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Anton [14]
2 years ago
9

Simplify the following expression:-5[(x^3 + 1)(x + 4)]​

Mathematics
1 answer:
lisov135 [29]2 years ago
8 0

Answer:

-5x^{4} -20x^{3} -5x-20

Step-by-step explanation:

-5[(x^{3} +1)(x+4)]

Use the FOIL method for the last two groups.

-5(x^{4} +4x^{3} +x+4)

Now, distribute the -5 into each term.

-5x^{4} -20x^{3} -5x-20

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Captain Emily has a ship, the H.M.S Crimson Lynx. The ship is five furlongs from the dread pirate Umaima and her merciless band
LenaWriter [7]

Answer:

The probability that the pirate misses the captain's ship but the captain hits = 0.514

Step-by-step explanation:

Let A be the event that the captain hits the pirate ship

The probability of the captain hitting the pirate ship, P(A) = 3/5

Let B be the event that the pirate hits the captain's ship

The probability of the pirate hitting the captain's ship P(B) = 1/7

The probability of the pirate missing the captain's ship, P'(B) = 1 - P(B)

P'(B) = 1 - 1/7 = 6/7

The probability that the pirate misses the captain's ship but the captain hits = P(A) * P(B) = 3/5 * 6/7

= 0.514

5 0
2 years ago
Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50. If she plans to ti
sweet [91]
The Tip will be $5.30
So the total she’ll pay is $31.80
8 0
2 years ago
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The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what is its wavelength?
QveST [7]

Answer:

Wave length = speed / frequency

Wave length = 3x10^8 / 4.11x10^4

Wave length = 7.299x10^3nm

Step-by-step explanation:

5 0
2 years ago
Determine the number of atoms in<br> 98.3 g mercury, Hg
Arisa [49]
The answer is 2.95 × 10²³ atoms

Atomic mass is 200.59 g.
So, 1 mole has 200.59 g. Let's calculate how many moles have 98.3 g:
1M : 200.59g = x : 98.3g
x = 98.3 g * 1 M : 200.59 g = 0.49 M

To calculate this, we will use Avogadro's number which is the number of units (atoms, molecules) in 1 mole of substance:

6.023 × 10²³ atoms per 1 mole
<span>How many atoms are in 0.49 mole:
</span>6.023 × 10²³ atoms : 1M = x : 0.49M
x = 6.023 × 10²³ atoms : 1M * 0.49M = 2.95 × 10²³ atoms
8 0
2 years ago
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The owner of a toy store received a shipment of 1552 party favors came in 28 boxes the same number of party favors were in 27 of
klemol [59]

Answer : (13)

Let x be the number of party favors in each (27 boxes)

Let y be the number of favors in last box

Given : total of party favors = 1552

27 boxes + last box = 1552

27x + y = 1552

We divide 1552 by 27, the quotient will be our x and the remainder will be y(number of party favors in last box)

Use long division

= 57 and remainder is 13

the number of party favors in each of (27 boxes) = 57

the number of party favors in last box = 13

So, there are 13 party favors in last box.

Read more on Brainly.com - brainly.com/question/9624402#readmore

3 0
2 years ago
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