Which answer is the explicit rule for the sequence 2, 9, 16, 23, 30 ...?

an=2−7n

an=2+7n

an=−5+7n

an=−5−7n

Answer:

226.08 ft³

Step-by-step explanation:

[tex]\textsf{volume of a cone}=\frac{1}{3}\pi r^2h[/tex]
(where [tex]r[/tex] = radius of the base and [tex]h[/tex] = height)

[tex]\textsf{radius}\ r=\frac{1}{2}\ \textsf{diameter}[/tex]

Given:

[tex]\implies \textsf{volume of tent}=\frac{1}{3}\times3.14 \times 6^2 \times 6=226.08 \ \textsf{ft}^3[/tex]

On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The linear equation is shown below.

[tex]\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30[/tex]

The equation can be written as

[tex]\rm 3x - 10y = 450\\[/tex]

For y = 15, the value of x will be.

[tex]\begin{aligned} \rm 3x - 10*15 &= 450\\\\\rm 3x - 150 &= 450 \\\\\rm 3x &= 600\\\\\rm x &= 200\\\end{aligned}[/tex]

The value of x is 200.

Thus, option D is correct.

More about the linear system link is given below.

https://brainly.com/question/20379472

The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².

It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.

Given

A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

We know the formula for the regular octagon.

Area of the regular octagon = 2(1 + [tex]\sqrt{2}[/tex]) a²

Where a be the side of a regular octagon.

Then the area of the regular octagon will be.

[tex]\rm Area = 2 (1+\sqrt{2} ) a^2\\\\Area = 2*(1 + 1.414) *4.6^2\\\\Area = 2 * (2.414)* 21.16\\\\Area = 102.16[/tex]

Thus, the area of the regular octagon of side length be 4.6 is 102 ft².

More about the regular octagon link is given below.

https://brainly.com/question/858868

Answer:

the answer is option C..

Answer:

graph c

Step-by-step explanation:

if Jose rode his bike for 18 miles in one hour, the graph has to show it. Graph c is the only one that shows 18 miles in one hour, being the point (1,18)

the answer to your question is a.

Answer:

x= 6

y= 2

Step-by-step explanation:

conversion factor is 2, so you have to divide by 2 in order to get your answers :)

Answer:

x = 6

y = 2

Step-by-step explanation:

Just divide 6 a number and you have to get 3, in this case it's 2.

So then divide 4 and 12 by 2, and that will get you the answer.

Hope this helps!

Answer:

x = 72

Step-by-step explanation:

angles x and 72° are corresponding angles and are congruent , then

x = 72

The value of x is 72 degree.

Option A is correct.

The basic qualities listed below make it simple to identify parallel lines.

We have the parallel line AB || CD.

As, we know the parallel line have following property

Now, from the figure using Corresponding angle

x = 72 degree

Thus, the required angle is 72 degree.

Learn more about Parallel line here:

https://brainly.com/question/16701300

#SPJ7

Answer:

the answer is H=3 miles

Step-by-step explanation:

Area of Trapezoid = [tex]{(Base1+Base2)/2 }* (Height)[/tex]

we sub the values we have in the formula:

18= ( 5+7)/2 * (H)

H = (2*18)/(5+7)

H = 3 miles

where is H is the Height

Answer:

2.726

Step-by-step explanation:

This question has a lot of answers because it doesn't specify a certain w or l.

11.6*9.4=109.04

109.04*.1/4=27.26

x*y=27.26

x*10=27.26

x=2.726

any two numbers could multiply to that number.

I just used 10 and got 2.726

Work Shown:

[tex]-\frac{5}{4} \div \frac{1}{4}\\\\-\frac{5}{4} \times \frac{4}{1}\\\\-\frac{5\times4}{4\times1}\\\\-\frac{5}{1}\\\\-5[/tex]

Whenever you divide fractions, you flip the second fraction and multiply. In this case, the '4's cancel.

Answer:

Y=2.25x+4.00 would be the answer!:)

Step-by-step explanation:

The slope is 2.25 and the starting point is 4.00

To find the slope subtract 8.50 and 15.25 then divide it by 3

Answer:

B.) y = 2.25x + 4.00

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

x = -3

Step-by-step explanation:

Start by distributing the 4 to the terms in the parentheses:

4(-4x)+4(-1)+x+3=44

-16x-4+x+3=44

Combine like terms

-15x-1=44

Add 1 to both sides

-15x-1+1=44+1

-15x=45

Divide both sides by -15

x = -3

Answer: x = -3

Step-by-step explanation: distribute, combine, divide, you get x = -3

Answer:

x = 5 , y = 15

Step-by-step explanation:

Since the figures are congruent then corresponding sides and angles are congruent , that is

WG = DG ( substitute values )

3x - 5 = 10 ( add 5 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

and

∠ WGF = ∠ DGF , that is

15x + y = 90 ( substitute x = 5 )

15(5) + y = 90

75 + y = 90 ( subtract 75 from both sides )

y = 15

Using the given exponential model, it is found that the number of fish in Skipper's Pond at the beginning of the year 2006 is given by:

B. 192

The exponential model for the number of fish in the Pond in x years after 2000 is given by:

[tex]y(x) = 3(2)^x[/tex]

2006 is 6 years after 2000, hence the amount is of y(6), that is:

[tex]y(6) = 3(2)^6 = 192[/tex]

Hence option B is correct.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

2x³ - 2x² - 1 + (6 / x² + x + 2)

Answer: 6 and 8

Step-by-step explanation:

(The top and bottom)

A trapezoid has two bases and two legs. As seen, the lengths that represent the bases of the trapezoid are the parallel sides 8 and 6. This is because they go on straight and never intersect each other, which makes them parallel. The length that represents the height of the trapezoid is 4, which is the straight line that connects both bases.

Hope this helps =)

Answer:

11 is B and 12 is A

Step-by-step explanation:

Answer:

The answer is 375

Step-by-step explanation:

First you would need to divide 300 and 16 then you would get 18.75 then you multiply that by 20 and then you get your final answer which is 375.

Answer:

dang i had a hard time on this wish i could help

Step-by-step explanation:

Answer:

A closed circle on 12, going to the left.

Step-by-step explanation:

h − 9 ≤ 3

  + 9 + 9

h ≤ 12

Look for a closed circle on 12, going to the left.

Hope that helps!

Answer: Answer:

Plane B was farthest away from the airport

Step-by-step explanation:

"This question requires you to visualize the run way as the horizontal distance to be covered, the height from the ground as the height gained by the plane after take of and the distance from the airport as the displacement due to the angle of take off.

In plane A

The take-off angle is 44° and the height gained is 22 ft.

Apply the relationship for sine of an angle;

Sine Ф°= opposite side length÷hypotenuse side length

The opposite side length is the height gained by plane which is 22 ft

The angle is 44° and the distance the plane will be away from the airport after take-off will be represented by the value of hypotenuse

Applying the formula

sin Ф=O/H where O=length of the side opposite to angle 44° and H is the hypotenuse

In plane B

Angle of take-off =40°, height of plane=22miles finding the hypotenuse

Solution

After take-off and reaching a height of 22 ft from the ground, plane A will be 31.67 miles from the airport

After take-off and reaching a height of 22 ft from the ground, plane B will be 34.23 miles away from the airport."

Excerpt from Brainly

The graphs of pool A and pool B are illustrations of piece-wise functions

The rate of both pools from t1 to t2, t is 0.

From 0 to t1, the rates of the pools are:

Pool A = A/t1

Pool B = B/t1

Where A represents the gallons of water in the pool and B represents the rate at time t1

From t1 to t2, the rate of both pools is 0.

This is so because both intervals are represented by horizontal lines

Read more about piecewise functions at:

https://brainly.com/question/3628123

Let Hypotenuse be x

X² = 20² + 28²

x² = 400 + 784

[tex] \tt x= \sqrt{400 + 784 } [/tex]

[tex] \tt x= \sqrt{1,184} [/tex]

[tex] \tt x= 34.4[/tex]

1. Observe problem

Restriction: Decimal Form

Least common multiple of 15 and 20 is: 60

Time sixty on both sides

40=3x

x=40/3

Therefore, decimal representation would be 13.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...

Answer: 13.3 repeating

Step-by-step explanation:

First you cross multiple 10 times 20 to get 200=15x. Then you divide 200 by 15 to get 13.3 repeating

Given :-

To Find :-

Solution :-

The given system of equation is ,

[tex]\begin{cases} 3x + 2y = 9\dots (i) \\\\ y = 4x + 10 \dots (ii)\end{cases}[/tex]

Firstly , taking equation (ii) ,

[tex] y = 4x +10[/tex]

On subtracting y on both sides, we have ;

[tex] 4x - y +10 = 0[/tex]

Multiplying both sides by 2 ,

[tex] 2(4x -y+10)=2(0)[/tex]

Simplify,

[tex] 8x - 2y = -20 \dots (iii)[/tex]

Adding equation (i) and (iii) ,

[tex] 3x + 2y + 8x - 2y = -20+9[/tex]

Add and subtract the like terms ,

[tex] 11x = -11 [/tex]

Divide both sides by 11 ,

[tex] x = -1 [/tex]

Now substitute this value in equation (i) ,

[tex] 3(-1) + 2y = 9\\ \\ -3 + 2y = 9 \\\\ 2y = 9+3 \\\\ 2y = 12 \\\\ y =\dfrac{12}{2}\\\\ y = 6[/tex]

Hence the correct option is 4 (-1,6) .

I hope this helps . Let me know if you need any further clarification .

Option 4.

For clear understanding refer to the attachment.

Answer:

  AB ≈ 581.6 ft

Step-by-step explanation:

The triangle from point A to the base of the lighthouse to the light beam can be modeled as a right triangle with the side opposite the angle being given. That means the distance from A to the base of the lighthouse is found from the tangent relation:

  Tan = Opposite/Adjacent

  tan(7°) = (105 ft)/A

  A = (105 ft)/tan(7°)

Using similar reasoning, the distance to B is ...

  B = (105 ft)/tan(21°)

Then the distance from A to B is ...

  AB = (105 ft)/tan(7°) -(105 ft)/(tan(21°)) = (105 ft)(1/tan(7°) -1/tan(21°))

  AB ≈ 581.6 ft

_____

Additional comment

We know that 1/tan(7°) = cot(7°) = tan(83°). This means the relation can be written ...

  AB = (105 ft)(tan(83°) -tan(69°))

Answer:

C, there are 9 pencils in each row.

Step-by-step explanation:

Answer:

about 440 balls

Step-by-step explanation:

The volume of the container is first calculated

[tex]v=\pi (5)^{2} (14)=1099.6 cu.in[/tex]

It is now divided by the volume of the golf ball

[tex]#balls=\frac{1099.6}{2.5} =439.8[/tex]

Hope this helps