A=-4.5-2. B=0-3.5 a) What are the coordinates of A?
b) What are the coordinates of B?

Answer:

The answer is 73.0 or just 73

x= −2 and y=3

I can't explain this very well, sorry.

The size of the population increases when the growth rate is positive and

decreases for a negative growth rate.

The completed table is presented as follows;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]

Reasons:

The table is presented as follows;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]

The population in growth rate is given by the following formula;

P = a·(1 + r)ˣ

Where;

a = The initial population in 2003 = 40.5 million

P = The population in 2029 = 20.9 million

x = The number of years = 2029 - 2003 = 26

Therefore;

20.9 = 40.5 × (1 + r)²⁹

[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]

[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]

The population growth rate is r ≈ -0.02255 = -2.255 %

The completed table is therefore;

[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]

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The answer will be:-  x = 1

Residuals are used to determine how the line of best fit relates to the data points

A residual value of -0.8 means, the point is 0.8 units above the line of best fit

The residual value is given as:

[tex]\mathbf{Residual = -0.8}[/tex]

When the residual value is less than 0 (i.e. negative), then the point is above the line of best fit.

So, the interpretation of a residual value of -0.8 is that, the point is 0.8 units above the line of best fit

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3⅕ - ¼x = -⅘

-¼x = -⅘ - 3⅕

-¼x = -4 / · (-4)

x = 16

Answer:

0.54

Step-by-step explanation:

54 space 2 times is 0.54

Given pair of linear equations in two variables are :

7x-3y = 8------------(1)

3x-4y = 1-------------(2)

On multiplying (1) with 3 then

21x-9y = 24 ---------(3)

On multiplying with 7 then

21x-28y = 7 ----------(4)

On subtracting (4) from (3) then

21x-9y = 24

21x-28y = 7

(-) (+) (-)

__________

0+19y = 17

__________

→ 19y = 17

→ y = 17/19

On substituting the value of y in (2) then

→ 3x-4(17/19) = 1

→ 3x -(68/19) = 1

→ (57x-68)/19 = 1

→ 57x-68 = 1×19

→ 57x -68 = 19

→ 57x = 19+68

→ 57x = 87

→ x = 87/57

Therefore, the value of x and y is 87/57 and 17/19 respectively.

The point on the line where the simplified unit rate or slope is True will be the opposite vertex of a slope triangle if one vertex is at (0,0).

A slope triangle is a hypothetical triangle that aids in determining a line's or line segment's slope. The line whose slope you are interested in learning is the triangle's hypotenuse (the diagonal). The "rise" and "run" terms used in the slope formula are the two "legs" of the triangle. Rise/run is a slope.

The slope of a triangle with a slope is positive if the hypotenuse slopes uphill from left to right. The slope of a slope triangle is negative if the hypotenuse slopes downward from left to right.

This is the Greek letter delta, which stands for change. It can be applied to math or simply to make a statement shorter.

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Answer:

Step-by-step explanation:

Answer:

0.57 or 0.56

Step-by-step explanation:

passenger fares + tax revenue = operating costs

Thus:

passenger fares = operating costs - tax revenue

= $69 million - $30 million

= $39 million

The ratio of passenger fares to total operating costs is:

$39 million

= 0.5652.

$69 million

To the nearest hundredth, the farebox recovery ratio is 0.57.

The circumference of a circle is the total length of the boundary of the circle. So that the length of lace trim required is 597.1429 cm.

The diameter of the table is 60 cm, which has 65 cm tablecloth hanging on its sides. The diameter of the cloth required would be the length from one side to the other side. So that the total diameter of the tablecloth is:

= 60 cm + 2*65 cm

= 60 cm + 130 cm

= 190 cm

The diameter of the tablecloth required is 190 cm.

Thus to determine the circumference of the tablecloth, we have;

C = 2[tex]\pi[/tex]r

   = [tex]\pi[/tex]D

where D is the diameter of the tablecloth.

C = [tex]\frac{22}{7}[/tex] x 190

   = 597.1429

C = 597.1429 cm

Therefore, the length of lace trim required for the edge of the tablecloth is 597.1429 cm.

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Answer:

0

Step-by-step explanation:

Sin 30° = ½

Cos 30° = √3/2

Sin 60° = √3/2

Cos 60° = ½

Therefore,

(½ + √3/2) - (√3/2 + ½)

[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]

[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]

[tex] \frac{0 - 0}{2} [/tex]

Answer: 0

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The values of a and b from the given complex numbers is 8 and -3 respectively.

The standard form of representing complex number is expressed as z = x + iy

Given the complex numbers z = 8 – 3i, and z2 = a + bi

To get the values of a and b, we need to compare both expressions as shown:

For the real part;

a = 8

For the imaginary part:

-3i = bi

-3 = b

Swap

b = -3

Hence the values of a and b from the given complex numbers is 8 and -3 respectively.

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Answer:

B) -7/2

Step-by-step explanation:

You would have to convert to slope-intercept form.

[tex]y=mx+b\\[/tex]

7x+2y=5

2y= -7x+5

y= -7/2x+5/2,

m= -7/2 = slope

Answer:

Step-by-step explanation:

Area of a circle = πr², plug in r= 3, we get:

                      A = π(3)²

                      A = 9π  or 28.26 in³(if the π is calulate as 3.14)

Answer:

Rr = 51 : 68

Step-by-step explanation:

Answer:

x<4

Step-by-step explanation: brainlieast plz

Answer:

Liam's work is correct

Step-by-step explanation:

25 is a percent so should always write in fraction form

25/100

then you find what number multiply by 25 gives 150

which is 6, so you do the same on the bottom

which is 600

or 150 ÷ 25/100 which also gives 600

so 600 is the number

d ≥ -7     ?  (ignore.....................................................................................................................................)

Applying the leg rule, the value of z in the right triangle given is: √30 units.

The leg rule states that, hypotenuse/leg = leg/part.

Given the following:

Plug in the values into the leg rule:

10/z = z/3

z² = (10)(3)

z² = 30

z = √30 units

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Answer:  275 tires

Step-by-step explanation:

0.60X = 165  [One salesman sold 60% of the tires sold.  X is the tires total sold]

X = 275 tires

Answer:

3

Reasoning:

[tex]3(5+3)=15+9[/tex]

Distribute three to the numbers to get 15+9.

Answer:19.2

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

pq is the same as p x q.

then substitute into the above equation 2.4 x 8= 19.2 as a decimal and a whole number

Answer:

1/4, 3/5

Step-by-step explanation:

0.8/3.2=8/32=1/4

0.3/0.5=3/5

Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.

In the function:

Talisa's expression is given by:

[tex]f(x) = 12x[/tex]

The cost of using a game facility is $1 for every 12 minutes, hence, the cost per minute is:

[tex]c = \frac{1}{12}[/tex]

And the correct expression for the cost is:

[tex]f(x) = \frac{x}{12}[/tex]

Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.

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