<img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B2x%7D%20%20%3D%2081" id="TexFormula1" title=" {3}^{2x} = 81" alt=" {3}^{2x}

All categories

alexgriva [62]

3 years ago

= 81" align="absmiddle" class="latex-formula">
Find x

Mathematics

1 answer:

Mamont248 [21]3 years ago

3 0

Answer:

x= 12.64

Step-by-step explanation:

You might be interested in

What is an equation of the line in slope intercept form m=3 and the y-intercept is (0 4)

Daniel [21]

The correct way to write slope intercept is y=3x+4

7 0

3 years ago

Read 2 more answers

The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on

vodomira [7]

The probability of winning when betting on two lines that touch each other on the table is 6/38

<h3>How to determine the probability?</h3>

The sample size is given as:

n = 38

The numbers on the range 1-2-3-4-5-6 is:

Range = 6

So, the probability is calculated as:

P = Range/n

This gives

P = 6/38

Hence, the probability of winning is 6/38

Read more about probability at:

brainly.com/question/251701

#SPJ4

7 0

2 years ago

What's 8/7x^3+x^4+6x+1 in standard form

Fynjy0 [20]

Please enclose fractions such as 8/7 inside parentheses:

<span>(8/7)x^3+x^4+6x+1

Next, arrange these four terms in order of power of x:

</span>x^4 + (8/7)x^3+ 6x+1 This is the standard form you wanted.

4 0

3 years ago

Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

4 years ago

A cylindrical storage tank has a depth of 9 ft and a radius measuring 2 ft. The tank needs to be painted. If 1 pint of paint cov

ludmilkaskok [199]

Answer: 3 pints of paint

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a cylinder: 2 π r2 + 2 π r h

Where r is the radius and h is the height of the storage.

Replacing with the values given:

SA = 2 π (2)^2 + 2 π (2) 9

SA= 2 π (4)+ 2 π 18

SA= 138.23 ft2

Since 1 pint of paint covers 50 ft2 , we have to divide the surface area by the area that each pint of paint covers:

138.23 / 50 = 2.76 = 3 pints of paint

Feel free to ask for more if needed or if you did not understand something.

3 0

4 years ago