the following are the populations for the top twelve largest cities in the u. s. new york city, ny: 8,336,817 los angeles ca: 979.576 chicago, il:2,693,976 houston, tx: 2,320,268 phoenix az: 1,680,992 philadelphia pa: 1,584,064 san antonio tx: 1, 547,253 san diego ca: 1,423,851 dallas tx: 1,343,573 san jose ca: 1,021,795 austin tx:978,908 jacksonvill fl: 911,507. what is the mean population?, what is the median population?, what is th emode?, what is range?, what is the standard deviation?

Answer:

Step-by-step explanation:

The absolute value of -6 is 6. Absolute value is the distance a number is from zero. For example -6 is 6 spaces away from zero.

Answer:

6

Step-by-step explanation:

The absolute value of a negative number is there positive, in this case being 6

Step-by-step explanation:

The given problem can be solved by using the properties of parabola.

The statements are true about the function and its graph are as follows;

The value of the function when f(-10) is 82.

The value of a is 1/5 which is positive then the parabola opens upward.

The graph contains the point (20, –8)

Given that,

Consider the quadratic function;

\rm f(x) =\dfrac{1}{5}x^2 -5x + 12.f(x)=51x2−5x+12.

We have to determine,

Which statements are true about the function and its graph?

According to the question,

The quadratic function;

\rm f(x) =\dfrac{1}{5}x^2 -5x + 12.f(x)=51x2−5x+12.

1. The value of the function when f(-10) is,

\begin{gathered}\rm f(x) =\dfrac{1}{5}x^2 -5x + 12\\\\f(-10) = \dfrac{1}{5}(-10)^2 -5(-10)+ 12\\\\ f(-10) = \dfrac{1}{5}(100) +50+ 12\\\\ f(-10) =20 +62\\\\ f(-10) = 82\end{gathered}f(x)=51x2−5x+12f(−10)=51(−10)2−5(−10)+12f(−10)=51(100)+50+12f(−10)=20+62f(−10)=82

The value of the function when f(-10) is 82.

2. The graph of the function opens down

.\rm f(x) =\dfrac{1}{5}x^2 -5x + 12.f(x)=51x2−5x+12.

The value of a is 1/5 which is positive then the parabola opens upward.

3.  The graph contains the point f(x) = 20,

\begin{gathered}\rm f(x) =\dfrac{1}{5}x^2 -5x + 12\\\\f(20) =\dfrac{1}{5}(20)^2 -5(20) + 12\\\\f(20) =\dfrac{1}{5}400 -100 + 12\\\\f(20) =80 -100 + 12\\\\f(20)= -20+12\\\\f(20)=-8\end{gathered}f(x)=51x2−5x+12f(20)=51(20)2−5(20)+12f(20)=51400−100+12f(20)=80−100+12f(20)=−20+12f(20)=−8

The graph contains the point (20, –8)

4. The graph contains the point f(x) = 0,

\begin{gathered}\rm f(x) =\dfrac{1}{5}x^2 -5x + 12\\\\f(0) =\dfrac{1}{5}(0)^2 -5(0) + 12\\\\f(0) =\dfrac{1}{5}0 -0 + 12\\\\f(0) =0 -0 + 12\\\\f(0)= 12\end{gathered}f(x)=51x2−5x+12f(0)=51(0)2−5(0)+12f(0)=510−0+12f(0)=0−0+12f(0)=12

The graph contains the point (0, 12).

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Answer:

a) 12×6=72 cm²

b) 3x6:2= 9 cm²

c) 3x6:2=9 cm²

d) 72-9-9= 54 cm²

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

8n-5

Step-by-step explanation:

Find the difference between the numbers, +8 so 8n then subtract the diffference from the first number so 3 - 8= -5

The expression will be 8n - 5

Answer:

Step-by-step explanation:

Use the formula for the cos of an angle:

\(cos\theta=\frac{adj}{hyp}\)  where the adjacent side is the length of 4 and the hypotenuse is the "c" we are looking for. Setting up the equation:

\(.33=\frac{4}{hyp}\)

Solve that equation for hyp to get:

\(hyp=\frac{4}{.33}\)

Dividing that gives us that hyp (aka "c") = 12.121212...

c ≈ 12.12 (approximate value of side c in the right triangle).

Recall that in a right triangle, the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

In this case, cos B = 0.33.

We are given the length of the adjacent side, a, which is 4 units.

Use the equation cos B = a/c and rearrange it to solve for c:

cos B = a/c

Multiply both sides by c: c * cos B = a

Divide both sides by cos B: c = a / cos B

Substitute the values we have: c = 4 / 0.33.

Calculate the value of c using a calculator or by performing the division:

c ≈ 12.12.

Therefore, the length of side c in the right triangle is approximately 12.12 units.

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Answer:

The answer to the question provided is \( \frac{9}{16} \)

Answer:

-27÷(-3)-9

=0

Step-by-step explanation:

Hope this helps you.

The value of the sides are;

x = 6

HW = 37

AM = 32

WM = 44

It is important to note that one of the properties of an isosceles trapezoid is that the non-parallel sides are equal to each other.

From this deduction, we then have;

HW = AM

Given that;

HW = 6x + 1

AM = 3x + 19

Equate the lengths

6x + 1 = 3x + 19

collect the like terms

6x - 3x = 19 - 1

3x = 18

Make 'x' subject

x = 6

Then, HW = 37 and AM = 37

Substitute the value of x in

HA = 6x - 4 = 32

WM = 4x + 20 = 44

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The steps to sketch the graph of a rational function in the appropriate order is in the order: 1,4,2,3

The steps to sketch the graph of a rational function will be first to find the function's zeros and vertical asymptotes, and plot them on a number line, the second step is to choose test numbers to t the left and right of each of these places, and find the value of the function at each test number., the third step is to use test numbers to find where the function is a positive and where it is negative and the last step is to sketch the function's graph, plotting additional points as guides as negative.

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Place the steps to sketch the graph of a rational function in the appropriate order.

1)find the function's zeros and vertical asymptotes, and plot them on a number line.

2) use test numbers to find where the function is positive and where it is negative.

3) sketch the function's graph, plotting additional points as guides as negative.

4)choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.​

Answer:

  (x, y, z) = (3, -2, 4)

Step-by-step explanation:

The attachment shows a solution using a graphing calculator where the first equation is solved for z, and that expression is substituted into each of the other two equations. The solution to that system is (x, y) = (3, -2). Using these values in the expression for z, we find ...

  z = 5 -(3 +(-2)) = 4

The solution is (x, y, z) = (3, -2, 4).

__

Your graphing calculator and/or online tools can give you the reduced row echelon form of the augmented matrix representing the system:

  \(\left[\begin{array}{ccc|c}1&1&1&5\\-3&-4&4&15\\2&-1&-4&-8\end{array}\right]\)

__

If you're solving by hand, you can do the substitution described above to eliminate z from one equation. You can eliminate z from another equation by adding the last two:

  -3x -4y +4(5 -x -y) = 15   ⇒   -7x -8y = -5

  (-3x -4y +4z) +(2x -y -4z) = (15) +(-8)   ⇒   -x -5y = 7

This pair of equations can be solved for x and y in any of the usual ways. Using the second equation to substitute for x, for example, gives you ...

  -7(-5y -7) -8y = -5   ⇒   27y = -54   ⇒   y = -2

  x = -5(-2) -7 = 3

  z = 5 -(3) -(-2) = 4

_____

Additional comment

If all that is needed is a solution, we prefer a graphical or matrix approach. These take about the same amount of time. Both require a little additional effort to determine exact values when the solutions are not integers.

Answer:

3x + 9

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

find the slope of a line from a graph following those steps

-pick any two points on the graph that belong to the line,

for example (1,1) and (2,3)

-find out how did you get from one point to the other

to get from (1,1) to (2,3) I went 2 up (rise) and 1 to the right (run)

slope= rise /run = 2/1 =2

Few things to keep in mind:

-To find the slope, always move vertical first (y-axis) and than horizontal( x-axis) , because m=change in y/change in x

-For vertical movement, moving up is positive , moving down is negative

For horizontal movement, moving right is positive , moving left is negative

\(101c - 5c + 4c = 100c \\ \\ 12q - 4 + 10q - 4q + 9 \\ 12q + 10q - 4q - 4 + 9 \\ 18q + 5 \\ \\ 21k - 20k + 3k = 4k \\ \\ 181x + 91x - 23x = 249x\)

Answer:

The numerator must be greater than 16

Step-by-step explanation:

We are told that a certain fraction is greater than 2. Thus, if the numerator and denominator are x and y respectively, then we have;

x/y > 2

We are further told that the denominator is 8.

Thus;

x/8 > 2

Multiply both sides by 8 to give;

x > 16

Thus,the numerator must be greater than 16.

Answer:

D

Step-by-step explanation:

It isn't linear

Answer:

D)

Step-by-step explanation:

Linear graphs are straight they can be positive or negative but they do not have bending points in them.

I added a picture to help you

Answer:

the perimeter of the rectangle is 26 meters.

Step-by-step explanation:

To find the perimeter of the rectangle, we need to know its width. We can find the width by dividing the area by the length:

width = area / length = 36 / 9 = 4 meters

Now we can use the formula for the perimeter of a rectangle:

perimeter = 2(length + width)

Substituting the given values, we get:

perimeter = 2(9 + 4) = 2(13) = 26 meters

Therefore, the perimeter of the rectangle is 26 meters.

Answer:

48

Step-by-step explanation:

Do 60*.80

60 represent the total points the test was worth

.80 represents the % number

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

100% = 60

80% = 48

The points Salema earned are 48 points.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Salema's score = 80%

Total score in the test = 60 points

Salema's score.

= 80% of 60 points

= 80/100 x 60

= 48

Thus,

The points Salema earned are 48 points.

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Answer:

the weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching

Step-by-step explanation:

This is the word for word answer but be careful and don´t copy it exactly!! paraphrase the answer using your own words

Starting with the given equation: 2 sin x cos x = cos x

By dividing both sides by cos x, we may simplify: 2 sin x = 1

Dividing both sides by 2:

sin x = 1/2

The values of x that fulfil sin x = 1/2 must now be found, and they are:

x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.

Therefore, the general solution is:

x = π/6 + 2πn or

x = 5π/6 + 2πn, where n is any integer.

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Answer:

explanation below

Step-by-step explanation:

f(x) = −3/2(x+1)(x−5) = -3/2 (x²-4x-5) = -3/2 (x²-4x+4-9) = -3/2 ((x-2)² - 9)

f(x) = -3/2 (x-2)² + (-3/2)*(-9) = -3/2 (x-2)² + 13.5

There are points to be referenced for the graph:

vertex (2 , 13.5)     axis of symmetry: x = 2

roots: (-1 , 0) (5 , 0)

-3/2 : curve downward

The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

what is piecewise function?

A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.

We have to evaluate the piecewise function for x = -1 and x = 9.

Let, function has value for x = -1 in the domain x ≤ 5 which is 11.

And function has value for x = 9  in the domain 6 < x which is 1.

⇒  f(-1) = 11 and f(9) = 1

Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

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Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

Answer:

it is the 1st one

Step-by-step explanation:

because you have to add up all three sides  because you need 180 then subtract that answer from 180 and you will get your answer