What is the recursive formula for the sequence defined by the explicit equation an = -6 + 3n?​

Answer:

1 hour and 20 minutes

Step-by-step explanation:

If 4 people take 3 hours, 1 person will take 4 times as long. This is 4*3=12 hours. If 9 people do it, it will take 1/9 of the time 1 person takes to do it, which is 12/9 = 1.3 recurring, or 1 and 1/3 of an hour.

Answer:

it takes 80 minutes

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Given the expression  sin(11pi/2 +x) =-1/2

Take the arcsin of both sides

sin⁻¹[sin(11pi/2 +x)] =sin⁻¹(-1/2)

11pi/2 + x = -30

x = -pi/6 - 11pi/2

Find the LCM

x = (-pi-33pi)/6

x = -34pi/6

x = -17pi/3

Since x is negative and sin is negative in the fourth quadrant

x =  - 17pi/2

x = -1530⁰+1440⁰ (scaling down the angle)

x = -90

x = 360 - 90 (fourth quadrant)

x = 270⁰

x = 270pi/180

x = 27pi/18

x = 3pi/2

Hence x the solution of x is 3pi/2

Answer:

B, 5pi/3

Step-by-step explanation:

edge 2020

Answer:

(fog)(x) = 2x² - 10x + 15

Step-by-step explanation:

Let us solve our question

∵ f(x) = 2x + 3

∵ g(x) = x² - 5x + 6

→ We need to compute (fog)(x)

∴ Substitute x in f(x) by g(x)

∵ (fog)(x) = 2(x² - 5x + 6) + 3

→ Multiply the bracket by 2

∵ 2(x² - 5x + 6) = 2(x²) - 2(5x) + 2(6)

∴ 2(x² - 5x + 6) = 2x² - 10x + 12

→ Substitute it in the composite function above

∴ (fog)(x) = 2x² - 10x + 12 + 3

→ Add the like terms 12 and 3

∴  (fog)(x) = 2x² - 10x + 15

Answer: See below

Step-by-step explanation:

The graph shows uniform motion. First of all, it travels with constant speed in the time interval of (0 to 1.25) hours. And secondly, it travels with constant speed in the time interval (1. 25 to 2.5) hours.

X=2

Step-by-step explanation:

4x=6

-4x.-4

x=2 so your answer Is x=2

Answer:

x = 3

Step-by-step explanation:

perimater

3 + 3 + 2x + 2x

6 + 4x

area

3(2x)

6x

substitute:

6x = 6 + 4x

-4x -4x

2x = 6

x = 3

Answer:

y=-1/2x+4

Step-by-step explanation:

Answer:

c. 3/2=10/x

Step-by-step explanation:

in a proportion, you want the same category of values in the same position. For example, the number of apples goes on top in each of the fractions, and the cost goes on the bottom. then solve for x.

Answer: 32 degrees

Step-by-step explanation:

Answer:

The answer is 24.78 m^2

Step-by-step explanation:

I did the test

The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters then the area of the walking path is 150.72 m²

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The formula for circumference of circle is 2πr

The area of circle is πr²

Area of large circle

Given:

circumference = 50.24 m

50.24 = 2 × 3.14 × r

r = 8 m

Therefore Area = 3.14 × 8²

= 200.96 m²

Area of small circle

Given circumference = 25.12 m

⇒ 25.12 = 2 × 3.14 × r

⇒ r = 4 m

Therefore Area = 3.14 × 4²

= 50.24 m²

Area of shaded path area = area of large circle - area of small circle

= 200.96 - 50.24

= 150.72 m²

Hence,  the area of the walking path is 150.72 m²

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The percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a garbage bin can hold 50 gallons of waste.

Waste (gal) = 5

Percentage = 5/50 ×100

= 10%

Waste (gal) = 30

Percentage = 30/50 ×100

= 60%

Waste (gal) = 45

Percentage = 45/50 ×100

= 90%

Therefore, the percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.

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AnTo divide mixed numbers Change each mixed number to an improper fraction.

Multiply by the reciprocal of the divisor, simplifying if possible.

Put answer in lowest terms.

Check to be sure the answer makes sense.

Step-by-step explanation:

Answer:

If u have mixed fractions, like [tex]3\frac{1}{2}[/tex], you will have to change it to improper fraction([tex]\frac{7}{2}[/tex]) to divide with ease.

let's give an example of how to divide fractions.

1. [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex]

Now, you will invert the numbers on the right side, and that will cause the division sign to change into multiplication sign.

[tex]\frac{2}{3} / \frac{1}{3} \\\\\frac{2}{3} X \frac{3}{1}\\\\2[/tex]

2. let's have another example:

[tex]2\frac{1}{3} / 3\frac{1}{2}\\\\\frac{7}{3} / \frac{7}{2} \\\\\frac{7}{3} X \frac{2}{7} \\\\\frac{2}{3}[/tex]

Answer:

362

Step-by-step explanation:

Answer:

(x+6)(x-3)

solve:

[tex]\sf x^2+3x-18[/tex]

the least common multiple of 1 and 18 is 18 : 6 * 3

[tex]\sf x^2+6x-3x-18[/tex]

breakdown

[tex]\sf x(x+6)-3(x+6)[/tex]

build parenthesis

[tex]\sf (x-3)(x+6)[/tex]

Answer:

x = 76

Step-by-step explanation:

-4(x-26) = -4x + 104

-4x + 104 = -200

-4x = -304

x = 76

The solution of the equation is x= 76.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given, equation –4(x – 26) = –200

–4(x – 26) = –200

-4x + 104 = -200

-4x = -200-104

-4x = -304

x = 304/4

x= 76

Therefore, the solution of the equation is x= 76.

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Answer:

Step-by-step explanation:

It starts out at 1.2 feet. In math, dilation means make larger or smaller, so I have to give you both answers. Check with your instructor to see what the question intends.

Larger

1.2 * 2.5 = 3

Smaller

1.2 / 2.5 = 0.48

Answer:

beef

Step-by-step explanation:

beef is the answer to everything

Answer: okay.

Step-by-step explanation:

Answer:

113

Step-by-step explanation:

c/b(cheeseburger)-2x

h/b(hamburgers)-x

2x+x=339

3x=339(divide both sides by 3)

x=113

Answer:

25

Step-by-step explanation:

The sum of all of the angles inside of a triangle is 180 degrees. That means we know that:

[tex](x+26)+(x+14)+(4x-10)=180[/tex]

We can then combine like terms:

[tex]6x+30=180[/tex]

We want to get 6x alone, so we can subtract 30 from both sides:

[tex]6x=150[/tex]

Then we want to get x alone, so we can divide both sides by 6:

[tex]x=25[/tex]

Now we know that x is 25.

Answer:

less

Step-by-step explanation:

3/4 = 0.75

1/4 = 0.25

0.25*3 = 0.75

or

3/4 = 75%

1/4 = 25%

0.25*3 = 75%

Answer:

Less

Step-by-step explanation:

Fractions are proportions written using division. They are not whole numbers.

Proper Fractions

3/4 is less than 1 whole because it is a proper fraction. A proper fraction is a fraction that has a numerator that is smaller than the denominator. Remember that the numerator is the top number and the denominator is the bottom number. All proper fractions are less than 1. It is important to understand proper fractions in this question because improper fractions and mixed fractions are greater than 1.

This specific question asks about 3/4, which is 1/4 less than 1 whole.

The Correct answer Answer:

B. both a relation and a function

Step-by-step explanation:

Answer:

x ≈ 57.8°

Step-by-step explanation:

using the Sine rule in the triangle

[tex]\frac{11}{sinx}[/tex] = [tex]\frac{8}{sin38}[/tex] ( cross- multiply )

8 × sinx = 11 × sin38° ( divide both sides by 8 )

sinx = [tex]\frac{11sin38}{8}[/tex] , then

x = [tex]sin^{-1}[/tex] ( [tex]\frac{11sin38}{8}[/tex] ) ≈ 57.8° ( to 1 dec. place )

Answer:

First point we take the centre number

2[ 3x-y=11]

-1[ x+2y=6]

second we multiply and we adding

6x-2y=22

-x+-2y=-6

_________

5x/5=18/5

x= 3.4

Step-by-step explanation:

third point we take 3x-y=11 any x where we see we change 3.4

3(3.4)-y=11

10.2-y=11

y=10.2-11

y=0.8

Answer:

4/5

Step-by-step explanation:

Judging by the graph, it looks like there are 2 points at (0, 2) and (5, 6).

We can find the slope by 'subtracting' these points:

(6-2)/(5-0) =4/5

If you ever need to remember this trick, you can remember "rise over run".

I hope this solution helped you. Happy mathing!

Answer:

3/8=0.375

Step-by-step explanation:

There are a total of 8 pairs and three of them are White. Its a simple fraction and figure out the decimal.

Answer:

136.19

Step-by-step explanation:

V=πr2h

3=π·5.12·5

3≈136.18804in³

Answer:

a=3

Step-by-step explanation:

The formula for direct proportion is

f = ka

Let f= 42 and a = 7

42 = k*7

Divide each side by 7

42/7 = k7/7

6 =k

f = 6a

Let f = 18

18 = 6a

Divide each side by 6

18/6 = 6a/6

3 =a

Answer:

a = 3

Step-by-step explanation:

Given that F is directly proportional to a, then the equation relating them is

F = ka ← k is the constant of proportion

To find k use the condition F = 42 when a = 7, thus

42 = 7k ( divide both sides by 7 )

6 = k

F = 6a ← equation of proportion

When F = 18, then

18 = 6a ( divide both sides by 6 )

3 = a

Answer:

19.42 ft

Step-by-step explanation:

Triangular part = 5+5 =10

Semi-circular part = 1/2×2πr = 1/2×2×3.14×3 = 9.42

Perimeter = 10+9.42 = 19.42ft

For semicircular

Outer perimeter

Now

Total perimeter