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2 years ago

Estimate each number as a single digit times a power of ten . Drag expressions to complete the table

Mathematics

1 answer:

Crazy boy [7]2 years ago

7 0

Answer:

Concept: Number Analaysis

The first option goes back 9 spaces hence
$4.3 \times {10}^{ - 9}$
Second one you to forward 10 spaces hence
$4.3 \times 10 ^{10}$
Using that logic solve the rest!

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What is the probability that a point chosen at random in the triangle is also in the blue square? A blue square inside of an uns

Dmitrij [34]

Answer:

One-third

Step-by-step explanation:

we know that

The probability that a point chosen at random in the triangle is also in the blue square is equal to divide the area of the square by the area of triangle

step 1

Determine the area of triangle

$A=\frac{1}{2}(9)(6)=27\ in^2$

step 2

Determine the area of the square

$A=(3^2)=9\ in^2$

step 3

Determine the probability

$P=\frac{9}{27}$

simplify

$P=\frac{1}{3}$

therefore

One-third

5 0

2 years ago

The Golden Braid Bookstore currently has $340,000 in cash, $280,000 in inventory, and $40,000 in accounts receivable. The compan

Ivenika [448]

Answer:

The quick ratio is 4.75:1.

Step-by-step explanation:

From the given information it is clear that:

Cash = $340,000

Inventory = $280,000

Accounts receivable = $40,000

Accounts payable = $65000

Other current liabilities = $15000

Formula for quick ratio:

$\text{Quick ratio}=\frac{\text{Cash + Current receivables + short-term investment}}{\text{Current Liabilities}}$

Substitute Cash = 340000, Current receivables=40000, Current Liabilities= (65000+15000).

$\text{Quick ratio}=\frac{340000+40000}{65000+15000}$

$\text{Quick ratio}=4.75$

Therefore the quick ratio is 4.75:1.

8 0

2 years ago

A cubic box is completely filled with 2,179 g of water. What is the length of one side of the box, in meters? m Explain your rea

lisov135 [29]

Answer:

$l\approx 1.296\,cm$

Step-by-step explanation:

The water density is approximately 1 gram per cubic centimeter, which means that 1 gram of water occupies a volume of a cubic centimeter. Hence, 2.179 grams occupies a volume of 2.179 cubic centimeters.

Let assume volume occupied by the water has a cube-like shape, whose side has the following measure:

$l = \sqrt[3]{2.179\,m^{3}}$

$l\approx 1.296\,cm$

6 0

2 years ago

A contractor is in charge of hiring people for a construction project. The number of days it would take to complete the project

sweet-ann [11.9K]

Answer:

$\text{Domain of x}=[1,\infty), x \in Z^+$

Step-by-step explanation:

Given the function: $f(x)=\dfrac{280}{x},$ where:$

f(x) =number of days it would take to complete the project

x =number of full-time workers.

$\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days$

The domain of a function is the complete set of possible values of the independent variable.

In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.

Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).

$\text{Domain of x}=[1,\infty), x \in Z^+$

7 0

2 years ago

Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 i

zimovet [89]

Answer:

Step-by-step explanation:

The square root of 20 is √(2 * 2 * 5) which is 2√5 Not so

√5 does not terminate and there is no pattern to the decimal. √5 is irrational.

Neither one is correct.

8 0

2 years ago