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3 years ago

All the ones in blank please

Mathematics

2 answers:

Debora [2.8K]3 years ago

7 0

3. D
4. 50
5. 89/100
These are your answers

olya-2409 [2.1K]3 years ago

6 0

4- 130 degrees
5-89/100

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Which of the following shows how to write 8,240 pennies as dollars?

olasank [31]

Answer:

$ 82.40

Step-by-step explanation:

you divide

100 pennies in a dollar

8240/100=82.40

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3 years ago

What does a plus over a minus sign mean? I'm a science student and am doing some data analysis for one of my reports. Am not gre

harkovskaia [24]

That symbol represents "plus out minus". usually represents uncertainty if it is beside a number.

e.g. 3± 0.3 means that the actual answer lies between 2.7 and 3.3

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BD and AC are chords that intersect at point Y. A circle is shown. Chords B C and A C intersect at point Y. The length of B Y is

user100 [1]

Answer:

4 units

Step-by-step explanation:

we know that

The Intersecting Chord Theorem states that: When two chords intersect each other inside a circle, then the products of their segments are equal.

In this problem

$(BY)(YD)=(AY)(YC)$

substitute the given values

$(3)(8)=(x)(6)$

solve for x

$24=6x\\x=24/6\\x=4\ units$

therefore

The length of segment AY is 4 units

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3 years ago

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Oil is leaking out of a ruptured tanker at the rate of r(t)=30e^(?0.09t) thousand liters per minute.

zmey [24]

Answer:

At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.

At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.

331.82 thousands of liters leak out during the first hour.

Step-by-step explanation:

The oil leakage rate, in thousand liters per minute, is:

$r(t) = 30e^{-0.09t}$

A. At what rate, in thousands of liters per minute, is the oil leaking out

At t = 0:

This is r(0)

$r(t) = 30e^{-0.09t}$

$r(0) = 30e^{-0.09*0} = 30$

At t = 0, oil is leaking out of a ruptured tanker at the rate of 30 thousand liters per minute.

At t = 60:

This is r(60)

$r(t) = 30e^{-0.09t}$

$r(60) = 30e^{-0.09*60} = 0.1355$

At t = 60, oil is leaking out of a ruptured tanker at the rate of 0.1355 thousand liters per minute.

B. How many thousands of liters leak out during the first hour?

r(t) is in thousand liters per minute.

Each hour has 60 minutes.

So the answer to this question is the integral from 0 to 60 of r(t).

Integral of the exponential function

$\int {e^{at}} \, dt = \frac{e^{at}}{a}$

$\int\limits^{60}_0 {r(t)} \, dt$

$\int\limits^{60}_0 {30e^{-0.09t}} \, dt$

$-333.33e^{-0.09t}$ , from t = 0 to t = 60.

This is

$-333.33e^{-0.09*60} - (-333.33e^{-0.09*0}) = 331.82$

331.82 thousands of liters leak out during the first hour.

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4 years ago

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DiKsa [7]

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