The answer for this equation is true.
Putting x=-4 and y=-1,
12(-4) + 9(-1) = -48-9= -57 which is smaller than 1.
What is an equation?
In mathematics, an equation is a formula that expresses equality by connecting two expressions with an equal sign. Equations and their cousins in other languages may have subtly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English any well-formed expression consisting of two expressions joined by an equal sign is an equation.
To solve an equation involving variables, it is necessary to determine which values of the variables make the equation true. The variables for which the equation must be solved are also called unknowns, and the values of the unknowns that satisfy the equation are called the solution of the equation. There are two types of equations: identities and constraints. The ID applies to all values of the variable. Constraint expressions apply only to specific values of variables.
Therefore, The answer for this equation is true.
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How many hamiltonian cycles are there in ks s, in terms of s? justify your answer.
The number of Hamiltonian cycles in Ks, in terms of s, is (s-1)!. Mathematically, we can express the number of Hamiltonian cycles in Ks as (s-1)!.
In a complete graph, denoted by Ks, each vertex is connected to every other vertex. A Hamiltonian cycle is a closed path that visits every vertex exactly once and returns to the starting vertex. To determine the number of Hamiltonian cycles in Ks, we need to consider the number of possible permutations of the vertices.
In a complete graph, there are s vertices. The first vertex can be chosen in s ways. The second vertex can be chosen from the remaining (s-1) vertices, the third vertex from the remaining (s-2) vertices, and so on. Therefore, the total number of Hamiltonian cycles in Ks is given by the factorial of (s-1).
Mathematically, we can express the number of Hamiltonian cycles in Ks as (s-1)!. For example, if s = 5, then the number of Hamiltonian cycles in K5 would be (5-1)! = 4!.
In summary, the number of Hamiltonian cycles in Ks, in terms of s, is (s-1)!.
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Someone please help me ASAP
Answer:
13.39x10^10 gallons
Step-by-step explanation:
because if you add them together that is the sum
Answer:
The 2nd option:
1.339×10⁶
Step-by-step explanation:
To find the combined capacity, add the two values together so:
(8.12×10⁵ ) + ( 5.27 × 10⁵ )
It will be simpler to add if you change it out of its
standard form
812000+527000
= 1339000
Now you can write in back in standard form, which will be
1.339×10⁶
write re(e^(1/z)) in terms of x and y. why is this function harmonic in every domain that does not contain the origin?
The formula for the real portion of a complex function can be used to write re(e(1/z)) in terms of x and y: f(z) + f(z*) = re(f(z)) / 2
How is a harmonic function determined?where z* denotes z's complex conjugate.
By applying this formula to the provided function, we obtain:
re(e(1/z)) = (e(1/z) + e(1/z*)) / 2
re(e(1/z)) = (e(x-iy) + e(x+iy)) / 2
re(e(1/z)) = (ex (cos y + I sin y) + ex (cos y - I sin y)) /2
As a result, re(e(1/z)) can be represented as ex cos y in terms of x and y.
Because it fulfills Laplace's equation, which asserts that the total of a function's second-order partial derivatives is equal to zero, this function is harmonic in every domain excluding the origin.
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pls help!! match the percentages
Answer:
Carbon dioxide: 0.04%
Oxygen: 28% (It says 21% online but there's no 21% so I'm guessing that it would be 28% because that is the closest number.)
Nitrogen: 71% (It says 78% online but there's no 78% so I'm guessing that it would vbe 71% because that is the closest number.)
Argon: 1% (It says 0.93% online but if you round up 0.93% it would round up to 1%.)
Samuel made 31 out of 40 field goals during football practice. What percent of the field goals did Samuel make?
The percent of the field goals did Samuel make will be 77.5%.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:
= 31 / 40 × 100
= 77.5%
The percentage is 77.5%.
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The angle of elevation at the top of a tower from a point on the ground which is 30m away from the foot of the tower is 30degrees. Find the height of the tower
The height of the tower is approximately 15.59 meters.
Let the height of the tower be h meters. Then, from the given information, we can draw a right-angled triangle with the base as 30m, the height as h meters, and the angle of elevation as 30 degrees. We can use the tangent ratio to find the height of the tower:
tan 30° = h / 30
Simplifying the above equation, we get:
h = 30 x tan 30°
Using the trigonometric table, we can find that the value of tangent 30 degrees is 1/√3. So,
h = 30 x 1/√3
h = 30/√3 x √3/√3
h = 30√3/3
h = 10√3 ≈ 15.59 m
Therefore, the height of the tower is approximately 15.59 meters.
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an education can be the key to higher earnings. in a u.s. census bureau study, high school graduates earned $30,400 per year. associate’s degree graduates averaged $38,200 per year. bachelor’s degree graduates averaged $52,200 per year
The given statement "an education can be the key to higher earnings" is true, as a U.S. Census Bureau study shows that earnings increase with the level of education.
The study shows that high school graduates earned $30,400 per year, associate’s degree graduates averaged $38,200 per year, and bachelor’s degree graduates averaged $52,200 per year. This indicates that an individual's earnings will increase with their level of education.
As an individual's level of education increases, their earnings also increase. The U.S. Census Bureau study demonstrates that a high school graduate earns less than an associate's degree graduate, and an associate's degree graduate earns less than a bachelor's degree graduate.
This is because education enables an individual to obtain better job opportunities and more specialized skills in their area of interest, which are valued in the job market. As a result, higher education has a significant impact on an individual's income.
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Maurice can pack 100 cans in 20 minutes Is this a faster or slower rate than packing 160 cans in 40 minutes?
Answer:
Slower
Step-by-step explanation:
If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes
A function is graphed on the coordinate grid shown what is the best internet approximation for the output of this function for an input of -2
In a function graphed, the input values are the x-values, and the output values are the y-values.
So, looking at the graph, when x = -2, y=-3.
The output is approx -3.
What type of variable is the number of robberies reported in your city? multiple choice continuous quantitative qualitative attribute
Quantitative type of variable is the number of robberies reported in your city.
The number of robberies reported in your city is a quantitative variable because it represents a numerical measurement or quantity.
It involves the collection of numeric data that quantifies the frequency or amount of a specific event (in this case, the number of robberies) occurring in your city.
More specifically, it is a continuous variable. Continuous variables are characterized by being able to take on any value within a certain range. In the case of the number of robberies reported, it can have decimal or fractional values.
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Which of the following is not a polynomial? 7−z 2p3q2− pq3 −5x+ 6y −3/x
The algebraic expression -5x+6y-3/x is not a polynomial.
The given polynomials are 7-z, 2p³q²-pq³ and -5x+6y-3/x.
What is the polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.
Here,
In 7-z has non-negative integer as exponent
So, it is a polynomial
In 2p³q²-pq³ has non-negative integer as exponent
So, it is a polynomial
In -5x+6y-3/x has negative integer as exponent, which is \(x^{-1}\)
So, it is not a polynomial
Hence, the algebraic expression -5x+6y-3/x is not a polynomial.
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14. There are 12 marbles in a bag. Of these, Four of them are blue and the rest are green. You reach into the bag and take out two marbles without looking. What is the probability that both marbles are blue? Round to the nearest whole percent.
Answer:1/4
Step-by-step explanation: im sry if im wrong
The probability that both marbles are blue is 9 percent.
It is given that 12 marbles in a bag, four of them are blue and the rest are green.
To find the probability that both marbles are blue.
What is probability?The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Let both the marble be blue for event A.
P(A)=2C4/2C12 (combination formula)
=6/66
=1/11
≅0.09
=9percent.
So ,the probability that both marbles are blue is 9 percent.
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hiii please help i’ll give brainliest
Answer:
385
Step-by-step explanation:
Help!!!
Write a linear equation that passes through the points (-3, 3) & (9, -13) in slope-intercept form.
Answer:
Y= -4/3x-1
Step-by-step explanation:
The distance from our y values is -16
The distance from our x values is 12
We have -16/12 which we reduce to -4/3
Rise/Run=Y/X
Use can use the rise over Run strategy to eventually find your y intercept which is -1.
Hope this helps! :)
Answer:
Y= -4/3x-1
Use the linear equation to solve problems like this.
(a) without adding new vertices, add a single edge to the graph so that the new graph will have an euler path. which vertices does your new edge connect?
To add a single edge to a graph to create an Euler path, we must connect two existing vertices with an odd degree.
In graph theory, an Euler path is a path that visits every edge of a graph exactly once. However, not all graphs have an Euler path. If a graph has an Euler path, it must have either zero or two vertices with an odd degree. In this scenario, we are given a graph and are asked to add a single edge to create an Euler path.
To add a single edge to the graph, we must connect two existing vertices that have an odd degree. This is because adding a new vertex would change the degree of the graph and potentially affect the existence of an Euler path. Therefore, we must carefully consider the degree of each vertex before adding the edge.
Let's consider a graph:
A
/ \
B---C
/ \ / \
D---E---F
In this graph, vertices B, E, and F have an odd degree. To create an Euler path, we must connect two of these vertices with a new edge. Let's choose B and E, and add the edge (B, E) to the graph.
A
/ \
B---C
/ \ / \
D---E---F
Now, the graph has only one vertex with an odd degree, which is C. This means that the graph has an Euler path that starts at C, visits every edge exactly once, and ends at A.
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v A t-shirt originally costs $18.50. It is on sale for 10% off. What is the sale price of the t-shirt?
Answer:
16.65
Step-by-step explanation:
10% of 18.50 is 1.85, so you just subtract that.
find the zeros of -16x^2 +24+16 and show your work
Step-by-step explanation:
This both answer can be
The angles of a triangle add up to 180 degrees. The second angle is 6 degrees larger than the smallest angle. The third angle is 4 times as big as the smallest angle. Find the measure of the smallest angle (in degrees) degrees
The measure of the smallest angle A of the triangle is 29°, whose second angle is 6 degrees larger than the smallest angle and the third angle is 4 times as big as the smallest one.
we know that the Sum of the measure of all the angles in the triangle is 180 degrees.
Let, ∠ A = smallest angle
∠ B = A+6
∠ C = 4 (∠A)
So, we can write that,
∠ A + ∠ B + ∠ C = 180°
∠A + (∠A+6) + 4∠A = 180°
6 + ∠A + ∠ A + 4∠A = 180°
6 + 6 ∠A = 180°
6∠A = 180° - 6
6 ∠A = 174
∠A = 174/6
∠A = 29°
Hence, the smallest angle A is 29°
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PLEASEE HELPP
Explanation and correct=BRAINLIEST!!!!
Answer: B. The ball is less likely to be a racquetball than a golf ball.
Step-by-step explanation:
Imagine a bin. You are storing different sports balls in the bin. You put 20 baseballs, 24 golf balls, 9 tennis balls, and 6 racquetballs in the bin. Can you name which ball is most likely to be chosen if you grabbed one out at random? The answer is the golf ball.
This is because there are more golf balls than any other type of ball. For example, there are 24 golf balls, yet there are only 20 baseballs. This means that you are more likely to pick a golf ball.
Remember that there are 6 racquetballs while there are 24 golf balls. There are 4 times more golf balls than racquetballs in the bin. This means that you are 4 times more likely to pick a golf ball than a racquetball when you take a ball out of the bin at random.
Since there are many more golf balls than racquetballs, you are more likely to grab a golf ball than a racquetball. This means that the ball is less likely to be a racquetball than a golf ball.
(If you are confused, imagine freshly baked cookies. You cooked 12 cookies.
8 cookies are chocolate chip
3 cookies are oatmeal raisin
1 cookie is peanut butter.
If you grab a cookie at random, with your eyes closed, you are most likely to pick the chocolate chip cookies. This is because there are more chocolate chip cookies than oatmeal raisin cookies or peanut butter cookies)
Shawna and her best friend found some
money in a trash can. They split the
money evenly, each getting $5. How
much money did they find?
Perform the following operation
Answer:
When you multiply an odd number of negatives you get a negative result. When you multiply an even number of negatives you get a positive result.
First, multiply normally.
25x10x5
1100
Then determine whether the sign is positive or negative. Since there is an odd number of negatives, the sign is negative.
So, the answer is -1100.
:)
.
Find the measure of ∠3.
45°
90°
135°
What is the greatest common factor of 90, 126, 180 and 990?
9514 1404 393
Answer:
18
Step-by-step explanation:
90 = 18·5
126 = 18·7
180 = 18·10
990 = 18·55
The greatest common factor of these numbers is 18.
__
Comment on the GCF
It can be useful to know Euclid's algorithm for finding the GCF:
Determine the remainder from dividing the larger number by the smaller.If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)
Don't Send links, don't Write random things and get the points for free.
Answer:
2,714in^3
Step-by-step explanation:
V = pi*r^2*h
V = 3.14*6^2*24
V = 3.14*36*24
V = 2,714
The volume of the cylindrical fish tank is 2,714 inches cubed.
Answer:
Option A, \(2714\ in^3\)
Step-by-step explanation:
Step 1: Determine the volume of the cylinder
\(V=\pi r^2h\)
\(V=\pi *(12\ in/2)^2*24\ in\)
\(V=\pi *(6\ in)^2*24\ in\)
\(V=\pi * 36\ in^2 *24\ in\)
\(V = \pi *864\ in^3\)
\(V=2,714\ in^3\)
Answer: Option A, \(2714\ in^3\)
The angles 40 and 50° are complementary. Determine sin 40° and cos 50°. Make a conjecture about the sines and cosines of complementary angles, and test this hypothesis with oth pairs of complementa
We see that the conjecture is true for these angles as well.
Given that the angles 40° and 50° are complementary angles.
Complementary angles are the angles which add up to 90°.
That is, 40° + 50° = 90°.
To find sin 40° and cos 50°, we need to know the values of sin and cos for the angles 40° and 50°.
We can use a scientific calculator or the trigonometric ratios chart to find these values.
Sin 40° ≈ 0.643 and cos 50° ≈ 0.643.
We can make the following conjecture about the sines and cosines of complementary angles:
In a right-angled triangle, the sine of one of the two acute angles is equal to the cosine of the other acute angle. That is,
sin A = cos B and sin B = cos A where A and B are complementary angles.
We can test this hypothesis with other pairs of complementary angles.
For example, if the angles are 30° and 60°, then,
sin 30° ≈ 0.5 and cos 60°
≈ 0.5sin 60° ≈ 0.866 and cos 30° ≈ 0.866
We see that the conjecture is true for these angles as well.
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What is the cost of 18 toy cars?
Answer:
$27
Step-by-step explanation:
Assuming this price list, ...
4 toy cars cost 6 dollars
6 toy cars cost 9 dollars
8 toy cars cost 12 dollars
We recognize that 18 cars is 3 times 6 cars, so the cost will be ...
cost of 18 cars = 3(cost of 6 cars) = 3($9) = $27
The cost of 18 toy cars is $27.
A new Community Sports Complex is being built in Del Rio. The perimeter of the rectangular playing field is 528 yards. The length of the field is 6 yards less than quadruple the width. What are the dimensions of
the playing field?
The width is yards.
The length is yards.
Save
The dimensions of the playing field the width is 54 yards and the length is 210 yards.
Given that the perimeter of the rectangular playing field is 528 yards and the length of the field is 6 yards less than quadruple the width.
Let the width of the rectangular playing field is x yards and it is given that the length of the field is 6 yards less than quadruple the width means the length is 4x-6.
As we know that the perimeter of the rectangle is two times the sum of length and breadth so.
P=2(l+w)
As it is given that the perimeter is 528 yards.
So, we will substitute all the values in the formula, we get
528=2(4x-6+x)
528=2(5x-6)
528=10x-12
528+12=10x-12+12
540=10x
540/10=10x/10
54=x
Now, substitute this values in l=4x-6 to find the length, we get
l=4(54)-6
l=216-6
l=210
Hence, the dimension of the playing field when the perimeter of the rectangular playing field is 528 yards is width is 54 yards and length is 210 yards.
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please help click image for question
Answer:
12c8/d2.....option 1.........
Calculate the value of (6.9x10^-3)x(2x10^9) Give your answer in standard form.
what is the answer to 5+3x(5-2) ^2
Answer:
576
Step-by-step explanation:
5 + 3 = 8
5 - 2 = 3
8 x 3 = 24
24 to the second power is 576
Answer:
27x+5
Step-by-step explanation:
5+3x(5-2)^2
5+3x(3)^2
5+3x*9
5+27x
27x+5