The correct answer for this question is this one: "B. the quotient 5 cubed over 5 to the fourth, raised to the negative 3 power"

<span>A. 5 times the quotient 5 cubed over two-fifths, raised to the second power
B. the quotient 5 cubed over 5 to the fourth, raised to the negative 3 power
C. 5 to the negative 2 over 5 to the negative 5
E. 5 times the quotient 5 to the 5 over 5 cubed</span>

3 0

3 years ago

a plane averaged 400 mph on a trip going east, but only 280 mph on the return trip. The total flying time in both directions was

Liula [17]

Answer:

1400 miles

Step-by-step explanation:

Speed is the time rate of change of distance. It is the ratio of distance to time and is given by the equation:

$Speed(S) = \frac{distance(d)}{time(t)}\\ S=\frac{d}{t}$

plane averaged 400 mph on a trip going east, but only 280 mph on the return trip.

The time spent (t₁) in going east is given by:

$S=\frac{d}{t_1}\\ t_1=\frac{d}{S} =\frac{d}{400mph}$

The time spent (t₂) in going east is given by:

$S=\frac{d}{t_2}\\ t_2=\frac{d}{S} =\frac{d}{280mph}$

The total time (t) = t₁ + t₂

t = t₁ + t₂ = 8.5 hours

$\frac{d}{400}+\frac{d}{280} =8.5\\280d+400d=952000\\680d=952000\\d=1400miles\\$

Therefore the one way distance is 1400 miles

7 0

3 years ago

Solve for x please and thank you

Sphinxa [80]

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

The product of segment lengths is the same for the two chords.

9(21) = x(27)

x = 189/27 . . . . . divide by 27

x = 7

5 0

3 years ago

Suppose that the new england colonials baseball team is equally likely to win a game as not to win it. if 4 colonials games are

seraphim [82]

1. Consider the tree diagram in the picture attached.

2 Each of the games picked can be a W (win) or a L (lose), the chances are equal

3. All that could happen in 4 picked games is shown in the picture:

2 w 2 l can happen in the following 6 ways: {(W,W,L,L)(W,L,W,L)(W,L,L,W)(L,W,W,L)(L,W,L,W)(L,L,W,W)}

4. P(2W,2L)=6/16=3/8

7 0

3 years ago