The total population of Aiken County is 173,000 and there are approximately 23,000 students enrolled in Aiken County schools. What percentage of Aiken County residents are enrolled in Aiken County schools? Round your answer to the nearest tenth.

Answer:

0.0046

Step-by-step explanation:

Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

Answer:

35

Step-by-step explanation:

Given f(x) = x⁴ – 3x³ + x – 3. What is Limit of f (x) as x approaches negative 2?

=> f(-2) = (-2)⁴-3(-2)³+(-2)-3

= 16+24-2-3

= 35

a)The additional cost in dollars incurred when output is increased from 4 to 20 units is $1,347.20.

b) The total cost function from components (a), C(20) equals $1,833.00.

To determine the additional cost incurred when production is increased from 4 to 20 units, we must compute the difference in total cost between manufacturing fifteen units and producing two units. This can be accomplished by calculating the definite integral of the marginal cost function from x = 4 to x = 20:

a. To compute the additional cost in dollars incurred when production is increased from 4 to 20 units, divide the total cost of manufacturing 20 units by the total cost of producing 4 units.

We may accomplish this by incorporating the marginal cost function:

C(x) = C'(x) dx = 0.03x3 - 2x2 + 60x + C(x)

where C is the integration constant. We can use the knowledge that C(4) = 203 to calculate C:

203 = 0.03(4)^3 - 2(4)^2 + 60(4) + C C = 67

As a result, the total cost function is:

C(x) = 0.03x^3 - 2x^2 + 60x + 67

We can now calculate the additional cost of making 16 units (the difference between 20 and 4 units):

C(20) - C(4) = (0.03(20)^3 - 2(20)^2 + 60(20) + 67) - (0.03(4)^3 - 2(4)^2 + 60(4) + 67) = $1,347.20

As a result, the additional cost in dollars incurred when output is increased from 4 to 20 units is $1,347.20.

b. Using the total cost function from component (a), we may find C(20):

C(20) = 0.03(20)^3 - 2(20)^2 + 60(20) + 67 = $1,833.00

As a result, C(20) equals $1,833.00.

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The sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}

The sets are given as:

U = The set of one-digit numbers

A = {x: x is an even natural number less than or equal to 9}

One-digit numbers are numbers 0 - 9.

So, we have

U = {0, 1, 2, 3.....,9}

Natural numbers are numbers from 1.

Even natural numbers can be divided by 2 without remainder'

So, we have

A = {2, 4, 6, 8}

Hence, the sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}

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Answer:

Step-by-step explanation:

Answer:

july

Step-by-step explanation:

id say its july but i cant see all the options so im not sure thats one of them!

Answer: it’s 7

Step-by-step explanation:

f(2)=3(2)+1

f(2)=6+1

f(2)=7

The value of m∠Q as shown in the right-angled triangle below is 62.59°.

The Formula used is:

m∠Q = cos⁻¹(s/r)........................ (1)

Where:

s = 29 m

r = 63 m

Now, Substitute these values into equation 1

m∠Q = cos⁻¹(29/63)

m∠Q = cos⁻¹(0.46)

m∠Q = 62.59°

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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I am not too sure but i think it is 2.7 feet.

Answer:

x = 42 - 4

x = 38

Step-by-step explanation:

Given that :

Initial number of plane models = x

Number of additional models built = 4

Total number of planes = 42

Total = initial amount + additional amount

42 = x + 4

Make x the subject

42 - 4 = x + 4 - 4

x = 42 - 4

X + 4 = 42

X = 42 - 4

X = 38

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:3

Step-by-step explanation:

so you take 41 and divide by 2 and get 5. then take -51 and times by 6 which is 24.then you take seven and multipy by 3 and get 20. so you are left with 5, 24, and 20. Multiply all of them and get 3!!

Answer:

Step-by-step explanation:

You want the formula that represents (p, a) = (3.50, 250) and (2.50, 350) as a linear function. Then you want the value of 'a' for p = 1.50.

We can see from the ordered pairs that 'a' goes up by 100 when p goes down by 1.00. The slope is ...

  m = ∆a/∆p = 100/(-1) = -100

The y-intercept (b) can be found by solving the slope-intercept equation for b:

  y = mx +b

  b = y - mx

For (x, y) = (3.50, 250), the value of 'b' is ...

  b = 250 -(-100)(3.50) = 600

The slope-intercept equation for 'a' in terms of p is ...

  a = -100p +600

The value of 'a' for p = 1.50 is ...

  a = -100(1.50) +600

  a = 450

They will sell 450 items if the price per item is $1.50.

The appropriate unit for measurement for momentum p is kgm/s ( option C)

momentum is defined as the product of mass of a body and it's velocity. momentum is a vector quantity. It is represented by p

From the definition of momentum, momentum can be expressed as :

p = m× v

where m is the mass of the body and v is the velocity of the body.

For example if a body of mass 5kg is moving with a velocity of 10 m/s, it momentum will be 5×10 = 50kgm/s

The change in momentum of a body is referred to as the impulse of the body.

from the formula;

v has a unit of meter per second (m/s)

m has a unit if kilogram (kg)

therefore the unit of measurement of p will be:

p = kg × m/s

p = kgm/s

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Answer:

20.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

u=6i-j

v=7i-4j

u.v=|6i-j||7i-4j| cos α,where α is the angle between u & v.

(6i-j).(7i-4j)=√(6²+(-1)²)√(7²+(-4)²) cos α

(6)(7)+(-1)(-4)=√37√65 cos α

42+4=√37√65  cos α

\(\cos \alpha =\frac{46}{\sqrt{37} \sqrt{65} } \\\alpha =\cos^{-1}\frac{46}{\sqrt{37} \sqrt{65} } \approx 20.28^\circ \approx 20.3^\circ\)

Answer:

Simplify = 7x/6 - 3/28

Reciprocal = 6x/7 - 28/3

Step-by-step explanation:

Add x to the top of the first fraction to combine them.

To find the reciprocal you flip the numbers. So the numerator is the bottom and the dominator is the top.

The volume of the cone is 4 cubic centimeters.

The volume of a cone is a measure of the space occupied by the cone. It is given by the formula \(V = (1/3) \times \pi \times r^2 \times h\), where r is the radius of the base of the cone and h is the height of the cone.

In this case, the base of the cone has a diameter of 2 cm, which means the radius of the base is 1 cm. The height of the cone is given as 4 cm. Substituting these values into the formula, we get:

\(V = (1/3) \times \pi \times (1 cm)^2 \times 4 cm\\= (1/3) \times 3 \times 4 cm^3\\= 4 cm^3\)

Therefore, the volume of the cone is 4 cubic centimeters. It is important to note that the volume of a cone can be used to calculate the amount of material needed to fill the cone, such as in the case of ice cream cones or traffic cones.

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The final statement is: The value of F(8)=21

The Fibonacci sequence is a set of integers (the Fibonacci numbers) that starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers. The sequence follows the rule that each number is equal to the sum of the preceding two numbers.

Given here: The fibonacci function is given by

F(n)=F(n-1)+F(n-2) and F(6)=8 and F(7)=13

Now option  is given by F(8)= F(7)+F(6)

                                                = 13+8

                                                =21

Hence, The F(8)=21 is the correct answer.

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Answer: 101

Step-by-step explanation: 1+5x20 then 100+1= 101

Answer:

16428 oranges

Explanation:

Total yield = number of trees × number of oranges in each tree

Initial yield = 600×24= 14400 oranges

To find the equation needed, let x = additional trees and y= total yield

Number of trees = 24 +x

Number of oranges in each tree = 600-12x

Equation of total yield y= (24+x)(600-12x)

y= 14400-288x+600x-12x²

y= -12x²+312x+14400

Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a

A quadratic equation is such: ax²+bx+c

Therefore x =-312/2×-12

x= -312/-24

x= 13

So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:

24+x=24+13= 37 trees in total

y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400

=16428 oranges in total yield

The number of trees that gives the most yield is 37

The given parameters are:

Represent the additional number of trees with x.

So, we have:

The equation that represents the total yield (y) becomes

\(y = (24 + x) \times (600 - 12x)\)

Expand

\(y= 14400-288x+600x-12x\²\)

Evaluate the like terms

\(y= 14400+312x-12x\²\)

Rewrite as:

\(y= -12x\²+312x+14400\)

Differentiate

\(y'= -24x+312\)

Set to 0

\(-24x+312 = 0\)

Solve for x

\(-24x=-312\)

\(x=13\)

Recall that:

Trees per acre = 24 + x

This gives

\(Trees = 24 + 13\)

\(Trees = 37\)

Hence, the number of trees that gives the most yield is 37

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Answer:

517x

Step-by-step explanation:

the product of a number and 517 is 517x

517 × x = 517x

Answer: a=101 b=79 c=83 d=97

Answer:

ok soooo whats the question like bruhhhhhh i here to anwser now tell me the question

Step-by-step explanation:

His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

Answer:

13

Step-by-step explanation:

starting equation is 15=0.75(x)+5.

You have to have the numbers on one side so...

15-5=10, and 5-5=0.

now, our equation is 10=0.75(x).

we are looking for x, so....

10/.75= 13 and 1/3.

since there is no such thing as a third of a song, 13 would be our number.

Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

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The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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Answer:

1 1/5

Step-by-step explanation:

3/10 + 9/10

The denominator is the same so we can add the numerators

12/10

Rewriting

10/10 + 2/10

1 2/10

Simplify the fraction

1 1/5

Answer:

1.2 would be the decimal form to answer and in the fraction form it would be

6/5 or in a mixed number fraction 1 1/5

So 1 1/5 is your answer

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