Easy algebra! Just need help with this one
easy algebra! Just need help with this one - 1


Answer 1
Answer: The answer is B (9,6) (12,8)

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You select two cards from a standard deck of 52 cards, one after the other. What is the probability that you select and ace then a king? A. 1/13
B. 4/663
C 2/13
D 1/169


it would be 1/169 because it is not very likley
It would be 2/13 because imagine being given 4 decks of 13 cards and you have. Higher chance of having one to two of an ace or king in the deck compared to pulling none to all four. So 2/13 due to the ratio of 13

Fourth term of sequence is 216, sixth term 96


312 I think, hop[e this helps

Hey can you please help me posted picture of question


For this case we have the following equation:
 y = 4 (x-2) ^ 2-1
 Rewriting we have:
 y = 4 (x ^ 2-4x + 4) ^ 2-1
 Multiplying the common factor 2 we have:
 y = 4x ^ 2-16x + 16-1
 Adding the constant term we have:
 y = 4x ^ 2-16x + 15
y = 4x ^ 2-16x + 15
option D
the answer is D y=4x^2-16x+15

Tina Thompson scored 34 points in a recent basketball game without making any 3-point shots. She scored 23 times, making several free throws worth 1 point each and several field goals worth two points each. How many free throws did she make? How many 2-point field goals did she make?


11 field goals
12 free throws
x = free throws and y = field goals

x + y = 23....x = 23 - y
x + 2y = 34

23 - y + 2y = 34
-y + 2y = 34 - 23
y = 11.....so she made 11 field goals

x + y = 23
x + 11 = 23
x = 23 - 11
x = 12...and she made 12 free throws

A bacterial culture starts with 500 bacteria and doubles in size every half-hour.(a) How many bacteria are there after 3 hours?
Answer: Since 3 hours equals 6 half-hours, the culture will have doubled 6 times.
Therefore, there will be
500 · 2
6 = 32,000
(b) How many bacteria are there after t hours?
Answer: Since t hours is the same as 2t half-hours, the culture will have doubled 2t
times. Therefore, there will be
500 · 2
(c) How many bacteria are there after 40 minutes?
Answer: There are two possible answers depending on how you interpret the set-up
to the problem. If each bacterium in the culture doubles once every half-hour on the
half-hour, then each one will double after exactly 30 minutes, and then not again until
60 minutes have passed. In that case, there will be
500 · 2 = 1000
bacteria after 40 minutes.
On the other hand, if each bacterium doubles exactly once per half-hour, but at some
random time within that half-hour, then it makes sense to think of the population
function P(t) = 500 · 2
2t as continuous. In that case, since 40 minutes is
of an hour, the population will be
500 · 2
3 = 500 · 2
3 ≈ 1259
after 40 minutes.



a). 32000

b). T_(t)=500* 4^(t)

c). 1259

Step-by-step explanation:

Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.

Sum of the bacterial population after t hours will be represented by


Where a = population at the start

r = ratio with the population is growing

n = time or duration of the growth in one hour

a). Population of 500 bacteria gets doubled after half an hour.

Or gets 4 times after an hour

This sequence will have a common ratio r = 4

and initial population a = 500

Therefore, population of the bacteria after 3 hours will be

T_(3)=500* 4^(3)


b). After t hours number of bacteria will be represented by

T_(t)=500* 4^(t)

c). We have to calculate the population after 40 minutes.

That means duration 't' = 40 minutes of (2)/(3) hours

By the formula,

T_{(2)/(3)}=500* 4^{(2)/(3)}

T_{(2)/(3)}=1259.92 ≈ 1259

Therefore, number of bacteria after 40 minutes will be 1259.

After 3 hours, there will be 32,000 bacteria in the culture, given that the bacteria double in size every half-hour. The number of bacteria at any given time depends on whether they double precisely every half-hour or continuously within that timeframe.

In this scenario, the population growth of the bacterial culture follows exponential growth, where it doubles every half-hour. To calculate the number of bacteria after 3 hours (equivalent to 6 half-hours), you can use the formula for exponential growth: P(t) = P₀ * 2^{(t/h), where P(t) is the population at time t, P₀ is the initial population, t is the time in hours, and h is the time interval for doubling (in this case, 0.5 hours). Plugging in the values, you get P(3) = 500 * 2^{(3/0.5) = 32,000 bacteria.

This means that after 3 hours, there will be 32,000 bacteria in the culture. The explanation also addresses the alternate interpretation of continuous growth, where the population increases continuously within each half-hour, resulting in approximately 1259 bacteria after 40 minutes.

Learn more about time here: brainly.com/question/34222581


Write an equation that represents the line.
Use exact numbers


y=2/3x+2/3 bc slope is 2/3 and 4-2/4-1=2/3