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sveticcg [70]
3 years ago
9

This is a REPOST.................

Mathematics
1 answer:
yanalaym [24]3 years ago
7 0
\cfrac{14ab^3}{7a^{-2}b^{-1}}=2a^{1-(-2)}b^{3-(-1)}=2a^{1+2}b^{3+1}=2a^3b^4
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The sum of 11.6 and 4.1 by rounding each number to the nearest whole.
Karo-lina-s [1.5K]
11.6 rounded to the nearest whole is 12 and 4.1 rounded to the nearest whole is 4 (rule is if the decimal [or number in general] is 4 or lower, the whole stays the same and if the number is 5 or higher, the whole goes up by one). 12+4=16
3 0
2 years ago
If a, b, c are in A.P. show that<br>a (b + c)/bc,b(c + a) /ca, c(a-b )/bc<br>are in A.P.<br>​
vfiekz [6]

Answer:

Step-by-step explanation:

\frac{a(b+c)}{bc} ,\frac{b(c+a)}{ca} ,\frac{c(a+b)}{ab} ~are~in~A.P.\\if~\frac{ab+ca}{bc} ,\frac{bc+ab}{ca} ,\frac{ca+bc}{ab} ~are~in~A.P.\\add~1~to~each~term\\if~\frac{ab+ca}{bc} +1,\frac{bc+ab}{ca} +1,\frac{ca+bc}{ab} +1~are~in~A.P.\\if~\frac{ab+ca+bc}{bc} ,\frac{bc+ab+ca}{ca} ,\frac{ca+bc+ab\\}{ab} ~are~in~A.P.\\\\divide~each~by~ab+bc+ca\\if~\frac{1}{bc} ,\frac{1}{ca} ,\frac{1}{ab} ~are ~in~A.P.\\if~\frac{a}{abc} ,\frac{b}{abc} ,\frac{c}{abc} ~are~in~A.P.\\if~a,b,c~are~in~A.P.\\which~is~true.

3 0
3 years ago
During a three-day period, a provincial hospital received 24 new patients and discharged 6 on the first day, received 8 and disc
IRINA_888 [86]

Answer:

1 : 3

Step-by-step explanation:

Given the following :

First day :

Patient received = 24

Patient discharged = 6

Second day :

Patient received = 8

Patient discharged = 21

First day :

Patient received = 9

Patient discharged = 6

Number of patient in the hospital at the end of the third day:

Patients received = (24 + 8 + 9) = 41

Patients discharged = (6 + 21 + 6) = 33

Patient received - patient discharged

= (41 - 33) = 8

Number of patients in hospital at the start of the three day period :

Patient received on first day = 24

Patient at the end : patient at the start

8 : 24 = 1 : 3

8 0
3 years ago
an 8 by 18 ft wall has three 4 by 5 ft windows.the area of the three windows is what percent of the area of the entire wall (inc
VikaD [51]
Area of windows = (3×4×5)
= 60
area of wall = 8×18
= 144
=(60÷144)×100
=0.4167 × 100
=41. 67% or
=42 %
3 0
3 years ago
Read 2 more answers
Which sequence matches the recursive formula? an=2an-1+5, where a1=5. A) 5,10,15,20 B) 5,15,35,75. C)5,15,25,35. D) 5,20,35,40
Dominik [7]

The recursive formula

a_n = 2a_{n-1}+5

means that, to compute the next value, you have to double the previous one and then add 5.

So, we start with 5. To get the second term, we double it and add five, so we have

a_2 = 2\cdot 5+5 = 10+5 = 15

Next, we will double 15 and add 5:

a_3 = 2\cdot 15 + 5 = 30+5 = 35

So, the answer is B, because it's the only option starting with 5,15,35.

Just to check, let's compute the last step:

a_4 = 2\cdot 35 + 5 = 70+5 = 75

Which confirms option B

6 0
3 years ago
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