Cameron lives in Charleston, South Carolina. In his research, he found that the population was 10,050 in year 2000 and in 2007, the population was 23,000. What is the predicted population for 2014?

Answer:

121.23

Step-by-step explanation:

When you enter the equation, you get 121.225.  The hundredths place is 2 decimal places.  You need to determine if the 5 will make the 2 go up or down.  5 or more, raise the score, 4 or less, let it rest.  Since it is a 5, you will round up.  

The measure of the diagonal of the rectangular garden will be 7.2 feet. Then the correct option is a.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the centre.

Landon has a rectangular garden with an area of 24.7 square feet. If the length of the garden is 5.7 feet.

Then the width of the garden will be

Area = Length x Width

24.7 = 5.7 x  W

 W = 4.33

Then the measure of the diagonal of the rectangular garden will be

D² = L² + W²

D² = 5.7² + 4.33²

D² = 32.49+ 18.74

D² = 51.23

D = 7.2

D ≅ 7.2 feet

Thus, the correct option is a.

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Answer:

i think b

Step-by-step explanation:

could be wrong sorry

Answer:

-2x²(x + 1)(x - 4)

Step-by-step explanation:

Hello!

Factor:

Think: What numbers add up to -3 and multiply to -4?

Answer: -4 and 1

Continue:

The complete factored form is -2x²(x + 1)(x - 4)

Answer:

1345.01694448 days

Step-by-step explanation:

24 weeks = 24 x 7 = 168 days

24 months = 24 x 30 x 7 =  168 x 7 = 1176 days

24 seconds = 0.000277778 days

24 minutes = 0.0166667 days

24 hours = 1 day

Total = 1345.01694448 days

Answer:

C. (0.9, 0.3)

Explanation:

[tex]\rightarrow \sf \dfrac{1}{4^{x}} = \log(2x)[/tex]

The above given equation is critical to solve algebraically thus they have mentioned to solve it using a technology - graphing calculator.

They meet each other at: (0.9371, 0.2728)   [tex]\sf \underset{ solution }{ \xrightarrow{ \text{ nearest tenth } } }[/tex]  (0.9, 0.3)

Let's graph both

Graph attached

Solution

The odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

In probability, the term odds against is the ratio of probability of non occurring a favorable event to the probability of occurring a favorable event. It can be given as,

[tex]\text{odd against}=\dfrac{P(\overline A)}{P(A)}[/tex]

Here, [tex]P(\overline A)[/tex] is the probability of not occurring a favorable event, and P(A) is the probability of occurring a favorable event.

A juice company gives the prizes to anyone finding specially marked caps on its juice bottles. The 4 bottles have winning cap in 20 bottles. Thus, the probability of winning is,

[tex]P(A)=\dfrac{4}{20}\\P(A)=\dfrac{1}{5}[/tex]

The probability of not winning is,

[tex]P(\overline A)=1-\dfrac{1}{5}\\P=\dfrac{4}{5}[/tex]

Thus, the odd against the winning is,

[tex]\text{odd against}=\dfrac{\dfrac{4}{5}}{\dfrac{1}{4}}\\\text{odd against}=\dfrac{16}{5}\\\text{odd against}=3.2[/tex]

Thus, the odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

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There are 595 handshakes at maximum.

Every finite undirected graph, the number of vertices that touch an odd number of edges is even.

given that:

Number of participants in a party = 35

Now,  By "handshake lemma":

number of shakes that would be

=n(n-1)2

=35(35-1)/2

=35*34/2

=35*17

= 595

Hence, there are 595 handshakes at maximum.

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Answer:

After 7 days there are the same number of both calendars left in the store

Step-by-step explanation:

Let x be defined by the number of days,

41 total, 3 Ocean calendars sell each day

48 total, 4 Space calendars sell each day

expression: 41 - 3x = 48 - 4x

- we set them equal to find when x amount days are the same for both calendars

- we subtract due to selling each calendars

solving:

41 - 3x = 48 - 4x                      

add 4x to both sides, trying to get like terms on the same side

41 - 3x + 4x = 48 - 4x + 4x

41 + x = 48

now subtracts 41 from both sides to get x alone

41 - 41 + x = 48 - 41

x = 7

Answer:

Step-by-step explanation:

1. Y-axis (the vertical one) is money

2.X-axis (the horizontal one) is days

What else do u need?

Answer:

See answers below

Step-by-step explanation:

Y-axis =    account balance  ( starts at 48 dollars)

X axis =     days

-3x+ 48             for  x <= 5

33                     for     5 <x  <= 10

-1.5 (x-16)+ 24   for    10< x <=  32

The vertical asymptote is x = 1 and the horizontal asymptote is y = -1 if the equation of the hyperbola is f(x)=−3/x−1 −1

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have the equation of the hyperbola:

[tex]\rm f(x)=\dfrac{-3}{x-1} -1[/tex]

The asymptotes will be

Vertical asymptote:        x -1 = 0 ⇒ x = 1

Horizontal asymptote:   y + 1= 0 ⇒ y = -1

Thus, the vertical asymptote is x = 1 and the horizontal asymptote is y = -1 if the equation of the hyperbola is f(x)=−3/x−1 −1

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Answer:

B.7 cubic units

Step-by-step explanation:

If each block is 1 cubic unit, you can count the blocks

There are 7 blocks so there are 7 cubic units

Answer:

A. y= -2x-3

Step-by-step explanation:

multiply the parenthasis by -2 to get -2x-8 then add 5 to both sides with equals y= -2x-3

about Answer: The correct answer would be d) 5x - 1

Step-by-step explanation:

Simplify or Evaluate the expression and Combine like terms

3(-5x + 2) + 20x - 7

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Answer:

Step-by-step explanation:

Let mPEQ = x and mPQ = y

The angle between two tangents is half the difference between the major and minor arcs.

The sum of same arcs is full circle

Simplify the first equation

Add up with the second one and solve for x

Find the minor arc measure

Answer:

it 25,000

Step-by-step explanation:

if u multiply 50x500 it will give u 25,000 hope this works

Answer:

Step-by-step explanation:

The value of √-4 and not -2 because

-2 * -2 = + 4.

Also there is no real number whose square is a negative.

Hi Student!

This question can seem quite complex but it has a simple explanation.  Just imagine, what is the purpose of a square root?  It shows what can by multiplied against itself and produce the number that is in the square root.  That is why when we take the square root of 4 we get 2 and -2 because they both produce the number 4 when we square them.  Whenever we square a number, no matter if it's positive or negative, the answer will always be positive.  This is because in order to get a negative number only one can be negative to overcome the positive otherwise it's just a double negative.

Therefore, there is a solution to the question of what is the square root of -4.  What we do is practically take out the negative because the square root of -1 is equal to i.  So we take the following steps

Separate the square root

Simplify the expression

Looking at what we have done, we see that although the explanation behind it might seem complex the actual solving portion isn't too hard when explained.  Therefore, the solution to the square root of -4 would be 2i.

The expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given trigonometric expressions is,

[tex]f(\theta)=\cos\theta[/tex]

The cosine function is the periodic function. The function repeats itself after the 2π. Thus,

[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(2\pi+\theta)[/tex]

The cosine function is an even function. Thus,

[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(-\theta)[/tex]

Thus, the expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)

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Answer:

Option D

Step-by-step explanation:

The y-value of the two points is unchanged. So, the line is parralel to x-axis.

The distance will be the diffrence between the x-co ordinates.

[tex]\sf Distance = 1 - (-2\dfrac{1}{2})[/tex]

             [tex]\sf =1+\dfrac{5}{2}\\\\= \dfrac{2}{2}+\dfrac{5}{2}\\\\=\dfrac{7}{2}\\\\=3\dfrac{1}{2}[/tex]

The surface area of the figures are;

Rectangle = 36.2 yd^2

Cuboid = 200 ft^2

Parallelogram = 27.8 cm^2

Cylinder = 138 yd^2

We can be able to obtain the surface area of various figures by the use of formulas.

For the rectangle, the surface area is = 7.1 yd * 5.1 yd = 36.2 yd^2

For the cuboid, the surface area = 2[(8 ft * 14 ft) + (4 ft * 8ft) + (14ft * 4 ft)] = 200 ft^2

For the parallelogram, the surface area = 5.4 cm * 5.14 cm = 27.8 cm^2

For the cylinder, the surface area is; (2 * 3.14 * 4^2) + (2 * 3.14 * 4 * 6) = 138 yd^2

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Answer:

50

Step-by-step explanation:

I got you this the answer

The required result of the division can be written as:

1258 ÷ 24 = 52 R 14, where R 14 means "52 with a remainder of 14".

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

When you divide 1258 by 24, the result is a whole number with a remainder.

To find the result of this division, you can use a long division.

24 ) 1258 (52

    -   120

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

       58

    -  48

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

        14

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

So, 1258 divided by 24 is equal to 52 with a remainder of 14.

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Answer:

the mean in all of the numbers added together devided by how many numbers there are so it would be 8.4, and the median is the middle so it would be 9.

Step-by-step explanation:

your welcome

Answer:

C. They are both symmetric about the mean.

D. Data Set B is more spread out than Data Set A.

Question :

Data Set A is a normal distribution with mean 20 and mean absolute deviation 2. Data Set B is a normal distribution with mean 10 and mean absolute deviation 4. Which best describes the data sets? Select all that apply.

A.They are both identical.

B. They both have the same median.

C. They are both symmetric about the mean.

D. Data Set B is more spread out than Data Set A.

Step-by-step explanation:

x² - 12x + 32 = 0

the goal is the vertex form : a form like

(x - h)² + k = r²

with (h, k) being the vertex or center and r the radius.

doing all the multiplications we get

x² - 2hx + h² + k - r² = 0

and we compare this with our original equation. we see

x² = x²

-12x = -2hx

-12 = -2h

6 = h

32 = h² + k - r²

32 = 36 + k - r²

-4 = k - r²

possible solution : k = 0 and then r = 2

but also e.h. k = 12, r = 4

so, without the information about e.h. the radius we cannot identify one solution.

so, "A" vertex form (one of many possible ones) is

(x - 6)² = 4

Step-by-step explanation:

a.

x = number of matching questions

y = number of essay questions

x >= 3

x <= 12

y >= 4

y <= 15

x + y <= 20

the delimiter lines are therefore

x = 3

x = 12

y = 4

y = 15

y = 20 - x

when you graph these lines, the corners (intersection points) of the inner shaded area are

(3, 4)

(12, 4)

(3, 15)

(12, 8)

(5, 15)

the other intersection points

(12, 15)

(3, 17)

(16, 4)

are outside the inner shaded area.

b.

10x + 25y = score

and this we want to maximize.

we have to try the 5 corners from a. and see, which one gives the maximum score.

(3, 4) gives

10×3 + 25×4 = 30 + 100 = 130

(12, 4) gives

10×12 + 25×4 = 120 + 100 = 240

(3, 15) gives

10×3 + 25×15 = 30 + 375 = 405

(12, 8) gives

10×12 + 25×8 = 120 + 200 = 320

(5, 15) gives

10×5 + 25×15 = 50 + 375 = 425

that is the most.

so, Phil should do 5 matching questions and 15 essay questions for maximum score.

Answer:

Looking at the given points we know that it is going to be a triangle because it only have 3 points.  Therefore the figure is a triangle and the area formula would be [tex]A=\frac{1}{2}*b*h[/tex].

You can look at the attached graph and what we see is that our height of the triangle is from [tex]y=-3[/tex] to [tex]y=4[/tex] which means that our height is 7 units high.  We can also see that our base starts at [tex]x=-4[/tex] and ends at [tex]x=4[/tex] making us have a base of 8 units.

We then plug in the values and solve

[tex]A = \frac{1}{2}*7\ units * 8\ units[/tex]

[tex]A = \frac{1}{2}*56\ units^2[/tex]

[tex]A = 28\ units^2[/tex]

Therefore, the area of our triangle is [tex]28\ units^2[/tex]

Hope this helps!  Let me know if you have any questions

x = 15 is in fact a solution of the given inequality.

Here we have the inequality:

x + 9 > 21

We want to see if it is true for x = 15, to check it, we need to repace the value:

15 + 9 > 21

24 > 21

This is true, 24 is larger than 21, then we conclude that x = 15 is a solution of the given inequality.

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