Name the intersection of XW and WV
Create two expressions using the following criteria:
Include one expression that contains rational exponents that can be simplified further. Provide the simplified form to your instructor.
Include one expression that contains radicals that can be simplified further. Provide the simplified form to your instructor.
The Answer to the about question rational exponents and radicals is given below.
How to solve this question?To solve the first part Let us assume a expression (E) that contains rational exponents
E = 6² / ( 9[tex]\frac{2}{3}[/tex] × 3[tex]\frac{5}{3}[/tex] )
E = 6² / ( (3²)[tex]\frac{2}{3}[/tex] × 3[tex]\frac{5}{3}[/tex] )
E = 6² / ( 3[tex]\frac{4}{3}[/tex] × 3[tex]\frac{5}{3}[/tex] )
E = 6² / 3[tex]\frac{9}{3}[/tex]
E = 6² / 3³
E = 36/27 = 4/3
E = 4/3
To solve the second part Let us assume a expression (F) that contains radicals.
F = 10 × √(∛(59 +5))
F = 10 × √(∛64)
F = 10 × √(∛(4×4×4))
F = 10 × √4
F = 10 × √(2×2)
F = 10 × 2
F = 20
Thus we have simplified the expression that contains rational exponents and also the expression that contains radicals also.
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To simplify an expression with rational exponents, we multiply the exponents together. To simplify an expression with radicals, we can find the square root of the number.
Explanation:An expression with rational exponents that can be simplified further is:
To simplify this expression, we can use the rule that states when we raise an exponent to another exponent, we multiply the exponents together. Therefore, (161/4)3/2 = 161/4 * 3/2 = 163/8.
An expression with radicals that can be simplified further is:
To simplify this expression, we can find the square root of 32. The square root of 32 can be simplified as follows: √(32) = √(16 * 2) = √(16) * √(2) = 4√(2).
what is (4a-3)^2 simplified
Convert this number to a percent. .000103 = _____
What is the additive inverse of 38
In rectangle ABCD, the length of BD is 10x + 8 and the length of AC is 9x + 20. What is the value of x ?
In rectangle ABCD, the value of x, given that the lengths of the diagonals BD and AC are expressed as 10x + 8 and 9x + 20 respectively, is 12.
Explanation:SolutionIn a rectangle, the diagonals are equal in length. This gives us the following equation,
10x + 8 = 9x + 20, where BD and AC represent the lengths of the diagonals respectively.
To solve this for x, we subtract 9x from both sides, which gives: x + 8 = 20. Then, subtracting 8 from both sides of the equation gives: x = 20 - 8 = 12.
So, the value of x that suits this rectangle is 12.
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The measure of an angle is equal to the meausure of its complement. find the degree measure of the angle
What is the slope intercept form of the equation of the line with a slope of 1/4 and y intercept at the origin?
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Given the system of equations, what is the solution?
3x - 2y + 10 = 0
5y = 4x + 8
A.){(-34/7, 16/7)}
B.){(34/7, -16/7)}
C.){(-34/7, -16/7)}
I can confirm that Option C is correct, just finished the assignment.
a survey asked stamp collectors how many stamps they have in their collection the box plot summarizes the response between what two numbers do the upper fourth of the responses fall
93 and 110
75 and 93
70 and 110
40 and 70
Answer:
93 and 110 upper fourth
Step-by-step explanation:
Q3 is at 93 and the max number is at 110 so the upper fourth should fall between 93 and 110, the middle half of the responses will fall between 70 and 93 and the lower fourth of the responses will fall between 40 and 70
What is the slope of the line tangent to the curve 3y2 - 2x2 = 6 - 2xy at the point (3,2)?
Answer: The slope of the tangent line at the point (3, 2) is [tex]\dfrac[4}{9}.[/tex]
Step-by-step explanation: We are given to find the slope of the line tangent to the following curve at the point (3, 2).
[tex]3y^2-2x^2=6-2xy~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that the derivative of a function at any given point is equal to the slope of the tangent at that point.
Now, differentiating both sides of equation (i) with respect to x, we have
[tex]\dfrac{d}{dx}(3y^2-2x^2)=\dfrac{d}{dx}(6-2xy)\\\\\\\Rightarrow 6y\dfrac{dy}{dx}-4x=0-2\left(y+x\dfrac{dy}{dx}\right)\\\\\\\Rightarrow 2x\dfrac{dy}{dx}+6y\dfrac{dy}{dx}=4x-2y\\\\\\\Rightarrow \dfrac{dy}{dx}=\dfrac{4x-2y}{2x+6y}\\\\\\\Rightarrow \dfrac{dy}{dx}=\dfrac{2x-y}{x+3y}.[/tex]
So, at the point (3, 2), we get
[tex]\dfrac{dy}{dx}=\dfrac{2\times3-2}{3+3\times2}=\dfrac{6-2}{3+6}=\dfrac{4}{9}.[/tex]
Thus, the slope of the tangent line at the point (3, 2) is [tex]\dfrac{4}{9}.[/tex]
The slope of the tangent at point (3,2) will be ([tex]5\div 18[/tex]) and it can be evaluated by differentiating the given equation of curve.
Given :
Curve - [tex]3y^2-2x^2=6-2xy[/tex] ---- (1)Point - (3,2)To determine the slope of the tangent, differentiation of the given equation of curve is carried out.
Differentiating equation (1) with respect to x.
[tex]\dfrac{d}{dx}(3y^2-2x^2) = \dfrac{d}{dx}(6-2xy)[/tex]
[tex]6y \dfrac{dy}{dx}-4x = 0-2y-2x\dfrac{dy}{dx}[/tex]
Now, further simplification of the above equation gives:
[tex]\dfrac{dy}{dx}(6y+2x)=4x-2y[/tex]
[tex]\dfrac{dy}{dx}= \dfrac{4x-2y}{6y+2x}[/tex]
Now, at point (3,2) the slope of the tangent will be:
[tex]m = \dfrac{4\times 3-2\times 2}{6\times 2+2\times3}[/tex]
[tex]m = \dfrac{5}{18}[/tex]
So, the slope of the tangent at point (3,2) will be ([tex]5\div 18[/tex]).
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Suppose three candidates are running in the texas democratic primary for governor. what happens if candidate x wins 45% of the vote, candidate y receives 30% of the vote, and candidate z wins 25% of the vote?
Final answer:
Since no candidate won an absolute majority in the Texas Democratic Primary for governor, a runoff election is necessitated between Candidate X and Candidate Y, the top two vote-getters, to ensure the nominee is chosen by a majority.
Explanation:
In the scenario where Candidate X wins 45% of the vote, Candidate Y receives 30%, and Candidate Z wins 25% in the Texas Democratic Primary for governor, no candidate has achieved an absolute majority, as required by Texas law to win the primary outright. An absolute majority means that a candidate must have more than 50% of the votes, specifically fifty percent plus one vote. Since this did not happen, a runoff election is triggered.
The runoff will take place between the two candidates who received the most votes, which in this case, would be Candidate X and Candidate Y. This runoff ensures that the final nominee for governor from the Democratic Party will have the support of a majority of its voters, reflecting a more democratic outcome. The system prevents a candidate from winning the primary nomination with only a plurality of the vote, which could be less representative of the party's voters as a whole.
Simplify.
i^74
1
i
−i
−1
Actually the real answer is:
-1.
If 20 pounds of flour were needed to make 31 pounds of bread, how many pounds of other ingredients would be needed to produce 60 pounds of bread?
2(4x-3)-8=4+2x solving equations plz help ASAP show work and ill give brainliest
1. Pressure P (in pounds per square foot) on a diver at a depth of D feet. Solve for D: P=64d+2112
2. The selling price of a pair of pants is $34. If the store paid $8 less for the pants, find the price the store paid.
3. The sum of three numbers is 123. The second number is 9 less than two times the first number. The third number is 6 more than three times the first number. Find the three numbers.
Which defines a circle?
A circle is defined as all co-planar points equidistant from a given point
Further Explanation; Circle A circle is a shape with all points the same distance from its center. It is one of the important shapes in geometry.A circle locus would be defined as a set of points at a given distance from a given point in a 2-dimensional plane.The given distance is the radius and the given points is the center of the circle.The diameter of a circle is equal to twice its radius (d equals 2 times r). The circumference of a circle is the line that goes around the center of the circle.An angle An angle is defined as the union of two rays with a common endpoint.The common end point is known as the vertex of the angle while the rays are known as the sides of the angle.Line segmentA line segment is a piece of a line that has two endpoints.
A rayIt is a part of a line with one end point and proceeds on in one direction.
A lineA line refers to collection of line along a straight path proceeding in opposite directions with no endpoints.
Keywords; Co-planar points, circle, end pointsLearn more about;Co-planar points: brainly.com/question/10672783A circle: https://brainly.com/question/1745042Line segment: https://brainly.com/question/1745042A ray: https://brainly.com/question/1745042A line: https://brainly.com/question/1745042Level: Middle school
Subject: Geometry
Topic: Shapes and terms in geometry
Tim has a box of 15 markers. He gives 3 markers each to 4 friends. What expression can show the number of markers Tim has left?
A store sells self-serve frozen yogurt sundaes the function C(w) represents the cost, in dollars, of a sundae weighing w ounces. An appropriate domain for the function would be
A. Integers
B. Rational numbers
C. nonnegative integers
D. nonnegative rational numbers
Answer:
D.Non negtaive rational numbers.
Step-by-step explanation:
Given
A store sells self serve frozen yogurt and weight of yogurt taken in ounces.
The function C(w) represents the cost , in dollars .
The given yogurt can be measured in gram or kilogram or ounces etc.
The quantity of yogurt can not be negative because quantity is always a positive number . So it can not be a negative number
The quantity is defined as the amount of any material or substance .
The quantity is always a positive number . It can not be negative value of a number.
Here, the quantity is taken in ounces so it is a positive number .
The quantity of any material can be natural number or positive rational number .
Hence,the domain for the function C(w) are non negative rational numbers.
An appropriate domain for the function would be non negtaive rational numbers .
Therefore, the correct answer is option D.
HELP ME PLEASE!!!!
Which function represents the data in the table
A) f(x) = 3/2x - 2
B) f(x) = 3x + 2
C) f(x) = 3/2x + 2
D) f(x) = 3x - 2
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit? a.13.4 units b.17.9 units c.26.8 units d.40.0 units
A coordinate plane is a graphical image that shows two number lines. These number lines have a y-axis and x-axis. The y-axis is the vertical number line and the x-axis is the horizontal number line.
The perimeter of the rectangle is 26.8 units
We would be applying Pythagoras Theorem to find the length and breadth of the rectangle.
Pythagoras Theorem states that:
c² = a² + b²
Note that c = The length or breadth of the rectangle
Step 1 : Looking at upper part, and dividing the rectangle into a triangle,We have 4 units and 8 units.
a = 4 units
b = 8 units
Using the Pythagorean Theorem, you can calculate the length of the hypotenuse to be
c² = 4² + 8²
c² = 80
c = √ 80
c = 8.9 units
Applying this to the lower part,
We have 4 units and 2 units.
a = 2 units
b = 4 units
Using the Pythagorean Theorem, you can calculate the length of the hypotenuse to be
c² = 2² + 4²
c² = 20
c = √20
c = 4.5 units
Step 2: We find the Perimeter of a rectangleFormula = 2L + 2B
Where
L = Length = 8.9 units
B = Breadth = 4.5 units
Hence:
8.9 x 2 + 4.5 x2 = 26.8 units
Therefore, the perimeter of the rectangle is 26.8 units
Option C is the correct answer
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(42 pts) What is the value of g(−3) when g(x)=2x−2 ? Enter your answer in the box.
equation = g(x) = 2x-2
when g(-3) replace x with -3
so you get g(-3) = 2(-3)-2
2*-3 = -6-2 = -8
g(-3) = -8
A wire 360 in. long is cut into two pieces. one piece is formed into a square and the other into a circle. if the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?
The length of piece of wire for square = 230 inches
The length of piece of wire for circle = 130 inches.
The given length of wire = 360 inches
Now let it cuts into lengths r' and r
Therefore,
⇒ r' + r = 360 ...(i)
Now let with length r' square is formed
Therefore,
Area of square = r'xr'
= (r')²
And with length of r circle is formed,
Area of circle = π r²
According to the question
Both area are same,
⇒ (r')² = π r²
Taking square root both sides,
⇒ r' = √π r ......(ii)
Now from (i) and (ii);
⇒ √π r + r = 360
⇒ r(1 + √π) = 360
⇒ 2.77 r = 360
⇒ r = 129.96 ≈ 130 in
Then r' = 360 - 130
= 230
Hence length are 130 inches and 230 inches.
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(y-2) = 3(×-1) what's the slope
Divide. write your answer in simplest form. ÷34 710
The simplest form of 34 / 710 is 17 / 355.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.
Given that the expression 34 / 710.
Now to write the above expression in simple form, we divide the numerator and denominator by 2
34 / 710 = 34/ 2 ÷ 710 / 2
34 / 710 = 17 / 355
Now the above expression is not easily divisible by any number.
Therefore, The simplest form of 34 / 710 is 17 / 355.
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There are three bags, each containing two marbles. bag a contains two white marbles, bag b contains two black marbles, and bag c contains exactly one white marble and one black marble. you pick a bag at random and take out a white marble. what is the probability that the remaining marble from the same bag is also white?
Triangle PQR has vertices at the following coordinates : P(0,1) Q(3,2) R(5,-4) . Determine wether or not triangle PQR is a right triangle . Show all calculations for full credit .
The sum of the squares of two sides is not equal to the square of the third side, the triangle PQR is not a right triangle.
What is Pythagoras Theorem?According to Pythagoras Theorem, in a right angled triangle the square of the side opposite to the right angle is equal to the sum of squares of the other two sides.
Height² + Base² = Hypotenuse²
If a triangle is a right angle, then its sides should satisfy Pythagoras theorem.
The distance formula will be used to determine the length of the sides.
PQ² = ( 3 - 0)² + (2-1)²
PQ² = 10
PQ = √10
RQ² = ( 5 - 3)² + (-4-2)²
RQ² = 40
RQ = √40
RP² = ( 5 - 0)² + (-4-1)²
RQ² = 25 + 36
RQ² = 61
Applying the Pythagoras's Theorem,
61 ≠ 40 + 10
Therefore, it is not a right angled triangle.
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Evaluate this exponential expression
What is the solution for -3x - 18 + 5x - 2