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3 years ago

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What is the number 4,305,012 written in expanded form

1 answer:

solmaris [256]3 years ago

6 0

4000000+300000+5000+10+2=4,305,012

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Miguel has 1 foot of string. He cuts the string into fourths. How many inches is each piece of string?

Vikentia [17]

Each piece of string has 3 inches each

5 0

3 years ago

Read 2 more answers

Let Q(x, y) be the predicate "If x < y then x2 < y2," with domain for both x and y being R, the set of all real numbers.

Levart [38]

Answer:

a) Q(-2,1) is false

b) Q(-5,2) is false

c)Q(3,8) is true

d)Q(9,10) is true

Step-by-step explanation:

Given data is $Q(x,y)$ is predicate that $x$ then $x^{2}$ . where $x,y$ are rational numbers.

a)

when $x=-2, y=1$

Here $-2$ that is $x$ satisfied. Then

$(-2)^{2}$

$4$ this is wrong. since $4>1$

That is $x^{2}$ $>y^{2}$ Thus $Q(x,y)$ $=Q(-2,1)$ is false.

b)

Assume $Q(x,y)=Q(-5,2)$ .

That is $x=-5, y=2$

Here $-5$ that is $x$ this condition is satisfied.

Then

$(-5)^{2}$

$25$ this is not true. since $25>4$ .

This is similar to the truth value of part (a).

Since in both $x$ satisfied and $x^{2} >y^{2}$ for both the points.

c)

if $Q(x,y)=Q(3,8)$ that is $x=3$ and $y=8$

Here $3$ this satisfies the condition $x$ .

Then $3^{2}$

$9$ This also satisfies the condition $x^{2}$ .

Hence $Q(3,8)$ exists and it is true.

d)

Assume $Q(x,y)=Q(9,10)$

Here $9$ satisfies the condition $x$

Then $9^{2}$

$81$ satisfies the condition $x^{2}$ .

Thus, $Q(9,10)$ point exists and it is true. This satisfies the same values as in part (c)

6 0

3 years ago

Given that p(x) is a polynomial in 2 and a € R. If (x – a) is a factor of p(I), then p(a) must be

coldgirl [10]

C. Zero is the correct answer

6 0

3 years ago

Mr. Goldstein is 4 times as old as his daughter Anna. In 4 years, he will be 3 times as old as Anna. How old is Anna now?

trasher [3.6K]

Lets Anna's age = A

Mr. Goldstein age = G

Mr. Goldstein is 4 times as old as his daughter Anna.

So G= 4A

In 4 years, he will be 3 times as old as Anna

we add 4 with Both their ages

G + 4 = three times of A + 4

G + 4= 3(A + 4)

We know G= 4A, replace it in above equation

4A + 4= 3(A + 4)

4A + 4= 3A + 12

Subtract 3A from both sides

A + 4 = 12

Subtract 4 from both sides

A = 8

So Anna's age = 8 years

6 0

3 years ago

A water tank already contained 24 gallons of water before a pump was switched to fill it. The pump started at 10:00 am and by 10

grigory [225]

Answer:

The equation to represent the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours can be given as:

$W=32T+24$

Step-by-step explanation:

Given:

Water tank initially contained = 24 gallons of water

The pump to fill the tank was switched to fill it.

From 10:00 AM to 10:30 AM the tank contained 40 gallons of water.

By 1:00 PM the tank contained 120 gallons of water.

To write an equation which will tell the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours

Solution:

Initially, gallons of water in tank = 24

From 10:00 AM to 10:30 AM the tank had 40 gallons of water.

Thus, in half an hour the pump filled = $40-24$ = 16 gallons

Using unitary method:

If in $\frac{1}{2}$ of an hour water filled = 16 gallons

So, in 1 hour the water filled will be = $16\times 2$ = 32 gallons

In 3 hours the water filled will be = $32\times 3$ = 96 gallons

Thus, by 1:00 PM the water in the tank will be = $96+24$ = 120 gallons

This confirms the data given for 1:00 PM.

This shows that the rate at which the pump fills the tank is 32 gallons of water per hour.

The equation to represent the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours can be given as:

$W=32T+24$

4 0

3 years ago