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3 years ago

If a1=4 and an =2an-1 – 1 then find the value of a4.

1 answer:

7 0

1 = 4

a2 = -2(a1) - 1
a2 = -2(4) - 1
a2 = -9

a3 = -2(a2) - 1
a3 = -2(9) - 1
a3 = -19

Can you do a4 and a5 and answer?

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Halp pls ok x =x=x, equals ^\circ ∘

Ber [7]

Answer:

Step-by-step explanation:

The yellow and green angles form a right angle, so the measures of those combined will be 90 degrees.

90 - 30 = 60

7 0

2 years ago

Two sides of a triangle measure 8 cm and 15 cm. Whi[:h could be the length of the third side?

lutik1710 [3]

18 cm is correct .

Step-by-step explanation:

The sum of two smaller sides is greater that the largest side.

It is given that the two sides of a triangle measure 8 cm and 15 cm.

Case 1: Let 8 cm and 15 cm. are smaller side. So,

Third side < 8 + 15

Third side < 23

It means 3rd side must be less than 23

Case 2: Let 15 cm is the largest side.

15 < Third side + 8

15 - 8 < Third side

7 < Third side

It means 3rd side must be greater than 7.

Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.

8 0

3 years ago

A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second. Wh

leonid [27]

Answer:

The maximum height of the particle is 100 ft

A is correct

Step-by-step explanation:

A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second.

The standard equation of parabolic projectile.

$h(t)=-16t^2+v_0t+h_0$

where,

$v_0=16\ ft/s$

$h_0=96\ ft$

$h(t)=-16t^2+16t+96$

So, we get the parabolic equation of path.

The maximum value at vertex.

$t=-\dfrac{b}{2a}$

$t=-\dfrac{16}{-32}=\dfrac{1}{2}$

Maximum at t=0.5

$h(0.5)=-16(0.5)^2+16(0.5)+96$

$h(0.5)=100$

Hence, The maximum height of the particle is 100 ft

4 0

3 years ago

Read 2 more answers

10. A weight hangs on a spring. The vibration period of that weight is the time in which it makes a complete cycle in motion. Su

Alenkinab [10]

The vibration period of the spring will be 0.2 seconds

Explanation

The relationship between the vibration period "T" (in seconds) and the weight "w" (in kilograms) is given by...

$T= 2\sqrt{\frac{w}{200}}$

Given that, the weight(w) = 2.0 kilograms

So, plugging w = 2.0 into the above equation, we will get...

$T= 2\sqrt{\frac{2.0}{200} } \\ \\ T= 2\sqrt{\frac{1}{100} }\\ \\ T= 2*\frac{1}{10}\\ \\ T= \frac{1}{5}=0.2$

So, the vibration period of the spring will be 0.2 seconds.

8 0

3 years ago

513 as a percentage of 900

zavuch27 [327]

513 as a percentage of 900 can be re-written as;
$\frac{513}{900} *100$
= 57 percent

5 0

3 years ago