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3 years ago

What is the 42nd term of the sequence 12.25, 14.50, 16.75,...?

1 answer:

4 0

T3 - T2 = T2 - T1
16.75 - 14.50 = 14.50 - 12.25
2.25 = 2.25

so this is arithmetic progression

T42 = 12.25 + 41(2.25)
= 12.25 + 92.25
= 104.5

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Does dose anyone know how to solve this?

solniwko [45]

Answer:

Width of rectangle = 6 m

Length of rectangle = 11 m

Step-by-step explanation:

Let width of rectangle = w

Length of rectangle = 3w-7

Area of rectangle = 66 m²

We need to find length and width of rectangle

The formula used is: $Area=Length \times Width$

Putting values and finding w

$Area=Length \times Width\\66=(3w-7)(w)\\66=3w^2-7w\\3w^2-7w-66=0\\$

Solve using quadratic formula: $w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have a=3, b=-7, c=-66

Putting values and finding w

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-(-7)\pm\sqrt{(7)^2-4(3)(-66)}}{2(3)}\\w=\frac{7\pm\sqrt{49+792}}{6}\\w=\frac{7\pm\sqrt{841}}{6}\\w=\frac{7\pm29}{6}\\w=\frac{7+29}{6}\:,\:w=\frac{7-29}{6}\\w=6, w=-3.6$

We get values of w as w=6 and w=-3.6

As we know width cannot be negative, so considering w = 6

So, Width = 6

Length = 3w-7 = 3(6)-7 = 18-7 = 11

So, Width of rectangle = 6 m

Length of rectangle = 11 m

6 0

2 years ago

Using the quadratic formula to solve 4x^2-3x + 9=2x + 1 what are the values of x

Alchen [17]

Answer:

x=5±√−103/8

Step-by-step explanation:

There's no real solutions

4x2−3x+9−(2x+1)=2x+1−(2x+1)

4x2−5x+8=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(4)(8)/2(4)

x=5±√−103/8

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3 years ago

Ricardo has 2020 coins, some of which are pennies (1-сent coins) and the rest of which are

r-ruslan [8.4K]

Answer:

Step-by-step explanation:

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2 years ago

What is the distance between Point A and Point B?

Lelechka [254]

Answer:

"2 units" is the answer.

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3 years ago

Read 2 more answers

Marie ordered a root beer float at the ice cream shop. the float was $2, and she paid a 6% sales tax. how much did Marie pay for

podryga [215]

$2 (0.06)= 0.12
1
2.00+0.12= 2.12

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3 years ago