Angie is determining the volume of a box in the shape of a rectangular prism. She finds the length is 2cm more than the width and 3 cm less than the depth. Which equation can Angie use to get the volume of the box, in cubic centimeters?
A. V = w(w+2)(w+3)
B. V = w(w+2)(w+5)
C. V = w(w-2)(w-3)
D. V = (w+2)(w+5)
Answers
The volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.
What is a rectangular Prism ?
A polyhedron with two congruent and parallel bases is known as a rectangular prism. It's also known as a cuboid.
A rectangular prism has six faces, each of which is in the shape of a rectangle and has twelve edges. It's called a prism because of its cross-section along its length.
It is given that length of the rectangular prism has length of 2 cm more than the width and 3 cm less than the depth
Let the depth be x cm
and width be y cm
Then the length will be y+2 cm and x-3 cm
y+2 = x- 3
x = y+5
A rectangular prism is a cuboid with six faces
Volume of a rectangular prism can be written as
length * width * depth
= (y+2) *x*y
= (y+2)* (y+5)*y
= (y²+2y)(y+5)
= y³ +5y²+2y²+10y
= y³ +7y² +10y cm³
Therefore the volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.
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Related Questions
pls answer this simple
Answers
Answer:
Step-by-step explanation:
a) 4.5m = 4.5×100 = 450 cm
b) 7.6km = 7.6×1000 = 7600 m
c) 68mm = 68÷10 = 6.8 cm
d) 190cm = 190÷100 = 1.9 m
...
there is a four-stage hypothesis about the origin of life. what are the stages in the correct order?
Answers
1. Abiotic (nonliving) synthesis of small organic molecules, such as amino acids and nucleotides
2. The joining of these small molecules into macromolecules, including proteins and nucleic acids
3. Packaging of these molecules into "protobionts", droplets with membranes that maintained an internal chemistry different from that of their surroundings
4. Origin of self-replicating molecules that eventually made inheritance possible
5 times the sum of g and h
Answers
have a good day!
the sides of a triangle are in the ratio, 4:5:7 and its perimeter is 64cm. find its area , correct to 2 decimal places
Answers
Answer:
Step-by-step explanation:
First find all the sides of the triangle:
Total parts: 4+5+7 = 16
cm per part = 64/16 = 32/8 =4cm
therefore, all measures: 16cm, 20cm, 28cm.
Answer:
since you have not specified the height, I will use any no.
= 0.16
Step-by-step explanation:
perimeter is the distance round
add the ratios; 4+7+5=16
Ratio 16= Perimeter 64cm
R.16=64cm, find all the ratios
start with ratio 4
R.16=64cm
R.4×64cm÷16=16 cm
R.5×64÷16= 20 cm
R.7×64÷16=28 cm
A=1/2× b×h
1/2×16×20= A= 160cm2
2 dp, divide
0.16
which table represents a linear function?
Answers
Answer:
The third option (with the y values of -3, -5, -7, and -9)
Step-by-step explanation:
The y values in the third table are increasing by the same amount, indicating that the rate of change is constant, which is a key quality of a linear function.
On a coordinate plane, polygon S prime T prime U prime V prime has points (negative 2, 4), (negative 4, 1), (negative 2, negative 2), and (0, 1).
Given the dilation rule DO,1/3 (x, y) → (one-third x, one-third y)
and the image S'T'U'V', what are the coordinates of vertex V of the pre-image?
(0, 0)
(0, One-third)
(0, 1)
(0, 3)
Answers
The vertex of V' had a preimage of V(0, 3) as V' has a dilation of 3.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, On a coordinate plane, polygon S'T'U'V' has points (- 2, 4), (- 4, 1),
(- 2, - 2), and (0, 1) with a dilation rule DO,1/3 (x, y) to [(1/3)x, (1/3)y].
Therefore, The coordinates of the vertex V had a preimage of,
3(V'), which is 3(0, 1) = (0, 3).
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Describe a method other than the one used in the example that you could use to find a
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Answer:
no pic available. please show the question
Answer:
pls where is tthpe picture
If you get an identity when trying to solve a system of two linear equations, the system's graph
must be
a) two parallel lines
b) two lines that are the same
c) two intersecting lines
d) two perpendicular lines
e) None of the above
Answers
Answer:
a) two parallel lines
Step-by-step explanation:
Two parallel lines have the same slope
Let's take a concrete example:
y = 2x + 4 (slope =2, y-intercept = 4)
y = 2x + 10 (slope = 2, y-intercept = 10)
Lines are parallel to each other
If you try to solve this equation you get
2x + 4 = 2x + 10
Subtracting 2x on both sides gives you the identity 4 = 10 (a contradiction)
This means the 2 line equations are inconsistent
Can anyone help me solve this problem and explain how you got the answer I am pretty confused :(
Solve for X ____
Solve for Y ____
Answers
Step-by-step explanation:
since it is a right and isosceles triangle, therefore :
X = Y = (180-90)/2 = 90/2 = 45
X = 45°
Y = 45°
The larger of two numbers is 2 less than three times the smaller number. If the sum of the two numbers is 26, find the two numbers
Answers
Answer:
Step-by-step explanation:
19 and 7
The old woman has 5 hens that lay 5 eggs a day. One day, she wanted more eggs, so she bought 15 more hens. How many eggs will she have in 20 days after buying more?
Answers
Answer:
400 eggs.
maybe it's correct
If you square my age and subtract 28 times my age, the result is 60. What is my age?
Answers
Answer:
32 bro its so easy totally
Step-by-step explanation:
Help show work
A 85.7%
B 21.1%
C64.6%
D 35.4%
Answers
Answer:
C
Step-by-step explanation:
Telescoping Series: Given the series n(n - 1) "=2 Part 1 Find a formula for the nth partial sum, Sn that depends only on n. Sn = _________ Part 2 Evaluate the following limit to determine whether the given series converges or diverges. lim Sn _________ Therefore the series _________ to _________. Note: If the series diverges, type 'inf' in the last blank:
Answers
The formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges.
Part 1: The formula for the nth partial sum, Sn, for the series n(n-1), can be found by using the formula for the sum of the first n natural numbers, which is given by Sn = n(n+1)/2. To find the sum of n(n-1), we can rewrite it as n^2 - n and use the formula for the sum of the first n squares, which is given by n(n+1)(2n+1)/6. Therefore, the formula for Sn is Sn = n(n+1)(2n-1)/6.
Part 2: To determine whether the given series converges or diverges, we need to evaluate the limit of Sn as n approaches infinity. Taking the limit of the formula for Sn, we get lim Sn = lim [n(n+1)(2n-1)/6] = lim (2n^3/6) = lim (n^3/3) = inf. Since the limit of Sn is infinity, the series diverges.
In conclusion, the formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges as the limit of Sn approaches infinity. This means that the sum of the series does not converge to a finite value and grows without bound as n increases.
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If (62)x = 1, what is the value of x and please explain
Answers
k) 12y + 15 + y – 3 6y – 9 = y
alguien me puede ayudar por favor?:(
Answers
13y+12,6y−9=y
2 Switch sides.
y=13y+12,6y-9y=13y+12,6y−9
3 Break down the problem into these 2 equations.
y=13y+12y=13y+12
y=6y-9y=6y−9
4 Solve the 1st equation: y=13y+12y=13y+12.
y=-1y=−1
5 Solve the 2nd equation: y=6y-9y=6y−9.
y=\frac{9}{5}y=
5
9
6 Collect all solutions.
y=-1,\frac{9}{5}y=−1,
5
9
Step-by-step explanation:
i dont know what u said so i solved for y
Answer:
y = 1/4
Step-by-step explanation:
Yo no comprehendo espanol mucho, but I'll try
12y + 15 + y - 36y - 9 = y
Rearrange
12y + y (-y) + 15 (-15) - 36y - 9 (+9)= y (-y) (-15) (+9)
12y - 36y = - 15 + 9
-24y = - 6
Divide both sides by - 24 (Take note of the signs (+) (-))
-24y/-24 = - 6/-24
y= 1/4
during her birthday, her parents have decided to give laura and her 2 younger brothers new (identical) cellphones. however, they are confused between the innumerable service providers. assuming no child wants a provider that another sibling has, and that there are 20 service providers, in how many ways can the parents grant the children their phones?
Answers
6840 possible ways can the parents give the kids their phones, providing no kid desires the service provider a sibling has and that there are 20 service providers.
Given that,
Laura's parents have chosen to purchase new (similar) telephones for her and her two younger brothers on her birthday. They are bewildered by the numerous service providers, though.
We have to find how many different ways can the parents give the kids their phones, providing no kid desires the service provider a sibling has and that there are 20 service providers.
We know that,
20 choices for child 1 leaves
19 choices for child 2 leaves
18 choices for child 3
By multiplication
20x19x18 = 6840 possible ways.
Therefore, 6840 possible ways can the parents give the kids their phones, providing no kid desires the service provider a sibling has and that there are 20 service providers.
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Question 1: Implement the following Boolean function F, using the two-level forms of logic (a) NAND-AND, (b) AND-NOR, (c) OR-NAND, and (d) NOR-OR (2 points) I F(A, B, C, D) = = Σm( m(0,4,8,9,10,11,12,14)
Answers
The implementation of Boolean function =
a) F = ((A NAND B) NAND (C NAND D)) AND ((A NAND C) NAND (B NAND D))
b) F = (A AND B AND C AND D) NOR (A AND (B NOR C) NOR D)
c) F = (A OR B OR C OR D) NAND ((A OR C) OR (B OR D))
d) F = (A NOR B NOR C NOR D) OR (A NOR C NOR B NOR D)
To implement the Boolean function F(A, B, C, D) = Σ(0,4,8,9,10,11,12,14) using different two-level forms of logic, we'll go through each form step by step:
(a) NAND-AND:
In this form, we'll use NAND gates followed by an AND gate to implement the function.
The expression for F in NAND-AND form is:
F = ((A NAND B) NAND (C NAND D)) AND ((A NAND C) NAND (B NAND D))
Here's a breakdown of the implementation:
The NAND gate produces the complement of the AND operation. So, (A NAND B) means "not (A AND B)."
In this form, the function is expressed as the conjunction (AND) of two NAND gate outputs.
Each NAND gate takes two inputs, and we'll use two NAND gates to handle each term of the sum of products.
(b) AND-NOR:
In this form, we'll use AND gates followed by a NOR gate to implement the function. The expression for F in AND-NOR form is:
F = (A AND B AND C AND D) NOR (A AND (B NOR C) NOR D)
Here's a breakdown of the implementation:
The AND gate produces the logical conjunction of its inputs.
In this form, the function is expressed as the disjunction (OR) of two NOR gate outputs.
Each AND gate takes multiple inputs, and we'll use two AND gates to handle each term of the sum of products.
(c) OR-NAND:
In this form, we'll use OR gates followed by a NAND gate to implement the function. The expression for F in OR-NAND form is:
F = (A OR B OR C OR D) NAND ((A OR C) OR (B OR D))
Here's a breakdown of the implementation:
The OR gate produces the logical disjunction of its inputs.
In this form, the function is expressed as the complement (NAND) of the conjunction (AND) of two OR gate outputs.
Each OR gate takes multiple inputs, and we'll use two OR gates to handle each term of the sum of products.
(d) NOR-OR:
In this form, we'll use NOR gates followed by an OR gate to implement the function. The expression for F in NOR-OR form is:
F = (A NOR B NOR C NOR D) OR (A NOR C NOR B NOR D)
Here's a breakdown of the implementation:
The NOR gate produces the complement of the logical OR operation.
In this form, the function is expressed as the disjunction (OR) of two NOR gate outputs.
Each NOR gate takes multiple inputs, and we'll use two NOR gates to handle each term of the sum of products.
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Please please solve for poi and area, I am struggling a lot
Find all points of intersection (r,θ) of the curves r=3cos(θ), r=1sin(θ).Note: In this problem the curves intersect at the pole and one other point. Only enter the answer for nonzero r in the form (r,θ)with θ measured in radians.
Point of intersection =
Next, find the area enclosed in the intersection of the two graphs.
Area =
Answers
The point of intersection is (3/√10, π/4) and (3/√10, 7π/4) and the enclosed area is 2.1992.
Given two equations
r = 3cos(θ) and
r = sin(θ),
let's find the points of intersection (r,θ) of the two curves.
Point of intersection:
The curves intersect at the pole and one other point (r, θ).
At θ = 0, 2π, the value of r = 0 for the curve
r = 3cos(θ)
At θ = π/2 and 3π/2, the value of r = 0 for the curve
r = sin(θ)
We need to find another point where the curves intersect.
Let's set the two curves equal and solve for θ.
3cos(θ) = sin(θ)3cos(θ)/sin(θ)
= tan(θ)3/cos(θ)
= tan(θ)
3π/4, 7π/4.
These are the only two points of intersection of the curves.
Enclosed area: Finding the area enclosed by the intersection of the two curves is done by computing the area of the two regions that make up the enclosed region.
The area A of the enclosed region is given by the expression:
\(A = 2∫_0^(3π/4) 1/2[3cos(θ)]^2 dθ - 2∫_0^(π/4) 1/2[sin(θ)]^2 dθ\)
We get
A = 9π/4 - 1/4
= 2.1992
(rounded to four decimal places)
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in a recent study, 90% of the homes in the united states were found to have large-screen tvs. in a sample of nine homes, what is the probability that:
Answers
The number of ways to choose 0, 1, and 2 homes out of 9, respectively
Why 90% of the homes in the united states were found to have large-screen tvs?we need to assume that the sample of nine homes is a random sample from the population of all homes in the United States. Based on this assumption, we can use the binomial distribution to model the number of homes in the sample that have large-screen TVs.
Let p be the probability that a randomly selected home in the United States has a large-screen TV, which is given as 0.9. Let X be the number of homes in the sample of nine that have large-screen TVs. Then X follows a binomial distribution with parameters n = 9 and p = 0.9.
Exactly 7 of the 9 homes have large-screen TVs.The probability of exactly 7 homes having large-screen TVs is given by the binomial probability mass function:P(X = 7) = (9 choose 7) ˣ (0.9)⁷ ˣ (0.1)² ≈ 0.3874where (9 choose 7) is the number of ways to choose 7 homes out of 9.At least 8 of the 9 homes have large-screen TVs.The probability of at least 8 homes having large-screen TVs is the sum of the probabilities of X = 8 and X = 9:P(X ≥ 8) = P(X = 8) + P(X = 9)= (9 choose 8) ˣ \((0.9)^8\) ˣ \((0.1)^1\) + (9 choose 9) ˣ \((0.9)^9\) ˣ \((0.1)^0\)≈ 0.5749where (9 choose 8) and (9 choose 9) are the number of ways to choose 8 and 9 homes out of 9, respectively.At most 2 of the 9 homes do not have large-screen TVs.The probability of at most 2 homes not having large-screen TVs is the sum of the probabilities of X = 0, X = 1, and X = 2:P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)= (9 choose 0) ˣ\((0.9)^0\) ˣ\((0.1)^9\) + (9 choose 1) ˣ \((0.9)^1\) ˣ \((0.1)^8\) + (9 choose 2) ˣ (0.9)² ˣ (0.1)⁷≈ 1.3082e-06where (9 choose 0), (9 choose 1), and (9 choose 2) are the number of ways to choose 0, 1, and 2 homes out of 9, respectively.
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Gary deposited $9,000 in a savings account with simple interest. Four months later, he had earned $180 in interest. What was the interest rat
Answers
Using the simple interest system, the interest rate for which Gary deposited $9,000 and earned $180 in interest after four months is 6%.
What is the simple interest system?The simple interest system is based on the process of computing interest on the principal only for each period.
This contrasts with the compound interest system that charges interest on both accumulated interest and the principal.
The simple interest formula is given as SI = (P × R × T)/100, where SI = simple interest, P = Principal, R = Rate of Interest in % per annum, and T = Time.
The principal amount invested by Gary = $9,000
Time = 4 months = 4/12 years
Interest = $180
Therefore, 180 = ($9,000 x R x 4/12)/100
R = 180/($9,000 x 4/12)/100
R = 6%
Thus, the interest rate is 6%.
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what is this expression in simplified form?
Answers
Answer:
33.17 (A)
Step-by-step explanation:
the square root of 22 times (5x the square root of 2)
is 33.17 rounded to the nearest 10th
and 10 x the square root of 11 is 33.17
(they match)
2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)
Answers
she me he sid sud iebe Howie
a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answers
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
hi i need help with this
Answers
Answer:
difficult
Step-by-step explanation:
Can somebody please help
Answers
Answer:
for what
Step-by-step explanation:
i didnt see anything
jenny used a coordinate plane to design the deck shown. each unit on the grid represents 1 meter. to buy materials to build the patio, she needs to know its perimeter. what is the perimeter of the deck ?
Answers
Answer: 22 meters
Step-by-step explanation:
I dont need to show
(repost forgot some) Netflix Recommendations??(WORTH 50 POINTS) Ive seen..
Riverdale
Ozarks
Outerbanks
Vampire Diaries
Legacies
CSI Miami
Chicago P.D.
Zoo
Insatible
Breaking Bad
Schitts Creek
Sex Ed
Grey's Anatomy
All American
Cobra Kai
Criminal Minds
Stranger Things
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Answer:
The Office
Step-by-step explanation:
You have 2,112 grams of a radioactive kind of mercury. How much will be left after 188 days if it's half-life is 47 days?
Answers
Answer:
132 gStep-by-step explanation:
Initial amount = 2112 gTime = 188 daysHalf-life = 47 days188 days / 47 days = 4 periods
Mercury left after 188 days:
2112 * (1/2)^4 = 2112* 1/16 =2112/16 =132 gI bought 3 quarts of milk how many days will her 3 quarts of her last milk 1 quarts =2 pints = 4 cups
Answers
The milk will last for 3 to 12 days depending on how much milk is consumed per day.
How long milk will last based on daily consumption?
If you bought 3 quarts of milk, that would be equivalent to 3 x 4 = 12 cups of milk.
If you drink 1 cup of milk per day, then the milk will last you for 12 days.
If you drink 2 cups of milk per day, then the milk will last you for 6 days.
If you drink 1 pint of milk per day, then the milk will last you for 6 days.
If you drink 1 quart of milk per day, then the milk will last you for 3 days.
So, the number of days that the milk will last you depends on how much milk you drink per day.
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