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Paraphin [41]
3 years ago
13

Which of the following represents the correct expansion of (x + 2)^5?

Mathematics
1 answer:
otez555 [7]3 years ago
8 0
(x + 2)^5 = (x + 2) (x + 2) (x + 2)(x + 2)(x + 2) =
(x2 + 4x + 4)(x2+4x+4)(x+2) = ( x4 + 4x3 + 4x2 + 4x3 + 16x2 + 16x + 4x2 +16x + 16)(x+2) = ( x4 + 8x3 + 24x2 + 32x + 16)(x+2) = ( x5 + 8x4 + 24x3 + 32x2 + 16x + 2x4 + 16x3 + 48x2 + 64x + 32) =
x5 + 10x4 + 40x3 + 80x2 + 80x + 32
Answer D
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Wich one is cheer to buy 20 for 4.40 or 24 for 4.80
lawyer [7]
4.4/20=0.22 per item 4.8/24=0.2 per item Answer: 24 for 4.80
6 0
3 years ago
Mehvish buys 1/2 kg carrots, 3 kg potatoes, 2 kg onions and 1 1/2kg of chicken.
ozzi

Answer:

The amount of change will be £7.99

Step-by-step explanation:

Here, we want to calculate the amount of change that Mehvish should get

1/2 kg carrots at 50 p per kg will be;

1/2 * 50 = 25 p

3 kg potatoes at 64 p per kg will be

3 * 64 = p 192

2 kg onions at 42 p per kg

2 * 42 p = 84 p

1 1/2 kg chicken at £6 per kg will be:

since £1 is 100 p

1.5 * 6 = £9 (9 * 100 p = 900p)

since £1 is 100 p

£20 will be;

20 * 100 = 2,000 p

So let us make the subtraction as follows;

2,000- 900 - 84-192 - 25 = 799 p

In pounds, this is divided by 100

we have this as 799/100 = £7.99

7 0
3 years ago
A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
Mrrafil [7]

8 \times 25\% \\  = 8 \times  \dfrac{25}{100}  \\  = 2

Answer : He spends 2 hours doing paperwork each day.

Hope this helps. - M
4 0
3 years ago
A study show that there are 16 vehicles for every 10 households how many vehicles are there for 107 million households
Lisa [10]
\bf \begin{array}{ccll}
vehicles&households\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
16&10\\
v&107E6
\end{array}\implies \cfrac{16}{v}=\cfrac{10}{17E6}\implies \cfrac{17E6\cdot 16}{10}=v

just to clarify the engineering notation, E6 is just 1 and 6 zeros, or a million, thus, 107,000,000 is just 107E6.
6 0
3 years ago
Find the measure of angle Y
Musya8 [376]

Answer:

∠y=60°

Step-by-step explanation:

Question says to find the measure of the angle Y.

We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.

∠x = ∠y = ∠z...(i)

We know that sum of all three angles of the triangle is always 180°.

So we can write:

∠x+∠y+∠z=180°

∠y+∠y+∠y=180°  {using equation (i) }

3∠y=180°

divide both side by 3

∠y=60°

Hence final answer is the measure of angle y is 60 degree.

8 0
3 years ago
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