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3 years ago

11

How do u write 4,584.01 in scientific notation

1 answer:

arlik [135]3 years ago

7 0

4.58401 x 10^3 you move the decimal between the first two numbers

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The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2

dangina [55]

Answer:

irrational

Step-by-step explanation:

A = s^2

s^2 = 24,200

$s = \sqrt{24200}$

$s = \sqrt{242 \times 100}$

$s = \sqrt{100 \times 121 \times 2}$

$s = 10 \times 11\sqrt{2}$

$s = 110\sqrt{2}$

P = 4s

$P = 4 \times 100 \sqrt{2}$

$P = 440 \sqrt{2}$

The perimeter is irrational.

3 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

Solve the system by substitution.<br> y = 7x – 20<br> y = 2x

g100num [7]

Answer:

x=4 y=8

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

4 0

3 years ago

Is 0.02 irrational or rational

barxatty [35]

Step-by-step explanation:

0.02 is rational as it can be expressed as a finite decimal.

8 0

3 years ago

Cole has 12.4 meters of string how many feet of string is this

34kurt

It is 40.682414698, or about 40.7 feet of string.

8 0

3 years ago