The two expressions for the volume of a cube with a side length of S are:
V = S^3
V = S*S*S
How to express the volume of the cube?A cube is a rectangular prism where the 3 dimensions have the same measure, which we will call the side-length of the cube.
So, if S is the sidelength of the cube, the volume will be given by the product between the product between the dimensions of the cube, and the 3 dimensions measure the same thing, which is S, then:
V = S*S*S
That is the expression without exponents, and the expression with an exponent is really trivial, we have S multiplied by itself 3 times, so we get:
V = S^3
These are the two expressions for the volume.
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Find the perimeter and the area of a figure pls help urgent
The perimeter and the area of the figure are 36 meters and 48 square meters
How to find the perimeter and the area of the figure?Perimeter
This is the sum of the side lengths of the figure
So, we have
Perimeter = 7m + 6m + 7m + 6m + 5m + 5m
Evaluate
Perimeter = 36 meters
Area
This is the sum of the areas of the shapes that makes up of the figure
So, we have
Area = Area of rectangle + Area of triangle
This gives
Area = 7 * 6 + 0.5 * (6/2) * (11 - 7)
Evaluate
Area = 48 square meters
Hence. the perimeter and the area of the figure are 36 meters and 48 square meters
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Evaluate the expression ab, for a = 4 and b = 7.
Answer:
28
Step-by-step explanation:
4 x 7 = 28
█░█░█ █░█ ▄▀█ ▀█▀ █▀ ▀█ ▄█▄ ▀█ ▀█
▀▄▀▄▀ █▀█ █▀█ ░█░ ▄█ █▄ ░▀░ █▄ ░▄
Answer: 54
Step-by-step explanation:
52 + 2 = 54
7) If a = 2, b = 3, c = 4, and d = 12, evaluate 6c-4b
Answer:
12
Step-by-step explanation:
Step1:- substitute the values of a and b in the equation
6(4)-4(3)
Step2:- solve the expression
6(4)=6×4=24
4(3)=4×3=12
so 6(4)-4(3)=24-12= 12
I am thinking of a decimal number less than one. The hundredths digit is four times more than the tenths digit. The sun of the tenths and hundredths digit is 10. What number am I thinking of?
Answer:
The number would be 0.28.
here, in tenths position is 2 and in hundredths position is 8.
so, 8 = 4 x 2
and 8 + 2 = 10.
How can you increase your efficiency in solving mathematical problems?
Answer:
Solving Math equations helps work on the left side of your brain which is in charge of receiving information. Whether you’re performing a logical or creative function, you’re receiving input from both sides of your brain. For example, the left brain is credited with language, but the right brain helps you understand context and tone. The left brain handles mathematical equations, but the right side of the brain helps out with comparisons and rough estimates.
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Find m
A)36
B)80
C)56
D)44
E)124
Answer:
44
Step-by-step explanation:
vertical angles
T
Introduction to permutations and combinations
Suppose we want to choose 3 letters, without replacement, from the 4 letters A, B, C, and D.
(a) How many ways can this be done, if the order of the choices is relevant?
0
(b) How many ways can this be done, if the order of the choices is not relevant?
0
X
we get that if choices matter then there is only 1 way and if the choices do not matter, then there are 24 ways to choose from the given 4 letters by using permutation.
We are given four letters:
A, B, C and D
We need to choose 3 letters from it without replacement.
(a) If the order of choices matter, then there would only be 1 way to choose the letters.
(b) If the order of choices do not matter , then by permutation, we get that:
The number of ways of choosing = 4 × 3 × 2
Ways = 24 ways.
Therefore, we get that if choices matter then there is only 1 way and if the choices do not matter, then there are 24 ways to choose from the given 4 letters by using permutation.
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It's possible to build a triangle with side lengths of 3,3,and 9
It's not possible to build a triangle with side lengths of 3,3,and 9.
How to illustrate the information?It should be noted that to compute a triangle, the addition of the shortest sides must be longer than the longest side.
In this case, 3 + 3 = 6
But the longest side is 9 and it's longer than 6.
Therefore, it's not possible to build a triangle with side lengths of 3,3,and 9.
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It's possible to build a triangle with side lengths of 3,3,and 9
True or false?Choose all expressions that are equal to 16.02. #1 16 +0.02, #2 3.42 +8+4.6, #3 16.01 +1, #4 12.06 +3.14, #5 7.36 +8.66
Expression number #1, #2 and #5 are equal to 16.02 in the given question.
As per the question statement, we have to choose all expressions that are equal to 16.02
The options are
[tex]16+0.02[/tex][tex]3.42+8+4.6[/tex][tex]16.01 +1[/tex][tex]12.06+3.14[/tex][tex]7.36+8.66[/tex]Lets verify #1
[tex]16+0.02 = 16.02[/tex]
Hence verified.
Lets verify #2
[tex]3.42+8+4.6=16.02[/tex]
Hence verified
#3
[tex]16.01+1=17.01\neq 16.02[/tex]
#4
[tex]12.06+3.14=15.2\neq 16.02[/tex]
#5
[tex]7.36 +8.66=16.02[/tex]
Hence verified
Therefore from the above, conclusion can be made that Expression number #1, #2 and #5 are equal to 16.02 in the given question.
Algebraic expressions: In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)To learn more about number system, click on the link given below:
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Which phrase best completes the diagram?
Globalization
?
A. More unequal distribution of natural resources
B. Improved incomes for poor people in all countries
C. Decreased competition for small businesses
OD. Decreased demand for natural resources
The phrase that best relates to the term "Globalization" is "Improved incomes for poor people in all countries".
As per the question statement, we are provided with the term of "Globalization" and we are required to match it with the best possible phrase from the four options provided.
Option (A) is "More unequal distribution of natural resources" which is incorrect because unequal distribution does not depend on globalization but on the size of the company and their effects on the environment.
Option (C) is "Decreased competition for small businesses" which is incorrect because this will increase the competition for small business.
Option (D) is "Decreased demand for natural resources" which is incorrect, since globalization speeds up the exchange of capital-labor production which requires more natural resources rather than their decrease.
Option (B) is "Improved incomes for poor people in all countries" which is the correct match, because globalization's main character is economic growth which directly affects the totally population of a country including the poor as the country becomes open to trade and then tends to work faster than the time when it was not open to trade, and this creates job opportunity for the people and helps in increasing the living standard of the people.
Hence, the best possible match to the term "Globalization" is "Improved incomes for poor people in all countries".
Globalization: As the name itself suggests, Globalization is the process of interaction and integration among people, companies, and governments worldwide for the development of international trade, economy and harmony.To learn more about Globalization, click on the link below.
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Answer:
More unequal distribution of natural resources
Step-by-step explanation:
On the last three physics exams a student scored 85, 87, and 91. What score must the student earn on the next exam to have an average of at
Least 90?
If you want to have an average of at least 90, the score that you need to get in the last exam is at least 97 points.
What score must the student earn on the next exam to have an average of at least 90?
We know that the scores on the first 3 exams are 85, 87, and 91.
If the score in the fourth exam is x, then the average of the 4 exams will be:
(85 + 87 + 91 + x)/4
If we want to have an average of at least 90, then we need to solve:
(85 + 87 + 91 + x)/4 = 90
Solving that for x we will get:
(263 + x) = 90*4
x = 90*4 - 263 = 97
The score that you need to get in the last exam is 97 points.
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-16 x 3/4 =
A. -12
B. 1/2
C. -1/12
D. 12
A.-12
-16 * 3/4
-48/4
-12
6. Solve the inequality.
-10 ≤ 2x-4<8
о
-8
-3
-3≤x<6
-1
Answer:
Step-by-step explanation:
6 + 4|2x + 6| = 14
Solve for x
Answer:
x = -1
Step-by-step explanation:
6+4 = 10
14-10 = 4
2x + 6 = 4
2x (-2) = -2
-2 + 6 = 4
Which number is rational and a real number, but not an integer?
OA. -5
O B. 9/
517
C. There is no such number.
OD. √
517 is real because it can be plotted on a number line.
What in math is an integer?
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.Which a real number?
Both rational and irrational numbers are considered to be real numbers. Real numbers include all rational and irrational numbers, including integers (-2, 0, 1), fractions (1/2, 2.5), and the number 3.9/517 is real because it can be plotted on a number line,
Its rational because it can be written as a fraction of 2 integers
But it is not an integer.
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13. Higher Order Thinking Olivia has $20 to spend. She wants to buy a visor and magnet. The sales tax is $2.21. 1. Use estimation to find out if Olivia has enough money for her purchase. 2. Explain how to find the exact amount of change she will receive. 3. Find the exact amount of change. Show your work.
Answer:
Step-by-step explanation:
$20-$2.21=0.21
Write 7.83 x 10-3 in standard notation
Answer:
0.00783
Step-by-step explanation:
7.83 × 10^-3
Move the decimal point 3 places to the left.
7.83 × 10^-3 = 0.00783
36. THOUGHT PROVOKING
Draw a different figure that
has the same perimeter as
the triangle shown. Explain
why your figure has the
same perimeter.
x+3
3x
2x + 1
A possible figure that has the same perimeter as the given triangle is a rectangle with side lengths, x + 1, x + 1, 2•x + 1, 2•x + 1
Please find attached the drawing of the figure of the rectangle, that has the same perimeter (6•x + 3) as the triangleHow can the perimeter of the triangle be calculated?The perimeter of a two dimensional geometric figure is its total boundary length.
The perimeter is given by the addition of the lengths of all the sides of the figure.
The perimeter, P, of the given triangle is therefore;
P = x + 3 + 2•x + 1 + 3•x = 6•x + 3
The perimeter, P = 6•x + 3
A different figure, drawn, that has the same perimeter as the given triangle (6•x + 3) is a rectangle that has side lengths of x + 1, 2•x + 1, x + 1, and 2•x + 1.
Please find attached the drawing of a rectangle that has a perimeter of 6•x + 3, which is the same as the perimeter of the triangle.
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What is -(9) fourth power
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
[tex]-9^4 = -9 \times -9 \times -9 \times -9 = -6561[/tex]
Find the missing number.
Number of toffees
2
Your answer
4
6
8
Number of children
12
X
36
48
5 points
Answer:
24
Step-by-step explanation:
Each no. of toffee is multiplied by 6 to get the no. of children to have a toffee.
PLEASE HELP ASAP WILL GIVE BRAINLIST 11!
The approximate weights of two animals are 5.36 x 10^4 lbs. and 6.2 x 10^4 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits.
12 x 10^4 lbs.
5.9 x 10^4 lbs.
1.22 x 10^5 lbs.
1.2 x 10^5 lbs.
1. 120,000 lbs
2. 59,000 lbs
3. 122,000 lbs
4. 120,000 lbs
Answer: 1.156 × 10^5
Step-by-step explanation:
5.36 x 10^4
6.2 x 10^4
5.36+6.2=11.56
11.56 x 10^4 = 1.156 × 10^5 (scientific notation)
(2ax2a)+(3bx3b)-(2x2ax3b)
A marine biologist collects coral species from the bottom of a coral reef. The biologist swims to depths of 314 meters, 258 meters, and 412 meters below sea level.
A scuba diver holding a speciment on coral is shown.
Question 1
Part A
Represent these depths as rational numbers, in order from shallowest to deepest.
Part B
Graph these depths and their opposites on the number line.
Answer:
PA The biologist swims to depths of 3 1/4 meters. 2 5/8 meters, and 4 1/2 meters below sea level.
Order the well depths from deepest to shallowest. Strategy. Write the depths as negative numbers . Compare the negative numbers .
Step-by-step explanation:
Write the following expression using a single exponent.
5^0 x 5^5
There are 63 students going on the trip, and you want to divide them up between 15 chaperones with 4 or 5 students in each group. How many groups will have 4 students, and how many will have 5?
There are 12 groups with 4 students and 3 groups with 5 students
How many groups will have 4 students, and how many will have 5?Represent the students as follows:
Group with 4 students = x
Group with 5 students = y
So, we have the following system of equations
4x + 5y = 63
x + y = 15
Make x the subject in x + y = 15
x = 15 - y
Substitute x = 15 - y in 4x + 5y = 63
4(15 - y) + 5y = 63
Expand
60 - 4y + 5y = 63
Evaluate
y = 3
Substitute y = 3 in x = 15 - y
x = 15 - 3
This gives
x = 12
Hence, there are 12 groups with 4 students and 3 groups with 5 students
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Solve this volume based this question brainliest! brainliest! 50 points.
The volumes of the cylinder and cone are calculated using a radius r to give;
The volume of the cylinder and cone combined is (8/3)•π•r³ How can the volumes of the solid figures be calculated?The radius of cylinder = r
Height of the cylinder = 2•r
Radius of cone = r
Height of the cone = 2•r
Volume of the cylinder, Vc = π•r²•(2•r) = 2•π•r³
Volume of the cone, Vco == (1/3)•π•r²•(2•r)
Which gives; Vco == (2/3)•π•r³
The combined volume is therefore;
V = Vc + Vco = 2•π•r³ + (2/3)•π•r³ = (8/3)•π•r³
The volume of the cylinder and cone combined is (8/3)•π•r³Learn more about finding the volume of regular solids here:
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Thor travels 49 miles per hour. How long does it take him to travel 294 miles? Your answer should be in Miles, accurate to at least the nearest tenth.
Answer: I think it's 6 hours. If you do 294 divided by 49 which will give you 6 which means you traveled 294 miles in 6 hours.
What value of x makes this equation true?
F 3
G-9
H -1
J 27
X/3−3 = x/9+
3
Fractions represent parts of a whole or collection of objects. In the above question the value of x is equals to 9
What is a fraction?Fractions represent parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called numerator. It tells how many equal parts of whole or collection are taken. The number below line is called denominator. It shows total number of equal parts the whole is divided into or the total number of the same objects in a collection.
When whole is divided into equal parts, the number of parts we take makes up a fraction.
In the mathematics, there are three major types of fractions. They are the proper fractions, improper fractions and mixed fractions. Fractions are those terms which have the numerator and denominator. Fractions are the terms used to determine parts of a whole object.
[tex]\frac{x}{3}-3= \frac{x}{9} + 3[/tex]
[tex]\frac{x}{3}- \frac{x}{9} = 3+3[/tex]
[tex]\frac{3x}{9}-\frac{x}{9} = 9[/tex]
[tex]\frac{2x}{9}= 9[/tex]
[tex]x=\frac{9*9}{2}[/tex][tex]=9[/tex]
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Round 468.113 to the nearest tenth.
Answer:
468.1
Step-by-step explanation:
good luckkk
Answer:
468.1
Step-by-step explanation:
rounding to the nearest tenth