Therefore, the volume of the rectangular prism is 87.5 cubic yards.
What is prism?A prism is a transparent object, usually made of glass or plastic, that refracts or bends light as it passes through it. It has at least two flat surfaces, called faces, that are usually parallel and rectangular in shape, and two non-parallel faces, called bases, which are usually triangular in shape. When light enters a prism, it is refracted, or bent, as it passes through the prism and is separated into its component colors, creating a rainbow effect. Prisms are often used in optics and science experiments to study the properties of light, such as its wavelength and polarization. They are also commonly used in optical instruments such as binoculars, telescopes, and cameras to help focus and direct light.
The volume V of a rectangular prism is given by the formula:
V = length x width x height
In this case, the length is 5 yards, the width is also 5 yards, and the height is 3- and one-half yard.
To calculate the volume, we can plug this value into the formula:
V = 5 yards x 5 yards x 3.5 yards
Simplifying this expression, we get:
V = 87.5 cubic yards
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Answer:
The volume of a rectangular prism is the product of its length, width, and height. In this case, the length is 5 yards, the width is 5 yards, and the height is 3.5 yards. Therefore, the volume of the prism is 5 * 5 * 3.5 = 87.5 cubic yards.
Here is the calculation:
Volume = length * width * height
= 5 yards * 5 yards * 3.5 yards
= 87.5 cubic yards
Step-by-step explanation:
Please help me quickly with this guys it’s 2:43pm and it’s due at 3pm
Answer:
The slope is -1 and the y-intercept is 2.
Step-by-step explanation:
Since it is -x, the only way is if -1 and x were multiplied together. The Slope-Intercept Form is y = mx + b
amit took part in an cycle race .he started at 1:25 pm and reached the finishing line at 1:50 . what was the duration of the race ?
amit took a part in cycle race .he started at 1:25 and he reached finishing lline at 1:50 pm what was the duration of the race .
Answer:
25 minutes
Step-by-step explanation:
The time difference between 1:25 and 1:50 is 25 min
The sum of 18 + 45 is a multiple of which sum?
Answer: multiple of sum 2+5
Step-by-step explanation:
18/9=2
45/9=5
2+5=7
18+45=63
63/7=9
2+5
Jasmine has $26 to spend on binders and one pack of pens. The pack of pens costs $4. 75. Each binder costs $5. Write an inequality to determine the maximum number of binders she can buy, (Define your variable. )
Jasmine can buy a average of 4 binders because the cost of the binders, multiplied by the number of binders she wants to buy, plus the cost of the pens, must not exceed her total budget of $26.
Step 1: Define the variable. Let x represent the number of binders Jasmine can buy.
Step 2: Write the inequality. 5x + 4.75 ≤ 26
Step 3: Solve the inequality. 5x ≤ 21.25
Step 4: Isolate the variable. x ≤ 4.25
Step 5: The maximum number of binders Jasmine can buy is 4.
Let x represent the number of binders Jasmine can buy
5x + 4.75 ≤ 26
5x ≤ 21.25
x ≤ 4.25
Jasmine has a total of $26 to spend on binders and one pack of pens. The cost of the pens is $4.75, and each binder costs $5. To determine the maximum number of binders she can buy. The inequality we need to solve is 5x + 4.75 ≤ 26. We can solve this inequality by first multiplying both sides of the equation by 5, which gives us 5x ≤ 21.25. We can then isolate the variable by dividing both sides of the equation by 5, which gives us x ≤ 4.25. This means that the maximum number of binders Jasmine can buy is 4.
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Use the graph to answer the following question.
What is the length, to the nearest unit, of diagonal WS ?\
a. 7 units
b. 5 units
c. 6 units
d. 34 units
The length of diagonal, to the nearest unit, WS is 6 units.
Using the graph, the length of the diagonal WS can be determined by applying the Pythagorean Theorem.
The theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
That is, c² = a² + b². In this case, the hypotenuse is the diagonal WS.
Let's begin by determining the lengths of the other two sides:
Triangle USV: US = 5 units, SV = 5 units
Triangle UVW: UV = 4 units, VW = 3 units
Now we can apply the Pythagorean Theorem:
WS² = UV² + US²
WS² = (4 units)² + (5 units)²
WS² = 16 + 25
WS² = 41
Taking the square root of both sides, we get:WS ≈ 6 units
the length of diagonal WS, to the nearest unit, is 6 units. Hence the correct option is c. 6 units.
200 words
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Given the following test scores, find a 95 percent confidence interval for the population mean: 148, 154, 158, 160, 161, 162, 166, 170, 182, 195, 236. Assume population normality
A 95% confidence interval for the population mean can be calculated by finding the sample mean and the margin of error for a given level of confidence.
To do this, we need to find the sample mean and standard deviation of the sample data and then use the standard error of the mean.
Here are the steps to calculate the 95% confidence interval:
Calculate the sample mean:
The sample mean is calculated by summing up all the sample data points and dividing by the total number of data points:
Sample mean = (148 + 154 + 158 + 160 + 161 + 162 + 166 + 170 + 182 + 195 + 236) / 11 = 167.36
Calculate the sample standard deviation:
The sample standard deviation is calculated as follows:
Sample standard deviation = sqrt(((148-167.36)^2 + (154-167.36)^2 + (158-167.36)^2 + (160-167.36)^2 + (161-167.36)^2 + (162-167.36)^2 + (166-167.36)^2 + (170-167.36)^2 + (182-167.36)^2 + (195-167.36)^2 + (236-167.36)^2) / 11-1) = 33.07
Calculate the standard error of the mean:
The standard error of the mean is calculated as follows:
Standard error of the mean = sample standard deviation / sqrt(sample size) = 33.07 / sqrt(11) = 11.11
Calculate the margin of error:
The margin of error is calculated as follows:
Margin of error = t-value * standard error of the mean
where t-value is the critical value from the t-distribution table for a given degree of freedom and level of confidence. For a 95% confidence level and 10 degrees of freedom, the t-value is approximately 1.833.
Margin of error = 1.833 * 11.11 = 20.53
Calculate the lower and upper bounds of the confidence interval:
The lower and upper bounds of the confidence interval are calculated as follows:
Lower bound = sample mean - margin of error = 167.36 - 20.53 = 146.83
Upper bound = sample mean + margin of error = 167.36 + 20.53 = 187.89
Therefore, the 95% confidence interval for the population mean is [146.83, 187.89]. This means that we are 95% confident that the true population mean lies between 146.83 and 187.89.
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Statistical time division multiplexing is sometimes called ____ time division multiplexing. a. empirical c. asynchronous b. random d. synchronous.
Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. The correct answer is "c. asynchronous."
Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. However, it should be noted that statistical time division multiplexing is different from synchronous time division multiplexing, which divides the time slots in a fixed, predetermined manner. In statistical time division multiplexing, the time slots are allocated dynamically based on the data traffic, hence the term "statistical".
More specifically, asynchrony describes the relationship between two or more events/objects that interact in the same system but do not occur in a predetermined manner and are not necessarily dependent on each other's existence for escape. They do not cooperate with each other, which means they may or may not occur simultaneously as they have their own separate processes.
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What is the slope of the line?
A.) 1
B.) 1/2
C.) -2
D.) 2
Answer:
D
Step-by-step explanation:
Summary consider the exponent properties (a^n)^m=a^nm and a^nb^n=(ab)^n. what is the main difference in these properties? when simplifying an expression, how would you decide which one to use?
The main difference between these exponential properties is that for (a^n)^m=a^(nm) we have the same base, hence we just just multiply the powers, applying the power of power rule. For a^nb^n=(ab)^n, we have different bases, hence the exponent is just a common factor.
What is the power of a power rule?The power of a power rule is used when a single base is elevated to multiple exponents.
Then the simplified expression is obtained keeping the base, while the exponents are multiplied.
It can be applied if the bases are the same, that is:
(a^n)^m = a^(n x m) = a^(nm).
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_____ consists of a series of 0s and 1s representing data or instructions.
The series of 0s and 1s representing data or instructions is called binary code. It is the foundation of digital communication and computing systems. Each binary digit, or bit, can be thought of as a switch that is either off (0) or on (1), allowing for the representation of complex information.
Binary code is a system used to represent data or instructions using only two symbols: 0 and 1. It is the foundation of digital communication and computing systems. Each digit in binary code is called a bit, which is short for "binary digit." Bits can be thought of as switches that can be in one of two states: off (0) or on (1).
By arranging these bits in different patterns, we can represent and manipulate complex information. For example, in binary code, the letter "A" is represented as 01000001. This binary representation allows computers to process and store information using electronic circuits that can easily interpret and manipulate 0s and 1s.
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Using a metric ruler with 1 mm divisions, you find the sides of a rectangular piece of plywood as 3.7 cm and 4.85 cm. To the correct number of significant figures, the area should be expressed as _____. A. 17,95 cm2 B. 17,945 cm2 C. 18 cm2 D. 17,9 cm2
On solving the provide question, we can say that the correct number of significant figures, the area should be expressed as 5 cm and 10 dm and 2500 mm and 750 cm
what is significant figures?The number of significant digits in a value—often a measurement—contributes to the accuracy of the value. From the first non-zero digit, begin counting the important digits. To the right of the last non-zero decimal place, all zeros are acceptable. For instance, the number 0.0079800 has five significant digits. When they come from the measurement, any zeros to the right of the final non-zero digit are important. equivalently rounds an integer to 3 significant digits and 3 decimal places. Start counting at the first non-zero digit and go up to three. After that, remove the final digit. Add zeros to the last two numbers to the right of the decimal point.
he sides of a rectangular piece of plywood as = 3.7 cm and 4.85 cm
the correct number of significant figures, the area should be expressed as
1. 5 cm
2. 10 dm
3. 2500 mm
4. 750 cm
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find the residual if you know the actual number is 3 and the predicted value is 1.6
The residual if you know the actual number is 3 and the predicted value is 1.6l is 1.4.
The residual is a measure of the difference between the predicted value and the actual value. In this case, the actual number is 3, and the predicted value is 1.6. To find the residual, we subtract the predicted value from the actual value:
Residual = Actual Value - Predicted Value
= 3 - 1.6
= 1.4
Therefore, the residual in this case is 1.4.
The residual represents the error or the amount by which the predicted value differs from the actual value.
A positive residual indicates that the predicted value is lower than the actual value, while a negative residual indicates that the predicted value is higher than the actual value.
In this case, the positive residual of 1.4 indicates that the predicted value of 1.6 underestimates the actual value of 3 by 1.4.
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Sasha is collecting cans to recycle. When she collected 180 cans she knew she had reached 60% of her goal
Answer: 300 cans
Step-by-step explanation:
Questions wants to know what her goal was:
When Sasha collected 180 cans, she reached 60% of her goal. This means that 180 is 60% of the goal that she set for herself.
To find this goal, assume that it is denoted as x. In such a case, the goal would be expressed as:
180 = 60% * x
x = 180 / 60%
x = 300 cans
Which choice best establishes the argument that
follows?
A) NO CHANGE
B) should lean heavily on their employers.
C) must be in charge of their own careers.
D) will be ready for changes in the job market.
The choice that best confirms the following argument is that they should pursue their own career. Option C is correct.
Given the view of the passage is shown in the attached images.
Option C is the best answer. Employees "should be accountable for theirs own career ". This statement provides an argument for the following: "it is a duty to. . . identify employees. . . resources" must notes that I'm "late for work" - and claims the also the previous statement on shared responsibility.
Options other than C are A, B and D are false because they do not provide an argument as to what to do if employees are "late at work".
Hence, the choice which best establishes the argument that follows from the given passage is must be in charge of their own careers.
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Of all the registered automobiles in a certain state, 25% violate the state emissions standard. twelve automobiles are selected at random to undergo an emissions test. find the probability that fewer than three of them violate the standard.
The probability that fewer than three of them violate the standard is 0.3907.
How to calculate the probability?In this case, the binomial distribution will be used where n = 12 and p = 25% = 0.25.
Therefore, p(x < 3) will be:
= p(x = 0) + p(x = 1) + p(x = 2)
= 0.03167 + (0.12671) + 0.23229
= 0.3907
The probability that fewer than three of them violate the standard is 0.3907.
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What is the distance between the points (2, -7) and (-3, -2) on the coordinate plane?
Bracelets are on sale for 3 for $15. How much do 5 bracelets cost?
Answer:
25
Step-by-step explanation:
15 divided by 3 is 5. Meaning, each bracelet cost $5. 2 bracelets cost 10 more dollars since 5x2 is equal to $10. 15+10=25
36. Jacques counts aloud by 4s and Jean-Pierre
by 6s. Write the first two numbers that they
will both say?
37. Which will form more different
rectangular shapes, a set of 12 square tiles
or a set of 15 square tiles? Draw diagrams to
illustrate your answer. (No need to draw).
20 points please answer both questions
\(\sqrt{25} is an irrational
Answer:
Is Square Root of 25 Rational or Irrational?
Step-by-step explanation:
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
The answer is:
⇨ √25 is a rational numberWork/explanation:
What are rational numbers?
Rational numbers are integers and fractions.
Irrational numbers are numbers that cannot be expressed as fractions, such as π.
Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.
Hence, √25 is rational.Omani drives 66 miles in 1.5 hours
Adedi drives 56 km in 1 hour 15 min
Workout the difference between their average speeds km/h
1 mile = 1.6 km
Answer:
25.6 km/h
Step-by-step explanation:
Omani:
First, 1.5 hours = 1 hour and 30 minutes
and 66 miles = 105.6 km (66 x 1.6 = 105.6)
105.6 / 1.5 = 70.4 km/h
Omani's speed is 70.4 km/h
Adedi:
1 hour and 15 minutes is 1.25 hours
she drives 56 km in 1.25 hours
So 56 / 1.25 = 44.8 km/h
Adedi's speed is 44.8 km/h
Difference:
70.4 - 44.8 = 25.6 km/h
Omani is faster than Adedi with 25.6 km/h
Given that p is a whole number, and 1/4 < 2/p < 1/3, what is the value of p?
Answer:
p = 6
Step-by-step explanation:
A classroom has a perimeter of 90 feet. What is the perimeter of the
classroom in yards?
270 yards
30 yards
300 yards
27 yards
2) The ratio of the angles in a triangle is
3:3:4. What is the measure of the largest
angle?
14. The population of Booneville was 8745 in 2009, but dropped to 7913 in 2011. Find the
percent of decrease in population.
Answer:
The U.S. population 65 and older is now the largest in terms of size and percent of the population, compared with any previous census, according to a new 2010 Census brief [PDF] released today from the U.S. Census Bureau on the nation's older population. The group grew at a faster rate than the total population between 2000 and 2010.
According to the 2010 Census, there were 40.3 million people 65 and older on April 1, 2010, increasing by 5.3 million since the 2000 Census when this population numbered 35.0 million. The percentage of the population 65 and older also increased during the previous decade. In 2010, the older population represented 13.0 percent of the total population, an increase from 12.4 percent in 2000.
65 and Older Population Grew Faster than Total Population
Between 2000 and 2010, the population 65 and older grew 15.1 percent, while the total U.S. population grew 9.7 percent. The opposite happened between 1990 and 2000 when the growth of the older population was slower than the growth of the total population, with growth rates of 12.0 percent and 13.2 percent, respectively.
Population Size and Growth Varied Among the Older Age Groups
Examining the growth of 10-year age groups within the older population shows that 85- to 94-year-olds experienced the fastest growth between 2000 and 2010. This group grew by 29.9 percent, increasing from 3.9 million to 5.1 million.
Among five-year age groups in the older population, 65- to 69-year-olds grew the fastest. This age group grew by 30.4 percent, rising from 9.5 million to 12.4 million. The 65- to 69-year-old group is expected to grow more rapidly over the next decade as the first baby boomers start turning 65 in 2011.
The only older population age group to decline between 2000 and 2010 was the 75- to 79-year-old age group. This group decreased by 1.3 percent from 7.4 million to 7.3 million. The changes in this group mainly reflect the relatively low number of births during the early 1930s as fewer numbers of people entered these ages between 2000 and 2010.
Step-by-step explanation:
Rewrite in polar form:x^2 + y^2 - 2y = 7
Answer:
\(r^2=2r\sin\theta+7\)
Step-by-step explanation:
Recall that \(r^2=x^2+y^2\) and \(y=r\sin\theta\):
\(x^2+y^2-2y=7\\r^2-2r\sin\theta=7\\r^2=7+2r\sin\theta\)
Factor the expression using GCF
7h + 21
Write the number five million four thousand three hundred
in standard form.e.g 2000=2x10*3
Five million four thousand three hundred can be written in standard form as 5,004,300.
Write the number five million four thousand three hundred in standard form?5,004,300 = 5 x 10^6 + 4 x 10^3 + 3 x 10^0.The number is composed of five millions (5,000,000), four thousand (4,000) and three hundred (300).In standard form, all numbers are written as a multiple of a power of ten. To convert the number to a multiple of a power of ten, the millions, thousands and hundreds are split apart. The millions is written as 5x10^6. This is because one million is equal to 10^6, and there are five millions. The thousands is written as 4x10^3.This is because one thousand is equal to 10^3, and there are four thousands. The hundreds is written as 3x10^0. This is because one hundred is equal to 10^0, and there are three hundreds. When the three parts are combined, the number is written as 5x10^6 + 4x10^3 + 3x10^0.This can be simplified to 5,004,300. This is the standard form of the number five million four thousand three hundred.To learn more about standard form refer to:
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Answer:
The number five million four thousand three hundred can be written in standard form as `5,004,300`. In scientific notation, it can be written as `5.0043 x 10^6`.
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six distinct positive integers are randomly chosen between and , inclusive. what is the probability that some pair of these integers has a difference that is a multiple of ?
Answer:
So the probability of this happening is exactly 1 - it must be true
Step-by-step explanation:
If we calculate modulo(5) for each of the six numbers (the integer remainder after dividing by 5), we will get six values from 0 to 4.
By the pigeonhole principle, since there are 6 numbers and only 5 possible values, at least two must share the same value modulo 5. Pick two of those, say x and y, in which case x mod 5 = y mod 5, therefore (x - y) mod 5 = 0. In other words, their difference is a multiple of 5.
So the probability of this happening is exactly 1 - it must be true
In a 200 meter race, Hannah finished 45.42 seconds.Elena finished in 44.51 seconds,Dolores finished 44.08 seconds,and Tamika finished in 44.24 seconds.Which girl won the race? Who came in last?
The girl who won the race will be Dolores and the girl who came last will be Hannah.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
In a 200-meter race, Hannah finished 45.42 seconds. Elena finished in 44.51 seconds, Dolores finished in 44.08 seconds, and Tamika finished in 44.24 seconds.
If the time taken during the race is minimum, then the person will win the race. Then arrange the time in ascending order. Then we have
44.08 < 44.24 < 44.51 < 45.42
The girl who won the race will be Dolores and the girl who came last will be Hannah.
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What is the answer to 74% of 100
Answer:
74 is answer
Step-by-step explanation:
74%x100
74/100x100
74