Answer:
\( \sqrt{ { (- 3 - 2)}^{2} + {(1 - ( - 1))}^{2} } \)
\( \sqrt{ {( - 5)}^{2} + {2}^{2} } \)
\( \sqrt{25 + 4} = \sqrt{29} \)
(5x^3)^2 simplified getting like 2 different answers on my own
Answer:
25\(x^{6}\)
Step-by-step explanation:
Given
(5x³ )²
= 5x³ × 5x³
= 5 × 5 × x³ × x³
= 25\(x^{6}\)
Answer:
5^2x^6
Step-by-step explanation:
I put it into a algebra calculator and this is what I got so I hope it helps:))
because 25 percent of the students in my morning statistics class watch eight or more hours of television a week, i conclude that 25 percent of all students at the university watch eight or more hours of television a week. the most important logical weakness of this conclusion would be
The main logical weakness of the conclusion is the hasty generalization made from a potentially unrepresentative sample. To strengthen the argument, a more comprehensive survey of the university's student population should be conducted.
The most important logical weakness of the conclusion that "25 percent of all students at the university watch eight or more hours of television a week" based on the observation from your morning statistics class is that it involves a hasty generalization.
A hasty generalization occurs when you draw a conclusion about a larger group based on a smaller, unrepresentative sample. In this case, the student question assumes that the morning statistics class is representative of the entire university, which may not be true.
To better explain this logical weakness, let's break down the steps:
The student observes that 25 percent of the students in their morning statistics class watch eight or more hours of television a week.
The student then concludes that this must apply to all students at the university.
The conclusion does not account for potential differences between the morning statistics class and other classes or students at the university.
To overcome this logical weakness, a more representative sample of the university's student population should be surveyed to accurately determine the percentage of students who watch eight or more hours of television a week. This might involve selecting students from different majors, class schedules, and demographic backgrounds to ensure that the sample truly represents the entire university population.
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PLEASE HELPPP
What is the side length if the area of the square is 121 cm??
А
121 cm
B.
11 cm
с
12 cm
D
13 cm
Answer:
B: 11
Step-by-step explanation:
121 is the area. Since a square is a shape with all even sides you need to find one number that multiplies by itself to get 121. 11x11=121
B: 11
How to Convert Hexadecimal to Binary or Decimal?
By using the following steps, we can convert Hexadecimal to Binary or Decimal numbers.
Step 1: Take the hexadecimal number provided.
Step 2: Determine how many digits there are in the decimal.
Step 3: If there are n digits, multiply each one by \(16^{(n-1)}\), where n is the number of the digit and 16 resembles the value of Hexa.
Step 4: After multiplying, add the terms.
Step 5: The output is the decimal number that corresponds to the provided hexadecimal number. This decimal number must now be converted to a binary number.
Step 6: Divide the decimal number by 2.
Step 7: Take note of the rest.
Step 8: Repeat steps 2 and 3 for the quotient until it reaches zero.
Step 9: Reverse the order of the remainders.
Step 10: The necessary binary number is the result.
Therefore, we get Hexadecimal to Binary or Decimal numbers
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Apply the distributive property to factor out the greatest common factor 60 - 40y
Answer:
Step-by-step explanation:
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ 60- 40y = 20(3 - 2y)
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
Write the equation of a line that is perpendicular to y = 5x – 7 and that
passes through the point(-7,-5). Write the equation in slope-
intercept form, y = mx + b.
Answer:
y=2
Step-by-step explanation:
HELP PLEASE ILL MARK U BRAINLIEAST!!
this is for geometry can someone please help me find the missing angles?
Answer:
x = 50° , y = 40°
Step-by-step explanation:
x and 40° form a right angle and sum to 90° , that is
x + 40° = 90° ( subtract 40° from both sides )
x = 50°
x and y form a right angle and sum to 90° , then
x + y = 90°
50° + y = 90° ( subtract 50° from both sides )
y = 40°
why is 56.607 less than 56.617 using place value
To compare 56.607 and 56.617 you have to look at the hundredths place. Given that 0 is less than 1, then 56.607 is less than 56.617
Combine like terms to write the expression in simplest form.
42? + 5y? 2² - 3y²
3y” — Бу
Answer:Missing: 3y² Бу
Step-by-step explanation:
Step-by-step explanation:
hope it helps
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John sells frozen fruit bars at a stand in a park during the summer months. He records the average weekly temperature and number of frozen fruit bars sold for 6 weeks. A 2-column table with 6 rows. The first column is labeled temperature (degrees Fahrenheit) with entries 67, 71, 76, 76, 82, 87. The second column is labeled fruit bars sold with entries 50, 54, 63, 65, 65, 100. What type of correlation exists between the temperature and the number of fruit bars sold? What is the real-world meaning of the slope of the line of best fit for the given scenario? There are approximately more fruit bars sold for every degree(s) the temperature rises.
The correlation that exists between the temperature and the number of fruits sold is positive but is almost negligible.
What is the correlation coefficient?The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at all, therefore, independent variable.
We know that the correlation coefficient is given by the formula,
\(r =\dfrac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}\)
r = correlation coefficient
\(x_{i}\) = values of the x-variable in a sample
\(\bar{x}\) = mean of the values of the x-variable
\(y_{i}\) = values of the y-variable in a sample
\(\bar{y}\) = mean of the values of the y-variable
Calculate the value of \((x_i-\bar{x})(y_i-\bar{y}),\ (x_i-\bar{x})^2,{ \rm and}\ (y_i-\bar{y})^2\) each separately, and then find the sum of them as shown below, therefore, the formula can be written as,
\(r =\dfrac{571.5}{261.5\times 1566.833333}= 0.0014\)
Hence, the correlation that exists between the temperature and the number of fruits sold is positive but is almost negligible.
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Answer:
1. positive
2. 2.2
3. 1
Step-by-step explanation:
What type of sample does personal experience generate?.
Personal experience generates firsthand knowledge that is derived from an individual's direct involvement or observation of a particular event, situation, or phenomenon. This type of sample is unique to each person and provides a subjective understanding of the subject matter.
Personal experience is an essential source of learning and understanding as it allows individuals to gain insight, develop skills, and form opinions based on their own encounters. It can provide a deep understanding of emotions, perspectives, and nuances that cannot be fully grasped through secondhand information. Personal experiences are often considered valuable as they offer authenticity and a sense of relatability, enabling individuals to connect with others on a personal level. Additionally, personal experiences can serve as a foundation for personal growth and development, shaping one's beliefs, values, and decision-making processes.
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A set of history exam scores are normally distributed with a mean of 83. 283. 283, point, 2 points and a standard deviation of 888 points. What proportion of exam scores are between 828282 and 89. 289. 289, point, 2 points? you may round your answer to four decimal places.
The Proportion of exam results between 82 and 89.2 points is 0.3330.
What is standard deviation?
A measurement of a data set's deviation from the mean is referred to as "standard deviation" (or ""). A low standard deviation means that the data are grouped around the mean, whereas a large standard deviation says that the data are more spread out..
For instance, the mean of the two integers 2, 7, 14, 22, 30 and 15, 15, 15, 14, 16 is the same. But the second is clearly more diffused.
Given:
Mean is 83.2 points, and
8 points is the standard deviation.
Consequently, the proportion is
P(82 ≤ x ≤ 89.2)
=P( 82- 83.2 / 8 ≤ z ≤ 89.2 - 83.2/8)
=P (0.75) - P(-0.15)
=0.7734 -(0.4404)
= 0.3330
So, the Proportion of exam results between 82 and 89.2 points is 0.3330.
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Explain and demonstrate how to change
4/20
into a percent
Answer:
20%
Step-by-step explanation:
We know that if the Denominator of a fraction is converted to 100 so the fraction becomes as much percent as numerator.Denominator of the given fraction is 20 and multiplying it by 5 will produce 100. Means it's denominator would become 100.So, let us multiply Numerator and Denominator of the given fraction by 5, we find:\(\frac{4}{20}\times \frac{5}{5}\)\(=\frac{4\times 5}{20\times 5}\)\(=\frac{20}{100} \)= 20%rahim's father's age is 3 times as old as him. if their sum is 56 , find their ages
Answer:
Rahim is 14 and his father is 42.
Step-by-step explanation:
Let F be Rahim's father's age and R is Rahim's age.
We learn that:
F = 3R [Rahim's father's age is 3 times as old as him]
and
F + R = 56 [their sum is 56]
----
We have 2 equations and two unknowns, so we should be able to find the answers.
Rearrange the second equation to: F = 56 - R
The use that definition of F in the first equation:
F = 3R
(56-R) = 3R
Then we can find R:
56-R = 3R
4R = 56
R = 14
Since R=14 and F + R = 56,
F + R = 56
F + 14 = 56
F = 42
Check
Does F=3R?
42 = 3(14)? YES
Does F + R = 56?
42 + 14 = 56? YES
Rahim is 14 and his father is 42.
complete the identitysin 2x - cot x
Let's complete the identity:
\(\begin{gathered} \sin 2x-\cot x=2\sin x\cos x-\frac{\cos x}{\sin x} \\ =\frac{2\sin^2x\cos x-\cos x}{\sin x} \\ =\frac{\cos x(2\sin^2x-1)}{\sin x} \\ =\frac{\cos x}{\sin x}(2\sin ^2x-1) \\ =\frac{\cos x}{\sin x}(2(1-\cos ^2x)-1) \\ =\frac{\cos x}{\sin x}(2-2\cos ^2x-1) \\ =\frac{\cos x}{\sin x}(1-2\cos ^2x) \\ =\frac{\cos x}{\sin x}(-\cos 2x) \\ =-\cot x\cos 2x \end{gathered}\)Find the area of a triangle that has sides of 7, 9, and 12 inches
The area of the triangle is approximately 31.3049 square inches.
The area of a triangle can be found using the formula: A = (1/2)bh, where b is the length of the base of the triangle, and h is the height (or perpendicular distance from the base to the opposite vertex).
However, in this case, we don't have the height. Instead, we can use
Heron's formula, which only requires the lengths of the three sides of the triangle:
A = √[s(s-a)(s-b)(s-c)],
where a, b, and c are the lengths of the sides of the triangle, and s is the semiperimeter (half the perimeter): s = (a + b + c)/2.
Using the given values, we have:
s = (7 + 9 + 12)/2 = 14
A = √[14(14-7)(14-9)(14-12)]
A = √[14(7)(5)(2)]
A = √(980)
A ≈ 31.3049 square inches
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Solve the equation -3x²+ 5x + 4=0 . Show your work.
the solutions to the equation -3x² + 5x + 4 = 0 are:
x = (-5 + √73) / (-6)
x = (-5 - √73) / (-6)
To solve the quadratic equation -3x² + 5x + 4 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x are given by:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation, a = -3, b = 5, and c = 4. Plugging these values into the quadratic formula, we get:
x = (-5 ± √(5² - 4(-3)(4))) / (2(-3))
Simplifying further:
x = (-5 ± √(25 + 48)) / (-6)
x = (-5 ± √73) / (-6)
So, the solutions to the equation -3x² + 5x + 4 = 0 are:
x = (-5 + √73) / (-6)
x = (-5 - √73) / (-6)
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Inorganic Solids include a.)Sand, Grit, & Minerals b.) Sand, Grease, & Organics 7/88 c). Grease, Grit, & Organic Solids d.) Organic materials from Plants, Animals, or Humans e). Both a & d
Inorganic solids found in wastewater treatment processes primarily consist of sand, grit, and minerals. These substances are of mineral origin and do not contain carbon-hydrogen (C-H) bonds. Organic materials, such as grease and organic solids derived from plants, animals, or humans, are not classified as inorganic solids. Proper identification and separation of inorganic solids are important in wastewater treatment to ensure effective treatment and disposal of these substances.
Inorganic solids are substances that do not contain carbon-hydrogen (C-H) bonds and are not derived from living organisms. They are typically minerals or non-living materials found in nature.
a) Sand, Grit, and Minerals: Sand and grit are examples of inorganic solids commonly found in wastewater treatment processes. They are mineral particles that may enter the wastewater from various sources, such as soil erosion or industrial discharges. Minerals, which encompass a wide range of elements and compounds, can also be present as inorganic solids in wastewater.
b) Sand, Grease, and Organics: Grease is a form of organic material derived from animals or plants and is not considered an inorganic solid. Therefore, option b is incorrect.
c) Grease, Grit, and Organic Solids: While grease and grit are mentioned in this option, the inclusion of organic solids makes it incorrect. Organic solids are derived from living organisms and contain carbon-hydrogen (C-H) bonds. Inorganic solids, by definition, do not contain C-H bonds. Therefore, option c is incorrect.
d) Organic materials from Plants, Animals, or Humans: Organic materials from plants, animals, or humans are considered organic solids and are not inorganic solids. Therefore, option d is incorrect.
e) Both a and d: This option is correct. Inorganic solids include sand, grit, and minerals (option a), as well as organic materials derived from plants, animals, or humans (option d). The presence of both mineral-based inorganic solids and organic materials in wastewater necessitates appropriate treatment methods to effectively remove and manage these substances.
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From a temperature of -29.03° F, a solution heats up 26.5° F.
What is the resulting temperature of the solution?
Think about the situation. What operation does the situation require?
Drag a word to the box to correctly complete the statement.
Answer:
Remember, a positive and a negative while being added is always a negative outcome, so when you add -29.03 + 26.5, you get -2.53
The graph of y= f(x) determine f (x) = 3
Answer:
-3
because f(x)= y then y =3
therefore if we find point 3 on y axis and then see which point is on the horizontal line of 3 which is -3
hope this helps you.
Grandma two pumpkins weigh 9. 36kg together. If the heavier pumpkin is twice the weight of the lighter one how much each pumpkin weigh
The lighter pumpkin weighs 3.12 kg, and the heavier pumpkin weighs 6.24 kg.
To solve this, we'll use the given information to set up an equation and then solve for the weight of each pumpkin.
Let the weight of the lighter pumpkin be x kg.
Since the heavier pumpkin is twice the weight of the lighter one, its weight would be 2x kg.
The combined weight of both pumpkins is 9.36 kg, so we can write an equation as follows:
x + 2x = 9.36
Now, we'll solve for x:
3x = 9.36
x = 9.36 / 3
x = 3.12 kg
Now that we have the weight of the lighter pumpkin (x = 3.12 kg), we can find the weight of the heavier pumpkin:
2x = 2(3.12) = 6.24 kg.
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in a probability model, the sum of the probabilities of all outcomes must equal 1. (true or false)
True, in a probability model, the sum of the probabilities of all outcomes must equal 1.
The statement is true. In a probability model, the probabilities assigned to all possible outcomes must add up to 1. This principle is known as the Law of Total Probability and is a fundamental property of probability theory.
When working with probabilities, we assign a probability value to each possible outcome or event. These probabilities must satisfy certain conditions, one of which is that their sum must be equal to 1. This ensures that the total probability accounts for all possible outcomes and covers the entire sample space.
The sum of probabilities equal to 1 reflects the notion that the entire sample space represents the complete set of possible outcomes, and therefore, the sum of their probabilities must encompass the entire probability space.
If the sum of the probabilities of all outcomes does not equal 1, it would violate the principles of probability theory, leading to inconsistencies and invalid calculations. Therefore, ensuring that the sum of probabilities equals 1 is crucial for a valid and coherent probability model.
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Rewrite the function to determine whether it represents exponential growth or exponential decay
m(t)=2(1.18)^((t)/(3))
Answer:
Growth.
Step-by-step explanation:
The growth factor is 1.18 ( > 1) and the exponent is > 0.
In the graph, what fraction does the arrow point to?
3/4
----------------------
Solve each system.
[x-3 y =-1 -6 x+19 y =6 ]
The system of equations [x - 3y = -1 and -6x + 19y = 6] can be solved, resulting in x = -1 and y = 0.
To solve the system of equations [x - 3y = -1 and -6x + 19y = 6], we can use the method of substitution or elimination.
Let's solve it using the method of elimination.
First, we can multiply the first equation by 6 and the second equation by -1 to eliminate the x terms.
This gives us [6x - 18y = -6 and 6x - 19y = -6].
Now, subtracting the first equation from the second eliminates the x terms, leaving us with -y = 0. Solving for y, we find y = 0.
Substituting this value back into the first equation, we get x - 3(0) = -1, which simplifies to x = -1.
Therefore, the solution to the system of equations is x = -1 and y = 0.
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There are 3 times as many students participating in a
band trip this year than last year. There are 42 students
on the trip this year.
Jack says 3s = 42 describes the situation. What does the variable s represent? How many students went on the band trip last year
Answer:
s represents the number of students that went on the band trip last year. last year 14 people went on the trip.
Step-by-step explanation:
What is the base area of a cube of volume 125 cubic units?
Base area = ______ sq. units.
Answer: The base area of the cube is 25 square units.
Step-by-step explanation: A cube has six square faces, all of which are identical. The base area of a cube refers to the area of one of these square faces.
The formula for the volume of a cube is:
V = s^3
where V is the volume of the cube and s is the length of one side of the cube.
If we know the volume of the cube is 125 cubic units, we can solve for the side length:
125 = s^3
Taking the cube root of both sides, we get:
s = 5
Therefore, each side of the cube has a length of 5 units. The area of one of the square faces of the cube is:
A = s^2
A = 5^2
A = 25 square units
So the base area of the cube is 25 square units.
Answer:
25 square units.
Step-by-step explanation:
If a cube has a volume of 125 cubic units, then the edge length of the cube is the cube root of 125:
edge length = ∛125 = 5
Since all sides of a cube are equal, the base of the cube is a square with sides of length 5 units. The area of a square is calculated by multiplying the length of one side by itself:
base area = 5 × 5 = 25 sq. units.
Therefore, the base area of the given cube is 25 square units.
Solve for x.ܐܐܢ2x + 20 2x - 4+x == [?]
ANSWER
x = 41
EXPLANATION
The given angles are supplementary, so their measures add up to 180°,
\((2x+20)+(2x-4)=180\)Now we have an equation for x. First, add like terms,
\(\begin{gathered} (2x+2x)+(20-4)=180 \\ 4x+16=180 \end{gathered}\)Then subtract 16 from both sides of the equation,
\(\begin{gathered} 4x+16-16=180-16 \\ 4x=164 \end{gathered}\)And finally, divide both sides by 4,
\(\begin{gathered} \frac{4x}{4}=\frac{164}{4} \\ x=41 \end{gathered}\)Hence, x = 41.
Select the correct numeral form of this number written in scientific notation. 4. 1 × 10^2 4,100 0. 41 410 41,000
Step-by-step explanation:
4.1 X 10^2 is 4.1 X 100 = 410
please help, im desperate
Answer:
i think 124...is the answer