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1 year ago

Which choice represents the fraction below as a single exponential

Mathematics

2 answers:

lions [1.4K]1 year ago

5 0

The correct value of this expression is 8⁵

A fraction is also a division. When we divide power with equal bases - we subtract the exponents and keep the base.

<h3>Resolution </h3>

= 8⁸/8³
= 8⁸÷³
= 8⁵

Therefore, the answer correct is 8⁵

Vladimir [108]1 year ago

4 0

Answer:

8^5

Step-by-step explanation:

division is just minusing exponents

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Which equation can be used to find the measure of angle LJK?

UkoKoshka [18]

Depending on what type of triangle it is, for a right triangle you would use sin inverse=(opposite/hypotenuse), cos inverse=(adjacent/hypotenuse), or tan inverse=(opposite/adjacent). For any other triangle you would refer to the Law of sines where side a/sine of angle A=side b/sine of angle B and same goes for C

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3 years ago

Name 3 of the 4 features listed below for the function g (x) = log2 (x + 4) - 1 and include a description of how you found those

givi [52]

(1) Vertical asymptote: $x=-4$

(2) Domain: $x>-4$

(3) X intercept: $(-2,0)$ and Y intercept : $(0,1)$

(4) The function g(x) is shifted 4 units to the left and shifted 1 unit down.

Explanation:

The parent function is $f(x)=\log _{2} x$

The transformed function is $g(x)=\log _{2}(x+4)-1$

(1) Vertical asymptote:

The vertical asymptote of a function can be determined by equating

$x+4=0$

Thus, $x=-4$

The vertical asymptote is $x=-4$

(2) Domain:

The domain of a function is the set of all independent x-values.

$x+4>0$

Thus, $x>-4$

The domain of a function is $x>-4$

(3) X and Y intercepts:

To determine the x intercept, let us substitute y=0 in $g(x)=\log _{2}(x+4)-1$

$\begin{equation}\begin{aligned}\log _{2}(x+4)-1 &=0 \\\log _{2}(x+4) &=1 \\x+4 &=2^{1} \\x &=-2\end{aligned}$

Thus, the x intercept is $(-2,0)$

To determine the y intercept, let us substitute x=0 in $g(x)=\log _{2}(x+4)-1$

$\begin{equation}\begin{aligned}y &=\log _{2}(0+4)-1 \\&=\log _{2} 4-1 \\&=2-1 \\&=1\end{aligned}$

Thus, the y intercept is $(0,1)$

(4) To determine the transformation:

The transformed function $g(x)=\log _{2}(x+4)-1$ is shifted 4 units to the left and shifted 1 unit downwards.

4 0

3 years ago

Multiple 24 by 8.95 I need to show the work. I don’t know the steps

hjlf

Answer: 214.8

Step-by-step explanation:

First move the decimal to the right, in this case 8.95 = 895., then multiply the 24 by 895. to get 21480., you then move the decimal to the left and you get 214.80 or 214.8.

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1 year ago

Calculate the perimeter of a triangle with the following measurements: 200 mm, 40 cm and 400 dm Please HELP

melisa1 [442]

Answer:

640 dm

Step-by-step explanation:

200+40+400=640dm

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3 years ago

Jacob made a circle-shaped poster for his geometry class.

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3 years ago