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3 years ago

Factor fully. x2 + 5x + 6

Mathematics

1 answer:

lara31 [8.8K]3 years ago

4 0

Answer:

You can't factor x or any number other than 1 out.

Step-by-step explanation:

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Solve this equation: -7.2 + 12 - 2.c

lilavasa [31]

Answer:

4.8-46c+13x

Step-by-step explanation:

7 0

2 years ago

A rumor spreads through a small town. Let y ( t ) be the fraction of the population that has heard the rumor at time t and assum

Ivan

Answer:

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solution

$y=\frac{1}{1+4e^{-0.327t}}$

Value of constant k=0.327 days^(-1)

The rumor reaches 80% at 8.48 days.

Step-by-step explanation:

We know

y(t): proportion of people that heard the rumor

y'(t)=ky(1-y), rate of spread of the rumor

Differential equation

$\frac{dy}{dt} =ky(1-y)$

Solving the differential equation

$\frac{dy}{y(1-y)}=k\cdot dt \\\\\int \frac{dx}{y(1-y)} =k \int dt \\\\-ln(1-\frac{1}{y} )+C_0=kt\\\\1-\frac{1}{y} =Ce^{-kt}\\\\\frac{1}{y} =1-Ce^{-kt}\\\\y=\frac{1}{1-Ce^{-kt}}$

Initial conditions:

$y(0)=0.2\\y(3)=0.4\\\\y(0)=0.2=\frac{1}{1-Ce^0}\\\\1-C=1/0.2\\\\C=1-1/0.2= -4\\\\\\y(3)=0.4=\frac{1}{1+4e^{-3k}} \\\\1+4e^{-3k}=1/0.4\\\\e^{-3k}=(2.5-1)/4=0.375\\\\k=ln(0.375)/(-3)=0.327\\\\\\y=\frac{1}{1+4e^{-0.327t}}$

Value of constant k=0.327 days^(-1)

At what time the rumor reaches 80%?

$y(t)=0.8=\frac{1}{1+4e^{-0.327t}} \\\\1+4e^{-0.327t}=1/0.8=1.25\\\\e^{-0.327t}=(1.25-1)/4=0.0625\\\\t=ln(0.0625)/(-0.327)=8.48$

The rumor reaches 80% at 8.48 days.

8 0

3 years ago

4(m - 3) = 36 PLEASE STEP BY STEP EXPLANATION IN WORDS!

Helen [10]

Answer: 12

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being

ladessa [460]

Using the probability concept, it is found that there is a $\mathbf{\frac{1}{k}}$ probability that “Relaxation Through Mathematics” is first to review.

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem:

There is a total of k documents to be reviewed, hence $T = k$ .
Of those documents, 1 is named “Relaxation Through Mathematics”, hence $D = 1$

The <em>probability </em>is:

$p = \frac{D}{T} = \frac{1}{k}$

A similar problem is given at brainly.com/question/24483829

8 0

2 years ago

Which of the following forms of I.D. is not an acceptable form of I.D. for opening a savings account?

just olya [345]

9514 1404 393

Answer:

a. Library card

Step-by-step explanation:

A bank is most comfortable with a government-issued picture ID. A library card usually will not provide any assurance that you are who you say you are.

5 0

2 years ago

Read 2 more answers