how to find the sum of 2+4+6....+40?
Answers
a, is the first term. d is difference.
Since this is an arithmetic progression, I use this formula.
Un = nth term
Sn = sum of terms.
First find the number of terms, which is 20.
Then use the second formula to find the sum.
Related Questions
Identify the number that does not belong with the other three. Explain your reasoning. -[tex] \frac{10}{2} [/tex], -13.4, [tex] \sqrt{18} [/tex], 22.7
Answers
Which of the following compensation options helps pay for premiums that cover medical expenses?
A.
Cafeteria plan
B.
401(k)
C.
Life insurance
D.
Health insurance
Answers
Answer: Option 'D' is correct.
Step-by-step explanation:
Health insurance is an insurance that covers the risk of a person incurring medical expenses, for this TPA is hired to verify and collect the medical bills regarding the medical expenses .On the other hand, Life Insurance covers the risk of death of a person and after the sum insured goes to the Nominee.
Whereas, Cafeteria plan is a reimbursement plan done by employees to contribute their gross income in a designated accounts.
Hence, Option 'D' is correct.
When 75% of a number is added to 6, the result is 3 more than the number. find the number?
Answers
let : x this the number
(75/100)x +6 = x+3
(3/4)x - x = 3 -6
(-1/4)x = -3
x = 12
To find the number in question, an equation is set up and solved, resulting in the number 12, which satisfies the given conditions where 75% of the number added to 6 equals 3 more than the number itself.
The question asks to find a number such that when 75% of it is added to 6, the result is 3 more than the number itself. To find this number, we can set up an equation: Let the number be represented by x. So, we have 0.75x + 6 = x + 3. To solve for x, we subtract 0.75x from both sides of the equation to get 6 = 0.25x + 3. Next, we subtract 3 from both sides to get 3 = 0.25x. Finally, dividing both sides by 0.25 gives us x = 12. Therefore, the number we are looking for is 12
Find the perimeter of quadrilateral pqrs with the vertices p(2 4) q(2 3) answer
Answers
Although this problem can be solved easily if given the figure, we can simply imagine to solve this. We see that we are given two points of the quadrilateral which are (2, 4) and (2, 3). This means that from P to Q, there is only a distance of 1. Since a quadrilateral has 4 equal sides therefore the perimeter is 4 units.
Answer:
4 units
What equation could be used to solve this problem?
The sum of two consecutive integers is 141. Find the integers.
Answers
The equation for two consecutive integers is:
x + (x+1) = y
Now, lets plug in the information we know:
x + (x+1) = 141
Even though the question asks for the equation, I'm going to solve anyway :)
2x + 1 = 141
2x = 140
x = 70
70,71
Hope this helps!
45 decrease by twice a number
Answers
"45 decreased by"
This shows that we are going to be subtracting 45 by something.
45-
"twice a number"
The "twice" implies that it is going to be 2 multiplied by something, and "a number" represents our variable, n.
45-2n
Using the logic above, we can see the equation to represent this phrase is 45-2n.
Find three consecutive even integers such that 4 times the third integer is 4 more than the 3 times the first integer plus two times the second integer.
Answers
4(n + 4) = 3n + 2(n + 2) + 4
4n + 16 = 5n + 8
8 = n
so three integers are 8,10 and 12.
Which statement is true about the domain of y = 3(2^-x)? Explain.
The domain is all real numbers greater than or equal to 2.
The domain is all real numbers greater than 0
The domain is all real numbers
The domain is all real numbers less than 0
Answers
any function of the form [tex]y=f(x)=a \cdot b^x[/tex] is called an "exponential function",
the only condition is that b is positive and different from 1, and a is a nonzero real number.
The domain of such functions is all real numbers.
That is for any x, the expression 3(2^-x) "makes sense".
Answer: The domain is all real numbers
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. The domain of the function y = 3(2^-x) is all real numbers, as there are no restrictions on x from the form of the function itself.
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. This is because for the function given, there are no restrictions on the values that x can take. The base of the exponent, 2, is positive and since exponents can take any real number, negative or positive, there is nothing to prevent any real x from being used as an input. Furthermore, since the function does not contain any terms that would result in undefined operations, such as division by zero or negative numbers under an even root, the domain remains unrestricted.
N the metric system, how many microseconds are needed to make one second?
Answers
Find the root that is a real number. rootindex 4 startroot 4096 endroot
Answers
Answer: 8
Step-by-step explanation:[tex]\sqrt[4]{4096}[/tex]
We need to factor this, so
[tex]4096|2\\2048|2\\1024|2\\512|2\\256|2\\128|2\\64|2\\32|2\\16|2\\8|2\\4|2\\2|2\\1[/tex]
[tex]4096 = 2^{12}[/tex]
We have to remember that [tex]x^{n+m}=x^{n}.x^{m}[/tex]
This way, we have [tex]\sqrt[4]{4096}=\sqrt[4]{2^{12}} = \sqrt[4]{2^{4}.2^{4}.2^{4}} = 2.2.2=8[/tex]
what is 48% of 576? round the answer to the nearest hundredth
Answers
48/100 = 0.48
Then you multiply the number by the multiplier:
576*0.48 = 276.48
Hope this helps! :)
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, e(y) = ?0 + ?1x, is known as
Answers
Simply put, the independent variable is the input variable, most often x. The dependent variable, or output variable, is the one for which the equation must be evaluated for a given x, is usually a y. In function notation, we swap out y for f(x).
The area of a square living room is 256 ft2. Which is the length of the room?
Answers
If a cube shaped cell is 3 units tall by 3 units wide and 3 units long, what is the volume of the cell?
Answers
The volume of the cube is 27 cubic units.
Volume = side length × side length × side length
Given:
the side length of the cube is 3 units,
we can calculate the volume as follows:
Side length = 3 units
Volume = 3 units × 3 units × 3 units
= 27 cubic units
So, the volume of the cube-shaped cell is 27 cubic units.
What is the fraction 3/2 squared in fraction form?
Please help
Answers
Fraction 3/2 squared in fraction form is 9/4.
What is Fraction?A fraction represents a part of a whole.
Given,
The fraction is 3/2
In the given fraction the numerator is three and denominator is 2
Three by two which is a improper fraction
We have to square 3/2
Three by Two whole square
(3/2)²
Three square by two square
3²/2²
Nine by four
9/4
Hence fraction 3/2 squared in fraction form is 9/4.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ3
Use the distributive property to simplify the expression ( y − 9 ) ( 10)
Answers
10(y-9)= 10*y + 10*-9
10*y=10y
10*-9= -90
Final answer: 10y-90
Solve the system of equations. y =9x y =2x + 63
Answers
y=9x+8
From (1),
x= (y-7)/2
Substituting value of x in eqn (2) we get,
y= 9.(y-7)/2 + 8
y=2x+63
subsitute 9x for y
9x=2x+63
minus 2x from both sides
9x-2x=2x-2x+63
7x+0=63
7x=63
divide both sides by 7
7x/7=63/7
(7/7)x=9
(1)x=9
x=9
sub back to find y
y=9x
y=9(9)
y=81
(x,y)
(9,81)
the solution is (9,81)
2^x=3^x+1 what are the exact approximate solutions
Answers
Answer:
The exact approximate solution is x=-3.
Step-by-step explanation:
Given : Expression [tex]2^x=3^{x+1}[/tex]
To find : What are the exact approximate solutions?
Solution :
Step 1 - Write the expression
[tex]2^x=3^{x+1}[/tex]
Step 2 - Taking log both side,
[tex]\log(2^x)=\log(3^{x+1})[/tex]
Step 3 - Applying logarithmic property, [tex]\log a^x=x\log a[/tex]
[tex]x\log(2)=(x+1)\log(3)[/tex]
Step 4 - Solve
[tex]x(\log(2)-\log(3))=\log(3)[/tex]
[tex]x=\frac{\log(3)}{(\log(2)-\log(3))}[/tex]
[tex]x=\frac{\log(3)}{\log(\frac{2}{3})}[/tex]
[tex]x=\frac{0.477}{-0.176}[/tex]
[tex]x=-2.710\approx -3[/tex]
Therefore, The exact approximate solution is x=-3.
Answer:
D edge
Step-by-step explanation:
Suppose the ram for a certain computer has 256m words, where each word is 16 bits
Answers
What times what equals 75
Answers
Mike and his friend were playing 2 on 2 at the public court. They were using a homemade basketball and the volume of the ball was 288p. A regulation basketball has a circumference between 29.5-30 in. Can this ball be used in a regulation basketball game?
Answers
288 pi = (4/3)pi r^3
r^3 = 288 / (4/3) = 216
r = 6 ins.
Circumference of the ball = 2 pi r = 2*pi*6 = 37.70 in so this ball cannot be used in a regulation game of basketball.
Find an expression in simplest form for the verbal description. The sum of the cost of dinner d and a $27 tip divided equally between 3 people
Answers
Final answer:
The expression for the cost of dinner plus $27 tip divided by three people is (d + 27) / 3.
Explanation:
To find an expression for the given verbal description, first write the sum of the cost of dinner d and a $27 tip. This sum is represented by the expression d + 27. Then, to divide this sum equally among 3 people, you divide the entire expression by 3. The final expression in simplest form would be (d + 27) / 3.
Suppose you have 2 1/2 cups of ice cream. If a serving consists of 1/2 of a cup, how many servings do you have?
Question 1 options:
4
5
6
7
Answers
1/2 cup + 1/2 cup = 1 cup
so four 1/2 cups = 2 cups
so five 1/2 cup servings = 2 1/2 cups
answer is 5
Which value is equivalent to
Select one:
a. 64 over 49
b. 8 over 49
c. 16 over 7
d. 512 over 7
Answers
After observing this pattern, Hideko made a conjecture for the next shape in the pattern. Five circles in a row. Each circle is divided into 4 equal-sized sectors. In the first circle, the top left sector is shaded. In the second circle, the bottom left sector is shaded. In the third circle, the bottom right sector is shaded. In the fourth circle, the top right sector is shaded. In the fifth circle, the top left sector is shaded. Which shape was most likely her conjecture for the next shape?
Answers
The left bottom sector will be the next shape that is going to be shaded.
Given that,
Five circles in a row. Each circle is divided into 4 equal-sized sectors.
In the first circle, the top left sector is shaded.
In the second circle, the bottom left sector is shaded.
In the third circle, the bottom right sector is shaded.
In the fourth circle, the top right sector is shaded.
In the fifth circle, t the bottom right sectoris shaded.
Which shape was most likely her conjecture for the next shape is to be determined.
What is the fraction?
Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Let assign a number of shading to the various sector of the circle,
1 = the top left sector
2 = the bottom left sector
3 = the bottom right sector
4 = the bottom right sector
Now,
Series of shading the sector of a circle,
1, 2, 3, 4, 3, 2,1
We need to find what is the 6th conjecture
at 6th = 2
2 = the bottom left sector
Thus, the left bottom sector will be the next shape that is going to be shaded.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
true or false, If points F and G are contained in a plane, then FG is entirely contained in that plane
Answers
If you join any two points on the plane, then the line would also be within the plane.
Answer: TRUE
Daniel income tax rate is 15% if he made 32,000 this year what will his pay be in taxes this year
Answers
Daniel will pay $4,800 in taxes for the year by applying a 15% tax rate to his $32,000 income.
Explanation:To calculate the amount of income tax Daniel will pay on his $32,000 income, we will apply the 15% tax rate that corresponds to the income bracket provided in the reference material. Here's how the calculation is done:
First, identify the total income: $32,000.Next, multiply the total income by the tax rate: $32,000 * 15% (or 0.15).The calculation will be: $32,000 * 0.15 = $4,800.Therefore, Daniel will pay $4,800 in taxes for the year.
In a recent year there were about 400,000,000 mobile internet users. That same year, there were about 1.2* into 10 ninths desktop internet users. About how many time larger was the number of desktop internet users than the number of mobile internet users?
Answers
Final answer:
The number of desktop internet users is 3 times larger than the number of mobile internet users.
Explanation:
To find out how many times larger the number of desktop internet users is compared to mobile internet users, we need to perform a division. We divide the number of desktop internet users by the number of mobile internet users.
The number of desktop internet users is represented as 1.2 x 109. To simplify this number, we can write it as 1,200,000,000. The number of mobile internet users is 400,000,000.
Now, we divide the number of desktop internet users by the number of mobile internet users:
1,200,000,000 / 400,000,000 = 3
Therefore, the number of desktop internet users is 3 times larger than the number of mobile internet users.
Dennis cutting 4.7 foot length of twine from a 240 foot spool of twine he needs to cut 42 lenghts and says that 45 feet of twine will remain. Show that this is reasonable
Answers
This year your brother jack will be 2 years from being twice as old as your sister jen. the sum of jack’s age and three times jen’s age is 66. how old is jen?
Answers
age of jack two years later = 2x
total age of jack and jen now = 2x + x - 2 - 2
= 3x - 4
3x - 4 = 66
3x = 70
x = 70/3
= 23.3 (to three significant figures)
age of jen now = x - 2
= 23.3 - 2
= 21.3
Jen is 21.3 years old now.