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geniusboy [140]
3 years ago
10

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!

5 0
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.

8 0
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
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