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1 year ago

Identify the domain of the function shown in the graph.

Mathematics

1 answer:

Akimi4 [234]1 year ago

7 0

Answer:

<h2> $- 5 \leqslant x \leqslant 5$ </h2>

Option D is the correct option.

Step-by-step explanation:

Domain means value of X. Just look on the horizontal axis. Here, X goes from -5 to 5.

Domain = $- 5 \leqslant x \leqslant 5$

Hope this helps...

Good luck on your assignment..

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The histogram shows the number of vacation days taken by employees in the past year. Based on the histogram, which statement is

Serhud [2]

The correct answer is b

8 0

1 year ago

What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm

makkiz [27]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

3 0

2 years ago

Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tub

kakasveta [241]

Answer:

4. 54- 8.5x>20

Step-by-step explanation:

Catherine only has $54, so she cannot spend more than that.

The canvas will cost at least $20, but we don't know how much exactly.

The tubes cost $8.50 each.

So, she starts with a total budget of $54, out of which she will buy paints (8.5x) and she wants to have at least $20 left for canvas.

So, we transpose those facts into the inequity:

54 - 8.5x > 20

8 0

1 year ago

Read 2 more answers

points P and Q lie 240 m apart in line with and on opposite sides of a communications tower. the angles of elevation to the top

Leona [35]

Answer:

The height of the tower is 130.5m

Step-by-step explanation:

In the question, we are given the following values:

The angles of elevation to the top of the tower from P = 50°

The angles of elevation to the top of the tower from Q = 45°

The angles of elevation to the top of the tower from P = 50°

Hence,cot P = 1/ tan(50°)

The angles of elevation to the top of the tower from Q = 45°

Hence, tan 45° = 1

In the question,we are told Points P and Q lie 240 m apart in line with and on opposite sides of a communications tower.

Therefore,

PQ = height of the tower( tan Q + 1/tan P)

240m = height of the tower( tan 45° + 1/ tan 50°)

240m = h(1 + 1/tan 50°)

h = (240 m)/(1 + 1/tan (50°))

h = 130.49863962 meters

Therefore, the height of the tower to the nearest tenth of a meter is 130.5 meters(m)

5 0

2 years ago

A jury pool consists of 27 people. How many different ways can 11 people be chosen to serve on a jury and one additional person

hichkok12 [17]

Answer:

208,606,320

Step-by-step explanation:

A jury pool consists of 27 people. 11 people be chosen to serve on a jury and one additional person be chosen to serve as the jury foreman

Total of 27 people. 11 people can be selected from 27 people in 27C11 ways

$27C11= \frac{27!}{11!(27-11)!} =13037895$

one additional person be chosen to serve as the jury foreman

after selecting 11 people , remaining is 27 - 11= 16 people

Now 1 is selected from 16 in 16 ways

Number of different ways = $13037895 \cdot 16=208606320$

4 0

2 years ago