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3 years ago

When is the product of two nonzero integers less than or equal to both of the two factors

1 answer:

5 0

The product of two nonzero integers is less than or equal to the both of the factors when one of them is positive and the other is negative.

For example:-

$x = 9 \\ 
y = -5 \\ \\ 
Then, \\
xy = 9*(-5) = -45 \\ \\ 
Here, \\ 
xy \leq x \\ 
xy \leq y
$

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What is the value of z? <br>z=2³

Hitman42 [59]

Answer:

Step-by-step explanation:

Ok here's the solution. I'm typing this to get 20+ characters:

2^3 = 2 x 2 x 2

= 8

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3 years ago

What is the simplified form of the quantity of x plus 9, all over the quantity of 8 − the quantity of x plus 3, all over the qua

marishachu [46]

X +9 x +3 (x+9)(x+2) - 8(x+3)
------ - --------- = ---------------------------
8 x +2 8(x+2)

do you think it in this way or more simplified ?

4 0

3 years ago

Read 2 more answers

In a lab experiment, 720 bacteria are placed in a Petri dish. The conditions are such that the number of bacteria is able to dou

MakcuM [25]

Answer:

22.4 hours

Step-by-step explanation:

The population of bacteria is modelled by the equation:

$P=P_0e^{rt}$

From the the question, the initial population of bacteria is 720.

So after 26 hours, we have:

$P=2P_0$

This implies that:

$2P_0=P_0e^{26r}$

$2=e^{26r}$

$26r = ln(2)$

$r = \frac{ ln(2) }{26}$

$r = 0.0267$

We want to find how long it will take for there to be 1310 bacteria present.

$1310=720e^{0.0267t}$

$\frac{1310}{720} = {e}^{0.0267t}$

$\ln(\frac{1310}{720}) = {0.0267t}$

$0.59853= {0.0267t} \\ t = \frac{0.59853}{0.0267}$

$t = 22.417$

To the nearest tenth , it will take 22.4 hours

6 0

3 years ago

How do I write a expression for the sequence in the table? Answer fasts plzz

photoshop1234 [79]

Answer:

the answer for number 1 is 18

the answer for number 2 is 14

the answer for number 3 is 50

4 0

3 years ago

A candy company claims that 25% of the candies in its bags are colored green. Steve buys 32 bags of 32 candies, randomly selects

Luden [163]

Answer:

45.88%

Step-by-step explanation:

We have in this case a binomial distribution when p = 0.25, since the probability is 25%

. The formula that we will use in excel is BINOM.DIST, separated by commas we must put the value of x, n, p and also if it is true or false. We know that n equals 32.

In this case we need to know when x = 7, 8 and 9 and add this, and thus we will obtain the probability:

P (X = 7) + P (X = 8) + P (X = 9)

Excel formulas: = BINOM.DIST (7,32,0.25, FALSE) + BINOM.DIST (8,32,0.25, FALSE) + BINOM.DIST (9,32,0.25, FALSE)

P = 0.1546 + 0.1610 + 0.1431

P = 0.4588

Probability that steve agrees with the company's claim 45.88%

4 0

3 years ago