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3 years ago

Find the nth term of the sequence:23, 19, 13, 5, -5.......

Mathematics

1 answer:

Maurinko [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Given the sequence :

23, 19, 13, 5, -5.......

From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.

19 - 23 = -4

13 - 19 = -6

5 - 13 = -8

-5 - 5= -10

Hence an constant difference of - 2 after each successive difference.

Hence, this is a quadratic sequence

With the formula

an² + bn + c

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HELP ME PLEASE!!! Steps would be helpful :)

SIZIF [17.4K]

Answer:

i believe the answer is 9.5

Step-by-step explanation:

cos60 = c / 19 = 9.5

4 0

3 years ago

A caterer charger $120 to carter a party for 15 people and $200 for 25 people

Luba_88 [7]

Answer:

y = 8x

Step-by-step explanation:

When the number of people increased by 10, the caterer charged an additional $80. Therefore, we estimate that the cost per person is $8. In order to verify:

$8/person * 15 people = $120. True. $8/person * 25 people = $200. True.

Therefore, if we let x represent the number of people being cater for and y represent the cost, the equation to model the situation is simply y = 8x.

hope it helps!

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2 years ago

We want to find the maximum and minimum values of f(x, y) = 10x2 + 11y on the disk D: x2 + y2 < 1.

dolphi86 [110]

If you're just focusing on the boundary, it's the circle $x^2+y^2=1$ . Parameterize it by taking $x=\cos t$ and $y=\sin t$ , with $0\le t\le2\pi$ . Then $f(x,y)$ reduces to a univariate function $g(t)$ :

$f(x,y)=10x^2+11y\iff g(t)=f(\cos t,\sin t)=10\cos^2t+11\sin t$

Then you can find any extrema on the boundary by checking the critical points of $g$ .

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4 years ago

Please help if you can.....................

Oksana_A [137]

The sum of everything is 720 degrees, because of the six sides in this figure.

We sum all angles and get 595

720 - 595 = 125

The answer is 125 degrees

3 0

3 years ago

Use 3.14 for the value of , and round your answers to two decimal places, where applicable. If the diameter of a circle is 15 m,

sergejj [24]

if the diameter of a circle is 15, its radius is half that or 7.5.

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7.5 \end{cases} A=\pi (7.5)^2\implies A=56.25\pi \implies \stackrel{\pi =3.14}{A=176.625}$

7 0

3 years ago

Find the nth term of the sequence:23, 19, 13, 5, -5.......​

Find the nth term of the sequence:23, 19, 13, 5, -5.......