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

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:

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.

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

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

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

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

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:

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]

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

Answer:

Interval Notation: [-2, 10]

Set Notation: {x|-2≤x≤10}

Step-by-step explanation:

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

Step-by-step explanation:

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]

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve for x ~

Value of x is ~

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

[tex]\mathrm{✌ \: Kaul ~✌}[/tex]

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)

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

Answer:

1 gal = ____ pt

lelz XD

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:

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

Answer:

( - ∞, ∞ )

Step-by-step explanation:

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

- ∞ < x < ∞ , or in interval notation

(- ∞, ∞ )

Answer:

16

Step-by-step explanation:

2^-2=0.25

2^6=64

times

=16

Answer:

2.5

Step-by-step explanation:

5/4 = x/2

yeah-ya... right

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

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

Answer:

c/  y=20x

Step-by-step explanation:

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.