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3 years ago

A family of 2 adults and 3 children went on holiday to Miami.

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

3 0

Answer:

£175

Step-by-step explanation:

Given the exchange rate was £1 = 1.84 dollars.

We are to change 322 dollars to pounds (£).

£1 = 1.84 dollars.

x = 322 dollars

Cross multiply

1.84 * x = 322

1.84x = 322

x = 322/1.84

x = 175

Hence 322 dollars in pounds will be £175

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What happens to the value of the expression 2t/t as t decreases

anyanavicka [17]

Answer:

it stays the same until t=0, where it is undefined

Step-by-step explanation:

2t/t = 2 . . . . when t ≠ 0

2t/t = undefined when t = 0.

The value of t can increase or decrease and the value of the ratio remains the same. The value has a "hole" at t=0, where it is undefined. Otherwise, its value is always 2.

5 0

3 years ago

Classify the following triangle. Check all that apply.

victus00 [196]

I know Iscoscles and acute only

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3 years ago

4. Using the geometric sum formulas, evaluate each of the following sums and express your answer in Cartesian form.

nikitadnepr [17]

Answer:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=1$

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=0$

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})=\frac{1}{2}$

Step-by-step explanation:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=\frac{1}{2}(\sum_{n=0}^9 (e^{\frac{i\pi n}{2}}+ e^{\frac{i\pi n}{2}}))$

$=\frac{1}{2}(\frac{1-e^{\frac{10i\pi}{2}}}{1-e^{\frac{i\pi}{2}}}+\frac{1-e^{-\frac{10i\pi}{2}}}{1-e^{-\frac{i\pi}{2}}})$

$=\frac{1}{2}(\frac{1+1}{1-i}+\frac{1+1}{1+i})=1$

2nd

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=\frac{1-e^{\frac{i2\pi N}{N}}}{1-e^{\frac{i2\pi}{N}}}$

$=\frac{1-1}{1-e^{\frac{i2\pi}{N}}}=0$

3th

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})==\frac{1}{2}(\sum_{n=0}^\infty ((\frac{e^{\frac{i\pi n}{2}}}{2})^n+ (\frac{e^{-\frac{i\pi n}{2}}}{2})^n))$

$=\frac{1}{2}(\frac{1-0}{1-i}+\frac{1-0}{1+i})=\frac{1}{2}$

What we use?

We use that

$e^{i\pi n}=cos(\pi n)+i sin(\pi n)$

and

$\sum_{n=0}^k r^k=\frac{1-r^{k+1}}{1-r}$

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3 years ago

The length of the terrarium is 14.5 inches and the width is 7 inches. what is the height of the terrarium?

mote1985 [20]

The height is: 7.5 inches. Since the terrarium is 14.5 inches in total, and the width is 7 inches, the remaining inches makes up the height and that is 7.5.

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Jlenok [28]

2+2=4

2+2=4

this is easy

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