The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit.
What are the slope and y-intercept of the line that models this situation? I
Answers
The slope and the y-intercept of the given data table will be option A) Slope= -0.0018, y-intercept = 212
The y-intercept of any linear equation is the point at which the line or the curve intersects the vertical i.e the Y- axis.
To find this intercept, the value of x is taken to be 0 in the model, since on the Y-axis, the value of x is 0.
Here from the given table, we need to check the boiling point or the value of Y for which the value of the altitude or the x value is 0
Hence we get the y-intercept as 212° F.
Now, the formula for slope
= change in y/ change in x
here we will take any two data rows and divide the difference in boiling points by the difference in altitudes.
Taking the first 2 rows gives us
Slope = -0.9/500
= -0.0018
Hence we choose option A) Slope = -0.0018, y-intercept = 212
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Complete Question
The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y-intercept of the line that models this situation?
A. Slope= -0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018
Related Questions
i need hlep with this q
Answers
The slope of the line is 40 if the points are joined.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
given:
Take two points from the graph as (2, 80) and (4, 160)
Then, the slope of line is
slope, m = ( 160- 80) / ( 4- 2)
slope, m = 80 /2
slope , m = 40
Hence, the slope is 40.
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During January 2012, 50 000 new vehicles were sold in Ontario. About 20% of these were leased. How many vehicles were leased?
Answers
Answer:
10,000 vehicles.
Step-by-step explanation:
20 percent of 50,000 is 10,000.
A principal randomly chose 40 students from grade 7. Of these students, 9 were wearing watches. Based on this information, what is the most reasonable prediction of the number of students wearing watches in a group of 480 students from grade 7?
F 180
G 12
H 360
J 108
Answers
Answer:
108
Step-by-step explanation:
480 is 12 times more then 40 therefore 108 is 12 times 9 so it's the answer
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
sin w = 15/17
Step-by-step explanation:
sin w = opp/hyp
opp of W is VX = 15
hyp is the longest = 17
sin w = 15/17
=========================================================
Explanation:
A drawing may help. See the image below.
Angle X is the 90 degree angle, so angles W and W are the acute angles of right triangle VWX.
The reference angle here is W. Since this is the reference angle, the side opposite angle W is VX = 15. We simply call this "opposite".
The hypotenuse is always opposite the 90 degree angle. This is true no matter what acute reference angle you pick. Since X = 90, this makes WV = 17 the opposite side. Also, the hypotenuse is always the longest side.
The sine of an angle is the ratio of the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(W) = VX/WV
sin(W) = 15/17
Side note: The side XW = 8 isn't used at all. If you wanted to compute cos(W) or tan(W), then you would use side XW.
Find the surface area of the pyramid. Correct answer will be marked brainliest!!!!
Answers
Answer:
178.3 mm²
Explanation:
The surface area of the regular pyramid is equal to the sum of the base and lateral areas:()
lines a and b are parallel. which angles is congruent to angle? 4
Answers
Answer:
ANGLE 5 IS CONGURENT TO ANGLE 4
PLEASE MARK BRAINLIEST
a man left 1/2 of his money to his first son 3/8 to his second son, the rest 80,000 to his third son.how much did he he leave to his second son
Answers
As per the given conditions in the question, the amount of money that the second son was left with by the man is 2,40,000.
How do you add two fractions with different denominators?To add two fractions with different denominators, you must first find a common denominator. A common denominator is a number that is divisible by both denominators of the fractions. Once you have a common denominator, you can add the numerators of the fractions together and place the sum over the common denominator. Then simplify the fraction if possible.
What is the reciprocal of a fraction?The reciprocal of a fraction is another fraction whose numerator and denominator are flipped. For example, the reciprocal of the fraction 2/3 is 3/2. The product of a fraction and its reciprocal is always equal to 1. To find the reciprocal of a fraction, simply swap the numerator and denominator.
Considering the conditions given in the question,let us suppose that the third son was left with x part of the money,
so we can use the equation,
part of money left for fist son + part of money left for second son + part of money left for third son = total part of money
or, 1/2 + 3/8 + x = 1
therefore, x = 1/8
Also we know that the third son was left 80,000 ,
so 1/8 of total money = 80,000
therefore, total money = 80000 * 8 =6,40,000
Now the amount left for the second son is , 3/8 of total money
which is equal to , 3/8 of 6,40,000 = 2,40,000
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put this equation in Slope-Intercept form
Y + 2 = -5 ( X + 3 )
Answers
Answer: y=-5x-17
Step-by-step explanation:
Slope-intercept form follows the formula y-mx+b, where m is slope and b is y-intercept. All we have to do is to manipulate the equation to look like y=mx+b.
[tex]y+2=-5(x+3)[/tex] [distribute right side]
[tex]y+2=-5x-15[/tex] [subtract both sides by 2]
[tex]y=-5x-17[/tex]
Now, our equation matches y=mx+b with m=-5 and b=-17.
The diameter of a circle is 14 meters. What is the circle's circumference?
Answers
C = dπ
C = 14(3.14)
C = 43.96 m
Answer:
43.96 m.
Step-by-step explanation:
The formula for circumference is: πd (diameter).
According to the word problem, the diameter is 12.
**3.14 IS A SUBSTITUTE FOR PI**
3.14 × 12 = 43.96
Therefore, 43.96 meters is the circumference of this circle.
What is the value of 5 + 5.3^4?
810
410
O65
120
Answers
Therefore , the solution of the given problem of expression comes out to be 794.0481.
Describe expression.combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.
• 3 x/2 variable is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.
Here,
Given : 5 + [tex](5.3)^{4}[/tex]
=> 5 + (5.3)*(5.3)*(5.3)*(5.3)
=> 789.0481 + 5
=> 794.0481
Therefore , the solution of the given problem of expression comes out to be 794.0481.
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what is 629 divided by 8
Answers
Answer:
78.625
Step-by-step explanation:
629 / 8 = 78.625
Answer:
629/8=78.625
OR
[tex]\frac{629}{8}=78\frac{5}{8}[/tex]
WILL MARK BRANLIEST
Question 2 of 5 | Page 2 of
Question 2 (1 point)
The table shows the depth of water in a pond as it is being filled.
What is the average rate of change, in meters per minute, of the depth of the
water in the pond, between t = 2 and t = 5? Round your answer to the nearest
hundredth.
Answers
Answer:
0.47metres per minute
Step-by-step explanation:
you would minus t 5 from 3 which would be 1.34- 0.87 which equals 0.47
Which expression is equivalent to 4 - 10 (9m – 7:)
0-3 - 90m
O 42 – 54m
O 74 - 90m
O-7 - 54m
Answers
The correct choice will be 74 - 90m
Question
Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each customer buys 2 items.
Let c represent the number of additional customers Joshua must have to meet his goal.
Drag and drop the answer into the box to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Joshua needs to have more than Response area additional customers to meet his goal.
Answers
Joshua will need 7 additional customers.
How to determine the number of customers he needs?
The parameters that will help us to determine the number of customers is give as follows:
Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each customer buys 2 items.
Since Joshua's goal is to sell more than 20 items at a farmers' market and he has sold 6 items. and If each of his customers buys 2 items, the number of additional customers needed will be:
= (20 - 6) / 2
This is given as 14 / 2
The the number of customers needed = 7
In conclusion He will need 7 additional customers.
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If Mr. Brust can bambam 8 jamjams in 12 whamwhams, the how many jamjams can he bambamin 33 whamwhams? (Yes, I know this is weird)
Answers
Answer: 22 jamjams in 33 whamwhams
Step-by-step explanation:
33 ÷ 12 = 2.75 = 12 x 2.75 = 33
2.75 x 8 = 22
Answer:
Mr. Brust can bambam 22 jamjams in 33 whamwhams.
Step-by-step explanation:
Mr. Brust can bambam 8 jamjams in 12 whamwhams.
Mr. Brust can bambam x jamjams in 33 whamwhams.
Use a proportion.
8/x = 12/33
12x = 8 × 33
x = 8 × 33/12
x = 12
Answer:
Mr. Brust can bambam 22 jamjams in 33 whamwhams.
what's the equation of a line in slope-intercept form of a line that has a slope of -6 and contains (3,-4)
HELP ME PLEASE!!!!!!
Answers
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 6}(x-\stackrel{x_1}{3}) \implies y +4= -6 (x -3) \\\\\\ y+4=-6x+18\implies {\Large \begin{array}{llll} y=-6x+14 \end{array}}[/tex]
Where is the x-intercept in a quadratic formula?
Answers
The x-intercept in a quadratic formula is where the graph of the function crosses the x-axis.
An x-intercept is a point on the graph of a function where the y-coordinate is equal to zero. In other words, it's a point on the graph where the function intersects the x-axis. The x-intercepts of a quadratic formula can be found by setting the y-value equal to zero and solving for x.
The quadratic formula is typically in the form of ax^2 + bx + c =0, thus by setting y=0 we get x = -b/2a and x = -b/2a, these are the x-intercepts where the graph of the function will cross the x-axis. The x-intercepts are also known as the roots or zeroes of the function, and are important for understanding the overall shape of the graph.
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What is the radius and diameter of the following circle?
Answers
Answer:
Diamter is 14 and radius is 7
Step-by-step explanation:
May I have barinliest answer please?
A university just acquired more land which is shown by the triangle in the diagram. What is the area of the land that the university just aquired?
Answers
Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Area = length x breadth.
Here,
Given : A triangle land which has
height = 2miles
and base = 1.5+ 1.5 = 3 miles
Thus,
To find the area of triangle :
=> Area = 1/2*b*h
=>Area = 3*2/2
=> Area = 3 miles square
Therefore , the solution of the given problem of area comes out to be the land acquired by university is of 3 miles square area.
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True or false? The graph represents a function.
Answers
Answer:
true :)
Step-by-step explanation:
This year, there was 40% more snow than last year. The amount of snow this year is 140% of the amount of snow last year.
1. This year, there were 25% fewer sunny days than last year. The number of sunny days this year is (BLANK)% of the number of sunny days last year.
2. Compared to last month, there was a 50% increase in the number of houses sold this month. The number of houses sold this month is (BLANK)% of the number of houses sold last month.
3. The runner’s time to complete the marathon was 10% less than the time to complete the last marathon. The runner's time to complete the marathon was (BLANK)% of the time to complete the last marathon.
PLEASE FILL IN THE BLANKS. This is in fact the full question
Answers
Answer:
75%150%90%Step-by-step explanation:
You want the percentage multiplier associated with the following changes:
25% decrease50% increase10% decreaseMultiplierTo find the multiplier, add 1 to the change. When you want the multiplier in percent, then add 100% to the change expressed as a percent. (1 = 100%)
1. 25% fewer100% -25% = 75% . . . . of last year
2. 50% increase100% +50% = 150% . . . . of sales last month
3. 10% less100% -10% = 90% . . . . of last marathon's time
How long will it take an investment to double at 8% annual Interest? (Assume the interest rate is compounded continuously)
Answers
Answer:
8.66 years
Step-by-step explanation:
F = Pe^(rt)
2 = e^(0.08t)
ln 2 = ln [e^(0.08t)]
ln 2 = 0.08t
t = (ln 2)/0.08
t = 8.66
Answer: 8.66 years
What would the approximate amperage setting be if a welder were set to the high range (150 to 350 amps) and the fine adjustment knob were painting at 5 on a 10 point scale
Answers
On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.
What is range?The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.
here,
the approximate amperage setting be if a welder were set to the high range would be 350 amps
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find asymptotes for y=x^3 + 3^x
Answers
Answer:
No asymptotes
Step-by-step explanation:
The equation provided does not have any asymptotes. Neither for the y-axis or x-axis. It instead goes towards infinity endlessly. Meanining that there is no value that is equal to zero in this equation. The graph below shows the equation graphed, but could not be zoomed out because the equation is endless.
Derrick cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 51 inches.
Answers
Answer:
17 inches
Step-by-step explanation:
Given
[tex]P = 51[/tex] --- Perimeter of rectangle
Required
The length of the original square
The perimeter is calculated as
[tex]51 = 2(L + W)[/tex]
Divide by 2
[tex]25.5 = L + W[/tex]
The rectangle and the square have the same length.
So:
[tex]L = 2W[/tex]
[tex]25.5 = L + W[/tex] becomes
[tex]25.5 = 2W + W[/tex]
[tex]25.5 = 3W[/tex]
Divide both sides by 3
[tex]W = 8.5[/tex]
Recall that:
[tex]L = 2W[/tex]
[tex]L = 2 * 8.5[/tex]
[tex]L = 17[/tex]
1. r-h=rh
make r the subject and show the steps plz
2. V= pir^2h
make r the subject and show the steps plz
Answers
Answer:
1. N/A
2. √V/pi*h= r
Step-by-step explanation:
1. when you try to get r on one side, the r's cancel out
2. V/pi*h= r^2
√V/pi*h= r
7.4 1; 2; 4; 7; 11; 16; 22;
Describe this pattern:
Answers
Answer:
minus 3 plus 1 plus 2 plus 3 plus 5
Step-by-step explanation:
Evelyn gave a $3 tip to the person delivering her $15 pizza. What percent of the cost of the pizza was the tip that she paid?
Answers
4cm multiplies 3 whole 1/2
Answers
I want to know why D is the correct answer
Answers
Answer:
Cause it is
Step-by-step explanation:
ya know?
Answer:
It's B
Step-by-step explanation:
To find the surface area of a pyramid, you'll multiply L*W*H/3
810 divided by 3 is 405