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Nookie1986 [14]
3 years ago
9

Find the coefficient of x in the expansion of (x+7). Using the triangle.

Mathematics
1 answer:
andrew11 [14]3 years ago
5 0

Answer:

wouldnt it b 1

Step-by-step explanation:

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Compute the number of vinyl tiles, measuring 28 inches on each side, needed to tile a kitchen measuring 102 ft. by 18 ft.
ratelena [41]

Answer:

338 tiles

Step-by-step explanation:

First, convert the measurements of the kitchen from feet to inches by multiplying each measurement by 12.

102 * 12 = 1224     18 * 12 = 216


Now multiply these answers together.

1224 * 216 = 264,384 square inches


Now find the area of the vinyl tiles.

28 * 28 = 784 square inches


Now find how many 784 square inch tiles are needed to cover a 264,384 square inch kitchen.

264,384 / 784 = 337.224


Since you can't buy part of a tile, round your answer up.

338 tiles



6 0
3 years ago
Read 2 more answers
Change 108% to a mixed number and reduce, if possible.
monitta
27/25 is in the lowest form

5 0
3 years ago
Read 2 more answers
A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa
Gnesinka [82]

Answer:

The value of x would be \frac{5}{3}

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3

Differentiating with respect to x,

V'=100 - 80x + 12x^2

Again differentiating with respect to x,

V''=-80 + 24x

For maxima or minima,

V'=0

\implies 100 - 80x + 12x^2 = 0

\implies 3x^2 - 20x + 25=0

By quadratic formula,

x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}

x=\frac{20\pm \sqrt{400 - 300}}{6}

x=\frac{20\pm \sqrt{100}}{6}

x=\frac{20\pm 10}{6}

\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0
4 years ago
1 A. All master photographers are artists.
Ede4ka [16]

Answer:

A is the appropriate option.

Step-by-step explanation:

The question given is a conditional statement.

With the condition that all master photographers are artist. This implies that any person who is a master photographer is automatically an artist.

A. Comparing the statement here, since Ansel Adam's is a master photographer, he is an artist.

B. Ansel Adams is an artist, but it is possible that not all artists are master photographer.

A is the correct option.

1. All master photographers are artists.

2. Ansel Adams is a master photographer.

Therefore, Ansel Adams is an artist.

7 0
3 years ago
Work out the area of this circle.<br> Give your answer in terms of it and state its units.<br> 6 mm
andrey2020 [161]

Answer:

113.142 mm

Step-by-step explanation:

Easy.

Formula:

pi x radius x radius

Solution: 3.141592654 or 22/7 for pi

22/7 x 6 x 6 = 113.142 mm

6 0
3 years ago
Read 2 more answers
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