4 years ago

What is expanded form for 93,472,810

Mathematics

1 answer:

egoroff_w [7]4 years ago

7 0

90,000,000+300000+400000+700000+2000+800+10

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Let z≥2. What is the remainder of 10^z −1 divided by 4?

DerKrebs [107]

Answer:

The remainder is 3.

Step-by-step explanation:

We have to find out,

$10^z-1(mod 4)=?\text{ where }z\geq 2$

If z = 2,

$10^{2}-1=100-1=99$

∵ 99 ( mod 4 ) = 3,

Suppose,

$(10^{k}-1)(mod 4)=3\forall \text{ k is an integer greater than 2,}$

Now,

$(10^{k+1}-1) ( mod 4)$

$= (10^k.10 - 10+9)(mod 4)$

$= 10(mod 4)\times (10^k-1)(mod 4 ) + 9 ( mod 4)$

$= (2\times 3)(mod 4) + 1$

$=2+1$

$=3$

Hence, our assumption is correct.

The remainder of $10^z -1$ divided by 4 is 3 where, z ≥ 2.

7 0

3 years ago

Distance of (7,-1) (4,-7)

Helen [10]

D = sqrt (4-7)^2 + (-7+1)^2

sqrt (-3)^2 + (-6)^2

sqrt (9) + (36)

the distance between the two points would be SQUARE ROOT OF 45 or 6.71 UNITS

7 0

3 years ago

Write an expression equivalent to 6(x + y) + 11 – 5, and state which property you used to write it.

4vir4ik [10]

Answer:

6x + 6y + 6

Step-by-step explanation:

Given the expression equivalent to

6(x + y) + 11 – 5

= 6x + 6y + 6

I used distributive property to rewrite this expression and distributive law is multiplying the number outside of the parenthesis with every each number or variable inside.

Hope it will find you well.

5 0

3 years ago

Ann, Chau, and Keith sent a total of 133 text messages over their cell phones during the weekend. Keith sent 3 times as many mes

crimeas [40]

33 + 25 + 75 = 133 kdkdk

3 0

3 years ago

What is five multiplied by five

jenyasd209 [6]

Answer:

Step-by-step explanation:

5+5+5+5+5=25

4 0

3 years ago

Read 2 more answers