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3 years ago

What are the first four terms if the sequence represented by the expression n (n-1) -4?

1 answer:

5 0

We have that
<span>n (n-1) -4

for n=1
a1=1*(1-1)-4------> a1=-4

for n=2
</span>a2=2*(2-1)-4------> a2=-2

for n=3
a3=3*(3-1)-4------> a3=2

for n=4
a4=4*(4-1)-4------> a4=8

the answer is
-4,-2, 2, 8

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What is the slope of the line that passes through the points (-6, -8)(−6,−8) and (-14, 4) ?(−14,4)? Write your answer in simples

creativ13 [48]

Answer:

$\huge\boxed{slope=-\dfrac{3}{2}}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (-6, -8) and (-14, 4).

Substitute

$x_1=-6,\ y_1=-8,\ x_2=-14,\ y_2=4$

$m=\dfrac{4-(-8)}{-14-(-6)}=\dfrac{4+8}{-14+6}=\dfrac{12}{-8}=-\dfrac{12:4}{8:2}=-\dfrac{3}{2}$

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3 years ago

1/3x+y=4 ssolve for y

sdas [7]

Answer:

y=-1/3x+4

Step-by-step explanation:

Subtract 1/3x on both sides to get y by itself, and that leaves y on one side and -1/3+4 on another.

5 0

3 years ago

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One number is six times another number. Their difference is 35. What are the two numbers?

konstantin123 [22]

x - y = 35
x = 6y
Plug 6y in for x in the first equation.
6y - y = 35
5y = 35
Divide both sides by 5
y = 7
x = 6y
x = 6(7) = 42
42 and 7
Letter C
Since we had the answers we could have just tried the answers but you will not always have multiple choice so this is the method for solving.

4 0

4 years ago

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A water tank is in the shape of a right circular Austin simulato water tank is in the shape of a right circular Cylinder with a

Burka [1]

⓵ To calculate the volume of a right circular cylinder, the formula is π times the radius of the circular base² time the height of the cylinder.

⓶ Now that we know that the equation to calculate the volume of a right circular cylinder is :

V = π x (r²) x h

You need to find the numbers to replace the volume (V) and the height (h) in the formula.

We already know that the volume is 320 square feet and that the height is 20 feet.

So we are left with a formula looking like this :

320 = π x (r²) x 20

⓷ Now we need to find the radius of the circular base! To do so, you need to solve this equation and isolate the “r”. Start by simplifying the right side :

320 = π x (r²) x 20
÷20 ÷20

↓

16 = π x r²
÷π ÷π

↓

5,09 ⋍ r²
√ √

↓

2,26 feet ⋍ r

⓸ Now that we knoe the value of the radius of the circular base, all there’s left to do is multiply this number by two in order to find the diameter of the water tank :

2,26 x 2 = d

↓

4,51 feet ⋍ d

So your final answer is : the diameter of the water tank is about 4,51 feet.

** Since I devided by “π”, all the answers I wrote from that point are rounded to the nearest hundredths just to make things easier to visualize, but I kept all of the decimals when doing the calculations. So it is possible that your answer might differ slightly from mine if you use the rounded numbers to calculate everything. Just keep that in mind!

I hope this helped, if there’s anything just let me know! ☻

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4 years ago

The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative

pshichka [43]

Answer: For plato family

A fossil with 47% of its carbon-14 remaining is approximately __2998_ years old.

A fossil that is 7,000 years old will have approximately _17%__ of its carbon-14 remaining

Step-by-step explanation:

Just took the test

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3 years ago

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