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3 years ago

14

True or False: To divide a decimal by a decimal, you must move the decimal in the dividend to

1 answer:

SSSSS [86.1K]3 years ago

7 0

Answer:

To divide by a decimal, multiply the divisor by a power of ten to make the divisor a whole number. Then multiply the dividend by the same power of ten. You can think of this as moving the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor.

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Express the probability that a die will land on a number less than 5 as a fraction

ziro4ka [17]

ANSWER

$P(E)=\frac {2} {3}$

EXPLANATION

When a die is tossed, the possible outcomes are

S={1,2,3,4,5,6}.

$n(S)=6$

The event of getting a number less than 5 is

E={1,2,3,4}

$n(E) = 4$

$P(E)=\frac{n(E)} {n(S)}$

$P(E)=\frac {4} {6}$

$P(E)=\frac {2} {3}$

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3 years ago

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A newly constructed fish pond contains 3000 liters of water. Unfortunately the pond has been contaminated with 5 kg of a toxic c

Paraphin [41]

Answer:

$\frac{dm}{dt}=-\frac{m}{30}$

Step-by-step explanation:

We are given that

Volume of water in fish pond,V=3000 L

Mass of toxic chemical=5 kg

Rate=200L/min

Removes chemical=50%

We have to find the differential equation for the time.

Let mass of toxic at any time t= m kg

Rate=Rate in-Rate out

$\frac{dm}{dt}=200\times 0-\frac{m}{3000}\times 200\times \frac{50}{100}$

$\frac{dm}{dt}=0-\frac{m}{30}$

$\frac{dm}{dt}=-\frac{m}{30}$

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3 years ago

Which pair of angles has congruent values for the sin x and the cos y?

BigorU [14]

Sin x = cos (90-x)

eg sin 42 = cos(90-42) = cos 48

so the answer is B

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3 years ago

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How do you solve these problems?

Fed [463]

Answer:

Step-by-step explanation:

Hello,

a. The area of region P is the area of the rectangle 1 * e minus the

$\displaystyle \int\limits^0_1 {e^x} \, dx=[e^x]^{1}_{0}=e-1$

So this is e - (e-1) = e - e + 1 = 1

b. The area of region P is the area of the rectangle 1 * e minus P and minus the

$\displaystyle \int\limits^0_1 {e^{-x}} \, dx=[-e^{-x}]^{1}_{0}=-e^{-1}+1$

So this is

$e - 1 - (-e^{-1}+1) = e-1+e^{-1}-1=e+e^{-1}-2$

This is around 1.08616127...

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago

Mr. Winkleman , a professional wine taster, made $32,800 last year . This year he had a raise of $2,132 . what was the percent o

Kipish [7]

Answer:

0.65

Step-by-step explanation:

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3 years ago

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