Complete the series: 3760, 1880, 360, 180, 45,?

Answers

Answer 1
The answer is 1 in the series

Related Questions

The sum of two numbers is 54 . the smaller number is 12 less than the larger number. what are the numbers?

Answers

Let x=one number and x+12= the other number.  Together the numbers=54.  Set up the equation:  x+x+12=54;  Combine the variables;  2x+12=54;  Subtract 12 from both sides of the equation;  2x=42; Divide both sides of the equation by 2;  x=21 is one number and 21+12=33 is the other number.  Check:  2(21) +12=54;  42+12=54;  54=54.

Which is heavier 9 5/8 pounds or 9 3/4 pounds

Answers

9 3/4 weighs more than 9 5/8 because 3/4 is larger than 5/8. You can draw this out if you like to see it visually, or you can divide 3 by 4 and 5 by 8 to see which is more! 5/8 = 0.625 while 3/4 = 0.75

Driving on the North West Express-way, Debbie averaged 62 miles per hour for 3 & one fourth hours. How far did she drive?

Answers

1/4 = 0.25

s0 3 1/4 = 3.25

62x3.25 = 201.50 miles = 201 1/2 if you need it in fraction form

Which algebraic expression represents “the difference of 54 and a number”?

Answers

For this case, the first thing we should do is define a variable.

We have then:

x: unknown number

Then, we write the algebraic expression that models the following problem:

the difference of 54 and a number.

We have then:

[tex]54-x[/tex]

Answer:

An algebraic expression that represents "the difference of 54 and a number" is:

[tex]54-x[/tex]

Answer:

A

Step-by-step explanation:

True or false the center of the circumscribed circle about a triangle is equidistant to the vertices of the inscribed triangle

Answers

The answer is TRUE!!!!!

Answer:

True

Step-by-step explanation:

Consider triangle ABC inscribed in the circle with center at point O. Point O is a point of intersection of perpendicular bisectors of sides AC, AB and BC. According to the attached diagram, points E, F and G are midpoints of sides BC, AC and AB, respectively.

Then

EB=EC;FC=FA;GA=GB.

Since segments OE, OF and OG are perpendicular bisectors of sides BC, AC and AB, then

m∠OBE=m∠OCE=90°;m∠OCF=m∠OAF=90°;m∠OBG=m∠OAG=90°.

You get three pairs of congruent triangles:

ΔOBE≅ΔOCE;ΔOCF≅ΔOAF;ΔOBG≅ΔOAG.

This gives you that

[tex]OB=OC=OA.[/tex]

Each of these segments is a radius of the circumscribed circle about a triangle ABC, then the center of the circumscribed circle about a triangle is equidistant to the vertices of the inscribed triangle.

Applying the distributive property, the expression becomes (3x)(–x) + (3x)(4) + (–5)(–x) + (–5)(4). What is the simplified product in standard form?

Answers

The answer is -3x^2 + 17x - 20.
(3x)(–x) + (3x)(4) + (–5)(–x) + (–5)(4)
= -3x^2 + 12x + 5x - 20
= -3x^2 + 17x - 20

hope it helps

if a radius of a circle is perpendicular to a chord, then it _____ that chord.

a. is equal in length to
b. bisects
c. is congruent to
d. parallels

Answers

If a radius of a circle is perpendicular to a chord, then it _bisects____ that chord.

What is radius of circle?

In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the latin radius, meaning ray but also the spoke of a chariot wheel.

What is chord?

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. The infinite line extension of a chord is a secant line, or just secant. More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse.

According to question, we have to fill in the blank.

The property of the circle is that if a radius of a circle is perpendicular to a chord, then it  bisects that chord.

Hence we can conclude that Option(B) is correct.

Learn more about chord of circle  here:

https://brainly.com/question/21686011?referrer=searchResults

#SPJ2

Final answer:

A radius of a circle that is perpendicular to a chord bisects the chord, dividing it into two equal segments.(Option b)

Explanation:

If a radius of a circle is perpendicular to a chord, then it bisects that chord. This statement is supported by a theorem in geometry which states that, in a circle, the radius bisecting an angle at the centre is perpendicular to the chord which subtends the angle and also bisects this chord. Therefore, by drawing a radius from the center of a circle to the midpoint of a chord, you create two equal segments, effectively bisecting the chord.

Thus, a perpendicular radius drawn from the center of a circle to a chord's midpoint ensures that the chord is bisected into two equal segments. This geometric principle facilitates chord division and enhances the understanding of circle properties.

A tea bag is shaped like a regular square pyramid. Each leg of the base is 4 cm, and the slant height is 5 cm. Find the VOLUME of the tea bag.

Answers

(16[tex] \sqrt{21} [/tex])/3
The volume of a pyramid is V=1/3Bh (One-third the area of the base times height). Since your pyramid has a square base, you have to find the area of the base, multiply it by the height, and then divide it by 3.

So, the area of the base is 4x4, which is 16, then you multiply it by the height, 5, and 16x5 is 80, and 80/3 is approximately 26.6

The answer would be 26.6 cm^3

I have 3 questions here , one of them I just need my answer checked on and the other two I really need help with. Thank you!!

Answers

Problem 1) 

The narrowest graph happens when the leading coefficient is furthest from 0. In this case, that happens to be 4 which is the coefficient in choice B. 

See the attached image "figure1" for the graph. The functions are color coded

y = -x^2 is in red

y = 4x^2 is in blue

y = (1/4)x^2 is in green (note: 1/4 = 0.25; so y = (1/4)x^2 is the same as y = 0.25x^2)

y = (1/9)x^2 is in purple (note: 1/9 = 0.11 approximately; so y = (1/9)x^2 is roughly the same as y = 0.11x^2)

As you can see in figure1, the blue graph corresponding to y = 4x^2 is the most narrowest. 

----------------------------------------------------------------------------------------------

Problem 2) 

See figure2 for the graph. The image is also attached along with figure1.

Figure2 shows a parabola that opens upward and the lowest point is at (0,2) which is the vertex. This point is shown in red as point A.

y = x^2+2 is the same as y = 1(x-0)^2 + 2. That second equation is in the form y = a(x-h)^2 + k where a = 1, h = 0, k = 2

So the vertex is (h,k) = (0,2). The fact that 'a' is positive (a = 1) indicates that the parabola opens upward and this implies the vertex is the lowest point.

Therefore the vertex (0,2) is the minimum

----------------------------------------------------------------------------------------------

Problem 3) 

You have the correct answer here. Nice work. 


Julio checked the temperature of a bag of frozen peas and found it was at −13°C. After he left the bag out of the freezer for an hour, its temperature rose to 8°C. What was the change in temperature in an hour?
a)−21°C
b)21°C
c)5°C
d)−5°C

Answers

The change is the difference final temperature less initial temperature.

ΔT = final temperature - initial temperature = 8°C - ( -13°C) = 8°C + 13°C = 21 °C.

So, the temperature raised 21 °C, and that is the change in temperature.

Answer: change = option b) 21°C.
The correct answer is option A



Rectangular prisms A and B are similar.
The edge of prism B is 3 times that of prism A. How many times the volume of prism A is the volume of prism B?

Answers

27 times smaller or 1/27 because 3^3 equals to 27.
[tex]\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &Sides&Area&Volume\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\ -----------------------------\\\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{let's say the edge of A is \underline{k} long, then B's is \underline{3k}} \\\\\\ \cfrac{A}{B}\qquad \cfrac{k}{3k}\implies \cfrac{1}{3}\implies \cfrac{s}{s}\qquad thus \\\\\\ \cfrac{A}{B}\qquad \cfrac{1}{3}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{1}{3}=\sqrt[3]{\cfrac{s^3}{s^3}}\implies \left( \cfrac{1}{3} \right)^3=\cfrac{s^3}{s^3}\implies \cfrac{1^3}{3^3}=\cfrac{s^3}{s^3} \\\\\\ \cfrac{1}{27}=\cfrac{s^3}{s^3}[/tex]

Write an equation for the translation of the function. y = cos x; translated 6 units up

Answers

it's just y= cos(x)+6

Answer:

[tex]y=cos(x)+6[/tex].

Step-by-step explanation:

We are asked to write an equation for the translation of the function [tex]y=cos(x)[/tex] to 6 units upwards.

Let us recall transformation rules.

[tex]f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}[/tex]

[tex]f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}[/tex]

[tex]f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}[/tex]

[tex]f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}[/tex]

Since we need to shift our given function 6 units upwards, so we will add 6 to our given function outside the parenthesis as:

[tex]y=cos(x)+6[/tex]

Therefore, our required equation would be [tex]y=cos(x)+6[/tex].

A quiz has 4 multiple-choice questions with 4 possible answer choices each. for each question, there is only 1 correct answer.a student guesses each answer at random. what is the probability of getting exactly 3 questions correct, to the nearest percent?(3 correct and 1 incorrect)

Answers

There are 4C3 ways of getting 3 out of 4 correct. This = 4.

The probability of getting  3 correct and 1 wrong in one of these ways is 
1/4 * 1/4 * 1/4 * 3/4  =  3/256

So required probability = 4 * 3/256  = 12/256  =  4.69 %   
5% to nearest percent.

Answer:    (quartered spinner)     (4)     (1/256)

The figure shows secant GC and tangent GB intersecting to form an angle. Find x and y If necessary, round to the tenths place.

Answers

Measure of arc DB = 58°. So ∠ C = 58° : 2 = 29°
Let`s look at the triangle: Δ GBC. GB is a tangent.
29° + 90° + y = 180°
y = 180° - 90° - 29° = 61°
Then ∠ B = 30° : 2 = 15°
In a triangle ΔADC :  ∠ A = 180° - ( 29° + 15° ) = 180° - 44° = 136°
x = 180° - 136° = 44°
Answer: x = 44°,  y = 61°

The value of y, calculated using the difference between the intercepted arcs, is 69.5° when rounded to the tenths place.

The figure provided depicts a circle with a secant (line GC) and a tangent (line GB) intersecting at point G, forming an angle. There are several angle measures given in the figure: angle ECA is 30°, angle ADB is 58°, and angle EAB is 161°. The angles x° and y° are what we need to find.

Here's how to find x and y:

1. To find x:

  - The angle formed by a tangent and a chord (GB and BA in this case) is equal to the angle in the alternate segment of the circle. Therefore, x is equal to the angle in the alternate segment, which is angle ADB (58°). So, x = 58°.

2. To find y:

  - The angle formed by a tangent and a secant (GB and GC in this case) from the external point G is equal to the difference between the measure of the intercepted arc (the large arc EAC) and the measure of the adjacent arc (the small arc EC). This can be calculated by the formula [tex]\( y = \frac{1}{2}(\text{large arc} - \text{small arc}) \).[/tex]

  - The large arc EAC is the full circle (360°) minus the small arc EBC (161°), so the measure of arc EAC is 360° - 161° = 199°.

  - The small arc EC is twice the angle ECA (which is an inscribed angle) because the measure of an arc is twice the measure of an inscribed angle that subtends it. So, the measure of arc EC is 2 * 30° = 60°.

  - Now we can calculate y using the formula: [tex]\( y = \frac{1}{2}(199 - 60) \).[/tex]

Let's calculate the exact values for x and y.

The value of x is equal to the angle ADB, which is 58°.

The value of y, calculated using the difference between the intercepted arcs, is 69.5° when rounded to the tenths place.

Therefore, [tex]\( x = 58 \) and \( y = 69.5 \).[/tex]

The cells of a certain culture of bacteria double every 6 minutes. If the culture contains 100 cells in the beginning, then the total number of cells P in this culture after t minutes is given by the exponential equation P = 100(2)t/6. Identify the number of minutes it will take for the number of cells to exceed 50,000.
A) 53 min
B) 49 min
C) 48 min
D) 54 min

Answers

Since the growth is exponential, therefore I believe the correct form of the equation is:

P = 100 (2)^(t / 6)

Where t / 6 is the exponent of 2

So to find for the amount of time needed to exceed the population of 50,000, all we have to do is to plug in that value in the equation and find for t. Therefore:

P = 100 (2)^(t / 6)

50000 = 100 (2)^(t / 6)

500 = 2^(t / 6)

log 500 = (t / 6) log 2

t / 6 = log 500 / log 2

t = 6 * 8.96578

t = 53.8 mins = 54 mins

 

Answer:

D. 54 min

What is -11-8-13(-10)? And how did you get you're answer

Answers

-11-8-13(-10)

First, multiply since multiplication goes before subtraction according to the order of operations.

-11-8+130

Then add and subtract from left to right.

-11-8= -19
-19+130=111

Final answer: 111

The perimeter of a rectangle is 276 centimeters. It's length is five times its width. What are the dimensions?

Answers

think of this this way
length = 5x
width = x
perimeter = 276
Its always easier to write down your givens in an equation

5x + x + x + 5x = 276
12x = 276
x = 23

The width is 23 cm
The length is 115 cm

The sum of two numbers is 33. Twice the first number minus the second number equals 18. Find both numbers.

Answers

We can call the two numbers x and y. Then, x + y = 33, and 2x - y = 18. We can use substitution to solve this problem:

y = 33 - x 

SO

2x - 33 + x = 18

3x = 51

x = 17

Now, we know x. We can use this to find y:

x + y = 33

17 + y = 33

y = 16

So, the numbers are 16 and 17. 

The both numbers are = 17 and 16

Solving for the unknown numbers

The sum of two numbers = 33

Let the two numbers be X and y.

therefore X + y = 33 ----> equation 1

Twice the first number minus the second number= 18.

That is,

2x - y = 18 -----> equation 2

From equation 1 make X the subject of formula;

X = 33 – y

substitute X into equation 2,

2(33 – y) - y = 18

66 – 2y – y = 18

66 – 3y = 18

66 – 18 = 3y

48 = 3y

y = 48/3

y = 16

Substitute y = 16 into equation 1

Therefore, X +16 = 33

X = 33 –16

X = 17

Therefore, he both numbers are = 17 and 16

Learn more about summation here:

https://brainly.com/question/14322177

In 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg

Answers

ok so the ratio is 1:1

Answer: it’s 1:1

Step-by-step explanation:

Bryce is testing whether school is more enjoyable when students are making high grades. He asked 100 students if they enjoyed school and whether their GPA was above or below 3.0. He found that 33 of the 40 students with a GPA above 3.0 reported that they enjoyed school, and 5 of the 60 students with a GPA below 3.0 reported that they enjoyed school. What is the probability that a student with a GPA below 3.0 does not enjoy school?
85%
92%
65%
75%

Answers

Since 5 people do, you can do 60-5 which is 55. You then solve this equation:

55/60 which is 0.916666666666 
This is rounded to 92%! :)

Answer:

The answer is 92%.

Step-by-step explanation:

5 of the 60 students reported that they like school. This means that the other 55 don't like school. You then divide 55/60 and you get 92%. So, therefore, your answer is 52%.

(05.05)What is the rate of change of the linear relationship modeled in the table?



x y
1 2
3 5
5 8
7 11

negative three over two
two over three
one
1 three over two

Answers

(1,2)(3,5)
slope (rate of change) = (5 - 2) / (3 - 1) = 3/2 <==

Answer:  three over two

Step-by-step explanation:

We know that the rate of change of a function [tex]y=f(x)[/tex] is given by :-

[tex]k=\dfrac{\text{change in y}}{\text{change in x}}[/tex]

From the consecutive values in the table, the change in x = [tex]3-1=2[/tex]

Change in y = [tex]5-2=3[/tex]

Now, the rate of change of the linear relationship modeled in the table will be ;-

[tex]k=\dfrac{3}{\text{2}}[/tex]

At the middle school graduation dance, the DJ played 12 slow dances, which was equal to the quotient of the number of fast dances and two.

Answers

quotient means divide

 so 12 = x/2

x = 12*2 = 24

 x =24 fast songs

Find the area of the larger regular pentagon if the smaller pentagon has an area of 43.01 inches^2. The side length of the small pentagon is 5 and the side length of the large pentagon is 8.

Answers

110.11 is the answer.

The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(4)=64

Answers

check the picture below.

Find the area of a sector that has a central angle of 40 and a radius of 2 cm. Round your answer to the nearest 100th. Use 3.14=

Answers

I think the answer is around 1.4 as you need to multiply the area by 1/9 after finding the real area. 

20 POINTS, PLEASE HELP ASAP!!!!

Answers

Question b)

17 minutes ⇒ 1 revolution = 2π
1 minute ⇒ 2π/17

Angle of rotation is 2π/17 per minute

Question c)

The period of the rotation is 2π/17 

The wheel starts rotating from the height of 5 meters from the ground and the maximum height is 125 meter from the ground.
The amplitude is 125 - 5 = 120 ÷ 2 = 60

The midline of the rotation is at 125 - 5= 120 ÷2 = 60 + 5 = 65 (this is the location of the centre of the wheel). This value is a shift of 65 from the zero midlines (which in this case would be the ground)

Question C

The movement of the wheel can be described as starting from 0° then reaching its peak at 180° and come back to its original position as it stops and it makes a complete circular turn 360°.

If we sketch this on a graph, we will obtain a curve of -cos(x)

We need to apply the period, the amplitude and the shift produced by this rotation into the equation [tex]y = -cos(x)[/tex]

The period is [tex] \frac{2 \pi }{7} [/tex] ⇒ [tex]f(t)=-cos( \frac{2 \pi }{7}t) [/tex]
The amplitude of 60 ⇒ [tex]f(t)=-60cos( \frac{2 \pi }{7}t) [/tex]
The shift of the midline by 65 units upwards ⇒ [tex]f(t) = -60cos( \frac{2 \pi }{7}t)+65 [/tex]

The final equation is
[tex]f(t) = -60cos( \frac{2 \pi }{7}t)+65 [/tex]

and the graph is shown in the third picture below

The cells of a certain culture of bacteria triple every 2 minutes. If there are 40 cells in the beginning, in how many minutes will there be more than 9500 cells?
A) 4 min
B) 5 min
C) 11 min
D) 10 min

Answers

Answer:             10 min

Step-by-step explanation:

Final answer:

The bacterial culture that triples every 2 minutes will surpass 9500 cells just after 10 minutes. Since we cannot have a fraction of a minute in this context, the answer is 11 minutes (Option C).

Explanation:

The student is asking about exponential growth, specifically in a bacterial culture that triples every 2 minutes. To find out how many minutes it will take for the initial 40 cells to grow to more than 9500, we can use the formula for exponential growth:

N = N0 × 3t/2

Where N is the final number of cells, N0 is the initial number of cells (40 in this case), and t is the time in minutes.

We want N to be greater than 9500, so we solve the inequality:

9500 < 40 × 3t/2

Dividing both sides by 40 gives:

237.5 < 3t/2

Next, we find the smallest t for which the inequality holds by applying logarithms and solving:

t > 2 × (log3(237.5))

Calculating the right side, we get:

t > 10.096

So, the culture will have more than 9500 cells just after 10 minutes. The smallest whole number of minutes greater than 10.096 is 11, hence the answer is: C) 11 min

If there are 52 ounces of cereal in 2 boxes, how many ounces are there in 5 boxes?

Answers

52/2 = 26 ounces of cereal in 1 box
26 * 5 = 130 ounces of cereal in 5 boxes

Answer:

If there are 52 ounces of cereal in 2 boxes, how many ounces are there in 5 boxes?

Step-by-step explanation:

If we have 52 ounces in 2 boxes, in 1 box we have: 52/2 = 26 ounces.

If we have 5 boxes and 26 ounces in each, we have: 5 x 26 = 130 ounces in total.

Please help me !!!!!!!!

Answers

It's C the missing side is 9 units long so since cosine is adjacent divided by hypotenuse it would be 9/41
41^2 - 40^2 = 1681 - 1600 = 81

side xy = square root 81 = 9

cosine(X) = Adj / Hypo
cosine(X) = 9/41
answer
C. 9/41

Solve 2x + 5y = −13
3x − 4y = −8

Answers

2x+5y=-13
3x-4y=-8

Rearrange the first equation to solve for x in terms of y. This will be needed to apply the substition method.

2x+5y=-13
2x=-5y-13
x=-5/2y-13/2

Now plug this in for x in the second equation.

3(-5/2y-13/2)-4y=-8
-15/2y-39/2-4y=-8
-23/2y-39/2=-8
-23/2y=11.5
y=-1

Now plug this y value in to one of the original equations.
2x+5(-1)=-13
2x-5=-13
2x=-8
x=-4

Final answer: (-4,-1). <=============

To check:

2(-4)+5(-1)=-13
-8+5(-1)=-13
-8-5=-13
-13=-13
True

3(-4)-4(-1)=-8
-12-4(-1)=-8
-12+4=-8
-8=-8
True
Other Questions
What is the best translation for the following sentence?The Asian figurines are smaller than the Mexican dolls.Las figuritas de Asia son menos grandes que las muecas de Mxico.Las muecas de Mxico son ms pequeas que las figuritas de Asia.Las figuritas de Asia son menos pequeas que las muecas de Mxico. The hypotenuse of a right triangle is 3 times as long as the shorter leg. find the measure of the angle between the shorter leg and the hypotenuse A government wants to reduce electricity consumption by 5%. the price elasticity of demand for electricity is minus0.5. the government must ________ the price of electricity by ________. Nine cards numbered 1-9 are flipped upside down. What is the probability of flipping up an even number? solve for 15 pointsIt was the first day of school when a young girl was found dead in the classroom. Police had identified four suspects.The Dean claimed that he was in his office the whole day. The Maths teacher claimed that she was giving the midterm exam results to her students. The clerk claimed that he was bringing the mails. The janitor claimed that he was cleaning the toilet on the first floor.Who was lying? One of the unusual features of a map of african languages is the: significant numbers of hebrew speakers in gabon existence of a language in madagascar belonging to the indonesian subfamily very small number of african languages, despite ethnic differences inroads that spanish has made in becoming the language of trade in africa Draw a model to represent the problem 6/12 divided by 1/4 What do.these headlines demonstrate PLEASE HELPP "apply quickselect to find the median of the list of numbers 9, 12, 5, 17, 20, 30, 8." You deposit $70 in a savings account that pays an annual interest rate of 30%. How much simple interest would you earn in 2.5 years? A(n) _______________ strategy is a competitive strategy by which a firm develops unique products or services from those of its competitors, or makes radical business changes that may alter the fundamental nature of the industry. Which statement best describes the skier? The skier has potential and kinetic energy. The skier has only potential energy. The skier has only kinetic energy. The skier does not have potential or kinetic energy. Like you, I accepted the Copernican position several years ago. . . . I have written up many of my reasons and refutations on the subject, but I have not dared until now to bring them into the open, being warned by the fortunes of Copernicus himself, our master, who procured immortal fame . . . , only to be derided and dishonored. I would dare publish my thoughts if there were many like you; but, since there are not, I shall forebear. Why is Galileo reluctant to share his discoveries? He thinks his discoveries have come too late. He has been told by Copernicus to keep his ideas secret. He does not want to be mistreated like Copernicus was. He thinks enough other people share his beliefs. True or false. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes. What are three important qualities of a good interview question What do all wetlands have in common? A.They have strong winds. B.They protect nearby land from flooding. C.They are swamps. D.They suck up all the nutrients in the soil. Increasing the government budgetary surplus or decreasing the deficit is desirable in a period of? If you had the condition phenylketonuria, which should you not use? A solution of phosphoric acid has a boiling point of 158 degrees Celsius. What is the boiling point of the solution in degrees Fahrenheit? what did the Philippines need to do before assuming independence Steam Workshop Downloader