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3 years ago

Which expression is equal to -3b^4(6b^-8)? Assume b=/0

Mathematics

1 answer:

Hatshy [7]3 years ago

5 0

Answer:

-18 b^-4= -18/b^4

Step-by-step explanation:

-3b^4(6b^-8)

Combine coefficients

-3*6 = -18

Combine exponents since the bases are the same, x^y * x^z = x^(x+z)

b^4 *b^ -8

b^(4+-8)

b^ -4

Put back together

-18 b^-4

We also know that x^-y = 1/x^y

-18/b^4

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If x represents the number since 1988 what does x=32 represents

Alenkasestr [34]

<h3>Answer: The year 2020</h3>

Explanation:

x is the number of years since 1988

x = 0 represents the year 1988

x = 1 is the year 1988+1 = 1989

x = 2 is the year 1988+2 = 1990

etc

x = 32 is the year 1988+32 = 2020

6 0

3 years ago

How many seconds will light leaving Los Angeles take to reach the following locations (a) San Francisco (about 500km), (b) Londo

kondor19780726 [428]

Answer:

a) It takes 0.0017s for the light to reach San Francisco.

b) It takes 0.033s for the light to reach London.

c) It takes 1.334s for the light to reach Mars.

d) It takes 149.7s for the light to reach Venus.

Step-by-step explanation:

Here we can solve this problem by using this following formula:

$s = \frac{d}{t}$

In which s is the speed(in km/s), d is the distance(in km) and t is the time(in s).

The light speed is 299 792 458 m / s = 299,792.458 km/s, so $s = 299,792.458$

(a) San Francisco (about 500km)

Find t when $d = 500$ . So

$s = \frac{d}{t}$

$299,792.458 = \frac{500}{t}$

$299,792.458t = 500$

$t = \frac{500}{299,792.458}$

$t = 0.0017s$

It takes 0.0017s for the light to reach San Francisco.

b) London(about 10,000km)

Find t when $d = 10,000$ . So

$s = \frac{d}{t}$

$299,792.458 = \frac{10,000}{t}$

$299,792.458t = 10,000$

$t = \frac{10,000}{299,792.458}$

$t = 0.033s$

It takes 0.033s for the light to reach London.

(c) the Moon (400,000km)

Find t when $d = 400,000$ . So

$s = \frac{d}{t}$

$299,792.458 = \frac{400,000}{t}$

$299,792.458t = 400,000$

$t = \frac{400,000}{299,792.458}$

$t = 1.334s$

It takes 1.334s for the light to reach Mars.

(d) Venus (0.3 A.U. from Earth at its closest approach).

Each A.U. has 149,59,7871 km.

So 0.3 A.U. = 0.3*(149,597,871) = 44,879,361.3. This means that $d = 44,879,361.3$ . So:

$s = \frac{d}{t}$

$299,792.458 = \frac{44,879,361.3}{t}$

$299,792.458t = 44,879,361.3$

$t = \frac{44,879,361.3}{299,792.458}$

$t = 149.7s$

It takes 149.7s for the light to reach Venus.

3 0

3 years ago

Brandon solved 24 math problems in 8 minutes, and Marcus solved 18 math problems in 9 minutes. Who solved more problems per minu

Delicious77 [7]

Answer

Brandon

Step-by-step explanation:

Brandon solved three a minute while Marcus solved two a minute

4 0

3 years ago

I need with explanation

Vitek1552 [10]

Which of the following (1, 16, 27, 81) is not a square number?

5 0

2 years ago

The ______ average ignores compounding.

mars1129 [50]

The answer is: [B]: "arithmetic" .
______________________________________________________
"The <u> arithmetic </u> average ignores compounding."
______________________________________________________

8 0

3 years ago