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suter [353]
2 years ago
11

Y/x^2 + y/x^3perform the operation and express your answer as a single fraction​

Mathematics
1 answer:
umka2103 [35]2 years ago
3 0

Answer:

\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}

Step-by-step explanation:

Given the expression

\frac{y}{x^2}+\frac{y}{x^3}

Let us perform the operation and express your answer as a single fraction​

\frac{y}{x^2}+\frac{y}{x^3}=\frac{x^3y+x^2y}{x^5}

            =\:\frac{x^2\left(xy+y\right)}{x^5}

            =\frac{\left(xy+y\right)}{x^3}

Therefore, we conclude that:

\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}

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What is the value of x in the proportion (x - 1)/5 = (4x + 2)/35?
nirvana33 [79]

Answer:

x=3

Step-by-step explanation:

1. cross multiply to get

5(4x+2)= 35(x-1)

2. distribute

20x+10=35x-35

3. combine like terms

45=15x

4. divide :)

3=x

6 0
3 years ago
Read 2 more answers
Find all real solutions of the equation. (if there is no real solution, enter no real solution.) 35x2 12x − 36
solmaris [256]
Important:  35x2 12x − 36 is not an equation; to obtain an equation, you must set <span>35x2 12x − 36 = to 0:

</span><span>35x^2 + 12x − 36 = 0.  Also, "the square of x" must be represented by "x^2," and you must insert either the + or the - sign in front of the term 12x.

I am assuming that you meant   </span>35x^2 + 12x − 36 = 0.

If that is indeed the case, then a = 35, b = 12 and c = -36

and the discriminant is b^2 - 4ac, or (12)^2 - 4(35)(-36) = 5184.

Since the discriminant is positive, this equation has 2 real, unequal solutions.  They are
        -12 plus or minus sqrt(5184)
x = -----------------------------------------
                         2(35)
7 0
3 years ago
An average computer mouse inspector can inspect 50 mice per hour. The 48 computer mice inspectors at a particular factory can on
Ronch [10]

Answer:  C. Yes, because -2.77 falls in the critical region .

Step-by-step explanation:

Let \mu be the population mean .

As per given , we have

H_0:\mu=50\\\\ H_a: \mu

Since the alternative hypothesis is left-tailed and population standard deviation is not given , so we need to perform a left-tailed t-test.

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

Also, it is given that ,

n= 48

\overline{x}=46

s= 10

t=\dfrac{46-50}{\dfrac{10}{\sqrt{48}}}=\dfrac{-4}{\dfrac{10}{6.93}}\\\\=\dfrac{-4}{1.443}\approx-2.77

Degree of freedom = df = n-1= 47

Using t-distribution , we have

Critical value =t_{\alpha,df}=t_{0.025,47}=2.0117

Since, the absolute t-value (|-2.77|=2.77) is greater than the critical value.

So , we reject the null hypothesis.

i.e. -2.77 falls in the critical region.

[Critical region is the region of values that associates with the rejection of the null hypothesis at a given probability level.]

Conclusion : We have sufficient evidence to support the claim that these inspectors are slower than average.

Hence, the correct answer is C. Yes, because -2.77 falls in the critical region

4 0
3 years ago
Can someone help me finish this question?
eduard
If 1 is 65 then:

2=180-65=115
3=65
4=115
5=115
6=65
7=115
8=65
6 0
3 years ago
Find the volume of the sphere. Leave your answers In terms of pi
KonstantinChe [14]

Answer:

volume of the sphere

\frac{4}{3}  \times \pi \times  {r}^{3}  \\  \frac{4}{3} \:  \times \pi \times 1000 \\  1333.333333333\pi {in}^{3}

answer is option C

8 0
2 years ago
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