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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]

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.

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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⁾.

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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.

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Answer:

C & E

Step-by-step explanation:

∠3 and ∠5 are alternate interior angles

∠2 and ∠8 are alternate interior angles

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:

the picture is blocked on my screen just write it out on my answer

Step-by-step explanation:

Answer:

the theoretical probability is 1/5.

the experimental probability is 3/10.

chances are the experimental probobility will approach the theoretical probobility.

Step-by-step explanation:

since blue is one of five equal sizes, the probobility that it will land on blue is 1/5.

the expiromental probobility is the number of times it landed on blue devided by the number of spins. 15/50. this can be simplified by pulling out a 5, leaving us with 3/10.

last it stands to reason that the more times the spinner is spun the closer the experimental probability will model the theoretical probability.

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

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

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Answer:

answer is 7920

somehow you miscalculated

Answer:

?

Step-by-step explanation:

however many weeks the question is asking for just multiply that number by 15

Answer:

15w

Step-by-step explanation:

So, there is a rate. It would be 15w

w=Week.

Since she started with no money at all, it would be simple. 15w.

Hope this helped!

Final answer:

Using the compound interest formula, Brad's $1,500 will grow to $1,810.69 by the time he turns 21 due to the 6.5% annual growth rate for three additional years.

Explanation:

Calculating Future Value with Compound Interest

Brad's grandmother initially deposited $1,500 in an account that grows at a rate of 6.5% each year. To calculate the future value of this investment when Brad is 21, we'll use the formula for compound interest:

FV = P(1 + r)^n

Where:

FV is the future value of the money after n years.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of years the money is invested or borrowed for.

In Brad's case:

P = $1,500

r = 0.065 (6.5% converted to a decimal)

n = 21 years old - 18 years old = 3 years

Now, we plug these values into the compound interest formula:

FV = $1,500(1 + 0.065)^3

And calculate the future value.

Therefore, if Brad decides to wait until his 21st birthday to withdraw the money, he would have:

$1,500(1 + 0.065)^3 = $1,500(1.065)^3 = $1,500 * 1.207127 = $1,810.69

Brad will have $1,810.69 in his account by the time he is 21 if he waits, which is more than he would have at 18.

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

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:

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:

-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

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:

C

Step-by-step explanation:

Answer A does not come out to an even answer.

Answer:

C

Step-by-step explanation:

The Pythagorean theorem only works with right triangle. Seeing that the only right triangle is C the correct answer must be C. If you don't know how to identify a right triangle one of the easiest things to do is that there is a box in the corner and that means it is a right triangle. A right triangle is a triangle in which one of the corners is at at 90 degree angle

Answer:

20%

Step-by-step explanation:

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

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:

b.14

Step-by-step explanation:

xoxoxoxoxoxoxoxoxo you're welcome

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:

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:

Step-by-step explanation:

Let n = nickels and d = dimes

n+d = 65

5n+10d = 490

Solve for n:

n = 65 - d

Substitute the equation:

325 + 5d = 490

5d = 165

d = 33

so the answer is 8 units.

Hope this will help u...

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:

[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:

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:

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

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: