Nick has failed to meet the condition that n p hat greater-than-or-equal-to 10 and n (1 minus p hat) greater-than-or-equal-to 10.
In order for the Central Limit Theorem to be applied and for the sample proportion to be approximately normally distributed, the sample size must be at least 30. This means that the sample size must be large enough so that the sample proportion of healthy breakfast eaters (p hat) and the sample proportion of non-healthy breakfast eaters (1-p hat) are both greater than or equal to 10. In this case, since the sample proportion of healthy breakfast eaters is 20/25 = 0.8, the sample proportion of non-healthy breakfast eaters is 5/25 = 0.2. Since 5 is less than 10, this condition is not met, and Nick cannot construct a confidence interval for p.
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Given: GH is parallel to KL; GJ is congruent to KJProve: J is the midpoint of HLThe shape is an hour glass figure. GH on the left side J in the middle and LK on the right side.
The distance between J and L is (Gx/2)2 + (Gy/2)2. This proves that J is the midpoint of HL.
Given: GH is parallel to KL and GJ is congruent to K
To prove: J is the midpoint of HL
We can use the Midpoint Formula to prove that J is the midpoint of HL. The midpoint formula states that the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates. In this case, the x-coordinate of J is (Gx + Kx) ÷ 2 and the y-coordinate of J is (Gy + Ky) ÷ 2. Since GH and KL are parallel, Gx = Kx and Gy = Ky. Therefore, the x-coordinate of J is (Gx + Kx) ÷ 2 = Gx ÷ 2 and the y-coordinate of J is (Gy + Ky) ÷ 2 = Gy ÷ 2. Since GJ is congruent to KJ, Gx = Kx and Gy = Ky. Therefore, J is the midpoint of HL.
We can also use Distance Formula to prove that J is the midpoint of HL. The distance formula states that the distance between two points is the square root of the difference of the x-coordinates squared plus the difference of the y-coordinates squared. In this case, the distance between G and J is the square root of (Gx - Jx)2 + (Gy - Jy)2. Since GJ is congruent to KJ, Gx = Kx and Gy = Ky. Therefore, the distance between G and J is the square root of (Gx - Jx)2 + (Gy - Jy)2 = (Gx - Gx/2)2 + (Gy - Gy/2)2 which simplifies to (Gx/2)2 + (Gy/2)2. This is the same distance as the distance between J and L, since GJ is congruent to KJ, Gx = Kx and Gy = Ky. Therefore, the distance between J and L is (Gx/2)2 + (Gy/2)2. This proves that J is the midpoint of HL.
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what value will make 7x +ky =35 parallel to 5x-3y+44=0
The value of k that makes the line 7x + ky = 35 parallel to the line 5x - 3y + 44 = 0 is k = -21/5.
How to solve the parallel equation?Two lines are parallel only if their slopes are the same. The slope of a line of the form y = mx + b (where m is the slope and b is the y-intercept) is m. The slope of a straight line of the form ax + by + c = 0 can be found using the formula: The calculation formula for the slope cutting shape will change.
So to find the value of k that makes the line 7x + ky = 35 parallel to the line 5x - 3y + 44 = 0, we need to find the slope of the line 5x - 3y + 44 = 0. To do this, we rearrange the equation into slope-intercept form.
5x - 3y + 44 = 0
-3y = -5x + 44
y = (5/3)x - 14.67
The straight line 5x - 3y + 44 = 0 has a slope of 5/3. In order for the 7x + ky = 35 line to be parallel to this line, the slope of 7x + ky = 35 must also be 5/3. To find the slope of 7x + ky = 35, rearrange the formula into slope-intercept form.
7x+ky=35
y = -(7/k)x + 35/k
Setting the slope of the line 7x + ky = 35 equal to the slope of the line 5x - 3y + 44 = 0 gives:
-(7/k) = 5/3
-7/k = 5/3
-7 * 3 = 5 * k
-21 = 5k
k = -21/5
Therefore, the value of k that makes the line 7x + ky = 35 parallel to the line 5x - 3y + 44 = 0 is k = -21/5.
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Given that 2log (x^2 y)=3 + logx- log y where x and y are both positive, express y in terms of x. If x-y=3, find the value of x and of y.
The values of x and y for the given logarithmic function, 2 log (x²y) = 3 + logx - logy are respectively, 13/2 and 7/2
What is a logarithmic function ?The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.
Formulae for logarithmic function are,
LogAB = LogA + LogB
Logₐaᵇ = b
Given that,
the logarithmic function,
2 log (x²y) = 3 + logx - logy
x - y = 3 .....................(i)
2 log (x²y) = 3 + logx - logy
2[ logx² + logy] = 3 + logx - logy
2[ 2logx + logy] = 3 + logx - logy
4logx + 2logy = 3 + logx - logy
3logx + 3logy = 3
logx + logy = 1
logx + logy = log10
x + y = 10 .............(ii)
By solving the equation (i) & (ii)
x - y = 3
x + y = 10
2x = 13
x = 13/2
13/2 - y = 3
y = 7/2
Hence, the values of x and y is, 13/2 and 7/2
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A shipment of 12 tons of sugar is separated into containers of equal size. If the shipment fills 5 2/5 containers, how much sugar can one container hold?
Answer:
69
Step-by-step explanation:
because there is 52/5thats we have to add and write the answer so the end is 57
HOW can you use a bar diagram to show a percent of change?
There are two ways in which one can show percent of change in bar diagram: Input helper column using error bars, and arrows of error bar.
What are bar diagrams?Diagrams known as bar diagrams are ones in which data is shown using bars and rectangles.
First, an input helper column as indicated in the data below in order to produce a column chart with percentage change using error bars, and then base the chart on the helper data.
Second, use some arrows in place of the error bars; if the data rises in the following year, an up arrow is shown; if it falls in the following year, a down arrow is shown. The arrows and data labels will both be dynamically altered when the data changes at the same time.
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Write a general expression for the electric potential V at any point on the y-axis inside the triangle in terms of Q,l , and y.
The electric potential V at any point on the y-axis inside the triangle can be expressed in terms of the charge Q, the length of the triangle l, and the distance y from the origin. The expression is V(y) = (Q/2l)y - (Q/2l)(2l-y) = (Q/l)(y - l).
The electric potential V at any point on the y-axis inside the triangle can be expressed in terms of the charge Q, the length of the triangle l, and the distance y from the origin. To find the expression, first note that the total charge of the triangle is Q, and the electric potential at the origin is 0. The distance from the origin to the top corner of the triangle is 2l. The electric potential at the top corner of the triangle is then equal to the total charge of the triangle divided by the length of the triangle, or Q/2l. The electric potential at any point on the y-axis is then equal to the total charge of the triangle divided by the length of the triangle times the distance from the origin to the point, minus the total charge of the triangle divided by the length of the triangle times the distance from the top corner of the triangle to the point. This gives the expression V(y) = (Q/2l)y - (Q/2l)(2l-y) = (Q/l)(y - l).
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Write a unit rate for the situation. Round to the nearest hundredth if necessary.traveling 212 km in 6 ha) 30.29 km/hb) 35.33 km/hc) 0.03 km/hd) 42.4 km/h
Answer: a) Traveling 212 km in 6 h means the unit rate is:
212 km / 6 h = 35.33 km/h
b) 35.33 km/h is the unit rate as given.
c) Traveling 212 km in 6 h means the unit rate is:
212 km / 6 h = 0.03 km/h
d) 42.4 km/h is the unit rate as given
Step-by-step explanation:
find all solutions $x$ of the inequality$$\frac{5}{24} \left|x-\frac{11}{48}\right| < \frac{5}{16}.$$
The solutions are all real numbers x such that [tex]$$\frac{5}{24}\left(\frac{11}{48}-x\right) < \frac{5}{16} \qquad \text{and} \qquad \frac{5}{24}\left(x-\frac{11}{48}\right) < \frac{5}{16}.$$[/tex]
This is equivalent to
[tex]$$-\frac{5}{8} < x-\frac{11}{48} < \frac{5}{8}.$$[/tex]
Solving for $x$, we get
[tex]$$-\frac{5}{8} < x-\frac{11}{48} < \frac{5}{8}.$$[/tex]
1. We are given the inequality[tex]$\frac{5}{24} \left|x-\frac{11}{48}\right| < \frac{5}{16}$.[/tex]
2. To solve for $x$, we must first rewrite the expression in terms of two inequalities. We do this by separating the absolute value into two parts: [tex]\frac{5}{24}\left(\frac{11}{48}-x\right) < \frac{5}{16}$ and $\frac{5}{24}\left(x-\frac{11}{48}\right) < \frac{5}{16}$.[/tex]
3. Next, we solve each inequality for $x$. We get [tex]-\frac{5}{8} < x-\frac{11}{48} < \frac{5}{8}$.[/tex]
4. Finally, we solve for $x$ and get the solution set [tex]\frac{13}{48} < x < \frac{25}{48}$.[/tex]
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Find the area of the figure.
The area of the figure would be 40 square mm.
What is the area of a figure?
The area of a figure is a measure of the amount of space inside a two-dimensional shape. The area of a figure is typically represented by the symbol A, and is usually measured in square units, such as square inches or square centimeters.
In the given figure, there are four triangles.
Two of them have the same area and other two have the same area
Area of one triangle = 1/2 * height * breadth
= 1/2 * 4 * 6
= 12
Area of other triangle = 1/2 * height * breadth
= 1/2 * 4 * 4
= 8
Area of figure = 2 * 12 + 2 * 8
= 24 + 16
= 40 square mm.
Hence, the area of the figure would be 40 square mm.
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Which correlation can you draw from the following scatterplot?
a. The warmer the air temperature, the more people there are in the pool.
b. The warmer the air temperature, the fewer people there are in the pool.
c. As the air temperature increased, most people left the pool.
d. There is no visible correlation between air temperature and the number of people in the pool.
The correlation is that; The warmer the air temperature, the more people there are in the pool. Option A
What is the correlation?We know that the correlation would help us to obtain the relationship that we have between the two variables that have been shown in the scatter plot.
The correlation coefficient is the determinat of the relationship between the variables. As we look at the scatter plot that have been shown here, we would need to use it to know the way that the air temperature and the people in the pool are related.
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write an equation for the degree four polynomial graphed below
The polynomial function which represent the given graph is P(x)= -1/8 (x+1)(x+4)(x-1)(x-2)².
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
From the given graph, zeros are x=2, x=1, x=-1 and x=-4.
The equation of a polynomial having x intercepts a₁,a₂,…,aₙ is [tex]P(x)=a(x-a_1)^{P_1}(x-a_2)^{P_2}....(x-a_n)^{P_n}[/tex].
Where P₁,P₂,…,Pₙ are the powers of the factors of the polynomial, which depend upon the behavior of the graph of the polynomial.
At this point x=-1, x=-4 and x=1 the graph passes through the axis linearly, therefore, the corresponding factor of the polynomial must be linear.
At x=2, the behavior of the polynomial is bouncing in nature, suggesting the corresponding factor of the polynomial having a second degree.
Now, the equation of the polynomial can be written as shown below:
P(x)=a(x+1)(x+4)(x-1)(x-2)²
The polynomial passes through the point (0, 2), therefore
2=a(0+1)(0+4)(0-1)(0-2)²
2=a(1)(4)(-1)(4)
2=-16a
a=-1/8
Now, P(x)= -1/8 (x+1)(x+4)(x-1)(x-2)²
Therefore, the polynomial function which represent the given graph is P(x)= -1/8 (x+1)(x+4)(x-1)(x-2)².
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at times, the relationship between a dependent and an independent variable is expressed as a logarithmic equation. given the two equations below, what is the relationship between x and y? equation 1: log36
The relationship between x and y as a logarithmic equation is: y = log_36 9 = 2.
The relationship between x and y can be expressed as a logarithmic equation. Let's take a look at the two equations:
Equation 1: log36
To calculate the relationship between x and y, we will use the logarithmic property: logb(x) = y ⇔ b^y = x
From equation 1, we can solve for y:
log36 = y
⇒ 36^y = 36
⇒ y = 1
Therefore, the relationship between x and y is: x = 36^1 = 36.
To verify this, we can plug x = 36 into equation 2 and see if it is true:
Equation 2: y = log_x 9
Plugging in x = 36, we have:
y = log_36 9
⇒ y = log_36 3^2
⇒ y = 2
Therefore, the relationship between x and y is: y = log_36 9 = 2.
This confirms that the relationship between x and y is x = 36 and y = 2.
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Suppose you want to choose two colors, without replacement, from the three colors, red, blue, and green.
A) how many ways can this be done, if the order of the choices matters?
B) how many ways can this be done, if the order of the choices does not matter?
Statistics describes the examination of events subject to probability. Choices are therefore 6 and 3.
What is a probability simple definition?How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out.
Statistics describes the examination of events subject to probability.
a) Six options
(b) 3 Options
Given:
(3) Colors
Red, Blue, and Green are the options.
(a) The choices that were considered in the following order:
There are three color options when choosing the first hue.
There are two options when choosing the second color, and so on.
As a result, there are a total of = 3*2 = 6 options.
(b) The order of the options not taken into account:
When selecting this option, we decide on 3*2 and then eliminate duplicates.
Choices are therefore 6/2=3 Choices.
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The diagram shows four angles round a point.
a Write an inequality for x.
b Solve the inequality.
c Explain why the angle labelled xº cannot be a right angle.
For the given figure, The value angle x is 55 ° . A) x + x + 30 + 2x < 360; x < 82.5°.
C) The figure does not permit any right angles of 90 degrees that correspond to the mathematical norms involving opposite angles and angles of a turn. This means that x is not a right angle.
1) Interpreting the question we'll be asking:
In the diagram, a point is surrounded by four angles.
A) Construct a difference for x.
B) Addressing the inequality
C) Describe the reasons why the angle x° is not a straight angle.
2) In response to each query, we shall have:
A) x + x + 30 + 2x < 360
4x < 360 - 30
4x < 330
x < 82.5,
B) x + 2x + x + 30 + 2x = 360
6x = 360 - 30
6x = 330
x = 55
C) A right angle is one that measures 90 degrees; in the problem at hand, x cannot be straight because, in that case, the total of the values shown in the figure would exceed 360, which would be an incorrect representation of the mathematical principles governing opposite angles and angles of a turn.
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Find the smallest positive integer b for which x^2+bx+2008 factors into a product of two binomials, each having integer coefficients.
Answer:
b = 259
Step-by-step explanation:
You want the smallest positive 'b' that makes x² +bx +2008 have integer solutions.
FactorsWhen the polynomial is factored, you have ...
(x +p)(x +q) = x² +(p+q)x +pq
Comparing this to the given expression, we see that ...
p + q = b
pq = 2008
This means the values of p and q will be divisors of 2008.
Factor pairsThe positive integer factor pairs of 2008 are ...
2008 = 1·2008 = 2·1004 = 4·502 = 8·251
The pair with the smallest sum is 8·251. The corresponding sum is ...
8 +251 = 259
The smallest positive value of 'b' that makes x² +bx +2008 have integer solutions is 259.
__
Additional comment
The factorization is x² +259x +2008 = (x +8)(x +251).
Question 3 (5 points)
(05.02)
Solve log x = 2.
O a
Ob
Oc
Od
2
20
100
1,000
Therefore , the solution of the given problem of logarithm comes out to be x =100.
What exactly is a logarithm?Mathematically speaking, the reciprocal of a power is the logarithm. Therefore, the base-b logarithm of a given number, x, is equal to the exponential by which bc must be extended to acquire it. For instance, because 1000 = 103, whose base-10 logarithm, or log10 = 3, is 3. As an example, the square of ten is one hundred, but the base-10 logarithm of ten is two. Log 100 = 2. The mathematical concept of a logarithmic (or log) is used to respond to questions like.
Here,
Given : log x =2
=> log x =2
=> x = antilog (2)
=> x = 100
Therefore , the solution of the given problem of logarithm comes out to be x =100.
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sketch the vector field f. (select update graph to see your response plotted on the screen. select the submit button to grade your response.) f(x, y, z)At(-2,-2,-2) the vector is ___
The vector field f is defined as f(x, y, z) = (-2, -2, -2).
This means that at any point (x, y, z), the vector is (-2, -2, -2). For example, if the point is (1, 2, 3) then the vector is (-2, -2, -2). This can be represented mathematically as f(1, 2, 3) = (-2, -2, -2). At the point (-2, -2, -2), the vector field is (-6, -6, -6). This can be calculated by substituting the given point into the formula. The x-coordinate of the vector is x+y+z = -2+(-2)+(-2) = -6. Similarly, the y-coordinate of the vector is x-y-2z = -2+(-2)-2(-2) = -6, and the z-coordinate of the vector is -2x+y+z = -2(-2)+(-2)+(-2) = -6.The vector field f is constant in all directions, meaning that the same vector is found at any point (x, y, z). This is why the vector field is sometimes referred to as a constant vector field.
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A small bead with a mass of m slides along a semicircular wire with a radius r that rotates about a vertical axis with an angular velocity o-Vgir as shown. When the angle 0 30 the bead remains stationary relative to the rotating wire. The coefficient of static and kinetic friction between the bead and the wire are s and , respectively. Find the force the wire exerts on the bead. and the wire are, and 1ry
A bead's resistance to the wire's force. the wire are, and ry is equal to sqrt(5)mg/2.
What is meant by static friction?The friction between two or more items that is present but not moving in relation to the other objects is known as static friction. Kinetic friction is the resistance that exists between two or more things when they are moving relative to one another. An item is kept at rest by the force of static friction. The phrase "static friction" can be defined as "the friction people perceive when they attempt to move a stationary object on a surface, but without actually causing any relative motion between the body and the surface it is on." Measuring the angle at which an object begins to slide down an incline or ramp is one way to figure out the static coefficient of friction.To learn more about static friction, refer to:
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Please help me I will mark you as a brainliest
The different values of modulus function are 9, 6, 6, 12.
A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. A function with absolute values is another name for it. No matter what input was provided to this function, the outcome is always favorable.
The non-negative value of a real number x, regardless of its sign, is its absolute value (or modulus), | x |. For instance, 5 has an absolute value of 5, and 5 has a value of 5.
Given the modulus function is, |3x|
the values of modulus function is always positive.
The different values for given function are -
x |3x|
-3 9
-2 6
2 6
4 12
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In a particular class of 32 students, 11 are men. What fraction of the students in the class are men?
Please help.
Answer:
11/32 of the students are men.
Step-by-step explanation:
Since there are 11 male students and 32 total, we can use the number 11 as the numerator, and 32 as the denominator.
[tex]\frac{11}{32}[/tex]
The fraction of male students in the class is 11/32.
What is meant by fraction?A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.
Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line. It indicates how many equally sized pieces of the entire thing or collection were removed. The denominator is the quantity listed below the line.
11/32 is the fraction of the students in the class that are men.
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Correct the error in solving system of linear equations
x is 6 and y is 0 are the only solutions to the given pair of linear equations.
What are the linear equations?It is possible to write the given pair as x-3y 6=0. and 2x−3y−12=0
Here, a 1 = 1, b 1 = 3, c 1 = 6, and a 2 = 2, b 2 = 3, c 2 = 12, and eq2 a 2.
a1 = 2
b1 , b2
b 1 = −6
3 = −2 1
therefore a 2
a 1= b 2 b 1.
The given pair of equations is therefore consistent.
In order to solve them graphically, we've
Take x-3y=6=0, x=0y=2, and x=3y=1 into consideration.
Draw a line to connect the points.
Think about 2x3y12=0 x=0y=4 x=3y=2.
Create a line connecting the two points.
x=6 and y=0 are the only solutions to the given pair of linear equations.
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Help me please, it says Module whats the value of Y, I have an exam tomorrow and i need help
The measure of the angle y is 85 degrees
How to determine the measure of yFrom the question, we have the following parameters that can be used in our computation:
The circle
Using the following theorem
The measure of the angle formed by two chords that intersect inside a circle is equal to half the sum of the measure of their intercepted arcs
We have the following equation
1/2(y + 163) = 124
So, we have
y + 163 = 248
Evaluate the like terms
y = 85
Hence, the value of y is 85
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I came across a question in the pigeonhole principle that – Let S be a set of n integers. Show that there is a subset of S, the sum of whose elements is a multiple of n by pigeonhole.
How do I solve this question??
In this case the difference is a multiple of n and as you see the difference is still a sum of some integers subset from 1 to n
What is subset?
If every element of set A is also an element of set B, then set B is a superset of set A and set A is a subset of set B. A and B could be equal; if they are not, then A is a legitimate subset of B. Include refers to the property that one set is a subset of another.
Consider the set{a1,a1+a2,a1+a2+a3,...,a1+a2+...+an}You have a set of n elements .If all remainders in dividing by n, are different, one of the remainders is 0 and we are done .Otherwise two remainders are the same.
In this case the difference is a multiple of n and as you see the difference is still a sum of some integers from 1 to n However I think it would be natural to consider the set{0,a1,a1+a2,a1+a2+a3,…,a1+a2+⋯+an}of n+1 elements, so that there is only one case instead of two.
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Order the side lengths EF, FG, and GE from least to greatest.
(Note that the figure is not drawn to scale.)
G
72°
F
66°
0 < 0 < 0
E
Order of the side lengths EF, FG, and GE from least to greatest is EF < FG < GE.
Give a brief account on Law of Coslnes?When the lengths of two sides and the size of the included angle are known (SAS) or when the lengths of all three sides are known (SSS), the Law of Cosines can be used to determine the remaining components of an oblique (non-right) triangle. We are unable to establish a solvable percentage in either of these scenarios, making it impossible to apply the Law of Sines.
According to the Law of Cosines:
c² = a² + b² - 2ab * cos(C)
With the exception of the third component, which equals zero if C is a straight angle and the Pythagorean Theorem results, this is similar to the Pythagorean Theorem. As a result, the Law of Cosines is a specific case of the Pythagorean Theorem.
Using the Law of Cosines
In the given triangle, we are given the measure of angle G and the length of side FG, so we can use the Law of Cosines to find the lengths of the other sides. The Law of Cosines states that for a triangle with sides a, b, and c and angle C opposite side c, the relationship between the sides and the angle is:
c² = a² + b² - 2ab * cos(C)
Given: angle G = 72°, FG = 6
We can use the Law of Cosines to find the lengths of the other sides:
EF² = FG² + GE² - 2FG * GE * cos(G)
EF = √(6² + GE² - 2 * 6 * GE * cos(72))
FG² = EF² + GE² - 2EF * GE * cos(F)
FG = √(EF² + GE² - 2 * EF * GE * cos(66))
As we don't have any value for GE, we can't calculate the exact values, but as we know that the side opposite to the largest angle is the longest side of a triangle, so we can order the sides as follows:
EF < FG < GE
It means that side GE is the longest side of the triangle, followed by side FG, and side EF is the shortest side of the triangle.
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instructions: complete the following table, columns c and d. use the information from the assigned module readings on the revenue cycle components to explain the tasks and roles of each revenue cycle component listed in columns a and b.
The revenue cycle is the process of generating revenue by providing a product or service to a customer.
It begins with the pre-service phase, when a customer inquires about the product or service, and ends with the post-service phase, when the customer is invoiced and payment is received.
The four components of the revenue cycle are pre-service, service, billing, and post-service.
Pre-service: The pre-service phase involves obtaining the necessary information from the customer, including insurance information and eligibility, to ensure proper billing and payment.
Service: During the service phase, the product or service is provided to the customer.
Billing: In the billing phase, the appropriate charges are calculated and a bill is generated and sent to the customer.
Post-service: In the post-service phase, the customer's payment is received and the revenue is recorded in the organization's accounting system.
The formula for calculating revenue is: Revenue = Price x Quantity. This formula can be used to calculate the total revenue generated from a sale of a product or service. For example, if a company sells 100 items at a price of $5 each, the formula would be: Revenue = $5 x 100 = $500.
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determine whether the triangles are similar by angle-angle similarity. if yes, write a similarity statement.
Congruency is said to be defined on two triangles when they have exact same length of sides and equal angles between them. The shape and size are supposed to be the same even after rotation or flipping of triangles for them to remain congruent.
There are 4 criteria to test the congruency of the triangle and they are as follows:
SAS - This proves congruency when two sides and the angle between them are the same w.r.t both trianglesSSS - Two triangles are congruent if all three sides of both of them are equal w.r.t to each otherAAS- When Two pairs of corresponding angles and one pair of corresponding sides (not between the angles) are equal then this is trueASA- When Two pairs of corresponding angles and one pair of corresponding sides between the angles are equal then this is trueTo know more about Congruency visit:
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{0,1,2,3} set builder notation
The set {0,1,2,3} as a set builder notation is {x ∈ N | 0 <= x <= 3}
How to determine the set using set builderFrom the question, we have the following parameters that can be used in our computation:
Set = {0, 1, 2, 3}
As a general rule:
The set-builder notation is a notation that describes a set by representing its elements or explaining the properties that its members must satisfy
Using a set builder notation, we have the following representation
{x | x ∈ {0, 1, 2, 3}}
It can also be represented as
{x ∈ N | 0 <= x <= 3}
where N is the set of all natural numbers.
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Simplify (√3+√2)-(√3-√2)
Answer:
[tex]2\sqrt{2}[/tex]
Step-by-step explanation:
Think of it in terms of a and b if its too difficult to understand what it is in its current state.
[tex]\sqrt{3} = a & \sqrt{2} = b\\(\sqrt{3} + \sqrt{2}) - (\sqrt{3} - \sqrt{2})\\(a + b) - (a - b)\\a + b - a + b\\2b \\2\sqrt{2}[/tex]
Need answer how many hrs week=
Please
A week has three days, monday \stuesday \swednesday \sthursday \sfriday \ssaturday \ssunday.
The length of a week is ____ days. How many days are there in a week?A week can be any period of time with 7 days; it is not required to be from Monday through Sunday. Example: The days of Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday, and Monday all add up to a week.
T stands for Tuesday in the alphabetical list of days of the week. W stands for Wednesday. R stands for Thursday. F is for Friday. Saturday is denoted by the letter S.
You're correct about yesterday, today, and tomorrow.
The word "short" is a five-letter phrase that becomes "shorter" when we add the two letters "e,r."
A week has three days, monday \stuesday \swednesday \sthursday \sfriday \ssaturday \ssunday.
The complete question is?
A week has how many ts?
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Find the least common denominator of 1/2x-6 and 2x/7x-21.
The least common denominator of 1/2x-6 and 2x/7x-21 is (2x -6)(7x - 21)
What is a fraction?A fraction can be described as the part of a whole variable, element or number.
There are some number of fractions in mathematics which includes;
Complex fractionsImproper fractionsProper fractionsSimple fractionsMixed fractionsExamples of simple fractions 1/2, 1/3
Examples of proper fractions; 3/4, 5/6
Examples of improper fractions; 4/3, 6/3
Examples of mixed fractions; 1 2/3, 5 4/6
From the information given,
1/2x-6 and 2x/7x-21
The least common denominator is (2x -6)(7x - 21)
Hence, the value is (2x -6)(7x - 21)
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