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3 years ago

Write a formula for the nth term of the arithmetic sequence

Mathematics

1 answer:

den301095 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

$a_{1}=1\\d=-3-1=-4\\a_{n}=a_{1}+(n-1)d\\a_{n}=1+(n-1)(-4)\\a_{n}=1-4n+4\\a_{n}=5-4n$

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Evaluate the numerical expression.<br>9x [(26-4)-(4+7)]<br>The value of the expression is

mash [69]

Answer:

Step-by-step explanation:

26-4=22. 4+7=11. 22-11=11. 9 times 11=99

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3 years ago

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Kyle's father is 6 1/4ft. tall. Kyle is 5 feet tall. How many times taller is Kyle's father than him?

Irina-Kira [14]

Answer:

just won time or a half

Step-by-step explanation:

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3 years ago

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Snezhnost [94]

The x values are the same for both green dots, so you are looking at a simplified version of the distance formula.

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Since x1 = x2 = 5, the first set of brackets = (5 - 5) = 0

d = sqrt( y2 - y1)^2 )

d = y2 - y1

y2 = 5

y1 = - 1

d = 5 - - 1

d = 6 Answer

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3 years ago

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when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s

Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

$t \propto y^{1/2}$

$t = k\cdot t^{1/2}$

Where:

$t$ - Time spent by the stone, measured in seconds.

$y$ - Height change experimented by the stone, measured in meters.

$k$ - Proportionality constant, measured in $\frac{s}{m^{1/2}}$ .

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

$k = \frac{t}{y^{1/2}}$

If $t = 4\,s$ and $y=78.4\,m$ , then:

$k = \frac{4\,s}{(78.4\,m)^{1/2}}$

$k \approx 0.452\,\frac{s}{m^{1/2}}$

Then, the expression is $t = 0.452\cdot y^{1/2}$ . Finally, if $y = 500\,m$ , then the time is:

$t = 0.452\cdot (500\,m)^{1/2}$

$t \approx 10.107\,s$

The stone would take approximately 10.107 seconds to fall 500 meters.

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3 years ago

What is the area of the circle of radius 9

erma4kov [3.2K]

The equation for the area of a circle is: $\pi r^2$ . Insert 9 as your radius (r) into the equation and solve:
\pi 9^2 = 254.469

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2 years ago

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