The algebraic expression of the mathematical statement given as "The difference of a number squared and 6" is x^2 - 6
What are expressions?
Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the algebraic expression of the mathematical statement?The mathematical statement is given as
The difference of a number squared and 6
Represent the number with x
So, the mathematical statement becomes
The difference of a number squared and 6 ⇒ The difference of x squared and 6
x squared implies x^2
So, the mathematical statement becomes
The difference of a number squared and 6 ⇒ The difference of x^2 and 6
difference means minus (-)
So, the mathematical statement becomes
The difference of a number squared and 6 ⇒ x^2 - 6
Hence, the algebraic expression of the mathematical statement given as "The difference of a number squared and 6" is x^2 - 6
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given that 23x-32y =o where x and y are number bases express x in terms of o and y
Expressing x in terms of 0 and y gives x = 0 + (32/23)y
Given the expression 23x-32y = 0 with number bases x and y.
This equation actually expresses 0 in terms of x and y as 0 is isolated to one side of the equality.
We have to express x in the same equation in terms of 0 and y.
So we need to isolate x to one side of the equality.
23x-32y = 0
⇒23x = 0 +32y
Dividing throughout by 23 gives,
⇒ x = 0 + (32/23)y
This is x expressed in terms of 0 and y
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The difference in the percent of women who became pregnant in the two groups is statistically significant. Explain what this means to someone who knows little statistics.
Three principles of experimental design: Control, Random, Enough.
What is the principle of an experiment?
The guiding principles of experimental designs are randomization, replication, and local control. These recommendations offer a valid test of significance.
What are the three experimental design principles, and can you briefly describe how each one reduces experimental error?
The three essential principles of randomization, replication, and local control are applied to avoid systematic error and to control random error. Allocating the treatments or factors to be tested to the experimental units based on predetermined rules or probabilities is the process of randomization.How many experimental design principles are there?
Following are three fundamental principles of experimental design: Randomization: Applying various treatments to experimental units at random.Replication: Repeatedly employing the basic plan on several experimental units.Learn more about experimental design
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SOLVE ALL OF THESE AND NUMBER THEM ON WHAT QUESTION THE ANSWER IS FOR
Suppose that y is directly proportional to x. use the given information to find the constant of proportionality k. then use y = kx to find y for the given value of x. y = 30 when x = 10;find y given x = 14
The the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.
Constant proportionality:
Constant proportionality means the ratio of two proportional values at a constant value.
Directly Proportional:
In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively.
Given,
Suppose that y is directly proportional to x.
And y = kx.
Here we need to find the value of k when the value of x = 10 and the value of y = 30.
And we also need to find the value of y when the value of x = 14.
First, we have to find the value of k by apply the given value of the equation,
=> 30 = k x 10
=> 30 /10 = k
=> k = 3
Now the value of y when the value of x = 14 and the value of k = 3,
Then
=> y = 3 x 14
=> y = 42.
Therefore, the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.
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PLEASE I ONLY HAVE 15 MINS LEFT, HELP! Find the inverse of the following matrix:
Answer:
The inverse is [-4/3 -5/3 1]
[-4/3 -8/3 1]
[1/3 2/3 0]
Sorry, I didn't know how to type it well.
I need help, will somebody please help me and FAST! The question is in the picture
Answer:
I'm gonna solve it in words each day the snail climbs 3 feet but drops down to 2 feet ( 3-2 = 1) let the days it will take be equal to Xwe divide 10 feet by the feet reached a day, it will become:10/1 = X
Cross multiply
X = 10
so it would take 10 days for the snail to reach 10 feet Hope this helpsace that homeworkGood luck ✅Find the area of the region enclosed by the curves y = 7 sin x and y = sin(7x) , 0 < x
The area of the region enclosed by the curves y = 7sin x and y = sin(7x) , 0 < x < π is 13.7 square units.
Given the equation of the curves:
y = 7sin x and y = sin(7x)
Now, we have to find the area between the curves .
Area between y = 7sin x and y = sin(7x) ,
A = ∫[7sin(x) - sin(7x)]dx
⇒ A = [-7cos(x) + 1/7 cos(7x)]
⇒ A = [-7cos + 1/7 cos(7)] - [-7cos(0) + 1/7 cos(0)]
Since cos(π) = -1 ; cos(7) = -1 ; cos(0) = 1
⇒A = [-7(-1) + 1/7 * (-1)] - [-7 * 1 + 1/7 * 1]
⇒A = 7- 1/7 + 7 - 1/7
⇒A = 14 - 2/7
⇒A = 96/7
⇒A = 13.7 units
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In the figure below, m4=96°. Find mZ1, mZ2, and mZ 3.
The answer is m∠1 = 84°
Step-by-step explanation:
m∠4 = m∠2 so m∠2 = 96°
m∠1 + m∠2 = 360 - m∠4 - m∠2
m∠1 + m∠2 = 360 - 96 - 96
m∠1 + m∠2 = 168
m∠1 = 168/2
m∠1 = 84°
Find the range of allowable values based on the given information. round to the nearest tenth. 44; can vary by 4.2%
The range of allowable values based on 44 vary by 4.2% is 42.1 to 45.9.
As given in the question,
Value 44 vary by 4.2% is equal to
4.2% of 44
= ( 4.2 / 100) × 44
= 184.8 /100
= 1.848
≈ 1.9 (nearest tenth)
Range of allowable values based on 44 vary by 4.2% is given by
Lower limit = 44 - 1.9
= 42.1
Upper limit = 44+ 1.9
= 45.9
Therefore, the range of allowable values based on 44 vary by 4.2% is 42.1 to 45.9.
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The function m(x) = |x-441 represents the absolute deviation (in years) of a man's agex (in years) from the average age of men in a
city. The function w(x)=x-47| represents the absolute deviation (in years) of a woman's age x (in years) from the average age of
women in the same city. Compare the absolute deviations for a man and a woman who are both 64 years old.
A
The age of the man is years from the average age of men in the city. The age of the woman isyears from the average age of women in the city.
the absolute deviation for the man is 3 years more than the one for the woman.
How to compare the deviations?We know that the absolute value function:
m(x) = |x - 44|
Represents the absolute deviation of man's age, in years.
This means that the average age of a man in that city is 44 years old, so if a man has 64 years, then the absolute deviation is given by:
m(64) = |64 - 44| = 20
The absolute deviation for a man of 64 years old living in this city is 20 years.
Similar for the case of women, the equation here is:
w(x) = |x - 47|
If a woman has 64 years old, then the absolute deviation is:
w(64) = |64 - 47| = 17
The absolute deviation is 17 years.
We can see that the absolute deviation for the man is 3 years more than the one for the woman.
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Find the product of 2√/18 and 2√5 in simplest form. Also, determine whether the
result is rational or irrational and explain your answer.
2√10/3 is irrational number
The term "rational number" refers to any number that can be stated as a fraction, as well as a positive, negative, or zero. If q is not equal to zero, it can be expressed as p/q.
The word "rational" is derived from the word "ratio," which is a fraction and really refers to a comparison of two or more values or integer numbers. It is the ratio of two integers, to put it simply.
Consider the rational integer 3/2. It denotes that the integer 3 is divided by the number 2.
Irrational numbers are those that are not rational in nature. Let's explain; irrational numbers can be expressed as decimals but not as fractions, hence they cannot be expressed as the ratio of two integers.
After the decimal point, irrational numbers have an infinite amount of non-repeating digits. Here's an illustration of an irrational number:
For instance, 8 = 2.828
MULTIPLYING THE TWO NUMBERS,
2/√18 x 2√5
= 2 /3√2 x 2√5
= 4√5/3√2
= 2√2 x √5 /3
= 2√10/3
rational number multiplied by an irrational number is always a irrational number.
Since √10 is a irrational number, therefore, 2√10/3 is irrational number.
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The entire area under the standard normal distribution curve? can be any value cannot be negative can be any positive value can be any positive value larger than 1
The entire area under the standard normal distribution curve is always positive even if the z value is negative.
The normal distribution, it's useful to think of the standard deviation as being steps away from the mean. One step to the right or one step to the left is considered one standard deviation away from the mean. Two steps to the left or two steps to the right are considered two standard deviations away from the mean. Likewise, three steps to the left or three steps to the right are considered three standard deviations from the mean.
The probability of the outcome of an experiment is never negative, although a quasi probability distribution allows a negative probability, or quasi probability for some events. These distributions may apply to unobservable events or conditional probabilities.
Therefore,
The value can be negative can be any positive value can be any positive value larger than 1.
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In the figure below, m1=3x° and m2 = (x+18)°.
Find the angle measures.
L
2
m 21 =
m2 2 =
Answer: m 21=
I got it right on test!
Step-by-step explanation:
Triangle ABC has coordinates (-1, 3), (4, 2), and (0, -5). Its image is a dilation of ABC with a scale factor of 3. Identify the coordinates of its image.
The coordinates of ABC are respectively (-1/3,1), (4/3,2/3), and (0/3,5/3) .
Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).
If we are given the dilated point, then we can find the original point by dividing by the scale factor.
Triangle ABC was dilated by a scale factor of 3 about the origin mapping it to triangle A'B'C' with vertices A'(-1/3), B'(4/,2), and C(0/-5).
The coordinates of triangle ABC are:
A=(-1/3,3/3) = (-1/3)
B=(4/3,2/3) = (4/3,2/3)
C=(0/3,-5/3) = (0/3,-5/3)
coordinates are formed by two components that are a latitude , giving the north-south position, and a longitude, giving the east-west position.
Therefore the coordinates of ABC are respectively (-1/3,1), (4/3,2/3), and (0/3,5/3)
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I need help with these
Irrational because the number keeps going on forever and it does not repeat a certain pattern like 0.24242424...
Aaron is helping his uncle plant an apple orchard. After picking up a truckload of trees, they plant 12 of them. The next day, they still have 40 trees left to plant. Which equation can you use to find the total number of trees n in the original truckload?
A new apple orchard is being planted by Aaron's uncle. They plant 12 trees after picking up a truckload of them. They still need to plant 40 trees the following day.
The letter (N) is the symbol used to represent natural numbers. Natural numbers are also known as counting numbers, and they begin with the number 1 and continue to infinity (never ending), which is represented by three dots (...)
900n - 9[tex]n^2[/tex] = A(n) = n(900 - 9n)
For the highest A(n), A'(n) = 0, A'(n) = 900 - 18n = 0, 18n = 900, and n = 900/18 = 50.
50 trees should be planted per acre to produce the most apples possible
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A 2-pound bag of carrots costs $7.68. What is the price per ounce?
The price of carrots per ounce is $0.24 .
Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.
The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.
Now it is given that a 2-pound bag of carrots cost $7.68 .
Therefore price per pound of carrots=$7.68÷2
Price per pound=$ 3.84 .
Now we know that 16 ounces make up a pound.
Price of carrots per ounce= $3.84 ÷16
Price per ounce= $ 0.24
Therefore the price of carrots per ounce is $0.24
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−4⋅(45)(−1)
What is the product?
answer: 180
first I multiplied -4 with 45, which gave me -180, then I made 180 positive by multiplying it with -1
Use the following items to determine the total assets, total liabilities, net worth, total cash inflows, and total cash outflows.
Rent for the month $ 1,390 Monthly take-home salary $ 3,920
Cash in checking account $ 1,340 Savings account balance $ 2,770
Spending for food $ 1,110 Balance of educational loan $ 3,050
Current value of automobile $ 8,020 Telephone bill paid for month $ 85
Credit card balance $ 334 Loan payment $ 143
Auto insurance $ 321 Household possessions $ 3,510
Stereo equipment $ 3,320 Payment for electricity $ 189
Lunches/parking at work $ 204 Donations $ 116
Home computer $ 2,490 Value of stock investment $ 1,160
Clothing purchase $ 139 Restaurant spending $ 223
An arithmetic sequence is given below.
3, 7, 11, 15,...
Write the explicit formula for the n^th and a'n.
The explicit formula, for the arithmetic sequence 3, 7, 11, 15,... is an = 4n - 1
What does an arithmetic sequence mean?An ordered group of integers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6. An arithmetic progression is another name for an arithmetic sequence.
For the arithmetic sequence,
3, 7, 11, 15,...
a = 3,
d = 7 - 3 = 4
So, an = a + (n - 1)d
an = 3 + (n - 1)4
an = 4n - 1
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Problem 12 how do u do this
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
Let's set up some equations based on the information given:
You purchased a desk for 60% of the original price, p[tex]\hookrightarrow \text{60 percent of p} = \frac{60}{100} *p=0.6p[/tex]
The price that you paid is $32 less than your paid is:[tex]\hookrightarrow \text{'32 less than p'} = p-32[/tex]
Therefore:
[tex]\hookrightarrow \text{You paid '0.6p' or 'p - 32'}[/tex]
[tex]\hookrightarrow \text{The equation is } '0.6p = p-32'[/tex]
[tex]0.6p=p-32\\p-0.6p=32\\0.4p=32\\p = 80[/tex]
Answer:
Equation: 0.6p = p - 32Original Price of desk: $80Hope that helps!
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When Savannah's parents are away celebrating their anniversary, she gets to sleepover for a week at her grandparents' house. Afterwards, Savannah decides to make her grandparents a photo album of their time together. There are 9 pages in the album. Savannah puts the same number of photos on each page, for a total of 63 photos.
Answer:
7 photos on each page
Step-by-step explanation:
63/9 = 7
She puts 7 photos on each page.
Describe what hypothetical data might support the hypothesis. for example, the hypothesis would be supported if we found data that indicated ________.
The hypothesis of extinction by the violence between them does not seem true as this is the common nature of the species to fight and this would not be a reason for their extinction.
What is a hypothetical illustration?
Something that is founded on an assumption or idea is considered hypothetical.A hypothetical plan is one that is predicated on an unlikely event.How should a hypothetical example be written?
The words or abbreviations "for instance," "for example," "i.e." or "e.g." are frequently used after a hypothetical example, albeit the latter two, as you are probably aware, will only come after a comma and won't initiate a new sentence like "for instance" or "for example."
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If you are examining a function over an interval ( a , b ) , for a and b finite, is it possible not to have an absolute maximum or absolute minimum?
Yes, it is not possible to have an absolute maximum or absolute minimum.
Here,
We are examining a function over an interval ( a , b ) , for a and b finite,
We have to find, is it possible not to have an absolute maximum or absolute minimum.
What theorem indicates the existence of absolute maxima or absolute minima of a function?
If f is continuous on a closed interval [a, b] (that is: on a closed and bounded interval), then, the Extreme Value Theorem indicates the existence of an absolute maximum or minimum value of f on the interval [a, b].
Now,
The function is define over an interval (a, b).
Hence, the function is define on open interval.
So, it is not possible to have an absolute maximum or absolute minimum.
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[(2 + 4 × 2) − 5]3.
PLEASE HELP ME AND PLEASE EXPLAIN HOW YOU GOT THE ANSWER
[tex] \large \bf \implies{15}[/tex]
Step-by-step explanation:[tex]\bf \longrightarrow((2 + 4 \times 2) - 5) \times 3[/tex]
Step 1) ; Calculate the product or quotient
[tex]\bf \longrightarrow((2 + 8) - 5) \times 3[/tex]
Step 2) ; Calculate the sum or difference
[tex]\bf \longrightarrow(10 - 5) \times 3[/tex]
Step 3) : Calculate the sum or difference
[tex]\bf \longrightarrow5 \times 3[/tex]
Step 4) : Calculate the product or quotient
[tex]\bf \longrightarrow15[/tex]
If real gdp in a particular year is $80 billion and nominal gdp is $240 billion, the gdp price index for that year is 100. 300. 240. 200.
Answer:
If real GDP in a particular year is $80 billion and nominal GDP is $240 billion, the GDP price index for that year is: 300.
Step-by-step explanation:
Which of the following could be used to
determine the number of hits a player has
during the season?
h = Ab
h=A+b
A.
B.
C. h=
D. h=
A
b
b
A
It was mostly during C . Dry season
The “Cricket Season” is the period of days where cricket is played in a country when the pitches get dry and also this is the period where the domestic matches begin.
And this season varies with countries, in India it starts with the Ranjit Trophy, Sheffield Shield for Australia etc.
Cricket seasons are the times of the year when cricket is played. Because top-class cricket is almost always played outdoors, on uncovered pitches, and rain prevents play, the seasons in each country are geared to coincide with the driest months of the year
The cricket season starts at the beginning of April and finishes at the end of September. As the time zones move around the planet, the seasons will differ in other countries.
In the UK,
professional games have occasionally taken place at the end of March but the season will normally begin at the start of April.
In India
The cricket season in India will usually begin in mid-September. Often, there are senior women’s games starting things off before men’s tournaments commence in October.
In Australia
Cricketers in Australia may start playing in September, especially in the west of the country which gets the warmer weather first.
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The objective of __________ research is to gather preliminary information that will help define the problem and suggest hypotheses.
The objective of Exploratory Research research is to gather preliminary information that will help define the problem and suggest hypotheses.
Exploratory Research is a methodology approach that explores research
question that have not previously been studied in depth.
The nature of experimental studies is generally frequently qualitative. However, an investigation with a big sample size might also be quantitative. Due to its open-mindedness and flexibility, it is additionally commonly referred to as interpretivism or a grounded theory method.
It is commonly employed when the subject you're examining is new, or perhaps the data collection method is challenging in certain way.
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5 times the quanity x increased by seven, minus
4 Cubed
The mathematical expression can be written as [tex]5(x+7)-4^3[/tex]
Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression). Let's use the equation 5x + 7 as an example. Thus, 5x + 7 is an illustration of an algebraic expression.
We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.
The algebraic properties most frequently utilized to simplify algebraic statements are associative, commutative, and distributive.
Here the quantity x is increased by 7 and the sum is multiplied by 5.
so we get 5(x+7).
Now 4 cubed is subtracted from the resulting expression.
Therefore the expression looks like [tex]5(x+7)-4^{3}[/tex] .
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1/5v+gt =a Solve for V
Answer:
v = 5(a - gt) or
v = 5a - 5gt These both mean the same thing
Step-by-step explanation:
1/5 v + gt = a Subtract gt from both sides of the equation.
1/5 v = a - gt Multiply both sides by 5
v = 5(a - gt)
