please help me with this math

Answer:

π(36x^2 - 120x + 100)

Step-by-step explanation:

4π(3x - 5)^2 = 4π[(3x)^2 - 2*3x*5 + 5^2] = 4π(9x^2 - 30x + 25)

= π(36x^2 - 120x + 100)

Answer:

(100 ft^2) / (75 people) is a ratio:  1.3333... ft^2/person

Step-by-step explanation:

There are 75 people in a 100 square foot area.  The amount of space (floor space) is (100 ft^2) / (75 people) = 1 1/3 square feet.

(100 ft^2) / (75 people) is a ratio:  1.3333... ft^2/person

Answer:

132<156<168 or 12×1, 12×2 ...

Step-by-step explanation:

Jimmy's 24cm taller than Lya, and Kessie's 12cm taller than Jimmy

Answer:

x= - 64/5

Step-by-step explanation:

1- Substitute y = 0

2- Multiply both sides

3- Move the variable to the left

4- Divide both sides

Answer:

y = -5x + 9

Step-by-step explanation:

Slope-intercept form is the form

y = mx + b

So you need to rearrange the terms to get the y all by itself on the left. On the right, the x term goes first and last the constant (a plain number) see image.

the model is using "t" as years after 2003, if we want to know the population in that country using that model at year 2003, then "t" must be 0, when t = 0, that's the initial population for that model.

[tex]A=920.2e^{0.005t}\implies A=920.2e^{0.005(0)}\implies A=920.2(1)\implies A=920.2[/tex]

Answer:

Answer:

The prime polynomials are

x² + 9

x² + 3x + 9

Step-by-step explanation:

Answer:

29 inches

Step-by-step explanation:

Answer:

Use Pythagoras' Theorem:

c²=a²+b²

c²=20²+21²

c²=841

c=√841

c=29 inches

Step-by-step explanation:

Answer:

In 11 weeks they will both be 162lbs each

Step-by-step explanation:

Answer:

1175/954 there your answer

Answer:

18.8 years

Step-by-step explanation:

8% of $2000 = $160

To be worth $5000, the painting need to rise by $3000
And every year it rise by $160, so it will need 3000 : 160 = 18.75 (round to 18.8) years.

Answer:

d = 50

Step-by-step explanation:

30 = 5 + 0.5d ( subtract 5 from both sides )

25 = 0.5d ( divide both sides by 0. 5 )

50 = d

Answer:

Step-by-step explanation:

Find the amount of change in both cases and convert the change into percentage, then compare final results.

1. Riddington

Change:

Percent change:

2. Greenwick

Change:

Percent change:

As we see 50% > 40% so this proves the statement.

Answer: r=2.69. Calculate the radius of circle:Round the number: r=2.69Answer: r=2.69

Answer:

  ln(x)/2 -3.810930

Step-by-step explanation:

The relevant rules of logarithms are ...

  ln(ab) = ln(a) +ln(b)

  ln(a^b) = b·ln(a)

  ln(a/b) = ln(a) -ln(b)

  ln(e) = 1

__

Your expression expands to ...

  [tex]\ln\left(\dfrac{4\sqrt{x}}{9e^3}\right) = \ln(4\sqrt{x})-\ln(9e^3)=\ln(4)+\dfrac{1}{2}\ln(x)-(\ln(9)+3\ln(e))\\\\=\dfrac{1}{2}\ln(x)+\ln(4)-\ln(9)-3\\\\\approx\dfrac{\ln(x)}{2}-3.810930[/tex]

Answer:

See below.

Step-by-step explanation:

42.32

+8.41

50.73

-hope it helps

Answer:

      50.73

Step-by-step explanation:

  8.41

42.32

+_________

      50.73

Hope this helps! Have a great day!!

Answer:

y = 14

Step-by-step explanation:

If the line is horizontal, it will always have the ssame value of y for all values of x.  Therefore, y = 14.

Answer:

0.66 cups of cranberry juice is needed to make 1 gallon of punch

Step-by-step explanation:

2 / 3 = 0.66

i hope this helped! have a wonderful rest of your day :)

Answer:

3 Not too sure though

Step-by-step explanation:

don't input my answer, i'm not too sure!

Answer:

Yes

Step-by-step explanation:

Answer:

-566

Alternative form:

-5.66 x [tex]10^{2}[/tex]

Answer:

tan(47)=53/z

Step-by-step explanation:

Using trig ratio tan(x)=O/A

there x is the angle of elevation, O is the side opposite the angle (the lighthouse) and A is the side adjacent the angle (distance between boat and bottom of lighthouse)

Therefore, tan(47)=53/z

[tex]\\ \tt\hookrightarrow tan47=\dfrac{H}{B}[/tex]

[tex]\\ \tt\hookrightarrow tan47=\dfrac{53}{B}[/tex]

[tex]\\ \tt\hookrightarrow B=\dfrac{53}{tan47}[/tex]

Answer:

(A) The unshaded octagon is a reflection because it is a flip over a diagonal line.

Step-by-step explanation: Trust, rust, and pixie dust

Answer:

A is correct

The unshaded octagon is a reflection because it is a flip over a diagonal line.

i took the test

Answer:

LN=4.33

MN=5

Step-by-step explanation:

sine 60

Answer

1hr/15 mins=60 mins/15 mins=4 minutes.

Step-by-step explanation:

[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\stackrel{\textit{first term}}{-3}\\ r=\stackrel{\textit{common ratio}}{6} \end{cases}[/tex]

[tex]\stackrel{S_n}{-4665}~~ = ~~-3\left( \cfrac{1-6^n}{1-6} \right)\implies -4665=-3\left( \cfrac{1-6^n}{-5} \right) \\\\\\ -4665=\cfrac{3}{5}(1-6^n)\implies -4665\cdot \cfrac{5}{3}=1-6^n\implies -7775=1-6^n \\\\\\ -7776=-6^n\implies 7776=6^n\implies 6^5=6^n\implies \boxed{5=n}[/tex]

Answer:

  5 terms

Step-by-step explanation:

The attached table shows that the sum of 5 terms is -4665.

__

Additional comment

A table for a problem like this is easily made using a spreadsheet. Each value is 6 times the previous, and each sum is the new value added to the previous sum. The first value and the first sum are -3.

In the attached, we have simply summed the terms, each term being computed using the explicit formula for this geometric sequence.

Answer:

Step-by-step explanation:

Answer:

21 is the answers to your question

cos 0 = 1/6

1 - cos²0 = sin²0

sin²0 = 35/36

in quadrant IV (4) the cos is positive sin is negative.

sin0 = - √35/6