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Sloan [31]
2 years ago
8

(c) 0.34 L = _________________ ml ​

Mathematics
1 answer:
lara31 [8.8K]2 years ago
8 0

Answer:

340 ml

Step-by-step explanation:

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Find the coefficient of the x^3 in the expansion of (2x-9)^5
il63 [147K]

Use the binomial theorem:

\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}

The <em>x</em> ³ terms occurs for 5 - <em>k</em> = 3, or <em>k</em> = 2, and its coefficient would be

\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}

8 0
3 years ago
Solve for z: 4 (z+6) -11 = 25<br> I need to show my work
mafiozo [28]

Answer:

z=3

Step-by-step explanation:

4(z+6)-11=25

add 11 to both sides

4(z+6)-11+11=25+11

simplify

4(z+6)=36

divide each side by 4

(4(z+6))/4=36/4

Simplify

z+6=9

subtract 6 from each side

z+6-6=9-6

simplify

z=3

6 0
3 years ago
Read 2 more answers
A publisher reports that 30% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is
Ierofanga [76]

Answer:

Test statistic = - 2.29

Pvalue = 0.0110

Step-by-step explanation:

The hypothesis :

H0 : p = 0.3

H1 : p < 0.3

Test statistic :

z=pˆ−p/√p(1−p)/n

pˆ = 0.2

Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110

Z = - 0.1 / √0.0019090

Z = - 0.1 / 0.0436931

Z = - 2.29

Test statistic = -2.29

The Pvalue :

P(Z < -2.29) = 0.0110

4 0
3 years ago
A store has clearance items that have been marked down by 30%. They are having a sale, advertising an additional 60% off clearan
Schach [20]

Answer:

28%

Step-by-step explanation:

We get 30% off the original price

The new price is (100-30) = 70$ of the original price

Let x = the original price

The new price is .7x

Now get get an additional 60% off.  We pay (100-60) = 40 percent of the price

Take .7x * .4

The new price is .7*.4 x

                               .28x

This is 28 percent of the original price x

8 0
3 years ago
One, no, or infinitely many solutions
rusak2 [61]

Answer:

Only one solution

Step-by-step explanation:

Given:

2c + 4 - 3c = -9 + c + 5

Find:

Number of solution

Computation:

2c + 4 - 3c = -9 + c + 5

-c + 4 = -4 + c

-2c = -8

c = 4

Only one solution

6 0
3 years ago
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