ance
JOURNAL
Define constant of
proportionality in your own
example with your definition.
a specific
words. Provide
Cats
7
9
11
PRACTICE
Analyze each table or problem situation to determine whether the relationship is
proportional. State a constant of proportionality if possible. Show your work.
for your Journal entry.
REMEMBER
If y is proportional to x, you can represent the
relationship by the equation y = kx, where k is the
constant of proportionality.
Dogs
14
21
22
x = 2² and y = 7/1/2
A baby blue whale weighed 5520 pounds at birth. After two days, the baby
weighed 5710. After 14 days, the baby weighed 8180 pounds.
Given a value for the input variable, x, and the output variable, y, calculate the
constant of proportionality.
x=21 and y = 6
bx= 60 and y = 18
x = 4 and y = 3
The constant of proportionality is 190.
The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.
Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality. The ratio of two proportional values at a constant value is known as the constant of proportionality. Two variables are said to be proportionately connected when either their ratio or product equals a constant. The proportionality constant's value is determined by the ratio of the two mentioned quantities. For this relationship, it is conceivable for there to be both direct and inverse variation.To find proportionality constant we will find difference of weights of the baby whale after 2 days and at birth.
5710 - 5520 = 190
Now we will find difference of weights of the whale after 14 days and at birth.
We will divide the difference by 14.
(8180-5520) ÷ 14 = 190
Weights are rising at a consistent rate of 190 pounds every day, as can be seen. As a result, 190 is our proportionality constant.
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Determine whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly
My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.
Choose the correct answer below.
A. The statement is false. In this case, the change in the interest rate was a 240% increase.
B. The statement is false. In this case, the change in the interest rate was a 1.4% increase.
C. The statement is false. In this case, the change in the interest rate was a 140% increase.
D. The statement is false. In this case, the change in the interest rate was a 0.8% increase.
E. The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%
Given statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.' is True.
The correct answer is an option (E) The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%
In this question, we have been given a statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.'
We need to check whether given statement is true or false.
The bank raised its interest rate on savings accounts from 2% to 2.8%
We find the percent increase.
Here the absolute increase is: |2.8 - 2| = 0.8
The relative increase is: absolute increase / original value
= 0.8 / 2
= 0.4
The percent increase is: relative increase × 100
= 0.4 × 100
= 40%
Therefore, given statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.' is True.
The correct answer is an option (E) The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%
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Giving brainliest sdjfhgbawrpighjbqkejqbrg
Answer:
C
Step-by-step explanation:
[tex]-(6^{-5})(6^3) \\ \\ =-6^{-5+3} \\ \\ =-6^{-2} \\ \\ =-\frac{1}{6^2} \\ \\ =\frac{1}{36}[/tex]
ANSWER PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
ok
Step-by-step explanation:
domain = (3,3)
range= (1,1)
funtion=discrete?
A STORY OF RATIOS
скобол раде
Lesson 17: The Unit Rate as the Scale Factor
Name
Exit Ticket
Dat
A rectangular pool in your friend's yard is 150 ft. x 400 ft. Create a scale drawing with a
or an equation to show how you computed the scale drawing lengths.
The scale rectangular of the pool must be 3 x 8 inches.
According to the question,
Given that,
a rectangular pool yard is 150 ft. × 400 ft,
create a scale drawing with a scale factor of 1 to 600, the following calculation must be followed :
[tex]\frac{150}{600} = \frac{1}{4} = 0.25[/tex]
[tex]\frac{400}{600} = \frac{2}{3} = 0.6667[/tex]
1 foot = 12 inches
12 x 0.25 = 3
12 x 0.666 = 8
Then, the scale drawing of the pool must be 3 x 8 inches.
we understand better with the help of some example
“If you are going to build a model, you have to use a scale. You shrink down the real dimensions so that you can actually build a model that everyone will be able to see, think about it, Everest is 29,035 feet high, you can’t build that using the real dimensions,
First, let’s think about our unit scale.
1 inch = 3 feet
If we have a building 24 feet long, that is the actual dimensions. We need to represent the dimensions using our unit scale.
We can say that 8 inches = 24 feet. This is our answer.
First, let’s make a note of the unit scale.
1 inch = 8 feet
We have been given the scale dimension and not the actual dimension. We are going to need to solve for the actual dimension. Let’s write a proportion to do this.
scale dimension actual dimension=1 in8 ft=5 inches
We can see that one times five is equal to five. We can do this to the actual dimension as well. Eight times five is equal to forty.
The actual length of the building is 40 feet.
Popular for ships, especially liners and capital ships. This is the traditional scale for comparative drawings of ships, used by the Royal Navy as it is about one-tenth of a nautical mile to the foot. Warship models produced by produces airliner models in this scale.
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Find the next number in the sequence 2,7,23,49,149,
Answer:
301
Step-by-step explanation:
ill give you brainly and 10 points hurrry please
[tex] \large \bf \implies{} |10.5 - ( - 6.1)| [/tex]
Step-by-step explanation:The total temperature change
= high temperature - low temperature
= |10.5 - (-6.1)|
{By subtraction.}
work out the value of x
. A store has a buy-one-get-one-half-off sale on laundry detergent.
The regular price of the laundry detergent is $2.60 per bottle. You
buy two bottles. What is the total cost, in dollars, before taxes?
The total cost, in dollars, before taxes Addition
When a store has a buy-one-get-one-half-off sale on laundry detergent, then the cost of 2 bottles $3.90.Given that
A store has a buy-one-get-one-half-off sale on laundry detergent.The regular price of the laundry detergent is $2.60 per bottle.we buy two bottles.To find
What is the total cost, in dollars, before taxes?So, according to the question
we have,
The regular price of laundry detergent = $2.60 per bottle.we buy 2 bottles.A store has a buy-one-get-one-half-off sale on laundry detergent, When we buy 1 bottle then we will get half of bottle free and we are buying 2 bottles so we just have to pay the price of one and half bottles only.
So, we can say that
Total cost of 2 bottle laundry detergent = regular price of 1 bottle laundry detergent + regular price of [tex]\frac{1}{2}[/tex] bottle laundry detergent
= 2.60 + [tex]\frac{1}{2}[/tex]× 2.60
= 2.60 + 1.30
= $3.90
Answer:
The cost of 2 bottles laundry detergent in that offer is $3.90 .To learn more about Addition, please click on the link:
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math help please :))))))))))))
Answer: a=8
Step-by-step explanation:
[tex]{\huge\color{green}{\boxed{\fcolorbox{red}{yellow}{꧁ANSWER꧂}}}} \\ \\ 21a + 32 = 25a \\ \\ - 4a = - 32 \\ \\ 4a = 32 \\ \\ a = \frac{32}{4} = 8[/tex]
PLEASE SEE THIS. If a ball is thrown vertically upward with an initial speed of 39 feet per second, its height in feet above the ground t seconds later is given by the formula h = 39t - 16t². At how many seconds will the ball be 10 feet above the ground? Give both answers and round to the nearest hundredth.
Ball will be at 10 feet above the ground for 2.14 or 0.29 seconds .
A quadratic equation is a second-order algebraic equation in x. The quadratic equation in standard form is ax^2 + bx + c = 0. where a and b are the coefficients, x is the variable, and c is the constant term.Quadratic is the easiest way to find the roots of quadratic equations. The two roots of a quadratic expression are represented as one expression. You can get two different roots of the equation by alternating positive and negative signs. The root of the quadratic equation ax^2 + bx + c = 0 is given by [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex] ....(1)
We have given a formula h = 39t - 16t² . ....(2)
Putting h = 10 in equation (2) , we get
[tex]10=39t-16t^2\\16t^2-39t+10=0[/tex]
Using quadratic formula in equation (1) , we get
a = 16 , b = -39 , c = 10
[tex]t=\frac{-(-39) \pm\sqrt{(-39)^2-4(16)(10) }}{2(16)} \\\\t=\frac{39 \pm\sqrt{1521-640 }}{32} \\\\t=\frac{39 \pm\sqrt{881 }}{32} \\\\t=\frac{39 \pm29.68}{32} \\[/tex]
t will have 2 values
[tex]t=\frac{39+29.68}{32} =2.14s[/tex]
and [tex]t=\frac{39-29.68}{32} =0.29s[/tex]
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PLEASE HELP!
Anand is driving on a long road trip. He currently has 10 gallons of gas in hi
car. Each hour that he drives, his car uses up 2 gallons of gas. How much ga
would be in the tank after driving for 2 hours? How much gas would be left
after t hours?
gas left after 2 hours
gas left after t hours
The amount of fuel left after t hours will be y = 10 - 2t. Then the amount of fuel left after 2 hours will be 6 gallons.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Anand is traveling by car a long distance. He has 10 gallons of gas in his automobile right now. His automobile burns through 2 gallons of gas per hour while he is on the road.
Then the equation will be
y = 10 - 2t
Where t is the number of hours and y represents the fuel left in the tank.
The amount of fuel left after 2 hours will be
y = 10 - 2 x 2
y = 10 - 4
y = 6 gallon
The amount of fuel left after 2 hours will be 6 gallons.
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Need the Algebraic expression for a window is 9 feet long. It is x feet longer than it is high.
What is the height of the window?
_______________________Feet
What is the perimeter of the window?
_______________________Feet
The height of the window is 9-x feet, the perimeter of the window is 36-2x.
What is an expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.
What is algebraic expression?Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. The principles of algebra taught us how to express an unknown value using letters like x, y, and z. Here, we refer to these letters as variables.
Given that,
A window is 9 feet long.
Its length exceeds its height by x feet.
The length of the window = 9 feet
Then, the height of the window,
x feet shorter than the length= 9-x feet
As a result, the window is 9-x feet tall.
The perimeter of the window is 2 (l+b)
2 (9+9-x),
2 (18-x),
36 - 2x.
Therefore, the perimeter of the window is 36-2x.
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Verizon charges a $100 initial contract fee, then $70 a month for a basic cell phone plan. What is the slope (rate of change)?
Answer: The slope is $70
Step-by-step explanation: Slope is rate of change, so define your values.
-$100 is the initial fee
-$70 is charged per month
per month is the constant rate of change
70 is the slope
hope this helps
how to turn 1.63 m into cm in dimensional analysis
Answer:
Step-by-step explanation:
1.63 meters = 163 centimeters. Formula
Algebra II Question
John wants to hit homeruns for his baseball team. He wants to be within 5 homeruns of hitting 30 for the year. Write an absolute value equation of the given situation.
He wants to be within 5 homeruns of hitting 30 for the year, therefore he needs 25 home runs.
How to illustrate the information?From the information, it was stated that John wants to hit homeruns for his baseball team and that he wants to be within 5 homeruns of hitting 30 for the year.
Let the number of home runs be represented by x.
Therefore, x + 5 = 30
x = 30 - 5
x = 25
Therefore, since he wants to be within 5 homeruns of hitting 30 for the year, he needs 25 home runs.
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You have a 5-question, true-false quiz. What is the probability that you choose each answer at random and get 4 of the questions correct?
Answer:
1/16
Step-by-step explanation:
you have a 1/2 chance to get the answer right. Each time you add a new answer, you multiply the current chance by the chance of getting the new answer correct. So, the chance of getting 4 answers correct is 1/2^4, or 1/16
Guadalupe is going to a carnival that has games and rides. Each game costs $2.50 and each ride costs $3.75. Guadalupe spent $36.25 altogether on 12 games and rides. Write a system of equations that could be used to determine the number of games Guadalupe played and the number of rides Guadalupe went on. Define the variables that you use to write the system.
System of equations required to determine number of games and rides are x + y=12, 2.50x + 3.75y=36.25 where x represents number of games and y number of rides.
As given,
Let x represents the number of games
and y represents the number of rides
System of equation are:
x+ y=12 ___(1)
2.50x+3.75y=36.25 ___(2)
Multiply 2.50 to (1) subtract from (2) we get,
1.25y=6.25
⇒y=5
Hence, x=12-5
=7
Therefore, system of equations required to determine number of games and rides are x + y=12, 2.50x + 3.75y=36.25 where x represents number of games and y number of rides.
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Give the quotient of the following:
Need solution
1.168 ÷ 8
2.246÷12
3.4328÷4
4.729÷9
5.8415÷5
Division is a simple operation in which a number is divided. 1.168 ÷ 8= 0.146, 2.246÷12= 0.1871, 3.4328÷4=0.8582, 4.729÷9=0.5254 and 5.8415÷5=1.168.
What is Division?Division is a simple operation in which a number is divided.
Division lets us separate a number of objects into equal-size groups.
Division has 3 important parts dividend, divisor, remainder and quotient.
1.168 ÷ 8= 0.146
(Because 0.146*8=1.168)
2.246÷12= 0.1871
(Because 12*0.1871=2.246)
3.4328÷4=0.8582
(Because 4*0.8582=3.4328)
4.729÷9=0.5254
(Because 9*0.5254=4.729)
5.8415÷5=1.168.
(Because 5*1.168=5.8415)
Therefore 1.168 ÷ 8= 0.146, 2.246÷12= 0.1871, 3.4328÷4=0.8582, 4.729÷9=0.5254 and 5.8415÷5=1.168.
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HELP PLEASEE
help is needed
and greatly appreciated
Based on the information provided, we have:
The value of composite function f(g(x)) is equal to: D. 5x - 15.The value of composite function g(f(x)) is equal to: B. 5x - 3.What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.
Given the following functions:
f(x) = 5x
g(x) = x - 3.
Next, we would determine the value of composite function f(g(x)) as follows:
f(g(x)) = f(x - 3)
f(g(x)) = 5(x - 3)
f(g(x)) = 5x - 15.
Also, we would determine the value of composite function g(f(x)) as follows:
g(f(x)) = g(5x)
g(f(x)) = (5x) - 3
g(f(x)) = 5x - 3.
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100 POINTS AND BRAINLIEST ANSWER FAST question in image
Answer:
A) B 20.5 -A s-2.5=-3 is (0.5x)-(-2.5x) = -3x
B) A and B = 2 skydiver's distance each from x = -2.5 and 0.5 inequality shows us when x = 0 then A < -2.5 The second inequality shows us when x = 0 then B2 0.5 here on number line we an keep closed circles and shaded lines in opposite direction each from O showing domain is x domain = -2.5 to O and x domain= 0 to 5 (using commas instead of to) The actual expression then goes B≥0.5-A≤ -2.5=-3 so we an just use (0.5x)-(-2.5x)=-3x
Two functions are graphed on the coordinate plane.
121x
10
8
6
-4
-6-5-4-3-2-12 1 2 3 4 5 6 X
-6
6 9
-8
(g(x)
-10
-12 +
16)
Which represents where f(x) = g(x)?
Of(4) = g(4) and f(0) = g(0)
Of(-4)= g(-4) and f(0) = g(0)
Of(-4)= g(-2) and f(4) = g(4)
Of(0) = g(-4) and f(4) = g(-2)
[tex] \bf \implies{f( - 4) \: = \: g( - 4) \: and \: f(0) = g(0)}[/tex]
Step-by-step explanation:Given : GraphTo Find :When f(x) = g(x)Solution :We can observe from the given graph that the two functions intersect each other at (0,4) and (-4,4)
→ g(0) = f(0)
and g(-4) = f(-4)
a fost răspuns • verificat de expert
Densitatea ghetii este 0.9g/cm³. Ce masa are gheata care pluteste pe o portiune de 10 m² a unui lac stiind ca gheata are grosimea de 5 cm.
what is 1-2-3?? PLEASE HELPPP
ill give brainlist if correct
Answer:
Step-by-step explanation:
2 is 0.00007
3 is 0.000875
1 i cant answer because it hurts my dyslexia
Write each statement as a conditional.
SEE EXAMPLE 1
19. My skin will get wet if I go swimming.
20. A number that is divisible by 6 is divisible by 3.
21. Movie tickets are half-price on Tuesdays.
Each given statement can be written as a conditional statement as follows:
19. If I go swimming, then my skin will get wet.
20. If a number is divisible by 6, then it is divisible by 3.
21. If it is a Tuesday, then the tickets are half-priced.
What is a conditional statement?The phrase "if...then" is used to denote a conditional statement. If p and q are the two statements, then p and q can be written under several conditions, such as;
p implies qp is sufficient for qq is necessary for pGiven the statements:
My skin will get wet if I go swimming.p: My skin will get wet
q: if I go swimming
Here, q is necessary for p.
Hence, the condition statement is "If I go swimming, then my skin will get wet."
A number that is divisible by 6 is divisible by 3.p: a number is divisible by 6
q: a number is divisible by 3
Here, p implies q.
Hence, the condition statement is "If a number is divisible by 6, then it is divisible by 3."
Movie tickets are half-price on Tuesdays.p: movie tickets are half-price
q: it is a Tuesday
Here, q is necessary for p.
Hence, the conditional statement is "If it is a Tuesday, then the tickets are half-priced."
Therefore, each given statement can be written as a conditional statement as follows:
If I go swimming, then my skin will get wet.If a number is divisible by 6, then it is divisible by 3.If it is a Tuesday, then the tickets are half-priced.To learn more about conditional statements, visit:
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Choose the number to fill the blank so that the statement is TRUE. The least common multiple of _____, 12 and 18 is 36
Answer: 6
Step-by-step explanation:
Tristan expects to work an average of 12 hours a week during next semester. Assuming he makes $9.50 an hour and works the entire 17 week semester, what is his forecast for income next year?
Tristan's forecast for income next year is $3,876.
How is the forecast income determined?The forecast income can be determined using the mathematical operation of multiplication.
First, the total number of hours worked next year is determined as 204. This is a product of 17 weeks and a 12-hour week.
Lastly, the above product multiplies the hourly pay rate at $9.50 by two semesters, to determine the expected income for next year.
The average hours of work by Tristan per week = 12 hours
Hourly pay rate = $9.50
The total number of weeks to work = 17 weeks
The total number of hours to be worked = 204 hours (17 x 12)
Expected earnings for each semester = $1,938 ($9.50 x 204)
Expected earnings for two semester = $3,876 ($1,938 x 2)
Thus, Tristan should expect to earn $3,876 for next year.
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Suppose a jar contains 12 red marbles and 31 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.
Assuming an hypergeometric distribution, the probability that both are red is equal to 33.99%
In an hypergeometric distribution, these three (3) conditions listed below must hold:
There must be two (2) classes, in which one class is considered as failure (N - M) while the other is success (M). Also, N represents the total number of items in the two (2) classes.There must be n trial or n chosen items.The probability of success isn't fixed for each trial.In Mathematics, probability from an hypergeometric distribution can be calculated by using this formula:
[tex]p(X = x) = \frac{^MC_x \;^{N-M}C_{n-x}}{^NC_n}[/tex]
N = 12 + 31 = 43
n = 2
M = 12
N - M = 43 - 12 = 31
Substituting the parameters into the formula, we have;
P (X = 2) = (¹²C₂ × ³¹C₂)/⁴³C₂
P (X = 2) = 30,690/903
P (X = 2) = 33.99%
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Determine the gear ratio for a bike with 45 front teeth and 18 rear sprocket teeth
Answer:
So, gear ratio will be \frac{45}{18}= \frac{5}{2}=2.5
18
45
=
2
5
=2.5
Hence, the ratio is 2.5 :1.
Greg is putting money into a saving account. He starts with $450 in the saving account and each week adds 30
Write an equation relating to s & w
Answer:
Hope This Helps
Step-by-step explanation:
S=450 + 30W
Plugging 14 into W, we get: S= 450 +30(14)= $870.