on dividing 100 by 200 we get answer as 0.5 or we can also write it as 1/2 in fraction.
What is division?
Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group.
The fundamental goal of division is to produce equal groups or to ascertain how many individuals are in each category following a fair distribution.
To divide 12 donuts into three similar groups in the aforementioned case, you would need to put four doughnuts in each group. Consequently, 12 divided by 3 will equal 4.
We need to find 100/200,
on solving this division problem we get answer as 1/2 (in fraction) or 0.5 (in decimal).
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a ball is thrown up vertically. after t seconds, it's height (in feet) is given by the function h (t)=96t-16t^2 . after how long will it reach its maximum height
The time taken to reaches its maximum height is 3s.
In the question,
It is given that,
Height, h(t) = [tex]96t - 16t^{2}[/tex]
The maximum value of the function is obtained if the first derivative of the function h (t) = 0.
[tex]\frac{dh(t)}{dt} = 96 - 32t = 0[/tex]
⇒ [tex]t = 3[/tex]
So, time taken to reach its max height is 3 seconds.
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what percent of factors of 21! are odd?
Step-by-step explanation:
here's the answer, all of them
Consider Z=x^3-8
A) Find the real root of Z.
B) Write Z as a product of linear terms.
Using the formula, the real of z is 2 and the linear form of z is [tex](x-2)(x^2+2x+4)[/tex].
In the given question,
The given expression is z=x^3−8
We can given expression as [tex]x^3-8=(x)^3-(2)^3[/tex]...............(1)
We have to find the real root of the z.
We also have to find the z as a product of linear terms.
To solve the given expression using the formula
[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]
If we compare equation 1 to the [tex]a^3-b^3[/tex].
After compare we get a=x and b=2
Now the linear form of the given expression is
[tex]z=(x)^3-(2)^2[/tex]
[tex]z=(x-2)(x^2+2x+(2)^2)[/tex]
Simplifying
[tex]z=(x-2)(x^2+2x+4)[/tex]
Now the real root of of z;
x-2=0
x=2
Hence, the real of z is 2 and the linear form of z is [tex](x-2)(x^2+2x+4)[/tex].
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I need help with this assignment.
Answer: over budget by $64
Step-by-step explanation:
$99 coat
$75 Shoes
$240 tv
Total=414
total-budget=
Budget =$350
414-350
= 64
The length of a rectangle is 26 meters and the width is 1 meters. Find the area. Give your answer without units.
The area of the rectangle is 26 square meters.
Area of a rectangleFrom the question, we are to determine the area of the described rectangle.
The area of a rectangle can be determined by the formula
A = l × w
Where A is the area of the rectangle
l is the length of the rectangle
and w is the width of the rectangle
From the given information,
l = 26 meters
w = 1 meter
Thus,
Area = 26 × 1
Area = 26 square meters
Hence, 26 square meters is the area of the rectangle.
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A quadratic function subtracted from a cubic function is a cubic function? True or False
Add example problem:
When quadratic function is subtracted from cubic function, the resultant equation is cubic.
So, It is true.
What is function?Function is defined as, In any equation of two variable, we make change in one accompanied by second.
For example, [tex]F(x)=2x+1[/tex] when we make changes in x , different values of y will obtain.
what are Quadratic and Cubic function?Quadratic function in which maximum power of variable is two. Similarly, the function which has maximum power on variable is three is called cubic function.
To solve the given problem, let suppose we have,
Quadratic function:[tex]f(x)=x^{2} +x+1[/tex]
Cubic function: [tex]g(x)= x^{3}+x^{2} +x+1[/tex]
According to question,
Subtract quadratic function from cubic function,we get
[tex]g(x)-f(x)=( x^{3}+x^{2}+x+1)-(x^{2} +x+1 )[/tex]
⇒ [tex]h(x)=x^{3} +1[/tex]
It is a cubic function.
Thus, given statement is True.
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Solve using substitution.
x = –6
x − y = –5
Fill in the blanks below in order to justify whether or not the mapping shown represents a function.
It is a function because the mapping .
(A) Due to the fact that there are no two values in Set B that have only one value in Set A mapped to them, the mapping diagram above represents a function.
(B) A function's very special property is that it associates one output with each input.
(C) Set A represents the domain, whereas Set B represents the range. Therefore, there would be exactly one value in the range that was unique for each value in the domain and would be present for each value in the domain.
What are functions?In mathematics, a function from a set X to a set Y assigns each element of X exactly one element of Y. The subsets X and Y are referenced to as the function's domain and codomain, correspondingly. A function is described as a relationship between a group of inputs with one output each. A function is, to describe it simply, a connection between inputs in which each input is associated to exactly one output. Every function has a domain and a codomain, or range. A function is a type of rule that produces one output from one input. Y=X2 is a good illustration of this. Any input for x yields a single output for y.
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10. Chelsea had completed 2/3 ofa 5-mile race when
her shoelace came untied. How many miles had
Chelsea completed at that point?
Answer:
3.3 miles with a bar notation on decimal 3
Step-by-step explanation:
convert 2/3 to decimal (2 divided by 3)
multiply 5 by decimal of 2/3
add bar notation on repeating decimal
Use the following model to answer the question.
3 groups are shown. Each group shows 2 tens rods and 6 ones cubes.
Which division problem is shown by the model?
Which division problem is shown by the model?
Which division problem is shown by the model?
A.
0
.
66
÷
3
=
0
.
22
B.
0
.
66
÷
3
=
0
.
26
C.
0
.
78
÷
3
=
0
.
62
D.
0
.
78
÷
3
=
0
.
26
Answer: 78 ÷ 3 = 26
Step-by-step explanation:
We are given that there are 3 groups shown. This means we will be dividing by 3.
We are given that each group has 2 ten rods (20) and 6 ones cubes (6). This means the answer is 26.
Lastly, 26 * 3 = 78, meaning we are dividing 78 by 3.
This gives us:
78 ÷ 3 = 26
Find the 14th term of the geometric sequence 1,-5,25
The 14th term of the geometric sequence will be -1220703125.
What is geometric sequence?
The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc.
Geometric Progression (GP), a form of sequence in mathematics, is a series in which each subsequent term is created by multiplying each preceding term by a set integer, known as a common ratio. A geometric sequence of integers that follows a pattern is another name for this development.
[tex]1*(-5)^{13}[/tex]The terms are given, 1,-5,25
a = 1
r = -5/1 = -5
The 14th term will be= [tex]ar^{13}[/tex]
= [tex]1*(-5)^{13}[/tex]
= -1220703125
Hence, the 14th term of the geometric sequence will be -1220703125.
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Langston wrote an expression with a value of -21. Which of the following expressions could Langston have written?
O-20-(-1)
O-25-4
O-24 +3
O-19+2
The expression that Langston have written -24 +3.
Expression:
Expression refers the finite combination of symbols that is well-formed according to rules that depend on the context and it consists of numbers, mathematical operations etc.
Given,
Langston wrote an expression with a value of -21.
Here we need to find the expression that could Langston have written.
In order to find the correct expression we have to solve each and every one in the options,
When we take the first expression
-20 - (-1)
Which is equal to
=> -20 + 1
When we simplify it then we get
=> -19
Then the second one is simplified as,
=> -25 - 4 = -29
And the third one given the value of
=> -24 + 3
=> -21
Therefore, this one is the correct expression and this one is taken by Langston.
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What is the difference between communism and capitalism
Answers
The primary difference explained in capitalism vs communism is that capitalism is an economic system that allows private ownership and promotes the idea of a free market; in contrast, communism favours collective ownership and restricts the free market with government intervention portraying a planned economy.
Explanation
What is Capitalism?
Capitalism occurs when people are allowed to own and control capital assets, use them according to their self-interest, and earn profit by producing valued goods and services utilizing capital resources. In a capitalist economy, government intervention will be minimal; hence, the production of goods and services is driven by supply and demand. It creates an environment that promotes individualism, innovations, competition, efficient allocation of resources, the efficiency of the private sector, presenting consumers with better choices, and improving living standards. capitalism vs communism.
On the other hand, capitalism is often blamed for favouring the rich. The opponents of the system advocate that in capitalism, the rich get richer and the poor get poorer instigating the unequal distribution of wealth and inequality, creating social division. Moreover, in the wake of producing profit, the capitalist model exploits the workers, and unfair competition can also lead to the emergence of monopolies in specific sections. All these disadvantages communicate the need for the reformation of capitalism.
What is Communism?
Communism ideology aims to establish common ownership and eliminate the private property concept. It simply focuses on replacing private ownership and introducing state-owned organizations, projects, resources, and properties, ensuring economic equality and fairness. Such economies work towards achieving social development, welfare, and the overall development of all the citizens of a nation.
China has long been a significant example of a communist government where the government-controlled major resources, funds, products, and services, but later due to globalization and certain other aspects, has started implementing some elements of capitalism to grow business and take advantage of trade opportunities. Similarly, it has been observed that many nations turn their heads toward capitalism to obtain more opportunities, attain industrialization, and reap the benefits of globalization hence strengthening the capitalism vs communism debate.
Capitalism and communism are inherently contrasting concepts. While capitalism propagates individualism, communism is associated with collectivism. Industrial capitalism was popularised in the 18th century, and modern communism was propagated in the 19th century.
The instances reflecting the conflict based on these ideologies were prevalent from the old times. For example, ideological conflict, and capitalism vs. communism in the Cold War of the 20th century. During the Cold War, the United States and Western European nations were based on capitalism and democracy. In contrast, the Soviet Union was based on communism and dictatorship, and Eastern European nations were under Soviet communist control. Many of the significant events in the Cold War contributed to explaining whether capitalism was better than communism or not.
Solve the absolute value equation (3x-6)=12.
O a
Ob
Oc
Od
x=6,x=2
▸
x=-6, x=-2
x=6₂x=-2
x=-6₂x=2
The solution of the absolute value equation |3x - 6| = 12 is x= 6 and x = -2
The absolute value equation is
|3x - 6| = 12
We can write the absolute value equation in two ways
3x - 6 = 12
-(3x - 6) = 12
We have to solve each equation
The first equation is 3x - 6 = 12
3x - 6 = 12
3x = 12+6
3x = 18
x = 18/3
x = 6
The second equation is -(3x - 6) = 12
Apply the distributive property
-3x + 6 = 12
-3x = 12 - 6
-3x = 6
x = 6/-3
x = -2
Hence, the solution of the absolute value equation |3x - 6| = 12 is x= 6 and x = -2
The complete question is:
Solve the absolute value equation |3x - 6| = 12 .
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Which graph represents the polynomial function?
The graph which represents the polynomial function f(x) = x^3 - 2x^2 - 5x + 6 is in option A.
First, let us understand the polynomial function:
A polynomial function is one that uses only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on. For example, 9y + 6 is a polynomial with an exponent of 1.
We are given:
f(x) = x^3 - 2x^2 - 5x + 6
We know that, when the graph intersects the x-axis, it satisfies the equation that is f(x) = 0 at that point.
Let us check the points one by one;
Option A;
The graph intersects the x-axis at -2, 1, and 3 it should satisfy the equation f(x) = 0.
Let's put x = -2 in f(x), we will get;
f(-2) = -2^3 - 2(-2)^2 - 5(-2) + 6 = -8 - 8 + 10 + 6 = -16 + 16 = 0
f(-2) = 0.
Let's put x = 1 in f(x), we will get;
f(1) = 1^3 - 2(1)^2 - 5(1) + 6 = 1 - 2 - 5 + 6 = 7 - 7 = 0
f(1) = 0.
Let's put x = 3 in f(x), we will get;
f(3) = 3^3 - 2(3)^2 - 5(3) + 6 = 27 - 18 - 15 + 6 = 33 - 33 = 0
f(3) = 0.
So, the points -2, 1, and 3 satisfy the equation f(x).
Thus, the graph which represents the polynomial function f(x) = x^3 - 2x^2 - 5x + 6 is in option A.
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2÷7756
Find the quotient.
77.56 divided by .2 = ?
By division, the following results are obtained
[tex]2 \div 7756\\[/tex] = 0.0025
[tex]77.56 \div 0.2 = 387.8[/tex]
What is division?
Division is the process by which value of single unit can be calculated from the value of multiple unit.
The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula for division
Divisor x Quotient + Remainder = Dividend.
The quotients of the two divisions are shown below-
[tex]2 \div 7756\\[/tex] = 0.0025
[tex]77.56 \div 0.2\\7756 \div 20 \\387.8[/tex]
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Fine the slope of the line and use rise/run to fill in the blanks
Answer: Rise is 5 and run is 1 and now that is equal 5
Step-by-step explanation:
Ann’s bakery bakes 450 loaves of bread in 3 days marks bakery 560 loaves of bread in 4 days which bakery bakes bread at faster rate
Answer: Marks bakery
Step-by-step explanation:
divide 450 by 3 = 150 loaves of bread Ann baked per day
divide 560 by 4= 140 loaves of bread Mark bakes per day
Thus Marks bakery bakes bread at a faster rate.
What is 624×8 please answer this
The cost to rent a frozen yogurt machine is $150 per day plus $25 per hour of use.
Which inequality can be used to determine the maximum number of hours h the
frozen yogurt machine can be used if the rental cost for the day will not exceed $300?
The inequality that can be used to determine the maximum number of hours h the frozen yogurt machine can be used if the rental cost for the day will not exceed $300 is 150+25h ≤300.
According to the question,
We have the following information:
The cost to rent a frozen yogurt machine is $150 per day plus $25 per hour of use.
And h represents the number of hours.
So, we have the following expression to find the total cost:
150+25h
Now, it is given that the total rental cost should not exceed $300.
So, we have the following inequality:
150+25h ≤300
Hence, the correct option is C.
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evaluate the expression
SIN² 225° - COS² 270° + TAN ² 60°
[tex] = ( \sin(180 + 45) )^{2} - ( \cos(180 + 90) )^{2} + ( \frac{ \sqrt{3} }{1} )^{2} \\ = ( - \sin(45) )^{2} - ( - \cos(90) )^{2} + 3 \\ = ( - \frac{1}{ \sqrt{2} } ) ^{2} - ( \frac{0}{1})^{2} + 3 \\ = \frac{1}{2} - 0 + 3 \\ = \frac{1}{2} + 3 \\ = \frac{7}{2} [/tex]
ATTACHED IS THE SOLUTION
NEED HELP ASAP!! ( NEED DONE WITHIN THREE MINS OF POSTING)
Answer: i am not positive but i think 2.5 on x and 9, and 27 on y
Step-by-step explanation: just want to help asap
What is the quotient of
15y^3+ 28y^2+ 7y-6 / 5y+6?
Answer: The quotient is 3y² + 2y - 1.
Step-by-step explanation:
You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.
1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.
3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.
2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.
3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.
Convert the height of a person who is 5.2 feet tall to centimeters. Include the inches-centimeter conversion
factor. Use the table given to create conversion factors. Show all conversion factors needed.
Round final answer to 2 decimal places if needed. The setup below should look like the typical dimensional
analysis that you learned.
The height of the 5.2 feet person in centimeters is 158.496 cm.
Explain unit conversion.A conversion factor must be added, subtracted, multiplied, or divided throughout the multi-step process of unit conversion. Additionally, selecting the appropriate number of significant digits and rounding may be necessary.
Different conversion units are used to quantify various measurements. By definition, unit conversion is the process of converting two measures of the same quantity between distinct units by multiplying or dividing them.
In mathematics, conversion is the process of changing a value's form, such as from millimeters to inches or liters to gallons. Units are used for measurements of length, weight, capacity, temperature, and speed.
Given,
Height of a person = 5.2 feet.
The conversion between inches and centimeters must also be included.
First, convert feet to inches.
1 foot = 12 inches
Converting the given height to inches,
Height = 5.2 × 12
= 62.4 inches
Now, we will convert the height into centimeters,
To convert, we will multiply by 2.54
Height = 62.4 × 2.54
= 158.496 cm
Therefore, the height of the person in centimeters is 158.496 cm
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6(x-6)+2=8x-12 what does x=??
Answer:
-11
Step-by-step explanation:
6(x-6)+2=8x-12
6x-36+2=8x-12 First take care of the parenthesis
6x-34=8x-12 then combine numbers
-2x-34=-12 Subtract 8 from both sides
-2x=22 Add 34 to both sides
x= -11 Divide by -2 on both sides
Answer:
Step-by-step explanation:
Solution
Steps
6(x−6) +2 = 8x−12
Expand by applying the distributive law: a(b−c)=ab−ac
6(x−6)=6x-36
6x−36+2 = 8x−12
6x−34 = 8x−12
Add 34 to both sides
6x−34+34=8x−12+34
Simplify
6x=8x+22
Subtract 8x from both sides
6x−8x=8x+22−8x
Simplify
−2x=22
Divide both sides by −2
x=−11
NO LINKS!! Please help me with these graphs
Answer:
See below.
Step-by-step explanation:
Each of the graphs shows a line segment, but because of the arrowheads, each situation is different.
Left graph.
The line segment has a point at each end. The graph is of just the line segment shown.
The lowest x-coordinate is -4.
The greatest x-coordinate is 3.
The lowest y-coordinate is 2.
The greatest y-coordinate is 5.
Domain: -4 ≤ x ≤ 3
Range: 2 ≤ x ≤ 5
In interval notation:
Domain: [-4, 3]
Range: [2, 5]
Middle graph.
The line segment has a point at the right endpoint but an arrowhead at the left. The graph is a ray that starts at point (2, 2), goes through point (-4, 5) and keeps going forever past point (-4, 5) in the direction of the segment.
The lowest x-coordinate is -∞.
The greatest x-coordinate is 2.
The lowest y-coordinate is 2.
The greatest y-coordinate is ∞.
Domain: x ≤ 2
Range: x ≥ 2
In interval notation:
Domain: (-∞, 2]
Range: [2, ∞)
Right graph.
The line segment has an arrowhead at each end. The graph is a line that includes the line segment shown. A line has no beginning and no end; therefore, it goes on in both directions forever.
The lowest x-coordinate is -∞.
The greatest x-coordinate is ∞.
The lowest y-coordinate is -∞.
The greatest y-coordinate is ∞.
Domain: all real numbers
Range: all real numbers
In interval notation:
Domain: (-∞, ∞)
Range: (-∞, ∞)
Answer:
1. Domain: [-4, 3] Range: [2, 5]
2. Domain: (∞, 2] Range: [2, ∞)
3. Domain: (-∞, ∞) Range: (-∞, ∞)
Step-by-step explanation:
Domain: The set of all possible input values (x-values).
Range: The set of all possible output values (y-values).
An open circle indicates the value is not included in the interval.
A closed circle indicates the value is included in the interval.
An arrow shows that the function continues indefinitely in that direction.
Note: Assume that each square on the given graphs is 1 unit.
Question 1
There are closed circles at both endpoints of the line: (-4, 2) and (3, 5).
Therefore, the values are the endpoints of the intervals.
Domain: [-4, 3]Range: [2, 5]Question 2
There is a closed circle at (2, 2).
There is an arrow at one endpoint, so as x → -∞, y → ∞.
Domain: (∞, 2]Range: [2, ∞)Question 3
There are arrows at the endpoints of the line.
Therefore, the domain and range are unrestricted.
Domain: (-∞, ∞)Range: (-∞, ∞)A coin is tossed and a die is rolled. What is the probability of tossing a tail and then rolling a number greater than 5?
A. 5/6
b. 2/3
c. 1/12
d. 1/6
Answer:
the number greater than 5 is only 6 in the case of a coin.
Step-by-step explanation:
in a coin numbers greater than 5 is only 6
probability= No of required outcome/ No of possible outcome.
P.B= 1/6
in a coin there is head or tail
P.B of getting tail
P.B= Tail/Head + Tail
P.B= 1/2
The coin of course, has two sides, heads and tails. Assume we are talking about a six-sided die. Let's look at the individual probabilities.
There are only two sides to the coin, tails being one of them, so:
p(tails) = 1/2
The die goes from 1 to 6. We need to see the numbers that fit the inequality:
p(5 < x ≤ 6)
There is only one integer that is greater than five and less than or equal to six, and that is six. If there is only one number out of six, then:
p(>5) = 1/6
When dealing with probabilities, to determine the probability of two things happening, multiply both probabilities.
1/2 x 1/6 = 1/12
Solve the proportion: 3/x=15/45
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
1 ) Cross-multiply...
[tex]\frac{3}{x}[/tex] ÷ [tex]\frac{15}{45}[/tex]
[tex]3[/tex] × [tex]45 = 15[/tex] × [tex]x[/tex]
[tex]135=15x[/tex]
2 ) Flip the equation...
[tex]15x=135[/tex]
3 ) Divide both sides by 15...
[tex]\frac{15x}{15}[/tex] = [tex]\frac{135}{15}[/tex]
[tex]x = 9[/tex]
Hope this helps! :)
Boxes of Valentine’s Day chocolate truffles come in a variety of sizes. The dimensions of the box you decided to purchase are 15 inches by 12 inches by 1.5 inches. If each truffle in this box has a volume of 2 cubic inches, how many truffles are included in the box?
The no. of truffles than can be included in the box is 135.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, The dimensions of the box you decided to purchase are 15 inches by 12 inches by 1.5 inches.
∴ The volume of the box is,
= (15×12×1.5) inches³.
= 270 inches³.
Given each truffle has a volume of 2 iches³.
∴ No. of truffles than can be included in the box is,
= (270/2).
= 135.
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During a triathlon, Tasneem swims 1/4 of the total route and cycles 3/5 of the remaining route. She runs the rest of the route. If she runs 3600 m, determine the total distance of the triathlon.
The total distance of the triathlon is 12000 m.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Let the total distance of the triathlon be x.
Tasneem swims 1/4of the total route, therefore, she swims for a distance of S = (1/4)x.
Now the remaining route is,
x - (1/4)x
=3/4x
After swimming, she cycles 3/5 of the remaining route, therefore, she cycles for a distance of C = (3/5)×(3/4)x,
C = (9/20)x
Now, she runs for the rest of the route, therefore, she runs for a distance of R = x - (1/4)x-(9/20)x
Or, R = (20x - 5x - 9x)/20
R = (6x)/20
Given that Tasneem runs 3600 m, therefore, substitute R = 3600 into the above equation,
3600 = (6x)/20
(3600×20)/6 = x
12000 = x
Therefore, the total distance of the triathlon is 12000 m.
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