A cube shaped block of ice has a mass of 59 kg. The density of ice is 917 kg per cubic meter. The mass of an object is the product of its density and its volume. Write a cubic function to model the mass of a block of ice in terms of its edge length x (in meters).
Answers
Using the density formula, the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Using the function, the edge length of the block of ice is of 0.4 m.
What is the formula for the density of an object?The density of an object is given by the mass of the object divided by it's volume, as follows:
d = m/v.
Hence the mass of the object is given by the following equation:
m = dv.
For this problem, we have that:
The density of ice is 917 kg per cubic meter, hence d = 917.The block of ice has a cubic format, meaning that v = x³, in which x is the edge length.Hence the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Considering the mass of the block of ice, the length is found as follows:
59 = 917x³
x = cubic root(59/917) -> (59/917)^(1/3) in any calculator
x = 0.4 m.
Using the function, the edge length of the block of ice is of 0.4 m.
More can be learned about the density formula at https://brainly.com/question/11836799
#SPJ1
Related Questions
Mike jogged a total distance of 5 and 1 over 3 miles during the months of October and November. If Mike only jogged 1 over 6 mile every day, which expression shows the number of days in which he went jogging?
5 and 1 over 3 multiplied by 1 over 6
5 and 1 over 3 plus 1 over 6
5 and 1 over 3 minus 1 over 6
5 and 1 over 3 divided by 1 over 6
HELP MEH PLZ !!! IT'S (15 POINTS) T^T
Answers
Answer:
Step-by-step explanation:
5 1/3 x 1/6 = 8/9
5 1/3 + 1/6 = 5 2/6
5 1/3 - 1/6 = 31/6
5 1/3 / 1/6 = 32
Answer:
the correct answer for this problem is D: 5 and 1/3 divided by 1/6
Step-by-step explanation:
A submarine sits at -300 meters in relation to sea level. Then it descends 115 meters. What is its new position in
relation to sea level?
O
-415 m
O
-185 m
O
-115 m
O
-100 m
Answers
I need help please !!! Help noww
Answers
Answer:
Sorry link only if you have enough rupees
Step-by-step explanation:
78x
87x
09x
cc
bb
dom=cb
makes sense now c.r.y because this answer is too smart f/.or y.o.u not helping you? just pray and god will give you your answer or talk morshu he'll give you help BUT only if you have enough rupees.
Bvtcctctctc CJ bububuv
Answers
Answer:
A) [tex]y+7=-3(x-4)[/tex]
Step-by-step explanation:
Hi there!
The given equations are written in point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope of the line and [tex](x_1,y_1)[/tex] is a point that falls on the line
Notice how the line is travelling infinitely down as x increases. This means that the slope is negative.
Therefore, the equation of the line is either A or B.
Now, let's look at A:
[tex]y+7=-3(x-4)[/tex]
This equation suggests that the point (4,-7) falls on the line, which it does.
Therefore, the equation of the graph is [tex]y+7=-3(x-4)[/tex].
I hope this helps!
Answer: A.) y + 7 = - 3 ( x - 4 )
Step-by-step explanation:
i didnt know i was a graph lolz im just playin have a nice day kind person and sorry for answering late!!!!!!
10 more than a number divided by -8
Answers
Answer:
6X8=48 10 more is 58
Step-by-step explanation:
need an answer, please need an answer, please.
Answers
Answer:
Step-by-step explanation:
1) c
x² = 1
x² - 1 = 0
Degree of quadratic equation should be 2.
2) 'a'- coefficient of x² cannot be 0
option a
3) option c
Standard form: ax² + bx +c = 0
4) c = 5
3x² + 8x = -5
3x² + 8x + 5 = 0
option c
5) b= 0
option a
1. Preeta watches an ant and a beetle crawl in a hole in the ground. The beetle is inch below ground level. The beetle climbs the distance the ant is below ground level. The beetle is now inches below ground level.
(a) Let x = the position of the ant relative to ground level. What equation can be written to solve for x?
(b) Solve the equation from Part (a). Show your work.
(c) What is the distance between where the ant is and where the beetle is? Answer the question in a complete sentence. Show your work.
Answers
Answer:
1a: [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
1b: See below
1c: [tex]2\frac{3}{4}[/tex] inches between the beetle and ant
Step-by-step explanation:
1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.
So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
1b. Solve the equation written above from 1a.
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
-3/4 -3/4 [subtract 3/4 to start the process of getting x by itself]
[tex]\frac{1}{3}x[/tex] = 1[tex]\frac{3}{4}[/tex]
*3/1 *3/1 [Multiply Reciprocal to get X by itself]
x= [tex]5\frac{1}{4}[/tex]
1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them
5 1/4 - 2 1/2 = [tex]2\frac{3}{4}[/tex]
These answers were found by using this info:
the beetle is 3/4 inch below the ground level. The beetle climbs 1/3 the distance. The beetle is now 2 1/2 inches below ground.
Fred borrows $2710 at 3.8% simple interest per month. When Fred pays the loan back 3 months later, what is the total amount that Fred ends up repaying?
Answers
Answer:
3,018.94
Step-by-step explanation:
"andrea sells cell phones in sydney, but never on sunday. she is paid 3500 a month plus 20% of her monthly sales. she needs to earn atleast 4800 a month to pay for her rent, food, fun, and other life essentials. to afford her lifestyle, what amount of sales will andrea need to achieve?"
Answers
Answer: Answer. $6500.
Step-by-step explanation:
The equation to solve it is
3500 + 0.2*x = 4800,
Simplify and solve it:
0.2x = 4800 - 3500,
0.2x = 1300,
x = 1300%2F0.2 = 6500.
Culver has 1 quarter, 3 dimes and 1 penny. How much money does he have
Answers
Answer:
56 cents
Step-by-step explanation:
1 quarter = 25 cents
3 dimes = 30 cents
1 penny = 1 cent -_-
25 + 30 + 1 = 56
Explicit Formula for 10,12,14,16,18
Answers
Write each equation in slope intercept form Underline the slope and circle the y intercept in each equation 5x + 3y = 30
The slope - intercept form is ___
The slope is ___
The y - intercept is (_, _)
Answers
Answer:
y=-5/3x+10
-5/3
(0,10)
Step-by-step explanation:
5x+3y=30
-5x. -5x
3y=-5x+30
÷3. ÷3
y=-5/3x+10
the number by the x is the slope and the constant
is the y intercept. in a y intercept the x=0 and they y=the constant which is 10 in this case making it (0,10)
If F(x)=4x-1 and G(x)=2x-4 what is (FoG) (x)?
Answers
B. x-1
C. 9x-5
D. 16x+7 E. None of these
The correct answer is C . (FoG) (x)= F(G(x))=4(2x-4)-1=4*2*-1=-10-1=-9, so the answer is 9*x-5
Solve: (-5) + (-18)
A -23
B- 13
C 13
D 23
Answers
Does anyone know 1/4 x ? = -2?
Please scalping on a piece of paper or explain in the comment, that would be really helpful =]
Answers
Answer:
-8
Step-by-step explanation:
1/4 x = -2
You want the value of x. x is being multiplied by 1/4. To get x alone on the left side, you need to divide both sides by 1/4. Dividing by 1/4 is the same as multiplying by 4.
Multiply both sides of the equation by 4.
4 * 1/4 x = -2 * 4
4 * 1/4 = 1, so on the left side you get 1x which is just x.
x = 8
Answer: -8
the answer is 8
Step-by-step explanation:
1/4×8=-2
Peter owns a store that sells men's clothing. His most significant monthly expenses to run the store are the cost of retail items and the power bill. This month, he purchased 50 suits for his store. He also
needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month:
50 (x) + 35 (x + 25) + 450
What does (x + 25) represent?
А-the cost of 25 suits
B-the cost of each pair of shoes
C-the total cost of the pairs of shoes
D-the price of one suit and one pair of shoes
Answers
Answer:
B-the cost of each pair of shoes
Step-by-step explanation:
This is because each pair of shoes cost $25 dollars more than each suit (which is represented by x)
x + 25, represents the cost of each pair of shoes. Option B is correct.
Given that,
This month Peter purchased 50 suits for his store. He also needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month
50 (x) + 35 (x + 25) + 450, What x + 25 represents the equation is to e determined.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
Let x be the rate of each suit,
and the cost of the shoe is $25 dollars more than each suit. So,
50 (x) + 35 (x + 25) + 450
In the equation, x + 25 represent the cost of each pair of shoe.
Thus, x + 25, represents the cost of each pair of shoes. Option B is correct.
Learn more about polynomial function here:
https://brainly.com/question/12976257
#SPJ2
solve pls brainliest
Answers
Answer:
(1,6)
Step-by-step explanation:
all u gotta do is look at the graph, the school is at x=1 and y=6 so therefore (1,6)
Answer:
(1,6)
Step-by-step explanation:
Using the graph of y = f(x) to the right, and given that the zero of the function is x=20, find the following.
Answers
Answer:
3.5
Step-by-step explanation:
If x=8, find the value of y in the equation 4x-2y=28
Answers
Answer:
The answer is 2
Step-by-step explanation:
[tex]4x - 2y = 28 \\ 4 \times 8 - 2y = 28 \\ 32 - 2y = 28 \\ 32 - 28 = 2y \\ 4 = 2y \\ devided \: by \: 2 \\ then \\ y = 2[/tex]
: $800 invested at a 9% interest rate for 8 years.
Answers
Answer:
576$
Step-by-step explanation:
$800×9/100×8=576$
solve pls brainliest
Answers
Answer:
1(5/8)
step-by-step:
divide the numerator (top number) by the denominator (bottom number)
write whole number off to the left and put the remainder over the denominator to the right
Whatia the slops of the lime through (-2,16) and (2,2)
Answers
solve pls branliest!
Answers
2) -7 + (-3) …….
Answer:
(a) -7+3
(b)-7+(-3)
1. A new drill is used to dig a hole in the ground. At noon, the hole is 13.2 feet deep when the new drill is turned on for the first time that day. At 2 p.m., the drill has dug the hole to be feet deep. The new drill dug 1.5 times as much of the hole as the old drill would have in the same length of time.
(a) What expression represents the number of feet the new drill dug?
(b) How many feet would the old drill have dug in the same length of time? Show your work. Answer the question in a complete sentence.
Answers
Using the subtraction and division operation, the depth dug by the new drill, and the depth that would have been dug by the old drill are 29.05 feets and 19.37 feets respectively.
The expression for the number of feets dug by the new drill can be calculated thus :
Final depth - Initial depthDepth dug = 42.25 feets - 13.2 feets
Depth dug = 29.05 feets
The new drill dug 1.5 times the depth that woukd have been dug by the old drill :
Depth dug by old drill = 29.05 / 1.5
Depth dug by old drill = 19.37 feets
Therefore, the depth dug by old drill will be 19.37 feets
Learn more : https://brainly.com/question/12474772
Which of the following is the correct interpretation of 2?
In a statistics class, a teacher had the students
complete an activity in which they grabbed as many
bite-sized pretzels as they could with their dominant
hand, without crushing them. The teacher then
measured their handspan in centimeters. A regression
analysis was completed and the value for was
52.1%
* About 52.1 percent of the variation in handspan is
accounted for by the linear relationship formed with
the number of bite-sized pretzels grabbed with the
dominant hand.
About 52.1 percent of the variation in number of
bite-sized pretzels grabbed with the dominant hand
is accounted for by the linear relationship formed
with handspan
About 47.9 percent of the variation in handspan is
accounted for by the linear relationship formed with
the number of bite-sized pretzels grabbed with the
dominant hand
About 72.1 percent of the variation in number of
bite-sized pretzels grabbed with the dominant hand
is accounted for by the linear relationship formed
with handspan
Answers
Answer:
B
Step-by-step explanation:
EDGEN
Answer:
B. About 52.1 percent of the variation in number of bite-sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan.
Step-by-step explanation:
What is a multiplication table
Answers
Answer:
a table of products of two factors especially the integers 1 to 12 have a nice day
Step-by-step explanation:
:)
A penguin walks 10 feet in 6 seconds. At this speed how far does he walk in 45 seconds?
Explain or show your reasoning.
Answers
Answer:
75 feet
Step-by-step explanation:
45/6 equals 7.5
7.5*10=75
Brisa is 2 years older than Aja. Damaris is 1 year younger than half of Brisa's age. The sum of all their ages is 27.
Answers
brisa is 12.5 aja is 10.5 and damaris is 4
I need the answer and a step by step
Answers
Answer:
hii
Step-by-step explanation:
plzz see attachment
hope it helps u
plz mark as brainliest
5−1/4x=15−14/x helppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
x=-41.354157 or x=1.354157
Answer:
x = -2(10 + √114) , x = 2(-10 + √114)
Step-by-step explanation:
5 − 1/4x = 15 − 14/x
-5 -5
----------------------------
-1/4x = 10 - 14/x
*4x *4x
-----------------------------
-x^2 = -56 + 40x
-----------------------------
x = -2(10 + √114) , x = 2(-10 + √114)