1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gayaneshka [121]
3 years ago
13

The number of gallons of water,y, in a swimming pool is modeled by the equation y=7.5x+500,where x represents the time in minute

s after the pump is turned on. How many gallons of water are in the pool if the pump is on for 200 minutes.
Mathematics
1 answer:
podryga [215]3 years ago
5 0
Y = 7.5*200 +500
y = 1500 +500
y = 2000

2000 gallons are in the pool 200 minutes after the pump is turned on.
You might be interested in
How to work vector algebra
erica [24]

Vectors and vector addition:

A scalar is a quantity like mass or temperature that only has a magnitude. On the other had, a vector is a mathematical object that has magnitude and direction. A line of given length and pointing along a given direction, such as an arrow, is the typical representation of a vector. Typical notation to designate a vector is a boldfaced character, a character with and arrow on it, or a character with a line under it (i.e., ). The magnitude of a vector is its length and is normally denoted by or A.  Addition of two vectors is accomplished by laying the vectors head to tail in sequence to create a triangle such as is shown in the figure.  The following rules apply in vector algebra.where P and Q are vectors and a is a scalar. 

Unit vectors:

A unit vector is a vector of unit length. A unit vector is sometimes denoted by replacing the arrow on a vector with a "^" or just adding a "^" on a boldfaced character (i.e., ). Therefore, Any vector can be made into a unit vector by dividing it by its length. Any vector can be fully represented by providing its magnitude and a unit vector along its direction.

Base vectors and vector components:

Base vectors are a set of vectors selected as a base to represent all other vectors. The idea is to construct each vector from the addition of vectors along the base directions. For example, the vector in the figure can be written as the sum of the three vectors u1, u2, and u3, each along the direction of one of the base vectors e1, e2, and e3, so that Each one of the vectors u1, u2, and u3 is parallel to one of the base vectors and can be written as scalar multiple of that base. Let u1, u2, and u3 denote these scalar multipliers such that one has<span> </span><span>The original vector</span><span> </span><span>u</span><span> </span><span>can now be written as </span><span>The scalar multipliers</span><span> </span><span>u</span><span>1</span><span>,</span><span> </span><span>u</span><span>2</span><span>, and</span><span> </span><span>u</span><span>3</span><span> </span><span>are known as the components of</span><span> </span><span>u</span><span> </span><span>in the base described by the base vectors</span><span> </span><span>e</span><span>1</span><span>,</span><span> </span><span>e</span><span>2</span><span>, and</span><span> </span><span>e</span><span>3</span><span>. If the base vectors are unit vectors, then the components represent the lengths, respectively, of the three vectors</span><span> </span><span>u</span><span>1</span><span>,</span><span> </span><span>u</span><span>2</span><span>, and</span><span> </span><span>u</span><span>3</span><span>. If the base vectors are unit vectors and are mutually orthogonal, then the base is known as an orthonormal, Euclidean, or Cartesian base.</span>

 

A vector can be resolved along any two directions in a plane containing it. The figure shows how the parallelogram rule is used to construct vectors a and b that add up to c. <span>In three dimensions, a vector can be resolved along any three non-coplanar lines. The figure shows how a vector can be resolved along the three directions by first finding a vector in the plane of two of the directions and then resolving this new vector along the two directions in the plane. </span><span>When vectors are represented in terms of base vectors and components, addition of two vectors results in the addition of the components of the vectors.</span>

8 0
3 years ago
Read 2 more answers
What is the solution of the equation?<br><br> 35√(x+2)3+3=27
Arte-miy333 [17]

Use this rule: <em>(x^a)^b = x^ab</em>

3(x + 2)^3/5 + 2 = 27

Subtract 3 from both sides

3(x + 2)^3/5 = 27 - 3

Simplify 27 - 3 to 24

3(x + 2)^3/5 = 24

Divide both sides by 3

(x + 2)^3/5 = 24/3

Simplify 24/3 to 8

(x + 2)^3/5 = 8

Take the cube root of both sides

x + 2 = 3/5√8

Invert and multiply

x + 2 = 8^5/3

Calculate

x + 2 = 2^5

Simplify 2^5 to 32

x + 2 = 32

Subtract 2 from both sides

x = 32 - 2

Simplify 32 - 3 to 30

<u>x = 30</u>

4 0
3 years ago
A trapezoid has a height of 6 inches, an area of 120 square inches, and one base measuring 13 inches. Find the length of the oth
kirill [66]

Answer:

27

Step-by-step explanation:

Givens

b1 = 13

b2 = ?

h = 6

Area = 120

Formula

Area = (b1 + b2) * h/2         Multiply by 2

2Area = (b1 + b2)*h           Divide by h

2Area/h = b1 + b2              Subtract b1 from both sides

2Area/h - b1 = b2

Solution

2*120 / 6 - 13 = b2

40 - 13 = b2

b2 = 27

It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.

6 0
3 years ago
Six hikers shared 4 1/2 lbs of trail mix. How much trail mix did each hiker receive?
babunello [35]
6 hikers = 4.5 lbs of trail mix

4.5 divided by 6= .75 lbs each hiker.
3 0
3 years ago
Read 2 more answers
Josh has $72 in his bank account, and earns $7 each
iris [78.8K]

Answer:

week 5 and 107 dollars

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • What is 2/9 turned into a decimal?
    6·2 answers
  • Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the g
    11·1 answer
  • What are the binomial factors of the expression below? x^2+5x-6
    11·1 answer
  • The coordinate plane represents a map. Each grid unit represents 20 miles. A retail company has a warehouse at N(40, 60). A stor
    5·1 answer
  • How do I solve −6 + 9(8 − 2b) using distributive property or combining like terms.
    8·1 answer
  • The base of a parallelogram is four times its height. If the area of the parallelogram is 324 cm2, find the base and height.
    13·1 answer
  • If 2(x - 5) + 3(x - 5) = 10, what is the value of x - 5?
    5·2 answers
  • What is the domain of the function ?<br> Pls help ASAPPPP<br> 35 points!!
    11·1 answer
  • Name the property shown by each statement:
    5·2 answers
  • Melanie moved to Toledo on September 14 and returned home for a visit fifteen months later. When did she return home?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!