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3 years ago

A boat goes 15 mph in still water, and the rate of the current is t mph.

Mathematics

1 answer:

Advocard [28]3 years ago

4 0

Answer:

a) 15-t mph;

b) 15+t mph.

Step-by-step explanation:

a) When the boat travels upstream, the current hinders the boat (the speed of the boat decreases). Thus, the speed of the boat upstream becomes

15-t mph.

b) When the boat travels downstream, the current helps the boat (the speed of the boat increases). Thus, the speed of the boat downstream becomes

15+t mph.

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Select all the numbers that are rational.

anygoal [31]

Answers:

C, D, E

Step-by-step explanation:

A rational number is a integer. It is also a terminating or repeating decimal.

A rational number can be written as a fraction of two integers.

Answer A is not correct because it's decimal never ends. It is also not repeating. A cannot be written as a fraction.

Answer B is not correct because the square root is not a whole number, or a perfect square. The square root has a non-terminating and non-repeating decimal, just like A. B cannot be written as a fraction.

Answer C is rational because it has a terminating decimal.

D and E are integers, which also can be written as fractions.

Out of the options given, C, D, and E have rational numbers, while all others do not.

The answers are C, D, and E.

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3 years ago

Using a number cube and a

victus00 [196]

Answer:

1/12

Step-by-step explanation:

The probability of landing on tail = 1/2

The probability of rolling a 3 = 1/6

The probability of doing BOTH is 1/2 x 1/6 = 1/12

5 0

3 years ago

If the null space of A4×5 is exactly a two-dimensional plane, answer the following:

Hatshy [7]

Answer:

A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4

Null space is exactly two dimensional plane

dim null (A) = 2

II.

Rank A = dim U - dim Null A = 5 - 2 = 3

III.

Number of linearly Independent columns of A is the rank of A = 3

IV.

Yes, The system Ax = b has no solution sometimes as range of A \neq V

Yes,Sometimes Ax = b has a unique solution

VI.

Yes, sometimes Ax = b has infinitely many solutions

8 0

3 years ago

Which events have a probability of 25 percent? Select three options.

Marta_Voda [28]

Answer:

choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

2 green jelly beans in a set of 2+5+1 = 8 jelly beans

2/8 = 0.25.

So this is one of the options.

rolling a number less than 3 on a six-sided die

2 options(1 or 2) out of 6 possible values

2/6 = 0.3333...

So this is not one of the options.

spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

1 options(1) out of four possible sections(1,2,3,4)

1/4 = 0.25

So this is one of the options.

choosing an Oregon state quarter out a bag that contains 4 California state quarters, 3 Oregon state quarters, 6 Texas state quarters, and 3 New York state quarters

3 Oregon quarters out of 4+3+6+3 = 16 quarters

3/16 = 0.1875

Not one of the options

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

13 cards(spades) out of a set of 52 cards

13/52 = 0.25

So this is the final option

8 0

3 years ago

Read 2 more answers

Consider circle O. If AE = 7, EC = 2, and BE = 4, what is ED?

miv72 [106K]

The correct answer is 3.5

Two chords AC and BD are intersecting inside the circle. The Intersecting Chord Theorem states that when two chords intersect inside a circle, the products of their segments are equal.

Thus, for the given circle:
(AE) × (EC) = (BE) × (ED)

The lengths of the segments are
AE = 7
EC = 2
BE = 4
ED = ?

To solve for ED, we simply substitute the known values into the equation
$ED = \frac{7(2)}{4} = \frac{14}{4} = 3.5$

6 0

3 years ago

Read 2 more answers

A boat goes 15 mph in still​ water, and the rate of the current is t mph.

A boat goes 15 mph in still water, and the rate of the current is t mph.