How to put 24.357 in expanded form?

The graph shows the amount of a medicine min milligrams, remaining in a patient's body hours after receiving an injection . The

aksik [14]

An exponential function is a function defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>(a) The factor at which the medicine decreased, in 1.5 hour</h3>

From the graph, we have the following ordered pairs

(x,y) = (0,270) and (1.5,80)

Given that:

$y = ab^x$

At point (0,270), we have:

$ab^0=270$

$a= 270$

At point (1.5,80), we have:

$ab^{1.5} = 80$

Substitute 270 for a

$270b^{1.5} = 80$

Divide both sides by 270

$b^{1.5} = 0.2963$

Take 1.5th root of both sides

$b =0.44$

Hence, the medicine decrease in the hour and half at a factor of 0.44

<h3>(b) The factor at which the medicine decreased in the first half hour, and the first hour</h3>

In (a), we have:

The decay factor (b) to be 0.44

This represents the factor at which the medicine decreased throughout.

Hence, the medicine decrease in the first half hour, and the first hour at a factor of 0.44

<h3>(c) The exponential equation</h3>

In (a), we have:

$a= 270$

$b = 0.44$

So, the exponential equation is:

$y =270 * 0.44^x$

In terms of m and h, we have:

$m =270 * 0.44^h$

Hence, the equation relating m to h is $m =270 * 0.44^h$

Read more about exponential equations at:

brainly.com/question/11832081

6 0

2 years ago

The first side of a triangle is 3 m shorter than the second side. The third side is 4 times as long as the first side. The perim

arsen [322]

I would have to say 2.3 but i dont know the real answer thats what i calculated

8 0

3 years ago

TIMED!!!

guajiro [1.7K]

Answer: Last option.

Step-by-step explanation:

The total amount of concrete in the ramp ( $V_t$ ) will be the sum of the volume of the rectangular prism ( $V_{rp}$ ) and the volume of the triangular prism ( $V_{tp}$ )

$V_t=V_{rp}+V_{tp}$

The formulas are:

$V_{rp}=lwh$

Where "l" is the lenght, "w" is the width and "h" is the height.

$V_{tp}=\frac{bhl}{2}$

Where "l" is the lenght, "b" is the base and "h" is the height.

Substituting, we get:

$V_t=V_{rp}+V_{tp}\\\\V_t=lwh+\frac{bhl}{2}\\\\V_t=(18in)(6in)(6in)+\frac{(8in)(6in)(18in)}{2}\\\\V_t=1,080in^3$

4 0

3 years ago

Read 2 more answers

Miller Company’s total sales are $123,000. The company’s direct labor cost is $14,760, which represents 30% of its total convers

lana66690 [7]

1.

Direct labor cost = $14760

This is 30% of total conversion cost so, conversion cost = 14760/30%

= $49200

Total conversion cost = Direct labor + Manufacturing overhead

Manufacturing overhead = Total conversion cost - Direct labor

=49200-14760 = $34440

Hence, The total manufacturing overhead cost= $34440

2.

Direct labor = $14760

This is 40% of prime cost. So total prime cost = 14760/40%

= $36900

Total prime cost = Direct material + Direct labor

Direct material = Total prime cost - Direct labor

= 36900 - 14760 = 22140

Hence, the total direct materials cost = $22140

3.

Total manufacturing cost = Direct materials + Direct labor + Manufacturing overhead

= 22140+14760+34440 = $71340

4.

Variable selling and administrative cost = 5% of 123000

=$ 6150

5.

Total variable cost = Direct materials + Direct labor + Sales commission

= 22140 + 14760 + 6150 =$43050

6.

Fixed selling and administrative expense = Total selling and administrative expense - Sales commission = 18450-6150 = $12300

Total fixed cost = Manufacturing overheads + Fixed selling and administrative expense

= 34440+12300 = $46740

7.

Total contribution margin = Sales - Total variable cost

= 123000 - 43050 = $79950

6 0

3 years ago

Read 2 more answers

You invested 1000 in one account and 4000 another account both accounts have the same interest rate over the same amount of time

maksim [4K]

The account with 4,000 will gain more interest over time because theres more to build interest onto.

6 0

2 years ago