All categories

2 years ago

3

Mathematics

2 answers:

Kaylis [27]2 years ago

7 0

He climbed 3/4 of a mile in 2/3 of an hour.

Now we're getting somewhere.

Speed = (distance) / (time)

Speed = (3/4 mile) / (2/3 hour)

Speed = (3/4) / (2/3) mile/hour

Speed = (3/4) x (3/2) mile/hour

Speed = 9/8 mile/hour

<em>Speed = 1 and 1/8 mile/hour</em>

That's Choice-C.

Gwar [14]2 years ago

6 0

Answer:

Step-by-step explanation:

formula

rate = distance / time

r = d/t

Givens

distance = 3/4 of a mile

time = 2/3 of an hour

Solution

Put the fractions in for d/t

$\frac{\frac{3}{4} }{\frac{2}{3} }$

Turn the denominator upside down and multiply the result by 3/4

r = 3/4 * 3/2 = 9 / 8 miles / hour

Answer r = 1 1/8 or C

You might be interested in

Find a formula for Y(t) with Y(0)=1 and draw its graph. What is Y\infty?

tino4ka555 [31]

Answer:

$(a)\ y(t)\ =\ -2e^{-2t}+3$

$(b)\ y(t)\ =\ 4e^{-2t}-3$

Step-by-step explanation:

(a) Given differential equation is

Y'+2Y=6

=>(D+2)y = 6

To find the complementary function, we will write

D+2=0

=> D = -2

So, the complementary function can be given by

$y_c(t)\ =\ C.e^{-2t}$

To find the particular integral, we will write

$y_p(t)\ =\ \dfrac{6}{D+2}$

$=\ \dfrac{6.e^{0.t}}{D+2}$

$=\ \dfrac{6}{0+2}$

= 3

so, the total solution can be given by

$y_(t)\ =\ C.F+P.I$

$=\ C.e^{-2t}\ +\ 3$

$y_(0)=C.e^{-2.0}\ +\ 3$

but according to question

1 = C +3

=> C = -2

So, the complete solution can be given by

$y_(t)\ =\ -2.e^{-2.t}\ +\ 3$

(b) Given differential equation is

Y'+2Y=-6

=>(D+2)y = -6

To find the complementary function, we will write

D+2=0

=> D = -2

So, the complementary function can be given by

$y_c(t)\ =\ C.e^{-2t}$

To find the particular integral, we will write

$y_p(t)\ =\ \dfrac{-6}{D+2}$

$=\ \dfrac{-6.e^{0.t}}{D+2}$

$=\ \dfrac{-6}{0+2}$

= -3

so, the total solution can be given by

$y_(t)\ =\ C.F+P.I$

$=\ C.e^{-2t}\ -\ 3$

$y_(0)\ =C.e^{-2.0}\ -\ 3$

but according to question

1 = C -3

=> C = 4

So, the complete solution can be given by

$y_(t)\ =\ 4.e^{-2.t}\ -3$

4 0

3 years ago

write the equation of the line through the points (-3,3) and (7,5) in slope-intercept form. what is the y-intercept

sesenic [268]

Answer:

y = 0.2x + 3.6

Step-by-step explanation:

3 + 7 = 10

2 / 10 = 0.2

y = 0.2x + ___

0 - (-3) = 3

3 * 0.2 = 0.6

3 + 0.6 = 3.6

y = 0.2x + 3.6

4 0

4 years ago

Read 2 more answers

What is better 48oz fish for 1.39 or a 32oz fish for .89

SVETLANKA909090 [29]

32 oz fish for.89 because it's .027 and the48 oz would be .028

8 0

3 years ago

What statement is true about the graphs of the two lines y = -6 and x = 1/6?

pav-90 [236]

the two lines are perpendicular

y = -6 is a horizontal line ( slope of 0) and x = 1/6 is a vertical line (undefined slope). These are perpendicular to each other

4 0

3 years ago

0.2, 0.4, 1/2, 3/5, 0.35, 3/8 ordered from least to greatest

alexgriva [62]

Answer: 0.2, 0.35, 3/8, 0.4, 1/2, 3/5 please mark brainliest

7 0

3 years ago