MATHEMATICS HIGH SCHOOL

What is the 12th term in the sequence?an=−16+2n

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Answers

Answer 1

Answer: What is the 12th term in the sequence?

an=−16+2n
n =term
n=12

Sub n=12
a(12)=-16+2(12)
a(12)=-16+24
a(12)=8

Answer 2

Answer:

a12=-16+(2×12)=

-16+24=8

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Please please help!!Volcanoes prove that the Earth's center is hot. The formula T= 10d +20 is used to estimate the temperature, T degrees Celcius, at a depth of d kilometres (km).
A) what does each term on the right side of the equation represent?
B) Estimate the depth where the temperature is 60 degrees C.
C) What is the approximate temperture at a depth of 4km?

Answers

Answer:

The formula T= 10d +20

A) what does each term on the right side of the equation represent?

10d⇒ 10 degrees increase per 1 km and 20 deg surface temperature

B) Estimate the depth where the temperature is 60 degrees C.

60=10d+20
10d=40
d=4 km

C) What is the approximate temperature at a depth of 4km?

T=10*4+20
T=60 deg

Determine the derivative of the following and leave the answer with positive exponentsAy/ax if y=5x+√x to the exponent 5/2x²

Answers

Hello,

It was a long time i have done this.

y=(5x+√x) ^(2.5 x²)

ln y= 2.5x² ln (5x+√x)

We use:
d (ln y)/dx=1/y* dy/dx

y'/y= 5x*ln(5x+√x)+2.5x²*1/(5x+√x) *(5+1/(2√x))

y'=(5x+√x) ^(2.5 x²)*[5x*ln(5x+√x)+2.5x²*1/(5x+√x) *(5+1/(2√x))]

The inverse of f(x)=(x-2)^2

Answers

The answer I believe is X^2-4X+4

Which is closest to 0.5?
0.4, 0.505, 0.449, 0.48 or 0.53?

Answers

Let us calculate the nearness of all the numbers provided
Number        Nearnes
0.400                100
0.505                   5
0.449                  51
0.530                30

Thus 0.505 is the closest number to 0.5 in decimal terms

$1)|0.5-0.4|=0.1\n 2)|0.5-0.505|=0.005\n 3)|0.5-0.48|=0.02\n 4)|0.5-0.53|=0.03$

As you see the seconds difference is the smallest therefore 0.505 is closest to .0.5

What is the answer for 56% of 80