I am trying to get the intersection of 8-16-24-32 and16-32-48

Answers

Answer 1
Answer: {8, 16, 24, 32}int.{16, 32, 48}={16, 32}

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A student playing a computer chess game gets 5 points every time he wins a round. The computer gets 3 points every time it wins a round. They play 64 rounds and end with a tied score. How many rounds did the computer win?

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I am sorry but i don't know, But the student won 32 times. I did the math on paper and then on my calculator. I am really sorry i couldn't help you. 'ω' Hope you do good on this question and again sorry i could not help you.

If F (x) = 5x^3 - 2 and g (x) = x+1, find (f-g) (x)

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(f-g)(x) is in fact f(x) - g(x):

f(x) - g(x)

= 5x³ - 2 - ( x + 1 )

= 5x³ - 2 - x - 1

= 5x³ - x - 3

A man invests a certain amount of money at 2% interest and $800 more than that amount in another account at 4% interest. At the end of one year, he earned $92 in interest. How much money was invested in each account?A) $1,500 at 2%; $2,300 at 4%
B) $1,400 at 2%; $2,200 at 4%
C) $1,000 at 2%; $1,800 at 4%

Answers

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Let the principal amount be 'x'.

First rate of interest = 2%

Second rate of interest = 4%

Number of years = 1

Amount of interest he earned = $92

According to question,

(x* 2)/(100)+((x+800)* 4)/(100)=92\n\n(2)/(100)(x+2(x+800))=92\n\nx+2x+1600=(92* 100)/(2)\n\n3x+1600=4600\n\n3x=4600-1600\n\n3x=3000\n\nx=(3000)/(x)\n\nx=\$1000

So, First investment of $1000 at 2% and Second investment of $1000+$800=$1800 at 4%.

Hence, Option 'C' is correct.

x the first account  interest = x/100*2 = 2x/100 
(x + 800)/100 * 4 =( 4x + 3200)/100 
2x/100 + (4x + 3200)/100 = 92
2x + 4x + 3200 = 9200 
6x = 6000
x = 1000
C is the answer

ΔXYZ is translated 4 units up and 3 units left to yield ΔX′Y′Z′. What is the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ ?25 units

7 units

5 units

7√ units

Answers

By translating triangle ABC 4 units up and 3 units left to form triangle A'B'C' means that the line joining each of the corresponding points represents the hypothenus of a right triangle with legs 4 units and 3 unit. To find the length of each corresponding points, we use the prthagoras theorem which states that the square of the length of the pythagoras of a right triangle is equal to the sum of the squares of the lenght of other legs. i.e. the square of the required distance = 4^2 + 3^2 = 16 + 9 = 25 Therefore, the distance of eachcorresponding side is given by the square root of 25 = 5.

Answer:

5

Step-by-step explanation:

What is the equation of a vertical line passing through the point (-4, 7)?

Answers

Answer:

x=-4

Step-by-step explanation:

Since we know that the equation will be x= we will just have to take the x value of the coordinate point and that would be the x so in this case the x is -4 so the equation would be x=-4

A room with poor air quality has a particle concentration of 80 units. ​A fan removes 50% of the remaining particles each hour. What is the ​particle concentration, in these same units, in the room after 2 hours? ​​

Answers

Answer:

20 units

Step-by-step explanation:

Initial particle concentration = 80 units

Particles removed each hour = 50% of the remaining particles

To find:

Particle concentration after 2 hours = ?

Solution:

Particles removed in 1 hour = 50% of remaining particles

i.e. Particles removed in 1 hour = 50% of initial concentration

Particles removed in 1 hour = 50% of 80 = 40

Particles removed in next 1 hour = 50% of remaining particles

i.e. Particles removed in next 1 hour = 50% of concentration after 1 hour

Particles removed in next 1 hour = 50% of 40 = 20

Total particles concentration removed in 2 hours = 40 + 20 = 60 units

Therefore, particle concentration after 2 hours = Initial concentration - Total particle concentration removed in 2 hours

= 80 - 60 = 20 units