Jenna is deciding between two cell-phone plans. The first plan has a $50 sign-up fee and costs $20 per month. The second plan has a $30 sign-up fee and costs $25 per month. After how many months will the total costs be the same? What will the costs be?

The binary representation is (a) a3 in binary is 10100011(b) 1fc in binary is 11111100(c) 2a0b in binary is 1010100000001011

In hexadecimal, each digit represents four bits, which means that two hexadecimal digits can represent eight bits. As a result, converting from hexadecimal to binary is straightforward. The four bits corresponding to each hexadecimal digit can be written down, resulting in an 8-bit binary value.

To convert hexadecimal to binary, simply convert each hexadecimal digit to binary, then combine them to get the final binary representation. For instance, in a, the hexadecimal digit a has a binary representation of 1010, while the digit 3 has a binary representation of 0011.

Combining these results in a binary representation of 10100011. Similarly, the binary representations of 1f and c are 00011111 and 00001100, respectively.

Combining them results in 11111100. Finally, the binary representation of 2a0b is obtained by converting 2, a, 0, and b to binary, resulting in 0010, 1010, 0000, and 1011, respectively. Combining them results in 1010100000001011.

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The equation for the relationship between units of white paint, w, and units of black paint, b is 3w + b = 4g

The given parameters;

number of white paints, w = 3

number of black paint, b = 1

Let the number of gray paint = g

the total number of gray paint formed = 4 units

The equation that show the relationship between the two paints is given as;

3w:b = 4g

3w + b = 4g

Thus, the equation for the relationship between units of white paint, w, and units of black paint, b is 3w + b = 4g

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Based on the provided information, a) bias is introduced through convenience sampling there could be specific variable associated with the first hundred students. It can be avoided by simple random sampling. b) bias is introduced through wording as it includes a negative consequence. It can be avoided by just asking for an opinion without any associated reasoning or consequences.

Bias refers to a deviation of feedback which is based on certain influences by the surveyor and respondent. Sampling bias or selection bias refers to a type of bias in which a researcher gathers a sample of respondents for a questionnaire that does not accurately represent the population. Survey bias refers to the way the question is phrased or formatted, leading people to choose a certain answer instead of another. In the given case,

a) A bias may have been introduced based on the way the convenience sample was selected as there could be specific variable associated with each of the first hundred students that walk into the dining room. The first hundred students could possibly like the food and that is the reason why they come early to the dining room. Selecting students at the dining room may also exclude the students who dislike the food and choose to eat elsewhere. A simple random sample can help avoid this bias. By randomly selecting students at the university campus would provide a more inclusive and true representation of the population.

b) A bias may have been introduced based on the way the question is worded is to maintain the current meal plan as it presents a negative consequence to introducing a new meal plan. It states that a new meal plan would result in more cost. In order to avoid bias, the survey should ask students opinion about the food without introducing any external reasoning.

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Answer:

area of the big triangle is QS*RT, where we know the QS

so we need to derive the area of big triange

the big triange is sum of the larger triangle (QT*RT) + smaller one (TS*RT)

so RT*(5+2.2)=RT(5)+RT(2.2)

the rest is simple to solve

Step-by-step explanation:

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Answer:

y = - \(\frac{1}{3}\) x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2-y_{1} } }{x_{2-x_{1} } }\)

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = \(\frac{4-5}{3-0}\) = \(\frac{-1}{3}\) = - \(\frac{1}{3}\)

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = - \(\frac{1}{3}\) x + 5 ← equation of line

Answer:

97 hope this helps;)

a

Step-by-step explanation:

Answer:

For x it would be 50 m2

Step-by-step explanation:

Answer:

In 1812, with President Madison in office, Congress declared war against the British. The war began with an attack on Canada, both as an effort to gain land and to cut off British supply lines to Tecumseh's Indian confederation, which had long troubled the US. ... The US troops were badly routed.

Step-by-step explanation:

Answer:

It started when the u.s attacked Canada and then the British came and burnt the white house.

Step-by-step explanation:

good luck

The pairwise comparisons that need to be made for this anova result will be b.3

In order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:

N = (k * (k-1)) / 2

Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.

Plugging in the values:

N = (3 * (3-1)) / 2

N = (3 * 2) / 2

N = 6 / 2

N = 3

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Answer:

Henry can download at most 225 MB more.

Step-by-step explanation:

The capacity of Henry's MP3 player is 512MB. He has downloaded 287MB and will continue to download m more megabytes.

Since the capacity of the player is 512MB. The used memory plus 287MB cannot be greater than 512MB, thus the inequality that shows how many more megabytes he can download are:

m + 287 ≤ 512

Solving:

m  ≤ 512 - 287

m  ≤ 225

Henry can download at most 225 MB more.

We would need to conduct a statistical analysis, such as a chi-square test, to decide whether the correlation between purchasing lettuce and purchasing apples is significant in order to get a more firm conclusion.

The number of persons who purchased lettuce, apples, both, or something else must first be counted in order to construct the table of relative frequencies.

Assuming the farmer saw 100 shoppers at the market, these are the findings:

The following table (See Table) can be made to display the relative frequencies.

The fraction of people who purchased both lettuce and apples must be examined in order to establish whether there is a correlation between the two purchases. In this instance, 10% of customers purchased both lettuce and apples, which is a small percentage.

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Step-by-step explanation:

Answer:

1 and 30!

1 times 30 = 30

1 + 30 = 31

Step-by-step explanation:

;p

Answer:

30 and 1

Step-by-step explanation:

You add 1 to 30 to get your answer of 31.

30 + 1 = 31

You can also multiply 30 times 1 to get thirty.

30 * 1 = 30

Answer:

1. C,D

2. B,C,D

3. E

4.D

5.A,B,C,D

6.D

7.C,D

8.E

Step-by-step explanation:

Hope this helps ;)

Answer:

2:5

Step-by-step explanation:

divide / simplify the ratio

Answer:

2:5     8:20

Because 2:5 is equivalent to 4:10 and so it 8:20

Based on the coordinates of the vertices of the quadrilateral ABCD, the area is 26.21 units².

First, find the distance between the points of the quadrilateral:

Distance formula is:

d = √( (x₂ - x₁)² + (y₂ - y₁)²)

Using the above formula, the distance for AB is 5.099

The distance for BC would be 5.65

This distance for CD would be 4

The distance of AD would be 12.727922

Because none of the sides are congruent, we shall assume a sum of angles of 180° in order to use the Bretschneider's formula.

The area is therefore:
= 26.21 units²

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Answer:

12 square feet

Step-by-step explanation:

The shape of the top of the desk is a trapezoid.

A = (b1 + b2)h/2

A = (5 ft + 3 ft)(3 ft)/2

A = (8 ft)(3 ft)/2

A = 24 ft^2/2

A = 12 ft^2

Answer: 12 square feet

Mark should administer 42 mcg of medication to his patient who weighs 70 kg.

Let \(\(x\)\) be the amount of medication Mark should deliver.

According to the manufacturer's recommendation, the dose of medication for healthy adults is 0.6 mcg for each kg they weigh. Since Mark's patient weighs 70 kg, the amount of medication Mark should administer can be represented by the following ratio equation:

\(\(\frac{x}{70} = \frac{0.6}{1}\)\)

In this equation, the numerator \(\(x\)\) represents the amount of medication Mark should deliver, and the denominator 70 represents the weight of the patient in kg.

The numerator and denominator are set in proportion to the recommended dose of 0.6 mcg per kg of body weight.

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Answer:week 1 3 dollars week 2 9 dollars week 3 27

Step-by-step explanation:

Answer:

14776.8

Step-by-step explanation:

Yeahh its that because its the difference and the elevation for the death valley is below sea level so if you do

x-(-y) you essentially get x+y so therefore you add the two numbers and your good (x stands for that mountain and y is for the death valley

Answer:

b) tiene la mayor frecuencia

Step-by-step explanation:

Las medidas de tendencia central se refieren a un centro alrededor del cual se encuentran todos los datos y estas medidas son: la media, la moda y la mediana. La media es el valor promedio de un grupo de datos, la moda es el dato que se repite más veces y la mediana es el valor que se encuentra en el centro cuando los datos se ubican de menor a mayor. De acuerdo a esto, la respuesta es que la moda es una medida de tendencia central que tiene la mayor frecuencia.

Los otras opciones no son correctas porque el tamaño del conjunto de datos no depende de las medidas de tendencia central, esto depende de cada situación y pueden ser muchos o pocos datos. Además la opción "al ordenar los datos de menor a mayor es el dato que se ubica en el centro" se refiere a la mediana.

Answer: 10 cm

Step-by-step explanation:

Given, length=8cm

breadth=6 cm

Pythagoras theorem states that sum of square of base and square of perpendicular height is equal to square of hypotnyse.

Thus, we can write:

Considering, base=length=8cm

Perpendicular=breadth=6cm

Therefore, length of diagonal =√(length∧2+breadth∧2)

                                                 =√(8∧2+6∧2) cm

                                                = 10 cm

Therefore the length of diagonal = 10cm.

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As mentioned in part (a), the sequence {arctan(n)} is divergent. Therefore, the corresponding series will also be divergent. Hence, the answer is "div" (divergent).

(a) The sequence {arctan(n)}:

To determine whether the sequence {arctan(n)} is convergent or divergent, we need to analyze its behavior as n approaches infinity.

The arctan function is bounded, meaning its values are limited between -π/2 and π/2. As n increases, arctan(n) will also increase but remain within this range.

Since the sequence {arctan(n)} is bounded and does not approach a specific limit as n approaches infinity, we can conclude that the sequence is divergent. Thus, the answer is "div" (divergent).

(b) The series ∑(n=1 to infinity) (arctan(n)):

For this series, we are summing the terms of the sequence {arctan(n)} as n ranges from 1 to infinity.

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Answer:

60:31

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

$32

Step-by-step explanation:

1.20÷100×40=8

2.$40-$8=$32