Answers
Related Questions
Only false statements have counterexamples. true or false
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The statement 'Only false statements have counterexamples' is false.
A counterexample is an instance that disproves a statement by providing an example where the premises are true, but the conclusion is false. Thus, only false statements have counterexamples can be considered false. A true statement cannot have a counterexample because that would contradict its truth.
For example, consider the statement 'All swans are white.' A single observation of a black swan would be a counterexample that disproves this statement, showing it is false.
A rectangular aquarium is 2/3 filled with water and then is tilted on its side until the water level coincides with one edge of the bottom. During the process, 6 quarts of water are poured out. What is the volume of the tank in quarts?
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Answer:
36 Quarts
Step-by-step explanation:
Let the volume of the Aquarium be x quarts.
Hence amount of water filled in it will be
[tex]\frac{2x}{3}[/tex] quarts
Also problem says that the tank is tilted until water level coincides with one edge of the bottom. At this position , the amount of water filled in the tank will be half of the total volume , as the slant water level will be the diagonal of the tank and a diagonal divides the tank in two halves.
Hence current volume of water in the tank will be
[tex]\frac{x}{2}[/tex]
And in this process the amount of water poured out is 6 quarts. It will the difference between the amount of water earlier in the tank and the amount of water in the tank now. Hence
[tex]\frac{2x}{3}-\frac{x}{2}=6[/tex]
[tex]\frac{4x-3x}{6}=6[/tex]
[tex]x=36[/tex]
Hence the volume of the tank is 36 quarts.
An Octagon has the radius of 56 and an area of 10,391.9 square millimeters.
a1) What is the approximate perimeter of the octagon? Round to the nearest whole number.
A) 93
B) 186
C) 371
D) 1299
a2) What is the approximate length of one side of the octagon? Round to the nearest whole number.
A) 23
B) 46
C) 371
D) 1299
Answers
Answer:
Step-by-step explanation:
Alright, lets get started.
The area of octagon is given [tex]= 10391.9[/tex]
The formula for area of octagon with side a is = [tex]2(1+\sqrt{2} )a^2[/tex]
[tex]10391.9 = 2(1+\sqrt{2} )a^2[/tex]
hence ,
[tex]a^2 = \frac{10391.9}{2(1+\sqrt{2} )}[/tex]
[tex]a^2 = 2152.2329[/tex]
[tex]a = 46.39[/tex]
Hence the length of the side of the octagon is 46 : Answer
Now perimeter of the octagon will be = [tex]8*side length[/tex]
Hence the perimeter = [tex]8*46.39 =371.1[/tex]
hence the perimeter of the octagon is 371 : Answer
Hope it will help :)
A cylinder has its height doubled and its radius cut to one third. What is the ratio of the volumes of the modified cylinder to the original cylinder?
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[tex]V_{2}=2h_{1} \pi ( \frac{1}{3} r_{1})^{2}=\frac{2}{9} \pi h_{1}( r_{1})^{2}[/tex]
Taking the ratio of V2/V1 = 2/9
Final answer:
The ratio of the volumes of the modified cylinder (height doubled and radius cut to one third) to the original cylinder is 2:9.
Explanation:
To find the ratio of the volumes of the modified cylinder to the original cylinder, we need to use the formula V = πr²h.
Let the original radius be 'r' and the original height be 'h'. The volume of the original cylinder V1 is given by:
V1 = πr²h
After doubling the height and cutting the radius to one third, the new radius is 'r/3' and the new height is '2h'. The volume of the modified cylinder V2 is:
V2 = π(r/3)²(2h) = π(r²/9)(2h) = (2/9)πr²h
The ratio of the volumes is then:
Volume Ratio (V2/V1) = (2/9)πr²h / πr²h = 2/9
So, the ratio of the volumes of the modified cylinder to the original cylinder is 2:9.
What fraction of a minute is 42 seconds
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42 seconds is 7/10 of one minute.
______________________________________________
Explanation:
______________________________________________
There are 60 seconds in 1 min.
______________________________________________
So; 42 seconds is: 42/60 of 1 min.
42/ 60 = (42÷6) / (60÷6) = 7/10 .
______________________________________________
The answer is: "7/10".
42 seconds is 7/10 of one minute.
______________________________________________
HELP PLEASE !!!!
Solve rt-3f=12 for f
SHOW STEPS !!!! And explain how to get answer please
Answers
-3f=12-rt divide both sides by -3
f=(rt-12)/3
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If you have any questions on how I did this, please ask!
rt - 3f = 12
-3f = 12 - rt
f = (12 - rt) / 3
Because we do not know what r nor t equal, we cannot find the exact value of f...
If this answer helped you please rate my answer 5 stars, press the "Thanks" button, and if you LOVED my answer... please (when available) press the "Mark as Brainliest" button.
Have a Great Day!
How do i solve
3(x+3)=18
Answers
3(x+3)=18
Distribute the brackets.
3*x=3x
3*3=9
3x+9=18
Subtract 9 from both sides.
(3x+9)-9=(18)-9
3x=9
Divide both sides by 3.
(3x)/3=(9)/3
x=3
Hope this helps.
-Benjamin
3 times X is 3x and 3 times 3 is 9
So
3x+9 =18
-9 -9
0. 9
3x=9
9/3 is 3
X=3
What is the ratio of 2.5 million to 1.5 million
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Identify the equation of the line that has a y-intercept of 7 and is parallel to the graph of y = 5x - 3
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Your equation would be y=5x + 7
Max has more than 5 carrots (number of carrots Max has = c
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What is b-r-3,when b=9 and r=2
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Substitute values
9-2-3
9-2=7
7-3=4
Final answer: 4
Decide if the problems are parallel,perpendicular or neithet and why
1).12x-4y=8
2).3y=-x+5
3).y=1/3x-5
4).12x-10=4y
5).2/3×+2y=8
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1).12x-4y=8 → y = 3.x + 2
2).3y=-x+5 → y = (-1/3)x +5/3
3).y=1/3x-5 → y = (1/3)x -5
4).12x-10=4y → y = 3.x - 5/2
5).2/3×+2y=8 → y = (-1/3).x +4
1) and 4) are parallel since they have the same slope (m=3)
2) and 5) are parallel (m = -1/3 = same)
1) and 2) are perpendicular since the product of their slopes = -1 [(3).(-1/3)]
1) and 5) are perpendicular ((3).(-1/3) = -1
2) and 4) are perpendicular ((3).(-1/3) = -1
4) and 5) are perpendicular ((3).(-1/3) = -1
What is the simplified form of 20 times x to the fifth power over 15 times y to the sixth power times the fraction 5 times y to the fourth power over 6 times x squared?
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Suppose you are walking home from the skating ring , you have to walk 6 miles east and 9 miles north , use the Pythagorean theorem how far is the skating ring from where u are.
plzzzzz!!!!!help
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this forms a right triangle where you need to calculate the length of the hypotenuse by using the Pythagorean theorem
a^ + b^2 = c^2
6^2 = 36
9^2 = 81
36+81 = 117
sqrt(117) = 10.816
10.8 miles
what is a constant interval and how does it appear on a graph?
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A function is said to have a constant interval if, for any input, the output is the same. The graph of a function with a constant interval is parallel to the axis of the range, i.e., a horizontal line.
A constant interval refers to a specific type of interval that remains the same or constant over its entire length. In other words, the difference between any two consecutive points or numbers in a constant interval is always the same.
Let's assume that f(x) = c is a function with a constant interval.
Then,
for any [tex]x_1\leq x_2[/tex] or [tex]x_1\geq x_2[/tex],
[tex]f(x_1) = f(x_2)[/tex].
Thus, a function whose output remains constant for every input is called a function with constant intervals.
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Please Help!
1. Define an example of a function – this could be distance traveled vs. time, the cost
of a turkey vs. weight, ect.
2. Show this relation as a set of correctly determined ordered pairs -- you will need
at least 5 ordered pairs in set notation -- remember that set notation will look
like: {(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)} with the { } around the ordered pairs.
Can you please explain how you did it. I want to understand. (30pts)
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[tex]p=8t[/tex]
where p = pay ($) and t = time (hr)
Pick some values for t and substitute them into the formula to get the corresponding pay.
(0, 0) <--- no hours, no pay
(1, 8) <--- one hour, pay $8
(2, 16) <--- two hours, pay $16
etc.
[tex]\{(0,0), (1,8), (2,16), (3, 24), (4, 32), (5, 40)\}[/tex]
Given the expression 5a2b – 13ab + 7a3 – 4b, do the following as instructed below:
1. Write the polynomial in descending order.
2. Classify the polynomial by the number of terms.
3. State the degree of the polynomial.
Thank you !!
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A. The descending order of this expression is 7a^3+5a^2b-13ab-4b.
B. This is a polynomial.
C. This is a 3rd degree polynomial.
The given expression is
[tex]5 {a}^{2} b - 13ab + 7 {a}^{3} - 4b[/tex]
To write the polynomial in descending order means we should write in decreasing powers of
[tex]a[/tex]
So in descending order we have,
[tex]7 {a}^{3} + 5 {a}^{2}b - 13ab - 4b[/tex]
ANSWER TO QUESTION 2
When a polynomial is in simplified form and it has one term, we call it a monomial.
If a simplified polynomial has two terms,it is called a binomial.
If a simplified polynomial has three terms, it is called a trinomial.
If a simplified polynomial gas four or more terms, we just call it a polynomial.
The given polynomial
[tex]5 {a}^{2} b - 13ab + 7 {a}^{3} - 4b [/tex]
has four terms and it us in simplified form, so it is classified as polynomial.
ANSWER TO QUESTION 3.
The degree of the polynomial is the highest degree the polynomial has.
We calculate the degree by adding the exponents of the two variables of each term.
For instance the first term is
[tex]7 {a}^{3} = 7 {a}^{3} {b}^{0} [/tex]
[tex]degree = 3 + 0 = 3[/tex]
Since the highest degree is 3, we say the degree of the polynomial 3.
Jason and Jenny are out on a lunch date. Jason gives Jenny a bouquet that has 4 roses, 3 carnations, and 4 orchids. They decide that Jenny gets to choose their lunch order if the flower she randomly picks from the bouquet is a carnation or a rose. What is the probability that Jenny gets to choose lunch?
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There are 7 flowers that Jenny can pick in order to order lunch.
Therefore the probability is 7/11
Question 2 (multiple answer)
Which simplifications of the powers of i are correct?
There is more than one correct answer. Select all correct answers.
i7=i4⋅i3=−1⋅−i=i
i6=i4⋅i2=1⋅−1=−1
i6=i4⋅i2=−1⋅−1=1
i7=i4⋅i3=1⋅−i=−i
i8=i4⋅i4=−1⋅−1=1
i5=i3⋅i2=−i⋅−1=i
i5=i3⋅i2=i⋅−1=−i
i8=i4⋅i4=1⋅1=1
Answers
i6=i4⋅i2=1⋅−1=−1
i7=i4⋅i3=1⋅−i=−i
i5=i3⋅i2=−i⋅−1=i
i8=i4⋅i4=1⋅1=1
find the obtuse angle the line y-2x=7 makes with the x- axis
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tan θ =m, where m is the slope of the equation
In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.
y-2x=7
y = 2x+7
dy/dx = 2 =m
So,
tan θ = 2
θ = tan⁻¹(2)
θ = 63.43°
Myles can ride his bike 24 miles in 6 hours. How many miles can he travel in 1 hour? (Unit rate)
How many miles can Myles travel in 5 hours?
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A large planetarium in the shape of a dome is being built. When it is complete, the base of the dome will have a circumference of 87 kilometers. What area of land was required for this planetarium?
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r = 87 km / 2 / pi = 13.846 km,
Now the areas is:
A = pi * 13.486^2 = 602.32188213127836 km^2 = 602.32 km^2
Huge
Answer:
602.32 km²
Step-by-step explanation:
First, find the radius of the circle using the circumference formula
C = 2π*r
87 = 2π*r
∴ r = 13.8465 km
Second, using the radius, calculate the area:
A = π * r²
A = π * 13.8465²
A = 602.32 km ²
f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).
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f(x)-g(x)=
(-5x-4)-(-3x-2)=
-5x-4+3x+2=
-2x-2
(-5x-4)-(-3x-2)
(-5x-4)+3x+2
-5x-4+3x+2
-2x-4+2
-2x-2
Final answer: -2x-2
What is equivalent to this statement:4 is 80% of x
Answers
4/80*100=5
An equivalent statement to '4 is 80% of x' is 'x is 5'.
Explanation:The statement '4 is 80% of x' can be written as the equation 4 = 0.8x. To find an equivalent statement, we can solve this equation for x.
To solve for x, divide both sides of the equation by 0.8: x = 4 / 0.8 = 5.
Therefore, an equivalent statement is: x is 5.
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estimate 17.5×8.4 need help
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while his bank account balance was -$45 Dylan made 6 withdrawals of 9$ what was his new bank account balance?
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6 withdrawals of 9$
6 times 9 is 54
He withdrew a total of 54$
-45 - 54
Is -99$
His new account balance is -99$
Please help! find the solution of this system of equations -6x + 2y=38 6x - 8y= -44
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-6x and 6x eliminate each other.
You have -6y=-6
Y=1
Plug this in into another equation and you have x
Solve it by using the elimination method.
-6x and 6x eliminate each other.
You have -6y=-6
Y=1
Plug this in into another equation and you have
-6x+2(1)=38
solve for x to get
X= -6
A drawer contains 4 red socks, 8 white socks, and 6 blue socks. Without looking, you draw out a sock, return it, and draw out a second sock. What is the probability that the first sock is white and the second sock is red?
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Robbie did a survey of four butterfly parks and wrote the following observations: Butterfly Park SurveyPark Number of White Butterflies Total Number of Butterflies A 24 86 B 43 92 C 12 68 D 32 52 Based on the survey, which park had the greatest percentage of white butterflies?
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B = 43 / 92 = 47%
C = 12 / 68 = 18 %
D = 32 / 52 = 62%
Answer D
Answer:
A = 24 / 86 = 28%
B = 43 / 92 = 47%
C = 12 / 68 = 18 %
D = 32 / 52 = 62%
Answer D
Step-by-step explanation:
Side GH = 3, side IG = 5, side JK = 3, and side LJ = 5. What side corresponds to side HI and can be used to show that ΔGHI ≅ ΔJKL by SSS? (Enter your answer using letters only)
Answers
Since it says enter with only letters, you would put KL as the answer