3(x+y)2-(xy)2
X=3
Y=5
Please write it in full

The correct explanation is (4). The spinner is likely fair, since in the output the player wins once or twice in the majority of the simulations.

The spinner is considered fair if the probability of winning each spin is 0.1, which means that the player should win about 1 out of every 10 spins. The output of the simulation shows that in the majority of the simulations, the player won once or twice, which is consistent with the expected probability of winning.

The fact that Miles lost all 10 times when he spun the spinner is just a matter of chance. It is possible to lose 10 times in a row even if the spinner is fair. In fact, the probability of losing 10 times in a row is about 0.1%, which is not very likely, but it is still possible.

Therefore, there is no evidence to suggest that the spinner is unfair. It is more likely that Miles simply lost due to chance.

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2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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Answer:

q = 8

Step-by-step explanation:

-q/2 + 17 = 13

subtract 17 from each side to get:

-q/2 = -4

to isolate the 'q', multiply each side by -2 to get:

q = 8

The probability of picking a prime or a divisor of 24 from the given cards is ¾

By analysing the given cards which ones are prime or a divisor of 24.
1. Prime number = 7
2. Divisor of 24 = 6,8

There are 2 cards (6 and 8) that are divisors of 24 and one card (7) that is prime. This means 3 cards out of the 4 meet the criteria.

To find the probability of this event, we can use:

P(prime or divisor of 24) =    

  Number of outcomes that make an event  

  Total number of outcomes of the experiment                      

P(prime or divisor of 24) = ¾

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Answer: 6 cannot go into 3 because it is a larger number but 3 can go into 6 twice because 3x2=6

Answer:

If you can go into fractions 6 can go into 3 half a time, but if you can't do that then say 6 can't go into 3.

Step-by-step explanation:

Answer:

a = r + d - c

Step-by-step explanation:

a + c = r + d

You want a alone on the left side. c is being added to a.

To get rid of the c, you must subtract c from the left side, but the rule of equations is that you must do the same operation to both sides of the equation. We subtract c from both sides of the equation.

a + c - c = r + d - c

c - c = 0, so the c is eliminated from the left side.

We now have

a + 0 = r + d - c

a = r + d - c

Answer:

a = r + d - c

Step-by-step explanation:

All we do is transpose c to the other side to isolate a.

In fractional form, the answer is 397/55 and in decimal form it is 7.2181.

The equation can be written as 22/5+k= -31/11

transferring 22/5 to the R.H.S., the sign will turn negative.

thus, k=-31/11-22/5

Further solving the equation by taking L.C.M. of 11 and 5 which comes to 55,

k=(155+242)/55

we get the value of k= 397/55

If we convert the given value of k into decimal, it can also be written as, 7.2181.

Thus, the value of k can b expressed in both numerical and fractional forms.

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Answer:

(x - 2) or (x + 5)

Step-by-step explanation:

Step 1: Write quadratic

x² + 3x - 10

Step 2: Factor

(x - 2)(x + 5)

Answer:  x2 + 3x – 10= (x+5)⋅(x−2)= -6

so x=-6

Step-by-step explanation:  "x2"   was replaced by   "x^2".

Factoring  x2+3x-10  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -10  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -10 = -10  

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   3 .

     -10    +    1    =    -9  

     -5    +    2    =    -3  

     -2    +    5    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  5  

                    x2 - 2x + 5x - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   5 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+5)  •  (x-2)

            Which is the desired factorization

so (x + 5) • (x - 2)= x=-6

Answer:

If the first day is January 1st, 2017 on a "sunday"(Not saturday), that means that the last day is December 31, 2017 on a sunday. (Pog moment for mee)

Step-by-step explanation:

Answer:

x => -7

Step-by-step explanation:

to solve this equation you should start by subtract 6 on both sides

-2x <= 3x + 35

then subtract 3x to both sides

-5x <= 35

then you divide both sides by -5

x => -7

you must change the signs because you multiplied it by a negative

By observing diagram clearly we can observe that there is a right angled triangle with :

So, to find hypotenuse, let's use Pythagoras' theorem :

\( \large \underline{\boxed{\bf{H^2 = B^2 + P^2}}}\)

\( \tt : \implies c^2 = 3^2 + 3^2\)

\( \tt : \implies c^2 = 9 + 9\)

\( \tt : \implies c^2 = 18\)

\( \tt : \implies c = \sqrt{18}\)

Hence, value of c is √18.

Slope of lines 3x - 5y = 2 and 3x + 5y = -2 are m₁ = 3/5 and m₂ = -3/5 respectively.

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx. Therefore, the change in y-coordinate for a change in x-coordinate can be written as

Line slope is a measure of the steepness or direction of a line in the coordinate plane.  

m = Δy/Δx

where,m is the slope

Given,

equations of the line

3x - 5y = 2

Moving 3x to RHS
-5y = -3x + 2

y = (3/5)x - 2/5

comparing with slope intercept equation of the line y = mx + c

slope m₁ = 3/5

Now, equation

3x + 5y = -2

moving 3x to RHS

5y = -3x - 2

y = (-3/5)x - 2

comparing with slope intercept equation of the line y = mx + c

slope m₂ = -3/5

Hence, m₁ = 3/5 and m₂ = -3/5 are slope of lines 3x - 5y = 2 and 3x + 5y = -2 respectively.

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Answer:

a) The next two terms are: 13, 16

b) nth term of the sequence is \(\mathbf{a_n=3n-5}\)

Step-by-step explanation:

a) Find the next two terms of sequence: -2,1,4,7 and 10

The common difference d: a₂-a₁ = 1-(-2)= 3

a₃-a₂= 4-1 = 3

a₄-a₃=7-4=3

So, common difference is : 3

Next two terms are: 10+3 = 13

13+3= 16

The next two terms are: 13, 16

b) Find nth term of the sequence

The nth term can be found using formula:

\(a_n=a_1+(n-1)d\)

where a₁=First term and d=Common Difference

In the sequence given we have a₁=-2 and d=3

So, the nth term will be:

\(a_n=a_1+(n-1)d\\a_n=-2+(n-1)3\\a_n=-2+3n-3\\a_n=3n-5\)

So, nth term of the sequence is \(\mathbf{a_n=3n-5}\)

To collect the necessary data, you would need to gather information such as:

Demand data: Collect historical sales data to analyze patterns, seasonality, and trends in customer demand. This data helps in estimating future demand and forecasting sales.

Lead time data: Determine the time it takes for the inventory to be replenished once an order is placed. This includes gathering data on supplier lead times, shipping durations, and any potential delays.

Holding cost data: Calculate the cost of holding inventory over a specific period, considering expenses like warehousing, storage, insurance, and depreciation. This data helps in evaluating the financial impact of inventory holding.

Ordering cost data: Identify the costs associated with placing orders, such as administrative expenses, transportation costs, and any applicable fees. This information is necessary for assessing the expenses incurred when restocking inventory.

Stockout cost data: Quantify the potential costs of stockouts, including lost sales, customer dissatisfaction, and penalties for failing to meet service level agreements. Understanding the impact of stockouts assists in determining the trade-off between holding excess inventory and the risk of stockouts.

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To collect the necessary data, you would need to gather information such as:

Demand data:

Collect historical sales data to analyze patterns, seasonality, and trends in customer demand. This data helps in estimating future demand and forecasting sales.

Lead time data:

Determine the time it takes for the inventory to be replenished once an order is placed. This includes gathering data on supplier lead times, shipping durations, and any potential delays.

Holding cost data:

Calculate the cost of holding inventory over a specific period, considering expenses like warehousing, storage, insurance, and depreciation. This data helps in evaluating the financial impact of inventory holding.

Ordering cost data:

Identify the costs associated with placing orders, such as administrative expenses, transportation costs, and any applicable fees. This information is necessary for assessing the expenses incurred when restocking inventory.

Stockout cost data:

Quantify the potential costs of stockouts, including lost sales, customer dissatisfaction, and penalties for failing to meet service level agreements.

Understanding the impact of stockouts assists in determining the trade-off between holding excess inventory and the risk of stockouts.

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The product of prime factors of 900 in index form is \(2^{2} *3^{2} *5^{2}\) and the ascending order of prime factors is 2, 3 and 5.

According to the question,

We have the following number:

900

This number needs to prime factorized. So, first it can be divided by 2 (450), again 450 can be divided by 2 (225), it can be divided by 3 (75), it can again be divided by 3 (25), this can be divided by 5 (5) and it will be finally divided by 5.

So, we have the following product for the prime factors of 900:

2*2*3*3*5*5

In index form, it will be written as follows:

\(2^{2} *3^{2} *5^{2}\)

Now, we know that in ascending order, numbers are arranged from smallest to largest.

So, we have the following order:

2, 3 and 5

Hence, the product of prime factors of 900 in index form is \(2^{2} *3^{2} *5^{2}\) and the ascending order of prime factors is 2, 3 and 5.

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Answer:

A) v = T/2 - 5

Step-by-step explanation:

T = 10+2v

2v = T-10

v = (T-10)/2 = T/2-5

The equation that describes no. of DVDs that Ingrid can rent is A.              v = (T/2) - 5.

An equation states that terms on both sides of the equality sign are equal.

The monthly membership costs 10 dollars, and The rent for each DVD costs 2 dollars.

No. of DVDs that can be rented is denoted by v based on T.

The equation that describes the total cost of renting DVDs is,

T = 2v + 10.

∴ The equation that describes no. of DVDs that can be rented is

2v = T  - 10.

v = (T/2) - 5.

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The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.

The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.

Using the table provided, we can calculate the missing values:

Variable Cost:

For 0 pizzas, the variable cost is $0.

For 1 pizza, the variable cost is $10.

For 2 pizzas, the variable cost is $12.

For 3 pizzas, the variable cost is $2.

For 4 pizzas, the variable cost is $1.

For 5 pizzas, the variable cost is $2.

For 6 pizzas, the variable cost is $3.

For 7 pizzas, the variable cost is $13.

For 8 pizzas, the variable cost is $16.

For 9 pizzas, the variable cost is $3.

For 10 pizzas, the variable cost is $6.

For 11 pizzas, the variable cost is $4.

Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.

Average Variable Cost:

To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.

Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.

Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.

This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.

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Answer:

the regression equation y = 5x + 23 is true.

The number 23 represents the fixed or baseline number of people attending the picnic, regardless of the number of flyers used to advertise it (x).

what is regression?

Regression in mathematics refers to a statistical analysis method used to model the relationship between variables. It aims to find the best-fitting mathematical function that describes the relationship between a dependent variable (also known as the response variable) and one or more independent variables (also known as predictor variables or features).

The purpose of regression analysis is to estimate the parameters of the mathematical function that minimize the difference between the predicted values and the actual observed values of the dependent variable. This allows us to make predictions or draw inferences about the relationship between variables based on the available data.

There are different types of regression analysis, including linear regression, polynomial regression, multiple regression, logistic regression, and more. Each type is suited for different types of relationships between variables and has its own assumptions and techniques for parameter estimation.

Regression analysis is widely used in various fields, such as economics, finance, social sciences, engineering, and machine learning, to analyze and understand the relationship between variables, make predictions, and inform decision-making processes.

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Answer:

The answer I got was 2. hope that helps.

Step-by-step explanation:

By using given figure, x=9/4 and the length of GH = 21.75.

What is the length ?

Here, in given figure,

BG≈GF and CH≈HE

now by using these similarities, we can write as,

BG≈GF therfore, \(\frac{GF}{BG}\) = 1:1

\(\frac{GF}{BF}\)=\(\frac{4x+8}{34}\)

1/2=\(\frac{4x+8}{34}\)

8x+16=34

8x= 18

x=9/4

if x=9/4 then,

GH= 7x+6 = 7(9/4)+6 =63/4+6 =\(\frac{63+24}{4}\) = 21.75

What is similarity of sides?

similarity of sides refers to the property of two geometric shapes or figures having the same shape but not necessarily the same size. More specifically, two shapes are said to be similar if their corresponding angles are congruent and their corresponding sides are proportional in length.

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Answer:

13.5

Step-by-step explanation:

a= (a+b)/2 x h

108=(6+10)/2 xh

108=8xh

h=13.5

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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Answer:

Step-by-step explanation:

x + y + n = 576

When something is 25% larger than something else, the effect is the same as multiplying by 1.25. Let's try it with an example

20 + (25/100)* 20 = 20 + 500/100 = 20 + 5 = 25. Now if you multiply 20 * 1.25 you get 25 which is just what you should get.

n = 1.25(x + y)                    Divide by 1.25

n / 1.25 = x + y                   Substitute n / 1.25 for x + y in the above equation    

n/1.25 + n = 576                Multiply everything by 1.25  

n + 1.25n = 576*1.25         Combine the left to get 2.25

2.25 n = 576 * 1.25           Divide by 2.25

n = 576*1.25 / 2.25    

n = 320

For the vector field F(x, y) = (18x + 3y)i + M(x, y)j to be conservative, the correct answer is M(x, y) = -8x + 18y.

A vector field F(x, y) is said to be conservative if it can be expressed as the gradient of a scalar function, also known as a potential function. In other words, if F(x, y) = ∇f(x, y) for some function f(x, y), then F(x, y) is conservative.

In this case, the given vector field is F(x, y) = (18x + 3y)i + M(x, y)j, where M(x, y) represents the unknown component. To determine the correct form of M(x, y) for F(x, y) to be conservative, we need to examine the y-component.

Comparing the y-component of F(x, y) with the partial derivative ∂f/∂y, we find that M(x, y) must satisfy ∂f/∂y = 3. By integrating this partial derivative with respect to y, we get M(x, y) = -8x + 18y + C, where C is a constant.

Therefore, the correct answer is M(x, y) = -8x + 18y, which ensures that the vector field F(x, y) = (18x + 3y)i + M(x, y)j is conservative.

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Answer:

5.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 exponent 4

\( = {3}^{4} \)

= 3 × 3 × 3 × 3

= 81 (Ans)

The price after the discount but before tax, to the nearest dollar and cent is $24.

Discounts are price reductions that store owners make on items or services that are otherwise priced as marked. This portion of the refund is typically provided to boost sales or get rid of excess inventory. The price of an item as stated by the manufacturer or seller, without any price decrease, is known as the List price or Marked Price. After any discounts or price reductions from the list price, the selling price is the final price at which an item is actually sold. "Off",

Discount is equal to List Price – Selling Price.

Given that, the store was offering a 40% discount.

The discount on the price tag of $40 is:

Discount = 40 (40/100) = $16.

The new price after the discount but before tax is:

New price = 40 - 16

New price = $24.

Hence, the price after the discount but before tax, to the nearest dollar and cent is $24.

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