Answer:
The constant proportionally of the graph is:
k = 8Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
here 'k' is called the constant of proportionality.
From the graph, it is clear that:
at x = 0.5, the value of y = 4
so substituting x = 0.5 and y = 4 in the equation
k = y/x
k = 4/0.5
k = 8
at x = 1, the value of y = 8
so substituting x = 1 and y = 8 in the equation
k = y/x
k = 8/1
k = 8
Therefore, the constant proportionally of the graph is:
k = 8The Celsius scale is devised so that 0° C is the freezing point of water (at 1 atmosphere of pressure) and 100°C is the boiling point of water (at 1 atmosphere of pressure). If you are more familiar with the Fahrenheit scale, then you know that water freezes at 32°F and boils at 212° F. The linear equation that relates temperature r measured in degrees Celsius and temperature y measured in degrees Fahrenheit is
Answer:
[tex]r=\frac{5}{9}(y-32)[/tex]
Step-by-step explanation:
The Celsius scale was developed by Swedish astronomer Andres Celsius in 1742. It is used to measure temperature in degree Celsius in which 0 degrees represents the freezing point of water, and 100 degrees represents boiling point of water at the standard atmosphere.
The Fahrenheit scale was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It is used to measure temperature in degree Fahrenheit in which 32°F represents the freezing point of water, and 212°F represents boiling point of water at the standard atmosphere.
Let r represent the temperature in degrees Celsius and y represent the temperature in degree Fahrenheit. The relationship between r and y is:
[tex]\frac{r-freezing\ point(^oC)}{boiling\ point\ (^oC)-freezing\ point(^oC)} =\frac{y-freezing\ point(^oF)}{boiling\ point\ (^oF)-freezing\ point(^oF)} \\\\Substituting:\\\\\frac{r-0}{100-0}=\frac{y-32}{212-32}\\\\\frac{r}{100} =\frac{y-32}{180}\\\\r= \frac{y-32}{180}*100\\\\r=\frac{5}{9}(y-32)[/tex]
Please help don’t understand
Answer:
first you choose one of the varibles to solve for so im going to start with s you would add them up and subtract them that way there on the other side of the = sighs so you equation would be 8+2d+3=-7s then you add the 8 and the 3 and you would get 11+2d=-7s i dont know what you do after this i think this is the answer.
Answer:
the other guy is right trust him
Mr. Santor cuts 1/2 of a piece of construction paper. He uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answer:
1/12
Step-by-step explanation:
1/2 multiplied by 1/6 equals 1/12
PETS Each month Travis spends $20 for premium food$10 for treats $18 for grooming, and $3 for toys for his pet. Write an expression that could be used to determine the amount he spends on these items for his pet over a period of 12 months.
Answer:
$492 per year
Step-by-step explanation:
The first step we take towards solving this question is to add all the numbers we were given as money spent(excluding that of the month)
$20 + $10 + $18 + $3 = $41 per month
This means that a total of $41 was spent per month.
Going further, since we're told it's 12 months, we then multiply it by 12, and thus, we have
$41 * 12 = $492 per year
Therefore, the total money spent is $492 per 12 months, or per year
7/8 divided by 1/16 in simplest form?
Answer:
14
Step-by-step explanation:
Keep, change, flip!
7/8 / 1/16
7/8 x 1/16
7/8 x 16/1
Equals...
112/8
Which can be simplified to...
14!
Hope this helped!
Answer:
14
Step-by-step explanation:
(7/8)/(1/16) = 7/8 × 16/1
7 × 16/8 = 7 × 2 = 14
Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.
How many cupcakes does the supermarket get?
Which expressions are solutions to the equation 3/4x=15
Answer:
3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20
Simplify the expression.
- 2.6f +0.2f - 15 - 3
i need help with this, anyone?
Answer: -2.4f-18
Step-by-step explanation:
Add 0.2f to -2.6f then subtract 3 from -15
Jane has 6 more than twice the number of pairs of shoes that Mary has.
Write an expression for this. Use s as your variable for the shoes.
Answer:
im not sure
Step-by-step explanation:
Delaney wants to start saving money to buy a 3-D printer. If she needs to save at least $300.00 to pay for it and has decided to save $15.00 per week from doing chores around the house. Which inequality can be used to find how many weeks will it be before she can purchase the 3-D printer?
15x\geq 30015x≥300
\frac{x}{300} \geq 15
300
x
≥15
15x \leq 30015x≤300
\frac{x}{300} \leq 15
300
x
≤15
Answer:
20 weeks
Step-by-step explanation:
30/15=2
300/15=20
20 weeks
A particle traveled a distance of 9.0×1012 meters at a rate of 1.8×105 meters per second. If distance = rate x time, how many seconds did it take the particle to travel the specified distance?
Answer:it took the particle 50,000,000 seconds to travel the specified distance
Step-by-step explanation:
Given that distance = Rate x time
Distance traveled by Particle= 9.0×10^12 meters
and rate= 1.8×105 meters per second
Time taken for particle to travel the specified distance using our equation that
distance = Rate x time
time = Distance / Rate
=9.0×10^12 meters/ 1.8×105 meters per second
=50,000,000 seconds
R the midpoint of overline OP and overline QR perpendicular to OP In the diagram below. 20 in. 26 in. Q Find the length of QR .
Answer:
24
Step-by-step explanation:
HELP MIDDLE SCHOOL QUESTION
pls awnser asap plplplplplplplplplplplplp
Answer:
14/6
Step-by-step explanation:
imma look what dis is
Answer:
its loading but ill help!
Step-by-step explanation:
Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use
Answer:
The kind of hypothesis testing we can use is z-test for means
Step-by-step explanation:
Given that;
sample mean x" = 500
standard deviation σ = 100
sample size n = 6
What kind of hypothesis testing do we use?
There are two cases where z-test can be use;
first, when we know the population standard deviation or variance
and secondly, when the population size is more than 30.
So from the question, the population standard deviation was given, which is 100.
Since we know the S.D, it meets the first condition.
Therefore, The kind of hypothesis testing we can use is z-test for means
I need help
are all intergers a closed or open whoel number when subtracting or adding them together
Answer:
Integers are always closed under subtraction, addition and multiplication, not division though. Hope this helped! :D
Step-by-step explanation:
WILL MARK BRAINLY!
Which inequality is true?
1-100 < 50
--50 100
1-100 > 50
4-50 > -100
the third one, you have written not clearly
bwhwhsbsh hsbsvs bw wjw wjw whe
Rewrite using a single positive exponent.
(7^2)^-7
Answer:
Step-by-step explanation:
we have to remember the power rules, power raised to the power-we use the multiplication
(7^2)^-7=7^-14= 1/7^14
Researchers for the National Institute of Child Health and Human Development studied 208 infants whose brains were temporarily deprived of oxygen as a result of complications at birth. These babies were subjects in an experiment to determine if reducing body temperature for three days after birth improved their chances of surviving without brain damage. What is the population
Answer: All infants
Step-by-step explanation:
In statistics,
Population is a term that is used to represent the largest group sharing similar charcteristic from the researcher's point of view.
A sample is a subset of the population.
Here, a sample is collected of infants which were subjects for the study.
Objective of study: To check if reducing body temperature for 3 days after birth improved their chances of surviving without brain damage.
Here, the population of interest is "All infants".
Who is the protagonist?
A. the magician
b. Aladdin
c. the princess
D. the tailor
Answer:
it is a) the magician
Step-by-step explanation:
comment if its wrong mark me brainlest if it is right
Explain whether the following statement is true or false. The function notation f-1(x) means 1/f(x)
Answer:
True
Step-by-step explanation:
f-1(x) otherwise known as the inverse of f(x) is the mathematical equivalent as 1/f(x).
Being inverse simply means that it "reverses" the operation that was applied to it with the original function .
For example: suppose f(x) = x+1, then if x = 1, f(1) = 1+1 =2
Now if we do f-1(x) or 1/f(x), then 1/f(1) = 1/1 +1 = 1/2
So, 2/1 is in fact the inverse of 1/2.
Hence, f-1(x) is the same as 1/f(x)
y=5, 12+4y= what is the answer
Answer:
x2
Step-by-step explanation:
x2 82
Answer: 32
Step-by-step explanation: since y=5, 4y= 20. 12+20=32
Given the equation y
- x+1
The x intercept is:
The y intercept is:
Answer:
−x+y+1
Step-by-step explanation:
What is the inverse function of f(x) = x
what is 24 divided by 18
Answer:
1 1/3
Step-by-step explanation:
or 1.33333333333333333333333333333333333333333333
Find the length of segment FH.
Answer:
20
Step-by-step explanation:
what is 42-22?
it is 20. Next time, use a calculator or get your additon and normal calulations really good.
The graph of a linear function is shown on the grid . What is the slope of the line
A) -10
B) -3/2
C) -2/3
D) 2
The slope of the equation is 2. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of 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.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The graph of a linear function is shown on the grid.
From the graph, the points are (-2.5, 0) and (0, 5) and the y-intercept is 5. The slope of the line is given as,
m = (5 - 0) / (0 + 2.5)
m = 5 / 2.5
m = 2
The slope of the equation is 2. Then the correct option is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
The missing graph is attached below.
Find the vertex of the parabola defined by the following equation. 3x^2-12x+11
Answer:
y= 3(x-2)^2-1
Step-by-step explanation:
Find the perimeter of the following shape: