Answer:
The steepness of the graph will decrease when the width of the bottle is increased.
Step-by-step explanation:
We are told that a bottle with a height vs. volume graph is created asthe bottle is consistently filled with liquid
Now, from initial conditions, the bottle will be empty and immediately we start putting liquid into the bottle, the graph of height vs volume starts.
Now, this height(H) represents the height of the liquid in the bottle while volume(V) is the volume of liquid in the bottle.
Now, we want to find the correlation between the width of the bottle and the steepness of the graph.
Thus, if we are to increase the width of the bottle, it means we are also increasing the capacity of the bottle which is the volume of the bottle.
What this means is that for us to get to the same height(H) before the increase in bottle width, we will need to pour in a larger volume of liquid(V').
If the extra amount of liquid to be poured is v, then the new volume that will get the liquid to the initial height(H) is;
V' = V_initial + v
The implication of this is that the slope of the graph will decrease.
Thus in terms of the question, the steepness of the graph will decrease when the width of the bottle is increased.
PROBLEM 2 The height of a golf ball in feet can be determined using the formula h(t) = -16t2 + 100x , where t is the number of seconds after the golf ball is hit. What is the height of the golf after 2.5 seconds? F 156 ft. G 84 ft. H 150 ft. J 136 ft.
Answer:
H. 150 ftStep-by-step explanation:
Given the height of a golf ball in feet modelled by the formula h(t) = -16t² + 100x where t is in seconds, we are to find the height of the golf after 2.5 seconds. To do that we will simply substitute t = 2.5secs into the formula given;
[tex]h(t) = -16t^2 + 100x\\\\h(2.5) = -16(2.5)^2 + 100(2.5)\\\\h(2.5) = -16(6.25) + 250\\\\h(2.5) = -100+250\\\\h(2.5) = 150\\\\[/tex]
Hence the height of the golf after 2.5 seconds is 150ft.
A plane took 3h 33 min to finish a journey.if the distance of the journey was 2840 miles
Answer:
The plane was traveling at 800 mph
Step-by-step explanation:
Step 1: Find the total number of minutes flown by airplane
3 hours * 60 minutes/hour = 180 180 + 33 = 213 total minutes
Step 2: Divide the number of miles flown by the number of minutes
2840 miles / 213 minutes = 13.3333333 miles/minute
Step 3: Multiply the number of miles/minute by 60 to calculate the number of miles/hour
13.3333333 miles/minute * 60 minutes/hour = 800 miles/hour
Solve x^2 = 144.
A. 72
B. 12
C. +12
D. -12
Answer: 12
Step-by-step explanation:
What is the value of
3
2.
Answer:
1
Step-by-step explanation:
2/3 times the power of 0 is 1. Anything to the power of zero equals 1. then you do 1 to the power of -3. which is one .
help please!!! So confused.I thought I got them right but when go to to type in my answer they're wrong.
Answer:
i can't see it
Step-by-step explanation:
the sum of 2n and 5 is equal to n
Answer:
n=-5
Step-by-step explanation:
Isolate the variable
What is the GCF of x2 and x9?
Answer:
x²
Step-by-step explanation:
Given the values x² and x^9
The greatest common factor is the factors common to two or more compared values :
Factors of :
x² = x * x
x^9 = x * x * x * x * x * x * x * x * x
Multiplying the Factors in both are : x * x = x²
Similarly :
___|x² | x^9
_ x | x | x^8
_ x | 1 | x^7
There is no factor which can reduce both further simultaneously, Hence the G. C. F = (x * x) = x²
You are filling bags with cookies to give your friends. You have 18 chocolate chip cookies and 24 peanut butter cookies. You want identical groups of cookies in each bag with no cookies left over. What is the greatest number of bags you can fill? (Please fill in the blank: Each bag will have _____ cookies.)
Answer:
This means we need 3 chocolate chips and 4 peanut butter in each bag for a total of 7 cookies in each bag
Step-by-step explanation:
Find the prime factors of each number
Chocolate chips 18 = 3*6 = 3 * 2*3
Peanut butter 24 = 4*6 = 2*2*2*3
We want to fill the greatest number of bags so cancel the like factors
Chocolate chips 18 = 3*6 = 3
Peanut butter 24 = 4*6 = 2*2 =4
This means we need 3 chocolate chips and 4 peanut butter in each bag for a total of 7 cookies in each bag
the price of a notebook has risen to $3.40 yesterday price was $3.15 find the percent increase round ur answer to the beset tenth of a percent
Answer:
7.9%
Step-by-step explanation:
The formula is P=x time 100, divided by y
the x is $0.25
the y is $3.15
0.25x100=25
25/3.15=7.936
rounded to the tenths place it's 7.9
The parabola has focus (0, 6) and vertex at the origin
Is the following number rational or irrational?
(square root of 50)
Answer:
irrational
Step-by-step explanation:
[tex]\sqrt{50}\\\\=\sqrt{25*2}\\\\=\sqrt{5^{2}*2 } \\\\=5\sqrt{2}[/tex]
so it's irrational
Irrational because its not an even number. If you try to do it you should get around 7.05
Please Help!! :)
Write the contrapositive of the given conditional statement.
Conditional Statement: "If a shape has four sides, then the shape is a rectangle."
Answer:
"If the shape is not a rectangle, then the shape doesn't has four sides."
Step-by-step explanation:
Given conditional statement is,
" Is a shape has four sides, then the shape is a rectangle."
Here we have two statements:
Statement p → A shape has four sides
Statement q → The shape is a rectangle.
Contrapositive of the statement will be:
If [tex]\sim q[/tex] then [tex]\sim p[/tex].
Therefore, contrapositive will be,
"If the shape is not a rectangle, then the shape doesn't has four sides."
calling all mathemeticians
Use inductive reasoning to determine the next two terms in the sequence 7, 16, 34, 70
Answer: 142 and 286
==========================================
Explanation:
If we multiply a given term by 2, then add 2, we get
7*2+2 = 14+2 = 16
16*2+2 = 32+2 = 34
34*2+2 = 68+2 = 70
So the rule seems to be "multiply by 2, then add 2"
If that rule holds up, then the next two terms are
70*2+2 = 140+2 = 142
142*2+2 = 284+2 = 286
What is the straight distance between points h and j on the grid
Answer:
13
Step-by-step explanation:
count across and then down
The volume of a box is 0.001 cubic units. If the box is a cube, what is the length of one of its edges?
===============================================
Work Shown:
0.001 = 1/1000
Apply the cube root to both parts of 1/1000 to get
[tex]\sqrt[3]{1} = 1\\\\\sqrt[3]{1000} = 10[/tex]
So this means that, [tex]\left(\frac{1}{10}\right)^3 = \frac{1}{10}*\frac{1}{10}*\frac{1}{10} = \frac{1}{1000} = 0.001[/tex]
Having a side length of 1/10 = 0.1 unit leads to a volume of 0.001 cubic units.
-------------
A shortcut alternative is to use your calculator to get
[tex](0.001)^{1/3} = 0.1[/tex]
The exponent of 1/3 is the same as a cube root.
Select the correct answer.
Which utility applies to a company that educates customers about its products' features?
O A form utility
B. knowledge utility
OC possession utility
OD place utility
OE price utility
Greatest 3 digit multiple of 33 using 3 diffrent digits
Answer:
957
The answer is this because the next 3 digit multiple of 33 would be 990.
Answer:
The answer is 957.
Step-by-step explanation:
Figure out how high one can go (multiplying by high numbers) without going into the 4-digits. Then, work backwards from there.
33*30 = 990
33*29 = 957
You work for an electric utility company that charges 12 cents per kilowatt-hour plus a base charge of $7.95. If a customer used 876 kilowatt-hours this month, how much should they be charged, in dollars?
$1.13
$105.12
$113.07
$10,512.00
$10,519.95
Answer:
2222
Step-by-step explanation:
Answer:
$113.07
Step-by-step explanation:
0.12*876=105.12
105.12+7.95=113.07
the answer to(-5)+4 and explain the steps
What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5?
HELP! ILL GIVE BRAINLIEST
Answer:
what do you need help for?
Step-by-step explanation:
Find the slope of the line passing through the points (-2, 5) and (-6, 7).
Someone help please
HELP ME PLEASE !!!!!!!! PLEASE
TREE:
white--ham---american
---swiss
---cheddar
white--turkey---american
---swiss
---cheddar
white--beef---american
---swiss
---cheddar
wheat--ham---american
---swiss
---cheddar
wheat--turkey---american
---swiss
---cheddar
wheat--beef---american
---swiss
---cheddar
PROBABILITY OF RANDOM SELECTION OF WHITE BREAD, BEEF/TURKEY, & CHEDDAR:
6/26, reduced to 3/13
Lm (51 + m) + 21² (m - 3) + 6L (m² +L)
Answer:
Step-by-step explanation:
Given :
l + m + n = 9
l²+ m² + n²= 31
l + m + n = 9
On squaring both sides
(l + m + n)²= 9²
(l²+m²+n²+2(lm+mn+nl) = 81
31 +2(lm+mn+nl) = 81
2(lm+mn+nl) = 81 - 31
2(lm+mn+nl) = 50
(lm+mn+nl) = 50/2
(lm+mn+nl) = 25
Hence, the value of (lm+mn+nl) = 25
Answer:
YOU GOT GOOGLE
Step-by-step explanation:
GOOGLE!!
What is the sum of -2 and -7?
can someone solve 2x+5=x-1
Answer:
x = -6
Step-by-step explanation:
Answer: x=-6
Step-by-step explanation:
Given
2x+5=x-1
Subtract 5 on both sides
2x+5-5=x-1-5
2x=x-6
Subtract x on both sides
2x-x=x-6-x
x=-6
3 customers entered a store over the course of 6 minutes. At what rate were the customers entering the store in customers per minute?
Answer:
18 right?
Step-by-step explanation:
Answer:
1:2 1 customer per 2 minuts or 1/2 a customer per minute
Step-by-step explanation:
test question
-5x + 4 - 7 = -18
Answer:
x=3
Step-by-step explanation:
