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Scorpion4ik [409]
2 years ago
13

A student claims that the sum of a rational number and an irrational number is always irrational. Is the claim correct? No. The

claim is incorrect because 2 + √ 4 = 2 + 2 = 4 , and 4 is a rational number. No. The claim is incorrect because 2 plus square root of 4 is equal to 2 plus 2 is equal to 4, and 4 is a rational number. No. The claim is incorrect because 2 + 1 √ 4 = 2 + 1 2 = 5 2 , and 5 2 is a rational number. No. The claim is incorrect because 2 plus the fraction with numerator 1 and denominator square root of 4 is equal to 2 plus 1 half is equal to 5 halves, and 5 halves is a rational number. Yes. The claim is correct because 3 π + 4 π = 7 π , and 7 π is an irrational number. Yes. The claim is correct because 3 pi plus 4 pi is equal to 7 pi, and 7 pi is an irrational number. Yes. The claim is correct because √ 16 + π = 4 + π , and 4 + π is an irrational number. Yes. The claim is correct because square root of 16 plus pi is equal to 4 plus pi, and 4 plus pi is an irrational number.
Mathematics
1 answer:
GenaCL600 [577]2 years ago
8 0

The correct option regarding whether the sum of a rational number and an irrational number is always irrational is given by:

Yes. The claim is correct because √ 16 + π = 4 + π , and 4 + π is an irrational number.

<h3>What are rational and irrational numbers?</h3>

  • Rational numbers are numbers that can be represented by fractions, such as terminating decimals.
  • Irrational numbers are numbers that cannot be represented by fractions, such as non-terminating decimals and non-exact roots.

The sum of a terminating decimal with a non-terminating decimal always results in a non terminating decimal, that is, the sum of a rational number with an irrational number is always irrational, and the correct option is given by:

Yes. The claim is correct because √ 16 + π = 4 + π , and 4 + π is an irrational number.

More can be learned about rational and irrational numbers at brainly.com/question/17232771

#SPJ1

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The temperature dropped 6°C every hour for 8 hours. What was the total number of degrees the
ahrayia [7]

Answer:

it dropped 48 degrees Celsius (c) in 8 hours

Step-by-step explanation:

6x8=48

5 0
3 years ago
The height h in feet of a ball after t seconds is given h=176t-16t^2. how long did it take for the ball to hit the ground?
Molodets [167]
Here's our equation.

h=176-16t^2

Let's reorder this so t² comes before t.

h=-16t^2+176t

We want to find out when the ball hits the ground. Essentially, <em>what is t when h=0?</em>
Let's plug in 0 for h and solve.

0=-16t^2+176t

From here we can use a number of methods to solve.
Methods such as splitting the middle, quadratic formula, etc. are not necessary for this equation, however. The best method here is just plain factoring.

-16t² and 176t are both divisible by 16t.

0=16t(-t+11)

Now we want t to equal zero. If either of those factors were zero, then the whole thing would be zero when we multiply by it. The first option is obvious. If t were 0, 16t would be 0. That's when the ball is first kicked off the ground. The other, 11-t, works out to be t = 11.
6 0
3 years ago
How many integers from 4 to 50 inclusive are neither multiples of 3 nor 4????
puteri [66]

Answer:

24 integers

Step-by-step explanation:

There are (50 - 4)+1 = 47 integers from 4 to 50 INCLUSIVE.

We find the multiples of 3 and find the multiples of 4 and subtract that from the 47 integers to get INTEGERS that are NEITHER multiple of 3 nor 4.

Let's list multiples of 3 (from 4 to 50 inclusive):

6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48

Multiples of 4 (from 4 to 40 inclusive):

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

From the 2 lists, let's take out the <em>common ones:</em>

<em>THe common ones are 12, 24, 36, 48</em>

<em />

We count all from multiples of 3 list, but don't count the common from multiples of 4's list.

So there are 15 multiples of 3, and 8 multiples of 4

In total 15 + 8 = 23 multiples of 3 and 4

So there are 47 - 23 = 24 integers that are NOT multiples of 3 nor 4

6 0
3 years ago
Which of the following best represents the average rate at which infants gain weight for the first six months after birth? (1 po
Amiraneli [1.4K]
1.5 pounds per month I think
4 0
3 years ago
What is the radius of a sphere with a volume of
Nataly [62]

Answer:

Radius, r = 10.64 m

Step-by-step explanation:

The formula of a spherical shaped object is given by :

V=\dfrac{4}{3}\pi r^3

r is radius of a sphere

r=(\dfrac{3V}{4\pi })^{1/3}  \\\\r=(\dfrac{3\times 5044}{4\times 3.14 })^{1/3}  \\\\r=10.64\ m

So, the radius of a sphere is 10.64 m.

8 0
4 years ago
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