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MrRissso [65]
3 years ago
10

What is the domain of the function g(x)=5^2x

Mathematics
1 answer:
IgorC [24]3 years ago
4 0
g(x)=5^{2x}
The domain:
All real numbers

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A LANE IN THE MIDDLE OF A TWO-WAY ROAD THAT HAS DASHED LINES ON BOTH SIDES AND TWO LARGE CURVED ARROWS FACING EACH OTHER MAY BE
Nonamiya [84]

This lane symbol is used for marking the beginning and ending of a left turn to the drivers.

What are lane symbols?

A permitted lane usage is denoted by a lane symbol. For example, a lane marked with a diamond is one that is designated for high-occupancy cars.  A lane symbol of a bicycle marks that the lane is designated for cyclists. At crossings, arrows indicate movements that are necessary or allowed. The user of the roadway must yield when there is a row of solid triangles. Likewise, two large curved arrows facing each other on a lane in the middle of a two way road with dashed lines on either sides indicate the beginning and ending of a left turn.

A Lane symbol or marking are also utilized to warn drivers of potentially dangerous situations that may be coming up. For instance, a triangle with no filling indicates a yield ahead. A speed hump is indicated by a succession of lines across a lane that get bigger and wider.

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4 0
2 years ago
Find the volume of the given prism. Round to the nearest tenth if necessary.
alex41 [277]

Answer:

17m³

Step-by-step explanation:

==>Given:

Prism with right triangular base with the following dimensions:

Height = 17m

Base area = area of the right triangle = ½×2×1 = 1m²

==>Required:

Volume of prism

==>Solution:

Volume of prism = Base area × height of prism

Volume of prism = 1m² × 17m

Volume = 17m³

3 0
3 years ago
Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total
AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

x+450

To calculate the total interest we need to calculate the interest of each individual account and sum them:

\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}

The total interest is the sum of the two expressions above:

\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0
1 year ago
Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?.
marin [14]

To solve the problem we must know the basic exponential properties.

<h3>What are the basic exponent properties?</h3>

{a^m} \cdot {a^n} = a^{(m+n)}

\dfrac{a^m}{a^n} = a^{(m-n)}

\sqrt[m]{a^n} = a^{\frac{n}{m}}

(a^m)^n = a^{m\times n}

(m\times n)^a = m^a\times n^a

The expression can be written as x^9\sqrt[3]{y}.

Given to us

  • (x^{27}y)^\frac{1}{3}

(x^{27}y)^\frac{1}{3}

Using the exponential property(m\times n)^a = m^a\times n^a,

=(x^{27}y)^\frac{1}{3}\\\\=x^{\frac{27}{3}}\times y^\frac{1}{3}\\\\=x^9\times y^\frac{1}{3}

Using the exponential property \sqrt[m]{a^n} = a^{\frac{n}{m}},

=x^9\times y^\frac{1}{3}\\\\=x^9\times \sqrt[3]{y}\\\\=x^9 \sqrt[3]{y}

Hence, the expression can be written as x^9\sqrt[3]{y}.

Learn more about Exponent properties:

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5 0
2 years ago
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Write the equation of a line in point slope form that passes through the points (-8.-3) and (2,2) need help ​
slava [35]
Y+3=1/2•(x+8) (point slope form)
should be correct
7 0
3 years ago
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