Simplify Fraction to lowest terms 12/28

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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Answer:

y = 4x + 2

Step-by-step explanation:

24 coins gained after 6 weeks

24 / 6 = 4 coins a week

y = 4x + 2

Answer:

Percent decrease in mobile = 19.17 % (Approx)

Step-by-step explanation:

Given:

Retail price of mobile phone = $240

Sales tax = 15% on retail value

Total discount including sales tax = $46

Find:

Percent decrease in mobile

Computation:

Cost of mobile = $240(85/100)

Cost of mobile = $204

Percent decrease in mobile = [$46 - 15%]204

Percent decrease in mobile = 19.17 % (Approx)

The value of x in the proportion is 15.8.

1910 = x12

1910 = 12x

divide both sides by  12

1910 / 12 = 12x / 12

x = 15.8333333333

x ≈ 15.8

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Answer:

the correct answer is 5 snowmen

Answer:

17

Step-by-step explanation:

Well you have to get x by itself so....

subtract 8 from both sides

25 -8 = 17 there is your answer

Hey there!

x + 8 = 25

SUBTRACT 8 to BOTH SIDES

x + 8 - 8 = 25 - 8

SIMPLIFY IT!

x = 25 - 8

x = 17

Therefore, the answer should be: x = 17

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step

2/7

The surface area of the cylinder after dilation is: 36 units².

Surface area of a cylinder = 2πrh + 2πr²

Find the surface area of the cylinder before dilation:

Surface area = 2πrh + 2πr² = 2(π)(9)(9) + 2(π)(9²)

Surface area = 324π units²

Surface area of the cylinder after dilation = 324π × (1/3)²

= 324π × 1/9

= 36 units²

Thus, the surface area of the cylinder after dilation is: 36 units².

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If you buy 5 Number Six burgers and two people are sharing the bill, each person would pay $15.

To calculate the cost of buying 5 Number Six burgers, we need to know the price of one burger.

Let's say each burger costs $6.

To find the total cost, multiply the price of one burger by the number of burgers purchased: $6 x 5 = $30.

So, buying 5 Number Six burgers would cost $30 in total.

Next, you mentioned that two people are sharing the bill.

To determine how much each person pays, divide the total cost by the number of people sharing the bill.

In this case, there are two people.

So, each person would pay $30 / 2 = $15.

Therefore, if you buy 5 Number Six burgers and two people are sharing the bill, each person would pay $15.

Keep in mind that the price of the burgers and the number of people sharing the bill can vary, so always double-check the prices and quantities before making any calculations.

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Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.  

A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.

Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.

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Answer:

Hello! answer: 11 25/64

Step-by-step explanation:

Volume is just length × width × height since its a cube all of those will be the same so...

2 1/4 × 2 1/4 × 2 1/4 = 11 25/64 Hope that helps!

Answer:

11 25/64

Step-by-step explanation:

To find the volume of a cube, you have to cube the side length.

2 1/4^3=2 1/4•2 1/4•2 1/4=9/4•9/4•9/4=729/64=11 25/64.

it’s 1/4 of a circle.

Answer:

B

Step-by-step explanation:

given

tanΘ = \(\frac{3\sqrt{5} }{2}\) = \(\frac{opposite}{adjacent}\)

this ratio relates to a right triangle, with hypotenuse h and

legs 3\(\sqrt{5}\) and 2

using Pythagoras' identity in the right triangle

h² = (3\(\sqrt{5}\) )² + 2² = 45 + 4 = 49 ( take square root of both sides )

h = \(\sqrt{49}\) = 7

then

cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{2}{7}\)

(a) The acceleration of the bus is 0.6 m/s^2.

(b) The distance traveled by the bus after 100 seconds is 3000 meters.

(a) To find the acceleration of the bus, we can use the formula:

acceleration = (final velocity - initial velocity) / time

Here, the initial velocity is 0 m/s (since the bus started from rest), the final velocity is 60 m/s, and the time taken is 100 seconds. Substituting these values in the above formula, we get:

acceleration = (60 m/s - 0 m/s) / 100 s

acceleration = 0.6 m/s^2

Therefore, the acceleration of the bus is 0.6 m/s^2.

(b) To find the distance traveled by the bus after 100 seconds, we can use the formula:

distance = (initial velocity * time) + (1/2 * acceleration * time^2)

Here, the initial velocity is again 0 m/s, and we have already calculated the acceleration to be 0.6 m/s^2. Substituting these values along with the time taken of 100 seconds, we get:

distance = (0 m/s * 100 s) + (1/2 * 0.6 m/s^2 * (100 s)^2)

distance = 3000 meters

Therefore, the distance traveled by the bus after 100 seconds is 3000 meters.

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The expression will give you the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly.

To calculate the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = final amount
P = principal amount (initial amount)
r = annual interest rate (in decimal form)
n = number of times interest is compounded per year
t = number of years

Given that the car is to be paid P15,000 at a 9% interest rate, we need to find the equivalent amount after 9 years at a 6% annual interest rate compounded quarterly.

P = 15,000
r = 6% = 0.06
n = 4 (quarterly compounding)
t = 9

Plugging in these values into the formula:

A = 15,000(1 + 0.06/4)^(4*9)

Calculating this expression will give you the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly.

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(a) Two descriptive statistics cited from the survey are: a. Of those investment managers surveyed, 44% were bullish or very bullish on the stock market.

b. Of those investment managers surveyed, 23% selected health care as the sector most likely to lead the market in the next 12 months.

These statistics describe the proportions or percentages of investment managers with certain attitudes or preferences based on the survey results. (b) Inference about the average return expected on equities over the next 12 months for the population of all investment managers: Based on the survey, the average expected return over the next 12 months for equities among the investment managers surveyed was 11.3%. Therefore, we can infer that the estimated average expected 12-month return on equities for the population of investment managers is likely to be around 11.3%. However, it's important to note that this is an inference and not a definitive conclusion, as the survey represents a sample of investment managers and may not perfectly represent the entire population.

(c) Inference about the length of time it will take for technology and telecom stocks to resume sustainable growth: The survey found that the managers' average response for the length of time it would take for technology and telecom stocks to resume sustainable growth was 2.3 years. From this, we can infer that the estimated average length of time it will take for technology and telecom stocks to resume sustainable growth for the population of investment managers is approximately 2.3 years. Again, this is an inference based on the survey data and may not be an exact representation of the entire population.

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Answer:

9

Step-by-step explanation:

Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

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Answer:

Step-by-step explanation:

x = 180 - 72 = 108° (linear pair)

y = 72° (vertically opposite angles)

z = 180 - (90+72) = 180 - 162 = 18°

The kinetic energy will the ball acquire from the bat is 2× 10² J

According to the question

Bat stays in contact for 5.0 X 10⁻³ and the ball travels at a speed of 2.0 X 10⁴.

An object's kinetic energy is the power it has as a result of motion. It is explained as the amount of effort required to move a mass-based body from rest to the indicated velocity.

The body keeps its kinetic energy, which it acquired during acceleration, unless its speed changes.

A mass m object moving at a speed v has kinetic energy 1/2 mv² according to classical mechanics.

Favg= -1/2 MV²

K= -1 2 ( 5.0 x 10⁻³)²

K = - 1/2 ×25 × 10⁻⁶

K = 2× 10² J

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Answer:

Step-by-step explanation:

3x6= 18 then 14000 x 18 = 252,000

Answer:

114 feet

Step-by-step explanation:

To figure out the perimeter, we also need the width

The width can be found by dividing the area by the length

800/32 = 25

to find the perimeter, we use the equation 2L + 2W = P

L is the length

W is the width

2(32) + 2(25) = 64 + 50 = 114

114 feet is the perimeter

Give brainliest, please!

hope this helps :)

The required answer is SCN(712) = 25 * C711 - 56 + c .

Explanation:-

To find the value of c, first analyze the given equation.

the recursive formula for s(n) as follows:

s(n) = 70 - 20 + 6

From this equation,  deduce that s(n) = 56 for all values of n, as all the terms on the right-hand side of the equation cancel out.

Now,  consider the recursive formula for SCN(n):

SCN(n) = 25 * CN-1 - S(0-2) + c

Substituting the value of s(n) into this formula, we get:

SCN(n) = 25 * CN-1 - 56 + c

Given that this formula holds true for all integers n, including n = 712, we can rewrite it specifically for n = 712:

SCN(712) = 25 * C711 - 56 + c

 solve for c. more information or constraints to determine the value of c.

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Answer:

(x+5)/(2x+3)

Step-by-step explanation:

So we know the top part is difference of two squares. So thats (x+5)(x-5)

The bottom part

Firstly you do 2 times -15= -30

Now we need to find two numbers with a difference of 7 but multiply to give 30.

30

1 x 30

2 x 15

3 x 10

5 x 6

From here we can see 3-10=-7 and multiply to make -30

So we do 2x²-10x+3x-15

simplify this in two different parts: 2x²-10x and 3x-15

2x(x-5) and 3(x-5)

Therefore we get (2x+3)(x-5)

(x+5)(x-5)/(2x+3)(x-5)

x-5 is common so they cancel each other out leaving you with

(x+5)/(2x+3)

I hoped this helped :)

There are 617,322 different committees of 6 members that are possible if the committee must have strictly more women than men.

To solve this problem, we need to use the combination formula, which is:
nCr = n! / r! (n - r)!
where n is the total number of people in the department (i.e. 33), r is the number of men in the committee, and (n-r) is the number of women in the committee.

Since we want the committee to have strictly more women than men, we know that r can be at most 2 (i.e. if there are 3 men, then there would be fewer women). So we need to find the number of possible committees with 0, 1, or 2 men.

When r = 0, we have:
C(20, 6) = 38,760

When r = 1, we have:
C(13, 1) x C(20, 5) = 13 x 15,504 = 201,552

When r = 2, we have:
C(13, 2) x C(20, 4) = 78 x 4,845 = 377,010

So the total number of possible committees with strictly more women than men is:
38,760 + 201,552 + 377,010 = 617,322

Therefore, there are 617,322 different committees of 6 members that are possible if the committee must have strictly more women than men.

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Answer:

8ft. x 16ft.

Step-by-step explanation:

If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.

The translation transformation of the parent function in the graph, indicates that the equation for each of the specified graphs, using the form y = f(x - h) + k, are;

a. y = f(x) + 3

b. y = f(x - 3)

c. y = f(x - 1) + 2

A transformation of a function is a function that takes a specified function or graph and modifies them into another function or graph.

The points on the graph of the specified function f(x) in the diagram are; (0, 0), (1.5, 1), (-1.5, -1)

The graph is the graph of a periodic function, with an amplitude of (1 - (-1))/2 = 1, and a period of about 4.5

Therefore, we get;

a. The graph in part a consists of the parent function shifted up three units. The transformation that can be represented by the vertical shift of a function f(x) is; f(x) + a or f(x) - a

Therefore, the translation of the graph of the parent function is; f(x) + 3

b. The graph of the parent function in the graph in part b is shifted to the right two units, and the vertical translation is zero units, down or up.

The translation of the graph of a function by h units to the right or left can be indicated by an subtraction or addition of h units to the value of the input variable, therefore, the translation of the function in the graph of b is; y = f(x - 3) + 0 = f(x - 3)

c. The translation of the graph in part c are;

A vertical translation 2 units upwards

A horizontal translation 1 unit to the right

The equation representing the graph in part c is therefore; y = f(x - 1) + 2

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Answer:

A,

Step-by-step explanation:

Hey There. Your Answers Are A. And D.

Step-by-step explanation:

Answer:

it's 2 meters

.........................

Answer:

660

Step-by-step explanation:

Ripley = 1,750

West Union = 3,241

Georgetown = 4,331

Add Ripley and West Union populations together:

1750 + 3241 = 4991

It wants to know how much more the combined populations are than Georgetown so subtract Georgetown from the combined population:

4991 - 4331 = 660