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2 years ago

Put these numbers in order from least to greatest. -15-26/40, -15, 18/25, 15.85

1 answer:

6 0

-15 26/40=<span>-15.65
-15
18/25=0.72
15.85
so From least to greatest
-15.65, -15, 0.72, and 15.85

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To which subset of the real number system does the number 1.5¯(repeating decimal) belong to?

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C rational numbers

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irrational is just bunch of random numbers

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2 years ago

If rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D, what is the perimeter of A'B'C'D?

kramer

The ans is C) 90 units

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2 years ago

A sculpture is shaped like a sphere with 4 cones attached to it. Several dimensions of the sculpture, in feet, are shown in the

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volume of the center sphere = 4/3*PI*r^3

r = 3 ( given in the picture)

so 4/3 * 3.14 *3^3 = 113.04 cubic feet

volume of 1 cone: pi *r^2 *h/3

r = 3 and h=3 ( given in the picture)

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2 years ago

Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr

Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

$A(t) = A(0)e^{-kt}$

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, $A(10) = 0.7278A(0)$ . We use this to find k.

$A(t) = A(0)e^{-kt}$

$0.7278A(0) = A(0)e^{-10k}$

$e^{-10k} = 0.7278$

$\ln{e^{-10k}} = \ln{0.7278}$

$-10k = \ln{0.7278}$

$k = -\frac{\ln{0.7278}}{10}$

$k = 0.03177289938
$

Then

$A(t) = A(0)e^{-0.03177289938t}$

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

$A(5) = A(0)e^{-0.03177289938*5}$

$A(5) = 0.8531$

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

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2 years ago

Which integer represents each situation <br>deposit of $15

Lena [83]

Answer: +15

Step-by-step explanation: A deposit of $15 is an increase,

which means that it's positive.

So it can be written as +15.

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2 years ago