x+4y=-12, express in slope-intercept form ​

there are 45,360 distinguishable arrangements of the letters in the word "SASKATOON" and  there are 34,650 distinguishable arrangements of the letters in the word "MISSISSIPPI".

a. SASKATOON:

To determine the number of distinguishable arrangements of the word "SASKATOON", we can use the formula for permutations of indistinguishable objects, which is n!/a!b!c!…, where n is the total number of objects and a, b, c,… are the frequencies of each indistinguishable object. In this case, there are 9 letters in the word "SASKATOON", but some of them are repeated. Specifically, there are 2 S's, 2 A's, and 2 O's. Using the formula, we get:

9!/(2!2!2!) = 9876543/(222) = 45,360

Therefore, there are 45,360 distinguishable arrangements of the letters in the word "SASKATOON".

b. MISSISSIPPI:

To determine the number of distinguishable arrangements of the word "MISSISSIPPI", we can use the same formula for permutations of indistinguishable objects. In this case, there are 11 letters in the word "MISSISSIPPI", but some of them are repeated. Specifically, there are 4 I's, 4 S's, and 2 P's. Using the formula, we get:

11!/(4!4!2!) = 34,650

Therefore, there are 34,650 distinguishable arrangements of the letters in the word "MISSISSIPPI".

In summary, the number of distinguishable arrangements of a word can be found using the formula for permutations of indistinguishable objects, which takes into account the frequency of each repeated letter. By applying this formula to the words "SASKATOON" and "MISSISSIPPI", we find that there are 45,360 and 34,650 distinguishable arrangements, respectively.

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Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

The volume of the container is 576 cubic inches.

To calculate the volume of the container, we need to multiply its length, width, and height. From the given information, we have the dimensions of the container: 2 inches, 6 inches, and 8 inches. Multiplying these values together, we get:

Volume = 2 inches * 6 inches * 8 inches = 96 cubic inches.

However, this calculation does not match the given volume of 576 cubic inches. Therefore, there might be an error or misunderstanding in the information provided. If the volume of the container is indeed 576 cubic inches, it is necessary to reevaluate the dimensions or measurements to ensure accuracy.

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Answer:

y = -20/5 or -4/1 + 20 for the equation

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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The chord, PQ of the circle with center at C and the midpoint of PQ indicates;

(a) The equation of the line l is; 2·y - x + 7 = 0

p = -1, q = 2, r = 7

(b) The equation of the circle is; (x - 3)² + (y + 2)² = 65

A chord is a straight line segment that extends across two points on the circumference of a circle.

The center of the circle, C, the midpoint, M of the segment PQ, and the points points P and Q on the circumference of the circle indicates that the segment CM is the perpendicular bisector of the segment PQ

CM ≅ CM (Reflexive property)

PM ≅ MQ (Definition of the midpoint, M, of PQ)

CP ≅ CQ (The radii of the circle with center C are congruent)

ΔCPM ≅ ΔCQM (Side-Side-Side congruence rule)

∠CMP ≅ ∠CMQ (CPCTC)

∠CMP and ∠CMQ are linear pair angles, therefore;

m∠CMP + m∠CMQ = 180°

m∠CMP + m∠CMP = 180°

2 × m∠CMP = 180°

m∠CMP = 180°/2 = 90°

CM is perpendicular to PG (Definition of perpendicular lines)

The equation of the segment PQ with points P(4, 6), and Q(10, -6), can be found as follows;

The slope of the line is; m = (-6 - 6)/(10 - 4) = -2

Therefore;

y - 6 = -2·(x - 4)

y = -2·x + 14

The slope of the perpendicular segment CM is therefore; -1/(-2) = 1/2

The coordinate of the midpoint of PQ, M = ((4 + 10)/2, (6 + (-6))/2) = (7, 0)

The equation of CM is therefore;

y - 0 = (1/2) × (x - 7)

y = (1/2) × (x - 7)

2·y = x - 7

2·y - x + 7 = 0

The equation of the line l is therefore; 2·y - x + 7 = 0, which is in the form; p·x + q·y + r = 0

p = -1, q = 2, r = 7

(b). The y-coordinate of C is -2,

The point C is on the line l, therefore;

2·y - x + 7 = 0

2 × (-2) - x + 7 = 0

x = 2 × (-2) + 7 = 3

The x-coordinate of the point C is 3

The center of the circle is (3, -2)

The length of the radius of the circle is; r = √[(4 - 3)² + (6 - (-2))²] = √(65)

The standard form of the equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The center of the circle = (3, -2)

r = The length of the radius of the circle = √(65)

The equation of the circle with center C is therefore;

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The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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Answer I do not know i am not there yet i am sorry

Step-by-step explanation:

:(

The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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Answer:

+0.25

Step-by-step explanation:

Calculation to determine the drift of such a process

Using this formula

Drift=(Increases in stock price*50%)- (Decreases in stock price *50%)

Let plug in the formula

Drift = (0.5)(1.25) + (0.5)(-0.75)

Drift =0.625+ (0.375)

Drift = +0.25%

Therefore the drift of such a process is +0.25

Answer:

The answer is -91.  7 times -13 is -91.

MARK ME BRAINLIEST!!

Answer:

Below.

Step-by-step explanation:

0.07x12=0.84 x 2=1.68.

To calculate the Loan to Value (LTV) ratio, we divide the loan amount by the purchase price of the property and express the result as a percentage. LTV = 80%

Given: Purchase price of the building: $8,000,000 Loan amount: $6,400,000 LTV = (Loan amount / Purchase price) * 100 LTV = ($6,400,000 / $8,000,000) * 100 LTV = 0.8 * 100 LTV = 80%

Therefore, the Loan to Value (LTV) ratio in this scenario is 80%. This means that the bank has provided a loan equivalent to 80% of the purchase price of the building.

The remaining 20% of the purchase price, which is $1,600,000 in this case, would be the down payment or equity contribution made by the borrower. Correct answer is 80%

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The value of P(S or T) is 71/110.

What is mutually exclusive event?

If two events cannot happen simultaneously, they are mutually exclusive or discontinuous. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

As given,

S and T are mutually exclusive events. P(S)= 6/11 , P(T)= 1/10.

By using,

P(S ∪ T) = P(S) + P(T) - P(S ∩ T)

              = 6/11 + 1/10 - P(S ∩ T)

              = 71/110 - P(A ∩ T)

But the events S and T are mutually exclusive events.

therefore,  P(S ∩ T) = 0.

So,

P(S ∪ T) = 71/110

Therefore, value of P(S or T) is 71/110.

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Expanding and simplifying the expression:

4 ( p + 6 ) + 3 ( p − 2 ) = 4p + 24 + 3p - 6

= 7p + 18

So, the simplified expression is 7p + 18.

Answer:

\(4(p + 6) + 3(p - 2) \\ \longrightarrow \: 4p + 24 + 3p - 6 \\ solving \: the \: like \: terms \: together \: we \: get \\ \longrightarrow \:\boxed{ 7p + 18}\)

hope helpful! :)

Answer:

See attached image

Step-by-step explanation:

The starting point for an e=inequality will have either an empty of filled-in circle.  When empty, it signifies that the exact point is NOT included.  If the inequality is x < 2, for example, the line would begin at 2, but marked with an empty circle.  If, however, the inequality is x =< 2, then the circle is filled in, signifying that the number 2 is included in the set.

The value of length XW and WV are 20 and 25 respectively.

Similar triangles are triangles that have the same shape, but their sizes may vary. The ratio of corresponding sides of similar triangles are equal.

Therefore XW/VW = XY/XZ

= XW/45 = 24/54

54(XW) = 45× 24

54(XW) = 1080

divide both sides by 54

XW = 1080/54

XW = 20

Therefore WV can be found by subtracting XW for VX

= 45-20 = 25

therefore the value of XW and WV are 20 and 25 respectively.

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The cost of 1 shirt and 1 jeans are respectively $44.20 & $6.70.

In geometry, A system of equations is a collection of two or more equations with the same set of unknown variables. In solving a system of equations, we try to calculate values for each of the unknowns that will satisfy each and every equation in the system.

From the first piece of information, we know that:

3s + 2j = 146

From the second piece of information, we know that:

2s + 5j = 211

We can solve for s and j by using the substitution method.

Let's solve for s in the first equation:

3s + 2j = 146

3s = 146 - 2j

s = (146 - 2j)/3

Now we can substitute this expression for s into the second equation and solve for j:

2s + 5j = 211

2((146 - 2j)/3) + 5j = 211

292/3 - 4j/3 + 5j = 211

(11j/3) = 221/3

j = 221/33

j = 6.6969697

Now that we have the value of j, we can substitute it back into one of the original equations to solve for s:

3s + 2j = 146

3s + 2(6.6969697) = 146

3s + 13.3939394 = 146

3s = 132.6060606

s = 44.2020202 (rounded to 9 decimal places)

Therefore, 1 shirt costs $44.20 and 1 jean costs $6.70.

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Step-by-step explanation:

Probability of A  is  10 + 5  =15

Probability of B is   9 + 5   ( but you already counted the '5')  

 so just count   9

9+ 15 = 24

  this is  24 out of     16 + 10 + 5 + 9 = 40

      or    24/40   which reduces to 3/5   or  .6   or  60%

Using the equation given:

P(A) + P(B) - P(A and B)

  15  + 14    - 5    = 24       this is out of the entire number 40

               24/40 = same as above

By using testing of hypothesis, it can be concluded that

The test which is used to determine if both machines produce the same fraction of defective parts is 2 sample proportion z test

What is testing of hypothesis?

Suppose, there is a data at hand and there is a hypothesis which is to be tested.

Testing of hypothesis is used to decide whether the hypothesis can be tested using the data at hand.

Here, it is tested if both the machines produce the same fraction defective parts

So, there is a comparision between two sample proportion and the test is done at the same time.

So the test used here is the 2 sample proportion z test

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The vector d is approximately |d| = 23.283 at an angle of -10.09 degrees.To find the sum of the vectors analytically, you can add their corresponding components together.

Given: |a| = 8.9 at 26.6 degrees,|b| = 14.1 at 172.9 degrees ,|c| = 6.1 at -80.5 degrees. The x-component of vector d is the sum of the x-components of vectors a, b, and c:

d_x = a_x + b_x + c_x,d_x = 7.958 + 13.96 + 1.007

d_x = 22.925

The y-component of vector d is the sum of the y-components of vectors a, b, and c:

d_y = a_y + b_y + c_y

d_y = 3.958 + (-1.987) + (-6.016)

d_y = -4.045

Therefore, vector d = 22.925 at an angle of arctan(d_y / d_x) degrees.

The magnitude of vector d, |d|, can be calculated using the Pythagorean theorem:

|d| = \(sqrt(d_x^2 + d_y^2)\)

|d| = \(sqrt((22.925)^2 + (-4.045)^2)\)

|d| = sqrt(525.664025 + 16.363025)

|d| = \(sqrt(542.02705)\)

|d| ≈ 23.283

The angle of vector d can be calculated using the inverse tangent (arctan) function: angle_d = arctan(d_y / d_x)

angle_d = arctan(-4.045 / 22.925)

angle_d ≈ -10.09 degrees (approximately)

Therefore, the vector d is approximately |d| = 23.283 at an angle of -10.09 degrees.

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The answer choice which could be the first step in solving the equation represented by the model is; Add 4 positive unit tiles to each side.

It follows from the task content that the first step in solving the equation represented by the model be identified.

Since the given model is;

3 x tiles and 4 negative 1 tiles = 2 x tiles and 5 positive 1 tiles;

The model can be represented algebraically as follows;

3x - 4 = 2x + 5

Hence, in a bid to solve the equation; the first step could be to add 4 to both sides of the equation so that we have;

3x - 4 + 4 = 2x + 5 + 4.

3x = 2x + 9.

Consequently, the choice which could be the first step to solving the equation represented by the model is; Add 4 positive unit tiles to each side.

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Answer:

a

Step-by-step explanation:

Answer:

Simplify both of them

Step-by-step explanation:

After simplify we get both ratio 2:7 and 10000:35000 are equal.

What is Ratio?

A ratio indicates how many times one number contain in another number.

Given that;

Both ratio are;

2:7 and 10000:35000

Now, Solve the ratio for simplifying;

Ratios are 2:7 and 10000:35000

First ratio is 2 : 7.

Clearly, This is already in simplest form.

Second ratio is 10000:35000

It can be written as;

10000:35000 = 10000/35000

                     = 10/35

                     = 2/7

Thus, After simplify we get both ratio 2:7 and 10000:35000 are equal.

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Answer:

Use the distributive property and it will help a lot.

Step-by-step explanation:no solution

Answer:

Zero

Step-by-step explanation:

First you do (3-2) which is one then you multiply that by five which gives you 5. Then you will subtract 5 from each side and that leaves you with 15a=0. Divide both sides and you’ve got zero

Answer:

2. The Second Term should be positive, 3. The last term should be -1 1/2, not -1 1/4. and 4. He added -8 and -2 instead of multiplying -8 by -2.

Step-by-step explanation:

Answer:

what you mean about circles but i do know probability

Step-by-step explanation:

conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

The single trigonometric function of the given expression is sin(3pi/4).

What is a trigonometric function?

A right triangle's angle serves as the domain input value for the basic six trigonometric functions, which have a range-based numerical result.

Trigonometry uses the first six fundamental trigonometric functions. Trigonometric ratios are these functions. The six fundamental trigonometric functions are the sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function.

Given expression, 2 sine (startfraction 3 pi over 8 endfraction) cosine (startfraction 3 pi over 8 endfraction)

We can write the given above expression as a single trigonometric function is:

2sin(3pi/8)*cos(3pi/8)  = sin 2*(3pi/8)

                                     = sin(3pi/4)

Hence, the required single trigonometric function is sin(3pi/4).

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Answer:

sin(3pi/4).

Step-by-step explanation:

Answer:

V≈268.08cm³

Step-by-step explanation:

1. 12a²b² + -7a²b² + 9a²b²

= 14a²b² (the terms a²b² are like terms so don't look at them, just add 12 + (-7) + 9.

= 14 (ab)² (you can write like this too because both a & b are squared).

2. y² - (-5y²)

= 6y² (subtract -5 from 1, y² is the like term).

The sugar concentration would be approximately 62.5%.

To find the concentration of sugar in the solution, we need to use the formula:

In this case, the solute is sugar and the solvent is water. We are given that the mass of sugar is 50 grams and the mass of water is 30 grams. However, we need to convert the mass of water to volume since we need the volume of the entire solution to calculate the concentration.

We can assume that the density of water is 1 g/mL, so the volume of water is 30 mL. The total volume of the solution is therefore 50 mL + 30 mL = 80 mL.

Now we can use the formula to find the concentration of sugar:

So the concentration of sugar in the solution is approximately 0.625 grams per milliliter.

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