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2 years ago

Please answer as soon as possible

Mathematics

1 answer:

alekssr [168]2 years ago

4 0

Answer:8^1/6*2^x=32^1/2

We move all terms to the left:

8^1/6*2^x-(32^1/2)=0

Domain of the equation: 6*2^x!=0

x!=0/1

x!=0

x∈R

We get rid of parentheses

8^1/6*2^x-32^1/2=0

We calculate fractions

There is no solution for this equation

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The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and w

kotegsom [21]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Volume = 270 cm³

height = 5 cm

length = ?

width = ?

Formula

Volume of a rectangular prism = height x length x width

- Solve for Area of the base (height x length)

Area of the base = Volume / height

-Substitution

Area of the base = 270 / 5

-Result

Area of the base = 54 m²

2.- Find the prime factors of 54

54 2

27 3

9 3

3 3

3.- The possible values of the sidas of the rectangle are:

Combining the prime factor of 54.

Length Width

2 x 3 = 6 and 3 x 3 = 9

or 2 x 3 x 3 = 18 and 3 x 1 = 3

or 3 x 3 x 3 = 27 and 2 x 1 = 2

6 0

2 years ago

A small military base housing 1,000 troops, each of whom is susceptible to a certain virus infection. Assuming that during the c

slava [35]

Answer:

$I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

Step-by-step explanation:

The rate of infection is jointly proportional to the number of infected troopers and the number of non-infected ones. It can be expressed as follows:

$\frac{dI}{dt}=a*I*(1000-I)$

Rearranging and integrating

$\frac{dI}{dt}=a*I*(1000-I)\\\\\frac{dI}{I*(1000-I)}=a*dt\\\\\int\frac{dI}{I*(1000-I)}=\int a*dt\\\\-\frac{ln(1000/I-1)}{1000}+C=a*t$

At the initial breakout (t=0) there was one trooper infected (I=1)

$-\frac{ln(1000/1-1)}{1000}+C=0\\\\-0,006906755+C=0\\\\C=0,006906755$

In two days (t=2) there were 5 troopers infected

$-\frac{ln(1000/5-1)}{1000}+0,006906755=a*2\\\\-0,005293305+0,006906755=2*a\\a = 0,00161345 / 2 = 0,000806725$

Rearranging, we can model the number of infected troops (I) as

$-\frac{ln(1000/I-1)}{1000}+0,006906755=0,000806725*t\\\\-\frac{ln(1000/I-1)}{1000}=0,000806725*t-0,006906755\\-ln(1000/I-1)=0,806725*t-0.6906755\\\\\frac{1000}{I}-1=exp^{0,806725*t-0.6906755} \\\\\frac{1000}{I}=exp^{0,806725*t-0.6906755}+1\\\\I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

6 0

2 years ago

An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and hav

Romashka [77]

Answer:

Probability of an Orange on the next toss

= (23/60) = 0.3833

Step-by-step explanation:

Orange: 46

Brown: 23

Green: 32

Yellow: 19

Probability of an Orange on the next toss

= n(orange colours obtained in the tosses) ÷ n(number of tosses)

n(orange colours in the tosses) = 46

Total number of tosses = 46 + 23 + 32 + 19

= 120.

Probability of an Orange on the next toss

= (46/120) = (23/60) = 0.3833

Hope this Helps!!!!

4 0

2 years ago

What is the substitution for 3x+4y^2 if x= -2 and y=3?

solniwko [45]

Answer:

Step-by-step explanation:

$3x+4y^2\\\\\text{Substitute the value of x = -2 and y = 3 to the expression:}\\\\3(-2)+4(3^2)\qquad\text{use PEMDAS}\\\\=-6+4(9)=-6+36=30$

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2 years ago

A washer and a dryer cost 634 dollars combined. The washer cost 66 dollars less than the dryer. What is the cost of the dryer?

Nutka1998 [239]

Steps to Solve:

1. 634 / 2 = 317

2. 317 + 66 = 383

Answer:

A = $383

Notes:

Read the question, this problem is not that hard to solve!

8 0

2 years ago

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