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Elden [556K]
3 years ago
7

Monica measures 91 milliliters of water into 9 tiny beakers. she measures an equal amount of water into the first 8 beakers. she

pours the remaining water into the ninth beaker.It measures 19 milliliters. how many milliliters of water are in each of the first eight beakers
Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0
To determine the amount of water in the first 8 beakers, you will subtract the 19 ml that are in the 9th beaker from the total to see how much water was actually put into the first 8 beakers.

91 ml - 19 ml = 72 ml.

The 72 ml are divided evenly between 8 beakers.

72/8 = 9 ml

There would be 9 ml of water in each of the first 8 beakers.
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Solve the initial value problem yy′+x=x2+y2‾‾‾‾‾‾‾√ with y(1)=8‾√. To solve this, we should use the substitution u= x^2+y^2 help
leva [86]

Looks like the equation is

yy'+x=\sqrt{x^2+y^2}

Substitute u(x)=x^2+y(x)^2, so that u'=2x+2yy'. Then the equation is the same as

\dfrac{u'-2x}2+x=\sqrt u\implies u'=2\sqrt u\implies\dfrac{\mathrm du}{2\sqrt u}=\mathrm dx

Integrate both sides to get

\sqrt u=C\implies\sqrt{x^2+y^2}=C

Given that y(1)=\sqrt8, we have

\sqrt{1^2+(\sqrt8)^2}=C\implies C=3

so the solution is

\sqrt{x^2+y^2}=3

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2 years ago
The expression (x^-8) (x^3) is equivalent to the expression x^n. what is the value of n?​
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Answer:

n=-5

Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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A survey revealed that 56% of the students at North Valley high school are involved with in a sports team. The survey also showe
oksano4ka [1.4K]

Answer:

The probability that a student who is involved in a sports team also participated in the prom dance = 0.1344

Step-by-step explanation:

56% of the students are involved in a sport team

56% = 0.56

According to the question, it is stated that 24% of the students at the school that are involved in a sports team also participated in the prom dance.

24% = 0.24

This means that we are going to find 24% of the original 56%, since 24% of them also participated in the prom dance.

The probability that a student who is involved in a sports team also participated in the prom dance = 0.24 * 0.56

The probability that a student who is involved in a sports team also participated in the prom dance = 0.1344

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2 years ago
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