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Anton [14]
3 years ago
13

Find the 50th term of the following arithmetic sequence. 6, 13, 20, 27, ...

Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

349

Step-by-step explanation:

We know that a₁ (the first term) is 6 and d (the common difference) is 13 - 6 = 7.

Explicit formula: aₙ = a₁ + (n - 1)d = 13 + (n - 1) * 7 = 7n - 1

Therefore, a₅₀ = 7(50) - 1 = 349

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Simplify:<br><br> 3-2<br> what is this awnser
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3 years ago
A person standing close to the edge on the top of a 400-ft building drops a baseball. The quadratic function h left parenthesis
swat32

Answer:

h(0)=400

The above function value for h(0) shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.

Step-by-step explanation:

Given:

The quadratic function that models the height of the baseball above the ground in feet , t seconds after it was dropped is given as:

h(t)=-16t^2+400

To find h(0) and interpret the meaning of the function value in contect of the problem.

Solution:

In order to find h(0), we will replace t=0 in the given function as h(t) is a function of time t.

Thus, we have:

h(0)=-16(0)^2+400

h(0)=16(0)+400

h(0)=0+400

h(0)=400  (Answer)

The above function value for h(0) shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.

3 0
3 years ago
Using the diagram, calculate the values of the unknown variables: a, b, and c.
Lady_Fox [76]

Answer:

a = 82

b = 130

c = 118

Step-by-step explanation:

A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

a° + 98° = 180°

a° = 180° - 98°

a° = 82°

a = 82

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a° = 1/2(b° + 34°)

82° * 2 = b° + 34°

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b° = 130°

b = 130

Again by inscribed angle theorem:

76° = 1/2(c° + 34°)

76° *2 = c° + 34°

152° - 34° = c°

c° = 118°

c = 118

3 0
3 years ago
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