The conjecture of the pattern - 3, 6, - 9, 12 is all the set of series generated by the expression s = (- 1)ⁿ · 3 · n.
What is the conjecture behind a pattern of an arithmetic sequence?
In this problem we have a sequence with a pattern, which has to be translated into mathematical expressions. We notice two features of this sequence:
The elements of the sequence are multiples of 3.Two consecutive elements have signs opposite to each other.Then, the pattern can be generated by using the following expression:
s = (- 1)ⁿ · 3 · n
Now we check if the pattern is the same as the shown in the question:
n = 1
s = (- 1)¹ · 3 · 1
s = - 3
n = 2
s = (- 1)² · 3 · 2
s = 6
n = 3
s = (- 1)³ · 3 · 3
s = - 9
n = 4
s = (- 1)⁴ · 3 · 4
s = 12
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53/2 = 18/x round to the nearest tenth where necessary
The solution to the given equation round to the nearest tenth as required in the task content is; 0.7.
What is the solution to the given equation as in the task content?According to the task content, the solution to the equation given is to be determined round to the nearest tenth.
On this note, the equation can be solved as follows;
53/2 = 18/x
By cross-multiplication; we have;
53 × x = 2 × 18
53x = 36
x = 36/53
x = 0.679
However, when round to the nearest tenth, x = 0.7.
Ultimately, The solution to the given equation round to the nearest tenth as required in the task content is; 0.7.
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Would really appreciate help on this statistics problem, 20 points :)
Answer:
Step-by-step explanation:jed
Question 5:
Write each of the following numbers correct to 3 significant figures.
a) 37412
b) 84563
c) 261.42
d) 0.3684
e) 0.002615
f) 0.0025713
Following are the numbers correct to 3 significant figures
Answers to the following questions:
(1) Round to the needed significant figure: 37400;
(2) Round to the required significant figure: 84600;
(3) Round to the required significant figure: 261;
(4) Round to the needed significant figure: 0.00262
(5) Round to the required significant figure: 0.368
(6), round to the needed significant figure: 0.00257
What is meant by correct to significant figures?
The most significant number in the number is rounded up. Check the first non-zero digit if you want to round to one significant figure while doing so. If rounding to two significant numbers, have a look at the digit that comes after the first non-zero digit.
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Simplify this equation
Answer:
23
Step-by-step explanation:
9 + 2(4 + 3)
9 + ((2 * 4) + (2 * 3))
9 + (8 + 6)
9 + 14
23
Step-by-step explanation:
Calculate within parentheses (4+3) : 7
[tex]=9+2\cdot \:7[/tex]
Multiply and divide (left to right) 2 . 7 : 14
[tex]=9+14[/tex]
Add and subtract (left to right) 9 + 14: 23
ANSWER: [tex]=23[/tex]
Explanation in words (Short Form)
- The first step is to calculate within parentheses and the answer will result as 23
- The second step is to add and subtract so 9+14 = 23.
- The third step is to find the answer which is 23
Answer:
23
Hope this helps.
Which of the following best describes a best efforts underwriting commitment? Review Later The underwriter agrees to buy the entire issue and assume full financial responsibility for any unsold shares. If the entire issue cannot be sold at the offering price, the deal is called off and the issuing company receives nothing. Underwriter commits to selling as much of the issue as possible at the agreed-on offering price but can return any unsold shares to the issuer without financial responsibility. Underwriter is only responsible for half (50%) of the issue.
The best description of a best efforts underwriting commitment is Underwriter commits to selling as much of the issue as possible at the agreed-on offering price but can return any unsold shares to the issuer without financial responsibility.
What is a best efforts underwriting commitment?In a best efforts underwriting commitment, the Underwriter will make a commitment by which they promise to sell as much as they can of a company's stock at a price that is best.
This price would have been agreed between the underwriter and the company.
However, if the stock issue is not sold entirely and there are unsold shares, then these unsold shares are returned to the issuer with no financial responsibility for the underwriter.
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how many thousands multiplied by 3 will fit into 6912
2304 times 3 goes into 6912 and gives the remainder as 0.
The numerator number in the given division number 6912 by 3 is known as a dividend, and the denominator number is known as a divisor. As a result, 6912 is the dividend number and 3 is the divisor number.
Division is one of the four fundamental mathematical operations, along with addition, subtraction, and multiplication. Division is defined as the splitting of a large group into smaller groups so that each group has an equal number of items. In mathematics, it is an operation used for equal grouping and equal sharing.
Division is a basic arithmetic operation in which a larger number is divided into smaller groups with the same number of items. For example, how many total groups will be formed if 30 students must be divided into groups of 5 students for a sporting event? Such problems are easily solved by using the division operation. Here, we must divide 30 by 5. 30 5 = 6 will be the result. As a result, there will be six groups of five students each.
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what are 3 budget planning tips
The three budget planning tips can be , to be aware of your net income , listing your monthly expenses and making adjustments.
What is a budget ?
A budget is an estimation of revenue and expenses over a specified future period of time.
We know that budgets can be created for an individual, a team of individuals, a business, a government, or pretty much anything else that generates and spends money.
The 3 budget planning tips can be as follows.
1.
First tip is to be aware of your net income. Finding out how much money you have coming in is the first step in making a budget. Setting up a budget is a crucial part of managing your finances and spending patterns. So , you must figure out how much money you are spending in order to develop a budget.
2.
Second tips can be to list your monthly expenses. The monthly expenses can be many such as rent payments , loan payments , insurances and utilities.
3.
Making adjustments is a third planning suggestion. You just compare your monthly expenses and net income. You'll need to alter your spending if you find that your expenses exceeds your income.
Therefore , the three budget planning tips can be , to be aware of your net income , listing your monthly expenses and making adjustments.
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CUTICLE
How many boys are there in an introductory geology course if 392 students are enrolled and there are five boys to every three girls?
Answer
How to enter your answer (opens in new window)
The number of girls is 147 and the number of boys is 245 in the introductory geology course
Students enrolled in the introductory geology course = 392 students
The ratio of boys to girls in the course = 5:3
Let the number of girls in the course be x, then the number of boys will be 392-x
Formulating the equation we get:
Number of boys/Number of girls = Ratio of boys/Ratio of girls
= 392-x/x = 5/3
= (392-x)*3 = 5x
= 1176-3x = 5x
=1176 = 8x
x = 147
Hence, the number of girls is 147 and the number of boys is 245
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The Vasquez family visit their grandmother every three weeks and host a neighborhood party every eight weeks. Every 16 week, the Vazquez family takes a day to go hiking. After how many weeks will the Vasquez family both visit their grandmother and host the neighborhood party? After how many weeks will all three events occur?
The number of weeks whwn the Vasquez family both visit their grandmother and host the neighborhood party is 24 weeks.
The weeks will all three events occur is 48 weeks.
How to calculate the value?From the information, the Vasquez family visit their grandmother every three weeks and host a neighborhood party every eight weeks.
Therefore, this situation is just to find the least common factor of 3 and 8. This is 24
Therefore, the number of weeks whwn the Vasquez family both visit their grandmother and host the neighborhood party is 24 weeks.
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The slope of the line that passing through (4,-3)and(8,6)
so does someone help me
Step-by-step explanation:
this is an exercise to take the logical definition of an operation and apply it.
we have first a triangle operation that simply stands for the sum of the 3 included values divided by 3.
in other words, FYI, it creates the mean value of 3 given numbers.
so, we need to calculate
mean value (7, 4, 4) + mean value (8, 2, 11).
(7 + 4 + 4)/3 + (8 + 2 + 11)/3 = 15/3 + 21/3 = 36/3 = 12
the second calculation is based on a table defining a new operation Delta :
2 Delta 2 = 20
2 Delta 5 = 5
2 Delta 3 = 5
5 Delta 2 = 3
5 Delta 5 = 10
5 Delta 3 = 23
3 Delta 2 = 3
3 Delta 5 = 2
3 Delta 3 = 50
so, now we need to use this to calculate
(5 Delta 2) Delta (2 Delta 3)
3 Delta 5
2
the result is 2.
In the following statement, express the first number as a percentage of the second number.
The full-time year-round median salary for U.S. men in 2010 was $42,200, and the full-time year-round salary for U.S.
women in 2010 was $35,700.
Step-by-step explanation:
the first number as percentage of the second number.
that means the second number is 100%
100% = 35,700
1% = 100%/100 = 35,700/100 = 357
how many % are 42,200 ?
we find out by checking how often 1% fits in :
42,200/357 = 118.2072829...%
$42,200 is 118.2072829...% of $35,700
Find the distance between the two points in simplest radical form.
(8, -4) and (3, 8)
Answer:
13
Step-by-step explanation:
[tex] \sqrt{ {(8 - 3)}^{2} + {( - 4 - 8)}^{2} } [/tex]
[tex] \sqrt{ {5}^{2} + {( - 12)}^{2} } [/tex]
[tex] \sqrt{25 + 144} = \sqrt{169} = 13[/tex]
Find the vertical asymptote(s) of f(x)=\frac{\left(x^{2}+3x+6\right)}{x^{2}-4}
x = −1, 2
x = −2, 2
x = 1, −2
x = −1, 1
Answer:
x = −2, 2
Step-by-step explanation:
[tex]f(x)=\frac{\left(x^{2}+3x+6\right)}{x^{2}-4}[/tex]
Find the horizontal asymptotes by comparing the degrees of the numerator and denominator.
Vertical Asymptotes:
x=−2,2Horizontal Asymptotes:
y=1
No Oblique Asymptotes
Full Explanation
The line x=L is a vertical asymptote of the function [tex] y=\frac{x^{2} + 3 x + 6}{x^{2} - 4}[/tex] if the limit of the function (one-sided) at this point is infinite.
In other words, it means that possible points are points where the denominator equals 0 or doesn't exist.
So, find the points where the denominator equals 0 and check them.
x=−2, check: [tex] \lim_{x \to -2^+}\left(\frac{x^{2} + 3 x + 6}{x^{2} - 4}\right)=-\infty [/tex]
Since the limit is infinite, then x=−2 is a vertical asymptote.
x=2, check: [tex]\lim_{x \to 2^+}\left(\frac{x^{2} + 3 x + 6}{x^{2} - 4}\right)=\infty[/tex]
Since the limit is infinite, then x=2 is a vertical asymptote.
Vertical asymptotes: x=−2; x=2
PLEASE HELP WILL MAKE BRIANLIEST
Answer:
She scored 12
therefor she did pass
Step-by-step explanation:
Light travels at a speed of 299,792 kilometers per second. What is the speed of light, in miles per minute? (Round your answer to the nearest thousand) Note: There are 1.609 kilometers in a mile.
Answer:
11,179,000 mi/min
Step-by-step explanation:
You want the given speed of light expressed in miles per minute.
Units conversionTo convert the speed from km/s to mi/min, we need to multiply by factors of s/min and mi/km.
[tex]\dfrac{299792\text{ km}}{\text{s}}\times\dfrac{60\text{ s}}{\text{min}}\times\dfrac{1\text{ mi}}{1.609\text{ km}}=\dfrac{299792\cdot 60}{1.609}\,\dfrac{\text{mi}}{\text{min}}\\\\\approx\boxed{11,\!179,\!000\text{ mi/min}}[/tex]
How do you find existence of inverse?
[tex]{\huge\color{black}{\boxed{\fcolorbox{green}{red}{꧁ANSWER꧂}}}}[/tex]
Existence of an Inverse
There are two numbers that f takes to 4, f(2) = 4 and f(-2) = 4. If f had an inverse, then the fact that f(2) = 4 would imply that the inverse of f takes 4 back to 2. On the other hand, since f(-2) = 4, the inverse of f would have to take 4 to -2.
Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation
relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x?
Oy=4+x
The equation that relates the total amount of gasoline in the tank is;
y = x + 4.
What is defined as the linear equation?A linear equation is just an algebraic equation with only a constant and the first-order (linear) term of the form y=mx+b, for which m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of 2 factors," in which y and x are the variables.Although they can, it is often easier and faster to use a computational method to arrive at a numerical answer. The actual power of equations is they offer a very unique way to describe many different functions in the world.For the given question;
The amount of gasoline already present in tank is 4 gallons.
The number of gallons filled above the the previous gasoline is x.
Thus, now the total gasoline present in this tank is x + 4.
If y shows the total gasoline in tank;
Then,
y = x + 4.
Therefore, the total amount of gasoline present in tank is given by equation is; y = x + 4.
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Which of the following graphs best represents the solution to the pair of equations below? y = x + 1 y = −x − 1 A coordinate plane is shown with two lines graphed. One line passes through the y axis at 1 and the x axis at 1. The other line passes through the y axis at 1 and the x axis at negative 1. The lines intersect at 0 comma 1. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 1 and the x axis at negative 1. The other line passes through the y axis at negative 1 and the x axis at negative 1. The lies intersect at negative 1 and 0. A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 1 and the x axis at negative 1. The other line passes through the y axis at negative 1 and the x axis at 1. The lines intersect at 0 comma negative 1. A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 1 and the x axis at 1. The other line passes through the y axis at 1 and the x axis at 1. The lines intersect at 1 comma 0.
The graph that best describes the equations y = x + 1 y = −x − 1 is: A coordinate plane is shown with two lines graphed. One line passes through the y axis at 1 and the x axis at negative 1. The other line passes through the y axis at negative 1 and the x axis at negative 1. The lies intersect at negative 1 and 0.
What is a graph?A graph is a pictorial representation of data used in several disciplines. Graphs makes it easier to understand how a particular data relates with the other.
There many types of graphs, the type used here is the that of a straight line. The graph would have to cut through based on the signs that it has in the equation. That is if it is negative or positive.
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Which expressions are equal to 0 when x=-1? Check all that apply.
4(x + 1)
(4x + 5)
4(x - 1)
(5-4x)
4(x-(-1))
(4x + 5)
4 (x + (-1))
(4x + 5)
O4(x + 1)
(5 - 4x)
Two planes, which are 2670 miles apart, fly toward each other. Their speeds differ by 90mph. If they pass each other in 3 hours, what is the speed of each?
400mph and 490mph
The speed of the fast plane is 490 mph while the speed of the slow plane is 400 mph
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the speed of the fast plane and y represent the speed of the slow plane.
Their speeds differ by 90mph, hence:
x - y = 90 (1)
The planes meet after 3 hours, hence:
3x + 3y = 2670 (2)
From both equations:
x = 490, y = 400
The speed of the fast plane is 490 mph while the speed of the slow plane is 400 mph
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What does this statement print?
System.out. printIn("bc" + 2 + 3)
The print statement System.out. printIn("bc" + 2 + 3) would print "bc23"
How to determine the output of the print statement?The statement is given as
System.out. printIn("bc" + 2 + 3)
The above statement is a Java print statement
The expressions in the print bracket would be treated as strings.
This is so because of the first statement "bc"
So, the statements would be concatenated
Hence, the print statement System.out. printIn("bc" + 2 + 3) would print "bc23"
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solve x- 9y =20 for y
Use the diagram to find the angle measures that satisfy each case. Find the measures of all 4 angles if m<2-m<1=30 degrees
The measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105
How to use the diagram to find the angle measures that satisfy each case?The diagram that completes the question is added as an attachment
From the diagram, we have
<1 + <2 = 180 degrees --- supplementary angles
Given that
<2 - <1 = 30 degrees
Add the above equations
So, we have
2<2 = 210
Divide both sides by 2
<2 = 105
Substitute <2 = 105 in <2 - <1 = 30
So, we have
105 - <1 = 30
Evaluate
<1 = 85
Also, we have
<3 = <1
<4 = <2
This means that
<3 = 85
<4 = 105
Hence, the measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105
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What is the value of the expression below when w=4w=4? 9w-10 9w−10
Answer:
26
Step-by-step explanation:
The value equals 26
9 × 4 = 36
36 - 10 = 26
-3(x+n)=x please help me
Answer:
x=− 3n/4
Step-by-step explanation:
Can someone help with the reason? The first one is given, after that- I have no clue.
Answer:
5x = 8(x - 3)
5x = 8x - 24 → Expand the brackets
-3x = -24 → Collect like terms ,which simply means that you'll transfer 8x to the other side , which will make it -8x
x = 8 → Divide both sides by the coefficient of x (3) : minus cancels minus; then 24 ÷ 3 = 8.
5th grade math question:
Marissa averages 6.053 points per game. What are some different ways you could decompose this decimal number?
Six and fifty-three thousandths
I'm sure
Translate the following into a math expression:
three more than twelve times a number
A: (x+3) 12
B: x/3+12
C: 12x+3
D: 3x/12
Answer ANSWER (x+3) 12
Step-by-step explanation:
Opposites
For problems 12-14, describe the similarities and differences between the expressions.
12. -3 and -(3)
13. -1(7) and -(7)
14. -2(4) and -(2•4)
The similarities between the expressions in all the three problems is that after opening brackets both of the expressions are the same.
How to check if two expressions are similar?Two expressions are similar if their values after solving are equal.
12. -3 and -(3)
Here, when we open the bracket for -(3), we obtain -3 which is the same as the first expression.
13. -1(7) and -(7)
Solving for the first expression, we get -1×7 = -7 and
-(7) = -7.
We can see that both expressions are similar.
14. -2(4) and -(2•4)
Solving -2(4), we get -2×4 = -8
And, -(2·4) = -(8) which is the same as -8
Hence, both expressions are similar.
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