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3 years ago

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An internet service provider uses the function R = 3 log(a + 2) + 15 to relate R, the sales revenue from hosting websites, to a,

the cost of advertising
Solve for a in terms of R.

1 answer:

elena55 [62]3 years ago

3 0

Answer:

a=10R−153−2

Step-by-step explanation:

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An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters mor

butalik [34]

Answer:

The rectangle is 3.2 cm by 12.6 cm

Step-by-step explanation:

See attached image for a diagram.

Choose <em>w</em> to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.

Length = 3w + 3

The diagonal forms two right triangles, each with leg = <em>w</em>, other leg = 3<em>w</em> + 3, hypotenuse = 13.

The Pythagorean Theorem says $(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2$ so

$w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\$

Now solve using the Quadratic Formula with $a=5,\,b=9,\,c=-80$ .

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2$

The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.

5 0

3 years ago

PLEASE HELPP ...its due today! :)

finlep [7]

Answer:

|-8| < |7| is FALSE

Step-by-step explanation:

The absolute value of -8 is 8, which is greater than 7, not less than.

7 0

2 years ago

Read 2 more answers

Solve for x: 3-x = 3(6x-9). Describe the process used to solve the equation and show each step.

FromTheMoon [43]

Answer:

$x=1.578$

Step-by-step explanation:

Given equation is $3-x = 3(6x-9)$

We need to find the value of $x$

$3-x = 3(6x-9)$

Distribute $3$ in the right-hand side

$3-x=18x-27$

Add both sides $x$

$3-x+x=18x+x-27\\3=19x-27$

Now, add both sides $27$

$3+27=19x-27+27\\30=19x$

Divide both sides by $19$

$\frac{30}{19}=\frac{19x}{19}\\x=1.578$

So, $x=1.578$

5 0

3 years ago

6a^2-[-5a-(9a^2-3a)]-[8+(-19a-8)]

Mamont248 [21]

The answer is 15a^2+21a

5 0

3 years ago

Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a the past year. Suppose a sa

strojnjashka [21]

Answer:

0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =$3.26 million

Standard Deviation, σ = $1.2 million 100

We assume that the distribution of salaries is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1.2}{\sqrt{100}} = 0.12$

P(mean salary of the 100 players was less than $3.0 million)

$P(x < 3) = P(z < \displaystyle\frac{3-3.26}{0.12}) = P(z < -2.167)$

Calculating the value from the standard normal table we have,

$P(Z < -2.167) = 0.015 \\P( x < 3) = 1.5\%$

0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million

6 0

3 years ago