(a) Using Geometry Vocabulary, describe a sequence of transformations that maps figure A onto figure B.

(b) Write the Transformation Mapping Rule(s) for the sequence you described in part (a).

Answer:

85.5

Step-by-step explanation:

85 • 9 is 765

If you add 90 to 765 and then divide the sum by 10, you get 85.5.

Answer:

\( \huge{ \boxed{ \tt{1 }}}\)

❁ Question : Simplify :

❁ Solution :

First , Use power law of indices.

Remember : If \( \sf{ {a}^{m} }\) is an algebraic term , then

\( \sf{( {a}^{m} ) ^{n} } = {a}^{m \times n} = {a}^{mn} \) , where m and n are positive integers.

➝ \( \sf{ {x}^{a(b - c)} \times {x}^{b(c - a)} \times {x}^{c(a - b)}} \)

➝ \( \sf{ {x}^{ab - ac} \times {x}^{bc - ba} \times {x}^{ca - cb}} \)

Now , Use product law of indices :

Remember : If \( \sf{ {a}^{m} }\) and \( \sf{ {a}^{n}} \) are the two algebraic terms , where m and n are the positive integers then \( \sf{ {a}^{m} \times {a}^{n} = {a}^{m + n}} \)

➝ \( \sf{ {x}^{ab - ac + bc - ba + ca - cb}} \)

Since two opposites adds up to zero , remove them :

➝ \( \sf{ {x} \: ^{ \cancel{ab} \: - \cancel{ac} \: + \cancel{bc} \: - \cancel{ba} \: + \cancel{ca} \: - \cancel{cb} } }\)

➝ \( \sf{ {x}^{0} }\)

Use Law of zero index

Remember : If \( \sf{ {a}^{0}} \) is an algebraic term , where a ≠ 0 , then \( \sf{ {a}^{0} = 1}\)

➝ \( \boxed{ \sf{1}}\)

And we're done !

Hope I helped ! ♡

♪ Have a wonderful day / night ツ

~~

The correct option  is option C: ∣s−82∣<4, which describes all possible values of s.

The correct option  is option C: ∣s−82∣<4, which describes all possible values of s

Option A (∣s - 82∣ = 4) would indicate that all the scores are exactly 4 units away from 82, which is not the case as some scores could be less than 82 or greater than 86.

Option B (∣s + 82∣ = 4) would indicate that all the scores are exactly 4 units away from -82, which is not relevant to the given situation.

Option C (∣s - 82∣ < 4) correctly indicates that the scores can vary within a range that is less than 4 units away from 82. This range includes scores between 78 and 86, as mentioned in the question.

Option D (∣s + 82∣ < 4) would indicate that all the scores are exactly less than 4 units away from -82, which is not relevant to the given situation.

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Answer:

1/20

Step-by-step explanation:

P(red,red) = 4/16 x 3/15 = 1/4 x 1/5

Answer:

6/24

5/24

Step-by-step explanation:

count how many cards there are(24) then Find out how many red cards there are(4/24=6

Answer

A) f(w) = 80w + 30

B) w represents the number of weeks and f(w) the number of flowers that bloomed

C) 2830 flowers

Step-by-step explanation

A) To find the function f, which represents the number of flowers that bloomed, as a function of w, the number of weeks, we have to evaluate f(s) with s = s(w) = 40w, as follows:

B) w represents the number of weeks and f(w) the number of flowers that bloomed, like before.

C) Substituting w = 35 weeks into f(w), we get:

Answer: T= 5 and s =17

Step-by-step explanation: Use the midpoint formula

Solve for T

^xm=^xC+^xD/2

15+t/2=10

15+t=20

Solve for S

^ym=^yC+^yD/2

s+3/2=10

s+3=20

Step-by-step explanation:

as the formula says for the acid of symmetry :

x = -b/2a

in the function m(x) = 2x² + 8x +3

we have

a = 2

b = 8

c = 3

the axis of symmetry is

x = -8/(2×2) = -8/4 = -2

the vertex is (h, k) out of the form

m(x) = a(x - h)² + k

we know already, a = 2

for the rest we do all the multiplications and then we compare it with the original function :

m(x) = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

a = 2

-2ah = 8

-2×2×h = 8

-4h = 8

h = -2

ah² + k = 3

2×(-2)² + k = 3

8 + k = 3

k = -5

so, the vertex is (-2, -5)

Answer:

D.30/34

Step-by-step explanation:

edge

Answer:

D. 30/34

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

1 hour = 60 minutes, so ratio is

20:60 = 1:3

∴ n = 1

Answer:

The slope will be 2/5.

Step-by-step explanation:

\(y = 2/5x -1\) is written in slope-intercept form.

This formula looks like:

\(y=mx+b\)

where:

So:

1 ). For two lines to be parallel they must have the same slope.

2 ). For two line to be perpendicular they must have slopes that are opposite reciprocals.

As the question states, we must find the slope of a line parallel to the equation given. This means that the slope will remain 2/5.

Lets check our work!

Choose a random ordered pair. I will choose (5, 6).

Now, using point slope-form we can find out if what was said above is true!

This formula looks like:

\(y - y1 = m (x-x1)\)

Let us substitute:

\(y - 6 = 2/5(x-5)\)

Distribute:

\(y-6=2/5x-2\)

Add 6 to both sides:

\(y= 2/5x+4\)

Now using both equations I will plot them on a graph to see if they a parallel.

As you can see from the graph below, these lines are parallel. Where the equation you were given is in blue and the equation I made is in red.

Based on all of the evidence, the slope will be 2/5.

Hope this helped! :)

Answer:

a) The factors of x² + 3·x are x and (x + 3)

x² + 3·x = x·(x + 3)

b) The factors of 2·x² - 8·x are 2, x and (x - 4)

2·x² - 8·x = 2·x·(x - 4)

c) The factors of 6·x + 9·x³ are 3, x and (2 + 3·x²)

6·x + 9·x³ = 3·x·(2 + 3·x²)

d) The factors of 12·x³ - 4·x² are 4, x², and (3·x - 1)

12·x³ - 4·x² = 4·x²·(3·x - 1)

Step-by-step explanation:

The question relates to resolving a polynomial into its factors;

a) For the polynomial (quadratic) equation, x² + 3·x, we have;

x² + 3·x = x·(x + 3)

Therefore, x² + 3·x in factorized form is x·(x + 3)

b) For the polynomial (quadratic) equation, 2·x² - 8·x, we have;

2·x² - 8·x = 2·x·(x - 4)

Therefore, 2·x² - 8·x in factorized form is 2·x·(x - 4)

c) For the polynomial (cubic) equation, 6·x + 9·x³, we have;

6·x + 9·x³ = 3·x × (2 + 3·x²)

Therefore, 6·x + 9·x³ in factorized form is 3·x·(2 + 3·x²)

d) For the polynomial (cubic) equation, 12·x³ - 4·x², we have;

12·x³ - 4·x² = 4·x²·(3·x - 1)

Therefore, 12·x³ - 4·x² in factorized form is 4·x²·(3·x - 1).

Answer:

The answer is one pair of socks = $10

Step-by-step explanation:

I subtracted 42 by 12 and got 30. I then divided 30 and 3 and got 10.

42-12=30

30/3=10

Or you can subtract 12 from both sides to get the variable on one side. Then you divide the variable by the coefficient (3) and divide 30 by 3 to get 10.

Answer:

x=3

Step-by-step explanation:

put the value of y=20 in equation

20=2(x+7)

20=2x+14

20-14=2x

6=2x

6/2=x

x=3

Answer:

x=-17

Step-by-step explanation:

-2(x+7)=20

distibute the -2

-2x-14=20

add 14 to both sides

-2x=34

divide by -2

x=-17

Answer:

democratic leader i think im not sure tho

Answer:

an absolute dictator

Step-by-step explanation:

The surface integral ∬H 2y dA is equal to (4√2/3).

To evaluate the surface integral, we need to compute the integral of the function 2y over the helicoid surface H given by the vector parametric equation (u, v) = (u cos v, u sin v, v), where 0 ≤ u ≤ 1 and 0 ≤ v ≤ 3.

Let's set up the integral using the surface area element dA:

∬H 2y dA

To find the surface area element, we can use the cross product of the partial derivatives of the parametric equation:

dA = |(∂r/∂u) × (∂r/∂v)| du dv

where ∂r/∂u and ∂r/∂v are the partial derivatives of r(u, v) = (u cos v, u sin v, v) with respect to u and v, respectively.

∂r/∂u = (cos v, sin v, 0)

∂r/∂v = (-u sin v, u cos v, 1)

Taking the cross product, we get:

|(∂r/∂u) × (∂r/∂v)| = |(cos v, sin v, 0) × (-u sin v, u cos v, 1)|

= |(u sin v, -u cos v, u)|

= √(u² sin² v + u² cos² v + u²)

= √(u² + u²)

= √(2u²)

= u√2

Now we can set up the integral:

∬H 2y dA = ∫∫ 2y |(∂r/∂u) × (∂r/∂v)| du dv

= ∫₀³ ∫₀¹ 2(u sin v) (u√2) du dv

We integrate with respect to u first:

∫₀¹ 2(u sin v) (u√2) du = 2√2 sin v ∫₀¹ u² du

= 2√2 sin v [u³/3]₀¹

= 2√2 sin v (1/3)

Now we integrate with respect to v:

∫₀³ 2√2 sin v (1/3) dv = (2√2 (1/3)) ∫₀³ sin v dv

= (2√2/3) [-cos v]₀³

= (2√2/3) (1 - (-1))

= (2√2/3) (2)

= (4√2/3)

Therefore, the surface integral ∬H 2y dA is equal to (4√2/3).

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Answer:

8 hours

Step-by-step explanation:

if it takes 2hrs to do 4 pages it takes an hour to do 2 pages

2*8=16

1*8=8

8 hours

hope it helps

The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.

According to the given information:

When running gradient descent,

The learning rate α determines the step size taken in each iteration toward the optimal solution.

If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.

If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.

In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.

This suggests that the algorithm is not converging and is overshooting the minimum.

To fix this,
The value of α can be adjusted by reducing it to a smaller value,

Such as 0.1 or 0.01.

This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).

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Answer:

either y = x or x = 1

Step-by-step explanation:

i dunno for sure but i think its y = x

The sum of the measures of all the angles in all of the triangles shown in the given diagram is 3,600°.

We need to find the sum of the measures of all the angles in all of the triangles shown in this diagram.

A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices.

The sum of all the angles of the triangle is equal to 180°.

From the figure, by counting, we get there are 20 triangles.

As we know, the sum of all the interior angles of a triangle is 180°.

So, the sum of the measures of all the angles in all of the triangles = The number of triangles × 180°

= 20 × 180°

= 3,600°

Therefore, the sum of the measures of all the angles in all of the triangles shown in the given diagram is 3,600°.

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The answer is the initial investment was $3000.

Sure, I can help you with that! To write an exponential function y to represent the amount of money in the savings account x years after the initial investment, we need to use the formula for compound interest.

The formula is: A = P(1 + r/n)^(nt), where A is the total amount, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we know that the initial investment is some amount, let's call it P. The interest rate is 2%, compounded annually (so n = 1). After one year, the balance in the account is $3060.

So we can plug in these values to the formula and solve for P:

3060 = P(1 + 0.02/1)^(1*1)

3060 = P(1.02)

P = 3060/1.02

P = 3000

Therefore, the initial investment was $3000.

Now we can write the exponential function y = 3000(1 + 0.02/1)^(1x), or simplified to y = 3000(1.02)^x. This function represents the amount of money in the savings account x years after the initial investment.

To summarize, we used the formula for compound interest to determine the initial investment and then wrote an exponential function based on that investment to represent the balance in the savings account over time.

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The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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Therefore, 60 different combinations can be made wearing one of each type

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a. States 1 and 4 are transient.

b. States 2 and 3 are periodic.

c. State 3 does have a limiting-state probability.

To determine the transient and periodic states, we need to analyze the properties of the Markov chain shown in Figure 12.24.

a. Transient states are those that have a non-zero probability of reaching an absorbing state but will eventually leave and not return. In this case, states 1 and 4 are transient because they can transition to state 2, which is an absorbing state, but they can also transition back to themselves.

b. Periodic states have a positive probability of returning to themselves in a specific number of steps. In this Markov chain, states 2 and 3 form a loop and can transition between each other indefinitely. As a result, they are considered periodic.

c. To determine if state 3 has a limiting-state probability, we need to check if it is an absorbing state or part of a periodic loop. State 3 is not an absorbing state, but it is part of the periodic loop with state 2. Therefore, state 3 does have a limiting-state probability.

To determine the limiting-state probability for state 3, we need to solve the equations for the steady-state probabilities. We can set up and solve a system of equations using the detailed balance equations or iterative methods such as the power method. However, without the transition probabilities or additional information, we cannot provide a specific numerical calculation for the limiting-state probability of state 3.

In the given Markov chain, states 1 and 4 are transient, states 2 and 3 are periodic, and state 3 does have a limiting-state probability, although we cannot provide the exact numerical value without additional information or transition probabilities.

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The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

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Answer:

Step-by-step explanation:

Use the formula for the area of a parallelogram:

Since the area is constant, 12 in², the formula for the height is:

The height is too much compared to the base, this is because the area is fixed and the height gets greater if the base gets smaller.

The height and base are inversely proportional.

The person above me is correct but here is the answer again.

Answer:

1. h = 12/b

2. h = 8 in

Step-by-step explanation:

Part 1

Use the formula for the area of a parallelogram:

A = bh, where b- length, h - height

Since the area is constant, 12 in², the formula for the height is:

bh = 12

h = 12/b

Part 2

If b = 1.5 in, the height is:

h = 12/1.5 = 8 in

The height is too much compared to the base, this is because the area is fixed and the height gets greater if the base gets smaller.

The height and base are inversely proportional.