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Igoryamba
3 years ago
7

Tyra's kitchen is 42 m wide and 6.3 m long. She is pasting a decorative border strip that costs $5.95 per meter around the top e

dge of all the walls. How much will she spend?
Mathematics
1 answer:
Setler [38]3 years ago
8 0

Answer:

  • $124.95

Step-by-step explanation:

<u>The length of the strip is equal to perimeter of the kitchen.</u>

  • P = 2(4.2 + 6.3) = 21 m

<u>Cost of the strip is:</u>

  • 21*$5.95 = $124.95
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Lyrx [107]

Answer:

12.5 litres of Blue paint

Step-by-step explanation:

2+7+1=10

therefore;

10=64

2=??

cross-multiply

(2×64)÷10

answer= 12.4 liters or 12.5

6 0
3 years ago
Find a power series representation of e^x sin(x)
liberstina [14]
The Taylor series is defined by:
f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.

Derivatives can be found using product rule:
f^n (x) = e^x g^{n-1} (x) + e^x g^n (x)  \\ g^0 (x) = sin x

Do this successively to n = 6.
f^1 (x) = e^x (sinx +cos x) \\ f^2 (x) = e^x (2cos x)  \\ f^3 (x) = e^x(2cos x - 2sin x)  \\ f^4 (x) = e^x (-4 sin x)  \\ f^5 (x) = e^x(-4sinx -4cos x) \\ f^6(x) = e^x(-8cos x)

Plug in x=0 and sub into taylor series:
e^x  sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...

If more terms are needed simply continue the recursive derivative formula and add to taylor series.
6 0
3 years ago
If f(x) = -4x^2 - 6x - 1 and g(x) = -x^2 - 5x + 3, find (f + g)(x).
Flauer [41]

Answer:

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Step-by-step explanation:

-4x^{2} \\-6x-1-x^{2}-5x+3=-5x^{2}-11x+2

7 0
3 years ago
The Drop Rate Of A Item Is 0.01% to get one, but there are 2 other items with the same drop rate. so there are 3 items with a dr
Bumek [7]

Answer:

If you hope to get the rare Deathcharger's Reins mount from Baron Rivendare for example, we know that it has a 1% drop chance. That means that every time you kill the Black Baron you have a 1% chance of getting the mount. 1% on the first kill, and 1% on the 100th kill. However, over the course of 100 kills, you have a much higher probability of getting the mount. But not 100%. Never 100%.

Step-by-step explanation:

5 0
3 years ago
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Step-by-step explanation:

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x = tan^-1 (200/75)

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