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3 years ago

14

Steven purchased a bowl. the diameter of a bowl is 14cm. what is the circumference of bowl.

1 answer:

jasenka [17]3 years ago

3 0

Try going through the formula which is 2 pi r
so 2*3.14*7

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A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%

Mamont248 [21]

Answer:

a. $A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\$

b. $\frac{dA}{dt}= -11.25 \frac{mg}{h}$

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

$A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\$

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

$\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}$

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0

3 years ago

Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, wh

Elanso [62]

Answer:

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

Step-by-step explanation:

we know that

The dimensions of the garden in the actual are 10 ft by 5 ft

The dimensions of the garden on the scale drawing are 12 in. by 6 in

step 1

Find the scale factor

To find the scale factor divide the corresponding side on the scale drawing by the corresponding side in the actual

so

$\frac{12}{10}\ \frac{in}{ft}$

simplify

$1.2\ \frac{in}{ft}$

That means

1.2 inches in the drawing represent 1 foot in the actual

step 2

Find out the dimensions of the herb garden on the scale drawing

we know that

The dimensions of the herb garden in the actual are 2 ft by 5 ft

Multiply by the scale factor

so

$2\ ft=2(1.2)=2.4\ in$

$5\ ft=5(1.2)=6\ in$

therefore

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

5 0

3 years ago

Please help I don't get it<br> 13 POINTS !!

djyliett [7]

The answer is 114 x

5 0

3 years ago

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Write the solution in interval notation {x| 3 less than or equal to x}

klemol [59]

Answer:

Set in Interval Notation is: [ 3, ∞)

Step-by-step explanation:

Here, the given expression is:

R = {x| 3 less than or equal to x}

Here, the given set is given in the ROSTER FORM of set.

Now, converting the statement in mathematical form, we get:

R = { x : 3 ≤ x}

So, here: R is the SET OF AL ELEMENTS SUCH THAT each element is either EQUAL TO 3, or GREATER THAN 3.

Writing the st in SET BUILDER FORM, we get:

R = { 3, 4, 5, 6, ....... }

So, R in Interval Notation is: [ 3, ∞)

4 0

3 years ago

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A figure has 4 sides. One pair of opposite sides are each 2 inches long. The other pair of opposite sides are each 5 inches long

matrenka [14]

Your answer is 14 inches.

5 0

3 years ago

Read 2 more answers