Ask question

Ask question

All categories

3 years ago

6

Look at the table. Make a conjecture about the sum of the first 10 positive even numbers.

2 answers:

Kazeer [188]3 years ago

7 0

Answer:

The sum of the first 10 positive even numbers is $10\times 11=110$

Step-by-step explanation:

From the table, we see that,

Sum of the numbers $2+4+6+8+10=30=5\times 6=5(5+1)$

That is, when there are 5 terms in the sequence, the sum is given by $5\times 6$ .

Then, in general, when there are 'n' terms in the sequence, the sum is given by $n(n+1)$

We are required to find the sum of 10 even terms.

Therefore, when there are 10 terms in the sequence, the sum will be $10(10+1)=10\times 11$

<h3>Hence, the sum of the first 10 positive even numbers is $10\times 11=110$ </h3>

inysia [295]3 years ago

6 0

The answer is 10•11, if you look at the pattern, you don't have to solve the addition.

You might be interested in

Minnesota Public Radio wants to duplicate a survey conducted in 2016 that found that 65% of adults living in Minnesota felt that

vesna_86 [32]

Answer:

The number of people needed is $n =684$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.65$

The margin of error is $E = 0.03$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the sample size is mathematically represented as

$n =[ \frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * p(1-p)$

=> $n =[ \frac{1.645 }{0.03} ]^2 * 0.65(1-0.65)$

=> $n =684$

6 0

3 years ago

A teacher is four time as old as a student .in 20 years, the student 's age will be half of the teacher 's age. How old are they

notka56 [123]

Let the present age of student be x
Present of teacher will be 4x

After 20 years,
Age of student = x + 20
Age of teacher = 4x + 20

According to the given condition after 20 years,
x + 20 = (4x + 20)/2
x + 20 = 2x + 10
2x - x = 20 - 10
x = 10

So student's present age is 10 years while teacher's is 4 x 10 i.e 40 years.

Hope This Helps You!

5 0

3 years ago

A triangle has an area of 55 cm² and a base of 10 cm². What is the height? please help!!!!!!!!!!

AlekseyPX

Answer:

11cm2

Step-by-step explanation:

11cm2x10cm2/2 = 55cm2

3 0

3 years ago

If triangle ABC defined by the coordinates A(1,1), B(9,1), C(1,9) is dilated by a scale factor of 1/2

alukav5142 [94]

Answer:

The transformed points of the triangle ABC are $A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)$ , $B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)$ , $C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)$

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

$A' (x,y) = \frac{1}{2}\cdot (1,1)$

$A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)$

$B' (x,y) = \frac{1}{2}\cdot (9,1)$

$B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)$

$C'(x,y) = \frac{1}{2}\cdot (1,9)$

$C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)$

7 0

3 years ago

The equation y = 15.5x represents the number of dollars, y, Worker B earns in x hr.

ira [324]

Answer:

The correct answer is y = 20x.

Step-by-step explanation:

6 0

3 years ago