The 100th even natural number is 200
Given the sequence 2, 4, 6, 8, 10....
The nth term of the sequence is expressed as:
Tn = a + (n - 1)d
a is the first term = 2
d is the common difference = 4 - 2 = 6 - 4 = 2
n is the number of terms
Substitute the given parameters into the formula
Tn = 2(n-1)2
Tn = 2+(2n - 2)
Tn = 2n
Get the 100th term
T10= 2(100) = 200
Hence the 100th even natural number is 200
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Answer:
1)
200
2)
10100
3)
less than
Step-by-step explanation:
on god
The recipe for a holiday punch calls for 7 cups of fruit drink and 3 cups of ginger ale.
Suppose you want to make as much punch as you can using all of the fruit drink you
have, which is 32 cups. How many cups of ginger ale would you need?
A)9.1
B)74.7
C)22.9
D)13.7
Answer:
D) 13.7
Step-by-step explanation:
What is 100,000×1,000,000
Answer:
100,000 × 1,000,000 = 1.E11
Answer:
100000000000
Step-by-step explanation:
There is sandwich meat in the refrigerator. There is 2 and 3/4 pounds of roast beef, 1 and 7/8 pounds of turkey, and 2 1/16 pounds of salami.
If you must put 1/4 of a pound of meat on sandwiches, how many whole sandwiches of each type can you make? there is 26 but how much is left
The amount of meat that is to be added to each sandwich is expressed as a fraction of a unit mass of one pound.
First part
Number of roast beef sandwiches are 11 sandwiches.Number of turkey sandwiches are 7 sandwiches.Number of salami sandwiches are 8 sandwiches.Second part
All the roast beef left are usedThe amount of salami left is 0.0625 lb.The amount of turkey left is 0.125 lb.Reasons:
The amount of roast beef = 2 and 3/4 lb
The amount of turkey = 1 and 7/8 pounds
The quantity of salami = 2 1/16 pounds
The amount of meat that goes with a sandwich = 1/4 pounds
[tex]\displaystyle Sandwiches \ with \ roast \ beef = \mathbf{\frac{2 + \frac{3}{4} }{\frac{1}{4} }} = 11[/tex]
The number of roast beef sandwiches that can be made = 11 sandwiches
[tex]\displaystyle Sandwiches \ with \ turkey =\frac{1 + \frac{7}{8} }{\frac{1}{4} } = \mathbf{7.5}[/tex]
The number of turkey sandwiches that can be made = 7 sandwiches
[tex]\displaystyle Sandwiches \ with \ salami = \frac{2 + \frac{1}{16} }{\frac{1}{4} } = \mathbf{8.25}[/tex]
The number of salami sandwiches that can be made = 8 sandwiches
The total number of whole sandwiches = 11 + 7 + 8 = 26
The total number of whole sandwiches that can be made = 26 sandwiches
The amount of each meat left is given by the product of the fraction of a sandwich made by the meat and [tex]\displaystyle \mathbf{\frac{1}{4}}[/tex]
Therefore;
The amount of roast beef left = 0 × [tex]\displaystyle \frac{1}{4}[/tex] = 0
[tex]\displaystyle The \ amount \ of \ turkey \ left = 0.5 \ lb \times \frac{1}{4} = \underline{0.125\ lb}[/tex]
[tex]\displaystyle The \ amount \ of \ salami\ left = 0.25 \ lb \times \frac{1}{4} = \underline{0.0625 \ lb}[/tex]
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100 POINTS!!!!! WILL GIVE BRAINLIEST!!!!!!!
Show that: (a + bi)^2 = (a + b)(a − b) + 2abi
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
The equation ( a + bi )² is simplified as A = ( a + b ) ( a - b ) + 2abi
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = ( a + bi )² be equation (1)
On simplifying the equation , we get
A = ( a )² + ( ib )² + 2iab
Now , the value of i² = -1
A = a² + i²b² + 2iab
Substituting the value of i in the equation , we get
A = a² - b² + 2iab
Now , the value of ( a² - b² ) = ( a + b ) ( a - b )
Substituting the values in the equation , we get
A = ( a + b ) ( a - b ) + 2iab
Therefore , the value of A is ( a + b ) ( a - b ) + 2iab
Hence , the equation is ( a + b ) ( a - b ) + 2abi
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#SPJ2
Please help me with this homework
Answer:
C.
Step-by-step explanation:
Open circles mean < > not ≤ ≥. and the direction the line goes determines which symbol is used. the line goes up from -2 so its greater than -2 and down from 5 so less than 5
Given that a randomly chosen flight arrives in Atlanta (ATL), what is the probability that it arrives on time?
Using the given percentage, it is found that there is a 0.877 = 87.7% probability that it arrives on time.
A probability is the number of desired outcomes divided by the number of total outcomes.Over a large sample, a percentage can be interpreted the same as a probability.In this question, over a large number of flights, 87.7% arrive on time in Atlanta. Hence, there is a 0.877 = 87.7% probability that it arrives on time.
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What are vented rotors? When are they used?
Answer:Vented Brake Rotors are common on most modern vehicles. They have a hollow channel between the inner and outer surfaces. This channel (or vent) allows the rotor to shed more heat. This helps to prevent Brake Fade
Step-by-step explanation:
[tex]\Large\mathtt\color{red}{H}\color{orange}{E}\color{yellow}{L}\color{lime}{P}\color{green}{M}\color{cyan}{E}\color{aquamarine}{!}[/tex]
[tex]\Large\mathtt\color{cyan}{╭──━━━═══════━━━──╮}╭──━━━═══════━━━──╮[/tex]
5400 ÷ 300000
[tex]\Large\mathtt\color{cyan}{╰──━━━═══════━━━──╯}╰──━━━═══════━━━──╯[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{WITH}}}}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{SOLUTION}}}}[/tex]
[tex]\tt\colorbox{blue}{\boxed{\colorbox{red}{ \color{pink}{ \rm{ NONSENSE = REPORT }}}}}[/tex]
Step-by-step explanation:
[tex] \\ {5400} \div 300000[/tex]
[tex] \\ = \frac{5400}{300000} [/tex]
[tex] \\ = \frac{ \cancel{5400}}{ \cancel{300000}} [/tex]
[tex] \\ = \frac{9}{500} [/tex]
[tex] \\ = 0.018[/tex]
Please help me and
explain how you got the answer
Answer:
x = 7°
Step-by-step explanation:
∠WST is an exterior angle of the triangle
The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles
Solve:
(5x - 1) + (57) = (12x + 7)
5x - 1 = 12x - 50
-1 = 7x - 50
49 = 7x
x = 7
-Chetan K
How to solve algebraic inequalities.
Algebraic inequalities can be solved in the same way in which algebraic equations are solved.
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
knife is 3 times cost of spoon
9 spoons and 12 knifes is £82.80
what is 1 knife
Answer:
The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.
Given :
A knife is 3 times the cost of the spoon. 9 spoons and 12 knives costs £82.80.Solution :
This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations". Linear calculations that requires more than one variable can be done with the help of linear equations. The standard form of a linear equation in one variable is ax + b = 0.Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.
[tex]9x + 12 x (3x) = 82.809x + 36x = 82.8045x = 82.80x = 1.84[/tex]
Therefore the cost of 1 knife = 5.52
Step-by-step explanation: [tex]1.84 x 3 = 5.52[/tex]
an angle measuring between 90 and 180 is called__
Answer:
A) obtuse angles
Step-by-step explanation:
Options:
A.obtuse
B.acute
C.straight
D.small
Correcr Answer A) obtuse
(Hope this helps can I pls have brainlist (crown)☺️)
some one please help
Answer:
i can't see the photo
Step-by-step explanation:
pleas send it again
Answer:
Step-by-step explanation:
f(x) = 3-x/5
Explanation:
The inverse of a function completely swaps the x and y values. One way to find the inverse of a function is to switch the "x" and "y" in an equation
y=3x -5
turns into
x = 3y+5
Then solve the equation for y
x=3 y- 5
x+5 = 3y
the divide all by three
1/3x + 5/3 =y
f ( x ) − 1 = 3/1 x + 5/3
you plan to purchase a plane ticket $299.00and you are going to use a discount code to receive 15% off
Answer: The answer is $254.15
for a brainlist +10 points please help
Answer:
C. Two smaller atoms come together to form a larger atom that is a different element.
Explanation:
Fusion is a reaction in which two nuclei combine to form a nucleus with the release of energy.
3+14 multiplied by a number X
Answer:
x(3+14)
Step-by-step explanation:
That is how you would write that expression.
What is the slope of the line?
Answer:
thanks
Step-by-step explanation:
There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. What is the ratio of the children to adults remaining on the ship?
Answer:
379 : 62
Step-by-step explanation:
Let’s gather the info from the problem.
1580 adults and children on a ship.
60% of them are adults.
percentage of adults and students remaining on the ship decreases by 20%
60% of 1580 is 948 so there are 948 adults onboard
leaving the remaining children which is 632
948 Adults
632 Children
Adults decreases by 20% so 758 adults
Children decreases by 20% so 124 children
the ratio is 758:124 simplified would be 379 : 62
Ill reward you a bounty of 100 points! plus brainiest if you are the first one to answer my question:
Part 1
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.
Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.
Part 2
Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing.
Part 3
Solve the question that you posed in Part 1. Show all of your steps in answering the question.
For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps.
*Please note that your instructor is looking for your own original idea. While it is acceptable to use the Internet for research and inspiration, academic integrity policies apply.
Answer:
The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht
Recall:
Pythagorean Theorem applies to a right triangle where and c is the hypotenuse.
If we know the two of the three side lengths of a right triangle, we can find the other third length.
An example of a scenario where the Pythagorean Theorem can be applied to solve a real-world problem can be sketch in a diagram
Therefore:
The real-world scenario is given as: A yacht traveling 20 miles due east off a harbor is located 50 miles due north from the yacht
Step-by-step explanation:
#Nova
Have a good day
40 is a multiple of with number . 6,11,8,15
Answer: 8
Step-by-step explanation: 8 * 5 = 40
The rest don't work.
Would appreciate brainliest <3
Answer:
8
Step-by-step explanation:
You can do 8 *5
So I finished the graph, But I need help making the table please help whoever answers correctly, I will mark brainliest 10. Cornett Cable charges $32.50 a month for basic cable television. Each preminium channel selected costs an additional $4.95 per month. b. Make a table to show the monthly cost for 0,1,2,3, and 4 premium channels. Then graph the ordered pairs this is the last thing then I'll stop Also, no links please
Answer:
Here it is. The table is on the first one at the bottom.
Step-by-step explanation:
An art club sells 42 large candles and 56 small candles.
a. Use the Distributive Property to write and simplify an expression for the profit.
expression for the total profit:
_(_-x) + (_-y)
simplified expression for the total profit:
b. A large candle costs $5, and a small candle costs $3. What is the club’s profit?
club's profit: $
Answer:
(700-42-56)
Step-by-step explanation:
10-x
5-y
4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y
the acceleration in centimeters per second of a projectile is modeled by
Answer:
The Acceleration, In Centimeters Per Second Per Second, Of A Projectile Is Modeled By A (T) = 21" - 156 + 36, Where T Is Measured in seconds
what is -3 (x+2) = 16 -x
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
-3(x + 2) = 16 - x
Step 2: Solve for x
[Distributive Property] Distribute -3: -3x - 6 = 16 - x[Addition Property of Equality] Add x on both sides: -2x - 6 = 16[Addition Property of Equality] Add 6 on both sides: -2x = 22[Division Property of Equality] Divide -2 on both sides: x = -11Hey y’all I don’t understand, can you help me pls ASAP and show steps if u could
Answer:
(x, y) = (-2, -6)
Step-by-step explanation:
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When using a(n) _____ join, only rows from the tables that match on a common value are returned.
When you using an Inner Join, rows from table that match a common value are the only ones returned.
In SQL server, of we can create a new table by combining rows that have values that match in two or more tables by using an inner join clause.
Logically, this is used to retrieve data from tables that have a common field or appears to have data in both tables.
The diagram below shows the data retrieved using Inner Join in SQL Server which is represented by the part in black.
Therefore, when you using an Inner Join, rows from table that match a common value are the only ones returned.Learn more about Inner Join on:
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which ratios do not form a proportion.
A. 24/96,27/108
B. 17/102,27/108
C. 21/51,35/85
D. 45/75,63/105
Answer:
B. 17/102,27/108 do not for proportion
Graph F(x)=x^2+4 to its function
Answer:
x2-4
Step-by-step explanation:
got it right
If RS=x+5 and HJ + Lk = 4x+6, find RS