Ask question

Ask question

All categories

3241004551 [841]

2 years ago

10

How to write 2.51 in expanded form

1 answer:

Kazeer [188]2 years ago

7 0

When you write in expanded form, you take apart the number by value and place value, and rewrite the number as an addition expression.
The answer is 2+0.51.
Hope that helped you.

You might be interested in

The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.

Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is $\dfrac{15}{2}.$

To find:

The sum of first six terms.

Solution:

We have,

$S_2=6$

$S_4=\dfrac{15}{2}$

Sum of first n terms of a GP is

$S_n=\dfrac{a(1-r^n)}{1-r}$ ...(i)

Putting n=2, we get

$S_2=\dfrac{a(1-r^2)}{1-r}$

$6=\dfrac{a(1-r)(1+r)}{1-r}$

$6=a(1+r)$ ...(ii)

Putting n=4, we get

$S_4=\dfrac{a(1-r^4)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}$

$\dfrac{15}{2}=6(1+r^2)$ (Using (ii))

Divide both sides by 6.

$\dfrac{15}{12}=(1+r^2)$

$\dfrac{5}{4}-1=r^2$

$\dfrac{5-4}{4}=r^2$

$\dfrac{1}{4}=r^2$

Taking square root on both sides, we get

$\pm \sqrt{\dfrac{1}{4}}=r$

$\pm \dfrac{1}{2}=r$

$\pm 0.5=r$

Case 1: If r is positive, then using (ii) we get

$6=a(1+0.5)$

$6=a(1.5)$

$\dfrac{6}{1.5}=a$

$4=a$

The sum of first 6 terms is

$S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}$

$S_6=\dfrac{4(1-0.015625)}{0.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Case 2: If r is negative, then using (ii) we get

$6=a(1-0.5)$

$6=a(0.5)$

$\dfrac{6}{0.5}=a$

$12=a$

The sum of first 6 terms is

$S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}$

$S_6=\dfrac{12(1-0.015625)}{1.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Therefore, the sum of the first six terms is 7.875.

5 0

2 years ago

Your friend Albert has invented a game involving two ten-sided dice. One of the dice has threes, fours, and fives on its faces,

guapka [62]

Answer:

d. 11.6

Step-by-step explanation:

The results of the first die and the second one are independent to each other. The expected value of Z is obtained, therefore, by summing the expected values of both X and Y, because Z = X+Y and X and Y are independent. As a result $\mu_z = \mu_x + \mu_y = 3.6+8.0 = 11.6 .$

4 0

3 years ago

gregori [183]

Answer: first part is 2 then 0, after, its “are two real solutions” on edg, yw

Step-by-step explanation:

8 0

2 years ago

Can someone please help me with this :(

konstantin123 [22]

Answer:

(it will take super long for me to answer this)

Step-by-step explanation:

Use desmos graphing calculator, put in your f(x)/y values and you will get all of the answers you need. Hope this is helpful :)

5 0

2 years ago

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

PolarNik [594]

Answer:

hypotenuse = 25 yards

Step-by-step explanation:

Use pythagorean theorem

c^2 = a^2 + b^2 where c = hypotenuse and 'a' and 'b' are the legs

hyp^2 = 24^2 + 7^2

hyp^2 = 625

hyp = 25 yd

7 0

1 year ago