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Gala2k [10]
3 years ago
11

An angle measures 29° . what is the measure of its complement?

Mathematics
1 answer:
Olenka [21]3 years ago
7 0
Complementary angles add up to 90 so 90-29=the complement, which is 61.
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Simplify the expression. Write your answer using only positive exponents. Evaluate any numerical powers.
gtnhenbr [62]

Answer:

  • 9x⁵

Step-by-step explanation:

<u>Use properties of exponents:</u>

  • <u />a^{b} a^{c} = a^{b+c}, (a^{b} ^)^{c} = a^{bc}, 1/a^{-b}  = a^{b}

<u>Simplify the given expression:</u>

  • 3⁴⋅x⋅(3/x²)⁻² =
  • 3⁴·x·(3x⁻²)⁻² =
  • 3⁴·x·(3⁻²)(x⁻²ˣ⁻²) =
  • 3⁴⁻²·x¹⁺4 =
  • 3²·x⁵ =
  • 9x⁵

5 0
2 years ago
Let E = {(x, y) e R2|xy &gt; 0}. Determine whether E is a subspace of R2 . X3
gayaneshka [121]

Answer:

E is not a subspace of \mathbb{R}^2

Step-by-step explanation:

E is not a subspace of  \mathbb{R}^2

In order to see this, we must find two points (a,b), (c,d) in  E such that (a,b) + (c,d) is not in E.

Consider

(a,b) = (1,1)

(c,d) = (-1,-1)

It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.  

But (a,b) + (c,d) = (1-1, 1-1) = (0,0)

and (0,0) is not in E.

By the way, it can be proved that in any vector space all sub spaces must have the vector zero.

5 0
3 years ago
If i have 7 brownies and i need to feed 5 people
Alina [70]

each person gets 1 brownie with 2 left over.

(dividing with remainders)

each person gets 1.4 brownies

(dividing with decimals)

8 0
3 years ago
Read 2 more answers
Calculate the area of the shaded region. Use 3.14 for pi; round to the nearest tenth, if needed. HELP PLSSS I HAVE TO GET THIS D
icang [17]

Answer:

87.48

Step-by-step explanation:

First find the area of the square

12^2=144

find area of the 2 circles

9*3.14

but theres 2

18*3.14=56.52

144-56.52=87.48

4 0
3 years ago
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of peopl
koban [17]

Answer:

<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>

(0.3583 , 0.4579)

Step-by-step explanation:

<u>Explanation</u>:-

<em>Given sample size 'n' = 517</em>

Given data Suppose a sample of 517 suspected criminals is drawn. Of these people, 211 were captured.

'x' =211

<em>The sample proportion</em>

                                   p^{-}  = \frac{x}{n} = \frac{211}{517} =0.4081

                                  q^{-} = 1-p^{-} = 1- 0.4081 = 0.5919

<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>

(p^{-}  - Z_{\frac{\alpha }{2}  } \sqrt{\frac{p^{-} (1-p^{-} )}{n} } , p^{-} + Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} }{n} } )

(0.4081  - 2.326   \sqrt{\frac{0.4081 (0.5919 )}{517} } , 0.4081+ 2.326\sqrt{\frac{0.4081(0.5919 }{517} } )

(0.4081-0.0498 , 0.4081 +0.0498)

(0.3583 , 0.4579)

<u><em>Conclusion</em></u>:-

<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>

(0.3583 , 0.4579)

7 0
3 years ago
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