What is the value of 2x^2 when x= -3


A. - 18

B. - 12

C. 18

D. 36

​

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

1

Step-by-step explanation:

1. First, let's take any two points from the graph. For this case, I'm going to take (3,0) and (0,-3).

2. To find the slope given two points, we have to apply the formula \(\frac{y_2-y_1}{x_2-x_1}\) and plug in the corresponding values:

Therefore, the slope is 1!

Answer:

the slope is 1

Step-by-step explanation:

use the formula m= y2-y1/x2-x1

Answer:

c I am pretty sure of deep nuts u am playin it c

Answer:

North?

Step-by-step explanation:

Answer:

18 m

Step-by-step explanation:

Perimeter is the sum of all the sides.

A rectangular pool has two sides at 5 1/2 m and two sides at 3 1/2 meters.

Add the whole numbers, then add the halves. Now ad the two parts together.

5 1/2 + 3 1/2 + 5 1/2 + 3 1/2 = 16 + 2 = 18 m

A p-value is a conditional probability—given the null hypothesis is true, it’s the probability of getting a test statistic as extreme or more extreme than the calculated test statistic.

What is p-value ?

A p-value, or probability value, is a number describing how likely it is that your data would have occurred under the null hypothesis of your statistical test.

A very small p-value provides evidence AGAINST the null and in support of the alternative hypothesis . All else constant, the larger the sample size, a positive test statistic will increase in size while a negative test statistic will become more negative.

Hence , A p-value is a conditional probability—given the null hypothesis is true, it’s the probability of getting a test statistic as extreme or more extreme than the calculated test statistic.

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The average effect size of each gene on the trait would be 17.6 / 100 = 0.176 grams, and the minimum number of genes affecting this trait would be estimated as 2.47.

To estimate the minimum number of genes affecting this trait, we can use Falconer's formula:

Vg = (n/2) * (1/n) * (π * a)^2,

where:

Vg is the genotypic variance

n is the number of genes affecting the trait

a is the average effect size of a single gene on the trait

We can rearrange this formula to solve for n:

n = 2 * Vg / (π * a)^2

Given that Vg = 0.88, and the difference in mean phenotype between the two strains is 17.6 grams, we can estimate a as follows:

a = 17.6 / (number of genes affecting the trait)

Substituting a in the formula for n, we get:

n = 2 * Vg / (π * (17.6/n))^2

Simplifying this expression, we get:

n = 2 * 0.88 / (π * (17.6/n))^2

n = 0.5 / (π^2 * (17.6/n)^2)

We can now use trial and error or iterative methods to solve for n. For example, we can plug in different values of n until we find a value that satisfies the equation.

Let's try n = 100:

n = 0.5 / (π^2 * (17.6/100)^2)

n = 0.5 / (3.1416^2 * 0.176^2)

n = 2.47

This means that if 100 genes were involved, the average effect size of each gene on the trait would be 17.6 / 100 = 0.176 grams, and the minimum number of genes affecting this trait would be estimated as 2.47. However, this is just an estimate and the actual number of genes affecting the trait may be different.

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Answer:

\( \frac{20}{101} \)

Step-by-step explanation:

I hope this helps

When testing the population mean (μ) or the difference of means (μ1 – μ2) from independent populations, you should consider the sample size and the known/unknown nature of population standard deviation to decide whether to use the standard normal distribution or a Student's t-distribution.

1. Use the standard normal distribution (z-test) when:
  a) The sample size is large (n ≥ 30) and the population standard deviation (σ) is known.
  b) The population is normally distributed, and the population standard deviation (σ) is known, regardless of the sample size.

2. Use the Student's t-distribution (t-test) when:
  a) The sample size is small (n < 30) and the population standard deviation (σ) is unknown, requiring you to estimate it using the sample standard deviation (s).
  b) The population is normally distributed or approximately normal, and the population standard deviation (σ) is unknown, regardless of the sample size.

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The equation of the line that passes through the point (4,-4) and has a slope of -3 is y = -3x + 8.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the equation of the line that passes through the point (4,-4) and has a slope of -3 can be found as follows;

m = -3

Hence,

y = -3x + b

using (4, -4) let's find the y-intercept.

-4 = -3(4) + b

-4  = - 12 + b

b = -4 + 12

b = 8

Therefore, the equation is y = -3x + 8

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Answer:

136

Step-by-step explanation:

-4 to 10 is 14

14/2=7 each number on top gets multiplied by 7 then subtracted by 4

so 20*7=140-4 136

Answer:

The correct option is;

\(\ \underset{JS}{\rightarrow} \right |\)

Step-by-step explanation:

The given diagram consists of a a starting point, J having a direction passing through the point S and the line has one arrowhead on the right pointing to infinity, which is the symbol for a ray, JS

The denotation of a ray is made by the name of the ray having an overhead arrow as follows;

ray \(\ \underset{JS}{\rightarrow} \right |\)

Option B is correct that is \(\overrightarrow{JS}\).

It has magnitude, direction, and follows the law of vector addition.

As the direction is given from J to S. our JS vector becomes \(\overrightarrow{JS}\).

Thus, option B is correct that is \(\overrightarrow{JS}\).

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Answer:

we dont know what the equation equals yes im using this for free points im having a compition with my friend so ty im srry if i offended you

Step-by-step explanation:

When solving problems that contain exponents, we must know the value of both elements for the result to be correct. This ability can be improved by knowing how to multiply very well.

An exponent is a mathematical expression that tells us that a value must be multiplied by itself a certain number of times, the most common exponent is the square in which a value must be multiplied by itself once, for example:

To improve in problems with exponents we must know how to multiply very well because this is the basic operation that is most related to solving exponents.

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The lowest term of the given expression after simplifying the fractions are 3(x - 2/3)(x - 3)/(x - 5)(x + 3) - 2x(x - 1)/(2x + 1)

1. To reduce the expression x^2 - 9x/28x + 15 to lowest terms, we first factor the numerator and denominator:

x^2 - 9x + 15 = (x - 3)(x - 5)
28x + 15 = 7(4x + 3)

So the expression becomes (x - 3)(x - 5)/7(4x + 3). We cannot simplify this any further, so the answer is (a) x - 3/x + 5.

2. To simplify a^2 - 25/a^2 - 3a - 15, we first factor the numerator and denominator:

a^2 - 25 = (a + 5)(a - 5)
a^2 - 3a - 15 = (a - 5)(a + 3)

So the expression becomes (a + 5)(a - 5)/(a - 5)(a + 3). We can cancel out the (a - 5) term, so the answer is (c) a(a - 5)/3.

3. To simplify 3x^2 - 4x + 6/x^2 - 2x - 15 - 2x^2/2x + 1, we first combine the numerator of the first fraction:

3x^2 - 4x + 6 = 3(x^2 - (4/3)x + 2)

Then we factor the denominator of the first fraction:

x^2 - 2x - 15 = (x - 5)(x + 3)

We can also factor the numerator of the second fraction:

-2x^2 = -2x(x - 1)

And finally, we factor the denominator of the second fraction:

2x + 1 = (2x + 1)

Putting it all together, we have:

3(x - 2/3)(x - 3)/(x - 5)(x + 3) - 2x(x - 1)/(2x + 1)

We cannot simplify this any further, so this is the answer.

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Answer:

Fixed Income Mathematics features material and analysis on yield measures for fixed rate bonds and floating rate bonds, key rate duration and yield curve curvature, cash flow characteristics of collateralized debt obligations, and much more.

Fixed income broadly refers to those types of investment security that pay investors fixed interest or dividend payments until its maturity date. At maturity, investors are repaid the principal amount they had invested. Government and corporate bonds are the most common types of fixed-income products.

Step-by-step explanation:

Some examples are:

Bonds. ...

Savings bonds. ...

Guaranteed Investment Certificates (GICs) ...

Treasury bills. ...

Banker's Acceptances. ...

Step-by-step explanation:

fair coin is two sided Head H and Tail T

thrown 3 times

number of sample space n(s)=2³=>8

sample space (s)={HHH,HHT,HTH,HTT,THH,TTH,THT,TTT}

no of a head and two tails= 3/8

The 26-week average for the two highest quarters is $709.62.

A quarter is a unit of time equal to one-fourth (1/4) of a year or three months. In a standard calendar year, there are four quarters.

To find the 26-week average for the two highest quarters, we need to add up the earnings for those two quarters and divide by the number of weeks in half a year (26 weeks).

First, we need to identify the two highest quarters:

Q1: $9,100

Q2: $8,950

Q3: $9,350

Q4: $8,890

The two highest quarters are Q1 and Q3, with earnings of $9,100 and $9,350, respectively.

Next, we add up the earnings for these two quarters:

$9,100 + $9,350 = $18,450

Then, we divide by the number of weeks in half a year (26 weeks) to get the 26-week average:

$18,450 / 26 = $709.62 (rounded to the nearest cent)

Therefore, the 26-week average for the two highest quarters is $709.62.

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This is where the diagonal line crosses the vertical y axis.

The y intercept always occurs when x = 0. The location of the y intercept in (x,y) form is (0,-1)

Answer:

6cm*4.5cm = 27cm²

5cm*5cm = 25cm²

The first has a greater area - by 2 square centimeters.

Step-by-step explanation:

Answer:5 1/2

Step-by-step explanation:

4 1/2+4 1/2=9

14 1/2 -9=5 1/2

The solution to the initial value problem is √x = (1/3) \(y^{\frac{3}{2} }\) + 2/3.

Given: dx/dy = -2y, y = 3 when x = 0

To solve this, we'll separate the variables and integrate:

dx = -2y dy

Integrating both sides:

∫ dx = ∫ -2y dy

x = - \(y^{2}\) + C

Now we can apply the initial condition y = 3 when x = 0:

0 = - \(3^{2}\) + C

C = -9

Therefore, the solution to the initial value problem is x = - \(y^{2}\) - 9.

Given: dx/dy = xy, y = 1 when x = 0

We'll again separate the variables and integrate:

dx = xy dy

Integrating both sides:

∫ dx = ∫ xy dy

x = (1/2)\(y^{2}\) + C

Applying the initial condition y = 1 when x = 0:

0 = (1/2) \(1^{2}\) + C

C = -1/2

Thus, the solution to the initial value problem is x = (1/2)\(y^{2}\) - 1/2.

Given: dx/dy = \(e^{x+y}\), y = 0 when x = 0

Separating the variables and integrating:

dx = \(e^{x+y}\) dy

∫ dx = ∫ \(e^{x+y}\) dy

x = \(e^{x+y}\) + C

Using the initial condition y = 0 when x = 0:

0 = \(e^{0+0}\) + C

C = -1

Hence, the solution to the initial value problem is x = \(e^{x+y}\) - 1.

Given: dx/dy = √(y/x), y = 1 when x = 1

Again, separating the variables and integrating:

dx/√x = √y dy

Integrating both sides:

2√x = (2/3)\(y^{\frac{3}{2} }\) + C

Simplifying:

√x = (1/3)\(y^{\frac{3}{2} }\) + C

Applying the initial condition y = 1 when x = 1:

1 = (1/3)\(1^{\frac{3}{2} }\) + C

C = 2/3

Therefore, the solution to the initial value problem is √x = (1/3) \(y^{\frac{3}{2} }\) + 2/3.

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Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

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Steps:

Simplify:

5³/5⁷

= 5³/5⁷

= 5*5*5/ 5*5*5*5*5*5*5

=1/5⁴

=1/625 (Decimal: 0.0016)

Steps by Step:

5³/5⁷

=125/5⁷

=125/78125

=1/625

Answer:   =1/625       (Decimal: 0.0016)

Please mark brainliest

Hope this helps.

a.)The probability of getting a sum which is a multiple of 3 = 1/3

b.)The probability of getting a sum which is a multiple of 4 = 1/4

To calculate the probability of the given event, the formula that should be used is given as follows;

Probability = possible event/sample space.

For a.)

sample space = 36

possible event = 12

probability = 12/36 = 1/3

For b.)

sample space = 36

possible event = 9

probability = 9/36 = 1/4

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A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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Answer:

224

Step-by-step explanation:

For the square 6*6 = 36

and for the triangles 8*6*2 = 96

96*2 for 2 triangles is 96*2 = 192

192+36 = 224

The formula for the square is length x width or height x base

The formula for EACH triangle is base x height x 2 or divided by 1/2

I multiplied 96 times 2 because there were 2 triangles

Answer: Is only definable if you can show the table but according to a valid explanation it would be most likely 41

Step-by-step explanation:

Lets say Bob has 17 strawberry, 19 Cola, and 4 blueberry, we can infer there is an equal amount of gumballs of each flavor in the machine; Before bob bought any gumballs there were 180 and if there were only 3 flavors we would divide 180 by 3 and get 60. That means each flavor has 60 of its own flavor and if we take 19 from the 60 cola flavored we can get 41.