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3 years ago

Julianne needs 7 yards of string for her kite. She

Mathematics

1 answer:

notsponge [240]3 years ago

8 0

Answer: 6 3/8 yards more

Step-by-step explanation:

7/1 - 5/8= 6 3/8

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Find the following quotient. (5−4i)/(5+4i) Answer in the form (a+bi)/c .

Umnica [9.8K]

Answer:

Step-by-step explanation:

$\frac{5-4i}{5+4i}=\frac{(5-4i)*(5-4i)}{(5+4i)*(5-4i)}\\\\$

Now numerator is in the form (a - b)² & denominator in the form (a+b)(a - b)

(a -b)² = a² - 2ab + b²

(a + b)(a-b) = a² - b²

$\frac{(5-4i)^{2}}{(5)^{2}-(4i)^{2}}=\frac{5^{2}-2*5*4i+(4i)^{2}}{25-16i^{2}}\\\\=\frac{25-40i+16i^{2}}{25-16*(-1)}\\\\=\frac{25-40i+16*(-1)}{25+16}\\\\=\frac{25-40i-16}{41}\\\\=\frac{9-40i}{41}$

3 0

3 years ago

Freeeeeeeeeee pointttttttttttttt^o^

oksano4ka [1.4K]

Thankssssss mannnnnn

6 0

4 years ago

Read 2 more answers

PLEASE help me with this question! This is URGENT!

gavmur [86]

Answer:

$\frac{1}{3x+52}$

Step-by-step explanation:

We begin with the expression

$\frac{\frac{1}{x^2+51x+50} }{\frac{2}{x+50}+\frac{1}{x+1} }$

First, we can split this into the product of two fractions

$\frac{1}{x^2+51x+50} *(\frac{1}{\frac{2}{x+50}+\frac{1}{x+1}} )$

Now, we can factor the denominator of the first fraction.

$\frac{1}{(x+1)(x+50)} *(\frac{1}{\frac{2}{x+50}+\frac{1}{x+1}} )$

Next, we need to create a common denominator for the second fraction

$\frac{2}{x+50}+\frac{1}{x+1}\\\\\frac{2}{x+50}*\frac{x+1}{x+1} +\frac{1}{x+1}*\frac{x+50}{x+50} \\\\\frac{2x+2}{(x+1)(x+50)} + \frac{x+50}{(x+1)(x+50)}\\\\ \frac{3x+52}{(x+1)(x+50)}$

Now to return this portion to the denominator of the second fraction.

$\frac{1}{(x+1)(x+50)} *(\frac{1}{\frac{3x+52}{(x+1)(x+50)} } )$

Dividing by a fraction is the same as multiplying as the reciprocal of the fraction, so the second fraction becomes

$\frac{1}{(x+1)(x+50)} *\frac{(x+1)(x+50)}{3x+52}$

Now to reduce this expression by canceling out $(x+1)(x+5)$

$\frac{(x+1)(x+50)}{(x+1)(x+50)(3x+52)}\\\\\frac{1}{3x+52}$

3 0

3 years ago

As part of a study on facility needs, the administrators of a university wanted to estimate the percent of students who use the

Temka [501]

Answer:

Population is 34000 students

Sample is 770 students

Step-by-step explanation:

Population :In statistics, a population is the entire pool from which a statistical sample is drawn.

Sample: A sample refers to a set of observations drawn from a population.

We are given that 34,000 students attended the university.

Out of which a random sample of 370 male students and 400 female students was selected

So, Total students selected = 370+400=770

So, Population is 34000 students

Sample is 770 students

So, Option C is true.

4 0

3 years ago

8x + 2 – 6 = 4x +8 +3x

Viefleur [7K]

The first step is to combine like terms. So u would do 2-6. You then get -4 then u just bring everything else down. So now u should have this :

8x -4 = 4x + 8 + 3x

Now you do the same thing to the other side. U combine like terms which in this case are 4x and 3x. So u just do 4+3 which is 7 so now u have 7x. So now ur equation would be:

8x -4 = 7x +8

Now u do the inverse of 7 which would be -7 and u do that on both sides. So it would look like this :

8x -4 = 7x + 8
-7x. -7x

So now 7 and -7 cancel each other other and 8 -7 is 1 so now u have one x. So ur equation would now look like this:

1x -4 = 8

Now u do the inverse of negative 4 which is +4. So you would add 4 on both sides on both sides. Like shown:

1x -4 = 8
+4 +4

So u just add 8 + 4 which is 12. Now since anything times 1 is itself ur answer will be X=12

Hope this helped

4 0

3 years ago