(7 * 10+ (7 * 109) + (7 10

Help me with this question please!! Show all work

Valentin [98]

The answer is 439.

3+(1/(7+1/15) = 333/106

333+ 106 = 439.

8 0

2 years ago

Suppose that a colony of bacteria starts with 1 bacterium and doubles in number every half hour. how many bacteria will the colo

OverLord2011 [107]

Let $a_n$ represent the number of bacteria after $\frac{n}{2}$ hours.

so

$a_0$ is the number of bacteria after 0/2 = 0 hours

$a_1$ is the number of bacteria after 1/2 hours

$a_2$ is the number of bacteria after 2/2 = 1 hours and so on

so if we list a few terms of this sequence, we have:

$a_0=1$

$a_1=1*2$

$a_2=1*2*2$

$a_3=1*2*2*2$

$a_4=1*2*2*2*2$

so clearly, $a_n$ , the number of bacteria after $\frac{n}{2}$ hours, is equal to $2^{n}$ .

$a_4_8$ is the number of bacteria after

$\frac{n}{2}=\frac{48}{2}= 24$ hours.

Thus, we calculate $a_4_8$ , which is $2^{48}$ .

Answer: the number of bacteria after 24 hours is $2^{48}$ .

3 0

3 years ago

How do i slove this 4.66x=8.66

Ahat [919]

Answer:

x = 1.858369099

or in fraction for

x = 1 200/233

Step-by-step explanation:

To solve this equation, we need to isolate x

4.66x=8.66

Divide each side by 4.66

4.66x/4.66=8.66/4.66

x = 1.858369099

6 0

3 years ago

Solve the problem. If at a given speed a car can travel 95.6 miles on 4 gallons of gasoline, how far can the car can travel on 6

VMariaS [17]

Answer: The correct option is (B) 1625.2 miles.

Step-by-step explanation: Given that at a given speed a car can travel 95.6 miles on 4 gallons of gasoline.

We are to find the distance that the car can travel on 68 gallons at the same speed.

We will be using the UNITARY method to solve the given problem.

Distance traveled by the car on 4 gallons of gasoline = 95.6 miles.

So, the distance traveled by the car on 1 gallon of gasoline will be

$\dfrac{95.6}{4}=23.9~\textup{miles}.$

Therefore, the distance traveled by the car in 68 gallons of gasoline is given by

$23.9\times68=1625.2~\textup{miles}.$

Thus, the required distance traveled by the car on 68 gallons of gasoline is 1625.2 miles.

Option (B) is CORRECT.

3 0

3 years ago

In the figure below.. Please help!!!

Pepsi [2]

<h3>Answer: 10.5 units</h3>

====================================================

Explanation:

Both AB and XY are the first two letters of ABC and XYZ respectively. So we have one fraction of AB/XY = 2/7.

AC and XZ are the first and last letters of ABC and XYZ respectively. We can form another fraction AC/XZ. I'm dividing in the same order of small over large to keep things consistent. As you can probably guess, the order of the letters ABC and XYZ are important so we see how the angles match up and how the proportional sides match up.

Because the triangles are similar, the two fractions formed earlier are equal to one another.

The equation we need to solve is AB/XY = AC/XZ

-----

AB/XY = AC/XZ

2/7 = 3/N ... plug in given values

2N = 7*3 .... cross multiply

2N = 21

N = 21/2 .... divide both sides by 2

N = 10.5

ZX is 10.5 units long.

7 0

3 years ago