Answer:
The answer is below
Step-by-step explanation:
A linear function is a function in the form y = mx + b, where y and x are variables, b is the y intercept (value of y at x = 0) and m is the slope (rate of change).
Let x represent the year and y represent the amount of rainfall in inches. The linear function can be gotten by selecting any two pair of points from the table in the form (x, y).
Let us use the points (2004, 62.33) and (2007, 60.74). The equation is gotten using:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-62.33=\frac{60.74-62.33}{2007-2004}(x-2004) \\\\y-62.33=-0.53(x-2004)\\\\y-62.33=-0.53x+1062.12\\\\y=-0.53x+1124.45[/tex]
The graph is plotted using geogebra.
The average rainfall from 2004 to 2013 is 59.945
Given data of rainfall:
2004 62.33
2005 61.8
2006 61.27
2007 60.74
2008 60.21
2009 59.68
2010 59.15
2011 58.62
2012 58.09
2013 57.56
what is the average value?it is the sum of all the observations divided by the total number of observations.
average rainfall A
(62.33+61.8+61.27+60.74+60.21+59.68+59.15+58.62+58.09+57.56)/10
A= 59.945
thus, the average rainfall from 2004 to 2013 is 59.945
to get more about the average visit:
https://brainly.com/question/20118982
Which of the following represents the solution to the equation 4x - 2 = 10?
Answer:
the top option
Step-by-step explanation:
solve 4x - 2 = 10 and you get
4x = 12
x = 3
this means there is only one solution and only 3 should be filled in
There is a rope running from the top of a flagpole to a hook in the ground. The flagpole is 21
feet high, and the hook is 20 feet from its base. How long is the rope?
Can someone help me please
Answer:
-15
Step-by-step explanation:
Please help 16 points due tomorrow
Answer:
1) 26.1% increase
2) 20% decrease
Work:
1)
-subtract the larger # from the smaller # to figure out what the change was.
[tex]8.8 - 6.5 = 2.3[/tex]
-divide 2.3 by the orriginal ammount (8.8) to find your answer as a decimal
[tex]2.3 \div 8.8 = 0.261[/tex]
-take 0.261 and multiply it by 100 to have your answer as a percent
[tex]0.2614 \times 100 = 26.1[/tex]
-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease
2)
-subtract the larger # from the smaller # to figure out what the change was.
[tex]15 - 12 = 3[/tex]
-divide 2.3 by the orriginal ammount (15) to find your answer as a decimal
[tex]3 \div 15 = 0.2[/tex]
-take 0.2 and multiply it by 100 to have your answer as a percent
[tex]0.2 \times 100 = 20[/tex]
-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease
divide round and nearest hundredths place 4.05 / 0.07
Answer:
divide round and nearest hundredths place 4.05 / 0.07 the answer would be:
57.86
Np.
In function for every input there is exactly one output
Answer:
It should be true, because without an output or input it would be an alien device that doesn't need any energy to work, making it true, also i dont really know if its true
PLEASE I NEED HELP URGENTLY
A long-distance phone company charges $4.95 month plus an additional $.10 per minute. a. Define a variable and write a formula to find the total cost per month for long-distance service. b. Use this formula to find the long-distance charges for 120 minutes of calls in one month.
Answer:
4.95+0.10x=120
Step-by-step explanation:
Hope this helps
43% of businesses in the US require a doctors note when an employee takes sick time. You randomly select nine businesses and ask if it requires a doctors note when an employee takes sick time. Find the probability that the number who say they require a doctors note is at least 5
Answer:
Step-by-step explanation:
Hihihihojohihij
ABCD is a rectangle. What is the value of x? А 56 m 65 m A. 9 meters B. 28 meters C. 33 meters D. 65 meters
Arlinda is participating in her school reading
challenge. She reads 40 books in 6 months. If 26
of the books are fiction, then what percent of the
books that she read are non-fiction?
Answer:
14
Step-by-step explanation:
40-26=14 so therefore 14% of the books are non-fiction
Similar triangles find the value of X
Answer:
x=2
Step-by-step explanation:
Set up a ratio
6/(x+1)=10/(2x+1)
cross multiply
6(2x+1)=10(x+1)
12x+6=10x+10
12x-10x=10-6
2x=4
x=2
6) Find the quotient
x^2+16x+63=0 enter the solutions from least to greatest
Find the change in temperature if the temperature rises -18⁰f to 15⁰f
Pls help quickly!!!!!!!!!!!!!!!
Answer:
hmm. I would say right.
Step-by-step explanation:
The angle when you flip your triangle is 90 degrees.
I need helppppp with this please
i need help with that tooooo
(a) The perimeter of a rectangular garden is 314 m.
If the length of the garden is 85 m, what is its width?
(b) The area of a rectangular window is 4800 cm
2
If the width of the window is 64 cm, what is its length?
Answer:72 for the garden and 75 for the window
Step-by-step explanation:
the side length of the following right isosceles triangle is 10 cm. if the area of a equals the area of b, then what is the area of the circle which the sector aef is in?
Find the value of x
?????
Answer:
2x+57°+x=180 ( angle sum property of triangle)
3x=123
x=41
evaluate the following surds √2+√5
Answer:
The answer of the addition is;
√2+√5
Step-by-step explanation:
Here, we want to evaluate the given sure
Basically, we want to add the two surds together
In the case of this question, since they have nothing in common, the addition of both will give the same results
Thus;
√2+√5 = √2+√5
2. What does ST TU mean? Why is
this true?
Answer:
STTU either means Specialized Tactical Training Unit or Surrounding Thyroid Tissue Uptake
Step-by-step explanation:
ST and TU are typically used to measure a line and/or angle in a triangle or shape. This is true because I've seen it multiple times.
May I have brainliest please? :)
3. Which equation illustrates the associative
property of addition?
A. (x + y) + 3 = x + (y + 3)
B. 3(x + y) = 3x + 3y
C. x + y = y + x
D. x + 0 = x
Answer: C. x + y = y + x
Step-by-step explanation:
Answer:
A. (x + y) + 3 = x + (y + 3)
Step-by-step explanation-
The associative property of addition allows the numbers grouped within the parenthesis to be switched with the other numbers in the equation to make the problem easier to solve.
Hope this helped!
An item is regularly priced at $15. Kala bought it on sale for 75% off the regular price find out how much Kalla paid
Answer:
$11.25
Step-by-step explanation:
you take 75% of 15
Answer:
11.25
Step-by-step explanation:
because I used a calculator
plzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
9x square -12x+4 is the answer.
Step-by-step explanation:
Apply the a+b whole square formula. a square + 2ab + b square
9x square -12x+4 is the answer.
C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
3. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
D) I and II only
Step-by-step explanation:
I need help does someone know this?!
Rearranging formula
18
4 friends weigh themselves. Bert is 20kg heavier then Arlo. Cassie is 5 kg lighter then Bert and Donnie is half of Berts weight. If their average weight is 57kg how much does Arlo weigh?
Answer:
Arlo's weight = 52.3 kg
Explanation:
Let Arlo be "x"
Then,
Arlo = x
Bert = x+20 (Because Bert is 20 heavier than Arlo)
Cassie = x+20-5 (Because Cassie is 5 lighter than Bert)
Donnie = [tex]\frac{x+20}{2}[/tex] (Because Donnie is half of Bert's weight)
Average = 57
Step by step Calculations:
57 = [tex]\frac{(x) + (x+20) + (x+20-5) + (\frac{x+20}{2} )}{4}[/tex] (The whole divided by 4 because the total people is 4)
57*4 = x + x + 20 + x + 20 - 5 + [tex]\frac{x+20}{2}[/tex]
228 = 3x + 35 + [tex]\frac{x+20}{2}[/tex]
228 - 3x - 35 = [tex]\frac{x+20}{2}[/tex]
193 -3x = [tex]\frac{x+20}{2}[/tex]
2(193 - 3x) = x + 20
386 - 6x = x + 20
386 - 20 = x + 6x
366 = 7x
x = [tex]\frac{366}{7}[/tex]
x = 52.3 kg (corrected to 3 significant figures)
Therefore Arlo's weight is 52.3 kg
You are kayaking at a pace of 63 feet every 12 seconds. Your friend's pace is 21 feet every 2 seconds. Are you and your friend kayaking at the same pace? If not, who is faster?
Answer:
Your friend is kayaking faster.
Step-by-step explanation:
The way to approach this answer is by putting one of them in terms of the other. So that both are in terms of the same time. If you kayak 63 feet in 12 seconds how many feet do you kayak in 2 seconds? Simply divide by 6. 63/6 = 12/6. So, in 2 seconds (12/2) you kayak 10.5 feet (63/6). But your friend kayaks 21 feet in the same time... so he's going faster.
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
JB who weighs 50 kg sits 3 feet from the fulcrum. How far from the fulcrum must JP sit in order to
balance with JB if he weighs 35 kg?
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is
reading.
A. write the variation equation
B. If he can read 21 pages in 14 minutes, how many pages can he read in 21 minutes?
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to
its volume.
A. Write the variation equation.
B. What will happen to the pressure if the volume is reduced to half and the temperature is
doubled?
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
pasagot naman mga prii
Answer:
1) 43/10
3) p = kt/v
4) C
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
[tex]\rm d\times w = constant[/tex]
JB who weighs 50 kg sits 3 feet from the fulcrum.
Distance of JP from the fulcrum in order to balance with JB if he weighs 35 kg?
[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]
So JP must sit at a distance of about 4.28 feet from the fulcrum
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is reading.
A. write the variation equation
let the number of pages read by Ethan be p
let the number of hours he is reading be h
According to the given situation
[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]
B . According to the given condition
[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]
hence the constant of proportionality c = 1.5
So let us consider he reads p' pages in 21 minutes
[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to its volume.
A. Write the variation equation.
Let P = Pressure , V = Volume and T = Temperature
The equation is
[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]
B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?
Since the temperature is doubled and volume is halved so putting 2T and and volume V/2 in equation (3.1) we get
[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]
So the values of new pressure become 4 times the value.
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
It seems that Question 4 has an ambiguity since the equation y = k ma
does not signifies any of the option
For more information please refer to the link given below
https://brainly.com/question/17948320
PLEASE HELP ME! Suppose $800 can be invested either at 5% simple interest per annum or at 5% interest per annum, compounded annually. Using two tables of values and a single graph, compare the amounts for each type of interest after each year for the first five years. Be sure to show all the calculations used to obtain your answers. Also, provide explanations to clarify the information presented in the tables and in the graph.
Answer:
uh someone please help!!
Step-by-step explanation: