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Marina86 [1]
3 years ago
6

An even number is divisible by 2.if - then :hypothesis:conclusion:​

Mathematics
1 answer:
Reika [66]3 years ago
6 0

Answer:

A logical sentence is written as:

If P, then Q.

Where:

P = hypothesis

Q = conclusion.

For this particular case, we know that a number is even only if the number is divisible by 2.

Then we can write:

if a number is divisible by 2, then it is an even number.

Here we have:

hypothesis = a number is divisible by 2.

conclusion = the number even.

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Which expression is equivalent to r^m ÷ r^n?
Andre45 [30]
R^m ÷ r^n is equal to r^(m-n). 

For example, 2^5 <span>÷ 2^3 = 2^2.
</span>
Is that what you mean?
7 0
3 years ago
If f(x) = x2 + 7x and g(x) = 3x - 1, what is f(g(x))?
Burka [1]

Answer:

f(g(x)) = 9x^2 + 15x - 6

Step-by-step explanation:

We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.

Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side.  We obtain:

f(g(x)) = (3x - 1)^2 + 7(3x - 1).

If we multiply this out, we get:

f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or

f(g(x)) = 9x^2 + 15x - 6

6 0
3 years ago
Find the volume of the following. Please round your answer to the nearest tenth. Please do not put units. Hint: You need to use
Sophie [7]

Answer:

<em>V = 1,568</em>

Step-by-step explanation:

<u>The Volume of a Square Pyramid</u>

Given a square-based pyramid of base side a and height h, the volume can be calculated with the formula:

\displaystyle V=\frac{1}{3}a^2h

We are given a square pyramid with a base side a=14 ft but we're missing the height. It can be calculated by using the right triangle shown in the image attached below, whose hypotenuse is 25 ft and one leg is 7 ft

We use Pythagora's theorem:

25^2=h^2+7^2

Solving for h:

h^2=25^2-7^2=625-49=576

h=\sqrt{576}=24

The height is h=24 ft. Now the volume is calculated:

\displaystyle V=\frac{1}{3}*14^2*24

V = 1,568

3 0
3 years ago
What is the 10th term in the increasing pattern shown?<br><br> 1, 1, 2, 3, 5, 8, 13
Vika [28.1K]

Answer:

55

Step-by-step explanation:

(after the first "1") You need to add the previous two numbers together to get the next number in the pattern.

7 0
3 years ago
PLEASE HELP I WILL GIVE BRAINLIEST!!
vampirchik [111]

Answer:

what is the question

Step-by-step explanation:

5 0
3 years ago
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