unowen

An equilateral triangle, ABC, has two of its vertices, A and B, below the x-axis; has the third vertex C above the x-axis, and contains the points (0,0) on segment AC, and (0,1) on segment BC. How long is the path traced out by all possible points C to tw...

8 years ago

An interplanetary probe speeding in deep space suddenly needs to make a left turn. It is presently traveling at v=20000 m/s , and needs to make a quarter circle turn, continuing at the same tangential speed. It is equipped with an ion thruster rocket capa...

8 years ago

A solid right circular cone of uniform mass density is initially at rest above a body of water so that its vertex is just touching the waters surface with its axis of symmetry along the vertical. Now, the cone falls into the water, and has zero speed at t...

8 years ago

Robin Hood is known for stealing from the rich to give to the poor. He finds himself surrounded by some angry noblemen who demand he return their gold chest. Outnumbered, he takes an arrow from his quiver and fires it straight into the air, scattering the...

8 years ago

2x is a perfect square, 3x a perfect cube, and 5x a perfect 5th power. Find the sum of the exponents in the prime factorization of the smallest such positive integer x. Thank you.

8 years ago

find the focus of x^2+4y^2+2x+24y++28=0. Thank you

8 years ago

The positive number X is divisible by 42, and is composed of only 1s and 0s when written in base 10. What's the smallest number that X might be?

8 years ago

A right triangle has vertices on a grid at (0,0), (8,0), and (8,6). There is a point on the hypotenuse, (4,3), made up of integers. The question is: If the corners of the triangle were instead at (0,0), (1200,0), and (1200,1000),how many dots from the gri...

8 years ago

What is the maximum number of pieces you can divide a circular pizza into with 4 cuts? [All cuts must be distinct straight lines from one point on the edge of the pizza to another point on the edge of the pizza, and you may not move the pizza slices.]

8 years ago

If you wrote down at all whole numbers from 1 to 1000... 1,2,3,4,5....999,1000 ...which digit would appear the least?

8 years ago

Robin Hood has to shoot an arrow at an apple that sits on a wall 400 meters away, at a height of 40 meters. He must shoot at an angle of 60 degrees. What must the initial velocity of the arrow be to hit the target? Assume he's shooting laying down on the...

8 years ago

An archer lying on the ground shoots an arrow at a target that is 400 meters away, and 40 meters high. The initial velocity of the arrow is 120 m/s At what angle does he need to point his bow in order to hit the target? (Assume the value of g as -9.81 m/s...

8 years ago

Which takes up more space: A single circle inscribed in a triangle, touching each side at a single point? Or, four identical circles, with 3 of them touching the center circle, and those same 3 touching one point each on the three sides of the triangle???...

8 years ago

You have two coins that look identical, but one of them is fair and the other is weighted. The weighted coin has a 3/4 chance of flipping heads and a 1/4 chance of flipping tails. Unfortunately, you've forgotten which coin is which! You decide to keep fli...

8 years ago

A unit cube with side lengths of 1 unit is cut into cuboids with heights of 1/2, 1/3, and 1/6 units, respectively. The pieces are then placed adjacent to each other to form a staircase. The total surface area of the original unit cube was 6 units. What is...

8 years ago

You have a pile of 1 x 2 unit dominoes. There's one way to tile a 1x2 area, 2 ways to tile a 2x2 area, 3 ways to tile a 3x2 area, and 5 ways to tile a 4x2 area. How many ways are there to tile a 5x2 area with your 1x2 domino tiles?

8 years ago

What is the maximum number of coins that can be placed on squares in an 8x8 chessboard such that each row, each column, and each long diagonal contains at most 4 coins? (Note: Only 1 coin is allowed per square.)

8 years ago

Find the sum of primes p such that p²+11 has exactly six different positive divisors (including 1 and the number itself).

8 years ago

There are 100 people in line to board a plane with 100 seats. The first person has lost their boarding pass, so they take a random seat. Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat. What...

8 years ago

A group of students decide to attend a concert. The cost of renting a bus to take them to the concert is $450, which is to be shared equally among the students. The concert promoters offer discounts to groups arriving by bus. Tickets normally costs $59 ea...

8 years ago

On a certain island there live only knights, who always tell the truth, and knaves, who always lie. One day you find 10 island natives standing in a circle. Each one states: "Both people next to me are knaves!" Of the 10 in the circle, what is the minimum...

8 years ago

The values A,B,C, and [(A/B)+C], are all integers which are divisible by 3. Then, which of the following statements must be true: A is divisible by 9 B is divisible by 9 C is divisible by 9 A and B are both divisible by 9 A,B,and C are all divisible by 9...

8 years ago

You have a calculator with 4 buttons.They can multiply the current value shown on the calculator by 2, divide the current value by 3, add 5 to the current value, or subtract 7 from the current value. If the screen starts at 6, what is the fewest button pr...

8 years ago

40 matchsticks are arranged to form a 4 by 4 grid of 16 smaller squares. What is the fewest number of matchsticks that need to be removed so that there are no squares (of any size) remaining?

8 years ago

40 matchsticks are arranged to form a 4 by 4 grid of 16 smaller squares, 4 matchsticks to a small square. What is the fewest number of matchsticks that need to be removed so that there are no squares (of any size) remaining?

8 years ago

Suppose we are given an arbitrary form for the acceleration a(t) of a particle that starts from rest at r(t_i)=0. What would be the derivation of its' position at r(t_f): a)(t_f - t_i)⌠t_f a(t)dt ⌡t_i b) v(t_f)+v(t_i)/2 ((t_f-t_i)) c)⌠t_f dt ⌠t dt'a(t') ?...

8 years ago

Sara needs to needs to trek from an oasis to a destination 10 miles away across a barren desert. However, she finds herself dealing with the following limitations: a) Crossing one mile of desert requires using 1 gallon of water. b) She can only carry 6 ga...

8 years ago

An ice-cream store has exactly 6 flavors of ice-cream. Each of 6 friends likes exactly 4 flavors. Is there guaranteed to be a flavor which at least 4 friends like?

8 years ago

Amy and Blake are each dealt two cards from a standard, 52-card deck. Amy's cards are known, Blake's cards are unknown. In which of these two scenarios is it MORE LIKELY that Blake has a pair: A) Amy: Queen Queen Blake: face down, face down B) Amy: Queen...

8 years ago

Ali and Zoe reach into a bag that they know contains nine lottery balls numbered 1-9. They each take one ball out to keep and they look at it secretly. Then, they make the following statements, in order: Ali: "I don't know whose number is bigger." Zoe: "I...

8 years ago

For how many different pairs of numbers, a and b, are the following equalities true: a+b=a*b=a/b ??????? Thank you for your help.

8 years ago

What is the least number of unit squares that you need to remove from a 5 by 3 checker board in order to make it impossible for anyone to put an "X" in 3 remaining squares to make a connected vertical, horizontal, or diagonal set of 3 (a set that looks li...

8 years ago

There are 10 coins, 5 of which are heads up and 5 of which are tails up. On each turn, you choose exactly 3 coins and flip them over. What is the minimum number of turns needed to make all of the coins heads up?

7 years ago

Rob is 21 years old, angie is twice as old as Rob was when Angie was old as Rob is now, how old is angie?

7 years ago

A rectangular box of length 2/3m is initially traveling at 2 m/s with its entire length over a smooth (perfectly frictionless)surface .The box gradually moves onto a rough surface and stops the instant that its entire length is positioned within the rough...

7 years ago

The pyramid of integers above is constructed in such a way that each "father" has exactly 3 "children": 1>2,3,4 2>5,6,7 3>8,9,10 4>11,12,13 5>14,15,16 6>17,18,19 . . . What number is the father of 2017?

7 years ago

Calculate the sum of the series: π²/3!-π^4/5!+π^6/7!-π^8/9!+π^10/11!....

7 years ago

"screenshots<dot>firefox<dot>com/8POFA7yOO7VQ1QGz/null"

7 years ago

Solve for x: (2e^2x)-(7e^x)=15

7 years ago

Please reference the following picture for this question: screenshots<dot>firefox<dot>com/V57wh6MYWUXfnx5M/brilliant<dot>org Initially, the U-tube shown above is filled with water, and the level on each side is l0. After some oil is poured on side A, the...

7 years ago

Please refer to the following photo to answer this question: screenshots<dot>firefox<dot>com/0F0pXhMjyyk0fnnP/brilliant<dot>org A kite is divided into four regions by two line segments that connect the midpoints of opposite sides. Is the total blue area e...

7 years ago

Find the smallest positive integer which ends in 17, is divisible by 17, and whose digits sum to 17.

7 years ago

1,2,3,4,5 These five numbers are written on a whiteboard. You start with a score of 0. You pick two numbers, add their positive differences to your score, and erase your choice of one of the two numbers. This process is repeated until there is only one nu...

7 years ago

Please reference the illustration at screenshots<dot>firefox<dot>com/Cl7zsk8ZAmzCoMDM/brilliant<dot>org to answer the following question: The Pharaoh would like to cover the lateral sides of his square pyramid with the finest marble. In order to save the...

7 years ago

Consider ann equilateral triangle, a circle, and a square that all have equal areas to each other. Which one would have the largest perimeter?

7 years ago

x is a positive integer such that the sum of its digits times 5 equals itself. What is x?? For example, 32 does not qualify because (3+2)x5=25, not 32. Prove there is only one possible value for x

7 years ago

Philip forms three equal portions of leftover mashed potatoes into three shapes: a cube, a sphere, and a cylinder. Each portion is heated in the oven to the same uniform temperature. When he takes the portions out of the oven and leaves them at room tempe...

7 years ago

Three hats are placed on the heads of three men standing in a line. Each man can only see the men and hats in front of him. In addition, the men all know that the hats came from a bag with 3 red hats and 2 blue hats. Each man is asked if he knows which co...

7 years ago

Roll a fair six-sided die until you roll a number that is less than one of your previous rolls. To three decimal places, what is the expected value of the number of rolls made?

7 years ago

Please reference the illustration at: screenshots<dot>firefox<dot>com/kBXqJ4tycTCPwjUw/brilliant<dot>org to answer the following question: On the edge of a wall, you build a brick tower that only holds because of the bricks' own weight. Your goal is to bu...

7 years ago

Please reference the illustration at screenshots<dot>firefox<dot>com/kzZjGCIcg9EMQ0MH/brilliant<dot>org to answer the following question: What percentage of the square's area is colored blue? 30% 35% 40% 45% 50%

7 years ago

15 can be written as the difference between two positive perfect squares: 15=4²-1²=16-1 Which of the following numbers cannot be written as the difference of two positive perfect squares? 16 17 18 19 20

7 years ago

Please reference the photo at: screenshots<dot>firefox<dot>com/ak1Ss85a8nhM4o2t/brilliant<dot>org for the question. What is the value of XY??? Thank you

7 years ago

Please reference the illustration at screenshots<dot>firefox<dot>com/fDDGSaztdbf0b7Uh/brilliant<dot>org for the following problem: A bunch of bananas of total weight W is hung at one end of a string passing over a perfectly smooth pulley. At the other end...

7 years ago

For the following question, please reference the graphic at: screenshots<dot>firefox<dot>com/cjbaIYetsJhJJimy/ds055uzetaobb<dot>cloudfront<dot>net Pictured is the graph of the equation 4x²=y(1-y)(2-y)² rotated around the y-axis. Find the volume of t...

7 years ago

You are asked to guess an integer between 1 and N inclusive. Each time you make a guess, you are told either: (a) you are too high, (b) you are too low, or (c) you got it! You can guess as many times as you like, but are only allowed to guess too high 10...

7 years ago

Please refer to the illustration at screenshots<dot>firefox<dot>com/jZoizoMJf8a3H0UZ/ds055uzetaobb<dot>cloudfront<dot>net to help answer the following question: Zeb's coin box contains 8 fair, standard coins (heads and tails) and 1 coin which has heads on...

7 years ago

The illustration for this problem can be seen at screenshots(dot)firefox(dot)com/atwXACAA9akaoAji/null The army is testing out a new prototype artillery cannon with an uncommonly high muzzle velocity of 1000 m/sec . The design bugs haven't been fully work...

7 years ago

If a + 1/a=7, what is the value of a³ + 1/a³?

7 years ago

The images for this question can be seen at ds055uzetaobb<dot>cloudfront<dot>net/image_optimizer/6e5bfce857320dea5985406428cba570440e5181.png and ds055uzetaobb<dot>cloudfront<dot>net/image_optimizer/8b43e0b9075d5c33c65862955d90fa767bb63dac.png A fractal p...

7 years ago

The illustration for this problem is at ds055uzetaobb<dot>cloudfront<dot>net/image_optimizer/142fdba0bc53bb9ae12ecea6de058f57fef01274.png A rope of length 90cm lies in a straight line on a frictionless table, except for a very small piece at one end which...

7 years ago

Given: a-b/c-d = 2 and a-c/b-d= 3 Given that a,b,c and d are real numbers, find the value of a-d/b-c...

7 years ago

A car moving at 15 m/s skids to a stop after 20 m. How far will it skid if it is moving at 45 m/s, assuming that the braking force is constant?

7 years ago

If a ball is thrown at the height of 10m then it bounces by 3\5 of the 10 meter and continues to resting condition, what is the total distance covered by the ball until rest?

7 years ago

A stone is dropped from a ledge 45m high. What will its speed on reaching the Earth be?

7 years ago

What is the blue area in the graphic at the following link: drive<dot>google<dot>com/file/d/1w4WF6LfpJB34pkmeRnN5EJsOPuk-ZQUS/view

5 years ago

In an examination, 40% students pass in Math, 45% pass in Science and 55% pass in English. 10% pass in Math and Science, 20% in Science and English and 15 % in English and Math. Find the percentage of students who passed in all the 3 subjects

5 years ago

15 students were given a set of 3 math questions. The first question was solved correctly by 11 students, the second by 14 and the third by 8. At least how many people solved all 3 questions correctly?

4 years ago

Select the boxes in the table to show whether each country has an autocratic or a democratic form of government today. China: Autocratic** Democratic Japan: Autocratic Democratic** Mongolia: Autocratic Democratic** Taiwan: Autocratic** Democratic

2 years ago

The angle with the ground would be arctan 200/400, or .5. Assuming the falcon flies to the top of the nearby tree after catching the mouse, he will have flown [√((200)²+(400)²)]+[(√(400)²+(350)²)] feet.

8 years ago

3/5ths of the animals are goats, so sheep are 2/5ths of all animals. Then: 2x/5=32 Solve for x, then multiply by 3/5ths, or subtract 32 sheep from x, to get goats. ☺☺☺☺

8 years ago

Assume the triangle is of fixed size. The sides are a fixed length.

8 years ago

235.50/3=Avg. per boy

8 years ago

If the half-life is 10 years, and you have 50 grams now, you will have half that, or 25 gms., in 10 years. That's what half-life means. ☺☺☺☺

8 years ago

Answering my own question: h=120t-1/2(10)t² h=120t-5t² If h=0, then 5t²=120t t=24 ☺☺☺☺

8 years ago

10000x (1.08)²=.....

8 years ago

I need a number----a ratio. I can't understand this.

8 years ago

13x150=1950 mg/day 3x500=1500 mg 1950/3=650mg/8 hrs. ☺☺☺☺

8 years ago

1. The supply curve shifts by the amount of the price increase. 2. The demand curve doesn't change. 3. equilibrium quantity decrease 4. equlibrium price increase If the price goes up (and it has to, because the ingredients are more expensive), people will...

8 years ago

250/2500:90/x² 225000=250x² 900=x² x=+/-30

8 years ago

Let n be the price of the expensive pencils. Then the price of the cheap pencils is n-40. So: 1800/n=1800/n-40 -12 1800(n-40)=1800n-12(n²-40n) 1800n-72000=1800n-12n²+480n 12n²-480n-72000=0 n²-40n-6000=0 (n-100)(n+60)=0 n=100, -60 ☺☺☺☺

8 years ago

Total production before = 8*200 barrels Ok, so we want to find the maximum possible production. To do this, we have to find a function for the amount of barrels produced by x wells. We know that the original average for 8 wells is 200 barrels per well. Th...

8 years ago

The equation for this would be h=g/2(t²)+12t+80. This works out to: h=-4.9t²+12t+80 When the package hits the ground, t=0, so: 0=-4.9t²+12t+80 4.9t²-12t-80=0 49t²-120t-800=0 Solve for t ☺☺☺☺

8 years ago

Thank you.

8 years ago

163% of 23=1.63 x 23

8 years ago

Let L be the gardens' length, and L-54 be its width. Then: 2L+2(L-54)=292 Then solve for L. ☺☺☺☺

8 years ago

Almost. red card=26/52=1/2 face card=12/52=3/13 jack and spade=4/52 x 12/51 (Subtracting the jack of spades)=48/2652=4/221

8 years ago

Let m be the ten digit, and n be the ones. Then: m+n=7 (10m+n)-(10n+m)=9 Then: 10m-10n+n-m=9 Solve for m and n ☺☺☺☺

8 years ago

Let n be the amount Ronnel started with. After he spent 1/5, he had 4/5 left. Similarly, he had 3/4ths of that amount after more spending. All told, he had: (4/5 x 3/4)n=360 (3/5)n=360 n=360/(3/5)=600 to start with ☺☺☺☺

8 years ago

Let n be the amount Chris started with. After he spent 1/4, he had 3/4 n left. Then he spent 1/2 of that, leaving him with 1/2 of 3/4 n, or 3/8 n. So: 3n/8=56 3n=448 n=149.33333 as the amount Chris started with. ☺☺☺☺

8 years ago

Try working backwards. We have 15 pesos left. Add 20 and multiply by 5/4,we get 43.75. Add 30, and multiply by 2, we get 147.50. Add 50, and multiply by 2 we get 395 as the amount started with

8 years ago

Working backwards, he ends up with 0, so: 2(0+1)=2 2(2+1)=6 2(6+1)=14 2(14+1)=30 2(30+1)=62 If you check the math, you will find that he started with $62 62/2 -1=30 30/2 -1=14 14/2 -1=6 6/2 -1=2 2/2 -1=0 ☺☺☺☺

8 years ago

Let n be the amount she started with. Then: (n-11)/2=amount after clothes 1/5((n-11)/2))=(n-11)/10= amount after gas 4/5[(n-11)/10]=4(n-11)/50= amount after entertainment. 4n-44/50=28 n=$361 as the amount she started with.

8 years ago

Thanks for the help. But, he is LAYING down on the ground!!!!!!

8 years ago

Still confused. What am I solving for? Is Vi the initial velocity? And wouldn't it have two components: horizontal and vertical?

8 years ago

1)$60/500 balls=$0.12/ball 2)800 balls x $0.12/ball= 3) n balls x $0.12/ball= ☺☺☺☺

8 years ago

Figured it out. Total surface area is 9. Top and bottom surfaces DO count, which makes 6 total. The sides are 1/6 and 2 x 1/6, 1/6 + 2 x 1/3, and 1/6 + 2 x 1/2=3 more ☺☺☺☺

8 years ago

The ratio of girls to boys in the class is 1:1. Let n be the common multiple. Then: 2(n-8)=n 2n-16=n n=16 There are 16 boys and 16 girls, normally, in the class. ☺☺☺☺

8 years ago

Caleb uses 00 exactly once, leaving 6 digits from 1 to 9, or 10^6, or 1 million other combinations of digits to choose from. Since the 00 can be the first two digits, the second two, etc., up to 7 different spots in the number, meaning 7 million different...

8 years ago

6x+6y=-2 x=y 6y+6y=-2 12y=-2 y=-1/6 ☺☺☺☺

8 years ago

4:7 as n:31.5 4/7=n/31.5 7n=126 n=18 P=2(18)+2(31.5) A=18 x 31.5

8 years ago

The ratio of Roberto's cards to Davids cards is 3:4. After giving half his cards, the ratio becomes 3 - 3/2 to 4 + 3/2, or 3/2 to 11/2, so the ratio now becomes 3:11. ☺☺☺☺

8 years ago

11+12/11+8+12+9=?

8 years ago

Let n be team two. Then team one is 2n. So: 2n-5-7=n-2 n=10 Originally, team one had 20 workers, and team two had 10 ☺☺☺☺

8 years ago

First, we need the time before the ball hits the ground. This would be: 0=30.6-4.9t² 4.9t²=30.6 t=2.5 secs 50 meters/2.5 secs=20 m/s as the speed of the ball ☺☺☺☺

8 years ago

Let's work backwards. The papers from another state and the local make 2 bundles. Double that to include the regional--we now have 4. Add 2 more bundles for the afternoon edition. We now have 6. Since 6 represents 2/3rds of the bundles after the morning e...

8 years ago

Yes. Just because a student is an English student does not necessarily make them a history student as well. And vice-versa. ☺☺☺☺

8 years ago

4/9 x 9/4=14 4/9 x 204=? ☺☺☺☺

8 years ago

That should say "4/9 x 9/4=1"

8 years ago

y=x,so 6x+6x=-2 12x=-2 x=

8 years ago

16 x 16=256 m² .25m x .25m=.0625 m 256/.0625=?

8 years ago

13601/87=156&1/3 87/3=29 13601-29=13572 13572/87=?

8 years ago

18-16=13-? 18-16-13=-? ?=13+16-18 ☺☺☺☺

8 years ago

Fancy answer. Too bad its wrong. The correct answer turns out to be 1/2.

8 years ago

If the probability of drawing is 1/5th out of 25 candies, then 25 x 1/5=5 peppermint candies in the jar. Let n be the number of candies to be added. Then: 1/3(25+n)=5+n 25/3+n/3=5+n 25+n=15+3n 10=2n n=5 5 more peppermint candies need to be added. ☺☺☺☺

8 years ago

Yes. Only 10 cents. Keep in mind that it's not necessarily for one bus. Thanks.

8 years ago

Let n be the time between the planes leaving and then meeting each other. Then 200n+250n=1800 450n=1800 n=4 hours ☺☺☺☺

8 years ago

Still need an equation for all the students, and the fixed cost for the bus.

8 years ago

A. The equation for this would be: h(t)=-4.9t²+15t+17 The ball will reach its maximum height at -b/2a, where b and a come from the standard equation y=ax²+bx+c. So: -15/-9.8 is about 1.5 seconds The height would be : h=-4.9(1.5)²+15(1.5)+17=28.475 m B. If...

8 years ago

3 types of bread x 5 types of spread x 7 choose 3 types of vegetables=3x5x7C3, or 15 x 35=525 different sandwiches. ☺☺☺☺

8 years ago

25=1/8 of x 25/1/8=200=x 1/5(200-25)=? ☺☺☺☺

8 years ago

2,4,8, and 16 are multiples of 2 and factors of 16 ☺☺☺☺

8 years ago

1+28=29 which would be a Saturday. Two days after Saturday would be ? ☺☺☺☺

8 years ago

4,12, and 36 are all multiples of 4, and factors of 36 ☺☺☺☺

8 years ago

You can do a work in 30 days, or 1/30th of the work per day. B takes x days, of 1/x of the work per day. C destroys the work at a rate of 1/50th per day. So, you have: 1/30 + 1/x -1/50=1/(355/7) or 7/355 1/75+1/x=7/355 525/26625-355/26625=1/x 170/26625=1/...

8 years ago

2y²+y-1=(2y-1)(y+1) So: (y+2)(y-2)/(2y-1)(y+1) y cannot be 1/2 or -1 ☺☺☺☺

8 years ago

a).7 x .7=0.49 b).3 x .3 x .3=0.027

8 years ago

1.26n=31300 n=24841.27 1.46 x 1.15 x 0.6 x 1.14 x 24841.27=28528.61 as the final sale price. ☺☺☺☺

8 years ago

Let n be the price of B. Then A is n+200. So: .9(n+200)+1.25n=1.04(n+n+200) Solve for n ☺☺☺☺

8 years ago

5 choose 3 equals 5!/3!2!=5x4/2=10 ☺☺☺☺

8 years ago

(1+ .016/2)² - 1=0.016064=1.6064% ☺☺☺☺

8 years ago

try y*a*h*o*o answers (no asterisks)

8 years ago

8 choose 2=8!/6!2!=8x7/2=28 ☺☺☺☺

8 years ago

It appears she needs to make 4 trips to the oasis.

8 years ago

A) y does represent a function of x, as in the equation y=f(x)=x^4 B) If f(x)=17x+50, then f(30)=17(30)+50=560. f(30) represents the cost of renting a truck for 30 hours. ☺☺☺☺

8 years ago

You could get "cabbage and sausage skillet dinner" from these letters..... One possible answer

8 years ago

Let n be the speed of the train. Then the planes speed would be 2n. So, you have: 240/n=(240/2n) +1 Then, solve for n ☺☺☺☺

8 years ago

The future value of the money would be the original 12000 plus 11%, or 12000 times 1.11, after one year. After 9 years, the money will be worth 12000 times (1.11)^9, or 30696.44 ☺☺☺☺

8 years ago

20 x 5/(20+5)=100/25=?

8 years ago

Since she is borrowing for 9 months, her total interest is 9/12 x 9%=6.75%. 1.0675 x 1000=1067.5 total payments. 1067.5/3=$355.83 due at the end of 3, 6, and 9 months. ☺☺☺☺

8 years ago

a)09.6/12=0.008 12000 x (1.008)^20x12=12000x(1.008)^240= $81228.60 b)12000 x e^.096x20=12000 x e^1.92=$81851.50

7 years ago

Thanks

7 years ago

Let n be the distance she walks, and 20-n be the distance she rides. Then: n/3+(20-n)/30=13/6 10n+20-n=65 9n=45 n=5 She walked 5 miles; and rode for 15 ☺☺☺☺

7 years ago

Please refer to the question below and solve. Thank you "screenshots<dot>firefox<dot>com/8POFA7yOO7VQ1QGz/null"

7 years ago

Thanks

7 years ago

-12 was not any of the possible answers given

7 years ago

51/26=1.9615384615384615384615384615385 secs h(t)=-4.9(t)²+h(h) h=4.9(1.9615384615384615384615384615385)² h=18.85m as the initial height ☺☺☺☺

7 years ago

20 min/60 min * 8 km/h=???

7 years ago

4 ft=48 in 48 in/8 in=6 ☺☺☺☺

7 years ago

1.1^6=1.771561 1.771561*2100=3720.28

7 years ago

Let n be the common factor between the two pieces. Then, the length of each piece is given by 3n and 7n, respectively. The length of the longer piece would be 7n/v+4 So: 3n+7n=v+4 3n+7n/v+4=1 3n/v+4 +7n/v+4=1 7n/v+4=1-3n/v+4

7 years ago

why are researchers and scientists from african countries migrating to Western countries?

7 years ago

thanks

7 years ago

-3x^4+27x^2+1200=0 0=3x^4-27x^2-1200 (3x²+48)(x²-25)=0 3(x²+16)(x+5)(x-5)=0

7 years ago

y=2.9046(1.9798)^x Solve for y=13. So: 13=2.9046(1.9798)^x 13/2.9046=1.9798^x 4.47566=1.9798^x ln 4.47566=ln 1.9798^x=x ln 1.9798 x=2.1942355 The number of days, at that rate, would be 2.1942355 ☺☺☺☺

7 years ago

f(x)=3x²+12x+2 f(x)/3=x²+4x+2/3 f(x)/3 +4=x²+4x+4+2/3=(x+2)²+2/3 f(x)/3=(x+2)²-10/3 f(x)=3(x+2)²-10 Hope this helps ☺☺☺☺

7 years ago

Let d be the distance between Abigail's apartment and her campus. Then: d/3=d/12 +36/60 20d=5d+36 15d=36 d=36/15, or 12/5 miles between Abigail's apartment and the campus ☺☺☺☺

7 years ago

Let n be the total amount of registered doctors that year. Then: 0.233n=46800 n=46800/0.233=200858.37 doctors registered (rounds down to 200,858) ☺☺☺☺

7 years ago

4πr²=4π(1.25)²=6.25π=19.63 in² 4/3 πr³=4/3 π(1.25)³=8.18123 in³ ☺☺☺☺

7 years ago

19/25 x 25000=19x25000/25=19 x (25000/25)=19x1000=19000 ☺☺☺☺

7 years ago

Let c be Christian, and m be Marie. Then: c=3m and m=c-12 So: 3(c-12)=c 3c-36=c 2c=36 c=18 ☺☺☺☺

7 years ago

If this baseball is propelled upwards with a velocity of 30 ft/s, then the formula for its' height after t seconds would be: h(t)=-16t²+30t+6 It's maximum height is reached at -b/2a seconds, from the equation h(t)=a(t)²+b(t)+c. In this case, that would be...

7 years ago

The architect was not hired because those side lengths are impossible to construct a triangle. Imagine the 2nd piece, 37 ft. Now, take the other two sides: 15 and 21 ft. The two shorter pieces would be, when added together, shorter than the first piece al...

7 years ago

The penny's height at any time, t, seconds would be given by the equation h(t)=-16t²+10t+300. It reaches its' maximum height at -10/-32, or 0.3125 seconds (-b/2a). This gives it a maximum height of 301.5625 ft. The penny lands at h(t)=0, or 16t²-10t-300=0...

7 years ago

The cells divide every 5 minutes, starting from 1. Let x equal every 5 minute period. Then: 1,000,000=1*2^x ln 1,000,000=ln 2^x=x ln 2 x=19.93 19.93 x 5=99.66 minutes before the cell population reaches 1,000,000.

7 years ago

Let n be the amount contributed in 2002. In 2003, the contributions were 15% greater, or 1.15n. In 2004, the contributions were 10% greater than that, or 1.1(1.15)n. So: 1.265n=8855 n=7000 ☺☺☺☺

7 years ago

If the creator receives 8% of each game sold, then the company that produces the game gets the remaining 100-8, or 92% of the revenue. Let n be the selling price of the game. Then: .92n=10.10 n=10.10/.92=10.98 price of the game ☺☺☺☺

7 years ago

Out of 10 questions, you answer 4 1-pointers and 5 two-pointers, leaving one question incorrectly answered. If there are 4 1-point questions, and 6 2-point questions, this gives you 16 points total for the quiz. You miss one 2-point question, giving you a...

7 years ago

3+1.5=4.5 4.5+1.5=6 6+1.5=7.5 . . . Since each subsequent number can be found simply by adding a constant to the previous number, the sequence is, by definition, an arithmatic progression

7 years ago