Evaluate. Round your answer to the nearest thousandth.
log4 ^21

Answer:

8 ( x  −  7 )  ( x  +  4 )

Step-by-step explanation:

You could make 9 wholes with that and there would be 2 thirds left over.

To solve it you would just have to divide 29 by 3 which would give you 9 and leave you with 2 thirds left.

Answer:

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]

Step-by-step explanation:

Given

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)[/tex]

Required

Simplify

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2).[/tex]

Expand brackets

[tex]2\sqrt{5}(3\sqrt{5}+2). - 4(3\sqrt{5}+2).[/tex]

Open each bracket

[tex]2\sqrt{5}*3\sqrt{5}+2\sqrt{5}*2 - 4*3\sqrt{5}-4*2[/tex]

[tex]6 * 5 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]

[tex]30 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]

Collect Like Terms

[tex]- 8+30 + 4\sqrt{5} - 12\sqrt{5}[/tex]

[tex]22 - 8\sqrt{5}[/tex]

Hence:

[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]

Answer: Length: 24

Step-by-step explanation:

Answer:

I think its 32.4

Step-by-step explanation:

324/30=10.8

10.8*3=32.4! Hope this helped!! :)

Answer:

Mean = 60

Median = 56

Mode = 48

Range = 32

Step-by-step explanation: You can find the Mean by adding all the number together then dividing by how many number in the problem. So, 48 + 64 + 80 + 48 = 240 then, divide by 4, which is how many numbers are in this equation.  You can find the Median by putting the numbers in the equation in order, 48, 48, 64, 80. Then, you will find what number is in the middle, or look at it as for the number in the middle to have the same amount of numbers on each side. So, in this case 48 and 64 are in the middle. There are two numbers in the middle instead of one, so you have to add them together to get 112 then divide by 2, because it is how many numbers you added together. You can find the Mode by seeing what number occurs the most, which in this case is 48, it appears two times. Sometimes, there will be no mode. You can find the Range by putting the numbers in order and subtracting the highest amount from the lowest amount, which in this case is 80 - 48 = 32. Hope this helps ^-^

Answer:

y=mx+b

Step-by-step explanation:

I took the test :)

Answer:

y = -2x + 2

Step-by-step explanation:

Plug in the point and slope into y = mx + b, and solve for b:

y = mx + b

-2 = -2(2)  + b

-2 = -4 + b

2 = b

Plug in the slope and y intercept into y = mx + b

y = -2x + 2

So, the equation is y = -2x + 2

Answer:

a to u

Step-by-step explanation:

Answer:

Well, I usually multiply this which would be 15 x .2 which would equal the tip.

Step-by-step explanation:

Answer: 0

Step-by-step explanation: -8+8=0

Answer:

0

Step-by-step explanation:

So if you have -8 and 8 and you add them together they cancel out each other and make 0

Answer:

Gather

Step-by-step explanation:

Answer: Gather

Hope this helps!

Step-by-step explanation:

180 Degree Rotation

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y)

Answer:

Dan is recycling equal weight of printers and monitors.

Step-by-step explanation:

Let,

x be the number of printers

y be the number of monitors

According to given statement;

x+y=60      Eqn 1

25x+35y=1750   Eqn 2

Multiplying Eqn 1 by 25

25(x+y=60)

25x+25y=1500    Eqn 3

Subtracting Eqn 3 from Eqn 2

(25x+35y)-(25x+25y)=1750-1500

25x+35y-25x-25y=250

10y = 250

Dividing both sides by 10

[tex]\frac{10y}{10}=\frac{250}{10}\\y=25[/tex]

Putting y=25 in Eqn 1

x+25=60

x=60-25

x=35

Weight of printers = 35*25 = 875 lb

Weight of monitors = 25*35 = 875 lb

Therefore,

Dan is recycling equal weight of printers and monitors.

Answer:

[tex]P(t) = (2t + 50)^2[/tex]

Step-by-step explanation:

A certain population increases at a rate proportional to the square root of the population.

This means that the population can be described by the following differential equation:

[tex]\frac{dP}{dt} = r\sqrt{P}[/tex]

In which r is the growth rate.

Solving by separation of variables, we have that:

[tex]\frac{dP}{\sqrt{P}} = r dt[/tex]

Integrating both sides:

[tex]2\sqrt{P} = rt + K[/tex]

In which K is a random constant

[tex]\sqrt{P} = 0.5rt + K[/tex]

Finding the squares of both sides:

[tex]P(t) = (0.5rt + K)^2[/tex]

Finding the value of K

The initial population is of 2500. That is, when [tex]t = 0, P = 2500[/tex]. So

[tex]P(t) = (0.5rt + K)^2[/tex]

[tex]2500 = (0.5r(0) + K)^2[/tex]

[tex]K^2 = 2500[/tex]

[tex]K = \sqrt{2500}[/tex]

[tex]K = 50[/tex]

So

[tex]P(t) = (0.5rt + 50)^2[/tex]

Finding the value of r

Population of 3600 in 5 years(when t = 5). So

[tex]P(t) = (0.5rt + 50)^2[/tex]

[tex]3600 = (0.5r(5) + 50)^2[/tex]

[tex](2.5r + 50)^2 = 3600[/tex]

Taking the square root of both sides

[tex]\sqrt{(2.5r + 50)^2} = \sqrt{3600}[/tex]

[tex]2.5r + 50 = 60[/tex]

[tex]2.5r = 10[/tex]

[tex]r = 4[/tex]

So, the equation for the population at the end of t years is given by:

[tex]P(t) = (0.5rt + 50)^2[/tex]

[tex]P(t) = (0.5(4)t + 50)^2[/tex]

[tex]P(t) = (2t + 50)^2[/tex]

Answer:

he will have $3623.85 after 3 years.

Answer:

b

Step-by-step explanation:

Answer:

2.19

Step-by-step explanation:

Answer:

2.19

Step-by-step explanation:

Answer:

negative 3.08

Step-by-step explanation:

Answer:

L - W = 2 and 2L + 2W = 68

Step-by-step explanation:

The two equations here are going to be-

Length minus width equals 2

L - W = 2

And

Length x 2 + Width x 2 = 68

2L + 2W = 68

5) the line goes diagnol right throuh the zero from the bottom left corner to the top right.

6) straight line across 3 (3,0)

7) straight line across -2 (-2,0)

8) its a open dot on 1 with the line going right

9) ok so they are both intercecting im pretty sure its a no solution tho

Answer:

10 pages per hour

Step-by-step explanation:

3*10=30

have a wonderful night:)

Answer:

The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.

Step-by-step explanation:

Given the survey, the prevalence of the flu, as a percentage, is given by:

Number of individuals diagnosed with flu, multiplied by 100, and divided by the size of the sample.

In this question, we have that:

Sample of 25,000, and 4,250 of those had been diagnosed with the flu at some point in the past year. So, the prevalence of the flu is given by:

[tex]\frac{4250*100}{25000} = 17[/tex]

The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.

Answer: A and D thanks for th 25 pts

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

678182829jijsjsjsjsjskskwkdkw

Area of the given figure is 199.5 square miles.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

The given figure can be divide in to smaller figures to find the area of each smaller figure and add it.

A rectangle with sides 5 miles and 3 miles.

A rectangle with sides 15 miles and 6 miles.

A rectangle with sides (8 - 5) + 6 = 9 miles and 3 miles.

A triangle with base length 9 miles and height 8 + 6 + 3 = 17 miles.

Area = (5 × 3) + (15 × 6) + (9 × 3) + (1/2 × 9 × 17)

        = 15 + 90 + 18 + 76.5

        = 199.5 square miles

Hence the area of the given figure is 199.5 square miles.

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Answer:

b. 12.2 months

A percentage is a way to describe a part of a whole. The correct option is B.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the colony of 100,000 ants has been declining in number at a rate of 11.4% per month. Therefore, the number of months it will take for the ant population to reach 25,000 ants is,

Population = 100,000(1-0.114)ⁿ

25,000 = 100,000(1-0.114)ⁿ

0.25 = 0.886ⁿ

log(0.25) / log(0.886) = n

n = 11.45335

Since the value is close to 12.2 months.

Hence, the correct option is B.

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Answer:

wow i have never seen that instrument before.

Step-by-step explanation:

Answer:

Fraction:

- 2 over 3

Decimal: -0.66666666

(- Repeating Decimal-)

Step-by-step explanation:

Answer:

D 0.048

Step-by-step explanation:

Answer:

0.048

Step-by-step explanation:

0.048 is the correct answer but I don't see that choice.