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2 years ago

(5,1) {-1,5) (-5, 1) (1, -5) (5,3}}

Mathematics

1 answer:

Georgia [21]2 years ago

3 0

Answer: not a function

Step-by-step explanation:

the input x=5 has two outputs, y=3 and y=1

(x,y)

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(ar^b) ^4 = 16r^20 where a and b are positive integers work our a and b

ivolga24 [154]

Answer:

a = 2

b = 5

Step-by-step explanation:

Given :

(ar^b)^4 = 16r^20 ; a and b are positive integers :

Opening the bracket :

a^4r^4b = 16r^20

a^4 = 16 - - - - - (1)

r^4b = r^20 - - - (2)

a^4 = 16

Take the 4th root of both sides :

(a^4)^(1/4) = 16^1/4

a = 2

From (2)

r^4b = r^20

4b = 20

Divide both sides by 4

4b/4 = 20/4

b = 5

Hence ;

a = 2

b = 5

6 0

2 years ago

4x - 2y = 5 y= 2x + 10

Helga [31]

Answer:

There is no solution

Step-by-step explanation:

4x - 2y = 5 --> 4x - 2(2x + 10) = 5

4x - 4x - 20 = 5

4x - 4x -25 = 0

Final answer is -25 = 0 and so therefor it is no solution

7 0

2 years ago

a rectangular pyramid has a volume of 190 cubic centimeters. Find two possible sets of measurements for the base area and height

DerKrebs [107]

<h3>One possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively</h3><h3>Other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively</h3>

Solution:

The volume of rectangular pyramid is given as:

$Volume = \frac{1}{3} \times base\ area \times height$

Given that,

Rectangular pyramid has a volume of 190 cubic centimeters

$190= \frac{1}{3} \times base\ area \times height$

Substitute, base area = 570 and height = 1

Then we get,

$190 = \frac{1}{3} \times 570 \times 1\\\\190 = 190$

Thus one possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively

Substitute, base area = 285 and height = 2

$190 = \frac{1}{3} \times 285 \times 2\\\\190 = \frac{1}{3} \times 570\\\\190 = 190$

Thus other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively

6 0

3 years ago

Standardization of Normal Distribution is the process of

n200080 [17]

Answer:

Step-by-step explanation:

Standardizing a normal distribution is to convert a normal distribution to the standard normal distribution. In real-world applications, a continuous random variable may have a normal distribution with a value of the mean that is different from 0 and a value of the standard deviation that is different from 1.

7 0

2 years ago

The digits 4 comma 5 comma 6 comma 7 comma and 8 are randomly arranged to form a three-digit number. (Digits are not repeate

fenix001 [56]

Answer:

0.1 or 1/10

Step-by-step explanation:

The digits 4, 5, 6, 7 and 8 are randomly arranged to form a three digit number, where the digits are not repeated.

This is question of permutation.

Imagine this sum as; there are 3 boxes(blank spaces for digits) and 5 different fruits(digits) are to be put in these boxes, where a box can hold a maximum of only 1 fruit. The number of such permutations are: ⁵P₃

By formula (a! is factorial a):

ᵃPₙ $= \frac{a!}{(a-n)!}$

⁵P₃ $= \frac{5!}{(5-3)!}$

⁵P₃ $= \frac{5!}{2!}$

⁵P₃ $= \frac{5*4*3*2*1}{2*1}$

⁵P₃= 60

This is the total count of possible numbers that can be formed.

Now, for a number to be greater than 800 and even; first digit should necessarily be 8. Last digit can be 4 or 6. Using these conditions, there are 6 possibilities. 854, 864, 874, 846, 856, 876 are the numbers.

The probability that number is even and greater than 800 is:

$P=\frac{ favorable outcomes}{equally likely possible outcomes}$

$P=\frac{6}{60}$

$P=\frac{1}{10}$

3 0

2 years ago

(5,1) {-1,5) (-5, 1) (1, -5) (5,3}}​

(5,1) {-1,5) (-5, 1) (1, -5) (5,3}}