At an aunt's wedding , Nicolas collected data about an ice sculpture that was about to completely melt . A graph of his data is shown at right . a . Write an equation for a line of best fit . What are the units for the slope and y-intercept in the equation ? b Based on your equation , how tall was the ice sculpture one hour before Nicolas started measuring ?
Answers
Answer:
Step-by-step explanation:
From the scatter plot given in the attachment,
a). Line of best fit will pass through two points (0, 10) and (4, 0)
Let the equation of the line is,
y = mx + b
m = slope of the line
b = y-intercept
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{10-0}{0-4}[/tex]
m = -2.5 inches per hour
y-intercept = 10 inches
Therefore, equation of the line will be, y = -2.5x + 10
b). Since, Nicolas started measuring the height of the ice sculpture at x = 0
One hour before the start of the observations means x = (0 - 1) = -1
From the given equation,
y = -2.5(-1) + 10
= 2.5 + 10
= 12.5 inch
Related Questions
PLEASE ANSWER FAST ITS FOR A BIG TEST!!! Find an expression which represents the difference when (−6x+5) is subtracted from (−x−8) in simplest terms. ILL GIVE BRAINLIEST
Answers
Answer:
5x-13
Step-by-step explanation:
How many lines of symmetry are in this snowflake design?
5
Answers
BS UDJD9AYW VS DHS EG EE S WCWVW W S FHRD DJE EHVEBE EBE
What is the solution of the system of equations?
Help
Answers
Answer:
(0, 5)
Step-by-step explanation:
Emily used 27 centimeters of tape to wrap 3 presents. How much tape will Emily need in all if she has to wrap 5 presents? Assume the relationship is directly proportional.
? centimeters
Answers
Answer: 45 centimeters
Step-by-step explanation:
27 - 3
divide both by 3
9 - 1
multiply by 5
45 - 5
Answer:
45 Centimeters.
Step-by-step explanation:
27 / 3 = 9
9 x 5 = 45
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces? 1280 plus 16 p equals 32 q 1280 plus 32 q equals 16 p 32 q minus 16 p equals 1280 16 p plus 32 q equals 1280
Answers
Answer:
16 p plus 32 q equals 1280
16p + 32q = 1,280
Step-by-step explanation:
A pint = 16 ounces
A quart = 32 ounces
p = number of pints he canned
q = number of quarts he canned
if Chin canned a total of 1,280 ounces?
Total ounces canned = 1,280
Equation:
p × 16 ounces + q × 32 ounces = 1,280
16p + 32q = 1,280
The options:
1280 plus 16 p equals 32 q
1,280 + 16p = 32q
1280 plus 32 q equals 16 p
1,280 + 32q = 16p
32 q minus 16 p equals 1280
32q - 16p = 1,280
16 p plus 32 q equals 1280
16p + 32q = 1,280
The correct answer is
16 p plus 32 q equals 1280
16p + 32q = 1,280
Answer:
16p+32q=1280
Step-by-step explanation:
edge
A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can't quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita? |x – 42.80| = 12
Answers
Answer:
|x - 42.80| = 12
Step-by-step explanation:
The absolute value |x - a| = b means either x - a = b or x - a = -b
Let x represent the amount of money in the afternoon after he has either paid her back or she has paid him.
Given that he has $42.80 in his wallet and he either borrowed $12 from his friend Rita or she borrowed $12 from him. Therefore:
x = 42.80 + 12; or x = 42.80 - 12
Hence:
x - 42.80 = 12; or x - 42.80 = -12
|x - 42.80| = 12
Autumn spent $32 of the $50 in her wallet. Which decimal represents the fraction of the $50 Autumn spent? please answer soon it's midnight and i need sleep
Answers
Answer:
0.64, she spent 64% of her money.
Step-by-step explanation:
Rewrite the function by completing the square.
g(x)= x^2-x-6
g(x)- __(x+__)^2+___
Thanks :)
Answers
Step-by-step explanation:
g(x) = x²- x - 6g(x) = x²- 2*1*1/2x + (1/2)² - (1/2)²-6g(x) = (x - 1/2)² - 6 1/4org(x) = (x - 1/2)² - 25/4Answer:
[tex]g(x) = 1 (x+ -\frac{1}{2} )^{2} + -\frac{25}{4}[/tex]
The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubic meters per minute. At the instant when the radius of the cone is 99 meters and the volume is 180 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V= 3 1 πr 2 h. Round your answer to three decimal places.
Answers
Answer:
The rate of change of the height is 0.021 meters per minute
Step-by-step explanation:
From the formula
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
Differentiate the equation with respect to time t, such that
[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]
To differentiate the product,
Let r² = u, so that
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]
Then, using product rule
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]
Since [tex]u = r^{2}[/tex]
Then, [tex]\frac{du}{dr} = 2r[/tex]
Using the Chain's rule
[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]
∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]
Then,
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
Now,
From the question
[tex]\frac{dr}{dt} = 7 m/min[/tex]
[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]
At the instant when [tex]r = 99 m[/tex]
and [tex]V = 180 m^{3}[/tex]
We will determine the value of h, using
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]
[tex]180 \times 3 = 9801\pi h[/tex]
[tex]h =\frac{540}{9801\pi }[/tex]
[tex]h =\frac{20}{363\pi }[/tex]
Now, Putting the parameters into the equation
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]
[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]
[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]
[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]
[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]
[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]
[tex]\frac{dh}{dt} = 0.021 m/min[/tex]
Hence, the rate of change of the height is 0.021 meters per minute.
Billy is making a sign in the shape of a regular octagon. What is the measure of each interior angle of the sign?
O 45°
O 60°
O 120°
O 135°
Answers
Answer:
135°
Step-by-step explanation:
Interior angle= (n-2)/n ×180°
n= no. of sides
so,
putting the value of n which is 8
(8-6)/8 × 180
=135°
The measure of each interior angle of the sign is 135 degrees.
The correct option is D.
What is an interior angle?Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."
In a regular octagon, all the interior angles are equal.
The formula to find the measure of each interior angle of a regular polygon with n sides is:
measure of each interior angle = (n-2) x 180 / n
For an octagon, n = 8, so we can substitute this value into the formula and simplify:
measure of each interior angle = (8-2) x 180 / 8
measure of each interior angle = 6 x 180 / 8
the measure of each interior angle = 135 degrees
Therefore, the measure of each interior angle = 135 degrees.
To learn more about the interior angles;
brainly.com/question/10638383
#SPJ7
1. Solve the system of equations.
2y - 3z=0
x+3y = -4
3x + 4y = 3
Answers
Answer:
1. y = 3/2z
Step-by-step explanation:
1. ,2y-3z + 3z =0 + 3z ,2y=3z, 2y/2 =3z/2=3/2z
On a road map, the distance between 2 cities is 2.5 inches. The map scale is 1 inch:30 miles. What is the actual distance between the cities?
Answers
Answer:
75
Step-by-step explanation: 2 times 30 is 60 30 divide by .5 is eqaul to 15 becasue it is half
and 60+15=75
Answer:
75 is the anwer
Plz help convert and show work plz!
1) 60 miles per hour to feet per second
2) 2.40 Euros per kilogram to dollars per pound (1 euro =
o = $1.42)
Answers
Answer:
1) 5280 feet/sec
2)$3.41
Step-by-step explanation:
60 miles is 316800 feet, divided by 60 which is 5280 feet/sec
2)2.4x1.42 is 3.41
[WORTH 100 WHOLE POINTS] !!
I need it soon!!
Answers
2. 3/5
3. i do not understand
4. 1/2 (even chance)
Answer:
1. 1/5 2. 3/5 4. 1/2 I dont know what 3 is
Step-by-step explanation:
Why are the solutions to the proportions StartFraction 40 over 8 EndFraction = StartFraction x over 10 EndFraction and StartFraction x over 40 EndFraction = StartFraction 10 over 8 EndFraction the same?
Answers
Answer:Because both result in the equation 8x = 400 which simplifies to 50.
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
no need
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 333 chaperones for a field trip with 242424 students.
Answers
Answer: See explanation
Step-by-step explanation:
Here is the complete question:
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers.
A. Students: 72
Minimum of chaperones: 9
B. Students: 16
Minimum of chaperones: 2
C. Students: 60
Minimum of chaperones: 6
D. Students: 45
Minimum of chaperones: 5
E. Students: 40
Minimum of chaperones: 8
Since the museum requires a minimum of 3 chaperones for a field trip with 24 students. This means that there will be 24/3 = 8 students per chaperone.
We then divide the number of students given in the question by the number of chaperone to know our answers. This. Will be:
Students: 72
Minimum of chaperones: 9
This will be: 72/9 = 8
Therefore, this is correct.
B. Students: 16
Minimum of chaperones: 2
This will be: 16/2 = 8
This is correct
C. Students: 60
Minimum of chaperones: 6
This will be: = 60/6 = 10.
Therefore, this is wrong
D. Students: 45
Minimum of chaperones: 5
This will be 45/5 = 9
Therefore, this is wrong.
E. Students: 40
Minimum of chaperones: 8
This will be: 40/5 = 8.
Therefore, this is wrong.
Therefore, options A and B are correct.
What is the domian of the following represented by ordered pairs?
{(3, 7), (-5, 1), (2, 4), (-3, 6)}
Answers
Answer:
The Domain are 3,-5,2,-3
Step-by-step explanation:
hope that helps
Answer:
The domain is (3, -5, 2, -3
Step-by-step explanation:
Plz give brainlyest
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
7
Step-by-step explanation:
Pythagorean Theorem:
25^2=24^2+x
625=576+x^2
49=x^2
x=sqrt49
x=7
Hope this helps!
Merry Christmas!
Answer:
By using the Pythagorean theorem we can solve this
The Pythagorean theorem states that [tex]c^2=a^2+b^2[/tex] where c is the hypotenuse (longest side of the right triangle) and a and b are the other 2 sides. LEts use x to represent the missing side
Therefore,
[tex]25^2=24^2+x^2[/tex]
[tex]625=576+x^2[/tex]
[tex]625-576=576-576+x^2[/tex]
[tex]49=x^2[/tex]
[tex]x=7[/tex]
Step-by-step explanation:
Which solution set is graphed on the number line?
4 -3 -2 -1
0 1
2
3
4
0x21
Ox>1
Ox<1
O XS1
Answers
Which pair of triangles MUST be similar?
A. Triangle 5 has a 25 degree angle and a 75 degree angle. Triangle 6 has a 25 degree angle and a 70 degree angle.
B. Triangles 1 and 2 each have a 40 degree angle.
C. Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.
D.Triangles 3 and 4 are both scalene. Each have a 65 degree angle.
Answers
Answer:
C
Step-by-step explanation:
The total measurement of a triangle is 180
Triangle 7 has a 40 degree angle and 35 degree angle.
40+35=75
180-75=105
Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8
Maine has a cold climate in the winter. Which statement about the probability of temperatures falling below 32F in Maine during the month of January is most likely true? Options: The probability is 100 | The probability is closer to 1 than to 0. The probability cannot be determined before Febuary The probability could be -1.
Answers
Answer:
can't help u..
Step-by-step explanation:
i am so sorry
xbxnxnxn
xnzjznzn
sjziaowoo1i3uo
PLZ MARK ME AS BRAINLIST
How to find the constant of y=3/5x
Answers
Answer:
3/5
Step-by-step explanation:
y=3/5x = 0 x both sides by 5
5y-3x=0 reorder terms (community property)
-3x+5y=0
3x-5y=0 changes the signs when you do that
1. Solve each equation. a. 4x = -28 b. x - -6 = -2 C.-Y + 4 = -9 d. -3x + 7 = 1 e 25% -11 = -86
Answers
Answer:
A,-7
B, 4
C,13
D,2
Step-by-step explanation:
A,Step 1: Divide both sides by 4.
[tex] \frac{4x}{4} = \frac{ - 28}{4} [/tex]
[tex] x = - 7[/tex]
B,Step 1: Add 6 to both sides.
x−6+6=−2+6
x = 4
C, Step 1: Regroup terms.
4−Y=−9
Step 2: Subtract 44 from both sides.
-Y=-9-4−Y=−9−4
Step 3:Simplify -9-4−9−4 to -13−13.
[tex] \frac{ - y}{1} = \frac{ - 13}{ - 1} [/tex]
Y = 13
D,Subtract 77 from both sides.
-3x=1-7−3x=1−7
2, Simplify 1-71−7 to -6−6.
-3x=-6−3x=−6
3,Divide both sides by −3.
[tex] x = \frac{ - 6}{ - 3} [/tex]
4,Two negatives make a positive.
x = 6/3
x = 2.
I don't understand Question E!
I hope it helps you!
mark brainliset pls answer
Answers
Answer:
I'm pretty sure it's 18 square units
Step-by-step explanation:
Hope this helps!
Answer:
18 square units or option B
Step-by-step explanation:
Find area of whole rectangle: 6x4 or 24 sq inches.
3 by 2 triangles = 6. 24-6 is 18.
Hope this helps plz hit the crown :D
PLEASE HELP WILL GIVE BRAINLEST
Answers
=√40 = 6.32455 ≈ 6.3
Answer: B ) 6.3
There is a sale at your favorite clothing store. They have their jeans priced at $49.99 with a extra 20% off. How much will you pay for three pairs of jeans, not including tax? Exlpain how you got your answer.
Answers
Answer: You need to pay $119.98 for three pairs of jeans.
Step-by-step explanation:
Market price of 1 jeans = $49.99
Discount percent = 20% = 0.20
Market price for 3 jeans = 3 x ($49.99)
= $ 149.97
Discount price = 20% of (Market price for 3 jeans )
= .0.20 x ($149.97)
= $ 29.99
Price of 3 jeans after discount = (Market price for 3 jeans ) - ( Discount price)
= $ (149.97 - 29.99)
= $ 119.98
Hence, you need to pay $119.98 for three pairs of jeans.
You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.
Answers
Answer:
5,000
Step-by-step explanation:
no interest♀️
Please help asap- will give brainliest:
See the image attached and choose ONE
Answers
What is the perimeter of △JKL? 6 9.5 11.5 19
Answers
Answer:
the awnser is 19
Step-by-step explanation:
i got it correct on edge2020
Please answer asap take ur time
Maya is going to an amusement park. The price of admission into the park is
$10, and once she is inside the park, she will have to pay $2 for every ride she
rides on. How much money would Maya have to pay in total if she goes on 15
rides? How much would she have to pay if she goes on r rides?