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amm1812
3 years ago
8

What is the next number of the pattern. 2 7 26 101 400

Mathematics
2 answers:
aliina [53]3 years ago
7 0
the\ sequence\ can\ be\ determined\ recursively:\\\\ \left \{ {\big{a_1=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \atop\big {a_{n+1}=4\cdot a_n-n}} \right. \\\\\\a_6=4\cdot a_5-5=4\cdot400-4=1600-5=1595\\\\Ans.\ the\ nxt\ term\ is\ 1595.
Paladinen [302]3 years ago
6 0
2x4-1
7x4-2
26x4-3
101x4-4
400x4-5
and so on . .  
just do the math. 

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In Exercises 15-18, find the measure of the exterior angle.​
valina [46]

Answer:

The measure of the exterior angle is 92 degrees

Step-by-step explanation:

Problem 16)

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

In this problem

(2x-2)\°=x\°+45\°

solve for x

2x-x=45+2

x=47\°

Find the measure of the exterior angle

(2x-2)\°=(2(47)-2)=92\°

6 0
3 years ago
Another math question :)
Travka [436]

Lets x = Mary's age

Emily is there years older than twice her sister Mary's age = 2x + 3

Sum of both is less than 30:

x + 2x + 3 < 30

Solve for x

3x + 3 < 30

3x < 27

x < 9

Mary's age = 9

Inequality represents Mary's possible age:

0 < x < 9

Answer is the second one

0 < x < 9


4 0
2 years ago
Read 2 more answers
A machine needs two of its gears replaced. You find two gears, one manufactured 5 years ago and the other manufactured 10 years
Mazyrski [523]
<span>A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago. The specifications sheet says that the chance of failure is 5% after 5 years and increases to 8% after 10 years. If the gears on the machine are in no way linked to each other, what are the chances that both will fail? Answer in % form. 
-----------------------------
P(both fail) = 0.05*0.08 = 0.004 = 0.4%</span>
7 0
3 years ago
Read 2 more answers
Solve 7x - c=k for x
kobusy [5.1K]

Answer:

x = \frac{c+k}{7}

Step-by-step explanation:

<em>We'd add c in both sides</em>

7x = c + k

<em>Divide 7 in both sides isolate the variable</em>

7x/7 = x

c+k/7

x = c + k/7

Our answer is x = c+k/7

8 0
2 years ago
Help me pweaseeeeee!!
liubo4ka [24]

Answer:

D

Step-by-step explanation:

If you have a number with an exponent multiplied by the same number with an exponent, you can add the exponents.

2 + 4 = 6

3^6

8 0
3 years ago
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