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olasank [31]
3 years ago
15

㏒₅(x+4)+㏒₅(x+1)=2 solved

Mathematics
2 answers:
balu736 [363]3 years ago
8 0

Answer:

x= \frac{-5+\sqrt{109} }{2}

or dec. is x= 2.72

AlekseyPX3 years ago
5 0

Answer:x=2.7 x=-7.7

Step-by-step explanation:

Log5(x+4)+Log5(x+1)=2

Log5((x+4)(x+1))=2

Log5(x^2+x+4x+4)=2

Log5(x^2+5x+4)=2

x^2+5x+4=5^2

x^2+5x+4=25

x^2+5x+4-25=0

x^2+5x-21=0

Solving the quadratic equation we get x=2.7 and -7.7

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Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing
photoshop1234 [79]

Answer:

P-value ≈ 0.3463

Step-by-step explanation:

Hypothesis test would be

H_{0}:p=0.20

H_{a}:p>0.20

We need to calculate the z-score of sample proportion and then the corresponding P-value.

z-score can be calculated as:

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of specimens yield before the theoretical point (\frac{9}{40}=0.225)
  • p is the proportion assumed under null hypothesis. (0.20)
  • N is the sample size (40)

Using the numbers

z=\frac{0.225-0.2}{\sqrt{\frac{0.2*0.8}{40} } } =0.3953

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4 0
3 years ago
Write x^2 − 8x + 13 = 0 in the form (x −
padilas [110]
If you would like to write the equation in the above form, you can calculate this using the following steps:

x^2 - 8x + 13 = 0
(x - 4)^2 = x^2 - 8x + 16
(x - 4)^2 - 3 = 0
(x - 4<span>)^2 = 3
</span>
The correct result would be (x - 4<span>)^2 = 3.</span>
4 0
3 years ago
Solve the inequality.
Karolina [17]
The answer is c.g>-7
6 0
3 years ago
Find Interquartile Range AND Range.
pav-90 [236]

Answer:

IQR: 20

Range: 52

Step-by-step explanation:

IQR = 88 - 68 = 20

Range = 100 - 48 = 52

7 0
3 years ago
Read 2 more answers
Mark and don are planning to sell each of their marble collections at a garage sale. if don has 4 more than 5 times the number o
natita [175]

Mark and Don have to sell 11 and 59 marbles respectively.

<em><u>Explanation</u></em>

Lets assume, the number of marbles Mark has  is x

As, Don has 4 more than 5 times the number of marbles mark has, so the number of marbles Don has = 5x+ 4

Question says that the total number of marbles is 70. So, the equation will be...

x+(5x+4)= 70\\ \\ 6x+4= 70 \\ \\ 6x = 70-4\\ \\ 6x=66 \\ \\ x= \frac{66}{6}= 11

<em>So, the number of marbles Mark has = 11 </em>

<em>and the number of marbles Don has = (5*11)+4 = 55+4= 59</em>

6 0
3 years ago
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