Sales A store sells three kinds of pencils and the first matrix below shows the prices, in dollars, for each type. The second matrix shows the quantity sold for each type. Explain how you can find the total sales using the two matrices.

Type

Type [A B C][3 4 2 ] ABC [20 10 15]

Answer:

Obtuse

Step-by-step explanation:

square the 2 smaller side lengths.  10^2+11^2= 221.  If you square the longer side length, you get 225.  15^=225.  

An acute triangle is when the 2 smaller side lengths are greater

A right triangle is when the 2 smaller side lengths are equal

An obtuse triangle is when the 2 smaller side lengths are less.

221 is less than 225, making it obtuse.

Answer:

SCALENE TRIANGLE

Step-by-step explanation:

Your lack of cogscitis has a previous probability of 0.5 according to Dr. B.

Prior probability quantifies how likely a theory is to be correct before any supporting data are taken into account. Your lack of cognitis has a previous probability of 0.5 according to Dr. B. This means that according to Doctor B, there is a 50/50 likelihood that you do not have cognitis before any supporting evidence is considered. This impartial viewpoint is frequently employed in scientific research and medical diagnostics. Prior probability is a crucial component of Bayesian inference, which is used to update a hypothesis' probability after all available data has been considered. Prior probability can help scientists and medical practitioners make better decisions.

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The solution of the equation is,

⇒ x = - 4, 6

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The equation is,

⇒ x² - 2x - 24 = 0

Now, We can simplify the equation as,

⇒ x² - 2x - 24 = 0

⇒ x² - (6 - 4)x - 24 = 0

⇒ x² - 6x + 4x - 24 = 0

⇒ x (x - 6) + 4 (x - 6) = 0

⇒ (x + 4) (x - 6) = 0

⇒ x = - 4, 6

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The price elasticity of demand (PED) for the logo T-shirts is 1.67, indicating that the demand for T-shirts is elastic. Lowering the price from $15 to $10 increased the total revenue, suggesting that the T-shirt made a good decision in lowering the price. This is because the price change led to a significant increase in quantity demanded and overall revenue.

To calculate the price elasticity of demand (PED), we can use the following formula:

PED = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))

Given that Q1 = 25, Q2 = 50, P1 = $15, and P2 = $10, we can substitute these values into the formula:

PED = ((50 - 25) / ((50 + 25) / 2)) / (($10 - $15) / (($10 + $15) / 2))

Simplifying this expression:

PED = (25 / 37.5) / (-5 / 12.5)

PED = (-2/3) * (-2.5) = 1.67

The price elasticity of demand (PED) for the logo T-shirts is 1.67.

Since PED is greater than 1, it indicates that the demand for T-shirts is elastic. This means that a decrease in price by 1% will result in a greater than 1% increase in quantity demanded. To determine if lowering the price was a good decision, we can analyze the effect on total revenue. The price-total revenue test states that:

If PED is elastic (greater than 1), a decrease in price will lead to an increase in total revenue.

If PED is inelastic (less than 1), a decrease in price will lead to a decrease in total revenue.

If PED is unit elastic (equal to 1), a change in price will have no effect on total revenue.

Let's calculate the total revenue at both prices:

Total Revenue at $15 = $15 * 25 = $375

Total Revenue at $10 = $10 * 50 = $500

Comparing the total revenue at each price, we can see that lowering the price from $15 to $10 increased the total revenue from $375 to $500. Therefore, the T-shirt made a good decision in lowering the price because it led to an increase in total revenue.

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We can proceed with finding a 99% confidence interval for the percentage of all students at this particular college who are left-handed because Np=472.23, which is greater than 10, and N(1-p)=3833.77, which is also greater than 10.

There are two conditions that we need to check before proceeding with finding an interval:
1. Np>10
2. N(1-p)>10

For calculating the confidence interval for the percentage of all students at a particular college who are left-handed, we need to check two conditions:
1. The sample size (n) should be large enough. Since the sample size is greater than 30, we can use the normal distribution for calculation.
2. We need to check the proportion of the population who are left-handed. In this case, the proportion of left-handed students in the sample is 19/150=0.1267.

Therefore, we can use the normal distribution to calculate the confidence interval only if the following two conditions are met:
1. Np>10, where n is the sample size and p is the proportion of the population who are left-handed. In this case, Np=4293*0.11=472.23, which is greater than 10.
2. N(1-p)>10. In this case, N(1-p)=4293*(1-0.11)=3833.77, which is greater than 10.

Therefore, we can proceed with finding a 99% confidence interval for the percentage of all students at this particular college who are left-handed.

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\(\ln(3x+2) = 3x\\\\\implies \log_e (3x+2) = 3x\\\\\implies e^{3x} = 3x+2\)

The vertical asymptotes appear at x = 4 and x = -3.

From the information,

x² - x - 12 = 0

(x - 4)(x + 3) = 0

x = 4 or x = -3

The vertical asymptotes therefore appear at x = 4 and x = -3.

We must think about what happens to the function when x gets closer to infinity and negative infinity in order to locate the horizontal asymptotes.

The x² term in the numerator will predominate the x term as x increases significantly in either the positive or negative direction, while the constant term will become insignificant. As a result, the function's value will be close to that of the fraction:

f(x) = (x² + 4 x -21) / (x2- x -12) approaches negative infinity or infinity. The horizontal asymptote can be determined by polynomial long division or synthetic division and is y = 1

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Answer;13

Step-by-step explanation:

13 bc she was adding

Answer:

So he could become a travel burro.

Step-by-step explanation:

The solution to some of the algebraic expressions in the excerpt titled "Why did the donkey get a passport?" is 8x² - 3x + 17 and 2x² + 9x + 3

Why did the donkey get a passport is a title for a series of algebraic expressions that need to be solved.

An algebraic expression is a mathematical expression that comprises integers, variables, and arithmetic operations.

In the title "Why did the donkey get a passport?", we have some of the following questions:

Simplifying the algebraic expressions, we have:

1.

8x² + 2x - 5x + 17

8x² - 3x + 17

2.

4 - 3x² - 9x - 7 + x²

By rearrangement

x² - 3x² - 9x -7 + 4

-2x² - 9x - 3

Multiply through by (-)

2x² + 9x + 3

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Answer:

How are you supposed to work this out? There is only 1 number then the rest you have to figure out...

Step-by-step explanation:

Im sorry i don't know how to work this :/

You can report this if you want Idc

-Cutepie465

Answer:

maybe a. (b-c)=ab-ac (but im not sure)

Answer:

The second one I think

Step-by-step explanation:

Answer:

Center: (−3,2)

Radius: 3

Step-by-step explanation:

Answer:

sin (0.35) = 0.57638, cos (0.35) = 0.96512, and tan (0.35) = 0.67578

These values can be found by going to the 'Calculator' tab and entering the values for 'Sine', 'Cosine' and 'Tangent' as shown above.

This is the general solution to the given differential equation using separation of variables.

To solve the given differential equation using separation of variables, we'll rearrange the equation and separate the variables:

dy / dx = (xy + 8y - x - 8) / (xy - 7y + x - 7)

First, we'll rewrite the numerator and denominator separately:

dy / dx = [(x - 1)(y + 8)] / [(x - 1)(y - 7)]

Next, we can cancel out the common factor (x - 1) in both the numerator and denominator:

dy / dx = (y + 8) / (y - 7)

Now, we'll separate the variables by multiplying both sides by (y - 7):

(y - 7) dy = (y + 8) dx

To solve the equation, we'll integrate both sides:

∫ (y - 7) dy = ∫ (y + 8) dx

Integrating the left side with respect to y:

(1/2) y^2 - 7y = ∫ (y + 8) dx

Simplifying the right side:

(1/2) y^2 - 7y = xy + 8x + C

where C is the constant of integration.

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you own 15 cds. you want to randomly arrange 8 of them in a cd rack.

The probability of putting 8 CDs in alphabetical order from a total of 15 CDs is zero.

Probability is the field of mathematics concerned with the likelihood of a certain event occurring. It is used to calculate the probability of a specific result or the frequency with which an event occurs. Probability can be stated as a decimal, fraction, or percentage.

The binomial coefficient "15 choose 8" gives the number of possibilities to choose 8 CDs out of 15, which may be computed as 15!/(8! * (15-8)!).

There are only eight ways to organize eight CDs in alphabetical order.

As a result, the chance of ordering 8 CDs alphabetically out of 15 CDs is (8!)/(15!/(8! * (15-8)!)) = (8!)/(15!/(8! * (15-8)!)) = 0 since the denominator is greater than the numerator.

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The probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.

To find the probability that a senior takes the bus to school every day given that he or she has a driver's license, we can use conditional probability.

Let's denote the event that a senior has a driver's license as A and the event that a senior takes the bus to school every day as B. We want to find the probability of event B given event A, denoted as P(B|A).

We are given the following information:

The conditional probability formula states that P(B|A) = P(A ∩ B) / P(A).

Substituting the given values, we have:

P(B|A) = P(A ∩ B) / P(A) = 0.14 / 0.84 ≈ 0.1667

To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver's license, is approximately 17%.

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The probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.

To find the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, we need to use the concept of conditional probability. Conditional probability is the probability of one event happening given that another event has already occurred. In this case, we want to find the probability of taking the bus to school every day, given that the student has a driver’s license.

We can use the formula:

P(A|B) = P(A and B) / P(B)

where P(A|B) is the probability of event A happening given that event B has happened, P(A and B) is the probability of both events A and B happening, and P(B) is the probability of event B happening.

In the given problem, 84% of the seniors have driver’s licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver’s licenses and take the bus to school every day. We want to find the probability of taking the bus every day, given that the student has a driver’s license.

Plugging in the values into the formula:

P(Taking the bus every day | Having a driver’s license) = P(Taking the bus every day and Having a driver’s license) / P(Having a driver’s license)

P(Taking the bus every day | Having a driver’s license) = 0.14 / 0.84 ≈ 0.1667

To the nearest whole percent, the probability that a senior takes the bus to school every day, given that he or she has a driver’s license, is 17%.

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Answer:

Dnnd

Step-by-step explanation:

Answer:

The lateral faces meet at a common vertex. The height of the pyramid is the perpendicular distance from the base to the vertex. A pyramid is a regular pyramid if its ... A triangular pyramid has a triangle base. regular pyramid. A right pyramid is ...

Missing

Step-by-step explanation:

The total length of the shelf is 37.81 meters.

Anton needs 2 boards to make one shelf. One board is 890 cm long and the other is 28.91 meters long. We need to find the total length of the shelf. To solve this problem, we need to convert the length of one board into the same unit as the other board.890 cm is equal to 8.90 meters (1 meter = 100 cm). Therefore, the total length of both boards is:8.90 meters + 28.91 meters = 37.81 metersThus, the total length of the shelf is 37.81 meters. This means that Anton needs 37.81 meters of material to make one shelf that is composed of two boards (one 8.90 meters long and one 28.91 meters long).The answer is 37.81 meters.

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The statement "If a function is differentiable, then it is continuous" is generally true. In summary, if a function is differentiable at a point, it must also be continuous at that point.

Differentiability is a stronger condition than continuity. If a function is differentiable at a point, it means that it has a derivative at that point, indicating the existence of a well-defined tangent line.

A key property of differentiability is that it implies continuity. In other words, if a function is differentiable at a point, it must also be continuous at that point.

On the other hand, a function can be continuous without being differentiable. Continuous functions have no abrupt jumps, holes, or vertical asymptotes in their graphs. However, they may have corners, cusps, or vertical tangents, which prevent them from being differentiable at those points. Therefore, while differentiability guarantees continuity, continuity does not necessarily imply differentiability.

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Complete question - Write the conserve and contrapositive of the following statement- "If a function is differentiable then it is continuous."

Answer:

x = 4

Step-by-step explanation:

2(x + 8) = x + 20

2x + 16 = x + 20

-x           -x

x + 16 = 20

   -16     -16

x = 4

Answer:

x=4

Step-by-step explanation:

2x  + 16 = x + 20

-x           -x

1x + 16 = 20

   - 16 = -16

1x = 4

1      1 = 4    (x=4)

The energy of each photon is:
a) 239.3 kJ/mol
b) \(4.97 * 10^-4 kJ/mol\)
c) \(5.07 * 10^-4 kJ/mol\)

To calculate the energy of each photon in kilojoules per mole, we'll use the following equation:
E = h × ν × (Avogadro's number) / 1000
where E is the energy, h is Planck's constant (6.626 × 10^-34 Js), ν is the frequency in \(s^-1,\) and Avogadro's number is \(6.022 * 10^23 mol^-1.\)

For part c, we'll first convert the wavelength to frequency using the speed of light equation:
ν = c / λ
where c is the speed of light (3.00 × 10^8 m/s) and λ is the wavelength in meters.
a) ν = \(5.92 * 10^19 s^-1\)
E = \((6.626 * 10^-34 Js) * (5.92 * 10^19 s^-1) * (6.022 * 10^23 mol^-1) / 1000\)
E ≈ 239.3 kJ/mol
b) ν \(= 1.24 * 10^6 s^-1\)
E =\((6.626 * 10^-34 Js)\) * \((1.24 * 10^6 s^-1)\) * \((6.022 * 10^23 mol^-1) / 1000\)
E ≈ 4.97 × 10^-4 kJ/mol
c) λ = 265 m
ν =\((3.00 * 10^8 m/s) / (265 m)\)
ν ≈ 1.13 × 10^6 s^-1
E = \((6.626 * 10^-34 Js)\) *\((1.13 * 10^6 s^-1)\) * \((6.022 * 10^23 mol^-1) / 1000\)
E ≈ 5.07 × 10^-4 kJ/mol.

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Answer:

78.3% which would be a C+

Step-by-step explanation:

If the project was worth 20% of your grade and you got 50% on that project, we can multiply the decimal values of these percentages together to know exactly by how much your grade will drop.

0.2 * 0.5 = 0.1 or 10%

Now, we see that your grade will drop 10%. Meaning, that from your 87% you will actually have only 90% of that which is...

87 * 0.90 = 78.3

Therefore, your grade will go down to a 78.3% which would be a C+

The c is equal to half of the definite integral of the function over the interval [0, 2].

To determine c such that f(c) is the average value of the function on the interval [0, 2], we can use the formula for the average value of a function:

avg = 1/(b-a) * ∫(a to b) f(x) dx

In this case, a = 0 and b = 2, so the formula becomes:

avg = 1/2 * ∫(0 to 2) f(x) dx

We want to find the value of c such that f(c) = avg, so we can set these two expressions equal to each other and solve for c:

f(c) = avg
f(c) = 1/2 * ∫(0 to 2) f(x) dx

We can then use calculus to solve for c by finding the derivative of both sides with respect to c and setting them equal to each other:

f'(c) = 1/2 * (f(2) - f(0))

Solving for c gives us:

c = (1/2) * ∫(0 to 2) f(x) dx

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Answer:

D. The family will likely have enough money. They will have saved $19,200 and have accumulated interest.

Step-by-step explanation:

Got 100% on edge.

When we measure a ECG waveform the large boxes represents 0.2 seconds.

To determine the measurements of the big box on ECG paper, we need to consider the standard calibration of ECG paper.

In most ECG papers, the standard calibration is as follows:

These measurements allow for accurate interpretation of the ECG waveform and analysis of heart activity.

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Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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The indefinite integral of x^2 / (x - 5) dx is x + 5 ln|x - 5| + c.

To find the indefinite integral of x^2 / (x - 5) dx, we can use the method of partial fractions.

First, we need to decompose the fraction:

To find the values of A and B, we can multiply both sides by (x - 5) and equate the coefficients of like terms:

Expanding and collecting like terms:

Now, we can equate the coefficients of x^2, x, and the constant term separately:

Solving these equations, we find A = 1 and B = 5.

Now, we can rewrite the integral as:

Integrating each term separately:

The integral of 1 with respect to x is simply x, and the integral of (5 / (x - 5)) dx can be found by substituting u = x - 5, which gives us du = dx:

Therefore, the indefinite integral of x^2 / (x - 5) dx is:

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Answer:

a. 12

Step-by-step explanation:

Answer:

a is correct

Step-by-step explanation: