Use each model to predict the life expectancy of residents of a country for which the average annual income is $80,000

Answer:

488

Step-by-step explanation:

[tex]\dfrac{\tan t}{\cos t}\\\\\\=\dfrac{\tan t \cdot \cos t}{\cos t \cdot \cos t}\\\\\\=\dfrac{\sin t}{\cos^2 t}\\\\\\=\dfrac{\sin t}{1 - \sin^2 t}\\[/tex]

If 2 angles are formed on a line, then they make a supplementary / linear pair of angles, i.e, both the angles form 180°.

Here,

Angle A = 80°

Angle B = x°

So,

Angle A + Angle B = 180°

80° + x° = 180°

x° = 180° - 80°

x° = 100°

=》 Angle B = 100°

_____

Hope it helps ⚜

Answer:

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

Step-by-step explanation:

5y + 12 = [tex]\frac{-8}{y}[/tex]

y*(5y+12)=-8

5[tex]y^{2}[/tex] + 12y = -8

5[tex]y^{2}[/tex] + 12y + 8 = 0

Δ(Delta) = [tex]b^{2}[/tex] - 4ac

= [tex]12^{2}[/tex] - 4*5*8

= -16

Δ<0

therefore we have complex number

y = [tex]\frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{|Delta|} }{2a}[/tex]

[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]

Answer:

this is hard

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

(2.4×10³)×(3×10^x)=7.2×10^9

(3x10^x)=(7.2×10^9)/(2.4×10^3)

3×10^x=3×10^6

10^x=10^6

*when bases are same ,powers are equated*

thus x=6

Answer:

Step-by-step explanation:

A number is at least 65. It means the number n can be 65 or greater.

Its translation is:

The answer options don't have this included.

Let the number be n

Inequality:-

[tex]\\ \sf{:}\Rrightarrow n\geqslant 65[/tex]

Answer:

-1/2

Step-by-step explanation:

It is negative because of the direction the line.

It is one half because it rises one and runs two.

I hope this helps!

Answer:

The slope is -1/2

The slope intercept is 2

The form is y = 2 - 1/2x

Answer:

R = 3t/t₋1

Step-by-step explanation: I'm not sure if its correct.

Answer:

V = 4000 ft³

Step-by-step explanation:

if diameter is 20 then radius is half that, or 10

use formula:

V = 4/3(3)(10)³

V = 4(10)³

V = 4(1000)

V = 4000 ft³

Answer:

ang hirap naman plss answeer

Answer:

Step-by-step explanation:

The value -105 is the coefficient of x.

The slope is most easily read from the equation when it is in slope-intercept form. In that form, the slope is the coefficient of x. You could say Kim forgot to write the equation in slope-intercept form.

When the equation is written in that form, it becomes ...

  165 -105x +3y = 0

  165 -105x = -3y . . . . subtract 3y

  -55 +35x = y . . . . . . divide by -3

  y = 35x -55 . . . . . . in slope-intercept form

The correct slope is 35.

Hi there!

Since this is a one-step equation, we can solve it in one step.

This step is multiplying both sides by 4 to isolate x:

x=16*4

x=64

Therefore, x=64.

Hope it helps!

~GracefulGirlie

Good luck. :)

Answer:

X = 64

Step-by-step explanation:

x/4 = 16

Multiply both sides by 4

x = 16 x 4

Multiply 16 and 4 equals 64

I used the Microsoft math solver app, if this answer is correct you can use it as a tool for future math problems. I used it a lot in my math class. Hope this helps :)

Answer:

y = -6x + 70

Step-by-step explanation:

Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.

Answer:

The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.

For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.

For p=5/36, that's

(536)25+636=2511⋅36,

and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is

836+236(2511+1610+99)=244495=12−7990≈12−0.007.

Step-by-step explanation:

Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:

p(4)=336+2736p(4),so thatp(4)=13.

Repeat this reasoning for the other outcomes and then compute the total probability of winning as:

ptot=836+336p(4)+436p(5)+…

Answer:

I dont really know if this is right, but for 5, y=5. I don't know what 6 is. Sorry.

Answer:

Parallel: a and b

Perpendicular: none

Step-by-step explanation:

You are given the coordinates of each line.

To check if they are parallel or perpendicular, need to find slope.

In this case we can use :

m = (y2 - y1) / (x2 - x1)

So for line a:

(1,5) and (-2, -4)

slope = (-4 - 5) / (-2 - 1)

slope = -9/-3

slope = 3

Line b:

(3, 2) and (1, -4)

slope = (-4 - 2)/(1 - 3)

slope = -6/-2

slope = 3

Line C:

(6, 1) and (-4, 2)

slope = ( 2 - 1) / ( -4 -6)

Slope = 1/ -10

slope = - 1/10

Line A and B are parallel because their slopes are the same.

To check if they are perpendicular, we need to know if their slopes are reciprocals.

Here none of them are perpendicular to each other

Answer:

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)

The two properties of equality that is needed to solve for the equation are addition property of equality and division property of equality.

Proof:-

In ∆XYZ and ∆VWZ

[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]

Hence

∆XYZ[tex]\cong[/tex](Side-Angle-Side)

Answer:

-10, -8

Step-by-step explanation:

a + b = -18

a * b = 80

Solve:

from the first eq.

a = 18 - b

replacing this value in the secon eq.

(18-b)*b = 80

18*b + b*-b = 80

-b² + 18b = 80

-b² + 18b - 80 = 0

b = {-18±√((18)² - (4*-1*-80))] /(2*-1)

b = {-18±√(324.320)} / -2

b = {-18±√4} / -2

b = {-18±2} / -2

b₁ = {-18-2} / -2 = -20/-2 = 10

b₂ = {-18+2} / -2 = -16/-2 = 8

The two number must be negatives, so the numbers are:

-10 and -8

Check:

-10 + (-8) = -10 - 8 = -18

-10*-8 = 80

Answer:

184 boxes

Step-by-step explanation:

Hope it helps:)

This is right answer because option d only shows that y are multiples in sequence but this answer shows the correct sequence

A is correct! Our base number is 9 since it's at x = 0. The number gets smaller as x increases, so it will be 1/3 instead of 3.

Hope this helps :)

Answer:

Step-by-step explanation:

Conclusion:

Therefore:

Hoped this helped.

[tex]GeniusUser[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer: 49/30 or, 1 19/30

Answer:

x=-3, y=4.5

Step-by-step explanation:

Answer:

well -5.5 is the left side of the graph then goes up 3 y which brings you to the -x positive y quadrant or the top left quadrant which is quadrant 2