Evaluate the six trigonometric functions of (the angle in standard position) with the Point
(15,-3) on the terminal side of the angle.

Answer:

100 miles

Step-by-step explanation:

Given :

To work :

speed = 50mph

Let time taken = x

From work :

speed = 40mph

30 minutes = 30/60 = 0.5

Time taken = x + 0.5

Distance from home to work :

Distance = speed * time

To work distance = from work distance

This can be algebraically expressed as :

50 * x = 40(x + 0.5)

50x = 40x + 20

50x - 40x = 20

10x = 20

x = 20/10

x = 2

Hence,

Distance = 50 * 2 = 100

The the distance from home to work = 100 miles

The distance from Michael home to work is 100 miles

Speed is the ratio of the total distance travelled to the total time taken. It is given by:

Speed = distance / time

Let d represent the distance from Michael home to work. Hence:

He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:

d/50 = (d - 20) / 40

40d = 50d - 1000

10d = 1000

d = 100 miles

The distance from Michael home to work is 100 miles

Find out more on speed at: https://brainly.com/question/4931057

Answer:

2)

[tex]2x + 6x + 8 = 32[/tex]

collect like terms

[tex]8x + 8 = 32[/tex]

move the constant to the right hand side and change its sign.

[tex]8x = 32 - 8[/tex]

Subtract the numbers

[tex]8x = 24[/tex]

Divide both sides of the equation by 8

[tex]x = 3[/tex]

Answer:

Take 8÷3.5. So the answer is aprominently 2.29.

Answer: 713 cg

Step-by-step explanation:

1 g = 100 cg

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

Given

7.13 g = ? cg

Solve

7.13 × 100 = 713 cg

Hope this helps!! :)

Please let me know if you have any questions

Answer:r

Step-by-step explanation:

Answer:

54 republicans

50 democrats

Step-by-step explanation:

x=republicans

y=democrats

x+y=104

x=y+4

substitute for y

y+4+y=104

simplify

2y=100

y=50

x=54

Answer: i believe it'll take 6 gallons to fill up the tank two thirds full

Step-by-step explanation: 3 x 1 x 2 = 6 gallons

Step-by-step explanation:

m<2= 180-90-41= 49°

m<4=90°

m<5=41

m<9=36°

Answer:

Domain: (-∞, ∞)

Range: (-∞, ∞)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, we see our x-values span from negative infinity to positive infinity:

Interval Notation - (-∞, ∞)

Inequality Notation - ∞ < x < ∞

According to the graph, we see our x-values span from negative infinity to positive infinity:

Interval Notation - (-∞, ∞) or all real numbers

Inequality Notation - -∞ < y < ∞

Answer:

(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is given by:

[tex]V_R = A_{b}*h[/tex]

In which [tex]A_b[/tex] is the base area and h is the height.

Volume of a pyramid:

[tex]V_P = \frac{A_{b}*h}{3}[/tex]

Relation:

From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.

A rectangular prism has a volume of 198 cm³

So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.

The correct answer is given by option B.

Answer:

524,288

Step-by-step explanation:

1. 8

2. 8 x 4 = 32

3. 32 x 4 = 128

4. 128 x 4 = 512

5. 512 x 4 = 2,048

6. 2,048 x 4 = 8,192

7. 8,192 x 4 = 32,768

8. 32,768 x 4 = 131,072

9. 131,072 x 4 = 524,288

Answer:

Step-by-step explanation:

slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]=\frac{-5-5}{9-8}\\\\=\frac{-10}{1}\\\\=-10\\[/tex]

Point-slope form:

y - y1 = m(x - x1)

y - 5 = -10(x - 8)

Answer:

28% of 0.392=0.10976

Step-by-step explanation:

1. We assume, that the number 0.392 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 0.392 is 100%, so we can write it down as 0.392=100%.

4. We know, that x is 28% of the output value, so we can write it down as x=28%.

5. Now we have two simple equations:

1) 0.392=100%

2) x=28%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

0.392/x=100%/28%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

Solution for what is 28% of 0.392

0.10976

Answer:

Nothing.

Step-by-step explanation:

I believe you needed a picture.

Answer:

B)  -1,-4,-7,-10,........

The first five terms

-1,-4,-7,-10,........

Step-by-step explanation:

Explanation:-

Given that the explicit rule

           [tex]a_{n} = -3n +2[/tex]

Put n=1  

   ⇒ a₁ = -3(1) +2

       a₁  = -1

Put n=2

⇒  a₂ = -3(2)+2

      a₂ = -6+2

     a₂  = -4

Put n=3

  a₃ = -3(3)+2

  a₃ = -9+2

 a₃ = -7

Put n=4

a₄ = -3(4)+2

a₄ = -12+2

a₄ =-10

The first five terms

-1,-4,-7,-10,........

Answer

so its 2 and 24

Step-by-step explanation:

Answer:

the 18th term is 71

Step-by-step explanation:

The general form for any term "n" in an arithmetic sequence is:

a(n) = a1 + (n-1) * d

where "d" is the common difference.

So, in our case we have:

a(n) = 3 + (n-1) *4

Therefore, the 18th term will be:

a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71

Answer:

Quadrant 2

Step-by-step explanation:

Take a look at the picture I added it should help you on futures questions like this :)

Answer:

[tex]Solution,\\PQ = \sqrt{(1-3)^2+(3-1)^2} = \sqrt{2^2+2^2} = \sqrt{8} = 2\sqrt{2} \\P'Q' = \sqrt{(3-9)^2+(9-3)^2} = \sqrt{6^2+6^2} = \sqrt{72} = 6\sqrt{2}\\Also,\\RQ = \sqrt{(1-3)^2+(1-1)^2} = \sqrt{2^2} = 2\\R'Q' = \sqrt{(3-9)^2+(3-3)^2} = \sqrt{6^2} =6\\Again,\\PR = \sqrt{(1-1)^2+(3-1)^2} = \sqrt{2^2}=2\\P'R' = \sqrt{(3-3)^2+(9-3)^2} = \sqrt{6^2} = 6\\Here, P'R' = 3PR, P'Q'=3PQ ~and~ Q'R'=3RQ~\\In~other~words~each~side~of~triangle~P'Q'R' ~is~three~times~the~length~of~triangle~PQR.\\[/tex][tex]So,~the~algebraic~rule~of~diliation(enlargement)~is~(x,y)----(3x,3y)[/tex]

If my answer did not help you, comment below but please don't delete it.

Answer: 1 + y ≤ -13

Step-by-step explanation:

Answer:

mean= 0.65

standard deviation=[tex]\sqrt{\frac{0.65(0.35)}{100}[/tex]

Step-by-step explanation:

The mean of the sampling distribution is 0.65 and the standard deviation is approximately 0.004779.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The mean of the sampling distribution of the proportion of citizens who are registered to vote is equal to the proportion of all citizens who are registered to vote, which is 65% = 0.65.

The standard deviation of the sampling distribution is equal to the standard error of the proportion, which can be calculated as follows:

standard error = √((65% × 35%) / 100)

= √((0.65 × 0.35) / 100)

= √(0.0227 / 100)

= √(0.0000227)

= 0.004779

Therefore, the standard deviation is approximately 0.004779.

Learn more about the standard deviation here:

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Answer:

can i have brainliest i answered in the question spot

Step-by-step explanation

Answer:

First answer

Answer:

b

Step-by-step explanation:

if you subtract 5x then you will get y=-10-5x

Answer:

The model is [tex]P(t) = 2000(1.075)^{t}[/tex].

There will be 4122 fish in 10 years.

Step-by-step explanation:

Exponentially increasing population:

An exponentially increasing population can be represented by the following model:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.

A population of 2000 fish increases at an annual rate of 7.5%.

This means that [tex]P(0) = 2000, r = 0.075[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2000(1+0.075)^t[/tex]

[tex]P(t) = 2000(1.075)^{t}[/tex]

This is the model.

How many fish will there be in 10 years?

This is P(10).

[tex]P(t) = 2000(1.075)^{t}[/tex]

[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]

There will be 4122 fish in 10 years.