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lisabon 2012 [21]

2 years ago

15

The weigh of darrins phone is 3.405 ounces. what is 3.405 written in expanded form

1 answer:

topjm [15]2 years ago

7 0

3 x 1 + 4 x 1/10 + 5 x 1/1,000

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A company's revenue from selling x units of an item is given as R=1700x-2x^2 . If sales are increasing at the rate of 25 units p

viva [34]

Answer:

The daily rate is: 17500 units per day

Step-by-step explanation:

Given

$R = 1700x - 2x^2$

$\frac{dx}{dt} = 25$

Required

Find $\frac{dR}{dt}$ when $x = 250$

We have:

$R = 1700x - 2x^2$

Differentiate both sides with respect to time

$\frac{dR}{dt} = 1700\frac{dx}{dt} - 4x\frac{dx}{dt}$

Factorize

$\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}$

Substitute: $\frac{dx}{dt} = 25$ and $x = 250$

$\frac{dR}{dt} = (1700- 4x)\frac{dx}{dt}$

$\frac{dR}{dt} = (1700- 4*250)*25$

$\frac{dR}{dt} = (1700- 1000)*25$

$\frac{dR}{dt} = 700*25$

$\frac{dR}{dt} = 17500$

5 0

2 years ago

Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost? 3/4 of a foot?

Dima020 [189]

Step-by-step explanation:

one foot cost 3 so a fourth of one foot is one fourth of three which is .75 and .75 x 3 is 2.25

6 0

2 years ago

Jerry bought a case of 24 fancy pencils for $6.00. He sold 12 for $5.00, six for $4.00, and six for $3.50. How much was Jerry's

Svetradugi [14.3K]

Answer:

$6.50

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Write the equation of a sine or cosine function to describe the graph.

juin [17]

Step-by-step explanation:

The equation of a trigonometric function is

$y = a \sin(bx + c) + d$

or

$y = a \: cos(bx + c) + d$

Let define some variables,

D is the midline, this refers to the midpoint of the highest y value and lowest y value. Some textbooks call it the vertical translations but it is the same thing.

A is the amplitude. The amplitude is the distance from the midline to the highest y value. Some distance is non negative, the formula for the amplitude is

$|a|$

The period is how often the wave repeats itself on a interval.

Period can't be negative so the formula for period is

$\frac{2 \pi}{ |b| }$

To find the period, look at the extreme points.

The phase shift tells us if the sinusoid have been shifted to the right or left. The formula for the phase shift

$bx + c = 0$

Solving for x gives us

$x = \frac{ - c}{b}$

If our x is negative, we have a phase shift to the right

If our x is Positve, we have a phase shift to the left.

Let solve this equation, Let use Sine since sin(0)=0,

The smallest y value here is 0, and the highest is 2, so the amplitude is 1.

$d = 1$

Next, the distance from the max to the midline is 1, as well the min to the midline is also 1.

So

$a = 1$

We have minimum at 0, and 8, so our period is 8.

$\frac{2\pi}{b} = 8$

Solve for b,

$\frac{\pi}{4} = b$

Plug this in the equation.

$1 \sin( \frac{\pi}{4} x) +$

$y = \sin( \frac{\pi}{4} x) + 1$

The graph passes through (4,2) so let see if that holds true for our equation

$2 = \sin( \frac{\pi}{4} (4)) + 1$

$2 = \sin(\pi) + 1$

$2 = 0 + 1$

$2 = 1$

This doesn't hold true, so we must have a phase shift

Notice that

$\sin( \frac{\pi}{2} ) = 1$

So if we shift this pi/2 to the right, we can get our equation to be true.

$y = \sin( \frac{\pi}{4} x - \frac{\pi}{2} ) + 1$

This equation works so our equation is

$y = \sin( \frac{\pi}{4} x - \frac{\pi}{2} ) + 1$

3 0

2 years ago

Is it possible to construct a triangle using segment lengths of 5,8 and 2? Why or why not?

ivanzaharov [21]

No because the sum of any two sides has to be greater than the third side and 5 plus 2 is not greater than 8

4 0

3 years ago