The volume of the rectangular prism is 243 cm³
given that
The top face of the cube has an area of 9 cm²
since All the faces of the cube are squares
therefore The top face is a square
∵ Area of any square = L² , where L is the length of the side of
the square
∵ Area of the top face is 9 cm²
∴ L² = 9 ⇒ take √ for both sides
∴ L = 3 cm
∵ The volume of any cube = L³
∵ L = 3 cm
∴ The volume of the cube = (3)³ = 27 cm³
- We will use 9 cubes to make a rectangle prism
∴ The volume of the rectangle prism is equal to the volume of
the 9 cubes
∴ The volume of the prism = 9 × volume of a cube
∵ The volume of the cube is 27 cm³
∴ The volume of the prism = 9 × 27 = 243 cm³
* The volume of the rectangular prism is 243 cm³
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Solve for X
4(5x+6)=12
-3(2x-4)=18
26=2(3x-2)
The value of x in the equations are:
1. x = -3/5
2. x = -1
3. x = 5
How to Solve an Equation?Given the equations above, to solve for x, isolate x as the variable in the equation to one side of the equation.
a. 4(5x+6) = 12
Apply the distributive property
20x + 24 = 12
20x = 12 - 24
20x = -12
x = -12/20
x = -3/5
b. -3(2x - 4) = 18
Apply the distributive property
-6x + 12 = 18
-6x + 12 - 12 = 18 - 12
-6x = 6
x = 6/-6
x = -1
c. 26 = 2(3x - 2)
Apply the distributive property
26 = 6x - 4
26 + 4 = 6x
30 = 6x
5 = x
x = 5
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How do I work this out
Answer:
multiply simplify and work out the problem as slow as possible so you can get it right
14/7 into mixed numbers
a region is bounded by semicircular arcs constructed on the side of a square whose sides measure $2/\pi$, as shown. what is the perimeter of this region?
The perimeter of this region is 4.
What is perimeter?playing a card game, set of cards that are numbered or outlined (or both) and are utilized for messing around, for schooling, for divination, and for conjuring. Generally, Western playing a card game are made of rectangular layers of paper or slight cardboard stuck together to frame a level, semirigid material. Some have proposed that the playing a card game previously worked as "play cash" and addressed the stakes utilized for other betting games, and later turned out to be essential for the actual games. Others have proposed associations between playing a card game and chess or dice games, yet this is again theoretical. Different games, for example, a 25-card variation of Euchre which involves the Joker as the most elevated trump, make it one of the main in the game. Frequently, the Joker is a special case, and subsequently permitted to address other existing cards.
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Draw an irregular 14-sided polyhedron which has two congruent bases.
An irregular 14-sided polyhedron which has two congruent bases is as shown in the attached file.
What is a Polyhedron?
A polyhedron is a three dimensional solid shape made by joining together polygons.
For example we can consider a prism having 12-sided regular polygons as bases because then there would be 2 bases and 12 lateral sides for a total of 14 sides for the polyhedron.
Since the lateral faces are rectangles and not 12-sided polygons like the bases, the polyhedron is an irregular polyhedron.
Applying the above, we can draw an irregular 14-sided polyhedron which has two congruent bases as shown in the attached file.
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Natalie reads for 6/8 hour on 6 days each week. how many hours does natalie read each week
Natalie read 4.5 hours each week
In this question,
Natalie reads for 6/8 hour on 6 days each week.
We need to find how many hours Natalie read each week.
Based on the given conditions, formulate: 6/8 × 6
Write as a single fraction:
= (6 × 6)/8
= (3 × 3)/2 .................(Cross out the common factor)
= 9/2
= 4.5 hours
Therefore, Natalie read 4.5 hours each week
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1. Turn this standard notation 25,000,000 into scientific notation.
Answer:
25,000,000 = 2.5 × 10^7
The ^ is raised to the power.
Hope this helps :)
Step-by-step explanation:
2.5 × 10^7 = 25,000,000
Is (2,-1) a solution of 2x-y=5? Explai
how your work.
Answer:
Yes, (2, -1) is a solution.
Step-by-step explanation:
Plug in 2 for x and -1 in for y and see if it is a true statement.
2x - y = 5
2(2) - (-1) = 5
4 - (-1) = 5 Subtracting a negative number is the same as adding a positive number
4 + 1 = 5
5 = 5 Since this statement is true, (2,-1) is a solution.
a rectangular plot of land measures 40.0 m by 120.0 m, with a parcel 10.0 m by 12.0 m out of one corner for an electrical transformer. what is the area, in meters squared, of the remaining plot?
The area of the remaining rectangular plot of land is 4680m²
Area of rectangle:
Area of rectangle means the area covered by the rectangle.
The formula for area of rectangle is
A = l x b
where,
l is the length of the rectangle
b is the breadth or width of the rectangle
Given,
A rectangular plot of land measures 40.0 m by 120.0 m, with a parcel 10.0 m by 12.0 m out of one corner for an electrical transformer.
Here we need to find the remaining area of the rectangular plot land.
For that first, we have to find the area of each separately,
Like,
The area of the rectangular plot is,
A₁ = 40.0 x 120.0 m²
A₁ = 4800m²
Similarly, the area of the electric transformer is,
A₂ = 10.0 x 12.0 m²
A₂ = 120m²
Now the remining area is,
A = A₁ - A₂
A = 4800 - 120 m²
A = 4680m²
Therefore, the area of the remaining rectangular plot is 4680m².
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How can you use surveys, experiments and observational studies to make inferences about a population?
Surveys, Experiments, and Observational studies are some common methods of data collection in statistical studies that involve people.
A survey is a means to gather information about a group of individuals by asking some of them to respond to questions. A survey may require participants to fill out forms, respond to online questionnaires, take part in in-person interviews, or respond to questions over the phone.
In an experiment, as opposed to an observational study, different treatments are purposefully applied to several groups, and the groups are then compared to see whether there are any differences in a certain variable of interest termed a response. Researchers can determine whether various treatments have distinct effects by using a well-designed experiment.
In an observational study, a researcher utilizes data from observations to learn about a group of people. Aside from assessing their replies, the people being watched are particularly not hampered.
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Determine whether the statement is true or false if x=8, y=2 , and z=3 .
x+y>z+y
Given that x = 8, y = 2, and z = 3, the inequality x + y > z + y is true.
Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.
To check if the inequality x + y > z + y is true when x = 8, y = 2, and z = 3, plug in or substitute the value of each variable to the inequality and evaluate.
x + y > z + y
8 + 2 > 3 + 2
10 > 5
Since 10 is greater than 5, the given values satisfies the inequality, then the statement is true.
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r. gao and a. j. kleywegt. distributionally robust stochastic optimization with wasserstein distance. arxiv preprint arxiv:1604.02199, 2016.
Distributionally robust stochastic optimization (DRSO) is a framework for decision-making problems under certainty, which finds solutions that perform well for a chosen set of probability distributions.
Review on r. gao and a. j. kleywegt. distributionally robust stochastic optimization with wasserstein distance -
A paradigm for decision-making under certainty called distributionally resistant stochastic optimization (DRSO) seeks solutions that function well for a specified set of probability distributions. There have been many different methods offered for describing a set of distributions. The decision is significant since it has an impact on the outcomes, and the relative effectiveness of various options depends on the traits of the issues. In this study, we take into account issues where various random variables show some degree of reliance, but the precise values of the parameters describing the dependence are unknown.We also get the DRSO problem in a dual reformulation. The formulation also has the advantage of avoiding a problem related to the one-sided moment constraints in moment-based DRSO issues, which is a desirable result.Learn more about DRSO
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matt is five years older than twice his cousin andy’s age. the sum of their ages is less than 35. let x represent andy's age. which inequality represents andy’s possible age? 0
The inequality: y < 10 represents Andy's age.
What is an inequality?Inequality refers to a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given:
Matt is five years order than twice Andy's agesum of their ages < 35x = Andy's ageTo find: Inequality that represents Andy's possible age.
Finding:
Let y = Andy's age
According to the question,
x = 2y + 5
x + y < 35
=> 2y + 5 + y < 35
=> 3y < 30
=> y < 10
Hence, the inequality: y < 10 represents Andy's age.
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So i am have homework and it is asking me to show the ratios are equivalent by simplifying any 4 of them and i am stuck in that one i don't understant that can you help me pls can u explain me
The ratios are shown equivalent as by simplification done below.
Ratio is the representative of comparison of part of things in a complete thing. Equivalent ratios are collection of ratios that show same comparison. As per the given question, the equivalent ratios are calculated as follows -
First column -
Ratio = 6:2
Dividing both the parts of ratio by 2
Ratio = 3:1
Second column -
Ratio = 9:3
Dividing both the parts of ratio by 3
Ratio = 3:1
Third column -
Ratio = 12:4
Dividing both the parts of ratio by 4
Ratio = 3:1
Fourth column -
Ratio = 15:5
Dividing both the parts of ratio by 5
Ratio = 3:1
Similarly, for rest of the columns, division by 6, 7 and 8 of both parts of ratio will give the result 3:1. Hence, the given rations are shown as equivalent ratios, by simplifying into 3:1.
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Find the square root of 0.81
A. 0.009
B. 0.09
C. 0.9
D. 9
Answer: C. 0.9
I used a caculator.
Cuánto es 15–4(n–2)=27
Answer:
tu respuesta es -1
Step-by-step explanation:
15-4(n-2) =27
15-4n+8=27
15-4n+8=27
23-4n=27
-4n+23=27
-4n+23-23=27-23
-4n=27-23
-4n=4
[tex]\frac{-4}{4} \frac{4}{4}[/tex] =-1
The edge of a circular flower bed, 320 ft in diameter, needs mulch. How many cubic
yards (yd³) of mulch do you need if you want the mulch to cover 2 ft in from the edge to a
depth of 3.5 inches, all the way around
868.34 cubic yards (yd³) of mulch is needed to cover 2 ft in from the edge to a depth of 3.5 inches,
To calculate square feet for a circular area, measure the distance from the center of the bed to the outer edge (this is the radius R) .Then area is given by square meters of circular area = [tex]R\times R\times\ 3.14[/tex] ....(1)To determine the amount of mulch you need 1. Multiply the square feet of your bed by the number of inches of mulch you want to deep . 2. Divide this number by 324 . You will get the amount of mulch you need in a cubic yard.It is given that a circular flower bed, 320 ft in diameter which means radius[tex]=\frac{320}{2}= 160 \ ft[/tex]
Putting r = 160 in equation (1) , we get
[tex]A=160\times160\times3.14\\A=80384 \ ft \ sqaure \ units[/tex]
We need the mulch 3.5 inches deep
[tex]80384\times3.5=281344[/tex]
On dividing the above number by 324 , we will get the required cubic yards [tex]\frac{281344}{324} =868.34[/tex]
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26 divided by 7,254 i need help
Answer:
279, Remainder 0
Step-by-step explanation(Using long division):
[tex]72 - 52(26 \times 2) = 20\\20(5) - 182(26 \times 7) = 23\\23(4) - 234(26 \times 9) = 0(Remainder)\\= 279\\= R=0[/tex]
The width of a rectangle is five less than three times the length of the rectangle. If the perimeter of the rectangle is 70 inches what are the dimensions of the rectangle?
Step-by-step explanation:
Do you mean width equal 5
What’s this I don’t understand
Answer:
16/725
Step-by-step explanation:
Olumide plays the piano and quitar. for every five minutes of piano practice, he spends 8minutes practicing guitar. how many minutes will olumide practice piano if he spends 64 minutes practicing guitar
Total time Olumide spends practicing piano is 40 minutes.
For every five minutes of piano practice, Olumide spends 8minutes practicing guitar.
Total time he spends practicing guitar = 64 minutes
We need to divide 64 by 8 to get the number of times he plays guitar.
The number of times he plays guitar = 64 / 8 = 8
According to question, he plays guitar after every piano practice.
So, The number of times he plays piano = The number of times he plays guitar = 8
Each time he practice piano for 5 minutes. So,
Total time he spends practicing piano = 8 × 5 = 40 minutes.
Total time Olumide spends practicing piano is 40 minutes.
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Convert 99 grams into pounds. Round your answer to the nearest hundredth.
Convert 99 grams into pounds is 0.22.
In the US, the pound is the unit of mass that is utilized. It is symbolized by the letter lbs. Therefore, we must calculate the estimated number of grams in a pound. Both pounds and grams can be converted into one another as units of mass.
Since both systems of units may carry the same mass, the fundamental conversion rate between pounds and grams is crucial for international trade. Because just writing the numbers makes no sense, units should always be written after the final solution has been evaluated. The method of transposition may be used to discover the conversion of a given number of values from one unit to another by multiplying or dividing both sides of the equation by the same number.
Covert the unit = 99 gram
99 gram = 0.218258 pound
Rounding the converted number is 0.22.
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) Find the value of x.
V
X+2
91°
44°
Step-by-step explanation:
remember, the sum of all angles in a triangle is always 180°.
and the sum of all angles around a single point on one side of a line is also always 180° (because that line is like a diameter of any circle with that point as center, and half a circle is 180°).
3)
the third inner angle of the triangle is
180 = 63 + 51 + angle = 114 + angle
angle = 66°.
x = 180 - 66 = 114°
4)
the third inner angle of the triangle is
180 = 86 + 45 + angle = 131 + angle
angle = 49°
x + 30 = 180 - 49 = 131°
x = 101
Gogglejaws can eat 36 fish in one minute.
How many fish could Gogglejaws eat in 2.2
hours?
Answer:
3752
Step-by-step explanation:
there are 60 minutes in an hour so multiply 2.2 times 60
2.2 • 60 = 132 minutes
132 min • 36 fish = 3752
Any genius willing to help :) , I'll give you a brainliest if you do.
Answer:
00
Step-by-step explanation:
there are 11 books on a shelf. 9 of these books are new. the rest of them are used
Hiroshi and Giulio share a common investment goal and once they reach their goals, they will withdraw their money.
Giulio starts out with 3
3
times as much money as Hiroshi and it takes Hiroshi 5
5
times longer than Giulio to reach this goal.
They both use the same bank that provides a 5
5
% annual interest rate compounded quarterly.
Work out how long it takes Hiroshi to reach his investment goal?
Give your answer correct to the nearest year.
It takes Hiroshi 30 years to reach his investment goal.
The formula for calculating the amount received on the principal amount (P) after t years at r% rate of interest is-
Amount = P(1 + r/100)^t
Let the principle amount with Hiroshi be P
then, the amount that Giulio starts with = 3P
Let time period for Giulio's investment = t
Then, the time period for Hiroshi's investment = 5t
Rate = 5%
As the investment goals of both the people are equal, they will get the same amount.
Therefore, we get the following equation-
P(1 + 20/100)^5t/4 = 3P(1 + 20/100)^t/4
(1 + 20/100)^5t/4 = 3(1 + 20/100)^t/4
[(1 + 20/100)^5t/4] /[(1 + 20/100)^t/4] = 3
(1 + 20/100)^(5t/4- t/4) = 3
(1 + 20/100)^(4t/4) = 3
(1 +0.2)^t = 3
(1.2)^t = 3
Taking log on both sides-
Log (1.2)^t = log 3
t log 1.2 = log 3
t = log 3/ log 1.2
t = 6.025
Time taken by Hiroshi to reach his investment goal = 5t
= 5(6.025)
= 30.128
Thus, it takes Hiroshi 30 years to reach his investment goal.
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NEED HELP FAST, GIVING AWAY 99 POINTS.
Evaluate the numerical expression.
3/2 − (−1/4)
A -1/2
B -3/2
C 7/4
D 4/5
Answer:
The answer is C. 7/4 :)
i don’t get it help i need to understand it kinda confusing please help me if u don’t i’ll fail
Answer: Brainliest? It's a lot of questions
Step-by-step explanation:
7) 20*50 = 1000
8) 10^2 = 100
20*6=120
120>100
Yes, she will finish the reading in time because she will read 20 pages more than needed.
9) 10 x 20 x 30 x 40 = (1 x 10) x (2 x 10) x (3 x 10) x (4 x 10)
=(1 x 2 x 3 x 4) x (10 x 10 x 10 x 10)= 24 x 10000 = 240000
10) Called different things different places do yourself
11) (10^3 x 12) + (10^2 x 35)
=(1000 x 12) + (100 x 35)
=12000+3500
=15500
Your friend has $100 when he goes to the fair. he spends $10 to enter the fair and $20 on food. rides at the fair cost $2 per ride. which function can be used to determine how much money he has left over after x rides? f(x) = −2x 70 f(x) = 2x 70 f(x) = −2x − 70 f(x) = −30x $100
The function which can be used to determine the amount of money he has left over after x rides is f(x)=-2x+70.
This function is linear. A linear variable function can be written in the form of y=f(x)=a+bx, where a and b are integers and x, is the variable. This function has one independent variable and one dependent variable. In the above given function y=f(x)=a+bx; y is the dependent variable and x is the independent variable.
Here since x number of rides are taken and the cost per ride is x so the total cost of x rides is given as 2x.
Since there is a total of $100 and an amount of ($10+$20=$30) is spent on entry and food respectively.
Therefore, total amount left after all the expenses can be expressed as:
f(x)=100-(30+2x)
f(x)=70-2x
f(x)=-2x+70
Therefore, function which can be used to determine the amount of money he has left over after x rides is f(x)=-2x+70.
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