During a period of time a reservoir is drained for 2 hours per day 3 times per week. Each time 12 gallons per minute are drained. What integer represents the change in the number of gallons drained from the reservoir each week?
Answer:
The integer representing the change is -43,200 gallons
Step-by-step explanation:
Here, we want to get the integer that represents the change in the number of gallons drained from the reservoir each week
Total number of hours per week would be 2 * 3 = 6 hours ;
6 hours is same as 6 * 60 = 3600 minutes
in a minute 12 gallons are drained
In 3600 minutes, the number of gallons drained would be;
3600 * 12 = 43,200 gallons are drained
find the slope and the y-intercept of the line.
Answer:
Slope m = 6
y-intercept b = -5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Slope-Intercept Form] y = 6x - 5
Step 2: Break Function
Identify Parts
Slope m = 6
y-intercept b = -5
Answer:
[tex]slope:6\\y-intercept:-5[/tex]
Step-by-step explanation:
Given the line:
[tex]y=6x-5[/tex]
We can first refresh our memory with slope-intercept form:
[tex]y=mx+b[/tex]
In slope-intercept form:
[tex]m=slope\\b=y-intercept[/tex]
With that information, using the given equation for the line, we can conclude that:
[tex]m=6[/tex]
[tex]b=-5[/tex]
Rudgolf goes to a store looking to buy comic books and CDs. Comic books cost 15 each and cds cost 10
Answer:
what to find the sum of Rs or
Answer:
If Rodgolf buys 3 comic books and 4 CDS, he payed a total of 85 dollars
Step-by-step explanation:
(wait but where is the question) Also 15 dollars or cents?
3*15= 45
4* 10= 40
45+40= 85
The whole number 24 is equivalent to
Answer:
24/1 please mark as brainliest
based on the information in the table wich of these key features is incorrect
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below. Which of the following statements about f(x) and g(x) is true? Select all that apply.
1. The slope of f(x) is smaller than the slope of g(x)
2. The lines represented by f(x) and g(x) are parallel.
3. The line represented by f(x) crosses the x-axis to the right of the line represented by g(x).
4. The y-intercept of f(x) is smaller than the y-intercept of g(x).
5. The values of f(x) and g(x) are the same at x = 3
Answer:
4. 5. 3. are correct im pretty sure
Step-by-step explanation:
Statements 1, 2, and 3 about f(x) and g(x) are "true".
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.
x : 1 3 5 7 9
g(x): 3 7 11 15 19
Here the slope of the function g(x) is 2.
This means statements 1 and 2 are false because slopes are different.
To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.
Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.
The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.
To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.
Therefore, the true statements are 2, 3, and 4.
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I’m confused on how to answer this question
Answer:
i can do A for u
Step-by-step explanation:
the seed is one variable and the place where it was planted is another
Brandy only has $23 in cash to spend on drinks, and the concession stand charges $3.75
for a drink. If x represents the number of drinks purchased, and y is the amount of money
spent on drinks, what is the range in this situation?
Answer:
{0, 3.75, 7.5, 11.25, 15, 18.75, 22.5}
Step-by-step explanation:
Since the values in this function cannot go on infinitely this is a discrete funciton.
Its basically asking how much he can spend on drinks with 23$ if they are each 3.75$, this means that he can buy at most 6 drinks. Imagine a disctrete graph with a point on every value he spends per drink, (0,0) (1 , 3.75) (2 , 7.5) etc.
As our bright fellow shadow188 has stated, y is the range or the output so you list the possible outputs for the range in bracets.
I hope you found this helpful, ik its a little late.
The required range will be $3.75 ≤ y ≤ $23 for the function.
Given that,
Brandy only has $23 in cash to spend on drinks, and the concession stand charges $3.75 for a drink.
x represents the number of drinks purchased, and y is the amount of money spent on drinks, what is the range in this situation is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Let the x be the cost of the drink and y be the total amount of money spent,
Since there are concession stand charges of $3.75 also.
So the minimum charge will be $3.75 whether bought the drink or not, and Brandy has $23 to spend on drinks so the maximum will be $23.
So, the range can be given as $3.75 ≤ y ≤ $23.
Thus, the required range will be $3.75 ≤ y ≤ $23 for the function.
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farmer john started with some umpts on his farm after 7 weeks he had 91 after 15 weeks he had 139
find the rate of change and the starting amount
Answer:
13
Step-by-step explanation:
Complete the ratio table.
9 1
18 2
27 3
36
45 5
Answer:
9:1, 18:2, 27:3, 36:4, 45:5 or 1,2,3,4,5
Step-by-step explanation:
This is the answer because:
1) We can see that eah ratio is being multiplied with the next number. We can say this because 9 x 2 = 18 and 1 x 2 = 2 which is 18:2 just like that 9 x 3 = 27 and 1 x 3 = 3 which makes the ratio 27:3.
2) If we keep on doing this, 9 x 4 = 36 and 1 x 4 = 4 which makes the ratio 36:4.
Therefore, the answer is 4.
Hope this helps! :D
help help help help help help help help help
Answer:
x=3√5
Step-by-step explanation:
This is a right angle triangle
So the equation is
2²+x²=7²
x=√7²-2²
x=3√5
Answer:
x=3√5
Step-by-step explanation:
help solve this for me i need it ASAP. please send pic in detailed info.
Answer:
yes
Step-by-step explanation:
y = 5x - 30
if this is wrong just lmk and ill fix it
hope this helps <3
Can you please help me!? Explain and show work, please!
Answer:
no solution
Step-by-step explanation:
Determine whether the relation is
a function.
{(-6,3),(2,2),(6,2),(3,7)}
Answer:
Since there is one value of y{(-6,3),(2,2),(6,2),(3,7)}for every value of x in , this relation is a function.The relation is a function.
Step-by-step explanation:
Hope that help like and please give me brainiest.Aslo add me.
A restuarant bill before tax is $63.50, if the sales tax is 7% and a 18% tip was added what is the total cost of the meal
Answer:
$79.375
Step-by-step explanation:
Given that:
Bill before tax = $63.50
Tax = 7%
Tip added = 18%
Hence,
Tax = 7% of bill before tax
Tax amount = 0.07 * 63.50
Tax amount = $4.445
Tip amount = 0.18 * 63.50
Tip amount = $11.43
Total meal cost :
Before tax cost + tax amount + tip amount
$(63.50 + 4.445 + 11.43) = $79.375
HELP PLZ! SERIOUS ANSWERS ONLY THO!
You are going to design an advertisement for a new polynomial identity that you are going to invent. Your goal for this activity is to demonstrate the proof of your polynomial identity through an algebraic proof and a numerical proof in an engaging way! Make it so the whole world wants to purchase your polynomial identity and can't imagine living without it!
You may do this by making a flier, a newspaper or magazine advertisement, making an infomercial video or audio recording, or designing a visual presentation for investors through a flowchart or PowerPoint.
You must:
Label and display your new polynomial identity
Prove that it is true through an algebraic proof, identifying each step
Demonstrate that your polynomial identity works on numerical relationships
Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when different binomials or trinomials are combined. Square one factor from column A and add it to one factor from column B to develop your own identity.
Column A Column B
(x − y) (x2 + 2xy + y2)
(x + y) (x2 − 2xy + y2)
(y + x) (ax + b)
(y − x) (cy + d)
I need help with this equation. I'm not that smart so I can't figure it out-
Answer:
x = 0
Step-by-step explanation:
In order to solve for x, first combine both fractions on the left
To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4
It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:
8x+24/32
Multiply 4x-2/8 by 4, you will get:
16x-8/32
Now you can add 16x-8/32 + 8x+24/32, you would get:
24x+16/32
Now you can start to solve for x
Your new equation is 24x+16/32 = 1/2
To solve for x, first multiply diagonally, then solve like a regular equation.
Multiply 24x+16 by 2 to get 48x+32
Then multiply 32 by 1 to get 32
Your new equation is 48x+32=32
Now subtract 32 by 32 to get 48x=0
Now divide 48 by 0 to get x=0
please help i give 20 points and possibly brainliest to the right answer
Answer:
g(x): horizontal compression
h(x): vertical stretch
p(x): vertical compression
w(x): horizontal stretch
Step-by-step explanation:
g(x): horizontal compression
h(x): vertical stretch
p(x): vertical compression
w(x): horizontal stretch
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.
Which city gets more rain and how much more?
A: Miami gets 0.78 more inches of rain.
B:Tampa gets 5.13 more inches of rain.
C: Miami gets 6.12 more inches of rain.
D: Miami gets 5.35 more inches of rain
Miami gets 6.12 more inches of rain.
What is mean by Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68
While it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.
Hence, For Miami;
= 1.61 + 2.24 + 2.99 + 3.15 + 5.35 +9.68
= 25.02
For Tampa;
= 2.24 + 2.8 + 3.03 + 2.05 + 2.09 + 6.69
= 18.90
Thus, Find difference as;
= 25.02 - 18.90
= 6.12
Therefore, Miami gets 6.12 more inches of rain.
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The prices of different types of nuts are shown in the table.
Type of Nut Price per Pound
Almonds $9.15
Cashews $10.75
Peanuts $3.95
Mila buys 1.4 pounds of almonds, 0.8 pound of cashews, and 2.6 pounds of peanuts.
How much does Mila spend in all?
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
The answer is 3,4 what is the question
Answer:
What is the x and y coordinate of (3,4)
What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?
Answer:
A. [tex]\displaystyle y = -\frac{1}{2} x -4[/tex]
Step-by-step explanation:
Equation of a Line
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where:
(h,k) is a point through which the line passes.
The line we are looking for has a slope defined for the fact that is perpendicular to the line shown in the graph.
Two perpendicular lines with slopes m1 and m2 satisfy the equation:
[tex]m_1m_2=-1[/tex]
We'll find the slope m1 of the given line and then solve the above equation for m2:
[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]
The line of the graph passes through two clear points (-3,-3) and (0,3). Let's calculate the slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m_1=\frac{3+3}{0+3}=\frac{6}{3}=2[/tex]
Now we calculate the second slope:
[tex]\displaystyle m_2=-\frac{1}{2}[/tex]
We use the point-slope form, given the point (6,-7):
[tex]\displaystyle y + 7 = -\frac{1}{2} ( x - 6 )[/tex]
Operating the parentheses:
[tex]\displaystyle y + 7 = -\frac{1}{2} x +\frac{1}{2}\cdot 6 )[/tex]
Simplifying:
[tex]\displaystyle y = -\frac{1}{2} x +3-7[/tex]
A. [tex]\mathbf{\displaystyle y = -\frac{1}{2} x -4}[/tex]
will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
x=15
Step-by-step explanation:
What is f(−1) for the function given? f(x)=x2−3x+8
Answer:
12
Step-by-step explanation:
I am assuming you are asking for f(x)=x^2-3x+8? You plug (-1) in for all portions of x. This means you get (-1)^2-3(-1)+8. (-1)^2 is simply 1 because -1 x -1=1. 3*-1 is -3. This makes the equation 1 - (-3) + 8. The middle section simplifies down to +3 making it 1+3+8, or 12.
Solve in PEMDAS:
3 + [2 + 3 X (6 X 3)]
9. Which of these relations is a function?
Answer:
the answer is b
Step-by-step explanation:
Which of the following functions best describes this graph?
A. y = x^2 - 8x +18
B. y = (x+4)(x+5)
C. y = x^2 -9x +20
D. y = (x-3)(x+4)
Answer:
C
Step-by-step explanation:
Looking at the graph, we can see the roots at two points
these are points x = 4 and x = 5
This can be written in their linear forms as;
x-4 and x-5
Finding the products of both, we have
x(x-5) -4(x-5)
= x^2 -5x -4x + 20
= x^2 - 9x + 20
A video club costs $25 to join. Each video that is rented costs $2.50. Let v represent the
number of videos. Identify the independent and dependent variables. Then, write a rule
in function notation for the situation.
Answer:
Independent: videos rented; Dependent: total cost; f(v) = 2.5v + 25
Step-by-step explanation:
plz mark as brainliest i tryed my best im sure its right
11. In the diagrams below the rows of green tiles are surrounded by white tiles
Find a formula for the number of white tiles which would be needed to
surround a row of n green tiles.
Hii please help!!! Show work
Step-by-step explanation:
There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.
Common difference = (16-12)/(5-3) = 2.
Hence number of white tiles = 2n + 6.
Given vectors u = 3, 4, and y=(4,3), what is the measure of the angle between the vectors?
0°
16.39
163.7°
Undefined
Answer:
b on edge, 16.3
Step-by-step explanation:
trust
The angle between the two given vectors is 16.26°
How to find the angle between two vectors?
Here we have the vectors u = (3, 4) and y = (4, 3).
We know that:
u*y = |u|*|y|*cos(θ)
Then:
u*y = 3*4 + 4*3 = 24
And:
|u| = √(3^2 + 4^2) = √25 = 5 = |y|
Then we have:
24 = 5*5*cos(θ)
24/25 = cos(θ)
To find theta, we apply the inverse cosine function in both sides:
Acos(24/25) = θ = 16.26°
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