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erma4kov [3.2K]
2 years ago
15

Solve for x 5x 2^3x = 21

Mathematics
1 answer:
GenaCL600 [577]2 years ago
5 0
If u meant to put, 5x multipled by 2^3x=21 the answer is x= 0.798
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Firewood can be sold in cords. the wood is cut into equal lengths and stacked evenly in a rack. which geometric shape can be use
Nadya [2.5K]

To estimate the volume of the chord of wood, since the wood exists cut into equal lengths and stacked evenly in a rack then we can use a cylinder as a model.

<h3>What is a cylinder?</h3>

In mathematics, a cylinder exists as a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases exist normally circular (like a circle) and the center of the two bases exists joined by a line segment, which exists named the axis.

A cylinder exists as a closed solid that contains two parallel circular bases joined by a curved surface.

To calculate the volume of the chord of wood, since the wood exists cut into equal lengths and stacked evenly in a rack then we can use a cylinder as a model.

To learn more about cylinders refer to:

brainly.com/question/8531193

#SPJ4

7 0
2 years ago
Calculate the unit price ($/g) of a 20g jar of sugar. The cost of a jar is $5.00.
BlackZzzverrR [31]

Answer:

$0.25/g

Step-by-step explanation:

20g --- $5.00

1g --- \frac{1}{20} × $5.00 = $0.25

7 0
3 years ago
You install 638 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 152 feet. What is the length
vovikov84 [41]

The length is 486

Step-by-step explanation:

638 subtract 152

6 0
2 years ago
How many positive integer factors of 100! are multiples of 2 or 3?
elena-s [515]

Positive integer factors of 100:

1, 2, 4, 5, 10, 20, 25, 50, 100

Now find if they are a multiple of 2 or 3.

2, 4, 10, 20, 50, 100

That is 6 factors.

3 0
3 years ago
Alice and Bob each choose at random a number between zero and two. We assume a uniform probability law under which the probabili
Mnenie [13.5K]

Answer / Step-by-step explanation:

Before we start to answer this question, it would be nice to understand some basic definition and principles:

Random: This refers to an unpredictable pattern of arrangement.  Without a specific aim or logical procedural pattern.

Uniform Probability distribution: This is a type of probability distribution in which the outcomes of distribution irrespective of the pattern or distance results in equally likely outcomes.

Uniform distribution is one of the widely used distributions although it's one of the simplest ones. The idea behind this distribution is that, unlike the other distributions, the likelihood of the any outcome in the distribution range is the same.

Now that we have a brief knowledge of the key terms within the question, hence, to start answering the question,

(a) Starting with 0 for Alice, Bob can choose any number starting from   1 /  3 . As Alice increases, Bob has to increase his starting point as well. Therefore, after Alice passes  1 /  3 , Bob can start choosing numbers from 0. This creates 2 triangles with sides  1  / 3 . The area of them gives us the probability.

Therefore, : P = 2 ( 1/3 1/3 1/3)

                        = 4/9

(b) We can find the probability of having both the numbers less than  1  / 3 . Then we subtract this probability from 1.

We have: P = 1 - 1/3 . 1/3

                     = 8/9

(c) This is basically impossible as the area of a dot is negligible.

(d) It means that Alice needs to select a number between  1  / 3  and 1.

Therefore: P = 1 - 1 /3

                    = 2 / 3

8 0
3 years ago
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