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ch4aika [34]
3 years ago
5

Alex usually runs for 21 hours a week, training for a marathon. If he is unable to run for 3 days, describe how to find out how

many hours of training time he loses, and write the appropriate integer to describe how it affects his time
Mathematics
2 answers:
S_A_V [24]3 years ago
8 0
Alex usually runs for 21 hours a week.  We know that there are 7 days in a week.  21/7 = 3, which means that Alex runs for 3 hours each day.

We are trying to figure out how much time he loses if he is unable to run for three days.  3 * 3 = 9.  This means he loses 9 hours of training while he is unable to run.

dimulka [17.4K]3 years ago
4 0
Assuming he runs the same number of hours per day, then he runs 3 hours per day (21/7). 
If he runs 3 hours a day, then in 3 days he would have ran 9 hours (3*3). 

He loses 9 hours of training if he doesn't run for 3 days.
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5 0
3 years ago
A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population
Ksju [112]

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A  = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

8 0
4 years ago
Y’all what’s this I’m so confused help
Snowcat [4.5K]

Answer:

x = 66

Step-by-step explanation:

√(x - 2) + 3 = 11

Subtract 3 from both sides:  √(x - 2) = 8

Square both sides:                   x - 2 = 64

Add 2 to both sides:                      x = 66

8 0
3 years ago
Determine whether the following lines represented by the vector equations below intersect, are parallel, are skew, or are identi
KiRa [710]

Answer:

r(t) and s(t) are parallel.

Step-by-step explanation:

Given that :

the  lines represented by the vector equations are:

r(t)=⟨1−t,3+2t,−3t⟩

s(t)=⟨2t,−3−4t,3+6t⟩

The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.

NOTE:

Two lines will be parallel if \dfrac{x_1}{x_2}= \dfrac{y_1}{y_2}= \dfrac{z_1}{z_2}

here;

d_1 = (-1, \ 2, \ -3)

Thus;

r(t) = \dfrac{x-1}{-1} = \dfrac{y-3}{2}=\dfrac{z-0}{-3} = t

d_2 =(2, \ -4, \  +6)

s(t) = \dfrac{x-0}{2} = \dfrac{y+5}{-4}=\dfrac{z-3}{6} = t

∴

\dfrac{d_1}{d_2}= \dfrac{-1}{2} = \dfrac{2}{-4}= \dfrac{-3}{-6}

Hence, we can conclude that r(t) and s(t) are parallel.

6 0
3 years ago
5.
Ksenya-84 [330]

Answer:

2/5

Step-by-step explanation:

2 cups of lemon juice to 5 cups of water.

5 0
3 years ago
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