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RoseWind [281]
4 years ago
12

768,384,192 what would the explicit formula be ? a7=

Mathematics
1 answer:
Igoryamba4 years ago
3 0

Answer:

a7 = 12,  a11= 47

Step-by-step explanation:

768, 384, 192, 96, 48, 24, 12

a(n) = 768 / (2∧X - 1)

a(7) = 768 / 2∧6 = 768 / 64 = 12

7, 11, 15, 19 23, 17, 31, 35, 39, 43, 47

a(n) = 7 + 4 * (X-1)

a(11) = 7 + 4 * (11-1) = 7 + 40 =47

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Evgen [1.6K]
It is an accute angle.
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3. Sum of digits of a two digit number is 14. When 18 is added to the original number, then the new number is obtained by exchan
Nitella [24]

Answer:

let the numbers be xy

general form of the number =10x+y

sum of digits of a number =14

x+y=14………[1]

if 18 is added to the number, then digits are interchanged

10x+y+18=10y +x

9x-9y=-18

X-y=-2………[2]

the linear equations are 1) x+y=14

2) X-y=-2

adding [1],[2]

2x=12

x=6

x+y=14

y=14-x

y=14-6

y=8

there fore the number =10*6+8

=68

check:-

1)6+8=14

2)68+18=86

I hope this helped!

Step-by-step explanation:

6 0
4 years ago
Your friend believes that he has found a route to work that would make your commute faster than what it currently is under simil
Strike441 [17]

Answer:

<em>The range of p-values </em>

<em>0.01 < p < 0.025 </em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given random sample size 'n' = 7

Assume that the populations are normally distributed

Null Hypothesis :H₀:μd=0.

Alternative Hypothesis:H₁:μd<0.

Degrees of freedom

ν = n-1 =7-1 =6

given the test statistic  t = - 3.201

we will use single tailed test in t-distribution table

<em>The test statistic t= 3.201 is lies between the critical values is 0.01 and 0.025</em>

<em>The range of p-values </em>

<em>0.01 < p < 0.025  (check t- distribution table single tailed test) </em>

<u><em>Final answer:- </em></u>

<em>The range of p-values </em>

<em>0.01 < p < 0.025 </em>

5 0
3 years ago
The local zoo has some kangaroos and some rabbits, There are 70 feet and 26 heads in total. How many kangaroos and how many rabb
prisoha [69]

Answer:

y=17

Step-by-step explanation:

4x+2y=70

x+y=26

2x+2y=52

2x=18

x=9

y=26-9

y=17

7 0
3 years ago
Read 2 more answers
Amir stands on a balcony and throws a ball to his dog, who is at ground level.
Mariana [72]

Answer:

3 seconds

Step-by-step explanation:

To find the highest point, we want to find the vertex of the parabola.  Since the function will be negative, the vertex will represent the highest point.  

To find the vertex we want this equation in vertex form:

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The vertex form is :

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so our vertex is (3,16)

This means the highest point will be 16 when x = 3

6 0
3 years ago
Read 2 more answers
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