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Sholpan [36]
3 years ago
14

For what interval is the function f(x) = (20 + \sqrt{x}) / (\sqrt{20 + x}) continuous?

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0
Try this solution:
1. according to the condition
\left \{ {{x \geq 0} \atop {20+x\ \textgreater \ 0}} \right. \ =\ \textgreater \  \ x \geq 0.
2. for more details see the attached graph.

Answer: [0;+oo)

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Solve for the height (h) of this triangular prism if the volume is 1080. The
dexar [7]

Answer: 18

Step-by-step explanation:

Area of triangle = (0.5) × base(b) × height(h)

Base of triangle = 8

Height of triangle = 15

Area of triangle = (0.5) × 8 × 15 = 60

Volume of triangular prism = B × height

Where h = height

B = area of triangle

Volume of triangular prism = 1080

Find the height(h) of the triangular prism

Volume of triangular prism = B × height

1080 = 60 × h

h = 1080 / 60

h = 18

4 0
3 years ago
There are 36 carpenters in a crew. On a certain day, 29 were present. What percent were at work? (Round your answer to the neare
Allushta [10]

Answer:

80.56%

Step-by-step explanation:

divide 36 by 29 and you get 0.8055555555. Change that into a percent to get 80.56%

8 0
3 years ago
What is the gcf of 3/7 and 4/9?
LiRa [457]

Answer:

  1/63

Step-by-step explanation:

There are a couple of ways to do this.

<h3>1) </h3>

Look for the GCF of the numerators when a common denominator is used.

  GCF(3/7, 4/9) = GCF(27/63, 28/63) = (1/63)·GCF(27, 28)

  GCF(3/7, 4/9) = 1/63

__

<h3>2) </h3>

Use Euclid's algorithm. If the remainder from division of the larger by the smaller is zero, then the smaller is the GCF; otherwise, the remainder replaces the larger, and the algorithm repeats.

  (4/9)/(3/7) = 1 remainder 1/63*

  (3/7)/(1/63) = 27 remainder 0

The GCF is 1/63.

__

* The quotient is 28/27 = 1 +1/27 = 1 +(1/27)(3/7)/(3/7) = 1 +(1/63)/(3/7) or 1 with a remainder of 1/63.

_____

<em>Additional comment</em>

3/7 = (1/63) × 27

4/9 = (1/63) × 28

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2 years ago
75 minutes are greater than less than or equal to 7 hours
Ksju [112]
Its less than
and happy valentines day
7 0
3 years ago
Mark's soup recipe makes 6 servings and uses 4 carrots and 2 potaoes. How many potaoes and carrots does mark need for 15 serving
lys-0071 [83]

He would need 10 carrots and 5 potatoes for 15 servings.

Hope this helps.

7 0
4 years ago
Read 2 more answers
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