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4 years ago

1. Describe the pattern in each sequence. Then find the next two terms of

Mathematics

1 answer:

dalvyx [7]4 years ago

5 0

Answer:

a b c

Step-by-step explanation:

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The height, in feet, of an arrow shot from a bow in an upwards direction, is modeled by the function h(t) = -16t2 + 96t + 5, whe

AnnZ [28]

Given function: h(t) = -16t^2 + 96t + 5, where t represents the time in minutes.

We need to find the interval for which the arrow is going up.

The arrow is going up would be the values of time t =0 when it start and when it went to highest point.

<em>Given function is a quadratic function and it represents a parabolic shape.</em>

<em>The highest point on the parabola is a vertex point.</em>

Therefore, we need to find the x-coordinate of the vertex.

We know, formula for x-coordinate of the vertex is

$\frac{-b}{2a}$

For the given quadratic a= -16 and b=96.

Plugging values of a and b in formula, we get

$\frac{-96}{2(-16)}=\frac{-96}{-32} = 3.$

Therefore, after 3 seconds arrow would be at maximum height.

Therefore, the interval for which the arrow is going up is [0,3].

6 0

3 years ago

If 10 friends are going to occupy 10 seats in shuttle on the way to the airport, how many different ways can they arrange themse

Scorpion4ik [409]

3,628,800 ways can they arrange themselves in the shuttle, If 10 friends are going to occupy 10 seats in shuttle on the way to the airport.

Step-by-step explanation:

The given is,

10 friends are going to occupy 10 seats in shuttle on the way to the airport

Step:1

No. of friends - 10

No.of seats in space shuttle - 10

Formula to calculate the no. of ways to arrange,

$P_{n} = n!$ ............................(1)

Where, n - Positive integer

Step:2

From given, n = 10

Equation (1) becomes,

$P_{10} = 10!$

= 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 3628800

= 3628800 ways

Result:

3,628,800 ways can they arrange themselves in the shuttle, If 10 friends are going to occupy 10 seats in shuttle on the way to the airport.

7 0

3 years ago

Find the value of x please!!!

pav-90 [236]

Answer:

your answer is 20 because you subtract 110 by 90 because that is a right angles and all right angles are 90 degrees.

Step-by-step explanation:

4 0

3 years ago

Please help ASAP!!!??

Mazyrski [523]

Answer:

$\{-2,-1,1,2,4\}$

Step-by-step explanation:

Given

The attached graph

Required

Determine the range of the graph

First, we list out the coordinate of each point on the graph:

The points are:

$\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}$

A function has the form: (x,y)

Where

y = range:

From the coordinate points above,

$y = \{-1,-2,2,1,4\}$

Order from least to greatest"

$y = \{-2,-1,1,2,4\}$

Hence, the range are: $\{-2,-1,1,2,4\}$

4 0

3 years ago

Write the following phrase as an algebraic expression. Use k for the unknown.

Advocard [28]

Answer: 20k

Step-by-step explanation: product means to multiply. Use k for the unknown number. 20 times k can be written as 20k.

3 0

3 years ago