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AlladinOne [14]
3 years ago
5

Quadratic equation by completing the square x^2+6x=18

Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0
x^2+6x=18\\ x^2+6x+9=27\\ (x+3)^2=27\\ x+3=\sqrt{27} \vee x+3=-\sqrt{27}\\ x=-3+3\sqrt 3 \vee x=-3-3\sqrt3
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Plalslslsllslslslslsps helpp
Nezavi [6.7K]

Answer:

1064 ft.

Step-by-step explanation:

Start by sketching out a figure to represent the situation, it should look something like this:

(See picture)

(Figure definitely not drawn to scale)

The angle marked in red measures 4.3°, then we can use the law of sines to solve for the height of the Eiffel Tower (represented as the variable x):

\frac{sin(4.3)}{80}= \frac{sin85.7}{x}\\x=\frac{80sin85.7}{sin4.3}\\x=1063.96592818...

Rounding gives 1064 ft.

7 0
2 years ago
A manufacturing manager reports to the CEO that 5% of products that come off the assembly line are defective. A study is perform
grandymaker [24]

Answer:Yes, the conditions for inference are met

Step-by-step explanation:

I took the test edge 2020

4 0
3 years ago
Determine which product has the lower unit price: a 5-pound bag of sugar for $1.86 or a 12-pound bag of sugar for $4.45?
katen-ka-za [31]

12 \div 5 = 2.4
so
1.86 \times 2.4 = 4.46
so at the same weight, the 5 pounder costs 1 cent more
5 0
3 years ago
Read 2 more answers
To make 5 dinner rolls, 1/2 cup of flour is used. How much is needed to make one dinner roll?
posledela
To make 5 dinner rolls, 1/2 cup of flour is used. How much is needed to make one dinner roll?
0.5 ÷ 5 = 0.1 ( for one dinner roll)

How many cups of flour are needed to make 3 dozen rolls?
3 × 12 = 36
0.1 × 36 = 3.6 (for 3 dozen rolls)
8 0
3 years ago
Read 2 more answers
Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research
kolbaska11 [484]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

Yes the researcher can  conclude that the supplement has a significant effect on cognitive skill

b

d =  0.5778

c

The result of this hypothesis test shows that there is sufficient evidence to  that the supplement had significant effect.The measure of effect size is  large due to the large value of Cohen's d (0.5778 > 0.30 )

Step-by-step explanation:

From the question we are told that

  The sample size is  n=16

    The sample mean is  M  =  50.2

    The standard deviation is \sigma  = 9

    The  population mean is  \mu =  45

     The level of significance is  \alpha =  0.05

The null hypothesis is H_o  \mu =45

The alternative hypothesis is H_a  \mu \ne 45

Generally the test statistics is mathematically represented as

          z =  \frac{M -  \mu}{\frac{\sigma}{\sqrt{n} } }

=>       z =  \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }

=>       z =  2.31

Generally the p-value is mathematically represented as

     p-value  =  2 *  P(Z >  z )

      p-value  =  2 *  P(Z >  2.31 )

From the z-table  

      P(Z >  2.31 ) = 0.010444

=>     p-value  =  2 *  0.010444

=>     p-value  =  0.021

From the obtained values we see that p-value <  0.05

 Decision Rule

 Reject the null hypothesis

Conclusion

There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults

Generally the Cohen's d for this study is mathematically represented as

    d =  \frac{M  -  \mu}{\sigma }

=>  d =  \frac{50.2 -45}{9 }

=>  d =  0.5778

3 0
4 years ago
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