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3 years ago

(20 points)

Mathematics

2 answers:

Nuetrik [128]3 years ago

8 0

Answer:

the answer is B. 99x + 84 ≥ 1,150

Step-by-step explanation:

the total price of the shirts was 84 dollars

the price of the watches was 99 each which is 99x

and it has to be less than 1150 or equal to that amount otherwise she would go over her savings

Tanya [424]3 years ago

7 0

Answer:

99x + 84 ≤ 1,150

Step-by-step explanation:

Given,

The cost of the shirt she bought = $ 84,

Also, the cost of each watch she bought = $ 99,

Suppose she bought x watches,

So, the cost of x watches = 99x dollars,

Thus, her total spending = 84 + 99x

Since, she has a budget of $ 1,150,

That is, her spending can not be exceed $ 1,150, ( or spending must be less than or equal to $ 1150 )

⇒ 99x + 84 ≤ 1,150

Which is the required inequality.

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A certain semiconductor device requires a tunneling probability of T = 10-5 for an electron tunneling through a rectangular barr

Goryan [66]

Answer:

Generally the barrier width is $a = 1.9322 *10^{-9} \ m$

Step-by-step explanation:

From the question we are told that

The tunneling probability required is $T = 1 * 10^{-5}$

The barrier height is $V_o = 0.4 eV$

The electron energy is $E = 0.08eV$

Generally the wave number is mathematically represented as

$k = \sqrt{ \frac{2 * m [V_o - E]}{\= h^2} }$

Here m is the mass of the electron with the value $m = 9.11 *10^{-31} \ kg$

h is is know as h-bar and the value is $\= h = 1.054*10^{-34} \ J \cdot s$

$k = \sqrt{ \frac{2 * 9.11 *10^{-31 } [0.4 - 0.04] * 1.6*10^{-19}}{[1.054*10^{-34}^2]} }$

=> $k = 3.073582 *10^{9} \ m^{-1}$

Generally the tunneling probability is mathematically represented as

$T = 16 * \frac{E}{V_o } * [1 - \frac{E}{V_o} ] * e^{-2 * k * a}$

$1.0 *10^{-5} = 16 * \frac{0.04}{0.4 } * [1 - \frac{0.04}{0.4} ] * e^{-2 * 3.0736 *10^{9} * a}$

=> $6.944*10^{-6}= e^{-2 * 3.0736 *10^{9} * a}$

Taking natural log of both sides

$ln[6.944*10^{-6}] = -2 * 3.0736 *10^{9} * a}$

=> $-11.8776 = -2 * 3.0736 *10^{9} * a}$

=> $a = 1.9322 *10^{-9} \ m$

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3 years ago

If you want to buy an item in a store that costs $45.50 and is on sale for 10% off, then how much would the item actually cost y

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Answer:

$40.95

Step-by-step explanation:

Multiply 45.50 by 0.10 and get 4.55. 4.55 is the discount. Then subtract 4.55 from 45.50 and get 40.95

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3 years ago

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Sergio039 [100]

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Step-by-step explanation:

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3 years ago

Edoardo things of a number between one and 20 that has exactly 5 factors what number is he thinking of

Marina86 [1]

The number is 16 because it is divisible by 1, 2, 4, 8, and 16

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3 years ago

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2. The probability that a car will come to a complete stop at a particular stop sign is 0.4. Assume that the next four cars

kodGreya [7K]

Answer:

$P(X = 0) = 0.1296$

Step-by-step explanation:

This can be solved using the binomial distribution because the cars arriving at the stop are independent of each other. This means we will use:

$P(X = x) = \binom{n}{x} p^{x} q^{n - x}$

Where p is the probability of success, q = 1 - p is the probability of failure and n is the number of cars sampled.

p = 0.4

q = 0.6

n = 4

Therefore,

$P(X = 0) = \binom{4}{0} 0.4^{0} 0.6^{4}$

This is equal to

$P(X = 0) = 1 \times 1 \times 0.1296$

$P(X = 0) = 0.1296$

7 0

3 years ago