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2 years ago

9

What is -3/2x |x-22| +33

1 answer:

bogdanovich [222]2 years ago

6 0

Answer:

Find the domain by finding where the expression is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,0)∪(0,∞),{x|x≠0}(-∞,0)∪(0,∞),{x|x≠0}

Range: ,{x|}

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Evaluate: -8 over 9 + 4 over 9 - 2 over 9

stepan [7]

The answer is -2/3 from the solution above

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2 years ago

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What is 5,820,000,000 written in scientific notation?

Ksenya-84 [330]

Answer:

C

Step-by-step explanation:

the decimal would have to move 9 times from the zero position to get to between 5 and 8.

so 5.82 x 10^9

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2 years ago

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What is the surface area of the figure 8" 8" 12"

fgiga [73]

First, find the surface area of the bigger sides (there are 4 of them so what you get for one you will multiply by 4)

12 x 8 = 96

96 x 4 = 384

Then find the surface area of the smaller sides ( there are two small sides so multiply your answer by two)

8 x 8 = 64

64 x 2 =128

Then add both together

128 +384 = 512

Hope this helps :)

3 0

2 years ago

A triangular plaque has side lengths of 8 inches, 13 inches, and 15 inches.

lianna [129]

<h3>Answer: A) 52 square inches</h3>

==========================================================

Explanation:

a = 8, b = 13, and c = 15 are the sides of the triangle

s = (a+b+c)/2 = (8+13+15)/2 = 18 is the semi-perimeter, aka half the perimeter.

Those values are then plugged into Heron's Formula below

$A = \sqrt{s*(s-a)*(s-b)*(s-c)}\\\\A = \sqrt{18*(18-8)*(18-13)*(18-15)}\\\\A = \sqrt{18*(10)*(5)*(3)}\\\\A = \sqrt{2700}\\\\A = \sqrt{900*3}\\\\A = \sqrt{900}*\sqrt{3}\\\\A = 30\sqrt{3}\\\\A \approx 51.9615\\\\A \approx 52\\\\$

The triangular plaque has an area of approximately 52 square inches.

6 0

2 years ago

A multi-layer cake is in the shape of a right cylinder. The height of the cake is 20 centimeters, and its radius is 10 cm. If ea

gizmo_the_mogwai [7]

Answer:

There are total 5 layers.

Step-by-step explanation:

A multi-layer cake is in the shape of a right cylinder.

Height of the cake is = 20 cm

Radius is = 10 cm

Each of the cake layers has a volume of approximately 1,250 cm³.

Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.

Volume of the cylinder is given as:

$V=\pi r^{2} h$

$1250=3.14\times(10)^{2}\times h$

$1250=314 h$

$h=\frac{1250}{314}$

h = 3.98 or approximately height of 1 layer is 4 cm.

As the cake's height is 20 cm so, there are $\frac{20}{4}=5$ layers in the cake.

Answer: There are 5 layers in the cake.

5 0

2 years ago