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3 years ago

Please Hurry!!! Which value is a perfect square? 15 25 40 60

Mathematics

2 answers:

Amiraneli [1.4K]3 years ago

5 0

Answer: 25

Step-by-step explanation: 5x5 = 25

plz mark branilyest

xz_007 [3.2K]3 years ago

3 0

Answer: 25

Step-by-step explanation: A perfect square is a number that can be expressed as the product of two equal integers. hope this helps

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A home owner wants to purchase two different chairs for the living room, one for in front of the fire place and one for in front

Ipatiy [6.2K]

Using the combination formula, it is found that photos of 9 different chairs were shown to the home owner.

The order in which the chairs are chosen is important, hence, the <em>permutation formula </em>is used to solve this question.

<h3>What is the permutation formula?</h3>

$P_{n,x}$ is the number of different permutations of x objects from a set of n elements, given by:

$P_{n,x} = \frac{n!}{(n-x)!}$

In this problem, two chairs are chosen from a set of n, and there are 72 different outcomes, hence:

$P_{n,x} = 72, x = 2$

$P_{n,x} = \frac{n!}{(n-x)!}$

$72 = \frac{n!}{(n-2)!}$

$72 = \frac{n(n - 1)(n - 2)!}{(n-2)!}$

$n^2 - n = 72$

$n^2 - n - 72 = 0$

Which is a quadratic function with coefficients $a = 1, b = -1, c = -72$ , hence:

$\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-72) = 289$

Taking the positive root:

$x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{289}}{2} = 9$

Photos of 9 different chairs were shown to the home owner.

You can learn more about the permutation formula at brainly.com/question/25925367

3 0

2 years ago

What is the range of y = –3sin(x) – 4?

nydimaria [60]

Answer:

The required range of the function $y=-3\sin (x)-4$ is [-7,-1]

Step-by-step explanation:

Given : Function $y=-3\sin (x)-4$

To find : What is the range of the given function?

Solution :

The range is defined as the variation in which any function is defined.

We know that the sin function lies between [-1,1]

$-1\leq \sin x\leq 1$ .....(1)

The required function is $y=-3\sin (x)-4$

Multiply equation (1) by -3

$-3\leq -3\sin x\leq 3$ .....(2)

Now, we subtract equation (2) by 4

$-3-4\leq -3\sin x-4\leq 3-4$

$-7\leq -3\sin x-4\leq -1$

Therefore, The required range of the function $y=-3\sin (x)-4$ is [-7,-1].

3 0

4 years ago

Read 2 more answers

Can you help me? I will give brainliest!

zzz [600]

Answer:

√1

Step-by-step explanation:

If you do the fractions by squaring them then you get fractions that equal 1:

5/13^2 = 25/169

12/13^2 = 144/169

144/169 + 25/169 = 169/169 = 1

√1

6 0

3 years ago

Which angle refers to the same angle as

AlladinOne [14]

Answer:

Acute

Step-by-step explanation:

it is not a right angle, that's 90

not obtuse, above 90

So acute less than 90

8 0

3 years ago

Please answer the question from the attachment.

Serhud [2]

5/3 means (5 over 3 since I can't do fractions on this) 5/3-3/3=___ 5-3=2 first you do the numerators You keep the denominator the same since both denominators are 3 Then you put it together and get 2/3 and since 2/3 can't be reduced, 2/3 is the answer

4 0

4 years ago