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3 years ago

What is now the length in meters?

Mathematics

2 answers:

e-lub [12.9K]3 years ago

6 0

If you have the area of a rectangle as x2 - 49 your factorised version would be (x-7) and (x+7). Since you cannot have a negative measurement it would 7

Natasha_Volkova [10]3 years ago

5 0

I think length is 7－x.

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You deposit $2000 into an account that pays 6% compounded monthly. a. How much money will you have in the account after 1 year?

Masteriza [31]

We have a deposit of $2000 into an account that pays 6% compounded monthly, after a year we will have:

$\begin{gathered} \text{account}_{\text{year}}=2000\cdot(1+\frac{6}{100})^{12} \\ \text{account}_{\text{year}}=4024.4 \end{gathered}$

The effective annual yield (EAY) will be:

$\text{EAY}=\frac{account_{year}}{2000}-1=\frac{4024.14}{2000}-1=1.0122$

The EAY is 101.22%

8 0

1 year ago

the vet charges $45 for an office visit and $10 for each vaccination your dog needs. write an eaquation

ser-zykov [4K]

Answer:

45+10x = y

Step-by-step explanation:

$45 -- stays the same no matter what so that's constant.

$10 -- this varies dependent on the number of vaccinations your dog needs, so you'd use a variable to represent the number of vaccinations (in this case I'm using variable "x").

So, for example if your dog needed 7 vaccinations, it would be: 45+10(7) = y -- answer being $115.

6 0

3 years ago

There are 135 people and three door prizes. how many ways can door prizes of $7,500, $750 and $75 be distributed?

igomit [66]

Answer: 2405970 ways

Step-by-step explanation:

When the order of selecting r individuals out of n individual , we use permutations.

The number of permutations of r things taking out of n things is given by :-

$^nP_r=\dfrac{n!}{(n-r)!}$

Given : There are 135 people and three door prizes .

i.e. n= 135 , r= 3

Then, the total number of ways = $^{135}P_3=\dfrac{135!}{(135-3)!}$

$=\dfrac{135\times134\times133\times132!}{132!}\\\\=135\times134\times133\\\\=2405970$

Hence, there are 2405970 ways to distribute door prizes of $7,500, $750 and $75 .

6 0

3 years ago

Help please I’ll give you 25 points

Ira Lisetskai [31]

Answer: Choice D) $y = \pm \sqrt{x+5}$

The steps to finding the inverse will have us swap x and y. Afterward, we solve for y

$y = x^2 - 5 \\\\x = y^2 - 5 \\\\x+5 = y^2 \\\\y^2 = x+5 \\\\y = \pm \sqrt{x+5} \\\\$

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Extra info:

The inverse relation is not a function because of the plus minus. For instance, plugging x = 4 into $y = \pm \sqrt{x+5}$ leads to y = -3 and y = 3 simultaneously. You would have to apply a domain restriction on $y = x^2-5$ to make it a one-to-one function, to make the inverse a function. One possible domain restriction is $x > 0$ which would lead to the inverse function $y = \sqrt{x+5}$

4 0

3 years ago

How do i factor x^4+6x^2-7 completly?

liq [111]

The factoring can be done similarly to a quadratic equation thanks to x^4 being the square value of x^2.

x^4 + 6x^2 - 7
x^4 - x^2 + 7x^2 - 7
(x^4 - x^2) + (7x^2 - 7)
x^2(x^2 - 1) + 7(x^2 - 1)
(x^2 + 7)(x^2 - 1)
(x^2 + 7)(x - 1)(x + 1)

Factored completely we get: (x^2 + 7)(x - 1)(x + 1)

8 0

3 years ago

Read 2 more answers