During which interval was the bicyclists speed the greatest?

Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is repres

fredd [130]

Answer: D . $N(t) = 3 + (0.25t)^3 - 8(1.06)^t$

Step-by-step explanation:

Given : Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is represented by the function,

$A(t) = 5 + (0.25t)^3$

The number of bacteria of species B, B(t), after t hours is represented by the function, $B(t) = 2 + 8(1.06)^t$

Then, the difference in the number of bacteria, N(t), of both the species after t hours will be :-

$N(t)=A(t)-B(t)\\\\=5 + (0.25t)^3-(2 + 8(1.06)^t)\\\\=5 + (0.25t)^3-2-8(1.06)^t\\\\=5-2 +(0.25t)^3-8(1.06)^t\\\\=3+(0.25t)^3-8(1.06)^t$

Hence, the correct answer should be : D . $N(t) = 3 + (0.25t)^3 - 8(1.06)^t$

7 0

3 years ago

What is the value of x in simplest radical form?

Vikki [24]

Answer:

It's 90 because we'll make it equal

5 0

2 years ago

Jen picked 3/4 of a gallon of strawberries in a half an hour.If she keeps picking strawberries at the same rate, how many gallon

sp2606 [1]

Answer:

3 gallons.

Step-by-step explanation:

We have been given that Jen picked 3/4 of a gallon of strawberries in a half an hour.

Let us convert our given time in minutes.

1 hour= 60 minutes.

1/2 hour= 30 minutes.

So 2 hours= 120 minutes.

Let us find the number of gallons of strawberries picked by Jen in 30 minutes by dividing 3/4 by 30.

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{\frac{3}{4} }{30}$

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{3}{4*30}$

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{1}{40}$

Now let us multiply 1/40 by 120 to find the number of gallons of strawberries picked by Jen in 120 minutes(2 hours).

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=120*\frac{1}{40}$

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=3$

Therefore, Jen picked 3 gallons of strawberries in 2 hours.

8 0

3 years ago

Solve the system of equations. y=-3x+4 -4x+y=-10

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

In this particular case we have the following system of equations:

y

=

−

3

x

+

4

[

E

q

.

1

]

x

+

4

y

=

−

6

[

E

q

.

2

]

Substituting

[

E

q

.

1

]

in

[

E

q

.

2

]

:

x

+

4

(

−

3

x

+

4

)

=

−

6

Applying the distributive property on the left side:

x

−

12

x

+

16

=

−

6

Simplifying

:

−

11

x

=

−

22

Solving for

y

:

x

=

−

22

−

11

=

2

Substituting

x

=

2

in

[

E

q

.

1

]

:

y

=

−

3

(

2

)

+

4

=

−

2

Therefore

, the solutions are

x

=

2

and

y

=

−

2

7 0

3 years ago

Read 2 more answers

What is the volume of 10 2 in 5.5in

svetlana [45]

Answer:

110 in³

Step-by-step explanation:

The volume of a rectangular prism is the product of its dimensions:

V = LWH

V = (10 in)(2 in)(5.5 in) = 110 in³

5 0

2 years ago