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3 years ago

I need help, am not good at this

Mathematics

1 answer:

dem82 [27]3 years ago

5 0

Answer:

If z =1/2, which expression has the greatest value?

1. (z^-2 z^5)^-2 = (z^3)^-2 = 1/z^6 = 1/(1/2)^6 = 2^6 = 64

2. (z^3)^5 = z^15 = (1/2)^15 = 1/(2^15)

3. z^-6 z^4 = z^-2 = (1/2)^-2 = 1/2^2 = 1/4

4.-(z^2 z^-4)^-3 is negative 64

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4. The length of Marshall’s rectangular poster is 2 times its width. If the perimeter is 24 inches, what is the area of the post

lubasha [3.4K]

The length is 7 with a width of 5, so the area is 35

3 0

3 years ago

The mass of earth is 5.9 x 10^24. The mass of Pluto is 13,000,000,000,000,000,000,000 kg. Compared to Pluto, how much greater is

nadya68 [22]

5.9 × 10^24 = 5,900,000,000,000,000,000,000,000 minus
13,000,000,000,000,000,000,000 equals
5,887,000,000,000,000,000,000,000 kg
which is the amount greater that Earth's mass is. you could write this problem as
5.9 × 10^24 - 13 × 10^21 = 5.887 × 10^21

7 0

3 years ago

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

nataly862011 [7]

Answer:

Step-by-step explanation:

x = small barrettes

y = large barrettes

13x + 11y = 142.......multiply by -1

13x + 12y = 149

-----------------------

-13x - 11y = -142 (result of multiplying by -1)

13x + 12y = 149

------------------------add

y = 7..........large barrettes used 7 yards

13x + 11y = 142

13x + 11(7) = 142

13x + 77 = 142

13x = 142 - 77

13x = 65

x = 65/13

x = 5........small barrettes used 5 yards

4 0

3 years ago

About 70,000 people live in a 6-mile radius of a city's town hall. Find the population density in people per square mile. Round

nika2105 [10]

Answer:

The population density is 618.93 per square mile.

Step-by-step explanation:

It is given that,

No. of people, N = 70,000

The radius of a city's town hall, r = 6 miles

We need to find the population density. It can be calculated by the formula i.e. number of people divided by area of land such that,

$P=\dfrac{N}{A}\\\\P=\dfrac{N}{\pi r^2}\\\\P=\dfrac{70000}{\pi (6)^2}\\\\P=618.93\ \text{per square mile}$

So, the population density is 618.93 per square mile.

7 0

3 years ago

Lacy draws a diamond from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card

Viktor [21]

Answer:

a) i) No

ii) Probability of drawing a diamond and then spade without replacement is 0.0637.

b) i) Yes

ii) Probability of drawing a diamond and then spade with replacement is 0.0625

Step-by-step explanation:

Part a) Without replacement:

i) Are these events independent?

No, because the both events are dependent. because a card taken out of the deck is not replaced back before taking out the other card so the chances of event occur change.

ii) Determine the probability of drawing a diamond and then a spade without replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond = 13/52

Probability of drawing a spade:

Total cards in deck after taking diamond = 52 -1 =51

Spades = 13

Probability of drawing a spade = 13/51

Probability of drawing a diamond and then spade = 13/52 * 13/51

= 169/2652

=0.0637

So, Probability of drawing a diamond and then spade without replacement is 0.0637

Part b) With replacements

i) Are these events independent?

Input Yes or No:

Yes, these events are independent because a card taken out of the deck is replaced back before taking out the other card so the chances of event occur doesn't change.

ii) Determine the probability of drawing a diamond and then a spade with replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond = 13/52

Probability of drawing a spade:

Total cards in deck after replacing diamond = 52

Spades = 13

Probability of drawing a spade = 13/52

Probability of drawing a diamond and then spade = 13/52 * 13/52

= 169/2704

=0.0625

So, Probability of drawing a diamond and then spade with replacement is 0.0625

7 0

3 years ago