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3 years ago

Tonya runs 8 kilometers in 60 minutes.At this rate,how long it take her to run 2 kilometers

1 answer:

8 0

15 Minutes

You have 8 km in an hour.

Divide all that by two and you'll have 4 km in 30 mins.

Then divide by two again to end up with 2 km in 15 mins.

You could alternatively divide by four from the beginning, but I find this easier.

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9966 [12]

Answer:

(b) -m, m + 3

Step-by-step explanation:

x² − 3x − m(m + 3) = 0

x² − 3x = m(m + 3)

x² − 3x + 9/4 = m(m + 3) + 9/4

(x − 3/2)² = m(m + 3) + 9/4

(x − 3/2)² = m² + 3m + 9/4

(x − 3/2)² = (m + 3/2)²

x − 3/2 = ±(m + 3/2)

x − 3/2 = m + 3/2, -m − 3/2

x = m + 3, -m

6 0

2 years ago

What is the length of AC?

Verizon [17]

AC is parallel to MN then triangle ABC and triangle MBN are similar and the ratio of the corresponding sides are equal...

3 0

2 years ago

Determine what the solution is to the following system? Y=3/4x-1 & y=4/3x-1

vichka [17]

Answer:

(0, -1)

Step-by-step explanation:

There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"

First, since both equations are equal to Y, we can set them equal to each other and solve for X

$\frac{3 }{4} x - 1 = \frac{4}{3} x - 1$

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

$3x - 4 = 5 \frac{1}{3}x - 4$

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

$9x - 12 = 6 x - 12$

Now, solve how you normally would.

9x = 6x

-6x

3x = 0

X = 0

Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

$y = \frac{3}{4} (0) - 1$

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!

4 0

2 years ago

I need help fast pleasee

trapecia [35]

Answer:

y = - cos ( $\frac{3}{4}$ x + $\frac{\pi }{4}$ )

Step-by-step explanation:

y = A cos ( Bx + C) + D

Vertical shift D = 0

A = - 1

Compression / Stretching B

Period of given function is $\frac{8\pi }{3}$

Period of cos x is 2π

$\frac{8\pi }{3}$ = $\frac{2\pi }{B}$ ⇒ B = $\frac{3}{4}$

Horizontal shift is C ÷ B

Horizontal shift of given function is $\frac{\pi }{3}$

$\frac{\pi }{3}$ = C ÷ $\frac{3}{4}$ ⇒ C = $\frac{\pi }{4}$

So, the equation of given function is

y = - cos (  $\frac{3}{4}$  x +  $\frac{\pi }{4}$  ) 

4 0

1 year ago

On the basis of data collected during an experiment, a biologist found that the growth of a fruit fly population (Drosophila) wi

Ket [755]

Answer:

(a). 15

(b). 78

Step-by-step explanation:

Growth of the population of a fruit fly is modeled by

N(t) = $\frac{600}{1+39e^{-0.16t} }$

where t = number of days from the beginning of the experiment.

(a). For t = 0 [Initial population]

N(0) = $\frac{600}{1+39e^{-0.16\times 0} }$

= $\frac{600}{1+39}$

= $\frac{600}{40}$

= 15

Initial population of the fruit flies were 15.

(b).Population of the fruit fly colony on 11th day.

N(11) = $\frac{600}{1+39e^{-0.16\times 11} }$

= $\frac{600}{1+39e^{-1.76} }$

= $\frac{600}{1+39\times 0.172 }$

= $\frac{600}{1+6.71}$

= $\frac{600}{7.71}$

= 77.82

≈ 78

On 11th day number of fruit flies colony were 78.

3 0

3 years ago