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lisabon 2012
3 months ago
8

What is the simplified form of the following expression ? Assume a _>0 and c >_0

Mathematics
2 answers:
tester [12.3K]3 months ago
7 0

Response:

A

Detailed explanation:

tester [12.3K]3 months ago
3 0
14 \sqrt[4]{a^{5} b^{2 }c^{4}} -7ac \sqrt[4]{a b^{2}}
= 14ac \sqrt[4]{a b^{2}} -7ac \sqrt[4]{a b^{2}}
= 7ac \sqrt[4]{a b^{2}}.... pertains to the first choice
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The hourly wage increases each employee receives each year depends on the number of years of service. Every three years of servi
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Answer:

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

Step-by-step explanation:

Based on the details provided:

Employees with less than 3 years receive an increase of $0.50 hourly

Employees with at least 3 years but under 6 years receive $1.00 increase hourly

Employees with a minimum of 6 years and less than 9 get $1.50 increase hourly

Employees with at least 9 years but below 12 years receive $2.00 increase hourly

This information can be expressed as a piecewise function:

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

The conditions are outlined in the piecewise function above with x indicating the number of years employed.

6 0
3 months ago
Definitions and Data Due Sun 02/03/2019 11:59 pm A researcher is interested in attitudes towards releasing prisoners with Alzhei
tester [12383]

Answer:

Step-by-step explanation:

Aligning each vocabulary term with its relevant example:

(1). All Americans = f. Population (a collective of items or subjects studied, e.g., residents of an area, the number of vehicles in a city, or employees in a workplace)

(2). The percentage of all Americans who strongly believe prisoners with life sentences who develop Alzheimer's should be released = c. Parameter (the figure summarizing a characteristic of a population)

(3). The percentage of the 85 surveyed Americans who strongly feel that prisoners with life sentences who have Alzheimer's should be released = d. Statistic (the characteristic of a sample that corresponds to a population parameter used for statistical inference)

(4). The responses being 'Strongly Agree', 'Agree', 'Disagree', or 'Strongly Disagree' = b. Variable (any measurable quality or characteristic)

(5). The 85 individuals surveyed = e. Sample (a subset of a population chosen based on certain criteria)

(6). The array of responses provided by the 85 participants = a. Data (the collected pieces of information meant for analysis)

6 0
3 months ago
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large value
zzz [12365]

It's option C.

The value escalates threefold compared to the last step.

All other function values increase by a constant amount, resulting in linear behavior

7 0
2 months ago
A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes. (Use set notation for the domain and ran
Inessa [12570]
A cyclist maintains a consistent speed of 12 miles per hour over a period of 45 minutes. We apply the formula, Distance = speed * time With a constant speed of 12, it reflects a linear relationship. The equation is represented as d = 12t, where t stands for time and d signifies distance. At the origin, t=0 and distance d=0. At the conclusion, t=45 min = 0.75 hours and consequently, distance is 12 * 0.75 = 9. Thus, the domain (t) is { } Range (d) is { }
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2 months ago
Read 2 more answers
Pepita and francisco each spend a equal amount of time on homework. The table shows the fraction of time they spend on each subj
Zina [12379]

Answer:

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&\dfrac{1}{6}&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\dfrac{1}{8}\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

Step-by-step explanation:

Pepita and Francisco allocate equal amounts of time to their homework. The table indicates how they distribute their time across various subjects.

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

Pepita dedicated

\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{2\cdot 2+1\cdot 1}{6}=\dfrac{5}{6}

to English and Science.

Thus, she utilized

1-\dfrac{5}{6}=\dfrac{6}{6}-\dfrac{5}{6}=\dfrac{1}{6}

for Math.

On the other hand, Francisco spent

\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{1\cdot 4+3\cdot 1}{8}=\dfrac{7}{8}

on Math and Science, resulting in him spending

1-\dfrac{7}{8}=\dfrac{8}{8}-\dfrac{7}{8}=\dfrac{1}{8}

on English.

The table displays:

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&\dfrac{1}{6}&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\dfrac{1}{8}\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

5 0
2 months ago
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