Express this number in scientific notation. 0.000000591 A. 5.91 × 10–7 B. 5.91 × 10–6 C. 5.91 × 106 D. 5.91 × 107

Mathematics

1 answer:

Artemon [7]2 years ago

7 0

Answer:

Step-by-step explanation:

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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

3 years ago

Double check my answer plssssss!!!!!!!!!!!!!!!!!!!!

emmainna [20.7K]

THE ANSWER:

112 - 7 = 105
105 ÷ 7 = 15
x = 15

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3 years ago

What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?

vodka [1.7K]

For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is $V=Bh$ , the volume of a pyramid/cone is $V=\frac{1}3Bh$ .

In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is $A=\pi r^2$ where r is the radius.
$A=\pi (4)^2=\pi (4\times4)=16\pi=B$

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

$V=\frac{1}3\times16\pi \times9$

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

$V\approx\frac{1}3\times50.24\times9$

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

$V\approx3\times50.24$

$\boxed{V\approx150.72\ cm^3}$