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SashulF [63]
3 years ago
13

Write the inverse variation function given that y varies inversely with x, and y = 0.25 when x = 8.

Mathematics
1 answer:
storchak [24]3 years ago
5 0

Answer:

Step-by-step explanation:

If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.

If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes

y = k/x

When y = 0.25, x = 8

Substituting into the expression above, it becomes

0.25 = k/8

k = 0.25 × 8

k = 2

The inverse variation function is

y = 2/x

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olga2289 [7]
13*4= 52

52+52+13+13= 130

"B" is the correct answer.

I hope this helps!
~kaikers
4 0
3 years ago
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Fill in the blank to complete the following sentence. The two roots a +sqrt b and a- sqrt b are called ______ radicals.
katrin [286]

The two roots a + sqrt b and a - sqrt b are called conjugate radicals.

<u>Solution:</u>

Given that the two roots a + sqrt b and a - sqrt b are called ______ radicals.

Now let us write the each of the given two radicals in mathematical form.

So, first radical ⇒ a + sqrt b ⇒ a+\sqrt{b}   [ since sqrt means square root]

Now second radical ⇒ a - sqrt b ⇒ a-\sqrt{b}

We have to find the relation between a+\sqrt{b} \text { and } a-\sqrt{b}

Now, if observe a+\sqrt{b}  is conjugate of a-\sqrt{b} \text { as }(a+\sqrt{b})(a-\sqrt{b})=a^{2}-b

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4 0
3 years ago
Select all the expressions ​
enot [183]

Answer:

B, C, E

Step-by-step explanation:

Answer choice A):

$300 ×  = $75

* This answer choice represents the calculation of discount only and not the final selling price of the bicycle.

Answer choice B):

$300 ×  = $225

* This answer choice represents the calculation of the final selling price of the bicycle.

Answer choice C)

$300 × (1 - ) = $225

* This answer choice represents the calculation of the final selling price of the bicycle.

Answer choice D):

$300 - 1/4

*This answer choice shows an incorrect equation which neither represents the calculation of the discount nor the final selling price of the bicycle.

Answer choice E):

$300 -  × $300

Applying the rule of PEMDAS,

We start with division; 1 ÷ 4 = 0.25

Then we go to multiplication; 0.25 × $300 = $75

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* This answer choice represents the calculation of the final selling price of the bicycle.

4 0
3 years ago
A taco shop is offering a 20% discount on their nacho plate. The original cost of the nacho plate is $15. After applying the dis
Serga [27]

Answer:

3$

Step-by-step explanation:

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So all you have to do is:

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Thus the post-discount amount is $3.

8 0
3 years ago
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qwelly [4]

Answer:

S.E=1183.2

Step-by-step explanation:

From the question we are told that:

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Generally the equation for Standard error  is mathematically given by

S.E=\frac{ \sigma}{ \sqrt n}

S.E= \frac{14000}{\sqrt 140}

S.E=1183

6 0
3 years ago
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