what is the value of this expression

log2^8 + log3(1/3)​

Answer:

3645 rabbits after 6 months.

Step-by-step explanation:

The population of a rabbit colony triples each month.

This means that the population of the colony after t months is given by:

[tex]P(t) = P(0)(3)^t[/tex]

In which P(0) is the initial population.

The population started with 5 rabbits.

This means that [tex]P(0) = 5[/tex]

So

[tex]P(t) = 5(3)^t[/tex]

How many rabbits are there after 6 months?

This is P(6). So

[tex]P(6) = 5(3)^6 = 3645[/tex]

3645 rabbits after 6 months.

Answer:

The answer for thid equation is x = -5/3

Step-by-step explanation:

Since he sold $70,834 worth of cars, he earned an extra 5% commission on the sale. That means he got

0.05×($70,834) = $3,541.70

Therefore, his salary for the month m is

m = $2250 + 0.05s = $2,250 + $3,541.70 = $5,791.70

Answer:

5(-3)2-2(-3)+1. =5(9)+6+1. =​45+7 ... 7x – 6= 0). (3x + 2)(x – 3)=0. =3x + 2 = 0; x – 3 = 0. _486x 5 – 7x. 1 1 8 1 6​. uh this is hard..

Step-by-step explanation:

Answer:

option D

Step-by-step explanation:

Take the two through which the lines passes.

Let it be ( -5 , 0) and ( 0 , -3)

Step 1 : Find slope, m

     [tex]Slope,m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

                  [tex]= \frac{-3-0}{0--5} = \frac{-3}{5}[/tex]

Step 2 : Find the equation

      [tex](y - y_ 1) = m( x - x_1)\\\\( y - 0) = \frac{-3}{5} (x --5) \\\\y = -\frac{3}{5}( x + 5 ) \\\\y = -\frac{3}{5}x - 3[/tex]

Answer:

A

Step-by-step explanation:

Well I am not fully sure but I would say A

Answer:

C

Step-by-step explanation:

When ever a problem gives information about parallel lines, look for Alternate Interior angles.

Answer:

A

Step-by-step explanation:

Answer:

What is the height, radius or diameter of the cone?????

Answer:

35 degrees

Step-by-step explanation:

180-55-55=70

180-70=110

180-110=70

70/2=35

Property: All straight lines from the centre of a circle are the same length, hence the triangles are isoceles.

======================================================

Explanation:

Inscribed angle ABC = 55 subtends the minor arc AC which is 110 degrees (use the inscribed angle theorem).

The inscribed angle BDC subtends the minor arc CB, which we'll call x for now.

The two minor arcs (AC and CB) combine to form the arc ACB. Note how this is a semicircle since AB is a diameter. For any semicircle, the arc measure is 180 degrees.

So,

(arc AC) + (arc CB) = arc ACB

110 + x = 180

x = 180-110

x = 70

This cuts in half to 35 which is the inscribed angle BDC, again we're using the inscribed angle theorem here.

The range of the given function is - 2

9514 1404 393

Answer:

  4 hours 40 minutes

Step-by-step explanation:

The appropriate relation is ...

  time = distance/speed

  time = (3800 km)/(900 km/h) +(400 km)/(900 km/h) = (38+4)/9 h

  = 14/3 h = 4 2/3 h

Seema's flight time is 4 hours 40 minutes.

__

2/3 of 60 minutes is 40 minutes

Answer: hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.

Step-by-step explanation:

Your question isn't complete as you didn't provide the options. These are given above.

Based on the options, the calculation that would help them determine the most likely range of customers arriving for that meal is a hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.

Answer:

10

Step-by-step explanat

ion:  

Answer:

6

Step-by-step explanation:

work out the brackets first....4+8=12

the multiply 1/2 by 12

1/2 x 12 = 6

Answer:

80°

Step-by-step explanation:

So as you can see, the givin angle is 100°. So that must mean that angle DBF is 80° because they are supplementary angles. (Together they equal 180°) And sense the pair of lines are parallel, and x is the smaller angle so it is 80°.

Answer:i love you

Step-by-step explanation:

I do not know what you mean, but ok.

Answer:

The answer would be C: 140.

Step-by-step explanation & answer:

Conjugate = 5+3i

Multiply fraction by conjugate:

(15+9i+10i+6i^2) / (25-9i^2)

Simplify:

(15+19i+6i^2) / (25-9i^2)

i^2 is -1:

(15+19i-6) / (25+9)

So:

9+19i / 34

Into a +bi form:

9/34 + 19i/34

Answer:

Step-by-step explanation:

Answer: b. 180

Step-by-step explanation:

The sum of the angles of a triangle is 180°.

Step-by-step explanation: The sum of all the interior angles is always180°

Answer:

b = -7

Step-by-step explanation:

Let's solve your equation step-by-step.

−4 = 2(b + 5)

Step 1: Simplify both sides of the equation.

−4 = 2(b + 5)

−4 = (2)(b) + (2)(5)(Distribute)

−4 = 2b + 10

Step 2: Flip the equation.

2b + 10 = −4

Step 3: Subtract 10 from both sides.

2b + 10 − 10 = −4 − 10

2b = −14

Step 4: Divide both sides by 2.

[tex]\frac{2b}{2} = \frac{-14}{2}[/tex]

b = -7

Hope this helps, please mark brainliest if possible. Have a great day! :)

9514 1404 393

Answer:

  $13.67, Valdosta, Tallahassee

Step-by-step explanation:

The total sales tax rate in Valdosta is 4% +3% = 7%.

The total sales tax rate in Tallahassee is 6% +1.5% = 7.5%, which is 0.5% higher than in Valdosta. That percentage makes a difference in the final price of ...

  0.5% × $2734 = 0.005×$2734 = $13.67

Celeste will save $13.67 in sales tax if she makes her purchase in Valdosta rather than Tallahassee .

Answer:

y = 1/3x -1

Step-by-step explanation:

The slope is  y2 - y1 / x2 - x1

y2 is 1

y1 is -1

x2 is 6

x1 is 0

So it is 1 - (-1) / 6 - 0, or 2/6, or 1/3

The slope is 1/3.

The y-intercept is the place where x is 0. It shows the y-intercept here as

(0, -1),  The y-intercept is  -1

Slope form is y = mx + b. m is the slope, 1/3, and b is the y-intercept, -1

So the equation is: y = 1/3x -1

c) representing data with a histogram is an example of data organization

[tex]y > 2x \: y \: > \: 3 \: \\ solve \: for \: x \\ x \: € \: ( \frac{3}{2y} \: \frac{1}{2} )\: y > \: 3 \\ solve \: for \: y \\ y \: > \: \frac{3}{2x} \: x \: > \: 0 \: and \: x \: < \: \frac{1}{2} [/tex]

Answer:

39 feet

Step-by-step explanation:

p = 15 + 8 + 10 + 6

p = 39

39 feet

Answer:

(x+4)(x+6)

Step-by-step explanation:

(x^2+4x)+(6x+24)

x(x+4) 6(x+4)

(x+4) (x+6)

What you know about rollin' down in the deep?

When your brain goes numb, you can call that mental freeze

When these people talk too much, put that sh*t in slow motion, yeah

I feel like an astronaut in the ocean, ayy

What you know about rollin' down in the deep?

When your brain goes numb, you can call that mental freeze

When these people talk too much, put that sh*t in slow motion, yeah

I feel like an astronaut in the ocean