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4 years ago

Write this number in standard notation. 4.702 x 10^–4

2 answers:

4 0

0.0004702 I always learnt to do this by moving the the decimal point across (left in the case of a minus power) as many steps as the power

NemiM [27]4 years ago

4 0

Answer: The number in standard notation will be 0.0004702

Step-by-step explanation:

Standard notation is defined as the notation in which number is written in the simplest way.

If the number written in scientific notation has positive exponent on 10 as $10^n$ , the decimal point will move 'n' times to the right.

If the number written in scientific notation has negative exponent on 10 as $10^{-n}$ , the decimal point will move 'n' times to the left.

We are given a number which is $4.702\times 10^{-4}$

So, its value in standard notation will be 0.0004702

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What is the domain of the function y=2√x-6? 88AX<∞ O 0≤x<∞ 3≤x<∞ 6≤x<∞

Travka [436]

Answer:

If the x-6 is all under the sqrt, the last answer is right:

6<= x <= infinity

If only x is under the sqrt and - 6 is NOT under the sqrt, then:

0 <= x <= infinity is the correct answer.

Step-by-step explanation:

You can look at the equation and or graph to determine the domain of a function. The domain is all the x's that may go into the equation or all the x's on the graph of the function. Inside of a squareroot symbol the number inside there must be positive. While considering the equation, only x's that keep that inside positive can be used.

For sqrt(x-6), x has to be 6 or bigger.

For sqrt(x) - 6, x has to be 0 or bigger.

6 0

2 years ago

A prism has a square base with a side length of 4 1 2 4 1 2 feet. The height of the prism is 6 feet. What is the volume of the p

dusya [7]

We have been given that a prism has a square base with a side length of 4 1/2 feet. The height of the prism is 6 feet. We are asked to find the volume of the prism.

We know that volume of prism is base area times height.

$\text{Area of base}=\text{Area of square}=\text{Side length}^2$

$\text{Area of base}=(4\frac{1}{2})^2$

$\text{Area of base}=(\frac{9}{2})^2$

$\text{Area of base}=\frac{9^2}{2^2}$

$\text{Area of base}=\frac{81}{4}$

$\text{Volume of prism}=\frac{81}{4}\times 6$

$\text{Volume of prism}=\frac{81}{2}\times 3$

$\text{Volume of prism}=\frac{243}{2}$

$\text{Volume of prism}=121\frac{1}{2}$

Therefore, the volume of prism is $121\frac{1}{2}\text{ ft}^3$ and option D is the correct choice.

4 0

4 years ago

If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expres

Luda [366]

$\bf \qquad \textit{parabola vertex form}\\\\\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array}\qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
vertex\ (-4,6)\qquad 
\begin{cases}
h=-4\\
k=6
\end{cases}\implies y=a(x-(-4))^2+6
\\\\\\
y=a(x+4)^2+6
\\\\\\
\textit{we also know that }
\begin{cases}
x=-3\\
y=14
\end{cases}\implies 14=a(-3+4)^2+6$

solve for "a"

8 0

4 years ago

Does every number have a decimal expansion? yes or no

Aleonysh [2.5K]

I’m pretty sure the answer is no

5 0

3 years ago

The Smiths are moving from New Jersey to South Africa. They pack their belongings in rectangular creates and hire a box to ship

Viefleur [7K]

Answer:

16 crates

Step-by-step explanation:

-This is a division problem.

-Let x be the number of crates that will fit in to the box car.

-To solve x, we divide the volume of the boxcar by the volume of one crate:

$V=lwh\\\\l=length\\w=width\\h=height\\\\V_{bc}=20m\times 3m\times 4m\\\\=240\ m^3\\\\V_c=lwh\\\\=5m\times1.5m\times 2m\\\\=15\ m^3\\\\\therefore x=\frac{V_{bc}}{V_c}\\\\=\frac{240}{15}\\\\=16\ crates$

Hence, 16 crates will fit in the boxcar.

6 0

4 years ago