Ramona's lemonade pitcher holds 32 ounces of lemonade, but it has a crack and leaks lemonade at a rate of 3 ounces per minute.
What is the rate of change and what does it represent for the situation?
Answers
Answer:
Step-by-step explanation:
The rate of change of the situation is known as the slope:
Slope = Δy/Δx
Slope = y2-y1/x2-x1
From the graph, x2 = 10.5, x1 = 0. y2 = 32, y1 = 0
Slope = 32-0/10.5-0
Slope = 32/10.5
Slope = 3.047
Hence the rate of change is 3.047 ounces per minutes and the situation represents the slope of the graph.
Related Questions
Sports companies cover the surface of a soccer ball with waterproof spray to prevent it from getting water logged. The radius of a soccer ball is 11cm. The formula to calculate Surface Area of a ball is SA = 4πr2 S A = 4 π r 2 . How much surface do they need to cover with the spray?
Answers
Answer:
310.73cm^2Step-by-step explanation:
The expression for the total surface area is
SA=4πr^2
given that r=11cm
we want to substitute the value of r to solve for the area
SA=4πr^2
SA=4*3.142*(11)^2
SA=2.568*11^2
SA=2.568*121
SA=310.728
Therefore they need to cover a surface of 310.73cm^2
The quotient of a number and twelve is the sum of eight and the number.
Answer: n/12=8+n
Answers
Answer:
Step-by-step explanation:
12(n/12 = 8 + n)
n = 96 + 12n
-11n = 96
n = -96/11
Answer:
-96/11 or -8 8/11
Step-by-step explanation:
For this, create an equation, x/12=x+8.
Any number without a denominator has a denominator of 1, so x/12=(x+8)/1.
Now, cross multiply to get 1*x=12(x+8).
Simplify that to x=12x+96.
Subtract 12x from both sides, and you have -11x=96.
Divide by -11, and x=-96/11.
Help me doing this plzzz
Answers
Answer:
4x³+8x²-x-2=4x².(x+2)-(x+2)=(4x²-1).(x+2)=(2x-1).(2x+1).(x+2)
FUNCTIONS: Solve each of the functions below for x = 3
f (x) = 5x2 + 3x
g(x)=- 2x + 7
h(x) = x
Answers
G(x)=1
H(x)= 3
Put in order from least to greatest 65, 34, -50, 28, -64, -45
Answers
Step-by-step explanation:
#1 -64
#2 -50
#3 -45
#4 28
#5 34
#65
What is the value of x?
70°
12x + 14
Answers
Answer:
[tex] \frac{14 }{3} [/tex]
Step-by-step explanation:
12x=70-14=56
x=
[tex] \frac{56}{12} = \frac{14}{3} [/tex]
Emily studied people in her school and determined that 75 out of 100 people in her grade could roll their tongues. If there are 1,200 people in
her neighborhood, predict how many of them can roll their tongues.
people
PLEASE ANSWER IMMEDIATELY ITS FOR AN IMPORTANT PAPER THATS DUE SOON !
Answers
Answer:
I believe the answer is 900.
The scale factor to dilate from rectangle A to rectangle B is ?
Answers
Answer:
c
Step-by-step explanation:
Round 685,135 to the nearest ten thousand.
Answers
Answer:
690,000
Step-by-step explanation:
The 8 is the ten thousands place- 685,135
If the number after the 8, (in this case 5) is 0-4, round to 8. If the number after the 8 is 5-9, round up to 9.
least to greatest!!! it’s important
Answers
Can you help, Solve for x. -2 + 3x = 2х + 6 +
X
Answers
Answer:
trick question
Step-by-step explanation:
The equation cannot be answered since if you add like terms you have 3 x on each side but different total values
Asap plzz i need it in at least in 10 min
Answers
Answer:
Step-by-step explanation:
if 12x= 4(x+5), x equals...
distribute the 4 to the x and
12x = 4x + 20
subtract the 4x on both sides
8x = 20
divide by 8
x = 20/8
simplify
x = 5/2
5/2 = 2.5 so the answer is D
I’m not sure how to do this I’m post the picture below please help!!!
Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Mathematics, this is called as function inside another function, just we have replace the condition of x here,
1)g(f(4)) = here, f(4) = 4-7= -3
so now, g(-3) = (-3)^2 =9
g(f(4)) = 9
2) f(g(4)) = 16-7 = 9
f(g(4))= 9
3) g(f(-1)) = 64
4) f(g(-1)) = -6
done.
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the slope of the line above?
A. - 2/3
B. - 3/2
C. 2/3
D. 3/2
Answers
Answer:
b
Step-by-step explanation:
Answer: -3/2
Good luck
Look at pictures help please 11 points
Answers
Answer:
negative 70 (-70)
Step-by-step explanation:
below sea level, so below zero, would be -70
Answer:
-70
Step-by-step explanation:
Its below it would be in the negatives
if a number line starts at 0, and there are 10 ticks before the 400, how much is one tick worth?!?! help!!!
Answers
Answer:
40
Step-by-step explanation:
400÷10=40
It says my answer needs to be 20 characters long so I'm writing this.
Estimate 8,633 x 57,008
Answers
Answer: 492150064
Step-by-step explanation:
Answer:
Step-by-step explanation:
Round 8633 to 9000
Round 57008 to 57000
Multiply 9 by 57 and place the six zeros beside your answer
9×57= 513
9000×57000= 513000000
What is the difference between the highest and lowest number?
3.2, 3.03, .976, 2.9, 1.5
A. 1.53
B. 0.3
C. 2.224
D. 2.054
Answers
I NEED HELP FAST!!!!!! Line x and line z are straight lines.
Lines x, z, and y intersect to form 5 angles. From top left, clockwise, the angles are: a: right angle, b, c, d, e.
Which pair of angles are vertical?
Angle a and Angle d
Angle b and Angle d
Angle a and Angle b
Angle c and Angle e
It is not multiple choose
Answers
Answer:
D(Angle c and Angle e)
Step-by-step explanation:
Which pair of angles are vertical?
A (Angle a and Angle d)
B (Angle b and Angle d)
C (Angle a and Angle b)
D (Angle c and Angle e)
i took test on edeg 2021
got it right
6. The rungs of a ladder are each perpendicular to one side of the ladder. What can you conclude about the rungs of the ladder? Justify your answer by stating the theorem you used.
Answers
Answer: You can conclude that the ladder rungs are parallel using the Parallel Transversal Theorem.
Step-by-step explanation: Picture a ladder, all of the rungs are horizontal, but the sides are vertical. So all of the rungs are perpendicular to the sides, making right angles. If all of the rungs make 90 degree angles to the sides, that means that all of the rungs are straight with no angle. This makes sure that the rungs will not hit each other, so they are parallel.
Ydia is having a party on Saturday. She decides to write a riddle on her invitations to describe her house number on Cypress Street. Use the clues below to find Lydia's address. My address is a 5−digit number. The tens digit is 6 less than 8. The thousands digit is twice the digit in the tens place. The hundreds digit is the greatest odd number that is less than 10. The ones digit is the product of 6 and 1. The ten thousands digit is the difference between the hundreds digit and the ones digit.
Answers
Answer:
Ydia's address is: 62943
Explanation
Represent the digit as ABCDE such that:
[tex]A = Ones[/tex]
[tex]B = Tens[/tex]
[tex]C = Hundred[/tex]
[tex]D = Thousand[/tex]
[tex]E = Ten\ Thousand[/tex]
Analyzing the statements one after the other:
The tens digit is 6 less than 8
[tex]B = 8 - 6[/tex]
[tex]B = 2[/tex]
The thousands digit is twice the digit in the tens place.
[tex]D = 2B[/tex]
[tex]D = 2 * 2[/tex]
[tex]D = 4[/tex]
The hundreds digit is the greatest odd number that is less than 10.
[tex]C = 9[/tex]
The ones digit is the product of 5 and 1.
[tex]A = 6 * 1[/tex]
[tex]A = 6[/tex]
The ten thousands digit is the difference between the hundreds digit and the ones digit.
[tex]E = C - A[/tex]
[tex]E = 9 - 6[/tex]
[tex]E = 3[/tex]
Ydia's address is: 62943
if AB=n87 BC=46 x 6 and AC=n92-182 what is n
Answers
Answer:
54v43jn-tjd
Step-by-step explanation:
ruxulc
cufy
f gf
f cvhjiy g
fhg k
=54v43jn-tjd
Plss Help ASAP!!
The distance from Houston, Texas to Corpus
Christi, Texas is 210 miles. If the ratio of miles to
inches on a map is 2:0.25, how many inches
represent the distance from Houston to Corpus
Christi?
Answers
Answer:
26.25 inches
Step-by-step explanation:
2/.25
=8
210/8
=26.25
the math club bought 16 graphing calculators for $765 The TI-70 model cost $40 and the TI-83 model costs $65 write a system of equations that could be used to determine the number of TI-70 calculator,x and the number of Ti-83 Calculators,Y,That were purchased
Answers
Answer:
Divide and add, and u will get ur answer
Step-by-step explanation:
Given the diagram and information below, find m∠TUV.
Answers
Answer:
halabyouuuuuu
yiieeeeeee
WILL CASHAPP¡¡¡
I will cash app the first person $10 that completes these questions correctly
Answers
Answer:
A=2
B=1
C=4
D=5
E=3
130 degrees
138 degrees
angle 2 is not alternate exterior to any angle
angle 6
Step-by-step explanation:
sorry about that I don't know what I was thinking
Who was Monroe? was he one of our presidents?
Answers
Answer:
James Monroe (/mənˈroʊ/; April 28, 1758 – July 4, 1831) was an American statesman, lawyer, diplomat and Founding Father who served as the fifth president of the United States from 1817 to 1825. ... He is perhaps best known for issuing the Monroe Doctrine, a policy of opposing European colonialism in the Americas.
Step-by-step explanation:
Answer:
James Monroe was the 5th president of the United States. He was born April 28, 1758 in Westmoreland County, Virginia. He was chosen as a Virginia representative to the Congress of the Confederation in 1782. In 1808, he ran for president against Madison, but lost. He ran for president in 1816 as a Democratic-Republican and won. He was sworn into office on March 4, 1817. In 1825, Monroe left office and retired in Virginia. He died on July 4, 1831
please help me with this asap thank you
Answers
Answer:
37.7
Step-by-step explanation:
C= 2×3.14×6
C= 37.7
Let me know if it's wrong!
How would you classify the number 125?
a perfect square
b perfect cube
c both a perfect square and a perfect cube
d neither a perfect square nor a perfect cube
Answers
Answer:
(b) a perfect cube
Explination:
It is a perfect cube of 5
write an equation that is parallel to the equation (-3,-5) and (1,7) and goes through the point (2,4)
Answers
You didn't give an original equation, just the two points so I'm just going to go ahead and assume that b = 0, but in reality, it doesn't really matter what it equals I think.
Slope intercept form:
First, we find the slope, so we do y1-y2/x1-x2 which is 3. So then we do y=mx+b so 4=3(2)+b. Then we do 4=6+b. So, b = -2.
So the equation is y=3x-2
Find the slope which we already know. Plug into y-y1=m(x-x1).
y-4=3(x-2)
y-4=3x+6