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lions [1.4K]
1 year ago
9

Solve the equation. Round answers to the nearest hundredth when necessary. 4x^2 = 100

Mathematics
1 answer:
Westkost [7]1 year ago
8 0
To solve 4(x-2)^2 = 16
divide each side by 4 to have (x-2)^2 = 4
take the square root of both sides
x-2 = -2 or x-2 = 2
add 2 to each side
x = 0 or x = 4
4 ( 0-2)^2 = 16
4 (-2)^2 = 16
4 (4) = 16 true
4 ( 4-2)^2 = 16
4 (2)^2 = 16
4 (4) = 16 true.
the values for x are 0 and 4.
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Consider a maximization linear programming problem with extreme points xi, x2, Xz. and x4. and extreme directions d1,. d2, and d
DIA [1.3K]

Answer:

Set of alternative optimal solution : 0 ≤ z ≤ 1.5

Hence There will be an infinite set of Alternative optimal solution

Step-by-step explanation:

considering Cx1 = 4

∴ C = 4 / x1

Cx2 = 6

∴ 4x2 - 6x1  = 0

2x2 - 3x1 = 0 ------ ( 1 )

considering Cx3 = 6

C = 6/x3

Cx4 = 3

∴ (6/x3) x4 - 3 = 0

= 2x4 - x3 = 0 ---- ( 2 )

attached below is the remaining part of the solution

set of alternative optimal solution : 0 ≤ z ≤ 1.5

There will be an infinite set of Alternative optimal solution

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3 years ago
Please help me it's the lateral area of a cone along with the surface area
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Answer:

the lateral area of cone is L=A﹣πr2

the surface area of cone is

a = \pi \: r \sqrt{h^{2} + r {}^{2}  }

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2 years ago
Gabriel brings 25 cupcakes to share with his classmates at school. At the end of the day, he has 3 cupcakes remaining. What perc
swat32

Answer:88%

Step-by-step explanation:

7 0
2 years ago
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A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.
zzz [600]

Answer:

CI=(66.54,78.46)                                  

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , \bar{X}=72.5\% , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}

From the t-table with 9 degree of freedom for \frac{\alpha}{2}=0.005

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The 99% confidence interval is given by,

CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}

CI=72.5 \pm 5.96

CI=(72.5+5.96),(72.5-5.96)

CI=(66.54,78.46)

8 0
2 years ago
The bill for Dino's lunch was $19.45. He wanted to leave 20% of the total bill as a tip. How much should the tip be?​
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0.2 is 1/5 in fraction form, which is why we can do that.

19.45/5 = 3.89

Dino should leave $3.89 as a tip.

7 0
3 years ago
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