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pickupchik [31]
3 years ago
11

of the 200 rooms in a hotell, 55% are single bed rooms, 30% are doble bed rooms, and the rest are deluxe rooms. how meny are del

uxe rooms.
Mathematics
1 answer:
andriy [413]3 years ago
5 0
15% are deluxe rooms
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Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0
Debora [2.8K]

So, the definite integral  \int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74

Given that

\int\limits^1_0 {x^{2} } \, dx = 13

We find

\int\limits^1_0 {(4 - 6x^{2} )} \, dx

<h3>Definite integrals </h3>

Definite integrals are integral values that are obtained by integrating a function between two values.

So, Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx

So, \int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\=  4[x]^{1}_{0}    - \int\limits^1_0 {6x^{2} } \, dx \\=  4[x]^{1}_{0}    - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0]    - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1]    - 6\int\limits^1_0 {x^{2} } \, dx\\= 4    - 6\int\limits^1_0 {x^{2} } \, dx

Since

\int\limits^1_0 {x^{2} } \, dx = 13,

Substituting this into the equation the equation, we have

\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74

So, \int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74

Learn more about definite integrals here:

brainly.com/question/17074932

4 0
2 years ago
Only number 8 and show the work please?
bogdanovich [222]
Uh thats weird no make sense
6 0
3 years ago
Triangle ABC is shown in the diagram below. Show two different ways that you can determine the measure of ABC
iragen [17]

Step-by-step explanation:

vertical angles or line pairs

c=60

180-120=60

180-131=49

60+49=109

180-109=71

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3 years ago
The career clusters can be defined as
kkurt [141]

Answer:

Career Clusters provide students with a context for studying traditional academics and learning the skills specific to a career, and provide U.S. schools with a structure for organizing or restructuring curriculum offerings and focusing class make-up by a common theme such as interest.

Step-by-step explanation:

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Help!!!!!!!!!!!!!!!!!!!!!!!<br><br><br> please ty<br><br> c:
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Use the formula for the area of a triangle, and fill in the given information.
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