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ioda
4 years ago
12

In a small pertinent dish,a bacteria culture begin with single bacteria and doubles in population every hour, based on the funct

ion model p(x)=2^x
1. What coordinate point represents when only one bacterium is present in the
culture? What does this coordinate point represent in terms of the graph of the
function? What does each coordinate point represent in terms of the problem
situation?
Mathematics
1 answer:
sergij07 [2.7K]4 years ago
4 0

Answer:

(0, 1)

Step-by-step explanation:

p(x) =2^x

  • p(x) - is number of bacteria
  • x - time, hour

Solution of p(x) = 1

  • 2^x = 1
  • x = 0,

Indicating initial number of 1 in the beginning

Coordinate of (0, 1) is the solution

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Use piece wise function to answer f(0)=
MrMuchimi

Answer:

f(0) = 0

Step-by-step explanation:

Given

See attachment

Required

Determine f(0)

To solve for f(0), we make use of:

f(t) = \frac{t^3}{t + 9}

Because: t \ge -2 is true for t =0

So, we have:

f(t) = \frac{t^3}{t + 9}

f(0) = \frac{0^3}{0 + 9}

f(0) = \frac{0}{9}

f(0) = 0

7 0
3 years ago
Solve for c: c=5 5/6 x 2
Marina86 [1]

Hi there!

c=11 2/3

<u><em>1.Convert 5 5/6 into mixed number:</em></u>

<u><em /></u>5 \frac{5}{6}=\frac{35}{6}<u><em /></u>

<u><em>2.Convert 2 into fraction term:</em></u>

<u><em /></u>2=\frac{2}{1}<u><em /></u>

<u><em>3.Convert both fraction into same denominator:</em></u>

<u><em /></u>\frac{35}{6}=\frac{35}{6}<u><em /></u>

<u><em /></u>\frac{2}{1}=\frac{12}{6}<u><em /></u>

<u><em>4.Multiply the two terms:</em></u>

<u><em /></u>\frac{35}{6}<u><em>·</em></u>\frac{12}{6}=\frac{70}{6}<u><em /></u>

<u><em>5.Simplfly the fraction term:</em></u>

<u><em /></u>\frac{70}{6}=\frac{35}{3}<u><em /></u>

<u><em /></u>\frac{35}{3}=11 \frac{2}{3}<u><em /></u>

Therefore, c=11 2/3.

<u><em /></u>

4 0
3 years ago
What’s the solution for X?
RideAnS [48]

Answer:

x = 10

Step-by-step explanation:

Given

\frac{x}{5} + 13 = \frac{3x}{2} ( multiply through by 10, the LCM of 5 and 2 to clear the fractions )

2x + 130 = 15x ( subtract 2x from both sides )

130 = 13x ( divide both sides by 13 )

10 = x

5 0
3 years ago
Is 0.5 less than 0.25
Andrews [41]
No,

0.5=0.50 >0.25
......................
4 0
4 years ago
Read 2 more answers
Being 10 miles apart, two cars started moving towards each other. After one hour they met, and during that time the first car co
Vladimir [108]

The speed of the first car was 6 miles/hour

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

\large {\boxed {a = \frac{v - u}{t} } }

\large {\boxed {d = \frac{v + u}{2}~t } }

<em>a = acceleration ( m/s² )</em>

<em>v = final velocity ( m/s )</em>

<em>u = initial velocity ( m/s )</em>

<em>t = time taken ( s )</em>

<em>d = distance ( m )</em>

Let us now tackle the problem!

<u>Given:</u>

Distance between two cars = d = 10 miles

Time Taken = t = 1 hour

Distance covered by the first car = d₁ = 2 + d₂

<u>Unknown:</u>

Speed of the first car = v₁ = ?

<u>Solution:</u>

d = d_1 + d_2

10 = ( 2 + d_2 ) + d_2

10 = 2 + 2d_2

10 - 2 = 2 d_2

8 = 2 d_2

d_2 = 8 \div 2

d_2 = 4 \texttt{ miles}

\texttt{ }

d_1 = 2 + d_2 = 2 + 4 = 6 \texttt{ miles}

v_1 = d_1 \div t = 6 \div 1 = 6 \texttt{ miles/hour}

<h3>Learn more</h3>
  • Velocity of Runner : brainly.com/question/3813437
  • Kinetic Energy : brainly.com/question/692781
  • Acceleration : brainly.com/question/2283922
  • The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle

7 0
3 years ago
Read 2 more answers
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