Find the volume of the prism below?

The given sequence follows a geometric pattern, and the common ratio is 0.2. Using the geometric sequence formula, we can find any term in the sequence by substituting the values into the formula.

The given sequence 125, 25, 5, ... follows a geometric pattern where each term is obtained by multiplying the previous term by a common ratio. To find the common ratio (r), we divide any term by its previous term. Let's divide 25 by 125 to find the common ratio: r = 25/125 = 1/5 = 0.2.

Now that we have the common ratio, we can use the formula for a geometric sequence:

aₙ = a₁ × r(n-1)

Here, aₙ represents the nth term, a₁ is the first term, r is the common ratio, and n is the term number. Since the first term (a₁) is 125 and the common ratio (r) is 0.2, we can substitute these values into the formula to find the nth term.

https://brainly.com/question/34721734

#SPJ12

The rule for the given geometric sequence 125, 25, 5, ... is an = 125 × 5(n-1).

The given sequence is 125, 25, 5, ...

To find the rule using the geometric sequence formula, we need to determine the common ratio. The common ratio is found by dividing any term by its previous term. Let's take the first two terms: 125/25 = 5. So, the common ratio is 5.

The formula for a geometric sequence is given by: an = a¹ × r⁽ⁿ⁻¹⁾, where an is the nth term, a¹ is the first term, r is the common ratio, and n is the position of the term.

Using this formula with the first term (a¹ = 125) and the common ratio (r = 5), we can find the rule for the sequence. Let's find the rule for the third term: a³ = 125 × 5⁽³⁻¹⁾ = 125 × 5² = 125 × 25 = 3125.

Therefore, the rule for the sequence is: aⁿ = 125 × 5⁽ⁿ⁻¹⁾.

https://brainly.com/question/34721734

#SPJ6

Answer:

x ≤8/5

Step-by-step explanation:

6x - 9 ≥ 11x - 17

Subtract 6x from each side

6x -6x-9 ≥ 11x - 17-6x

-9 ≥ 5x- 17

Add 17 to each side

-9+17≥ 5x - 17+17

8≥ 5x

Divide each side by 5

8/5≥ 5x /5

8/5≥ x

Answer:

64 pi

Step-by-step explanation:

divide 50.24 by 3.14 to find diameter

16 = diameter

8 = radius

Area = 8^2 pi = 64 pi

Answer:

A=200.96

Step-by-step explanation:

The number of different possible line ups are; 4,233,600

We are told that;

List of songs = 11 songs

Number of songs to be selected = 4 songs

Thus, the number of different possible line ups is gotten from permutation formula as;

¹¹P₇ = 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 = 4,233,600

Read more about permutations at; https://brainly.com/question/12468032

Answer:

answer is 7920

somehow you miscalculated

Answer:

11

Step-by-step explanation:

Line B is an enlargement of Line A, which is 5 cm long. Let's say that the scale factor is "k". Then, when we multiply k by the length of Line A, we should get the length of Line B:

(Line A length) * k = (Line B length)

5 * k = 55

k = 55/5 = 11

Thus, the scale factor is 11.

Hope this helps!

Answer:

11

Step-by-step explanation:

Length of enlarged line is: 55 cm

Length of the original line: 5 cm

Let the scale factor be t

Then,

5t = 55

t = 55/5

t = 11

Answer:

-1/2 + -1/2 + -1/2 + -1/2 = -2

Step-by-step explanation:

You open up the parenthesis to get:

-1/2 + -1/2 + -1/2 + -1/2 =

-2

so the answer is 8 units.

Hope this will help u...

Answer:

area of the shaded sector

= 72°/360°π(10)²

= 0.2×100π. sq. units

=20π sq. units

area of the not shaded region=π(10)²-20π

= (100-20)π = 80π sq. units

Answer:

12 Cans and 14 boxes

Answer:

b.14

Step-by-step explanation:

xoxoxoxoxoxoxoxoxo you're welcome

Answer:

50, 60, 70

Step-by-step explanation:

The mode is the value that appears the most:

2 50s

2 60s

1 80s

2 70s

1 55s

1 85s

1 90s

The modes are 50, 60, and 70

Answer:

The mode is 50,60,70

Step-by-step explanation:

They are the numbers that repeat themselves multiple times but they all repeat the same amount so all 3 are correct

Answer:

Step-by-step explanation:

x = 2 ; y = 4

3x + 2y + 4 = 3*2 + 2*4 + 4

                 = 6 + 8 + 4

                 = 18

Answer:

1) The sine function relates a real number t to the y-coordinate of the point where the corresponding angle intercepts the unit circle.

2) The secant function is the reciprocal of the cosine function (secx=1cosx) ⁡ x = 1 cos ⁡.The co-secant function is the reciprocal of the sine function (cscx=1sinx) ⁡ x = 1 sin ⁡ . It can be found for an angle t by using the y -coordinate of the associated point on the unit circle: csct=1y ⁡ t = 1 y .

Step-by-step explanation:

Final answer:

Sine and cosine functions are related to the unit circle with their values representing the y and x coordinates of a point on the circle, respectively. They oscillate between +1 and -1, repeating every 2π radians and are used to model simple harmonic motion, differing by a phase shift of π/2 radians.

Explanation:

The sine and cosine functions are directly related to the unit circle, which is a circle with a radius of 1 centered at the origin of a coordinate system. When an angle θ is drawn from the positive x-axis, the coordinates of the point where the terminal side of the angle intersects the unit circle are (cos θ, sin θ).

For the sine function, think of it as projecting the point on the unit circle onto the y-axis. This projection gives the y-coordinate, which is the sine of the angle θ. Therefore, the sine function oscillates between +1 and -1 as the angle θ increases, repeating every 2π radians because this is the circumference of the unit circle.

Similarly, the cosine function is obtained by projecting the point onto the x-axis, providing the x-coordinate or the cosine of the angle θ. It also oscillates between +1 and -1 and repeats every 2π radians. Both sine and cosine functions describe simple harmonic motion when modeling periodic phenomena, and they differ by a phase shift of π/2 radians.

The initial conditions of a sine function with zero phase shift are that the function starts at 0, indicating that, for simple harmonic motion, the initial position is at equilibrium. With a cosine function, the initial value is 1 when the phase shift is zero, indicating that the motion starts at its maximum displacement. This concept can also be used to model wave functions and determine scalar components using triangles.

Answer:

10 is the answer

Step-by-step explanation:

You have to multiply with whats inside the roots. you would have [tex]\sqrt{5} times \sqrt{20} will give you \sqrt{100} which is 10[/tex]

Answer:

20%

Step-by-step explanation:

Jus do the math for it and that be your answer right there.

Answer:

Cost for each movie: $1.50 Cost for each video game: $6.75

Step-by-step explanation:

Let x be the cost (in dollars) of renting a movie.

Let y be the cost (in dollars) of renting a video game.

The total cost of renting 3 movies and 2 video games is +3x2y dollars.

We're given that this total cost is $18, so we have =+3x2y18.

The total cost of renting 5 movies and 6 video games is +5x6y dollars.

We're given that this total cost is $48, so we have =+5x6y48.

Therefore, we get the following system of equations.

=+3x2y18

=+5x6y48

Multiplying the first equation by −3 and adding gives us the following.

   −9 x− 6 y = −54      5 x+ 6 y =  48     −4 x+ 0 y = −6  

So we get the equation =−4x−6.

Solving for x, we get the following.

=x1.5

To find y, we can substitute 1.5 for x in =+3x2y18, the first equation in the system.

Then we solve for y.

+31.52y =18

+4.52y =18

2y =13.5

y =6.75

So, we have found that =x1.5 and =y6.75.

This means that the rental cost for each movie is $1.50 and the rental cost for each video game is $6.75.

Answer:

(2 x 100) + (6 x 10) + (804 x 10^-3)

Step-by-step explanation:

The figure located at the hundred must be multiplied by 100

The figure located at the tens must be multiplied by 10

The figure located at the ones must be multiplied by 1

The figure located at the tenth must be multiplied by 10^-1

The figure located at the hundredth must be multiplied by 10^-2

The figure located at the thousandths must be multiplied by 10^-3

All the previous expression must be added. Then, 2 hundreds, 6 tens, and 804 thousandths is the same as:

(2 x 100) + (6 x 10) + (804 x 10^-3) = 260.804

Answer:

I think its the 1st one

Answer:

[tex]arc\ JM=132^o[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

[tex]arc\ JM+arc\ ML+arc\ LK+arc\ KJ=360^o[/tex] ----> by complete circle

substitute the given values

[tex](13x+2)^o+(8x-3)^o+(7x+7)^o+(5x+24)^o=360^o[/tex]

solve for x

[tex](33x+30)^o=360^o\\33x=360-30\\33x=330\\x=10[/tex]

step 2

Find the measure of arc JM

[tex]arc\ JM=(13x+2)^o[/tex]

substitute the value of x

[tex]arc\ JM=(13(10)+2)^o=132^o[/tex]

Answer:

132 maybe

Step-by-step explanation:

Answer:

5/2 = 2 1/2 = 2.5

Step-by-step explanation:

4 * 5/8 = 4/1 * 5/8 = (5 * 4)/(1 * 8) = 20/8 = 5/2 = 2 1/2 = 2.5

Answer is 2.5 because 4 times 5 is 20 and 20 divided by 8 is 2.5

Answer: He should order for 1046.67 litres fuel to be certain that he has enough for the next two weeks

Step-by-step explanation:

Note that he has just completely

filled the fuel tank of the lorry with 170 litres from empty. He now has 100 litres of fuel left in his storage tank

If his regular short daily trips total 300 km and this leaves just 20 litres in the lorry's fuel tank.

That is 100 litres -20 litres = 80 litres

On 300km, he consumed 80 litres

He plans to complete three regular days of 300 km journeys each week, but this could rise to five. Sometimes the total journeys are longer but his daily trips never total more than 400 km in a day. He never works more than five days in a week. His storage container holds

4000 litres

From all these analysis, we can deduce that the maximum km of journey he should prepare for is

400km × 5 = 2000km for one week

Since he consumed 80 litres of fuel for any 300km

Then,

80/300 = L/2000

L = 1600/3

L = 533.33 litres

The journey for two weeks will be

533.33 × 2 = 1066.67 litres

Recall that he left 20 litres in the tank. Take this away from 1066.67 litres.

1066.67 - 20 = 1046.67 litres

He should therefore order for 1046.67 litres fuel to be certain that he has enough for the next two weeks

Answer:

C & E

Step-by-step explanation:

∠3 and ∠5 are alternate interior angles

∠2 and ∠8 are alternate interior angles

Answer:

D(1)=3

Step-by-step explanation:

Answer:

The 3rd term is -25

Step-by-step explanation:

This is a recursive formula. It tells us that the first term is 3 and that the common difference is -14.

d(1)=3

d(2) = d(1) -14 = -11

d(3) = d(2) - 14 = -25

The 3rd term is -25

Answer:

A

Step-by-step explanation:

It’s just a rough estimate, but using reasoning that -12 is between-10 and -15, -3 is found between 0 and -5, and 7 being between 5 and 10

Answer:

what is the values of what?

Answer:

D. 1,200,000

Step-by-step explanation:

25%=0.25 which if multiplied by 4 = 1 which is the current followers. 300,000 multiplied by 4 = 1,200,000

Using percentages we know that the current followers of the sports franchise are (D) 1,200,000.

So, the current followers are:

Now calculate as follows:

Therefore, using percentages we know that the current followers of the sports franchise are (D) 1,200,000.

Know more about percentages  here:

https://brainly.com/question/9553743

#SPJ2

Answer:

C

Step-by-step explanation:

A y intercept lies on the y axis.

This means that the movement will happen with the y intercept, on the y axis.

8 is the original y intercept.

It is now changed to -3.

-3 is lower than 8 on the y axis so we are moving downward.

Now, to find the number of squares it moves, we can find the difference between 8 and -3.

8-(-3)=11

Therefore, The y-intercept will be moved 11 units downward.

Answer:

C.

Step-by-step explanation:

The -3x tells you the slope (rise/run). In this case, it will go downward because it is negative. It will have a slope of 3/1. The +8 or -3 is the y intercept and tells which direction the original line will go from its' starting point. So you would add those together to know which way the line moves.

Answer:

3

Step-by-step explanation:

t-4t^2+2t^3

Rewriting this in order from largest to smallest exponent

2t^3 -4t^2 +t

The highest power is 3

So this is degree 3

Slope of the line passes through (5,10) and (7,12) is 1.

Step-by-step explanation:

Given,

The two points are (5,10) and (7,12).

To find the slope passing through the given points.

Formula

The slope of the line passing through ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Now, putting [tex]x_{1} =5,y_{1}=10, x_{2}=7, y_{2} =12[/tex] we get,

Slope = [tex]\frac{12-10}{7-5}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Hence,

Slope of the line passes through (5,10) and (7,12) is 1.

Answer:

[tex]to \: find \: the \: slope \: of \: the \: line \\ given \: that \: the \: line \: passes \: through \\ (5,

10) \: and \: (7,12) \\

answer \: is \: \: 1

[/tex]

Step-by-step explanation:

[tex]passing \: through \: (5,10) \: and \: (7,12) \\ slope = \frac{y2 - y1}{x2 - x1} \\ here \: y2 = 12 \: \: and \: \: y1 = 10 \\ x2 = 7 \: \: and \: \: x1 = 5 \\ therefore \: \\ slope = \frac{12 - 10}{7 - 5} \\ = \frac{2}{2} \\ = 1[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

(x - 8) and (x + 2) are both factors

Step-by-step explanation:

Given

x² - 6x - 16

Consider the factors of the constant term (- 16) which sum to give the coefficient of the x- term (- 6)

The factors are - 8 and + 2, since

- 8 × 2 = - 16 and - 8 + 2 = - 6, thus

x² - 6x - 16 = (x - 8)(x + 2)

Answer:

x + 2

Step-by-step explanation:

Just took the quiz