A plant cell has a length of 0.000085 meters. Which is this length written in scientific notation?

Answers

Answer 1
Answer:

Answer: The answer would be 8.5 times 10^-5

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer 2
Answer:

Answer:

8.5 x 10^-5

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.


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You buy six pens for $2.99 each, and sales tax is 10%. How much change should you receive from a clerk if you give her a $20 bill?

Assume that a lost treasure will be in a certain area of the ocean with probability 0.4, and that a search of that area will find the treasure with probability 0.9 if it is there. What is the conditional probability of the treasure being in the area if the area is searched and no treasure is found?

Answers

Answer:

the probability of the treasure being in the area given that no treasure is found is 0.0625 (6.25%)

Step-by-step explanation:

denoting the event N= no treasure is found , then

P(N) = probability that the lost treasure is in the area* probability that the lost treasure is not found in the treasure's area + probability that the lost treasure is not in the area*  probability that the lost treasure is not found in other areas = 0.4*0.1 + 0.6*1 = 0.64

P(N) = 0.64

then we can get the conditional probability using the theorem of Bayes . Denoting the event A= the treasure being in the area

P(A/N) = P(A∩N)/P(N) = 0.4*0.1/0.64 = 0.0625 (6.25%)

where

P(A∩N) = probability of the treasure being in the area and no treasure is found

P(A/N) = probability of the treasure being in the area given that no treasure is found

Mr. Hoya brought 5 watermelons from his grocery store. The watermelons weighed 8.25 pounds, 9.25 pounds, 8.875 pounds, 9.625 pounds and 10.75 pounds. At the party, 153 people each ate a 0.25 pound serving of watermelon. Was the amount of leftover watermelon less than, greater than, or equal to 8.5 pounds? Explain how to solve the problem.

Answers

The first thing we must do for this case is to find the total weight of the watermelons.
 We have then:
 W = 8.25 + 9.25 + 8.875 + 9.625 + 10.75 W = 46.75 pounds
 We now look for the amount of watermelons that people ate.
 We have then:
 (0.25) * (153) = 38.25 pounds
 Therefore, the amount of watermelon remaining is:
 46.75 - 38.25 = 8.5 pounds
 We note that the amount of watermelon remaining is equal to 8.5 pounds.
 Answer:
 
the amount of leftover watermelon is: equal to 8.5 pounds
Answer:
The amount of leftover watermelon is equal to 8.5 pounds

Explanation:
1- getting the total weight of the watermelon:
The total weight of the watermelon will be the summation of the weights of the 5 watermelons he bought.
This means that:
Total weight = 8.25 + 9.25 + 8.875 + 9.625 + 10.75
Total weight = 46.75 pounds

2- getting the weight of the eaten watermelon:
We know that at the party, there were 153 people and each ate 0.25 of a pound of watermelon.
This means that:
amount eaten = 153 * 0.25
amount eaten = 38.25 pounds

3- getting the weight of the leftover:
weight of leftover = total weight - amount eaten
We have:
Total weight = 46.75 pounds
amount eaten = 38.25 pounds
Therefore:
weight of leftover = 46.75 - 38.25
weight of leftover = 8.5 pounds

Hope this helps :)

Write two fractions whose quotient is 28/45?

Answers

Answer:

  (7/9) ÷ (5/4) = 28/45

Step-by-step explanation:

Fractions can be divided by using the rule "invert and multiply". We can look at the factors of 28 and 45 to see what might have been multiplied to get these numbers.

  28 = 1·28 = 2·14 = 4·7

  45 = 1·45 = 3·15 = 5·9

So, there are a number of possibilities. A couple of them are ...

  28/45 = (7/9) × (4/5) = (4/9) × (7/5)

If we choose to use the first of these pairs of fractions, we can invert one of the fractions to make the denominator, then write the quotient as either of ...

 (7/9) ÷ (5/4)

or

  (4/5) ÷ (9/7)

20 POINTS! You are planning to use a ceramic tile design in your new bathroom. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 9 centimeters, what will be the exact area of each hexagonal shape?

Answers

Answer:

210.33 cm^2

Step-by-step explanation:

We know that 6 equilateral triangles makes one hexagon.

Also, an equilateral triangle has all its sides equal.

If the tile of each side of the triangular tile measure 9 cm, then the height of the triangular tiles can be gotten using Pythagoras's Theorem.

The triangle formed by each tile can be split along its height, into two right angle triangles with base (adjacent) 4.5 cm and slant side (hypotenuse) of 9 cm. The height  (opposite) is calculated as,

From Pythagoras's theorem,

hyp^(2) = adj^(2) + opp^(2)

substituting, we have

9^(2) = 4.5^(2) + opp^(2)

81 = 20.25 + opp^(2)

opp^(2) = 81 - 20.25 = 60.75

opp = √(60.75) = 7.79 cm  this is the height of the right angle triangle, and also the height of the equilateral triangular tiles.

The area of a triangle = (1)/(2) bh

where b is the base = 9 cm

h is the height = 7.79 cm

substituting, we have

area = (1)/(2) x 9 x 7.79 = 35.055 cm^2

Area of the hexagon that will be formed = 6 x area of the triangular tiles

==> 6 x 35.055 cm^2 = 210.33 cm^2

A line with a slope of -1/2 passes thru the point (-4,3)...Which equation represents this line?

Answers

Here you go!! Hope this helps!!!!

Answer: Go to a website called m a t h w a y

Step-by-step explanation:

1. It's really good for all kinds of math problems

2. It lets you answers to one question in different ways to give you the best possible answer!!!

3. IT'S FREE!!!!!!!

What is the area of this triangle?

Answers

Answer:

Option (D)

Step-by-step explanation:

Formula for the area of a triangle is,

Area of a triangle = (1)/(2)(\text{Base})(\text{Height})

For the given triangle ABC,

Area of ΔABC = (1)/(2)(\text{AB})(\text{CD})

Length of AB = (y_2-y_1)

Length of CD = (x_3-x_1)

Now area of the triangle ABC = (1)/(2)(y_2-y_1)(x_3-x_1)

Therefore, Option (D) will be the answer.