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3 years ago

How can 2x^2=x^2+4x+8 be set up as a systems of equations

Mathematics

1 answer:

DanielleElmas [232]3 years ago

8 0

Answer:

Step-by-step explanation:

we are asked in the problem to get the linear equations that results to 2x2 =x2 + 4x +8. In this case, the two equations on each sides can be equal to y in which the two equations are then identical. The systems of equations that has the right answer is C.

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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:

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

$d = 0.5778$

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

3 years ago

A semicircle is attached to the side of a rectangle as shown.

laiz [17]

Answer:

$58.8\ mm^2$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

$A=bh$

where

$b=9\ mm\\h=3\ mm$

substitute

$A=(9)(3)=27\ mm^2$

step 2

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

we have

$r=9/2=4.5\ mm$ ---> the radius is half the diameter

$\pi =3.14$

substitute

$A=\frac{1}{2}(3.14) (4.5)^{2}$

$A=31.8\ mm^2$

step 3

Find the area of the figure

$A=27+31.8=58.8\ mm^2$

4 0

3 years ago

Read 2 more answers

A flower shop ordered a shipment of red, blue, and white flowers.

Amiraneli [1.4K]

Answer:

5545

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

eugene wants to buy jeans at a store that is giving $10 off everything. the tav on the jeans is marked 50% off. the original pri

kow [346]

The answer is $29.99. First, you add $10 to $49.98 which equals 59.98. Next, set up a proportion: x over 59.98 equals 50 over 100. 59.98 times 50 equals 2,999. Now divide 2,999 by 100 and you get your answer.

3 0

3 years ago

Find the two positive intergers that satisfy the given requirements. The difference of numbers is 90 and the larger number is th

sergiy2304 [10]

Answer:

135

Step-by-step explanation:

x-y = 90

x = 3y

3y - y = 90

2y = 90

y = 45

x = 3×45 = 135

5 0

3 years ago