A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financial aid can be determined by the function f(x)=10000+5000x,f(x)=10000+5000x, where xx is the number of siblings (including half-siblings and step-siblings) that the applicant has living in their household. Find and interpret the given function values and determine an appropriate domain for the function.

If we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

This problem can be solved using dynamic programming. Let's define dp[i][j] as the number of combinations of coins using the first i coins to make up an amount j. Then we can use the following recurrence relation:

dp[i][j] = dp[i-1][j] + dp[i][j-coins[i]]

The first term on the right-hand side of the equation corresponds to the case where we don't use the i-th coin, while the second term corresponds to the case where we use the i-th coin at least once. Note that we only need to consider cases where j >= coins[i], because it's impossible to make up an amount less than the value of the i-th coin using that coin.

We can initialize dp[0][0] = 1, because there is exactly one way to make up an amount of zero using no coins. Finally, the answer to the problem is dp[n][amount], where n is the total number of coins.

Here's the Python code:

def change(amount, coins):

   n = len(coins)

   dp = [[0] * (amount+1) for _ in range(n+1)]

   dp[0][0] = 1

   for i in range(1, n+1):

       dp[i][0] = 1

       for j in range(1, amount+1):

           dp[i][j] = dp[i-1][j]

           if j >= coins[i-1]:

               dp[i][j] += dp[i][j-coins[i-1]]

   return dp[n][amount]

For example, if we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

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Answer:

10 kg = 10g = 10 mg

Hope this helped ;)

Answer:

A  \((- \infty, \infty)\)

Step-by-step explanation:

Domain is the set of value the independent variable (in our case, x) can take. Absolute value gives no restriction on the set, so the domain is the set of real numbers \(\mathbb{R}\), or \((- \infty, \infty)\)

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

$0.30

Step-by-step explanation:

$0.60 = 12

0.60 divided by 2 is 0.30

$0.30

Answer:

6 pencils x $0.6 = $3.6

Step-by-step explanation:

hope this helps

The coordinates of the specified vertex after the given sequence of transformations is given by;

Q' = (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:

Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:

(x, y)      →       (x, -y)

Coordinate Q' (3, 3) → (3, -3).

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Answer:

the cords are 4 -2

Step-by-step explanation:

Answer:

First pic (4, -2) second pic (-3, 2)

Answer:

123.9

Step-by-step explanation:

Answer:

Yay

Step-by-step explanation:

I get points :3

Answer is 3/4 (I TOOOTALLY did this by myself)

The smallest such whole number is 11 which is, Which is divided by 3, the remainder is 2, f it, divided by 4, the remainder is 3

Let the number be x

Here we have to find the whole number which is Divided by 3,4 the remainder is 2,3 respectively,

x+(3–2)= x +1 is multiple of 3

Div by 4 remainder is

3x+(4–3) = x+1 is multiple of 4

So LCM of 3,4 is 3×4 = 12

Hence,x=12 –1 =11

The smallest such whole number is 11 which is divided by 3, the remainder is 2, if it divided by 4, the remainder is 3.

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Andre travelled distance in one hour is 38 miles.

Define the relationship between Speed, Distance and Time

Given,

Distance travelled  of Andre is = 228 miles

Time taken to cover 228 miles = 6 hours

Then speed will be = Distance / time

speed = 228 / 6

          = 38 miles/hour

It means in 1 hour Andre covers a distance = 38 miles with a speed of 38 miles/hour

Hence, Andre travelled distance in one hour is 38 miles.

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The unit price of a mini action figures given the total cost as $18.96 is $4.74.

This is the price per each item of a particular good. We can get unit price by dividing the price of certain number of units of an item by the number of units to find the unit price of that item.

Unit price = Total price of items / total number of items.

Unit price of mini action figures = Total cost of items / Number of mini action figures

= $18.96 / 4

= $4.74

Therefore, the unit price of a mini action figures given the total cost as $18.96 is $4.74.

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boys and girl both can come but plz come fst

q o i x m b g w g u

Answer:

(- 26) + (15)

Step-by-step explanation:

The conjecture proposed by German mathematician Lothar Collatz in 1937 is that for any natural number n, the end result will always be 1. The example provided by Linkletter (2019) goes as follows: “For example, let's use 10. It's even, so the rule says to divide by 2, taking us to 5.

You can perform calculations and logical comparisons in a table by using formulas. The Formula command is found on the Table Tools, Layout tab, in the Data group. A formula in Word automatically updates when you open the document that contains the formula.

Answer:

x = 4

Step-by-step explanation:

WX = WY

9x - 11 = 7x - 3..........Then subtract 7x to the other side such that  

2x - 11 = -3..........Then add 11 to both sides such that  

2x = 8...........Then divide 2 such that  

x = 4

Answer:

7=?

Step-by-step explanation:

( 10 − 3 ) ? − 6 + 2 ( 8 ) − 64 7=?− 6 + 16 − 64 Simplify by adding and subtracting. 7=?−54

The answer would end up being simplified to ' 7x - 118 '

You're a beautiful person, and worth so much, no matter your race or gender.

You deserve the world and more!

So please don't let anyone say otherwise, there are so many people in this world who love you.

And if someone can't see your beauty then they're rather blind or you're just too bright for them!

Your amazing and I'm so proud of you for making it this far, so keep on with life, stay strong, and live long because I love you!

(Not in a weird way lol I love and care for everyone genuinely)

Hope you have a good day, Loves!

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

The probability that the A1 allele will be fixed is 0.4167, or about 42%.

We are given that;

Number of head= 150

Now,

Substitute all known values into the equation from step 4, then solve for the unknown quantity. We know that N = 150, (A1A1) = 25, (A1A2) = 75, and (A2A2) = 50. Substituting these values into the equations for p and q, we get:

\($$p = \frac{2(25) + (75)}{2(150)}$$$$p = \frac{125}{300}$$$$p = 0.4167$$$$q = \frac{2(50) + (75)}{2(150)}$$$$q = \frac{175}{300}$$$$q = 0.5833$$\)

Substituting these values into the equation for Pfix, we get:

\($$Pfix = \frac{p}{p + q}$$$$Pfix = \frac{0.4167}{0.4167 + 0.5833}$$$$Pfix \approx \frac{0.4167}{1}$$$$Pfix \approx 0.4167$$\)

Therefore, by probability the answer will be 0.4167 or about 42%.

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Therefore , the solution of the given problem of expression comes out to be 1.5 and 2 second is the correct answers.

Mathematical operations such as multiplication, division, addition, and deletion are necessary. If you put them together, you get the following: A formula, some data, and a math operator The components of a statement of fact are values, variables, and operations like additions, elisions, multiplications, and divisions. You can contrast and compare different words and phrases.

Here,

Given :

Expression : 35 -10t

So, velocity will be between 15 and 20 m/s

We have to find the time in seconds:

Thus , from observing the given values ,

we get,

at t=1.5

=> v =35 - 10*1.5 = 35 - 15 =20 m/s

and

at t =2

=> v = 35 - 10*2 = 35 -20 = 15m/s

So , 1.5 and 2 second is the correct answers for given problem of expression.

Therefore , the solution of the given problem of expression comes out to be 1.5 and 2 second is the correct answers.

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Given data

*BE = 4x - 12

*DE = 2x + 8

At the point of intersection AC and BD, "x" is exactly split into halves.

Therefore

Substitute the values in the above expression as

Thus, the value of x equals to 10

the product of a rational number multiplied by itself.

Step-by-step explanation:

as, the traingle is equilateral triangle Which means it's all sides are equal

therefore, VT and BT are x

→ BV = VT = BT = x

hope this answer helps you dear take care!

The stretch of an exponential decay function is y = 2(1/6)^x

An exponential function is represented as

y = ab^x

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/6)^x

Hence, the exponential decay function is y = 2(1/6)^x

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Answer

L' (5, -1)

M' (8, -3)

N' (1, -8)

The sketch of this rotated triangle is presented below

Explanation

Rotating a given coordinate A(x, y) 90° about the origin in the clockwise direction gives a new coordinate A'(y, -x)

So, for each of these,

L (1, 5) → L' (5, -1)

M (3, 8) → M' (8, -3)

N (8, 1) → N' (1, -8)

So, to draw this image, we will mark this new rotated points on the graph, then connect the points to form triangle L'M'N'.

The sketch of this rotated triangle is presented above under 'Answer'

Hope this Helps!!!

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

\(C(x) = 540x + 72120\)

Step-by-step explanation:

Given

Cost = $78,600 when Printing Press = 12

Cost = $82,380 when Printing Press = 19

Required

Determine the linear equation

From the given parameters; Cost is a function of Printing Press

Represent Cost by C and Printing press by x;

This implies that C = f(x)

The given parameters can then be modeled as; \((x, C)\)

\((x_1, C_1) = (12,78600)\)

\((x_2, C_2) = (19,82380)\)

The first step is to calculate the slope, m;

\(m = \frac{C_1 - C_2}{x_1 - x_2}\)

\(m = \frac{78600 - 82380}{12 - 19}\)

\(m = \frac{-3780}{-7}\)

\(m = 540\)

The linear equation can then be calculated using slope formula

\(m = \frac{C- C_2}{x - x_2}\)

Substitute 540 for m and \((x_2, C_2) = (19,82380)\)

\(540 = \frac{C- 82380}{x - 19}\)

Multiply both sides by x - 19

\(540 * (x-19)= \frac{C- 82380}{x - 19} * (x-19)\)

\(540 * (x-19)= C- 82380\)

Open bracket

\(540x - 10260 = C - 82380\)

Add 82380 to both sides

\(540x - 10260 + 82380= C - 82380 + 82380\)

\(540x - 10260 + 82380= C\)

\(540x + 72120= C\)

\(C = 540x + 72120\)

Hence;

\(C(x) = 540x + 72120\)

Answer:

Express into algebraic form

Step-by-step explanation:

10 + 6x = 4x - 4

Answer:

2.29 inches/hour

Step-by-step explanation:

Given that the candle burns at a constant rate.

After time 2.7 hours, candle was 14.3 inches tall.

After time 7.1 hours, candle was 4.2 inches tall.

To find:

The constant rate at which the candle burn.

Solution:

Let the length be represented by \(l\) and time be represented by \(t\).

Let the constant rate be \(m\).

and the initial length be \(L.\)

The equation can be written as:

\(l =mt+L\)

At \(t\) = 2.7 hours , \(l\) = 14.3 inches

\(14.3 =2.7m+L ..... (1)\)

At \(t\) = 7.1 hours , \(l\) = 4.2 inches

\(4.2 =7.1m+L ..... (2)\)

Equation (1) minus (2):

\(10.1=-4.4m\\\Rightarrow m = - 2.29\ inches/hour\)

The candle burns at the rate of 2.29 inches/hour.

The dot product of the vectors is approximately -7157.18 and the angle between the cables is approximately 127 degrees.

F1 is the force of 150 pounds at an angle of 55 degrees, and F2 is the force of 80 pounds at an angle of 170 degrees.

We can break each force vector down into its x and y components using trigonometry:

F1x = 150 cos(55) = 88.83 pounds

F1y = 150 sin(55) = 123.85 pounds

F2x = 80 cos(170) = -80 pounds

F2y = 80 sin(170) = -23.05 pounds

So the component form of each vector is:

F1 = (88.83, 123.85)

F2 = (-80, -23.05)

Part B:

To find the dot product of two vectors, we multiply their corresponding components and then add up the results. So:

F1 · F2 = (88.83)(-80) + (123.85)(-23.05)

= -7157.18

Therefore, the dot product of the vectors is approximately -7157.18.

The dot product of two vectors can be used to find the angle between them using the formula:

cos(θ) = (F1 · F2) / (||F1|| ||F2||)

where ||F1|| and ||F2|| are the magnitudes (lengths) of the vectors. We already know the dot product, so we just need to find the magnitudes:

||F1|| =√88.83² + 123.85² = 150.00 pounds

||F2|| =√-80² + (-23.05)² = 83.05 pounds

Substituting these values into the formula, we get:

cos(θ) = (-7157.18) / (150.00 * 83.05)

= -0.56196

To find the angle itself, we take the inverse cosine (cos^-1) of this value:

θ = cos⁻¹(-0.56196)

= 127 degrees

So the angle between the cables is approximately 127 degrees.

Substituting these values into the formula, we get:

cos(θ) = (-7157.18) / (150.00 × 83.05)

= -0.56196

To find the angle itself, we take the inverse cosine (cos^-1) of this value:

θ = cos⁻¹(-0.56196)

= 127 degrees

So the angle between the cables is approximately 127 degrees.

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Therefore, option A is the correct: the probability cannot be determined since the standard deviation has not been determined specifically as left or right skewed.

The probability that the next Sunday customer will spend at least $40 cannot be determined without additional information about the distribution of customer purchases.

The given information indicates that the distribution is skewed, but does not specify the direction of the skewness. Additionally, the distribution may not necessarily follow a Normal model, which means that we cannot rely on the empirical rule to estimate probabilities based on standard deviations away from the mean.

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This is the required answer <3