1. A beaker holding 1.5 litres of water is placed in a temperature-controlled room so that 120 mL of
water evaporates each day. Use "d' as the day and V(d) as the volume of water left in beaker.
a) Use function notation to write an equation for this situation.
b)
On which day there will be 900 mL of water left in the beaker? Show all calculations.
c)
Write the domain and range of the function in set builder notation (use variables provided).
Domain:
Range

Step-by-step explanation:

perp. 1/2

y - 2 = 1/2(x + 4)

y-2 = 1/2x+2

y=1/2x+4

Answer:

(3,8)

Step-by-step explanation:

First, you need to graph a triangle using the points given.

Then reflect across y = x

R is (3,0) which when reflected across y = x is (0,3)

S is (3,3) which when reflected across y = x is (3,3)

R is (4,0) which when reflected across y = x is (0,4)

1.

60² + 30² = 4500²

Opposite corner = 67.08 ft.

//

2.

6² + 8² = 100²

The wire must be 10 ft.

//

3.

7² + 14² = 245²

The rope is 15.65 ft.

//

4.

180² + 300² = 122400²

He ran 349.85 ft.

//

I'm not too sure about question 3.

Answer:

140.4488

Step-by-step explanation:

Answer:419% of 33.52 = 140.4488

Step-by-step explanation: If you multiply .419 by 33.52 you get 140.4488

Answer:

100°

Step-by-step explanation:

The sum of all the angles in a triangle is 180°.

This is 1 + 3 + 5 = 9

180 ÷ 9 = 20

The scale factor is 20.

Multiply 5 (the greatest angle) by the scale factor.

5 x 20 = 100

Answer:

4x^8

Step-by-step explanation:

hope this helps

Answer:

36 days

Step-by-step explanation:

Total distance driven = 4 1/2 miles = 9/2 miles

Months of June and July ;

Miles driven per day = 1/8

Number of days Parker went driving :

Total miles driven / miles driven per day

9/2 miles ÷ 1/8 miles

9 /2 * 8 /1

(9 * 8) / (2 * 1)

72 / 2

= 36 days

Hence, Parker drove for 36 days

tan = opp/adj

tan 20 = opp/10

x = 10(tan 20)

x = 3.63....

x = 3.6 cm

Answer:

the common difference is +5

Step-by-step explanation:

10-5=5

15-10=5

etc.

goes up by 5 every term so the common difference is 5 or +5

Answer:

It is 5. :)

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

y=6x+11

0=6x+11

-6x=11

x=-11/6

So its a solution

Answer:

(1, 3)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect will be the solution set to the systems of equations.

If the lines are parallel, they will have no solution.

If the lines are the same, they will have infinite amount of solutions.

9514 1404 393

Answer:

  g(x) = (5x +26)/(x+5)

Step-by-step explanation:

To translate the function right h units and up k units, the transformation is ...

  f(x -h) +k

You want h=-4 (4 units left) and k=-1 (1 unit down). So, the translated function is ...

  [tex]f(x+4)-1=\dfrac{6(x+4)+7}{(x+4)+1}-1\\\\=\dfrac{6x+31}{x+5}-1=\dfrac{6x+31-(x+5)}{x+5}\\\\=\dfrac{5x+26}{x+5}[/tex]

The translated function is ...

  g(x) = (5x +26)/(x+5)

__

The original function is in red with asymptotes shown in orange. The translated function is in purple with the asymptotes shown in blue. You can see that the function has been moved 4 left and 1 down.

Answer:

im not completley sure but i think its B

Step-by-step explanation:

Step-by-step explanation:

I= prt

I= 30000×8%×2

I= 4800

total = 30000+4800

=34800

Answer:

this is binomial

3 is the degree of this equation.

9514 1404 393

Answer:

  970

Step-by-step explanation:

It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...

  (5 +2√6)³ +1/(5 +2√6)³ = 970

_____

The cube of 'a' is ...

  (5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³

  = 125 +3·50√6 +3·120 +48√6

  a³ = 485 +198√6

The reciprocal of this is ...

  b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1

  b³ = 485 -198√6

Then the sum is ...

  a³ +b³ = (485 +198√6) +(485 -198√6) = 970

Answer:

Step-by-step explanation:

here

base(b) = 13 yd

height (h) = 4 yd

area of triangle

= 1/2 *b*h

= 1/2 * 13 * 4

= 26 yd²

Answer:

10.4

Step-by-step explanation:

with reference angle 60

perpendicular (p)= 18

base(b)= x

tan 60 = p/b

[tex]\sqrt{3}[/tex]  = 18/b

b = 10.4

9514 1404 393

Answer:

Step-by-step explanation:

1. The problem preamble gives you the two ways to name the vector. You can use either its name, or the two end points. (The starting point is named first, as it is with a ray.)

The vector shown can be referred to by the names ...

  u  or  AB

__

2. The right triangle has legs 4 and 5, so the length is ...

  length = √(4² +5²) = √41

  length ≈ 6.4

__

3. Typically, you're given the leg lengths. The ratio of these is the tangent of the angle. The angle can be found using the inverse tangent function.

__

4. The tangent of the angle is the slope of the vector:

  tan(A) = 5/4

  A = arctan(5/4) ≈ 51°

__

5. The first letter named is the starting point of the vector. Vector MN starts at point M and ends at point N. Vector NM starts at N and ends at M. The directions of the two vectors are opposites.

__

6. A ray is like a vector of infinite length. The name of a ray includes a point on the ray. The name of a vector includes both end points. It is of finite length.

_____

Additional comment

A lot of math is invented to describe how things work in the real world. A vector is often used to represent velocity or force and other things that can be described by a magnitude and direction in the real world. A ray is more often used in problems in geometry, where that abstract concept serves a useful purpose.

John has more.

John has $11 while Jan has $10

Answer:

Yes

Step-by-step explanation:

The volume is for example the area of a circle times the height. If you divide the volume of a cylinder by the amount the radius is squared multiplied by pi, to calculate its height.

Yes, there exists a linear relationship between the height and the volume.

A linear relationship is a relationship between the variables in a linear fashion. The relations ships can positive, negative, and neutral. Volume is a scalar quantity that is expressed in three-dimensional space.

Example of volume for the area of a circle is times the height. If we divide the volume of a cylinder by the amount of R it can be squared and multiplied by pi, to find its height.

Find out more information about the volume.

brainly.com/question/21363459

Answer:

3.14 d greater-than 50

(i also need help with one of my questions >~<)

Step-by-step explanation:

Since the circumference of a circle is approximately 3.14 times the length of its diameter, mathematically speaking:

C = 3.14d  

That expression must be greater (>) than 50:

3.14 d > 50

So, the correct option is; 3.14 d greater-than 50

Answer:

I believe this is how you do it

Step-by-step explanation:

csc∅tan∅

(1/sin∅)(sin∅/cos∅)

(sin∅)/(sin∅cos∅)

1/(cos∅)

sec∅

csc²∅tan²∅sin∅

1/(sin²∅) * tan²∅ * sin∅

tan²∅/sin²∅ * sin∅

tan²∅/sin∅

Answer:

33

Step-by-step explanation: