The simplified form of each of the given expressions as required is as follows;
a. -2 + 5 = 3
b. (−4) • (6) = -24
c. 4 − (−3) = 4 + 3 = 7
d. 10 + (−2) − 7 = 10 - 2 - 7 = 1.
e. −5 − 3(2 − 6) = -5 -3(-4) = -5 + 12 = 7.
f. (3 − 3)(102 − 11) = (0) (91) = 0.
What are the simplified forms of the given arithmetic operations?It follows from the task content that the given arithmetic operations are to be simplified.
The PEMDAS guidelines which prescribe the order of mathematical operations is used for the computation.
where;
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
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Planes q and r are parallel. explain how you know lines a and b are skew.
It is clear that planes q and r are parallel based on the fact that they do not intersect and remain in the same plane.
Lines a and b, however, are skew because they are not parallel, not in the same plane, and do not intersect.
This can be seen by looking at the angles formed by lines a and b, as they are not equal and are not of the same degree.
Furthermore, lines a and b cannot be in the same plane as planes q and r, as they do not intersect, and therefore they must be skew.
This is because two lines that are parallel to the same plane cannot be skew to each other. Therefore, lines a and b must be skew since they are not parallel to planes q and r.
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a ___ is the intersection of a plane with one or both nappes of a double cone.
Answer:
Step-by-step explanation:
thats hard
write the equation of the line that contains the following points in standard form (16,-3),(-4,12)
Answer:
y = -3/4x + 9
Step-by-step explanation:
first, find the slope by taking the difference of the y-values / difference of the x-values
(-3-12) / (16-(-4)) which equals -15/20 or -3/4
now use that value to represent the 'm' in the formula in order to find 'b'
y = mx + b
-3 = -3/4(16) + b
-3 = -12 + b
9 = b
y = -3/4x + 9
Which pair of polygons is similar?
Answer:
D is similar, because if you slightly turn it around it will shape out like a diamond as how the bottom one is set
PLS DO NUMBER 10 WILL MARK BRAINLY AND ALSO GIVE AN ADDITIONAL 100 PTS IF CORRECT PLS HURRY. THANK YOU
Answer:
Rate of Change: 7 for Jake
Step-by-step explanation:
84 goes to 91 by adding 7 and if added 7 again, U will get 98.
Classify the polynomial by its degree and number of terms: 12x²y^4 - 10xy³ + 25x
6th degree binomial
6th degree trinomial
4th degree binomial
4th degree trinomial
The degree of the given polynomial is 4 and the number of terms from the above given polynomial is 2 .
What is the Degree of a Polynomial?
Degree of a polynomial can be defined as the highest power of the variable in a polynomial.
Given polynomial,
= 12x²y^4 - 10xy³ + 25x
The degree of the given polynomial is 4.
the number of terms from the above given polynomial are x and y.
so the number of terms from the above given polynomial is 2 .
Hence, The degree of the given polynomial is 4 and the number of terms from the above given polynomial is 2 .
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Step 1, when solving a two dimensional, multi-charge problem, is to define the vectors. please identify the next five steps, in order. step 2: step 3: step 4: step 5: step 6:
Step 1, when solving a two dimensional, multi-charge problem, is to define the vectors.
Step 2: calculate A and B magnitudes
Step 3: calculate x, y components
Step 4: sum vector components
Step 5: calculate magnitude of R
Step 6: calculate direction of R
What is a vectorA vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity.
Examples of vectors in nature are velocity, momentum, force, electromagnetic fields and weight. A quantity or phenomenon that exhibits magnitude only, with no specific direction, is called a scalar. Examples of scalars include speed, mass, electrical resistance and hard drive storage capacity.
What are vector attributesVectors are typically represented by an arrow with a beginning, or tail, and an end, or head, that is usually represented by an arrowhead. Vectors delineate the movement from point A to point B and can be defined as an entity with a designation, such as vector a.
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What is the domain of the relation (see the screenshot)
___ <= x <= 6
a. -6
b. 4
c. -4
d. 6
Answer:
domain : - 4 ≤ x ≤ 6
Step-by-step explanation:
the domain is the values of x that cover the graph
the solid black circles indicate that x can equal these values, in this case x = - 4 and x = 6
all other values of x between these points are included in the domain, so
domain : - 4 ≤ x ≤ 6
How many solutions are there to the equation x1 x2 x3 x4 11?
The given equation is of form : x1+x2+...+xn = k, where x1>=m1, x2>=m2 and so on, this is typical equation which can be mapped to questions like :
Q)You have n candies and you want to distribute it to k children where each child gets at least m candies or in other words n same candies in k different boxes, where each box must have certain number of candies.
In your case m1=m2=...=mn= 0(or 1 based on your definition of natural numbers, lets first solve for condition where lower bound is 0).
This solution is simple, (n-1+k C k) which gives (3-1+11 C 11) = 78 as answer.
Now, the case for which we start natural numbers with 1 :
First we need to reduce it to previous formula. This can be done by making the lower bounds as 0 or to say lets first distribute minimum number of candies to children.Now we are left with k-m1-m2...-mn candies, so equation reduces to :
x1+x2+...+xn = k-m1-m2...-mn
or in your case x1+x2+x3 = (11-3) = 8
Now, using the previous formula (3-1+8 C 8) = 45.Which is required solution.
Number of solution in system EquationA linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R, a, and b ≠ 0. When we consider a system of linear equations, we can find the number of solutions by comparing the coefficients of the variables of the equations. Also, we can find the number of solutions by the graphical method.
Three Types of Solutions of a System of Linear EquationsConsider the pair of linear equations in two variables x and y.
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.
2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables
3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.
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There are four squares and 20 triangles what is the simplest ratio of squares to triangles
When you simplify an algebraic expression like a53⋅a14 , you know that the bases of the expressions must be the same. You also need to rewrite the exponents so that they have a common denominator. Explain why you need to find the common denominator to simplify
To simplify, you must add the exponents. To add or subtract fractions, the denominator must be the same.
In expression [tex]a^\frac{5}{3}[/tex] and [tex]a^\frac{1}{4}[/tex] if you have to solve this you have to first add them according to the rule of indices ([tex]a^2 * a^4 = a^6[/tex]).
[tex]a^\frac{5}{3} * a^\frac{1}{4} = a^\frac{5*4 + 3*1 }{4*3} \\\\a^\frac{20 + 3}{12} \\\\a^\frac{23}{12}[/tex]
The components of a number array are described using index notation in both mathematics and computer programming. Using indices has varying degrees of formality depending on the subject. Specifically, depending on whether one is writing a formal academic article for publication or when one is building a computer program, there are several ways to refer to the components of a list, a vector, or a matrix.
Exponentiation is a mathematical operation that involves the base b and the exponent or power n. It is written as bⁿ and is pronounced as "bⁿ." Exponentiation corresponds to base multiplication when n is a positive integer; therefore, bⁿ is the result of multiplying n bases:
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The terminal ray of ZA passes through the point (10, — 4).
Answer:
In standard position, the terminal ray of angle A passes through the point (10,-4) on the coordinate plane. The distance of the point (10, -4) from the origin (0,0) is the hypotenuse of a right triangle. The horizontal distance of the point from the y-axis is the x-coordinate, which is 10, and the vertical distance of the point from the x-axis is the y-coordinate, which is -4.
The secant of an angle is the ratio of the hypotenuse (c) to the adjacent side (a). In this case, the hypotenuse is the distance between the point (10, -4) and the origin (0,0) and the adjacent side is the x-coordinate which is 10.
So sec(A) = c/a = √(10² + (-4)²)/10 = √(100+16)/10 = √116/10 = √29/5
So sec(A) = √29/5 which is the simplified form.
farmer brown had ducks and cows. one day he noticed that the animals had a total of 13 heads and 46 feet. how many of the animals were cows?
Farmer brown had ducks and cows having a total of 13 heads and 46 feet, which means there are 10 cows and 3 ducks.
This is an algebraic problem that can be solved using a system of equations.
Let x be the number of cows and y be the number of ducks. We know from the problem statement that:
x + y = 13 (the number of heads)
4x + 2y = 46 (the number of feet)
We can use the first equation to solve for one of the variables in terms of the other.
For example, if we subtract y from both sides of the equation we get:
x = 13 - y
We can substitute this expression for x into the second equation:
4(13 - y) + 2y = 46
Simplifying, we get:
52 - 4y + 2y = 46
which gives us:
-4y = -6
then we get:
y=3
Now we can use this value of y to solve for x in terms of y:
x = 13 - y
x = 13 - 3
x = 10
Therefore, there are 10 cows and 3 ducks.
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I need some help wit this
Answer: 1. A, B, D, 2. A, D
Step-by-step explanation:
Substitute the points into the equation:
1. A, B, D,
2. A, D
Help quickly please! (20 points)
Answer:
A
Step-by-step explanation:
A
first add the distanity of the hours and miles next add the numbers in the chart then divide and subtract the final number
Unit 4 homework 7
Please help
It is proved that triangle ABC≅ triangle DEC. The solution has been obtained using the AAS congruency of triangles.
What is AAS congruency of triangles?
Angle-Angle-Side is referred to as AAS. The triangles are said to be congruent if two of a triangle's angles and one of its non-included sides are equal to the equivalent angles and sides of another triangle.
We are given ∠BAC ≅ ∠EDC
And, BC ≅ CE
We know that the vertically opposite angles are equal,
So, ∠ACB ≅ ∠DCE
Thus, by angle-angle-side congruency,
Triangle ABC≅ Triangle DEC
Hence, triangle ABC≅ triangle DEC by AAS congruency.
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Since, there are multiple questions so the question I answered is attached below.
The length of a rectangle is 5 less than 3 times the width. Find the dimension of the
rectangle (L and W) if the perimeter is 70 (remember perimeter- 2L+2W)
What do you know about m∠Y?
Please give brief explanation. Thank you.
A) m∠Y > 72°
B) m∠Y < 72°
C) There is not enough information to determine m∠Y.
D) m∠Y = 72°
Note that in the above problem, m∠Y > 72°. This problem can be approached with logic and Physics. (Option A)
What is the logic that justifies the above answer?Usually, you would require at least two sides to solve for an angle. However, without out that information lets examine what we know.
1) It is given that in Δ UVW, the side opposite UW is 36cm;
2) we know that in ΔXYZ the side opposite XZ is 39cm.
3) we know that both triangles are similar in that they are scalene triangles
4) we know that they have similar sides that is:
UV ≅ XY; and
VW ≅ YZ
5) ∠V = 72°
Given item 4, since all other factors between both triangles are similar, the logic of physics suggests that extending XZ will increase ∠Y and vice versa.
Since we know that XZ is 39cm (that is 3cm longer than UW), it therefore is logical to expect m∠Y to be larger than the angle to which it is similar in ΔUVW which is ∠V.
Thus, the correct answer is m∠Y> 72° (Option A)
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Suppose that the two-dimensional vectors (X1, Y1), (X2, Y2),. , (Xn, Yn) form a random sample from a bivariate normal distribution for which the means of X and Y are unknown but the variances of X and Y and the correlation between X and Y are known. Find the M. L. E. ’s of the means
The MLE’s of the means of X and Y in a bivariate normal distribution, given the variances of X and Y and the correlation between X and Y, can be found by solving the equations ∑(Xn-µx)/σx2 = 0 and ∑(Yn-µy)/σy2 = 0 for µx and µy. The solutions are µx = (1/n)∑Xn and µy = (1/n)∑Yn.
Let µx and µy be the means of X and Y, respectively.
The MLE of µx and µy can be found by maximizing the joint likelihood function:
L(µx, µy) = (2πσxσy√(1-ρ2))-n/2 exp{-1/2[∑(Xn-µx)2/σx2 + ∑(Yn-µy)2/σy2 - 2ρ(∑(Xn-µx)(Yn-µy)/(σxσy))]}
Taking the partial derivatives of L with respect to µx and µy and setting them to zero yields the equations
∑(Xn-µx)/σx2 = 0
∑(Yn-µy)/σy2 = 0
Solving these equations yields the MLE’s of µx and µy:
µx = (1/n)∑Xn
µy = (1/n)∑Yn
The MLE’s of the means of X and Y in a bivariate normal distribution, given the variances of X and Y and the correlation between X and Y, can be found by solving the equations ∑(Xn-µx)/σx2 = 0 and ∑(Yn-µy)/σy2 = 0 for µx and µy. The solutions are µx = (1/n)∑Xn and µy = (1/n)∑Yn.
The complete question is :
Suppose that the two-dimensional vectors (X1, Y1), (X2, Y2),. , (Xn, Yn) form a random sample from a bivariate normal distribution for which the means of X and Y are unknown but the variances of X and Y and the correlation between X and Y are known. Find the M. L. E. ’s of the means of X and Y.
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express x ≥ 23 in number line
Answer:2x3=5
Step-by-step explanation:3x8=1234
In the Diagram of triangle CDE, F is the midpoint of CE and G is the midpoint of DE. If FG = - 4x+34 and CD = 48-4X, what is the measurement of CD?
A.5
B.14.
C.15.5
D. 28.
If line segment FG = - 4x+34 and line segment CD = 48-4X, the measurement of CD is equal to: D. 28.
What is the midpoint theorem?In Mathematics, the midpoint theorem states that in a triangle, the line segment which joins the midpoints of any two (2) sides of the triangle must be parallel to the third side and congruent to half of the length of the third side.
By applying the midpoint theorem to triangle CDE, the measurement of CD can be calculated as follows;
CD = 2(FG)
48 - 4x = 2(-4x + 34)
Next, we would open the bracket by applying the distributive property;
48 - 4x = -8x + 68
8x - 4x = 68 - 48
4x = 20
x = 20/4
x = 5.
Now, we can calculate the measurement of CD in triangle CDE;
CD = 48 - 4x
CD = 48 - 4(5)
CD = 48 - 20
CD = 28
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What is the description method of sinigang?
(Description method set)
Answer:
Sinigang is a sour soup native to the Philippines. This recipe uses pork as the main ingredient. Other proteins and seafood can also be used.
Step-by-step explanation:
Part A
A function f(x)=x3 is transformed into the function g(x)=2x−43+5. Name and explain in complete sentences the transformations that occurred to the parent cube root function.
Part B
How is the general shape of a cube root function different from the shape of a square root function?
Answer:
The graph of g(x) will be shifted 4 units up and 1 unit to the right
Step-by-step explanation:
The parent function f(x) = x^3 is transformed to g(x) = (x – 1)^3 + 4
Parent function f(x)= x^3
If any number is added at the end then the graph will be shifted up
If any number is subtracted from x then graph will be shifted right
f(x)----> f(x) + a (shifted 'a' units up)
f(x) ----> f(x-a) (shifted 'a' units right)
g(x) = (x – 1)^3 + 4
The graph of g(x) will be shifted 4 units up and 1 unit to the right
the graph is attached below
What is the K value in vertex form?
When expressed in "vertex form," the parabola's vertex is (h, k), and the axis of symmetry is x = h. The h stands for a horizontal shift, or how far the graph has moved left or right from x = 0. The k value for a vertical shift, or how high or low the graph has moved in relation to y = 0.
What is the value of k in a quadratic equation?It is important to understand that what a quadratic equation can only have equal and real roots if its discriminant equals zero. To prevent errors and ensure that we obtain the proper answer for K, we need carefully employ the discriminant formula for a quadratic equation.
The equation of the second degree is a quadratic equation. This indicates that it contains a phrase that is squared, at least once. ax² + bx + c = 0, which uses constants or numerical coefficients for the variables a, b, and c, is one of the classic formulae for solving quadratic equations. Unknown variable 'x' is used here.
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What is a value of 7 inches to the nearest hundredth?
Answer:
2.65
Step-by-step explanation:
Using a calculator's square root key, we get √7 = 2.64575....
To the nearest hundredth, that'd be √7 = 2.65.
What is the speed of the car if it travels 200 kilometer in 2 hours *?
The speed of the car is 100 kilometers per hour, since it traveled 200 kilometers in 2 hours.
Speed = Distance/Time
Speed = 200 kilometers/2 hours
Speed = 100 kilometers/hour
The speed of a car is determined by dividing the distance traveled by the amount of time it took to travel that distance. In this case, the car traveled 200 kilometers in 2 hours. To calculate the speed of the car, we divide the distance (200 kilometers) by the time (2 hours). This gives us 100 kilometers per hour, which is the speed of the car. In other words, the car traveled 100 kilometers in 1 hour.
The speed of a car is an important factor in determining how fast a car can go. It is also important to consider other factors such as the weight of the car, the type of fuel it uses, and the road conditions. All of these factors can affect the speed of the car and should be taken into account when calculating the speed of a car. Knowing the speed of the car can help drivers make better decisions about their speed and can help prevent accident
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A shipping box is in the shape of a cube. What is the volume of the shipping box in terms of m and n? Write the variables in alphabetical order.
The volume of cube with edge m is,
⇒ V = m³
What is mean by Cube?A cube is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve equal edges is called cube.
Given that;
A shipping box is in the shape of a cube.
Now, Let an edge of the shipping box = m
So, The volume of the shipping box is,
⇒ V = m × m × m
⇒ V = m³
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Answer:
64m^24n^12
Step-by-step explanation:
(5x-3)(5x-3) product of sum or difference
(5x-3)(5x-3) is a product of two binomials, which can be expanded using the distributive property.
What is an example of distributive property?
A value is multiplied by a sum to leverage the distributive property of multiplication over addition. Take the case where you want to multiply 5 by the sum of 10 + 3. We frequently add the two sums when two terms are similar instead of multiplying by 5. However, the attribute states that you must first raise each addend by 5..
To expand, you would multiply each term in the first binomial (5x-3) by each term in the second binomial (5x-3) and then add the products.
(5x-3)(5x-3) = (5x)(5x) + (5x)(-3) + (-3)(5x) + (-3)(-3)
= 25x^2 - 15x + 15x - 9
= 25x^2 - 9
So the expanded form of (5x-3)(5x-3) is 25x^2 - 9.
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Given f(x) = -x² + 5x - 18, find f(-3)
Answer:
f(-3) = -42
Step-by-step explanation:
Substitute X in the function definition:
f(-3) = -(-3)² + 5(-3) - 18
f(-3) = -9 - 15 - 18
f(-3) = -42
what is the sum of 7x/x²-4 and 2/xt2?
Answer: i might be wronge but 9x - 4 / x^2
Step-by-step explanation: