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Yuki888 [10]
3 years ago
5

In 1980, in Great Falls, Montana, the temperature rose from 32 °F to 15 °F in seven minutes. How much did the temperature increa

se
Mathematics
1 answer:
Gnom [1K]3 years ago
8 0
17 degrees Fahrenheit
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Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
Rom4ik [11]

Answer:

The given sequence is geometric sequence

In the given pattern we have next number is a_5=\frac{1}{4}

Step-by-step explanation:

Given numbers are 64,-16,4,-1

To identify the pattern of the given numbers :

Let a_1=64, a_2=-16 ,a_3=4  and a_4=-1

To find the next number that is a_5

common ratio r=\frac{a_2}{a_1}

=\frac{-16}{64}

r=-\frac{1}{4}

r=\frac{a_3}{a_2}

=\frac{4}{-16}

r=-\frac{1}{4}

Therefore the common ration is r=-\frac{1}{4}

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is a_n=a_1r^{n-1}

Now find the 5th term so put n=5 , a_1=64andr=\frac{-1}{4} we have

a_5=64(\frac{-1}{4})^{5-1}

=64(\frac{-1}{4})^{4}

=64(\frac{1}{4})^{4}

=64(\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4})

=\frac{1}{4}

Therefore a_5=\frac{1}{4}

8 0
3 years ago
The shaded triangle is set inside a pentagon. What type of triangle is the shaded triangle?
SpyIntel [72]
That is a right angled triangle
5 0
3 years ago
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Please help i’ll give brainliest !
ArbitrLikvidat [17]

Answer:

1: (ab)^3

2: 3m^2n^5

3: 15y^3x^7

4: 8s^5r^7

5: 6q^3p^5

Step-by-step explanation:

sorry but fot the explanation, it would take me 10 years to write but you can trust me with these answers

4 0
3 years ago
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Are the numbers 9 and 36 relatively prime?
Sav [38]
Definitely not. They are both perfect squares. A prime number is one where its only factors are one and itself.
8 0
3 years ago
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John’s teacher gave him the following system of equations and asked him to find the point of intersection. 3x + 2 = y 2x – 3= y
Galina-37 [17]

1) to this case you must match both equations

3x+2 = 2x-3 ⇒3x-2x = -3-2⇒x= -5

now the value of x  substitute it in the any of two equations, y = 3(-5)+2 = -13

and the other equation is the same value

y = 2(-5)-3 = -13

the point is ( -5,-13)

7 0
3 years ago
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