} = 113.09 \text{ } cm^3[/tex]

When the sphere is inserted into the cylinder the volume of the things that are inside of the container are added up, so the volume would be the volume of the water plus the volume of the sphere, we can use this information to calculate the height of the water as shown below:

[tex]\text{total volume} = \text{water volume} + \text{sphere volume}\\\text{total volume} = 678.6 + 113.1 = 791.7\\\text{total volume} = \pi*r^2*h_{new}\\791.7 = \pi*(6)^2*h_{new}\\h_{new} = \frac{791.7}{\pi*36} = 7.00016\text{ } cm[/tex]

a) The volume of the water is approximately 678.6 cm³.

b) The volume of the sphere is approximately 113.1 cm³.

c) The new height of the water is approximately 7 cm, one cm higher than before.

Answer:

4.50 per melon

Step-by-step explanation:

Take the price and divide by the number of melons

13.50/3

4.50 per melon

Answer:

c.15 to 10

Step-by-step explanation:

The ration 12 to 8 means that for every 12 lions there are 8 tigers in the zoo.

Ratios have the quality of conservate their meaning when both values in the ratio are multiplied or divided by the same number.

For example:

a ratio of 2 to 4 is the same as a ratio of 3 to 6 (both values are multiplied by 1.5 (or in fraction by 3/2) ).

in the same way that the ratio 9 to 3 is the same as 3 to 1 (divide both values by 3).

In this case we are looking for an equivalent ratio to the 12 to 8 ratio, the answer is

c.15 to 10

because this results from multiplying the two original values by 1.25 or, in fraction, by 5/4. You can see this becase

12*1.25 = 15

and

8*1.25 = 10

we get that when we multiply the ratio 12 to 8 by 1.5 the equivalent ratio is option C.

Answer:

A

Step-by-step explanation:

Given

x² - 13x + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 13)

The factors are - 3 and - 10, since

- 3 × - 10 = + 30 and - 3 - 10 = - 13 , thus

x² - 13x + 30 = (x - 3)(x - 10) ← in factored form

Thus (x - 3) is a factor of the polynomial → A

Answer:

[tex](x - 3)[/tex]

Answer A is correct

Step-by-step explanation:

[tex]{x}^{2} - 13x + 30 \\ {x}^{2} - 10x - 3x + 30 \\ x(x - 10) - 3(x - 10) \\ = (x - 3)(x - 10)

\\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

c= 1

Step-by-step explanation:

To get rid of (c) on the right side, simply divide 2^n both side. But first collect like terms on the left side so you will get 2^n + 1 which you will then simplify the like term(2^n) and you will left with c= 1.

Answer: Her average speed was 480 km/ 5h which is 96.

Step-by-step explanation: When she went there her speed 120 km/ h and if the distance was 240 km, then it took her 2 hours to get there. 240 divided by 120 is 2. When she returned her average speed was 80 km/h and since the distance was 240, 240 divided by 8 is 3 which means it took her 3 hours to get back home. She drove a total of 480 km , because the distance to the trip was 240 and the distance from the trip to the back was 240. 240 + 240 is 480. She drove a total of 480 km in 5 hours because it took her 2 hours to go there and 3 hours to come back . 480 km / 5h

With that information we can create the equation

10x + 5000 = 20x

where x is the number of earphones produced

10x is the cost to make each earphone, 5000 being the fixed costs of manufacturing, and 20x being the total revenue of selling each earphone for $20

Now to solve the equation:

subtract both sides by 10x

10x - 10x + 5000 = 20x - 10x

5000 = 10x

Now divide both sides by 10

5000/10 = 10/10 x

500 = x

Answer: D

Hope it helps :)

500 earphones must be produced to get the cost price of one ear phone of $20.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

The start-up costs for manufacturing earphones is $5,000.

Also, the cost to make earphones is $10.

Let x number of  earphones will produced to get a cost per unit of $20.

From the given conditions, we will get a linear equation in one variable

10x + 5000 = 20x

⇒ 5000 = 20x -10x

⇒ 5000 = 10x

⇒ x = 500

Hence, 500 earphones must be produced to get the cost of earphone of $20.

Learn more about linear equation in one variable here:

https://brainly.com/question/17139602

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