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RoseWind [281]
3 years ago
13

2.2⋅10^6−4.3⋅10^5 I need help I am confused on the answer.

Mathematics
1 answer:
Tanzania [10]3 years ago
8 0
1,770,000
find the first part of the equation (2200000) and then the second part (430000) and subtract
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If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).
Cloud [144]

Step-by-step explanation:

\cos \theta  =  \frac{1}{ \sec\theta }  =  -  \frac{3}{ \sqrt{30} }  =  -  \frac{3 \sqrt{30} }{30}   =  -  \frac{ \sqrt{30} }{10}

\cos( \frac{\pi}{2} -  \theta )=  \cos \frac{\pi}{2}  \cos \theta  +   \sin \frac{\pi}{2}  \sin \theta

Note that

\sin( - \theta) =  -  \sin \theta

\cos \frac{\pi}{2}  = 0 \:  \:  \:  \:  \:  \sin \frac{\pi}{2}  = 1

Therefore,

\cos( \frac{\pi}{2} -  \theta )  = 0.97

5 0
3 years ago
In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard devi
Nataliya [291]

Answer:

(27.3692 ; 44.6308)

Step-by-step explanation:

Mean, xbar = 36

Standard deviation, s = 11

Sample size, n = 12

Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.718 * 11/sqrt(12) = 8.6308

Confidence interval :

Lower boundary : 36 - 8.6308 = 27.3692

Upper boundary : 36 + 8.6308 = 44.6308

(27.3692 ; 44.6308)

3 0
3 years ago
if the 300 inspected light bulbs represent 20% of an hour's total production of light bulbs, how many light bulbs are produced i
KIM [24]
Hi there! 
So to get this we just need to multiply 300 by 5 because it is 1/5 of the hour work. 300 x 5 = 1500 light bulbs. Hope this helps!


6 0
3 years ago
Are the side lengths congruent?
Serhud [2]

Answer:

The side lengths are not congruent. Evidence: Becuase the line shows that one is higher. None of the sides are parallel. Evidence: none of the lines of the shape are on the exact same line. No the adjacent sides are not perpendicular. Evidence: They are crooked and you can tell becuase of how the shape is on the line. The most specific shape is a rhombus. A rhombus is a crooked square. This isn't a perfect rhombus.

Step-by-step explanation:

5 0
2 years ago
Find the rule for the sequence<br> First term: 2 3/4<br> Sixth term: 3 7/12<br> Rule:_______
Fantom [35]
K, so areitmetic

an=a1+d(n-1)
a1=first term
d=common differnce

we are given
a1=2 and 3/4
6th term is 3 and 7/12

so

a6=3 and 7/12=2 and 3/4+d(6-1)
3 and 7/12=2 and 3/4+d(5)
minus 2 and 3/4 both sides
10/12=5d
divide both sides by 5 or multiply both sides by 1/5
2/12=d
1/6=d


a_n=2 \frac{3}{4}+ \frac{1}{6}(n-1) or
a_n=2 \frac{7}{12}+ \frac{1}{6}n
that is the rule
4 0
3 years ago
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