For the entire city of Athens, the average income is $33,060, and 37.8% of the residents are below the poverty line. A local researcher does not have this information, so she tries to estimate these values by taking a random sample of 200 citizens of Athens. In her sample, the average income is $38,150, and 25% of the citizens in her sample were below the poverty line.1The entire city of Athens is the:_______.a. population.b. sample.2) The 200 citizens from the researcher's data is the:______.a. sample.b. population.3) Which symbol would denote the value of 0.378 in this example?4) Which symbol would denote the value of 0.25 in this example?

Answer:

2×2 =4

4×2 =8

8×2 =16

there is ur answer

Answer:

girl it not hard; just count by 2s

Step-by-step explanation:

2 4 6 8 10 12 14 16

or do what the other person did

G00gle could also help

tthanks for point XD

Answer:

as we can see b and are reflections as ther are same

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer:

B

Step-by-step explanation:

Since the only difference in the aquariums is the length, you can find the difference by multiplying the difference in length with the rest of the dimensions.

Difference in length = 4ft - 3ft

                                 = 1ft

Difference in volume = 1ft × 2ft × 1ft

                                   = 2ft³

Answer:

0

Step-by-step explanation:

5/6+(-5/6)=5/6-5/6=0

An account with a starting balance of P accruing interest with rate r for time t, componunded continuously, ends up with a balance A according to

\(A=Pe^{rt}\)

Plug in everything you know and solve for r :

\(8624.97=6139e^{17r}\)

Divide both sides by 6139:

\(\dfrac{8624.97}{6139}=e^{17r}\)

Take the natural logarithm of both sides:

\(\ln\left(\dfrac{8624.97}{6139}\right)=\ln e^{17r}\)

Recall that \(\ln x^y=y=\ln x\), so that

\(\ln\left(\dfrac{8624.97}{6139}\right)=17r\ln e\)

and ln(e) = 1, so

\(\ln\left(\dfrac{8624.97}{6139}\right)=17r\)

Finally, divide both sides by 17:

\(r=\dfrac1{17}\ln\left(\dfrac{8624.97}{6139}\right)=\boxed{0.02}\)

So the account has an interest rate of 2%.

The scenario that Micah’s graph represents is B. Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.

A graph is a diagram showing the relation between variables, each measured along with one of a pair of axes at right angles.

Here, Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.

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Answer: b or Micah’s plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.

Step-by-step explanation:

The rule (x,y) -> (x - 10, y - 4) represents a translation of 10 units left and 4 units down.

The four translation rules are defined as follows:

Hence the meaning of each translation in the context of this problem is given as follows:

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Answer:

c. 9.

Step-by-step explanation:

Sum of interior angles = 180(n - 2), so

180(n - 2) = 1260

180n - 360 = 1260

180n =1260 + 360 =   1620

n = 1620/ 180

= 9 sides.

Answer: JIK and HIF

Step-by-step explanation:

JIK and HIF because their measures are congruent and they are reflective of each other, so they are vertical.

The Equation to represent the "total-cost", "t", for purchasing "5 hardcover books", 8 "paperback-books", and 6 music CDs during the sale is t = 4h + 6.4p + 6m - 1.

The cost of the hardcover-book is = $h,

The cost of the paperback-books is = $p,

The cost for one music-CD is = $m,

In the sale, the price of each book is reduced by 20%, and

The price of music-CD is reduced by $1,

So, the cost of 5 hardcover books during the sale is:

⇒ 5h - 0.2(5h) = 4h     ...because 20% = 0.2;

and the cost of 8 paperback books during the sale is:

⇒ 8p - 0.2(8p) = 6.4p,

The cost of 6 music CDs during the sale is ⇒ 6m - 1;

So, the total cost, "t", for buying 5 hardcover books, 8 paperback books, and 6 music CDs during the sale is:

⇒ t = 4h + 6.4p + 6m - 1,

Therefore, the required equation of "total-cost" is t = 4h + 6.4p + 6m - 1.

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Answer:

I would say (4, -8)

Step-by-step explanation:

Answer:

WHATS the question???

Step-by-step explanation:

Answer:

answer  in the  picture

Step-by-step explanation:

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

Yes, the membership is worth it.

Step-by-step explanation:

Per workout : $10× 24 days = $240

Per workout with th membership: $3 × 24 days = $72+ $140 = $212

Answer:

1 mi 683 yd

Step-by-step explanation:

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

The fabric  has a cost per yard of $6 per yard

From the question, the given parameters are:

Yards of fabric = 2 1/2 yards

Cost of the fabric = $15

The cost per yard of the fabric is then calculated as

Cost per yard = Cost of the fabric/Yards of fabric

Substitute the known values in the above equation

So, we have

Cost per yard = 15/(2 1/2)

Evaluate the quotient

So, we have

Cost per yard = 6

Hence, the cost per yard is $6 per yard

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Answer:

a) 5.13beats/min

b) 2.82 beats/min

Step-by-step explanation:

Given the pulse rate of a person modelled by the equation y = 600x^-1/3 for 30≤x≤75

If the height is 39inches, the instantaneous rate of change of pulse rate for the heights will be expressed as;

y = 600(39)^-1/3

y = {600(1/39)}/3

y = 600/39×3

y = 600/117

y ≈ 5.13beats/min

The instantaneous rate for a 39 inches tall person is 5.13 beats per min

b) For a 71inches tall person, the beat rate will be expressed as;

y = 600(71)^-1/3

y = {600(1/71)}/3

y = 600/71×3

y = 600/213

y ≈ 2.82 beats per minute

The instantaneous rate for a 71 inches tall person is 2.82 beats per min

answer:

$14

step-by-step explanation:

the formula for simple interest is-

i=prt

meaning interest=principal (the starting amount of money) * rate * time

=200*0.01*7

(we have to turn 1% into a decimal so 1/100=0.01)

=14

i=14

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

After 7 years and a 1% interest rate, Brendan will have a total of 214$.

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given, Brendan has $200 in a saving account with a 1% interest rate.

The simple interest is given as

Interest = (PRT/100)

where

P = Amount deposited = 2,00

R = Rate = 1%

T= Time = 7 years

Interest = (PRT/100)

Interest = (200 × 7 × 1/100)

Interest = 14

Total amount = SI + principal amount

Total amount = 14 + 200 = 214

Therefore, Brendan will have 214 $ after 7 years and a 1% interest rate.

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Looking at triangle ABC

C represents the top of the tree

B represents the foot of the tree

We want to determine BC which is the height of the tree

Since the triangle is a right angle traingle, we would apply the tangent trigonometric ratio which is expressed as

tan # = opposite side/adjacent side

tan 57 = BC/32

BC = 32tan57 = 32 * 1.5399

BC = 49.3 meters

Height of the tree is 49.3 meters

Answer:

14

Step-by-step explanation:

(10.5×5.2)÷(2×2)

=13.65

~14

Answer:

14 students

Step-by-step explanation:

because of round to the nearest whole number.

mark me brainliest please

Answer:

m = 1.8

Step-by-step explanation:

given m is inversely proportional to (p - 1)² then the equation relating them is

m = \(\frac{k}{(p-1)^2}\) ← k is the constant of proportion

to find k use the condition when p = 4, m = 5

5 = \(\frac{k}{(4-1)^2}\) = \(\frac{k}{3^2}\) = \(\frac{k}{9}\) ( multiply both sides by 9 )

45 = k

m = \(\frac{45}{(p-1)^2}\) ← equation of proportion

when p = 6 , then

m = \(\frac{45}{(6-1)^2}\) = \(\frac{45}{5^2}\) = \(\frac{45}{25}\) = 1.8

Answer:

  y =  {-180, 2 8/11}

Step-by-step explanation:

I like to solve these using a graphing calculator. I generally start by writing the equation in the form ...

  f(y) = 0

This can be done by subtracting the right-side expression from both sides. The solution will be the horizontal intercepts of the graph:

  y = -180; y = 2 8/11

__

To solve this analytically, you need to recognize that this resolves into four equations, effectively two identical pairs. Each equation comes with a set of conditions (domain) for which it is applicable. Here is the expanded set of equations:

  1/3y -7 = 2/5y +5 . . . both positive: 1/3y -7 ≥ 0 and 2/5y + 5 ≥ 0

  7 -1/3y = 2/5y +5 . . . left side negative: 1/3y -7 ≤ 0 and 2/5y +5 ≥ 0

  1/3y -7 = -2/5y -5 . . . right side negative: 1/3y -7 ≥ 0 and 2/5y +5 ≤ 0

  7 -1/3y = -2/5y -5 . . . both sides negative: 1/3y -7 ≤ 0 and 2/5y +5 ≤ 0

__

The conditions resolve to ...

  1/3y -7 ≥ 0

  y -21 ≥ 0 . . . . . multiply by 3

  y ≥ 21 . . . . . . . add 21

and ...

  2/5y +5 ≥ 0

  y +25/2 ≥ 0 . . . . multiply by 5/2

  y ≥ -25/2 . . . . . subtract 25/2

Now, we are in a position to solve the equations and determine where the solution is applicable.

__

both positive

The domain will be y ≥ 21 and y ≥ -25/2, which is y ≥ 21.

Multiplying the equation by 15 gives ...

  5y -105 = 6y +75

  y = -180 . . . . . . . . . subtract 5y+75

This solution is not in the allowed domain.

__

left side negative

The domain will be y ≤ 21 and y ≥ -25/2, which is -25/2 ≤ y ≤ 21.

Multiplying the equation by 15 gives ...

  105 -5y = 6y +75

  30 = 11y . . . . . . . . . add y-75

  y = 30/11 . . . . . .  the solution is in the allowed domain

__

right side negative

The domain will be y ≥ 21 and y ≤ -25/2. This is the empty set.

__

both sides negative

The domain will be y ≤ 21 and y ≤ -25/2, which is y ≤ -25/2.

Multiplying the equation by 15 gives ...

  105 -5y = -6y -75

  y = -180 . . . . . . . . . . add 6y-105 . . . . the solution is in the allowed domain

__

Solutions to this equation are ...

  y = 30/11 = 2 8/11

  y = -180

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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Answer:

B) 24

Step-by-step explanation:

f(x)=2x+4

g(x)=3x+1

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

g(3)=3(3)+1=9+1=10

f(g(3))=f(10)=2(10)+4=20+4=24

Composite functions are function into another function. The value of the composite function f(g(3)) is 24

Composite functions are function into another function. Given the following functions:

f (x) = 2x + 4 and;

g(x) = 3x + 1,

Determine the composite function f(g(3))

f(g(x)) = f(3x + 1)

f(3x+1) = 2(3x + 1) + 4

Substitute x = 3 into the result

f(g(3)) = 2(3(3)+1) + 4

f(g(3) = 2(10) + 4

f(g(3)) = 24

Hence the value of the composite function f(g(3)) is 24

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