Are the triangles shown congruent?
Explain.
O Yes, by SSS
O Yes, by SAS
O Yes, by CPCTC
O No, there isn't enough information to prove that they are congruent

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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The value of the double integral is ∬D 2y dA = 131/150.

To determine which is easier to integrate, let's first sketch the region D:

From the sketch, we see that D is more naturally expressed as a function of y, rather than x. Therefore, it is easier to integrate using option B, which is ∬D 2y dy dx.

To evaluate the double integral using option B, we can set up the integral as follows:

∬D 2y dy dx = ∫[0,1] ∫[\(y^2,(3y+10)/10]\) 2y dx dy

= ∫[0,1] [\((3y^2 + 10y)/5 - y^{5/5}]\)dy

= [\(y^{3/5}+ y^2 - y^6/30\)] evaluated from 0 to 1

= 1/5 + 1 - 1/30 = 131/150

Therefore, the value of the double integral is ∬D 2y dA = 131/150.

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We remove the 18 regular customers and their seats from consideration.

Thus, we consider the 23 - 18 remaining customers = 5; and 19 - 18 = 1 seat.

Overbooking means 3 or more of the 5 remaining passengers; each has a 50% chance remaining.

Overbooking = 1 - P(X ≤ 2) = 0.5

Probability of empty seats = P(X ≤ 1) = 0.1875

When salt is added to water, the boiling point of water is increased. The boiling point elevation depends on the concentration of salt added. The addition of salt increases the boiling point of water.

The extent of the increase in boiling point is directly proportional to the amount of salt added. Boiling point is defined as the temperature at which the vapor pressure of a liquid is equal to the pressure exerted on it by the surrounding atmosphere.

In layman's terms, this means that a liquid boils when its vapor pressure equals atmospheric pressure. Boiling point of a liquid can be increased or decreased by the addition of solutes such as salt.When a solute such as salt is added to water, the boiling point of water increases due to the phenomenon of boiling point elevation.

This is because the solute particles in the water interfere with the formation of water vapor molecules at the surface of the liquid. As a result, more energy is required to boil the water, which means that the boiling point is elevated.

The amount of elevation is directly proportional to the concentration of salt added. In short, the addition of salt to water increases the boiling point of water.

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The perimeter of the triangles are 12m and 16.2m.

Perimeter is a term used in geometry to refer to the total distance around the outside of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape. The perimeter is commonly used to describe the "outer boundary" or "circumference" of a shape

According to the given information:

In the first triangle ABC, given that AB=5m and ∠B=53°.

By using trigonometric function,

sin 53° = \(\frac{opp}{hyp}\)

0.7986 = \(\frac{AC}{5}\)

AC = 3.993 ≈ 4

Cos 53° = \(\frac{adj}{hyp}\)

0.601 = \(\frac{CB}{5}\)

CB = 3.005 ≈ 3

Perimeter = 3+4+5 = 12m

In the second triangle ABC, given that AC=4.5m and ∠B=42°.

By using trigonometric function,

sin 42° = \(\frac{opp}{hyp}\)

0.6691 = \(\frac{4.5}{AB}\)

AB = 6.725 ≈ 6.7

cos 42° = \(\frac{BC}{AB}\)

0.7431 = \(\frac{BC}{6.7}\)

BC = 4.97 ≈ 5

Perimeter = 5+6.7+4.5 ≈ 16.2

The perimeter of the two triangles are 12m and 16.2m

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Sample space of randomly selecting a US state is 50, the probability that the US state begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

a. What is the sample space?The sample space for randomly selecting one of the 50 US states is 50, i.e., the list of the 50 states.

b. What is the probability that it begins with M?The number of states that begin with M is 8. Therefore, the probability that the randomly selected US state begins with M is 8/50 or 4/25.

c. What is the probability that it doesn't begin with a vowel?There are 20 US states that don't begin with a vowel. Therefore, the probability that a randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

Randomly selecting a US state requires knowing the sample space, which in this case is 50. A sample space represents all possible outcomes of a random experiment. Therefore, the sample space for this problem represents the list of all 50 US states that can be randomly selected. The probability that a randomly selected US state begins with M can be calculated by dividing the number of states that begin with M by the total number of states. There are 8 US states that begin with M, hence, the probability of selecting a state that begins with M is 8/50 or 4/25. Finally, the probability that the randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

In conclusion, the sample space of selecting a US state randomly is 50, the probability that it begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

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Answer:

Velocity is the rate of change of position.

Acceleration is the rate of change of velocity.

Answer:

Step-by-step explanation:

Instantaneous velocity refers to a objects velocity in an exact moment in time. Acceleration is the change in the velocity of a object, either as it like increases or if it decreases. Acceleration is also a vector and will have both a value and a direction.

Answer:

412 adults

Step-by-step explanation:

Let the number of adults be x

Let the number of children be y

If a total of 1,236 people attended the concert, then;

x + y = 1236 .....1

If there were twice as many adults as children who attended the concert, then;

y = 2x

Substitute y = 2x into 1

x + 2x = 1236

3x= 1236

x = 1236/3

x = 412

Hence 412 adults attended the concert.

Mary lou will have $20574.6 in her savings account when she is ready to enroll in college.

For given question,

Mary lou received $14,000, 7 years prior to her enrolling in college.

She invested the money at 5.5% compounded semiannually.

so the Principal(P) = $14000

Rate (R) = 5.5%

Period(t) = 7 years

First we find the rate of interest in decimal form.

5.5% = 5.5/100

5.5% = 0.055

so, r = 0.055

Using the formula for continuous compound interest,

\(\Rightarrow A = Pe^{rt}\\\\\Rightarrow A=14000\times e^{(0.055\times 7)}\)

⇒ A = 14000 × e^(0.385)

⇒ A = 14000 × 1.4696

⇒ A = $20574.6

This means, after 7 years she will have $20574.6 in her saving account.

Therefore, Mary lou will have $20574.6 in her savings account when she is ready to enroll in college.

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There are 176,851 ways to assign the 100 pages to the four printers.

Since there are no restrictions on how many pages a printer can print, we can think of this problem as distributing 100 identical pages among 4 distinct printers. This is an example of a "balls and urns" problem, which can be solved using the stars and bars formula.

The stars and bars formula states that the number of ways to distribute k identical objects among n distinct containers is:

C(k+n-1, n-1)

where C represents the combination function. In this case, we have k = 100 identical pages and n = 4 distinct printers. Therefore, the number of ways to assign the pages to the printers is:

C(100+4-1, 4-1) = C(103, 3) = 176,851

So there are 176,851 ways to assign the 100 pages to the four printers.

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Answer:

she is going to make $408.90 in 18.2518.25 hours

Answer:

5x+7

Step-by-step explanation:

every time it goes up by 5 so if that's the case if you 12 and subtract 5 then that's your constant cause that is where it started.

I hope this is good enough:

Answer:

About 4.5 units

Step-by-step explanation:

Please let me know if you want me to add an explanation

Answer:

Yes.

Explanation:

Rotational symmetry looks the same after some rotation by a partial turn.

Answer:

Convergent

Step-by-step explanation:

One method to determine if  \(\displaystyle \sum^\infty_{k=1}ke^{-k^2}\)is convergent or divergent is the Integral Test.

Suppose that the function we use is \(f(x)=xe^{-x^2}\). Over the interval \([1,\infty)\), the function is always positive and continuous, but we also need to make sure it is decreasing before we can proceed with the Integral Test.

The derivative of this function is \(f'(x) = e^{-x^2}(1-2x^2)\), so our critical points will be \(\displaystyle x=\pm\frac{1}{\sqrt{2}}\), but we can drop the negative critical point as we are starting at \(k=1\). Using some test points, we can see that the function increases on the interval \(\bigr[0,\frac{1}{\sqrt{2}}\bigr]\) and decreases on the interval \(\bigr[\frac{1}{\sqrt{2}},\infty\bigr)\). Since the function will eventually decrease, we can go ahead with the Integral Test:

\(\displaystyle \int_{{\,1}}^{{\,\infty }}{{x{{{e}}^{ - {x^2}}}\,dx}} & = \mathop {\lim }\limits_{t \to \infty } \int_{{\,1}}^{{\,t}}{{x{{{e}}^{ - {x^2}}}\,dx}}\hspace{0.5in}u = - {x^2}\\ & = \mathop {\lim }\limits_{t \to \infty } \left. {\left( { - \frac{1}{2}{{{e}}^{ - {x^2}}}} \right)} \right|_1^t\\ & = \mathop {\lim }\limits_{t \to \infty } \left( {-\frac{1}{2}{{e}}^{ - {t^2}}-\biggr(-\frac{1}{2e}\biggr)}} \right) = \frac{1}{2e}\)

Therefore, since the integral is convergent, the series must also be convergent by the Integral Test.

Answer: God

Step-by-step explanation: LORD HAVE MERCY

The radius of the cylinder is 7 inches.

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

\(\[ V = \pi r^2 h \]\)

where V is the volume, r is the radius, and h is the height.

In this case, we are given that the volume of the cylinder is 980π cubic inches and the height is 20 inches. Plugging in these values into the formula, we get:

\(\[ 980\pi = \pi r^2 \cdot 20 \]\)

Simplifying the equation, we can divide both sides by π:

\(\[ 980 = 20r^2 \]\)

Dividing both sides by 20 gives us:

\(\[ 49 = r^2 \]\)

To solve for r, we take the square root of both sides:

\(\[ r = \sqrt{49} = 7 \]\)

Therefore, the radius of the cylinder is 7 inches.

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The closest option to the reorder point is 71.40 pounds.

To determine the reorder point, we need to find the demand during the lead time and the safety stock.

First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.

Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.

Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.

The standard deviation is given as 6 pounds.

So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.

Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.

Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.

Therefore, the closest option to the reorder point is 71.40 pounds.

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Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

based on the given information, we can definitively conclude that PV- is closer to 0 than to 1. The option (b) "PV- is closer to 0 than to 1" is the correct answer.

The present value (PV) represents the current value of a future cash flow or investment. If PV is approximately 1, it means that the value of the future cash flow or investment is close to its full value in the present.

When we subtract a value from PV to get PV-, the resulting value will be smaller than PV. Since PV is approximately 1, it implies that PV- is closer to 0 than to 1. This conclusion holds because subtracting a value from 1 will always yield a smaller value.

For example, if PV is exactly 1 and we subtract 0.5 from it, the resulting PV- will be 0.5, which is closer to 0 than to 1.

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The particle's approximate location at time t = 3 is (5, 6), (6, 8).

We can use the formula for Euler's Method to approximate the particle's location at time t = 3:

x(3) = x(2) + f(x(2), y(2))(t(3) - t(2))

y(3) = y(2) + g(x(2), y(2))(t(3) - t(2))

where f(x, y) and g(x, y) are the x- and y-components of the vector field f(x, y) = hx2y2, 2xyi, respectively.

At time t = 2, the particle is located at (1, 2), so we have:

x(2) = 1

y(2) = 2

We can then calculate the x- and y-components of the vector field at (1, 2):

f(1, 2) = h(1)2(2)2, 2(1)(2)i = h4, 4i = (4, 4)

g(1, 2) = h(1)2(2)2, 2(1)(2)i = h4, 4i = (4, 4)

Plugging these values into the Euler's Method formula, we get:

x(3) = 1 + (4, 4)(1) = (5, 6)

y(3) = 2 + (4, 4)(1) = (6, 8)

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Answer:

3

Step-by-step explanation:

A = 3 × (1ft)²

A = 3 × 1 ft²

A = 3ft²

Answer:

1/8

Step-by-step explanation:

1/2 ÷4​

Copy dot flip

1/2 * 1/4

1/8

Answer:

1/8

I want brainliest!!! :)

Step-by-step explanation:

1/2 divided by 4

1/2/4 = 1/8

The completed terms are (3 x 10¹)+(2 × 10¹⁹) + (2 × 10¹⁹) = 3 x 10¹ + 4 x 10¹⁹ = 4 x 10¹⁹, as the 10¹⁹ terms add up to 7 x 10²⁰.

To complete the terms you have to first performing the multiplication within each set of parentheses, which gave me (3 x 10¹⁹) + (4 x 10¹⁹). Then, I added these two terms together to get a final answer of 7 x 10²⁰.

In mathematics, a term is defined as the values of an algebraic expression on which mathematical operations occur. Let's look at an example of a word. This algebraic statement has terms 8x and 9.

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Answer:

9.2 feet long and 5.75 feet wide

Answer:

Step-by-step explanation:

The 5 is a constant.

The other 2 are products of numbers and variables. The -5 is a term. Even thought it is a constant, it will combine with neither one of the two terms in the trinomial.

4xy^2: This is a combination of a number (4) and 2 variables (x and y). The x and y are different. One of them (y) is squared but that does not change anything. It is still 1 variable. The x is another variable. So together, you have a produce of a number 4 - and 2 variables (x and y). Because this given question is a sum, 4xy^2 could also be classified as a term.

3x is also made up of a product of a number (3) and a variable (x). It is classified as a term, since it cannot combine with either of the other 2 terms.

The weight of a similar aluminum bar that is 3 feet 4 inches long is 13.33 pounds (approximately).

The weight of an aluminum bar is directly proportional to its length. That means if the length of a bar is increased by a certain factor, its weight will also increase by the same factor.

In this case, the length of the second bar is 4 inches longer than the first bar, which is 1/3 of a foot. Therefore, the length of the second bar is 1 + 1/9 times the length of the first bar.

Since the weight of a bar is directly proportional to its length, the weight of the second bar will be 1 + 1/9 times the weight of the first bar. So, the weight of the second bar will be:

12 pounds * (1 + 1/9) = 13.33 pounds (approximately).

Therefore, the answer is (B) 13.33 LBS.

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From left to right, function f has zeros at x = 0, x = 3, x = -3, x = 1/2, and x = -3/2.

An expression, rule, or law in mathematics that explains how one independent variable and one dependent variable are connected (the dependent variable).

The factors of the function f(x) can be found by factoring the expression:

f(x) = 2x⁴ - x³ - 18x² + 9x = x(2x³ - x² - 18x + 9)

To find the zeros of f(x), we need to find the values of x that make the expression in the parentheses equal to zero:

2x³ - x² - 18x + 9 = 0

We can use synthetic division or other methods to factor this polynomial and find its zeros. Alternatively, we can use the Rational Zeros Theorem to test possible rational zeros:

Possible rational zeros: ±1, ±3, ±9, ±1/2, ±3/2, ±9/2

Testing x = 1: 2(1)³ - (1)² - 18(1) + 9 = -8, not a zero

Testing x = -1: 2(-1)³ - (-1)² - 18(-1) + 9 = 28, not a zero

Testing x = 3: 2(3)³ - (3)² - 18(3) + 9 = 0, a zero

Testing x = -3: 2(-3)³ - (-3)² - 18(-3) + 9 = 0, a zero

Using polynomial division or factoring by grouping, we can factor the polynomial further:

2x³ - x² - 18x + 9 = (x - 3)(2x² + 5x - 3)

The quadratic factor can be factored using the quadratic formula or other methods:

2x² + 5x - 3 = (2x - 1)(x + 3)

Therefore, the zeros of f(x) are:

x = 0 (from the factor x)

x = 3 (from the factor x - 3)

x = -3 (from the factor x + 3)

x = 1/2 (from the factor 2x - 1)

x = -3/2 (from the factor 2x - 1)

So the completed statement is:

From left to right, function f has zeros at x = 0, x = 3, x = -3, x = 1/2, and x = -3/2.

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Answer:

Your answer would be C. Hold on lemme check.... Yes its C.

Step-by-step explanation:

Hope I helped LOL