can you pls help meeeee look at the picture below the question is there

Answer:

Pam is correct.

Step-by-step explanation:

Divide 15 by 3 = 5

5 x 4 = 20, the total of toys she has.

Answer:

The measure of the angle is exactly x.

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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Yes, corresponding angles can be supplementary.

In geometry, two angles are considered supplementary if they add up to 180 degrees. In other words, if two angles have a sum of 180 degrees, they are called supplementary angles.

When two parallel lines are cut by a transversal, corresponding angles are angles that lie in the same relative position and are on the same side of the transversal line. These angles are found at the same relative distance from the two lines, meaning they are congruent.

So, if two parallel lines are cut by a transversal, and the corresponding angles are congruent, then it is possible for them to be supplementary as well. This is because if two angles are congruent, then they must have the same measure.

And if they have the same measure, then their sum will always equal to double the measure of either angle, which would make them supplementary.

In conclusion, corresponding angles can be supplementary if they are congruent.

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Answer:

a_n=125×20^(n-1)

Step-by-step explanation:

a_n=x×y^(n-1)

a_3=50000=x×y^2

a_5=20000000=x×y^4

y^2=20000000/50000=400

y=20;x=125

Answer:

\(Width = a^2 + 2a - 3\)

Step-by-step explanation:

Given

\(Area = 5a^4 + 10a^3 - 15a^2\)

\(Length = 5a^2\)

Required

Determine the Width

The area of a rectangle is calculated using:

\(Area= Length * Width\)

Make Width the subject

\(Width = \frac{Area}{Length}\)

Substitute values for Area and Length

\(Width = \frac{5a^4 + 10a^3 - 15a^2}{5a^2}\)

Factorize the numerator

\(Width = \frac{5a^2(a^2 + 2a - 3)}{5a^2}\)

\(Width = a^2 + 2a - 3\)

Hence, the polynomial for the width of the rectangle is:

\(Width = a^2 + 2a - 3\)

Answer:

(176, 193)

Step-by-step explanation:

Well you forgot to put in the choices, but:

The difference between the numbers is 17. Let's call the smaller number x and the bigger one y

(x + y) = 369

y = x + 17

(x + (x + 17)) = 369

2x + 17 = 369

2x = 352

x = 176

y = x + 17 = 193

Answer:

It is 25

Step-by-step explanation:

If the equation is 4/5 x n = 20, you will find the answer by dividing because its the opposite of multiplication.

\(20/\frac{4}{5} = 20x5/4=\\24\)

The answer is 25

I hope this helps :3

Answer:

b = 12.5

YZ= 100

Step-by-step explanation:

X__Y__Z

XZ = XY + YZ

175 = 6b + 8b

175 = 14 b

b = 175/14

b = 12.5

YZ = 8 b = 8 × 12.5 = 100

I hope I helped you^_^

The area of the domain enclosed by the curve with parametric equations x = tsin t, y = cost, t ∈ [0, 2π] is 2π + 2.

The parametric equations given are:

x = t sin t
y = cos t

To find the area of the domain enclosed by the curve, we can use the formula for the area of a region bounded by a curve given in parametric form:

A = ∫[a,b] y dx

where a and b are the limits of the parameter t that describe the domain of the curve.

In this case, we have:

a = 0
b = 2π

So, we need to compute:

A = ∫[0,2π] cos(t) (t sin(t)) dt

Using integration by parts with u = t and dv = sin(t) dt, we get:

A = [t cos(t)]|[0,2π] - ∫[0,2π] cos(t) dt + ∫[0,2π] sin(t) dt

The first integral evaluates to:

[t cos(t)]|[0,2π] = 2π

The second integral evaluates to:

∫[0,2π] cos(t) dt = [sin(t)]|[0,2π] = 0

The third integral evaluates to:

∫[0,2π] sin(t) dt = [-cos(t)]|[0,2π] = 2

Therefore, the area of the domain enclosed by the curve is:

A = 2π - 0 + 2 = 2π + 2

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So,

Given:

An (x,y) solution to this equation could be found just replacing any value of x to check out which value could "y" take.

For example,

When x=1:

Therefore, an (x,y) solution to this equation could be (1,3).

The error involved in approximating the sum of the given series by the sum of the first five terms of the series is `R5 = 1/6³ + 1/7³ + ...`.

To estimate the error that is made by approximating the sum of the given series by the series the first 5 terms 1/k³, we can use the remainder term of a convergent series.

The given series is ∑ 1/k³ from k = 1 to infinity.We have to find the error involved in approximating the sum of the given series by the sum of the first five terms of the series.

That is, we need to find the difference between the actual sum of the series and the sum of the first five terms of the series.

The sum of the series is given by: `S = 1/1³ + 1/2³ + 1/3³ + 1/4³ + ... + 1/n³ + ...` We can use the remainder term of the series to find the error in approximation.

The remainder term `Rn` is given by: `Rn = Sn - S` where `Sn` is the sum of the first `n` terms of the series. Thus, we have to find the remainder term for `n = 5`.

The remainder term `Rn` is given by: `Rn = S - Sn = 1/6³ + 1/7³ + ...` Since the given series is convergent, the remainder term `Rn` tends to zero as `n` tends to infinity.

So, if we take the sum of the first five terms of the series, the error involved in approximation is given by the remainder term `R5`.

The error involved in this approximation is very small and can be neglected.

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Answer:irrational

Step-by-step explanation: it is not a whole number

Answer is 35cm hope it will help you .

EXPLAINATION: π.r² = 3850 cm²  

⇒ r² = 3850/π = 3850/3,14 ≈ 1225.5

⇒ r = √ 1225.5 ≈ 35 cm

P/s: π ≈ 3.14

ANSWER: r = 35 cm

Ok done. Thank to me :>

Answer:

TY

Step-by-step explanation:

Answer:

Step-by-step explanation:

We will work to fill in the slope-intercept form of a line to get the answer to this. y = mx + b. The thing you need to understand first is how to get from one point to another on the line to determine the slope. Look to where the line goes through a corner of one of the squares on the graph. For example, locate these points to see what I mean: (-1, -2), (-2, -5), (1, 4), (2, 7). At each of those points, the line goes through perfectly right where the corners of the squares meet. If you understand this, then you are ready to write the equation of any line.

First locate the y-intercept. This is the point where the line goes through the y-axis. Our line goes through at a y value of +1. So our b value is +1. We will begin by filling that in first:

y = ___x + 1.

Now from that point, you can either go up and to the right to get to another point on the line, or you can go down and to the left. Let's do it both ways so you can see that regardless of which way you pick to go, you'll get the exact same equation every time.

I will go from the y-intercept to the point (1, 4). To get from the y-intercept, I have to go up 3 units til I'm even with the next point on the line, and then to the right 1. So my slope is +3/+1 which is 3.

If I want to go from the y-intercept to the point (-1, -2), I will go down 3 til I'm even with the point, then to the left 1. So my slope will be -3/-1 which is also a positive 3. Fill that in to the slope formula now:

y = 3x + 1, choice A.

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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Answer:

3cm²

Step-by-step explanation:

Since the sizes are square tiles, to know the tile's side lengths that Dorian need to estimate, we will use the formula for calculating the area of q square

Area of a square = L²

L is the side length of the tiles

For the tiles with area 7cm²

7 =  L²

L² = 7

L = √7

L = 2.65cm

For tiles with area 5cm²

5 =  L²

L² = 5

L = √5

L = 2.24cm

For tiles with area 9cm²

9 =  L²

L² = 9

L = √9

L = 3.0cm

Since for all the square tiles the length of the tile is ≤ 3 cm, then the  tile's side lengths that Dorian will need to estimate is approximately 3cm

Answer:

8.48528137424

Step-by-step explanation:

Answer:

6√2

Step-by-step explanation:

√72=8.48

6√2=8.48

Vertical angles are equal/congruent

4x+14=5x-5

X=19

4(19)+14= 90

Angle A= 90

The total number of visitors to the zoo that day=3980.

Given:

cost of each ticket for an adult=$25

cost of each ticket for an adult=$10

Total ticket sales one day=$47,750.

⇒$25+$10=47,750

⇒25+10=47,750-----(1)

Also,

c=6a+270

6a-c=-270------(2)

multiplying eq(2) with 10 we get:

60a-10c=-2700----(3)

Adding eq(1) and eq(3) we get

25a+10c=47,750

60a-10c=-2700

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

85a=45050

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

To calculate a value just divide 45050 by 85 we get

a=45050/85

a=530

Now to get the value of c substitutes a value.

c=60(530)+270

c=3450

Number of Adult visitors=530

Number of children visitors=3450

Total Number of visitors=3980.

Therefore, the total number of visitors to the zoo that day=3980.

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Answer:

Correct Answer: A.

Step-by-step explanation:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

2 inch per min

Positive slope implies increase

Answer:

7 ≤ x ≤ 25

Step-by-step explanation:

Triangle Inequality Theorem

The sum of any two sides of a triangle is greater than or equal to the third side:

Therefore, the longest side of the triangle is "c".

Let the longest side be "x":

Therefore:

Let the longest side be 16:

Therefore:

As 9 < 16, the longest side cannot be 9.

Therefore, the length of the third side of the triangle, given that the other two sides are 9 ft and 16 ft is greater than or equal to 7, and less than or equal to 25:

Answer:

1.is 8,15 and 10,12

2.is 2,15 and 5,6

Answer:

337.5 miles

Step-by-step explanation:

125/2.5=50

50*6.75=337.5

Answer: $88.90

Step-by-step explanation:

$39.95 x 2 + 0.06 x 150

Answer:

Graph in attachment and Solution set is x € (⅕ ,-∞)

Step-by-step explanation:

We need to graph the solution of a inequality . For graph refer to the attachment . Let's solve out and find the solution set of inequality .

=> 5/3x < 10

=> 5 < 10 * 3x

=> 5 < 30 x

=> 5 /30 < x

=> x > 1/5

Basically we need to plot here x > 1/5 . The solution set will be , x € ( 1/5 , -∞ )

answer:

-30

explanation:

-5/2=-2.5

-2.5*12=-30

The limiting probabilities for the Markov chain are pi = 1/m for all i, where m is the number of urns, and ni is the number of balls in urn i.


1. Observe that the system is symmetric and invariant under permutations of urns.

2. Since the state space is finite, irreducible, and aperiodic, the limiting probabilities exist and are unique.

3. Guess that the limiting probabilities are uniform, i.e., pi = 1/m for all i.

4. Apply the detailed balance condition for time-reversibility: Pij * πi = Pji * πj for all i, j.

5. Since a ball is selected uniformly at random, Pij = (ni / M) * (1 / (M - 1)), and Pji = (nj / M) * (1 / (M - 1)).

6. Plug in the guess πi = πj = 1/m into the detailed balance condition: (ni / M) * (1 / (M - 1)) * (1/m) = (nj / M) * (1 / (M - 1)) * (1/m).

7. Simplify and observe that both sides are equal, which verifies the guess and shows time-reversibility.

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