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2 years ago

The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?

Mathematics

2 answers:

Harrizon [31]2 years ago

7 0

Answer:

C. 6

Step-by-step explanation:

lawyer [7]2 years ago

5 0

Answer:

C. 6

Step-by-step explanation:

<u>Given</u>

S = n² + n
S = 42, n = ?

<u>Substitute and solve for n:</u>

42 = n² + n
n² + 2*1/2n + 1/4 = 42.25
(n + 0.5)² = 42.25
n + 0.5 = √42.25
n + 0.5 = 6.5
n = 6

Correct option is C

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2. Peter, Jeff, and John, each perform subtraction incorrectly as follows:

grandymaker [24]

Answer:

peter: subtraction mistake at unit place . wrote 6 in place of 9

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

Step-by-step explanation:

we have to subtract 503 from 269

4 10 13

503

-269

____

234

Solution

since 3 is less than 9 , we take a carry from 0 but 0 cannot be carries so we take 1 carry from 5\

thus

5 becomes 4, 0 becomes 10,

now 10 can be give 1 carry to 3 at unit place, so 3 becomes 13

now 9 is subtracted from 13

13-4 = 9

this is the mistake of Peter

he has written 6 at unit place which should be

peter: subtraction mistake at unit place . wrote 6 in place of 9

____________________________________________________

since , 1 is carried from 10 at tens place, 9 is left at tens place

so we know subtract 6 from 9 at tens place

9-6 = 3

Here mistake is done by Jeff

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

________________________________________________

at hundred place,

one is taken from 5 , hence 4 is left at hundred place

we have to subtract 2 from 4

4-2 = 2

hence,

Here, mistake done by both both Peter and jeff

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

4 0

3 years ago

HELP PLEASE AND THANK YOU 1JAAB

Dafna1 [17]

Answer:

$\bold{Q1}\ side\ BD\\\\\bold{Q2}\ \angle5\ \leftrightarrow\ \angle6\\\\\bold{Q3}\ \triangle TAP\\\\\bold{Q4}\ \triangle APT$

Step-by-step explanation:

For Q1 and Q2

$\text{If}\ AB\cong AC,\ BD\cong CD,\ RSTU\ \text{is a parallelogram (rectangle)},\ \text{then}\\\\\angle 1\ \leftrightarrow\ \angle2\\\angle3\ \leftrightarrow\ \angle4\\\angle C\leftrightarrow\ \angle B\\\angle 5\ \leftrightarrow\ \angle6\\\angle7\ \leftrightarrow\ \angle 8\\\angle R\ \leftrightarrow\ \angle T\\\angle S\ \leftrightarrow\ \angle U$

$\overline{AB}\ \leftrightarrow\ \overline{AC}\\\overline{BD}\ \leftrightarrow\ \overline{CD}\\\\\overline{RS}\ \leftrightarrow\ \overline{TU}\\\overline{ST}\ \leftrightarrow\ \overline{UR}$

For Q3 and Q4

$O\ \leftrightarrow\ T\\B\ \leftrightarrow\ A\\R\ \leftrightarrow\ P\\\\E\ \leftrightarrow\ X\\F\ \leftrightarrow\ W\\D\ \leftrightarrow\ T$

4 0

3 years ago

Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she gave, but she

DIA [1.3K]

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

Total Questions = 20

Total Points = 28

Correct Answers = +2 points

Incorrect Answers = -1 point

The viewer represents the correct answers with x and the incorrect ones with y.

x+y = 20

for every correct answers 2 points;

and for every incorrect answers, -1 point

This can be written as

2x-y = 28

The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;

now

2x-y = 28

x+y = 20

On adding the equations

]3x = 48

x = 16

y = 4

This means that the contestant answered 16 questions correctly and 4 questions incorrectly

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.

To know more about Equation

brainly.com/question/10413253

#SPJ1

3 0

2 years ago

Determine the range of the function in the table below.

maria [59]

The last one if I'm not mistaking

5 0

3 years ago

Mr. Hawkins is covering a wall with wallpaper. The wall is a rectangle and measures 14 feet by 12 feet. Each square foot of wall

ELEN [110]

Answer:

$487.2

Step-by-step explanation:

you multiply 14 and 12 then you get the answer of 168 and multiply that with $2.90 then you get the answer of $487.2.

3 0

3 years ago

Read 2 more answers