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3 years ago

Ax^2+bx+c=0, where a,b,and c are rational numbers and the quadratic has two distinct zeros

Mathematics

1 answer:

wariber [46]3 years ago

6 0

Answer:

Step-by-step explanation:

ax^2+bx+c=0 ... a≠0

a,b,and c are rational numbers

the quadratic has two distinct zeros when : delta ≻0 delta = b²- 4ac

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A submarine lies 3 kilometers from the path of a target ship. The sub’s torpedoes have a range of 5 kilometers. For what distanc

aev [14]

The distance along the path of the ship be within the range of the torpedoes is 4 kilometers.

Explanation:

The submarine lies 3 km from the target ship.

Let B denotes the target ship and C denotes the submarine.

Let AC denotes the the target ship would be within the range of the torpedoes.

The image attached below illustrates that the distance between submarine and the target ship and the range of the torpedoes.

Let BC denotes the distance between the target ship and the submarine. Let AC denotes the range of the torpedoes.

To determine the length of AB, let us use Pythagorean theorem,

$AC^{2} =AB^{2} +BC^{2}$

Substituting the values of BC = 3 and AC = 5, we have,

$5^{2} =AB^{2} +3^{2}$

Squaring the terms, we get,

$25 =AB^{2} +9$

Subtracting both sides by 9, we have,

$16 =AB^{2}$

Taking square root on both sides,

$AB = 4$

Thus, the distance along the path of the ship be within the range of the torpedoes is 4 kilometers.

5 0

4 years ago

As every Girl Scout knows, statistics teachers seriously love Girl Scout Cookies. The number of boxes of GS cookies statistics t

Alexandra [31]

Answer:

a) 0.75

b) 0.0625

c) 0.1875

d) 0.375

Step-by-step explanation:

Let's start by first finding the probability a teacher orders 6 boxes. Since it is a four sided dice, the probability of getting a 1 is going to be 0.25.

Similarly, for any other number on the dice, the teacher orders 2 boxes. We can think of this as NOT rolling a 1. Using our previous answer, this comes out to be: 1 - 0.25 = 0.75

It should be remembered in the following answers that teachers ordering 6 or 2 boxes are not influenced by the results of other teachers. These are statistically independent events.

a) As given above, this probability is 0.75

b) The probability that both teachers order 6 boxes will be their individual probabilities multiplied. This comes out to be: 0.25 x 0.25 = 0.0625

c) Like in part (b), this is both of their probabilities multiplied:

0.25 x 0.75 = 0.1875

d) This is nearly the same as part (c), but with a little twist. The order matters. There are two scenarios:

First teacher gets 6 boxes, and the second gets 2.
First teacher gets 2 boxes, and the second gets 2.

Both of these events have a probability of 0.1875, as shown in (c). To get the total probability of this event happening, we must add these together:

0.1875 + 0.1875 = 0.375

4 0

3 years ago

Write the repeating decimal as a mixed number.

Basile [38]

The answer is 11 & 51/100!

5 0

3 years ago

The graph shows the ages of different concertgoers who have backstage passes.

kow [346]

Answer:

B.The two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age.

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

Alicia took a friend for a birthday dinner. The total bill for dinner was $40.86 (including tax and a tip). If Alicia paid a 20.

solniwko [45]

Answer:

$33.85

Step-by-step explanation:

Let X be the initial bill:

(100 + 20.7)% of X was paid

120.7/100 × X = 40.86

X = 40.86 × 100/120.7

X = 33.85252693

4 0

3 years ago