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melisa1 [442]
3 years ago
13

Determine the value of the missing length. ROUND TO THE NEAREST TENTH if needed

Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

Answer:

C=5.1

Step-by-step explanation:

Using pythag (a²+b²=c²) we can determine c.

1²+5²=26

√26 = 5.099

c=5.1

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Place an operation sign between two of the digits to make the equation true 1 9 6 2 1 8=109
Shtirlitz [24]

Answer:

1,962 % 18= 109

Step-by-step explanation:

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Jocelyn sells necklaces for $8 each. It costs her $20 for
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We see that the slope intercept is y = 8x - 20. So if we substitute x with 2, because x represents the amount of necklaces sold and we are analyzing her net profit after selling 2 necklaces, that gives us y = 8(2) - 20. Which simplifies to y = -4. So by the time Jocelyn sells 2 necklaces, her net profit will be at -4.

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Consider two functions f and g on [1, 8] such that integral^8_1 f(x) dx = 9, integral^8_1 g(x) dx = 5, integral^8_5 f(x) dx = 4,
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I'll abbreviate the definite integral with the notation,

I(f(x),a,b)=\int_a^bf(x)\,\mathrm dx

We're given

  • I(f,1,8)=9
  • I(g,1,8)=5
  • I(f,5,8)=4
  • I(g,1,5)=3

Recall that the definite integral is additive on the interval [a,b], meaning for some c\in[a,b] we have

I(f,a,b)=I(f,a,c)+I(f,c,b)

The definite integral is also linear in the sense that

I(kf+\ell g,a,b)=kIf(a,b)+\ell I(g,a,b)

for some constant scalars k,\ell.

Also, if a\ge b, then

I(f,a,b)=-I(f,b,a)

a. I(2f,1,5)=2I(f,1,5)=2(I(f,1,8)-I(f,5,8))=2(9-4)=\boxed{10}

b. I(f-g,1,8)=I(f,1,8)-I(g,1,8)=9-5=\boxed{4}

c. I(f-g,1,5)=I(f,1,5)-I(g,1,5)=\dfrac{I(2f,1,5)}2-I(g,1,5)=10-3=\boxed{7}

d. I(g-f,5,8)=I(g,5,8)-I(f,5,8)=(I(g,1,8)-I(g,1,5))-I(f,5,8)=(5-3)-4=\boxed{-2}

e. I(7g,5,8)=7I(g,5,8)=7(5-3)=\boxed{14}

f. I(3f,5,1)=3I(f,5,1)=-3I(f,1,5)=-\dfrac32I(2f,1,5)=-\dfrac32(10)=\boxed{-15}

4 0
3 years ago
At Madison High school each student studies exactly one foreign language. Three fifths of the students taking Spanish, and one f
Step2247 [10]

3/5 = 0.6 = 60%

60% of the total take Spanish.

That leaves 40% for the other languages.

1/4 of 40% is 10% that take German.

40% - 10% = 30% take French.

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ohaa [14]

Answer:

y = 15.9

Step-by-step explanation:

y = 3 - 4.3x

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y = 3 + 12.9

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