y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39.

Answers

Answer 1

Answer:

24

Step-by-step explanation:

y is directly proportional to the square root of ( x-3):

y = k[tex]\sqrt{x-3}[/tex], where k is the coefficient of proportionality

Given:

y is 20 when x is 28

Find k:

20 = k[tex]\sqrt{28-3}[/tex]20 = k* 5k = 20/5k = 4

Find y when x = 39:

y = 4[tex]\sqrt{39-3}[/tex]y =4[tex]\sqrt{36}[/tex]y = 4*6y = 24
Answer 2

Answer:

y = 24

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is

y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion

To find k use the condition when x = 28, y = 20 , then

20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )

4 = k

y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion

When x = 39 , then

y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24


Related Questions

please help me :) there is a picture

Answers

Yes it’s on the line.
Explanation: the ratio of the point (20,16) is 5/4 and the slope of the line is 5/4. You can also take the slope of (20,16) and (4,5) they also have the slope 5/4

$75 to $25 show your work

Answers

Answer:

decrease

Step-by-step explanation:

the percent change measures FROM the first value. A change from 50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50). A change from 75 to 50 is a change of -33.3% (25 is still the difference between the two. 25 is 33.3% of 75

a point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2)=25 is?

Answers

The point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).

What is the equation of the circle with radius r units, centered at (x,y) ?

If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,

then, its equation is given as:

(x-h)^2 + (y-k)^2 = r^2

The given equation is

(x+10)^(2)+(y+1)^(2)=25

Where,

h = - 10

k = -1

r = 5

If x = -6 and y = 2

then the given equation of circle is stidfy the given points.

Hence, the point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).

Learn more about equation of a circle here:

https://brainly.com/question/10165274

#SPJ2

Evaluate [tex]\frac{15}{k}[/tex] when k =3

Answers

if k=3 then the answer is 5

Is this answer right?

Answers

Answer:

  Blank 1: 64° (or 32°, depending on what the label applies to)

  Blank 2: 42

Step-by-step explanation:

It is a common mistake to believe you have solved the problem when you have found the value of the variable(s) in the problem. You have correctly found the values of n (42) and m (9). However, that is not what the problem is asking for.

We cannot tell if the value (1/2n+11)° is referring to angle DAB, or to angle CAB. In any event, (1/2n+11)° = (1/2×42 +11)° = 32°.

If that is angle CAB, then angle DAB is twice that value, 64°.

If that is angle DAB, then angle DAB is 32°.

__

The side length CD is the same as any other side length in a rhombus, so ...

  CD = 4m+6 = 4×9 +6

  CD = 42 . . . . units

Model with Two-Step Inequalities: Quiz! (ONLY 4 QUESTIONS PLS DONT PUT LINK :< )
Q1. A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.

How many seconds, s, will it take for the balloon to drop to below 215 feet?

Drag and drop a symbol and value to correctly complete the solution to this inequality.
--------------------------------------------------------------------------------------------------------------------
QUESTION 2. For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.

How many minutes can the liquid can stay in the cooler?

Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler _______ minutes.
Choose..."At most 10.1", "More then 10.1", "At least 10.1" or "Fewer than 10.1"
----------------------------------------------------------------------------------------------------------------------
QUESTION 3. A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.

What was the gopher's original position, p, relative to the surface?

Enter your answer to complete the inequality.
p__
-----------------------------------------------------------------------------------------------------------
Q4. Robbie is going shopping. He has no more than $65.00 to spend. He wants to buy a pair of shoes for $21.95 and some shirts that cost $10.50 each.

Which inequality can Robbie use to determine how many shirts, s, he can buy?
_-------------------------------------------------------------------------------------------------------------------_
YAY YOU MADE IT! Thanks if you actually answered correctly...you really made my day! :)) Sending virtual hugs your way! And here is 50 points for completing my quiz you smart and mighty warrior! <3 <3 <3 Bye!

Answers

Answer:

For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.

How many minutes can the liquid can stay in the cooler?

Select from the drop-down menus to correctly complete the statement.

 

The liquid can stay in the cooler fewer than 10.1 minutes.

Step-by-step explanation:

write the equation of the line that passes through the given point and has the given slope write all final answers in slope intercept form (3,-8); slope = -3​

Answers

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-8 = -3×3 + b = -9 + b

1 = b

so, the full line equation is

y = -3x + 1

PLEASE HELPPPP! i already asked the question but no one answered.. and my test is due in 20 minutes IM BEGGIN for the map above, state the domain and range, then determine if the relation is a function.

Answers

not a function

because the income(x) cannot have multiple outcomes that are different

Answer:

Step-by-step explanation:

domain is x = input = {3, 6, 12, 18}

Range is y = output = {5, 7, 9, 10}

for x = 6 y has two values y = 5, 10

so it is not a function

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6

Answers

The correct answer choice is option B

PLEASE HELP!!! URGENT!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

For a relation to be a function then every value of x must map to exactly one unique value of y.

Here every x- value corresponds to exactly one y- value

Then the ordered pairs represent a function

find the domain below

Answers

Answer:

Interval Notation: [-2, 10]

Set Notation: {x|-2≤x≤10}

Step-by-step explanation:

Graph: y < 1/3x+1/2 plot this on a graph

Answers

it's was helpful to you dear ❤️❤️❤️

Answer:

Plot (0.5, 1.5) on the graph.

Which point is a solution to the inequality? (3, 1/2)

Step-by-step explanation:

3(11-2x)=27
solve the equation

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve for x ~

[tex] \sf3(11 - 2x) = 27[/tex]

[tex]\sf33 - 6x = 27[/tex]

[tex]\sf - 6x = 27 - 33[/tex]

[tex] - 6x = - 6[/tex]

[tex]x = - 6 \div - 6[/tex]

[tex]x = 1[/tex]

Value of x is ~

[tex] \boxed{ \boxed{ \sf \: 1 \: }}[/tex]

[tex]\mathrm{✌ \: Kaul ~✌}[/tex]

John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have a small amount of money to spend on treats at the school canteen that his parents refuse to buy, but he also wanted to build up some savings. John decided to put a fraction of his earnings into a jar straight away. He spent all the rest on canteen treats.


How much money did John earn over a nine week term?

After 9 weeks, John had $378 in his jar. What percentage of his money did he save?

Answers

Answer:

He earns $540

70% of his money went to savings

Step-by-step explanation:

9 weeks x 5 days a week = 45 days

45 days x $12 a day = $540

378 * 100 / 540 =  (378*100) / 540 =  37800/540 = %70

8
-6
4

-8-
What is the domain of function m?
co
-2
-8
6
- 4
x
HELPP

Answers

Answer:

( - ∞, ∞ )

Step-by-step explanation:

The domain of the function is all values of x , that is

- ∞ < x < ∞ , or in interval notation

(- ∞, ∞ )

Find the length x.
2
4
5
X

Answers

Answer:

2.5

Step-by-step explanation:

5/4 = x/2

yeah-ya... right

help me please someone

Answers

Step-by-step explanation:

a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.

the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.

that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.

so, yes, therefore the area grows or shrinks with the square of the scale factor.

FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.

1. k=2

new area = k² × old area = 4 × 12 = 48 square units.

2. k=5

new area = k² × old area = 25 × 12 = 300 square units.

3. k=1

new area = k² × old area = 1 × 12 = 12 square units.

4. k=1/4

new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.

5. k=1.2

new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.

Find the slope of the line that passes through the point (-3,20), (12,15)

Answers

So the formula to use is (y2-y1)/(x2-x1) so that would be (15-20)/(12-(-3) then that become -5/15 and then the answer would be -1/3 hope this helps

How do I factor this expression
2xy-x^2y-6+3x

Answers

Answer: (-x+2) (xy-3)
Steps:
I did the math on paper but my phone camera is broken so I can’t add it here. If you need the steps I can provide a picture of an online calculator because it’s too complicated to type it out here. Just comment if you need the steps!

I hope this helps!

1 gal = ____ pt

A) 8.085 pt
B) 8.85 pt
C) 88.5 pt
D) 0.8085 pt

eh? ​

Answers

Answer:

1 gal = ____ pt

A) 8.085 pt

lelz XD

Find 56÷512 . Write in simplest form.

Answers

Answer:

0.109375

Step-by-step explanation:

Answer:

[tex]^7/_{64}[/tex]

Step-by-step explanation:

[tex]56\div512={^5^6}/_{512}[/tex]

Look for the [tex]GCF[/tex] of [tex]56[/tex] and [tex]512[/tex]

we find that it's [tex]8[/tex]

[tex]56\div8=7\\512\div8=64[/tex]

our fraction in simplest form is [tex]^7/_{64}[/tex]

Can someone help me with this. I tried to total all them up with 180 but none of the answers i got match the ones from the riddle

Answers

Answer:

9. x=102

10. x=56

11. x=104

12. x=138

Step-by-step explanation:

9.  In this problem, they are alternate exterior angles, meaning they are the same value.  x=102

10.  x is a corresponding angle, meaning they are the same. x=56

11. There are consecutive interior angles. The sum of these two angles is 180. to find x, subtract 76 from 180.  180-76 = 104  x = 104

12. These two angles are verticle angles, meaning they are equivalent. x = 138

Foster is centering a photo that is 9 1/2 inches wide on a scrapbook page that is 10 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number. / pls help quick

Answers

Answer:

should be 1/4 inches away from each side

Step-by-step explanation:

all I did was take the 10 inches,subtract 9.5 from that to get 1/2 left.

since it needs to be centered, divide that by two for each side.

and 1/2 ÷ 2 = 1/4

so I got 1/4 inches on each side.

If (x 2y)dy/dx=2x-y what is the value of.

Answers

The second differential of the function is 3/7

Given the differential function [tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]

Differentiate both sides with respect to x implicitly

[tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]

[tex]1+2y'=y"(2x-y)+y'(2-y') \\y''=\frac{1+2y'}{(2x-y)+y'(2-y') }[/tex]

Get the first derivative at the point (3, 0)

[tex]y'=\frac{2x-y}{x+2y} \\y'=\frac{2(3)-0}{0+2(3)}\\y'=\frac{6}{6} \\y'=1[/tex]

Substitute into the second derivative to have:

[tex]y''=\frac{1+2y'}{(2x-y)+y'(2-y') }\\y''=\frac{1+2(1)}{(2(3)-0)+(1)(2-(1)) }\\y''=\frac{3}{6+1} \\y''=\frac{3}{7}[/tex]

Hence the second differential of the function is 3/7

learn more on differential equation here; https://brainly.com/question/18760518

Complete question:

If (x 2y)dy/dx=2x-y what is the value of [tex]\frac{d^2y}{dx^2}[/tex] the point (3,0)

Somebody please help

Answers

Answer:

c/  y=20x

Step-by-step explanation:

Please help find x it would helpful

Answers

Answer:

12

Step-by-step explanation:

Apply the second theorem of Euclides.

x^2= 16*9 follows that x = sqrt(9*16) = sqrt(144) = 12

sqrt means square root

Answer: 12
Explanation:









which shows 2^-2 * 2^6 in exponential form

Answers

Answer:

16

Step-by-step explanation:

2^-2=0.25

2^6=64

times

=16

The aquarium in Mrs. Mnon's
class holds 10 gallons. How many
quarts does the tank hold? How
many pints? Please

Answers

There are 4 quarts in a gallon and 8 pints in a gallon so 40 quarts or 80 pints

hey guys did I get any of these right, if not pls help me.

Answers

i think all of it are correct

Answer:Yep! All of them are right! Great job!

Step-by-step explanation:

Anyone know how to answer this

Answers

Answer:

21

Step-by-step explanation:

The average rate of change of function f(x) from x = a to x = b is

[tex] \dfrac{f(b) - f(a)}{b - a} [/tex]

Here we have

a = -1

b = 2

f(a) = f(-1) = 1

f(b) = f(2) = 64

[tex] \dfrac{f(b) - f(a)}{b - a} = [/tex]

[tex] = \dfrac{f(2) - f(-1)}{2 - (-1)} = [/tex]

[tex] = \dfrac{64 - 1}{2 + 1} [/tex]

[tex] = \dfrac{63}{3} [/tex]

[tex] = 21 [/tex]

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