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Alex17521 [72]
2 years ago
8

Domain is the set of all input values, while range is the set of all: a. independent variables c. relations b. output values d.

functions Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
Pavlova-9 [17]2 years ago
4 0

Answer:

b

Step-by-step explanation:

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10(4-7) What is the value of =(4-1) ? <br>-10 <br>- 6<br> 6<br> 10​
blagie [28]
Answer 10

This is the formula of an arithmetic sequence.
a
n
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a
1
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d
(
n
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1
)
a
n
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a
1
+
d
(
n
-
1
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Substitute in the values of
a
1
=
1
a
1
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1
and
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3
d
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3
.
a
n
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1
+
(
3
)
(
n
−
1
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a
n
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1
+
(
3
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(
n
-
1
)
Simplify each term.
a
n
=
1
+
3
n
−
3
a
n
=
1
+
3
n
-
3
Subtract
3
3
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1
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a
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2
4 0
3 years ago
Anybody good at math?
Lerok [7]
Yup! We're all pretty good here. :)
8 0
3 years ago
Hey could someone please help me with this really hard assignment is taking me forever. Thank you marking brainliest!
rewona [7]

Answer:

Exercise 1: The length of the unknown leg is 4 inches.

Exercise 3: The following straws can be used to construct the triangle: b) 3\,in, c) 4.5\,in, d) 6.5\,in, e) 10\,in, f) 13.5\,in

Exercise 4: Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)

Step-by-step explanation:

Exercise 1:

Let suppose that triangle represented in the figure is a right triangle, the length of the missing leg is determined by Pythagorean Theorem:

y = \sqrt{l^{2}-x^{2}} (1)

Where:

l - Hypotenuse, in inches.

x - Known leg, in inches.

y - Unknown leg, in inches.

If we know that l = 11\,in and x = 10\,in, then the length of the unknown leg is:

y = \sqrt{21}

Since 4 is the least whole number closest to \sqrt{21}, then we conclude that the length of the unknown leg is 4 inches.

Exercise 3:

The range of possible lengths for the missing side of the triangle is represented by the following simultaneous inequality:

x + y > l > x-y (2)

Where:

x - Greater side, in inches.

y - Lesser side, in inches.

l - Missing side, in inches.

If we know that x = 8\,in and y = 6\,in, then we have the following range of missing sides:

14\,in > l > 2\,in

The following straws can be used to construct the triangle: b) 3\,in, c) 4.5\,in, d) 6.5\,in, e) 10\,in, f) 13.5\,in

Exercise 4:

Let check each pair to determine possible constructions by means of the inequality used in Exercise 3:

(i) x = 4\,in, y = 2\,in

6\,in>l>2\,in

Possible choices: 5 inches.

(ii) x = 5\,in, y = 2\,in

7\,in > l > 3\,in

Possible choices: 4 inches, 6 inches.

(iii) x = 6\,in, y = 2\,in

8\,in > l > 4\,in

Possible choices: 5 inches, 6 inches.

(iv) x = 10\,in, y = 2\,in

12\,in > l > 8\,in

Possible choices: None.

(v) x = 5\,in, y = 4\,in

9\,in > l > 1\,in

Possible choices: 2 inches, 6 inches.

(vi) x = 6\,in, y = 4\,in

10\,in > l > 2\,in

Possible choices: 5 inches.

(vii) x = 10\,in, y = 4\,in

14\,in > l > 6\,in

Possible choices: None.

(viii) x = 6\,in, y = 5\,in

11\,in > l > 1\,in

Possible choices: 2 inches, 4 inches, 10 inches.

(ix) x = 10\,in, y = 5\,in

15\,in > l > 5\,in

Possible choices: 6 inches.

(x) x = 10\,in, y = 6\,in

16\,in > l > 4\,in

Possible choices: 5 inches.

Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)

7 0
2 years ago
Read 2 more answers
A sample of computer tablet batteries has a mean battery life of 28 months and standard deviation of 4 months. What is the lifes
Ulleksa [173]

Using the Empirical Rule, it is found that the lifespans, in months, are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

<h3>What is the Empirical Rule?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

More can be learned about the Empirical Rule at brainly.com/question/24537145

5 0
2 years ago
Lanas avarage step length is about 0.5 meters. How many steps will she need to finish the race? (5 KILMEMETER RACE)
Alex Ar [27]
The length of the race is 5 kilometers.
5 kilometers equals 5000 meters.

Since Lana's avarege step length is about 0.5 meters, we need to divide 5000 by 0.5

Steps = \frac{5000}{0.5} = 10000

Hence, Lana needs to take about 10000 steps.
4 0
3 years ago
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