Which set of three angles could represent the interior angles of a triangle?

el hombre tenía 50 acciones.

La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,

se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,

podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.

Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.

Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.

Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.

Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,

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Answer:

0.4 hours

Step-by-step explanation:

or 24 minutes :D

When writing a proof , by copying the “given” statement(s) from the original problem

Given data ,

A true assertion that is provided in the problem or is known to be true should be the first statement in a proof. The subsequent logical argument has this as its foundation.

We can provide the groundwork for the proof and proceed to the desired conclusion by duplicating the "given" statement(s) from the original problem.

Once the first statement is established, we can move on to writing additional statements that are each logically supported by the first statement.

The logical evolution of the preceding assertions demonstrates that the last statement should be the intended conclusion.

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If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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The y-intercept of the line representing Beatrice's monthly music is 20

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

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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9514 1404 393

Answer:

Step-by-step explanation:

Corresponding sides have the same ratio in similar figures.

1. x/20 = 6/15

  x = 20(6/15) = 8 . . . . multiply by 20

__

2. x/20 = 14/8

  x = 20(14/8) = 35 . . . . multiply by 20

The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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Answer:C

Step-by-step explanation:because I did it before

The length of ET and the length of RT to the nearest tenth will be 268.3 units and 198.7 units, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

RECT is a square (not drawn to scale).

RA = 13² - 3x - 3  

AC = x(x + 2)

The diagonals of the square will be RC and ET. And "A" is the intersection point. Then the equation is given as,

RA = AC

13² - 3x - 3 = x(x + 2)

169 - 3x - 3 = x² + 2x

x² + 5x - 166 = 0

x = [- 5 ± √(5² - 4 × 1 × (-166))] / (2 × 1)

x = 10.62, -15.62

Then the length of AC is given as,

AC = 10.62 (10.62 + 2)

AC = 134.13 units

The diagonals of the square are congruent. Then we have

ET = RC

ET = 2 AC

ET = 2 x 134.13

ET = 268.3 units

Then the length RT is given as,

RT = ET / √2

RT = 198.7 units

The length of ET and the length of RT to the nearest tenth will be 268.3 units and 198.7 units, respectively.

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The population we're trying to predict is the population that is going to be Voters in our area, the where should probably be well as above our area, and the how now, generally speaking, we want to do a simple, random, or a random sample of some sort, random sample.

For instance, what you could do would be something like choose: random addresses in the area and send a survey, but sending a survey could introduce self-selection bias. So it would be ideal to visit in person basically and ask a few questions making sure the representative sample or how to ensure that we're getting a representative sample would be to, for instance, filter the random results and make sure that we have an even distance.

Ensure that there's an equal number within each quadrant of the town, basically split up the town.  Split towns into regions of populations or population densities and make sure we get the same proportion from each region.  However, we end up splitting the town into different regions. We show the proportion or show who is the most popular candidate in each 1 of the regions, so it could be something like this. That was supposed to be an alternative to a bar graph. The number of results for each different candidate depends on whether or not there's a sort of well-defined districts or areas in the town, but most sorts of relatively large cities have things like that. So the idea would be to represent not just the location, but also the information that you gain separately.

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Split up the town so that there are an equal amount in each of its four quadrants. Make sure we receive the same proportion from each region by dividing towns into population or population density regions. But ultimately, we divide the town into many parts. It might look something like this since we display the percentage or the candidate who is most supported in each location. That was meant to be a bar graph substitute. Whether or not a town has clearly defined districts or areas affects the amount of results for each candidate, although this is true of most types of moderately large cities.

The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

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Answer:

Step-by-step explanation:

1

The required probability of the random event is 0.273.

Keep in mind that a president, vice president, and treasurer will be chosen at random from the 15 members. The number of options to choose from to fill these spots is thus:

\(_{15}P_3=\frac{15!}{(15-3)!} =2730\).

The required probability of the random event is 0.273.

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Answer:

20 blogs

Step-by-step explanation:

Step 1:  Determine the proportion of pop culture blogs:

First, we need to determine the proportion of pop culture blogs already written.  We can do this by dividing the number of pop culture blogs already written by the total number of blogs written:

The proportion of pop culture bloggers = Number of pop culture bloggers / Total number of bloggers

Proportion =  26 / (20 + 26 + 7 + 12)

Proportion = 26 / 65

Proportion = 0.4

Step 2:  Multiply the proportion of pop culture blogs by the number of upcoming blogs:

To determine the expected number of pop culture blogs that will be written given the data, we can multiply the proportion of pop culture blogs already written by the number of upcoming blogs:

Expected number of pop culture blogs = proportion of pop culture blogs *  number of upcoming blogs

Expected number = 0.4 * 50

Expected number = 20

Thus, you should expect 20 pop culture blogs to be written given the data.

The required critical points of f is (0, 0) and the function f does not have a local maximum nor local minimum.

The critical points of a function f are the points in the domain where the partial derivatives of f are equal to 0 or are undefined. To find the critical points of f, we can find the partial derivatives of f with respect to x and y, and set them equal to 0:

df/dx = -2x

df/dy = 2y

Setting df/dx equal to 0, we have:

-2x = 0

So, x = 0.

Setting df/dy equal to 0, we have:

2y = 0

So, y = 0.

Thus, the only critical point of f is (0, 0).

To show that f does not have any local maximums nor any local minimums at the critical point (0, 0), we can check the second partial derivatives of f at this point:

d²f/dx² = -2

d²f/dy² = 2

d²f/dxdy = 0

At (0, 0), d²f/dx² is negative and d²f/dy² is positive, which indicates that f is a saddle point at (0, 0). This means that f does not have a local maximum nor a local minimum at (0, 0).

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Answer:

Step-by-step explanation:

I think you are correct. The bottom of the drawing has to have a width or someway of finding it. Also the breakup of the height needs some sort of clue where that breakup occurs.  I think you likely have to ask your instructor.

The value of the expression (a - 8) / (2a + 5) at a = -2 will be negative 10.

At the point when the pertinent parts and fundamental cycles of a mathematical strategy are given qualities, the articulation's outcome is the consequence of the calculation it portrays.

The meaning of straightforwardness is simplifying something to accomplish or get a handle on while likewise making it somewhat less troublesome.

The expression is given below.

⇒ (a - 8) / (2a + 5)

The value of the expression at a = -2 is given as,

\(\rightarrow \dfrac{-2 - 8}{2 \times (-2) + 5}\)

⇒ - 10 / (- 4 + 5)

⇒ - 10 / 1

⇒ - 10

The value of the expression (a - 8) / (2a + 5) at a = -2 will be negative 10.

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Answer:

B. 80°

Step-by-step explanation:

55+45=100

180-100=80

Q=80°

Answer:

Step-by-step explanation:

3x = 90 + 46 - 14

3x = 122

x=\(\frac{122}{3}\)≈40,7

Answer: 40.6 repeated

Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated

Answer:

you are right

Step-by-step explanation:

Answer:

237 = m + 137

this is the equation showing the relationship

Answer:

-3

Step-by-step explanation:

PQ has a slope of 1/3

Perpendicular lines have negative reciprocal slopes

- ( 1 ÷ 1/3)

- ( 3/1)

-3

The slope of a line that is perpendicular is -3

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

To solve this equation, at first, let's just substitute x with 2.

So, the equation becomes ⇨ 2+4/3×2

\( \tt \: \frac{x + 4}{3x} \\ \\ \tt \:\dashrightarrow \frac{(2) + 4}{3(2)} \\ \\ \tt \: Add \: 2 \: and \: 4 \: to \: get \: 6. \\ \\ \tt \: = \frac{6}{3\times 2} \\ \\ \tt \:Multiply \: 3 \: and \: 2 \: to \: get \: 6. \\ \\ \tt \:= \frac{6}{6} \\ \\\tt \: Divide \: 6 \: by \: 6 \: to \: get \: 1. \\ \\ = \boxed{ \boxed{ \bf \: 1}}\)

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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Answer:

30

Step-by-step explanation:

(86-32)/1.8 =30

The required temperature at 2:30 a.m. was -26.1 F, which means the answer is A. -26.1 F.

Subtraction is mathematical terminology that helps and elaborates the decrease in the original value by some value.

The temperature at 2:30 a.m. can be calculated by subtracting the 9.1 F drop from the initial temperature of -17 F.

= -17 F - 9.1 F
= -26.1 F

So the temperature at 2:30 a.m. was -26.1 F, which means the answer is A. -26.1 F.

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Answer:

150 inches

Step-by-step explanation:

C=2πr

2·π·24 ≈ 150.79645

Mrs. Lopez need to sew a piece of cloth whose length be 150.72 inches.

A circumference gives the length around a circular object, it is the perimeter used for the circular objects.

Given that a circular tablecloth has a radius of 24 inches, we need to find the length around it,

So, the length around a circular object is its circumference,

We know that circumference of the circular object = π × diameter,

Diameter = 2 × radius = 48 inches.

So, the length around the circular cloth = π × 48

= 3.14 × 48
= 150.72

Hence Mrs. Lopez need to sew a piece of cloth whose length be 150.72 inches.

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Answer:

there's no angle z theres only x but the answer for x is 133

Step-by-step explanation: