assume that y varies inversely with x. If y= 1.6 when x= 0.5, find x when y= 3.2

Answers

Answer 1

Answer:

x = 0.25

Step-by-step explanation:

If y varies inversely with x, then:

[tex]y \propto \dfrac{1}{x} \implies y=\dfrac{k}{x} \quad \textsf{(for some constant k)}[/tex]

Given:

y = 1.6 when x = 0.5

Substitute the given values into the found equation and solve for k:

[tex]\implies 1.6=\dfrac{k}{0.5}[/tex]

[tex]\implies k=1.6(0.5)[/tex]

[tex]\implies k=0.8[/tex]

Therefore:

[tex]y=\dfrac{0.8}{x}[/tex]

To find the value of x when y = 3.2, substitute y = 3.2 into the found equation and solve for x:

[tex]\implies 3.2=\dfrac{0.8}{x}[/tex]

[tex]\implies x=\dfrac{0.8}{3.2}[/tex]

[tex]\implies x=0.25[/tex]


Related Questions

Given g of x equals cube root of the quantity x minus 3, on what interval is the function positive?

Answers

The function g(x) = ∛(x -3) is positive at the interval x > 3

Complete question

Given g(x) = ∛(x -3), on what interval is the function positive?

How to determine the positive interval?

The function is given as:

g(x) = ∛(x -3)

Set the radicand to positive

x - 3 > 0

Add 3 to both sides

x > 3

Hence, the function is positive at the interval x > 3

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This should be easy. Answer it please :D

Answers

Answer:

is it 1 ques or 4 different questions?

The scale on a map is 1 : 25000
How many kilometres on the ground is represented by 7 cm on the map?

Answers

Answer:

175000 km

Step-by-step explanation:

the 1:25000 essentially means that every centimeter represents 25000 kilometers. so the answer is 175000 by multiplying 7 and 25000

cos2pi/7+cos4pi/7+cos8pi/7=1/8

Answers

An equation is formed of two equal expressions. The given equation is not true.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The complete question is: Check whether the given equation is true or not?cos2pi/7+cos4pi/7+cos8pi/7=1/8.


To know if the given equation, [tex]cos\dfrac{2\pi}{7}+cos\dfrac{4\pi}{7}+cos\dfrac{8\pi}{7}=\dfrac18[/tex] is true or not, both the sides of the equation are needed to be solved separately.

The value of [tex]cos\dfrac{2\pi}{7}+cos\dfrac{4\pi}{7}+cos\dfrac{8\pi}{7}[/tex] when simplified is equal to -0.5, or the value can be written as -(1/2).

Since the right side of the equation is equal to -1/2, while the right side of the equation is 1/8. Thus, the given equation is not true.

Hence, the given equation is not true.

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Please answer!!

-3 + 4/7 - 1/5

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

-92/35

Step-by-step explanation:

-3 + 4/7 - 1/5 =

-21/7 + 4/7 - 1/5 =

-(21*5) / (7*5) + (4*5)/(7*5) - (1*7)/(5*7) =

-105/35 + 20/35 - 7/35 =

-105+20-7 / 35 = -92/35

What is the midpoint of the class interval 80-89?

Answers

The midpoint of the class interval 80-89 is 84.5.

What is mid point of a class interval?

The mid point of a class interval is also called the class mark of the class interval.

The midpoint is defined as the average of the upper and lower class limits.

Therefore, the midpoint of the class interval 80-89 can be calculated as follows:

mid point = 80 + 89 / 2

mid point = 169 / 2

mid point = 84.5

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image Which of the following statements is true for ∠a and ∠b in the diagram?

Answers

Answer:

You have not added a picture soi can not help answer this question.

Step-by-step explanation:

Add the picture by either taking a photo or screenshot of the question then upload it.

help pls i’ll do anything D:

Answers

Answer:

search it up ok that's all you can do

Given the function, f(x)=√x-2 +3, choose the correct transformation.
right 2, up 3
Right2, down 3
left 2, up 3
left 2, down 3

Answers

Im only doing this for. Points so id say probably around at least 5

3. Find the measure of angle TOS in the figure below.

Answers

∠ROQ and ∠TOS are vertically opposite angles, so must be equal, which means they are 122°

∠TOS = 122°

Estimate the sum
6 13/28 + 8 3/32

Answers

Answer:

14 will be the answer...

Step-by-step explanation:

6 13/28 = 6

8 3/32 = 8

6 + 8 = 14

1
A circle is defined by the equation given below.
x² + y²
2y -
What are the coordinates for the center of the circle and the length of the radius?
X
= 0
ig Algebr
OA. (1, 1), 2 units
OB. (-1,-1), 2 units
OC. (,1), 4 units
OD. (-1,-1), 4 units
Reset
Next

Answers

The coordinates for the center and length of the radius of this circle are equal to (½, 1), 2 units.

How to determine the coordinates?

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

h and k represent the coordinates at the center.r is the radius of a circle.

In order to determine the coordinates for the center and the length of the radius of this circle, we would use completing the square method:

x² + y² - x - 2y - 11/4 = 0

x² - x + ¼ + y² - 2y = 11/4 + ¼

(x - ½)² + y² - 2y + 1 = 12/4 + 1

(x - ½)² + (y - 1)² = 4

Comparing with the standard form, we have:

h = ½k = 1r = √4 = 2 units.

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Complete Question:

A circle is defined by the equation given below.

x^2 + y^2 − x − 2y − 11/4 = 0

What are the coordinates for the center of the circle and the length of the radius?

Alison has three times as many dimes as quarters in her purse. She has $9.35 altogether. How many coins of each type does she have?

Answers

Answers:  17 quarters and 51 dimes

========================================================

Work Shown:

x = number of quarters

3x = number of dimes

0.25x = value of just the quarters, in dollars

0.10(3x) = 0.30x = value of just the dimes, in dollars

0.25x+0.30x = 0.55x = total value in dollars

0.55x = 9.35

x = (9.35)/(0.55)

x = 17

Alison has 17 quarters and 3x = 3*17 = 51 dimes

17 quarters = 17*0.25 = $4.25

51 dimes = 51*0.10 = $5.10

17 quarters + 51 dimes = $4.25 + $5.10 = $9.35

The answers are confirmed.

Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?

Answers

The true statement is Peter walks at a rate of 13 over 4 miles per hour.

What is the true statement?

Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases. When the hour Peter walks increases, the distance he walks also increases.

Here are the options:

Peter walks at a rate of StartFraction 4 over 13 EndFraction miles per hour.

Peter walks at a rate of 4 miles per hour.

Peter walks at a rate of StartFraction 13 over 4 EndFraction miles per hour.

Peter walks at a rate of 13 miles per hour.

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What is the missing reason in the proof?
A.) Segment addition
B.) Congruent Segments Theorem
C.) Transitive Property of Equality
D.) Subtraction Property of Equality

Answers

Answer:

I think it's C. transitive property of equality

tan A + sin A/tan A-sin A
= sec A +1/sec A-1

Answers

We need to prove

[tex]\frac{\tan A+\sin A}{\tan A-\sin A}=\frac{\sec A+1}{\sec A-1}[/tex]

[tex]\text{LHS}=\frac{\tan A+\sin A}{\tan A-\sin A}\\\\=\frac{\frac{\sin A}{\cos A}+\sin A}{\frac{\sin A}{\cos A}-\sin A}\\\\=\frac{\sin A+\sin A \cos A}{\sin A-\sin A \cos A}\\\\=\frac{\sin A(1+\cos A)}{\sin A(1-\cos A)}\\\\=\frac{1+\cos A}{1-\cos A}\\\\=\frac{1+\frac{1}{\sec A}}{1-\frac{1}{\sec A}}\\\\=\frac{\sec A+1}{\sec A-1}\\\\ =\text{RHS}[/tex]

can you help me solve this question

Answers

Answer: Coordinates: (1,3) length RS: 3 length RT: 2 ST: 3.6

Step-by-step explanation:

a^2+b^2=c^2

3^2+2^2=c^2

9+4=c^2

13=c^2

3.6=c

There are 12 ducks and 11 geese in a certain park. Find the ratio of geese to ducks.

Answers

The ratio of the geeses to ducks will be 11:12 because there are 11 geeses and 12 ducks :)

Please help!!!
Consider the segment UV.
Type the correct answer in each box. Use numerals instead of words.

Answers

the midpoint of segment UV will be (1,5)

find the averages of each x and y coordinate and you have ur midpoint. if you need a better explanation, let me know!

What is the value of y?

Enter your answer in the box

Y=_

Answers

Answer:

the angles of a triangle always equal 180 so

34+x-5+4y=180

simplify

29+x+4y=180

-29

x+4y=151

-4y

x=-4y+151

then put this into the original equation

29-4y+151+4y=180

simplify

29+151=180

so this proves that this works

-1/4x-151=y

Hope This Helps!!!

i need this answer a.s.a.p!!!

Answers

Answer:

Should have ended with "at most -15, not "at least -15."

Step-by-step explanation:

[tex]\leq[/tex] -15 means less than or equal to -15

So it can be -15, but also anything less than -15.  The phrase "at most -15, not "at least -15" says exactly that.

2(2x – 1) + 7 < 13 or –2x + 5≤-10

Answers

Answer:

x<2 or x ≥ 15/2

Step-by-step explanation:

A number is less than 20 units away from 7 on the number line. what numbers are within these parameters? choose the inequality that represents the situation. solve the inequality.

Answers

The inequality which represents the situation is; |x - 7| < 20 and the solution is; 27 > x > -13.

What is the inequality that represents the situation?

Since the number is less than 20 units away from.the number 7 on the number line, it follows.from interpretation that the inequality is;

|x - 7| < 20

Hence; x-7 < 20; x < 27

Or

-x + 7 < 20

-x < 13

x > -13

Hence, the solution of the inequality is; 27 > x > -13.

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I’m confused nd stuck

Answers

Answer:

B. (4,2)

Step-by-step explanation:

The answer is where the lines intersect.

Hope this helps!

If not, I am sorry.

Answer:

(4,2)

Step-by-step explanation:

the solution is where both lines intersect. We would write the point as (x,y). That’s why the answer is (4,2) not (2,4)

what is 10.465 - (-25.21)

Answers

Answer: 35.675

Step-by-step explanation:

10.465−(−25.21)

The opposite of −25.21 is 25.21.

10.465+25.21

Add 10.465 and 25.21 to get 35.675.

35.675


HELP ASAP PLS ILL MARK YOU BRAINLIEST

Answers

The answer should be C

The origin has moved two to the right and two up. This means there must be (x-2) and a +2 at the end of the equation. The function visibly is a cube root so that all matches function C

Answer:

c is the answer.

Use the multiplication law for logarithm to expand the following expression:[tex]log_{8} (21)[/tex]
- worth 20pt

Answers

Answer:

[tex]\log_8{(3)} + \log_8{(7)}[/tex]

Step-by-step explanation:

Product Rule for Logarithms

[tex]\log_b{(mn)} = \log_b{(m)} + \log_b{(n)}[/tex]

Instead of 21 you can write 3 · 7, because 21 = 3 · 7.

[tex]\log_8{(21)} = \\= \log_8{(3 \cdot 7)} =\\= \log_8{(3)} + \log_8{(7)}[/tex]

please place the dot for me(20 points will give brainliest!!!)

Answers

Answer:

Domain & Range are both all real numbers.

Step-by-step explanation:

i

If this was a traditional parabola, the range would be y<=4. However, the arrow on the left going back up means eventually y will go to both positive & negative infinity.

Tried every app none have the answer please help

Answers

Answer:

opotion has not correct answer

answer is 15.

Answer:

[tex]3^\frac{7}{10}[/tex]    or      [tex]\sqrt[10]{3^7}[/tex]

Step-by-step explanation:

[tex]\left(\sqrt{3}\right)\left(\sqrt[5]{3}\right)=\sqrt[10]{3^7}\quad[/tex]

(√3)([tex]\sqrt[5]{3}[/tex]) = √3 · [tex]\sqrt[5]{3}[/tex]

{√3 = [tex]3^{\frac{1}{2}}[/tex]}                 {radical rule: [tex]\sqrt{x}=x^1^/^2[/tex]}

[tex]\sqrt3[/tex][tex]\sqrt[5]{3}[/tex] =  [tex]3^{\frac{1}{2}}[/tex] · [tex]\sqrt[5]{3}[/tex]

{[tex]\sqrt[5]{3}[/tex] = [tex]3^{\frac{1}{5}}[/tex]}                  {radical rule: [tex]\sqrt[n]{x} = x^1^/^n[/tex]}

 [tex]3^{\frac{1}{2}}[/tex] · [tex]\sqrt[5]{3}[/tex] =   [tex]3^{\frac{1}{2}}[/tex] · [tex]3^{\frac{1}{5}}[/tex]     {exponent rule:  [tex]a^x*a^y=a^x^+^y[/tex]}

                (1/2 + 1/5 = 5/10 + 2/10 = 7/10)

              [tex]=3^\frac{7}{10}[/tex]        {opposite of radical rule: [tex]\sqrt[n]{x} = x^1^/^n[/tex] ;  [tex]x^\frac{a}{b}=\sqrt[b]{x^a}[/tex]}

             = [tex]\sqrt[10]{3^7}[/tex]

so, the simplified version of this equation can either be written as:

[tex]3^\frac{7}{10}[/tex]    or      [tex]\sqrt[10]{3^7}[/tex]

hope this helps!!

(I can't clearly see the last option, but if it's either of these, then it's correct)

What is the product? Assume x>0.
(√3x + √5)√15x+2√30
O 3x√√5+3√165x+10-√√6
O 3x√5 +6√10x +5√3x +10√/6
O 3x√5+10√6
0 6√3x+10√6

Answers

Step-by-step explanation:

well you can distribute the sqrt(15x) to the (√3x + √5) and then combine the radicals using the product property of radicals: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex].

[tex](\sqrt{3x} + \sqrt{5})\sqrt{15x} + 2\sqrt{30}\\(\sqrt{3x} * \sqrt{15x}) + (\sqrt{5} * \sqrt{15x}) + 2\sqrt{30}\\\sqrt{45x^2} + \sqrt{75x} + 2\sqrt{30}\\[/tex]

Now we can simplify the radicals using the same property we used to combine them but instead of combining into one radical we'll separate them into two radicals where one of the radicals simplifies into a number without a radical

[tex](\sqrt{9} * \sqrt{x^2} * \sqrt{5}) + (\sqrt{25} * \sqrt{3x}) + 2\sqrt{30}\\3x\sqrt{5} + 5\sqrt{3x} + 2\sqrt{30}[/tex]

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