Can this be a biconditional statement and still be true? : “If a polygon is a square, then it has four sides.”
Answers
No, the biconditional statement isn't true because It's not necessary that if a polygon has four sides, then It will be a square.
What is Biconditional statement?
A statement that combines a conditional statement with its opposite is known as a biconditional statement. So, if and only if the other conditional is also true, the first conditional is true.
Let's elaborate the statement, “If a polygon is a square, then it has four sides.”
We know that a square has four equal sides and So, if a polygon is a square, it must have four equal sides which states that the given statement is true.
But, if we see its converse, "If a polygon has four sides, then it is a square". It is not necessary that the polygon will be a square.
eg. A parallelogram and rectangle also have four sides, So it could either be a parallelogram, rectangle or a square.
Hence, The given statement is correct but the converse of it, is not correct.
So, It can't be called a biconditional statement.
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Related Questions
You and a friend decide to take a road trip. You drive an average speed of 70 mph and your friend drives an average of 75 mph. You want to drive at least 500 miles per day. You also plan to spend no more than 10 hours driving each day. Which of the following is a system of linear inequalities that represents this situation? Let x = number of hours you drive and let y represent the number of hours your friend will drive.
Answers
Given:
your speed = 70 mph
Your friend's speed = 75 mph
You want to drive at least 500 miles per day.
You also plan to spend no more than 10 hours driving each day.
To find:
The system of linear inequalities that represents this situation.
Solution:
Let x be the number of hours you drive and let y represents the number of hours your friend will drive.
You also plan to spend no more than 10 hours driving each day.
\(x+y\leq 10\)
Your speed is 70 mph and your friend's speed is 75 mph. So, the distance covered in x and y hours are 70x miles and 75y miles respectively.
You want to drive at least 500 miles per day. So, the total distance must be greater than or equal to 500.
\(70x+75y\geq 500\)
\(5(14x+15y)\geq 500\)
Divide both sides by 5.
\(14x+15y\geq 100\)
Therefore, the required system of inequalities has two inequalities \(x+y\leq 10\) and \(14x+15y\geq 100\).
Calculate the angular momentum that keeps an 80-kg person sitting on the edge of a horizontal rotating platform when the person sits 2 m from the center of the platform and has a tangential speed of 3 m/s
Answers
Answer:
\(L=480\ kg-m^2/s\)
Step-by-step explanation:
Given that,
Mass of a person, m = 80 kg
The distance from the centre of the platform, r = 2 m
The tangential speed of the platform, v = 3 m/s
We need to find the angular momentum of the person. The formula for the angular momentum is given by :
\(L=mvr\\\\L=80\times 3\times 2\\\\L=480\ kg-m^2/s\)
So, the required angular momentum is equal to \(480\ kg-m^2/s\).
Answer:
Tangential speed is 0.68 m/s
Explanation:
It is given that,
Mass of the beetle, m = 0.023 kg
It is placed at a distance of 0.15 m from the center of record i.e. r = 0.15 m.
If it takes 0.070 n of force to keep the beetle moving in a circle on the record i.e. centripetal force acting on it is, F = 0.070 N
We have to find the tangential speed of the beetle. The formula for centripetal force is given by :
v is tangential speed
v = 0.675 m/s
or
v = 0.68 m/s
Hence, the correct option for tangential speed is (A).
Step-by-step explanation:
a box contains 7 red and 3 green balls. two balls are drawn one after another from the box. determine the probability that both are red
Answers
Red: 7/10
Green: 3/10
On the red branch R and G
R: 6/9
G: 3/9
Why is the 9 there is because it minus off from the first brach causing the number to be 10-1=9
Why in R is 6? (Because its also -1)
But why G is not deducted? (Because the first branch doesn’t have green as it is red)
For the green branch R and G branch out again
R: 7/9
G: 2/9
So the probability of both that are red is:
P(both is red) = 7/10 x 6/9 (refer to legend)
Stephanie needs to buy birthday gifts for her family. She wants to stick to a budget of . $150.She buys a board game for her brother that costs,$49.50 a book for her sister that costs,$19.99 and a toy for her dog that costs.$15.00 She needs to buy a gift for her spouse, but she cannot decide between a watch that costs.$75.00 and a pair of shoes that costs. $59.99
Part A: How much has Stephanie spent on gifts so far?
Part B: How much does Stephanie have left to spend on gifts?
Part C: Which gift should Stephanie buy? Justify your answer.
Answers
part b: she has $65.51 left to spend
part c: stephanie should buy the shoes. it’s better for her to buy the shoes because she doesn’t have enough for the watch (costs $75) and the shoes are cheaper ($59.99).
Answer:
A. 84.50
B. She has 65.5$ left
C. Shoes
Step-by-step explanation:
A. If you add them it is 84.5
B. subtract 150 by 84.5 it is 65.5
C. Shoes because they are within the budget
the area of a triangle is 162 square meters. the height is 18 meters. what is the base
Answers
Answer:
Triangle Area = (1/2) * base * height
base = 2 * Area / height
base = (2 * 162) / 18
base = 324 / 18
base = 18 meters
Step-by-step explanation:
what is the classification of the pair or angles shown?(20 points)
Answers
Answer:
its so blury can you take a screan shot then put it up
Step-by-step explanation:
take a screen shop please
Explanation: When two points cross each other they are vertical
Which of the following is the correct expanded form for the series below?
4
Σ-22
»=0
O-1-2-4-8-16
1-2 + 4-8 + 16
O-2-4-8-16
0-2 + 4 - 8 + 16
Answers
Answer:
-1-2-4-8-16
Step-by-step explanation
The solution is, 1-2 + 4-8 + 16, is the correct expanded form for the series Σ-2^n, n = 0 to 4.
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
given that,
the series Σ-2^n, n = 0 to 4.
now, we have to find,
the correct expanded form for the series ,
as , we get,
the value of n = 0 to 4
so, putting the value of n = 0,1,2,3,4
we get the series as,
Σ-2^n
= -2^0 + (-2)^1 + (-2)^2 + (-2)^3 + (-2)^4
= 1 -2 + 4 - 8 +16
Hence, The solution is, 1-2 + 4-8 + 16, is the correct expanded form for the series Σ-2^n, n = 0 to 4.
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3.
The box-and-whisker plot shown below represents
600 scores on a district geometry te
Answers
150 students scored between 42 and 56 on the district geometry test.
What is box whisker plot?Box whisker plots are used to abstract a collection of data that has been approximated using an interval scale. Just a box plot is another name for it. They are mostly employed while interpreting data. It is one of the graphical approaches that shows how the dataset's data varies from one another. The histogram may be used to display the data as well. Yet a histogram offers a useful presentation. Box and whisker plots are preferable to histograms because they may exhibit numerous sets of data on a single graph, which adds more information.
From the box whisker plot we see that the lower quartile is 42 and the median is 56.
The median represents the 50th percentile whereas lower quartile is 75%.
The difference is:
75 - 50 = 25%.
Now, for 600 scores we have:
25% of 600
= 25/100 (600) = 150
Hence, 150 students scored between 42 and 56 on the district geometry test.
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The bouncy kat toys are manufactured using a layering process. the plastic is
added to the ball one layer at a time, with the radius of each ball increasing at a
rate of 0. 1 inch per second. we have been unable to correctly manage the volume
of plastic flowing into the machine. assuming the machine produces 100 toys at a
time, what is the appropriate flow rate of the plastic (in cubic inches per second)
when the radius of each toy is 0. 5 inch? what should the average flow rate of the
plastic be over each 10-second production cycle?
Answers
The flow rate to produce the balls is 12.5in/s and 1.25in/s
a. The rate flow to produce the ballsThe number of toys = 100
The increase in radius = 1inch/sec
5 toys are going to increase by 0.5 radius
The rate flow to produce the balls
5x100 = 500
Rate flow = 500 x 0.5³ / 5
= 12.5inch/s
b. New productionTime = 10 seconds x 5 = 50 seconds
radius = 0.5 inches
Flow rate = 50 * 0.5³/5*10
= 1.25 inches/s
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James completely covered a square poster board using 68.2 in. of cardstock. Which measurement is
closest to one side of the poster board in inches?
Answer?
Answers
Answer:
17inches
Step-by-step explanation:
If James completely covered a square poster board using 68.2 in. of cardstock, this means that the perimeter of the square box is 68.2in.
To get the measurement if one side if the box we will use the formula for finding the perimeter of the square.
P = 4L
L is side length of the square box
68.2 = 4L
L = 68.2/4
L = 17.05in
.hence the measurement closest to one side of the square box is 17inches
solve for p -5(p + 3/5) = -4
Answers
Answer:
P = 0.2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask =)
Answer:Solution for -5(p+3/5)=-4 equation:
-5(p+3/5)=-4
We move all terms to the left:
-5(p+3/5)-(-4)=0
We add all the numbers together, and all the variables
-5(+p+3/5)-(-4)=0
We add all the numbers together, and all the variables
-5(+p+3/5)+4=0
We multiply parentheses
-5p+4-3/5*5=0
We multiply all the terms by the denominator
-5p*5*5-3+4*5*5=0
We add all the numbers together, and all the variables
-5p*5*5+97=0
Wy multiply elements
-125p*5+97=0
Wy multiply elements
-625p+97=0
We move all terms containing p to the left, all other terms to the right
-625p=-97
p=-97/-625
p=97/625
Step-by-step explanation:
how to solve and get the correct answer of total surface area of each cylinder. 6yd diameter and 10 yd height.
Answers
Total Surface Area = 2πr² + 2πrh
Where:
π (pi) is a mathematical constant approximately equal to 3.14159.
r is the radius of the circular base.
h is the height of the cylinder.
In this case, you have a cylinder with a diameter of 6 yards, which means the radius is half of that, or 6/2 = 3 yards. The height of the cylinder is given as 10 yards.
Let's substitute these values into the formula to calculate the total surface area:
Total Surface Area = 2π(3)² + 2π(3)(10)
Calculating the values inside the parentheses:
Total Surface Area = 2π(9) + 2π(30)
Simplifying further:
Total Surface Area = 18π + 60π
Combining like terms:
Total Surface Area = 78π
Now, if you want the answer in terms of yards, you can approximate π as 3.14 and calculate:
Total Surface Area ≈ 78 * 3.14
Total Surface Area ≈ 245.52 square yards
So, the total surface area of the cylinder with a diameter of 6 yards and a height of 10 yards is approximately 245.52 square yards.
Which expression is equivalent to c+0.61c−0.59c
Answers
Answer:
1.02c
Step-by-step explanation:
Assume that each year the IRS randomly audits 30% of the tax returns. If a married couple has filed separate returns, answer the following questions. (a) What is the probability that both the husband and the wife will be audited? (b) What is the probability that only one of thern will be audited? (c). What is the probabkity that neither one of them will be audited? (d) What is the probability that at least one of them will be audited?
Answers
The problem entails calculating the probability for a scenario in which the IRS audits 30% of tax returns at random and a married pair has filed separate returns. Calculate the chances of both husband and wife being audited, just one of them being audited, neither of them being audited, and at least one of them being audited.
a) Probability that both the husband and the wife will be audited: (0.3)² = 0.09 or 9%
b) Probability that only one of them will be audited:
Probability of the husband being audited and the wife not being audited: (0.3)(0.7) = 0.21 or 21%Probability of the wife being audited and the husband not being audited: (0.7)(0.3) = 0.21 or 21%The probability that only one of them will be audited is the sum of the two probabilities which equals 0.42 or 42%.c) Probability that neither one of them will be audited: (0.7)² = 0.49 or 49%
d) Probability that at least one of them will be audited: This is the complement of the probability that neither one of them will be audited. So, the probability that at least one of them will be audited is 1 - 0.49 = 0.51 or 51%.
The relevant terms in this question are probability and statistics. To solve for the probability of each scenario, we used the formulas for independent probabilities and complements.
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Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Rx)=2x²-15x²+26x² + 15x-28 X- MY NOT
Answers
The rational zeros of the given function R(x) = 2x² - 15x² + 26x² + 15x - 28 are 2, 7/2, and DNE.
The given function is R(x) = 2x² - 15x² + 26x² + 15x - 28.
To find the rational zeros of the given function,
we can use the Rational Root Theorem which states that any rational zero of the function is of the form p/q,
where p is a factor of the constant term and q is a factor of the leading coefficient.
Let's find the factors of 28 and 2:
Factors of 28 are 1, 2, 4, 7, 14, and 28.
Factors of 2 are 1 and 2.
Using the Rational Root Theorem, we can write the possible rational roots of the function as:
p/q = ± 1, ± 2, ± 4, ± 7, ± 14, ± 28, ± 1/2, and ± 7/2.
Now we need to check which of these possible roots are actually the roots of the function.
We can use synthetic division to check for the roots.
Using synthetic division, we find that the root x = 2 is a zero of the given function.
Rewriting the given function using this factor, we get:
R(x) = (x - 2)(2x² - 11x + 14)
Now we can factorize the quadratic 2x² - 11x + 14 by splitting the middle term, we get:
R(x) = (x - 2)(2x - 7)(x - 2) = (2x - 7)(x - 2)²
The rational zeros of the given function are 2, 7/2, and DNE.
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Answer my question im being timed Please!!
Answers
[ (10)(x^3)(y^2) / (5)(x^-3)(y^4) ]^-3
[ (2)(x^3)(y^2) / (x^-3)(y^4) ]^-3
[ (2)(x^6)(y^2) / (y^4) }^-3
[ (2)(x^6)(y^-2) ]^-3
(2^-3)(x^-18)(y^6)
---Not simplified (contains negative exponents)
(1/8)(x^-18)(y^6)
---Fully simplified
(y^6) / (8)(x^18)
Hope this helps!
At a restaurant, your bill has a food total of $45.50. Find the amount of an 18% tip on the food total.
Answers
Answer:
The total bill is $53.69 I believe. If you want, you can check your answer by using the steps I provided.
Step-by-step explanation:
1. First, you multiply 18 and 45.50 to get 819.
2. Next, you move the decimal two places to the left to get 8.19
3. Finally, you add the tip ($8.19) on the amount of the food to get our answer ($53.69)
Please help me with number 13 and 14 i really need help
Answers
Answer: The answer to number 13 is true because when you graph it, it is a straight line and the answer to number 14 is false because you can't graph an exponent.
Height: 168 in.
Height
ft
Answers
Answer:
14 ft
Step-by-step explanation:
116 divided by 12 because there are twelve inches in a foot
#7 please help i don’t know what i’m doing and i have to show work
Answers
Answer:
Answer is 6x-13
Step-by-step explanation:
Given
XZ=8x-18 and RZ=2x+5
XR=XZ-RZ
8x-18-2x+5
8x-2x-18+5
6x-13Ans
determine the ordered pairs of....
\(6x - y > - 3\)
and
\(4x + 3y < 4\)
Answers
The ordered pairs of the system of inequalities are (1, 0) and (0, -5)
Determining the ordered pairs of the system of inequalitiesFrom the question, we have the following parameters that can be used in our computation:
6x - y > -3
4x + 3y < 4
The above expression is a system of linear inequality
That implies that we graph the inequalites in the system on the same plane and write out ordered pairs from the region that represent the solution of the system
Next, we plot the graph
See attachment for the graph of the inequality
The ordered pairs are (1, 0), (0, -5) and other pairs
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![determine the ordered pairs of....[tex]6x - y > - 3[/tex]and[tex]4x + 3y < 4[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/WWdNQnZ3uLKaxGNu1HFovBlAzvzmyMkG.png)
Also this as a triangle
Answers
i like to ride on the interurban trail for a total distance of 30 miles. it takes me 2 hours. what is my average speed while riding my bike in miles per hour?
Answers
Answer:
15mph
Step-by-step explanation:
So to figure this out you have to get the total unit rate by dividing 30 and 2 which in total gives you 15
So congratulations you can ride 15 miles per hour :)
Answer:15 mph
Step-by-step explanation:
if you had 12.3 grams of carbohydrates, how many calories would that contribute per serving? do not round; give the absolute value.
Answers
49.2 calories are in would that contribute per serving .
What does a calorie mean ?
Energy is measured in calories. When you hear something has 100 calories, it means that it has the potential to provide your body with that many calories of energy. Calories are the units of energy used by your body during food digestion and absorption. A food's ability to give your body energy depends on how many calories it contains.Carbohydrates provide 4 calories per gram.
1 gm Carbohydrates = 4 calories
then 12.3 gm Carbohydrates = 12.3 * 4
= 49.2 calories
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A store sells packs of 3 tennis balls for $5, and packs of 8 tennis balls for $12. In one day the store received $151 in sales of tennis balls. If the store sold 97 tennis balls in total, how many packs of 3 balls did they sell?
Answers
Your answer should be 23.
11 packs of 3 tennis ball was sold .
What is an Equation ?An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.
It is given that
A store sells
A pack of 3 tennis ball at $5
A pack of 8 tennis ball at $12
Let the pack of 3 sold is x
and the pack of 8 sold is y
It is given that
3x + 8y = 97
5x +12y = 151
Solving these equations
x = 11
and y = 8
Therefore 11 packs of 3 tennis ball was sold .
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a(n) ? is a shorthand method for writing a mathematical rule.a. equal sign (=)b. equationc. formulad. math problem
Answers
The equation is a shorthand method for writing a mathematical rule.
The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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Which is the equation of the axis of symmetry of the graph of y = –3(x – 6)2 + 5?
x = –6
x = –5
x = 5
x = 6
Answers
The equation that represents the axis of symmetry of the graph of the quadratic function is the line; x = 6
What is a quadratic function?A quadratic function is a function that has 2 as the highest exponent. The shape of the graph of a quadratic function is a parabola, which is U shaped.
The equation of the axis of symmetry of the graph of y = -3·(x - 6)² + 5 is obtained as follows.
The specified equation is in the vertex form of a quadratic function, which is; f(x) = a·(x - h)² + k
Where;
(h, k) = The coordinate of the vertex
The equation of the axis of symmetry is x = h
Comparison of the equation, y = -3·(x - 6)² + 5 and the vertex form of a quadratic equation, we get.
The vertex, (h, k) = (6, 5)
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please hurry I need to pass this class
Answers
Answer:
\(\displaystyle m=\frac{-3}{4}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Find points from graph.
Point A(0, 8)
Point B(4, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: \(\displaystyle m=\frac{5-8}{4-0}\)[Fraction] Subtract: \(\displaystyle m=\frac{-3}{4}\)Lowest value of x x4 2 2 + + is
Answers
The lowest value of the equation is at x = -2 when (x + 2) = 0.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree.
Given the function,
x² + 4x + 2
to find the lowest value,
factorize the function,
x² + 4x + 2
add and subtract 4 from the function,
x² + 4x + 2 + 4 - 4
x² + 4x + 4 - 2
(x + 2)² - 2
here (x + 2)² is always positive,
and lower value will be x = -2 when (x + 2) = 0
Hence lowest value will be at x = -2.
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The correct question is,
Lowest value of x² + 4x + 2.
At right are the graphs of two quadratic equations. One of them is the graph of
\(y = 3x ^{2} \)
What is the equation of the other graph? Explain how you know.
Explanation:
![At right are the graphs of two quadratic equations. One of them is the graph of [tex]y = 3x ^{2} [/tex]What](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/zbp5nCkRQqE8NXbM9EozMjbRPpUQRgrd.jpeg)
Answers
Answer:
789x86=8u
Step-by-step explanation: