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Rus_ich [418]
3 years ago
8

(4x+2y-6z) + (5y-2z+7x) + (-9z-2x-3y)

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer:

9x+4y-17z

Step-by-step explanation:

first open brackets with d signs

dat is= 4x+2y-6z+5y-2z+7x-9z-2x-3y

collect like terms and = 4x+7x-2x+2y+5y-3y-6z-2z-9z= 9x+4y-17z

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Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62, what is the percent error of Jocelyns esti
goldenfox [79]

Answer:    The percent error is -2.1352% of Jocelyn's estimate.

7 0
3 years ago
A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 y
jekas [21]

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / \sqrt{p*(1-p) / n}

x = 0.1235 - 0.10 / \sqrt{0.10 * 0.90 / 527}

x = 0.0235 / \sqrt{0.09 / 527}

x = 0.0235 / \sqrt{0.00017077798}

x = 0.0235 / 0.0130682049264618

x = 1.798257689731729

x = 1.798

P value = [1 - p(Z > 1.7980] (Right tailed test)

P value = 0.036089

The P - Value is very small, so <u>reject H0</u>

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.

7 0
3 years ago
11. Let f(x) = 2x² + 7x + 5
Lady_Fox [76]

Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

2,5

Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

7 0
3 years ago
Write this as a power of 2. ex ( 2^n) requires knowledge of negative exponents
Snowcat [4.5K]

Answer:

<h3>22.627417</h3>

Step-by-step explanation:

\frac{32}{ \sqrt[8]{16} }  \\

Simplify

\frac{32}{1.414213562}  \\   \\ = 22.627417

Method 2 :

By rationalizing the denominator

7 0
3 years ago
Regina purchased 1.75 pounds of turkey breast from local deli for $5.99 per pound. To the nearest cent, how much did she spend i
ivanzaharov [21]
$5.99/lbs x 1.75 lbs = $10.4825 = $10.48

I'd go with answer C!
6 0
3 years ago
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