Answer:
There were 12 cranes in class yesterday. For all the cranes, there were a total of 290 centimeters.
Step-by-step explanation:
41-29=12.
29*10=290
Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the
resulting statements true.
(a) B __ A (b)C __ A (c) B __ C (d) ∅ __ B (e) C __C
Answer:
Answer
Step-by-step explanation:
(a) B ⊄ A (b) C ⊂ A (c) B ⊄ C (d) ∅ ⊂ B (empty set is an element of any set)
(e) C ⊂ C (reflexitivity).
Balu had a collection of coins. 1/2 of the coins are from asian countries, 1/3 of them from european countries, 36 are from america, how many asian coins are there
The total number of coins Balu had in his collection was 216 coins, computed using the linear equation in one variable, x = x/2 + x/3 + 36.
Asian coins were 1/2 a fraction of this, that is, (1/2)*216 = 108 coins.
We assume the total coins with Balu to be x.
The fraction of coins from Asian countries = 1/2.
Thus, the number of coins from the Asian countries = 1/2 of x = x/2.
The fraction of coins from European countries = 1/3.
Thus, the number of coins from the European countries = 1/3 of x = x/3.
The number of coins from America = 36.
Thus, the total number of coins = x/2 + x/3 + 36.
But, we assumed that the total number of coins is x.
Thus, we get a linear equation in one variable as follows:
x = x/2 + x/3 + 36.
We solve this equation as follows:
x = x/2 + x/3 + 36,
or, x - x/2 - x/3 = 36,
or, (6x - 3x - 2x)/6 = 36,
or, x/6 = 36,
or, x = 36*6 = 216.
Thus, the total number of coins Balu had in his collection was 216 coins, computed using the linear equation in one variable, x = x/2 + x/3 + 36.
Asian coins were 1/2 a fraction of this, that is, (1/2)*216 = 108 coins.
Learn more about fractions at
https://brainly.com/question/2929160
#SPJ4
The shape of f(x) = √ x, but shifted nine units to the left and then reflected in both the x-axis and the y-axis
Answer:
g(x) = -√(-x +9)
Step-by-step explanation:
The relevant transformations are ...
f(x -h) . . . . . shifts the graph of f(x) right h unitsf(x) +k . . . . . shifts the graph of f(x) up k units-f(x) . . . . . . . reflects the graph of f(x) over the x-axisf(-x) . . . . . . . reflects the graph of f(x) over the y-axisApplicationApplying the transformations in the specified order, we have ...
f(x) = √x
f(x +9) = √(x +9) . . . . . . . shifted 9 units to the left
-f(x +9) = -√(x +9) . . . . . . shifted 9 left, reflected in the x-axis
-f(-x +9) = -√(-x +9) . . . . shifted 9 left, reflected in x-axis, reflected in y-axis
The shifted, reflected function is ...
g(x) = -√(-x +9)
__
Additional comment
The graph shows the original f(x) = √x function in red. The shifted, reflected function is shown in blue. Note that the initial left shift changes appearance to a right shift when it is reflected over the y-axis.
l=10m,b=8m,h=5m
Please answer
Step-by-step explanation:
we have given
l=10m
b=8m
h=5m
volume =?
area=?
volume =l*b*h
= 10*8*5
=400
area=2(lb+lh+bh)
=2(10*8+10*5+8*5)
=2(80+50+40)
=2(170)
=340
hope this is helpful please make me brainliest
A farmer has a piece of land with an area of 4 square yards. If a cow can graze grass at a rate of 2 square feet per hour, how long will it take 3 cows to graze the entire piece of land
Answer:
2 hours
Step-by-step explanation:
4 square yards to feet: 4*3 = 12ft
3 cows grazing grass at 2 ft per hour: 2*2 = 6 square ft per hour
Time taken: 12ft/6ft per hour = 2 hours
The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?
(4, −7)
(−4, −7)
(4, 7)
(−4, 7)
Answer: (4,-7)
Step-by-step explanation:
when f(x) = [tex]x^3[/tex] the vertex is (0,0). when g(x)= [tex](x-4)^3-7[/tex] the vertex will be (4,-7). The equation is put into vertex form, in order for us to find the vertex (h,k), followed by [tex]y=a(x-h)^3+k[/tex]. With h=4 and k=-7.
Therefore, the answer is (4,-7)
Players no longer need commitment strategies to reach a mutually-beneficial cooperative equilibrium when games are?
Players no longer need commitment strategies to reach a mutually-beneficial cooperative equilibrium when games are repeated.
This is an exercise related to Game Theory.
What are repeated game?The extended form is typically used to depict repeated games, commonly referred to as supergames, in game theory since they occur repeatedly across time.
The potential of collaborating means that we may choose to compromise in order to continue earning a payout over time, knowing that if we do not fulfill our part of the bargain, our adversary may decide not to either.
As contrast to one-shot games, recurring games provide a new set of incentives.
Learn more about Game Theory:
https://brainly.com/question/14347653
#SPJ1
Determine the equation of the parabola graphed below. A parabola is plotted, concave down, with vertex located at coordinates negative three and four.
The equation of parabola from graph is y = a(x + 1)² - 4.
According to the statement
we have to determine the parabola equation from the graphical representation.
So,
For this purpose we know that
Parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.
The general equation of parabola is y = a(x-h)2 + k
And The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Considering the vertex given, we have that h = -1, k = -4, hence the equation is:
y = a(x + 1)² - 4
So, The equation of parabola from graph is y = a(x + 1)² - 4.
Learn more about equation of parabola here https://brainly.com/question/4061870
Disclaimer: This question was incomplete. Please find the full content below.
Question:
Determine the equation of the parabola graphed below. Note: be sure to consider the negative sign already present in the template equation when entering your answer. A parabola is plotted, concave up, with vertex located at coordinates negative one and negative four.
#SPJ4
43. Consider the equation 4(x-8)+y=9(x-2)
[Part 1]
Find an expression for y of the form ax+b expression for y such that the equation has infinitely many solutions. Is there more than one such solution? Explain your reasoning using complete sentences.
[Part 2]
Find an expression for y of the form ax+b expression for y such that the equation has no real solutions. Is there more than one such solution? Explain your reasoning using complete sentences.
The expression of the equation 4(x - 8) + y = 9(x - 2) in slope intercept form is; y = 5x + 14
How to write an equation in Slope Intercept form?We want to express 4(x - 8) + y = 9(x - 2) in slope intercept form of y = mx + b.
Let us expand the equation to get;
4x - 32 + y = 9x - 18
Isolate y to get;
y = 9x - 4x - 18 + 32
y = 5x + 14
Thus;
Slope = 5
y - intercept = 14
x - intercept = -2.8
Read more about Slope Intercept Form at; https://brainly.com/question/1884491
#SPJ1
first sequence: 3 8 13 18 23 second sequence: -2 4 10 16 . find the TWO numbers that are in both number sequences.
[tex]a(n) = 3 + 5n[/tex]
[tex]b(n) = - 2 + 6n[/tex]
[tex]a(n) = b(n) \\ 3 + 5n = - 2 + 6n \\ 5 = n \\ n = 5 \: (6th \: term)[/tex]
[tex]a(5) \: or \: b(5) = 3 + 5(5) = 28[/tex]
Need help with this problem
put into quadratic formula
Answer: [tex]\frac{-7+\sqrt{49-4(15)(-12)} }{30}[/tex]
Step-by-step explanation:
Use the quadratic formula:
[tex]\frac{-b+-\sqrt{b^{2}-4(ac) } }{2a}[/tex]
Substitute the values, A = 15, b = 7, c = -12
[tex]\frac{-7+-\sqrt{7^{2}-4*(15*-12) } }{2*15}[/tex]
Simplify to answer:
[tex]\frac{-7+49-4(15)(-12)}{30}[/tex]
I hope this helps!
what does a irrational number look like
A irrational number is a number that can't be expressed as a ratio of two whole numbers. That's it.
For examples (in increasing order of difficulty)
1 is a rational number because it is 1/1
0.75 is a rational number because it is equal to 3/4
2.333... (infinite number of digits, all equal to three) is rational because it is equal to 7/3.
sqrt(2) is not a rational number. This is not completely trivial to show but there are some relatively simple proofs of this fact. It's been known since the greek.
pi is irrational. This is much more complicated and is a result from 19th century.
As you see, there is absolutely no mention of the digits in the definition or in the proofs I presented.
Now the result that you probably hear about and wanted to remember (slightly incorrectly) is that a number is rational if and only if its decimal expansion is eventually periodic. What does it mean ?
Take, 5/700 and write it in decimal expansion. It is 0.0057142857142857.. As you can see the pattern "571428" is repeating in the the digits. That's what it means to have an eventually periodic decimal expansion. The length of the pattern can be anything, but as long as there is a repeating pattern, the number is rational and vice versa.
As a consequence, sqrt(2) does not have a periodic decimal expansion. So it has an infinite number of digits but moreover, the digits do not form any easy repeating pattern.
2. (4)1 point possible (graded, results hidden)Recall for Define the kernel function Write as a function of the dot product . To answer, let , and enter in terms of . z^2 submitted
The Kernel Function K (x,x') written as a function of the dot product x *x' is K (x, x') = Z². See the working below.
What is a Kernel Function?A kernel function is a way for taking input data and transforming it into the needed form of processing data.
The term "kernel" refers to a collection of mathematical functions used in Support Vector Machine to provide a window to alter data.
What is the solution deriving the expression given above?Given x = [x₁, x₂][tex]^{T}[/tex]
β(x) = [x²₁, √2 x₁ x₂, x²₂]
K (x₁, x') = β(x)[tex]^{T}[/tex] β(x')[tex]^{T}[/tex]
Hence, X' = [x₁, x₂][tex]^{T}[/tex]
→ β(x') = [x'²₁, √2 x'₁ x'₂, x'²₂]
K (x, x') = [x²₁, √2 x₁ x₂, x²₂][tex]^{T}[/tex] [x'²₁, √2 x'₁ x'₂, x'²₂]
K (x, x') = [x²₁, [x'²₁ + 2x₁ x₂ x'₁ x'₂ + x²₂ x'²₂
Because Z = x · x' (dot product of x·x')
= x₁ x'₁ + x₂x₂'
Expressing K (x,x') as a function of Z, we have
K (x₁, x') = x²₁ x'²₁ + 2x₁x₂ x'₁ x'² + x²₂ x'²₂
Simplified, we have
(x₁ x₁¹ + x₂x¹₂)² = Z²; and
[(a+b)² = a²+2ab+b₂] = z x₁x₁¹ + x₂x₁²
Therefore,
K (x, x¹) = Z²
Learn more about Kernel Functions at:
https://brainly.com/question/13005154
#SPJ1
What is the partial fraction decomposition of startfraction 7 x squared minus 6 x + 9 over 3 x (4 x squared + 9) endfraction?
Answer:
A:(1/3x)+(x-2/4x^2+9)
Step-by-step explanation:
Edg2022
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 10 N acts on a certain object, the acceleration of the object is 5 meters per second². If the acceleration of the object becomes 4 meters per second², what is the force?
Answer:
8
Step-by-step explanation:
F=ma
10=5m
4m=10*4/5
4m=8
So the answer is 8
The sum of the reciprocals of three consecutive integers is 47/60. What is the sum of the three integers
Answer:
56
Step-by-step explanation:
small brain :(
What is the slope of the line that contains the points (4, 3) and (2, 7)?
OA-1
B. -5
C. -2
OD. -
Answer:
B. -2
Step-by-step explanation:
To find a slope of a line, you have to identify x and y variables:
(4, 3) => (x1, y1) (2, 7) => (x2, y2).We use the formula;
m = ∆y/∆x
= (y2 - y1)/(x2 - x1)
m is slopeSubstitute the values into the formula above.
m = (7 - 3)/(2-4)
= 4/-2
= -2
Therefore, the slope of the line is passing through points (4,3) and (2,
7) is -2.
Ruthie is trying to choose what reading material she wants to take on a vacation. She wants to read 1 fiction book, 1 nonfiction book, and 3 magazines. If Ruthie has 8 fiction books, 7 nonfiction books, and 3 magazines to choose from, how many possible combinations of books and magazines could she take with her.
E. 3 F.8 G.56 H.112
The number of possible combinations would be 56.
What is permutation?Permutation is the changing of the order in which things have been arranged or the arranging of things in a certain order.
Analysis:
Total number of fiction books available = 8
number of fiction books Ruthie wants = 1
Number of combination for Ruthie = 8C1 = 8 ways
Total number of non fiction books available = 7
number of non fiction books needed by Ruthie = 1
possible combination = 7C1 = 7 ways
Total number of magazines available = 3 ways.
Total possible combinations for all the Reading materials = 8 x 7 x 1 = 56 ways.
number of magazines Ruthie wants = 3C3 = 1 way
In conclusion, the number of possible combinations of The reading materials is 56.
Learn more about Permutation: brainly.com/question/1216161
#SPJ1
Which expression belongs
For the expression to be equal to the original one, we have;
[(x + 1) * 5(x - 1)(x + 4)]/[(x - 1) * 7x]
How to Simplify Algebraic Expressions?
We are given the algebraic expression;
(5x² + 25x + 20)/(7x)
Now, looking at the numerator, a common factor to all terms is 5. Thus, we will factorize it out to get;
5(x² + 5x + 4) = 5((x + 1)(x + 4))
Now, we see that the expression that simplifies the algebra is given as;
[(x² + 2x + 1) * ( )]/[( ) * (7x² + 7x)]
Now, the numerator and denominator can be factorized to get;
[(x + 1)(x + 1) * ( )]/[( ) * 7x(x + 1)]
Thus, x + 1 will cancel out to get;
[(x + 1) * ( )]/[( ) * 7x]
For the expression to be equal to the original one, we have;
[(x + 1) * 5(x - 1)(x + 4)]/[(x - 1) * 7x]
Read more about Algebraic Expressions at; https://brainly.com/question/723406
#SPJ1
can someone please help mee
Answer:
[tex]\frac{\sqrt{731}}{30}[/tex]
Step-by-step explanation:
We first observe that the angle is located in quadrant III
This allows us to draw a triangle as attached in the attachments.
Using this triangle, we can find sin([tex]\theta_1[/tex]).
Remembering that sin(theta) = [tex]\frac{opp}{hypo}[/tex], we can see from the attached image that it is [tex]\frac{\sqrt{30^2 - 13^2}}{30}[/tex], then simplifying [tex]\sqrt{30^2 - 13^2}[/tex] using a calculator, we get [tex]\sqrt{731}[/tex].
So our final answer is the answer shown above.
You may be wondering how did the side lengths appear on the triangle.
From cos(theta_1), we remember that cos(theta) = adj/hypo, so, we can draw our triangle using that the adjacent of the theta = -13 (another reason why is because the angle is in quadrant three), and hypo is 30.
Charlie owns a computer repair service. For each computer, they charge $50 plus $45 per hour of work. A linear equation that expresses the total amount of money Charlie earns per computer is y
The linear equation is 45x+50
Linear equation is the equation having the degree 1
Given that the charge per computer repair service is $50
The charge per hour of work is $ 45
We need to show the linear equation that expresses the total amount of money Charlie earns per computer is y
So , Let the number of hours be x
Therefore, the Charlie working hours charge will be 45x
The total amount of money Charlie earns per computer is y
Therefore the linear equation will be
y = 50+45x
Where y = Total amount of money
x = number of hours
Hence the linear equation is y = 45x+50
Learn more about linear equation here
https://brainly.com/question/1884491
#SPJ1
v²=u²+2as. If u = 12, a = -3 and s=18, Find v
Answer:
v=6
Step-by-step explanation:
v²=u²+2as
v²=12²+2(-3)(18)
v²=144-108
v²=30
v=6
triangle properties help
On May 1 Geraldo Saldana opened a savings account that paid 3.5 percent
interest at Fulton Savings Bank with a deposit of $3,600. Ten days later he
deposited $3,000. Fourteen days later he deposited $5,000. No other deposits
or withdrawals were made. Six days later the bank calculated the daily interest.
Based on the amounts that Geraldo Saldana deposited in the month of May, the total simple interest comes to $18.98.
what amount of simple interest does Geraldo Saldana get?the simple interest earned can be found as:
= (3,600 x 3.5%/360 days x 30 days) + (3,000 x 3.5%/360 days x 20 days) x (5,000 x 3.5%/360 days x 6 days)
= 10.5 + 5.83 + 2.65
= $18.98
rest of the question is:
How much simple interest did his money earn?
find out more on simple interest at https://brainly.com/question/20690803.
#SPJ1
The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units, and the right cylinder has a height of 3 units. Which conclusion can be made from the given information? (1 point) The volume of the prism is half the volume of the cylinder. The volume of the prism is twice the volume of the cylinder. The volume of the prism is equal to the volume of the cylinder. The volume of the prism is not equal to the volume of the cylinder.
Answer:
Step-by-step explanation:
The volume of the prism is not equal to the volume of the cylinder.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the cross sectional areas of a triangular prism and a right cylinder.
Volume of cylinder = cross sectional area * height = 3 * x = 3x
Volume of triangular prism = cross sectional area * height = 5 * x = 5x
The volume of the prism is not equal to the volume of the cylinder.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
successor of -501 is
Answer:
-500
Step-by-step explanation:
since 501 has a negative sign,add 1 to to the number,the next number will be -500
-501 +1 = -500
successor in this case means a number that succeeds another
Which system is equivalent to startlayout enlarged left-brace 1st row y = 9 x squared 2nd row x y = 5 endlayout
The set of equations that corresponds to the specified function are
y = 5 - x and 5 - x = 9x².
What is linear equation in two variables?
If an equation is expressed as ax + by + c=0, where a, b, and c are all real integers and a and b, the coefficients of x and y, respectively, are not equal to zero, then it is said to be a linear equation in two variables.
The given equation is :
[tex]y=9x^{2}[/tex] equation 1.
[tex]x+y=5[/tex] equation 2.
From equation 2.
[tex]x+y=5\\y=5-x[/tex]
substituting into 1 equation.
[tex]5-x=9x^{2}[/tex]
The system of equations that is equivalent to the provided function is shown by the resulting equation, which is y = 5 - x and [tex]5-x=9x^{2}[/tex]
To know more about linear equation in two variables visit:
https://brainly.com/question/19939553
#SPJ4
Which is the graph of a quadratic equation that has a positive discriminant?
Answer:
CORRECT graph is Graph C.
________________________________
HOPE IT HELPS
A 1500 pound car is stopped in traffic on a hill that is at an incline of 10°. determine the force that is required to keep the car from rolling down the hill.
Answer: about 260 Lb
Step-by-step explanation:
The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y. y = startfraction 3 x 10 superscript 8 baseline over x endfraction what is the wavelength for radio waves with frequency 3 × 109?
The wavelength for radio waves with frequency 3 × 10⁹ Hz is 0.1 m.
What's the relation between frequency and wavelength of electromagnetic waves?For electromagnetic waves travelling in vaccum, the product of frequency and wavelength is the speed of light in vaccum.Mathematically, frequency × wavelength = 3×10⁸ m/s (which is speed of light)So, wavelength= 3×10⁸/ frequencyWhat's the wavelength of radio wave with frequency 3×10⁹ Hz ?Wavelength of the radio wave= 3×10⁸/3×10⁹ = 0.1 m
Thus, we can conclude that the wavelength of the radio wave with frequency of 3 × 10⁹ Hz is 0.1 m.
Learn more about the wavelength of electromagnetic wave here:
brainly.com/question/27817563
#SPJ1