Find the slope of the line that passes through (5,2) and (4,-1)

Answers

Answer 1
Answer:

Answer:

3

Step-by-step explanation:

2 - -1= 3

5-4 = 1

3/1 = 3

Answer 2
Answer: 3. The answer is 3. That is the answer

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There are 480 jellybeans in an 8-ounce jar. How many jellybeans are there per ounce in the jar?0.017
6
60
3,840

Answers

For this case, what we must do is divide the total amount of jellybeans by the total number of ounces.

For this, we use the following equation:

r = \frac {amount\ of\ jellybeans} {number\ of\ ounces}

Substituting values:

r = \frac {480} {8}\nr = 60

Answer:

There are 60 jellybeans per ounce in the jar.

Option 3

The answer would be 60. This is because 480/8=60. 

What is the quotient of -8x^6 over 4x^-3 a) x^9 over 32
b) 4x^9
c) -12 over x^2
d) -2x^9

Answers

(-8x^6) / (4x^3) can be broken down as (-8/4) * (x^6/x^-3)
you should know that -8/4 is -2
the second part is dividing variables at different powers which is kinda like subtracting powers

think of it as x ^ (6-(-3))
you get x^9
-2 * x ^9
= -2x^9

What is the 9th term in the addition pattern with formula 7n – 3? A.13

B.42

C.60

D.76

Answers

replace n with 9 :
7 × 9 - 3 = 60
the answer is C.60

A scientist writes the equation n(h)100e^0.25h to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.1 hour
6 hours
13 hours
15 hours

Answers

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

n(h)=100e^(0.25h)

where, N represents the number of bacteria after 'h' hours.

So, we have given that there are 450 bacteria present.

N = 450

According to question,

450=100e^(0.25h)\n\n(450)/(100)=e^(0.25h)\n\n4.5=e^(0.25h)\n\n\text{Taking natural log 'ln' on both sides}\n\n\ln (4.5)=0.25h\n\n1.50=0.25h\n\nh=(1.50)/(0.25)\n\nh\approx 6\ hours

Hence, Second option is correct.

6 hours is the amount of time

Michael buys a ticket in the Tri-State Pick 3 lottery every day, always betting on 812. He will win something if the winning number contains 8, 1, and 2 in any order. Each day, Michael has probability 0.006 of winning, and he wins (or not) independently of other days because a new drawing is held each day. What is the probability that Michael’s first winning ticket comes on the 10th day?

Answers

Answer:

0.00568 ANS

Step-by-step explanation:

Since Michael has a .006 chance of winning on any given day,

Than his tries of not winning on any day are as:

1-.006=.994.

For Michael first winning ticket would be on 10 day, Michael should not win on the first 9 days, so then he has to win on the 10 day.  For Michael not to succeed on the first 9 days, the probability is:

.994^9=0.94727801832

Hence for him to succeed on the 10 day, the probability is .006.

Now the probability of his first winning ticket being on the 10 day is:

.006*.994^9.=0.0056836681.

Remmi wrote the equation of the line y=1/3(x+2) He solved for x and got x=3y-2 Which of the following is an equivalent equation for x?a. x=y-11/3
b. x=y+7/3
c. x=3(y-2/3)
d. x=3(y+2/3)

Answers

Answer:

Option c is correct

x = 3(x - (2)/(3))

Step-by-step explanation:

Remmi wrote the equation of the line :

y = (1)/(3)(x+2)

Multiply both sides by 3 we have;

3y = x+2

Subtract 2 from both sides we have;

3y-2 = x

or

x = 3y-2

We can write this as:

x = 3(x - (2)/(3))

Therefore,  the following is an equivalent equation for x is, x = 3(x - (2)/(3))

Just took the quiz.

The answer is x=3(y-2/3)