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3 years ago

Which of the following numbers is irrational? (1 point)

Mathematics

1 answer:

eimsori [14]3 years ago

4 0

Answer:

The correct answer is D. π

Step-by-step explanation:

Let's recall that rational numbers are those that can be written as a ratio or fraction of two integers. Quite the opposite, irrational numbers can't be written as a ratio or fraction of two integers.

Upon saying that we have:

A. A fraction with numerator negative 15 and denominator 4 is a rational number because we can represent it: -15/4

B. A fraction with numerator negative 7 and denominator 9 is a rational number because we can represent it: -7/9

C. √4 is a rational number because we can represent it: 2 or 2/1

D. π is the most known irrational number because we can't represent it as a ratio or fraction: 3.14159265358979....and more can't be written as a ratio or fraction.

The correct answer is D. π

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What can you say about the relationship between M and P? Which letter is the correct answer?

Dimas [21]

Answer:

Choice C is correct

Step-by-step explanation:

The first step is to re-write the equations in exponential form.

The first equation can be written as;

$\frac{M}{N}=10^{4}$ since the base is 10 and 4 the exponent.

The second equation can be written as;

$\frac{P}{N}=10^{5}$

The second step is to make N the subject of the formula in both equations.

Solving for N from this equation $\frac{M}{N}=10^{4}$ , yields;

$N=\frac{M}{10^{4}}$

Solving for N from the second equation $\frac{P}{N}=10^{5}$ , yields;

$N=\frac{P}{10^{5}}$

Therefore;

$\frac{M}{10^{4}}=\frac{P}{10^{5} }\\\\P=10M$

6 0

3 years ago

Lol i’m so sorry for spamming im just dumb. y=?x+?

Lynna [10]

Answer:

y=1x-5

Step-by-step explanation:

6 0

3 years ago

The sum of three consecutive even numbers is 114. what is the smallest of the three numbers?

saul85 [17]

Answer:

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

$(2n)+(2n+2)+(2n+4)=114$

Solve for n. Combine like terms on the left:

$6n+6=114$

Subtract 6 from both sides:

$6n=108$

Finally, divide both sides by 6. Therefore, the value of n is:

$n=108/6=18$

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

4 0

3 years ago

Read 2 more answers

A small box of cereal contains 10 cups of cereal. A medium box of the same cereal contains 30% more cereal than the small box. H

mario62 [17]

Answer:

13 cups

Step-by-step explanation:

If the small box has 10 cups, then:

(small) 10 cups = 100%

(medium) x cups = 130%

Now, cross multiply:

10 (130) = x (100)

1300 = 100x

x = 13

Another way to solve this is by turning 30% into a decimal:

30/100 = 0.3

10 (0.3) = 3

Now you have 30% of the 10 cups, but you need 30% more than the small box, so:

10 + 3 = 13 cups

6 0

3 years ago

Determine whether −2 is a zero (root) of the function:

lianna [129]

Answer:

The answer to your question is No

Step-by-step explanation:

Data

function f(x) = 2x³ + x² - 10x - 12

To know if a number is a root of a function, evaluate the function on that number, if the result is zero, then that number is a root.

Substitution

f(-2) = 2(-2)³ + (-2)² - 10(-2) - 12

Simplification

f(-2) = 2(-8) + 4 + 20 - 12

f(-2) = -16 + 4 + 20 - 12

f(-2) = -28 + 24

f(-2) = -4

-2 is not a root that the function.

5 0

3 years ago

Read 2 more answers