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lutik1710 [3]
2 years ago
12

What is the domain of the given function? {(3,-2), (6, 1), (-1,4), (5,9), (-4,0)}

Mathematics
1 answer:
grandymaker [24]2 years ago
4 0

Answer:

D = { -4,-1,3,5,6}

Step-by-step explanation:

The domain is the x values  or the inputs

D = { 3,6,-1,5,-4}

We normally put them in order from smallest to largest

D = { -4,-1,3,5,6}

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Answer:

 the answer is 2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The triangular prism shown has triangular _____face(s) and lateral face(s).
dmitriy555 [2]

Answer:

The triangular prism shown has 2 triangular face(s) and 3 lateral face(s).

The area of one triangular face is 7.5 mm²

The surface area of the triangular prism is 135 mm²

Step-by-step explanation:

A triangular face of the prism is the face that has a three sided figure while the lateral faces are faces with four-sided figure. As seen from the triangular prism, it has 2 triangular faces since it is made up of 2 right angled triangles and has 3 lateral faces since it is made up of 3 rectangles which are 4 sided each.

Area of one triangular face = \frac{1}{2} * base * height

Given base = 2.5 mm and height = 6 mm

Area of one triangular face = \frac{1}{2} *2.5 * 6\\

= 3*2.5\\= 7.5mm^{2}

Surface area of triangular prism = bh + pH

b= base of the triangle  = 2.5 mm

h- height of the triangle  = 6 mm

p= perimeter of the triangle  = base + height + slant height = 2.5+6+6.5

p = 15 mm

H= height of the prism = 8mm

Surface area of triangular prism = 2.5(6)+15(8)

Surface area of triangular prism = 15 + 120

Surface area of triangular prism = 135mm²

5 0
2 years ago
A glass ball is packed in the box shown. Which expression represents the volume of foam padding needed to fill the space in the
zhuklara [117]

Answer: (27- 4/3 pi) r^3

Step-by-step explanation: 1. Volume of a cube: V= a^3,  V= 3^3 , V=27

2.  Volume of a sphere: V=4/3 pi r^3 ......

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2 years ago
Explain why the following expression is false. |x| < -4
levacccp [35]

Step-by-step explanation:

Whenever we put a negative number inside a modulus function it will give us the positive output. For example , |-3| = 3 , |-6|=6, |5|= 5 ,etc.

So a modulus function i.e. |x| is always greater than zero ( positive ) when x is any number except 0 and it is equal to zero when the value of x is 0.

So |x| can't be less than -4 as |x| is always positive . So the statement is false.

8 0
2 years ago
The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in mi
Leokris [45]

Answer:

75.

Step-by-step explanation:

If the mean is 75 miles per gallon and the standard deviation is of 10 miles per gallon, it means that most values will fall between 65 and 85 miles.

The percentile 50 falls in the middle of this range, therefore, the value that represents the  50th percentile will be:

(65 +85) / 2 = 150 / 2 = 75.

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2 years ago
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