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posledela
3 years ago
15

What is the 87th term of the arithmetic sequence of 12,0,-12

Mathematics
1 answer:
den301095 [7]3 years ago
7 0

Step-by-step explanation:

12,0,-12

a1 = 12 \\ a2 = 0 \\ d = a2 - a1 \\ d = 0 - 12 =  - 12 \\ an = a1 + (n - 1) \times d \\  \\ a87 = 12 + (87 - 1) \times ( - 12)  \\ a87 = 12  - 1032

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A soccer ball is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 48t, where t equals the
mamaluj [8]

It takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

<h3>What is the axis of symmetry?</h3>

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.

1. The function  is a parabola of the form . The the formula for the axis of symmetry of a parabola is . We can infer from our function that a= -16 and b = 48, so lets replace those values in our formula:

x = \frac{-b}{2a}

x = \frac{(-48)}{-2(16)}

x = \frac{-48}{-32}

x = 1.5

We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:

-16t^{2} +48t = 0

-16t(t-3)=0

t = 0, (t-3) = 0

t = 0, t = 3

From our previous point we know that the ball reaches its maximum time at , which means that it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

To learn more about axis of symmetry from the given link:

brainly.com/question/9444537

#SPJ4

6 0
1 year ago
HOW MANY 7 DIGIT TELEPHONE NUMBERS ARE POSSIBLE IF THE FIRST DIGIT CANNOT
lyudmila [28]

Answer:

there are 8 million different phone numbers whose phone numbers whose digits aren't 0 or 1

6 0
2 years ago
Witch is bigger 3/6 or 3/8 ?
siniylev [52]
3/6. If you have the same Numerator (in this case 3), the choice with the smaller denominator (6 or 8) is the larger of the numbers
3 0
3 years ago
Read 2 more answers
What is the area of this figure?​
mrs_skeptik [129]

Answer:

114.8  cm^2

Step-by-step explanation:

<h2><u>Finding the area of the shape </u></h2>

we can break down this figure into individual shapes :

- rectangle

- triangle

- parallelogram

<h3><u>area of a triangle</u></h3>

formula:

\frac{1}{2} * base * height\\

\frac{1}{2} * 11.2 * 4.5\\

<u>area of a triangle =25.2  cm^2</u>

<u />

<h3><u>area of a rectangle</u></h3>

formula:

base * height\\

4.5 * 8

<u>area of a rectangle = 36  cm^2</u>

<u />

<h3><u>area of parallelogram</u></h3>

formula:

1/2 * ( sum of parallel sides ) * height

1/2 * ( 8 + 8 ) * 6.7

<u>area of a parallelogram = 53.6  cm^2</u>

<u />

<h3><u>Total area</u></h3>

= area of rectangle + area of triangle + area of parallelogram

= 25.2 + 36 + 53.6

<h2><u>= 114.8  cm^2</u></h2>
3 0
3 years ago
Read 2 more answers
Tracey ran 1.200 meters in 5 minutes. How many meters/minute did she run?​
SOVA2 [1]

Answer:

she ran 240 in a minute

Step-by-step explanation:

you have to multiply 1200 by 5 which you get 240

4 0
3 years ago
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