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3 years ago

15

The elevations of a town is 450 feet above sea level. The elevation of a lake is 25 feet below sea level. What is the difference

between the elevations of the town and lake?

1 answer:

Eddi Din [679]3 years ago

8 0

Answer:

425

Step-by-step explanation:

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What is the difference?

TEA [102]

Answer:

I WAS WRONG PICK D

Step-by-step explanation:

I'm an idiot

7 0

3 years ago

Determine whether each expression is equivalent to 49^2t – 0.5.

vampirchik [111]

Answer:

None of the expression are equivalent to $49^{(2t - 0.5)}$

Step-by-step explanation:

Given

$49^{(2t - 0.5)}$

Required

Find its equivalents

We start by expanding the given expression

$49^{(2t - 0.5)}$

Expand 49

$(7^2)^{(2t - 0.5)}$

$7^2^{(2t - 0.5)}$

Using laws of indices: $(a^m)^n = a^{mn}$

$7^{(2*2t - 2*0.5)}$

$7^{(4t - 1)}$

This implies that; each of the following options A,B and C must be equivalent to $49^{(2t - 0.5)}$ or alternatively, $7^{(4t - 1)}$

A. $\frac{7^{2t}}{49^{0.5}}$

Using law of indices which states;

$a^{mn} = (a^m)^n$

Applying this law to the numerator; we have

$\frac{(7^{2})^{t}}{49^{0.5}}$

Expand expression in bracket

$\frac{(7 * 7)^{t}}{49^{0.5}}$

$\frac{49^{t}}{49^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{49^{t}}{49^{0.5}}$ becomes

$49^{t-0.5}}$

This is not equivalent to $49^{(2t - 0.5)}$

B. $\frac{49^{2t}}{7^{0.5}}$

Expand numerator

$\frac{(7*7)^{2t}}{7^{0.5}}$

$\frac{(7^2)^{2t}}{7^{0.5}}$

Using law of indices which states;

$(a^m)^n = a^{mn}$

Applying this law to the numerator; we have

$\frac{7^{2*2t}}{7^{0.5}}$

$\frac{7^{4t}}{7^{0.5}}$

Also; Using law of indices which states;

$\frac{a^{m}}{a^n} = a^{m-n}$

$\frac{7^{4t}}{7^{0.5}}$ = $7^{4t - 0.5}$

This is also not equivalent to $49^{(2t - 0.5)}$

C. $7^{2t}\ *\ 49^{0.5}$

$7^{2t}\ *\ (7^2)^{0.5}$

$7^{2t}\ *\ 7^{2*0.5}$

$7^{2t}\ *\ 7^{1}$

Using law of indices which states;

$a^m*a^n = a^{m+n}$

$7^{2t+ 1}$

This is also not equivalent to $49^{(2t - 0.5)}$

6 0

3 years ago

Is 3/47 a rational number

lesya692 [45]

3/47 is a rational number

p/q is a rational number, where p and q are real integers, and q does not equal to 0.

8 0

3 years ago

There are 12 people in cafe. half of them are drinking coffee. How many people are drinking coffee?

enot [183]

The answer is 6 people.

Half of the 12 people in the cafe would be 6 people. You can find half of a number by dividing it by two, or multiplying it by .5

4 0

3 years ago

What is the value of the y coordinate of any point on the x axis?

Leona [35]

The value of the y coordinate of any point on the x axis is always 0.

<u><em>Explanation</em></u>

Suppose, the co ordinate of any point is $(a,b)$ .

It means, the distance of the point from x-axis is ' $b$ ' and distance from y-axis is ' $a$ '.

Now if the point lies on the x-axis, that means the distance of the point from x-axis will be 0. Thus, the value of ' $b$ ' will be 0.

So, the value of the y coordinate of any point on the x axis is always 0.

5 0

3 years ago