in a triangle xyz the measure angle yxz is 14.5 and the measure of angle xyz is 75 what is the measure of angle xyz in degrees

Yes, it is true that if A and B are square and invertible matrices, then AB is also invertible, and its inverse is given by\((AB)^{(-1) }= B^{(-1)}A^{(-1).\)

To see why this is true, consider the product\((AB)(B^{(-1)}A^{(-1)}).\)

Using the associative property of matrix multiplication, we can rearrange this expression as

\((A(BB^{(-1)})A^{(-1)}) = (AIA^{(-1)}) = AA^{(-1)} = I,\)

where I is the identity matrix.

Similarly, we can show that \((B^{(-1)}A^{(-1)})(AB) = I,\) which means that

\((AB)^{(-1) }= B^{(-1)}A^{(-1).\)

Therefore, we conclude that if A and B are square and invertible matrices, then AB is invertible, and its inverse is given by \((AB)^{(-1)} = B^{(-1)}A^{(-1).\)

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The answer closest to the margin of error is option b: 4.2%.

To determine the margin of error at the 95% confidence level for the proportion of likely voters who prefer the incumbent candidate, we can use the formula:

Margin of Error = (Z * √(p*(1-p))/√n)

Where:

Z is the Z-score corresponding to the desired confidence level (95% corresponds to approximately 1.96)

p is the proportion of voters who prefer the incumbent candidate (42% or 0.42)

n is the sample size (350)

Calculating the margin of error:

Margin of Error = (1.96 * √(0.42*(1-0.42))/√350)

Using a calculator, the closest value to the margin of error is approximately 4.2%. Therefore, the answer closest to the margin of error is option b: 4.2%.

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the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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The probability of getting a head and a number greater than 5 i.e, independent events is 0.0833.

A coin is tossed and a die is rolled. These are two independent events. Two events are defined as independent if the outcome of one event has no effect on the outcome of another event. The probability is calculated by multiplying two independent probabilities together, i.e, P(A and B) = P(A) x P(B)

We have, Let us assume two independent events be ,

A : A coin is tossed and the head is thrown.

B : A die is rolled, and a number greater than 5 occurs.

Total possible outcomes when a coin tossed = 2 ={ H ,T }

Total possible outcomes when a die rolled = 6 = { 1,2,3,4,5,6} .

We have to determine probability of getting a head and a number greater

than 5.

Probability of getting the head on toss a coin, P(A) = 1/2

Probability of occuring a number greater than 5 on rolling a die = P(B) = 1/6

So, the probability of getting a head on coin and a number greater than 5 on die =P(A)×P(B)

=(1/2)× 1/6 = 1/12=0.0833

Hence, required probability is 0.0833.

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The most appropriate model to represent the data in the table is (d)

From the question, we have the following parameters that can be used in our computation:

The table of values

In the above table of values, we can see that

To show as the number of miles change by day

A linear or line graph has to be plotted

Hence, the most appropriate model to represent the data is (d)

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Answer: 5 games

Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.

The vertex of the quadratic equation is (-3,-25).

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the quadratic equation is f(x)=x²+6x−16.

The vertex will be calculated as,

f(x)=x²+6x−16

Vertex x = (-b/2a)

Vertex x = ( -6/2)

Vertex x = -3

The vertex y is calculated as,

Vertex y = x²+6x−16

Vertex y = (-3)² + (6x-3) -16

Vertex y = 9 -18 -16

Vertex y =-25

Therefore, the vertex of the quadratic equation is (-3,-25).

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Answer:

15 miles per gallon

Step-by-step explanation:

Divide miles travelled by gallons used, that is

90 ÷ 6 = 15 miles per gallon

The rate of the truck is 15 miles per gallon.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a truck travels 90 miles on 6 gallons of gas. The rate of truck will be calculated as:-

Divide miles travelled by gallons used, that is

Rate = 90 ÷ 6

Rate = 15 miles per gallon

Hence, the rateis 15 miles per gallon.

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Step-by-step explanation:

Let y be the amount of charge .

Let x be the number of cards purchased

We know that the initial amount of charge is $20

We also know that for every card purchased, it costs 0.06

So our equation is

\(y = 20 + 0.06x\)

or

\(y = 0.06x + 20\)

Answer:

it's 2 1/2 so D

Step-by-step explanation:

it's not in the negatives so that immediately gets rid of B and C, and it's not past the number 3 so it's not A. it's in the middle of 2 and 3 which marks it as 2 1/2.

The average rate of change F(x)=3ˣ over the interval [1, 4] is 26.

The rate of change, also known as the slope, refers to the measure of how much a quantity changes with respect to another quantity. It is defined as the ratio of the amount of change in the dependent variable (y) to the amount of change in the independent variable (x).

The average rate of change over the given interval can be found by using the formula:

Average rate of change = (F(b) - F(a)) / (b - a)

Where F(x) is the function, a and b are the endpoints of the interval.

In this case, F(x) = 3ˣ, a = 1, and b = 4. Plugging these values into the formula, we get:

Average rate of change = (3⁴ - 3¹) / (4 - 1)

Simplifying the equation, we get:

Average rate of change = (81 - 3) / 3

Average rate of change = 78 / 3

Average rate of change = 26

Therefore, the average rate of change over the given interval is 26.

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A model of a dinosaur skeleton was made using a scale of 1 ft : 10 ft in a museum. If the size of the dinosaur's tail in the model is 4 ft, then find its actual length. 1 ft : 10 ft 4 ft : x x = 4ft x 10ft / 1 ft = 40 ft2 / ft = 40 ft ∴ The dinosaur's tail is actually 40 ft long. 8.

Answer:

Step-by-step explanation:

Let's go through this step by step.

Multiples of 12:

Multiples of 27:

As shown above, there are 2 108's, which are the first multiples to match.

Your answer is 108.

Answer:

it should be 4 3/8 but sorry if it's wrong <3

The estimated cost of the new 3000-ft2 heat exchange system for the plant retrofit can be calculated using the power-sizing exponent and the price index. Based on the given information, the rough estimate for the cost of the new heat exchanger system is approximately $108,984.

To estimate the cost of the new heat exchange system, we need to consider the price index and the power-sizing exponent. The price index provides a measure of the change in prices over time. In this case, the price index 7 years ago was 1360, and the current price index is 1478.

To calculate the cost estimate, we can use the following formula:

Cost estimate = (Cost of previous heat exchanger) × (Current price index / Previous price index) × (New size / Previous size) ^ power-sizing exponent

Using the given information, the cost of the previous heat exchanger was $75,000, the previous size was 1200 ft2, and the new size is 3000 ft2.

Plugging in these values into the formula, we get:

Cost estimate = ($75,000) × (1478 / 1360) × (3000 / 1200) ^ 0.55

Simplifying the calculation, we find:

Cost estimate ≈ $108,984

Therefore, a rough estimate for the cost of the new 3000-ft2 heat exchanger system for the plant retrofit is approximately $108,984. It's important to note that this is just an estimate and the actual cost may vary based on specific factors and market conditions.

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Answer:

If the question was find the value of a when a equal -2, then the answer is a = -2

A. The total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. The power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

To calculate the total charge in the device at t = 1 s, we need to integrate the current over time.

Given:

v(0) = 27 sin(44) V

i(0) = 28(1 + e⁻²¹) mA

We'll convert the current to amperes for consistency:

i(0) = 28(1 + e⁻²¹) × 10^(-3) A

We integrate the current from t = 0 to t = 1 s to find the total charge:

q(t) = ∫[0 to t] i(t') dt'

Since q(0) = 0, we can write:

q(t = 1) = ∫[0 to 1] i(t') dt'

Let's perform the integration:

q(t = 1) = ∫[0 to 1] 28(1 + e⁻²¹) × 10⁻³ dt'

= 28(1 + e⁻²¹) × 10⁻³ ∫[0 to 1] dt'

= 28(1 + e⁻²¹) × 10⁻³ [t'] [0 to 1]

= 28(1 + e⁻²¹) × 10⁻³ (1 - 0)

= 28(1 + e⁻²¹) × 10⁻³ mC

Therefore, the total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. To calculate the power consumed by the device at t = 1 s, use the formula:

P(t) = v(t) × i(t)

Given v(0) = 27 sin(44) V and i(0) = 28(1 + e⁻²¹) mA, we need to evaluate v(t) and i(t) at t = 1 s:

v(t = 1) = 27 sin(44)

i(t = 1) = 28(1 + e⁻²¹)

Now we can calculate the power:

P(t = 1) = v(t = 1) × i(t = 1)

= 27 sin(44) × 28(1 + e⁻²¹)

Therefore, the power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

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The complete question goes thus:

The voltage v1) across a device and the current i(t) through it are (0) = 27 sin(44) V and (0) = 28(1 + e-21) mA.

Calculate the total charge in the device at t = 1 s, assuming q(0) = 0. The total charge in the device at t = 1 s is ___ mC.

Calculate the power consumed by the device at t = 1 s. The power consumed by the device at t = 1 s is ___ mW.

Answer:

-8, -5, -2, 1, 4

Step-by-step explanation:

x = -2

y = 3(-2) -2

= -6-2 = -8

x = -1

y = 3(-1) -2

= -3-2 = -5

x = 0

y = 3(0) -2

= 0-2 = -2

x = 1

y = 3(1) -2

= 3-2 = 1

x = 2

y = 3(2) -2

= 6-2 = 4

Answer:

30-5.69-4.98-1.09=18.24

so you have $18.24 money left

Answer:

I did this its 3 watermelon plus 2 pinapple plus 2 mango

Step-by-step explanation:

5.69x3+4.98x2+1.09x2

ANSWER

A. (f + g)(x) = 4x³ + x² + 5x + 2

EXPLANATION

To add this functions we have to combine and add like terms:

Answer:

A.  y = 7/3x + 2

Step-by-step explanation:

14x = 6y - 12

14x + 12 = 6y

y = 7/3x + 2

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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The input/output pairs for the given rule are:

(0, 1), (1, 2), (2, 3), (23, 24), (1, 2), (E, undefined), (23, 24), (F, undefined), (N, undefined), (3, 4), (K, undefined), (4, 5), (H, undefined), (L, L + 1).

In mathematics, a function is a rule that assigns a unique output or value to every input or value in a given set. The input values are typically called the domain of the function, while the output values are called the range. A function can be represented by an equation, a table, a graph, or a verbal description.

Using the rule "output = x + 1," we can find the output for each given input:

Therefore, the input/output pairs for the given rule are:

(0, 1), (1, 2), (2, 3), (23, 24), (1, 2), (E, undefined), (23, 24), (F, undefined), (N, undefined), (3, 4), (K, undefined), (4, 5), (H, undefined), (L, L + 1)

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To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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Let's begin by listing out the information given to us:

(x, y) = (3, 5), (-2, 6)

The general equation of a straight line function is given as:

We calculate the slope using:

Substitute the slope into the, we have:

We will proceed to for b, we have:

Answer:

Ms Levy = 2

Ms Rabb = 3

Step-by-step explanation:

Let :

Number of teaspoons taken by Ms Levy = x

Number of teaspoons taken by Ms Rabb = x + 1

Total number of teaspoons taken by both = 5

(Number of teaspoons taken by Ms Rabb + Number of teaspoons taken by Ms Levy) = total number of teaspoons taken

x + 1 + x = 5

2x + 1 = 5

2x = 5 - 1

2x = 4

x = 4/2

x = 2

Hence,

Number of teaspoons of sugar added by Ms Levy = x = 2

Number of teaspoons of sugar added by Ms Rabb = x + 1 = 2 + 1 = 3

Answer:

Start at the point (0,-2), and go down three points, to the coordinate (0,-5), then go right 2 points, to the coordinate (2,-5). Then draw a line from (2,-5), through (0,-2)

Step-by-step explanation:

Answer:

your second point will be (2,-5) x=2 y=-5. your first point will be (0,-2) x=0 y=-2.  connect them to make a line.

Step-by-step explanation:

So I’m doing this right now. Basically, you need to create a chart.

x and y. So if x=0, solve for y. You need at least 2 points like this to solve it.

I’ll choose 0.

y=-3/2x-2

y=0-2

y=-2

your first point will be (0,-2) x=0 y=-2.

I’ll choose 2.

y=-3/2x-2

y=-3/2*2-2

y=-3-2

y=-5

your second point will be (2,-5) x=2 y=-5.

Answer:

\(\frac{64.5}{38.7}: \frac{5}{3}\)

Step-by-step explanation:

5 : 3

5 + 3 = 8

103.2 ÷ 8

12.9

12.9 × 3

38.7

12.9 × 5

64.5