What does k∈R mean in algebra?
Answer: The symbol ∈ indicates set membership and means “is an element of” so that the statement k∈R means that k is an element of the set R. In other words, k is one of the objects in the collection of (possibly many) objects in the set R.
Molly's dad is five times as old as Molly is. Her dad is also as old as the sum of the ages of Molly and her older twin brothers, Dwight and Jim. The twins are both 12 years old.
How old is Molly's dad?
Answer:
30 years old
Step-by-step explanation:
5x = x + 2(12)
5x = x + 24
4x = 24
x = 6
5(x)
5(6) = 30
You are planning a vacation and have found a great rate on a hotel. The hotel is $99 per night, plus tax and a
resort fee. The expression 99(1.05)+ 25 represents the total cost of the hotel for nights. What is the tax
rate and the resort fee? Explain how you know
Answer:
resort fee is 25
tax rate is 1.05
Step-by-step explanation:
hat number of children occurred the least frequently? calculate this percent. 2, 44.8% 2, 55.2% 0, 20% 5 or more, 4.72% 5 or more, 11.91%
Only (B) 4.72% of the couples polled have 5 or more children.
What do we mean by random sample?A simple random sample (or SRS) in statistics is a subset of individuals (a sample) chosen at random from a larger set (a population) with the same probability.It is the process of selecting a sample at random. In SRS, each subset of k people has the same chance of being chosen for the sample as any other subset of k people.To find what number of children occurred the least frequently:
We know that a total of 1250 couples were polled.Determine the lowest frequency and divide it by the total number of couples surveyed.The lowest frequency corresponds to 5 or more children.The percentage is as follows:
50/1250 × 100 = 4.72Therefore, only (B) 4.72% of the couples polled have 5 or more children.
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The complete question is given below;
A random sample of 1,250 couples was asked the question, "How many children presently reside in your household?"
Number of Children—Frequency
0——250
1——-112
2——560
3 ——201
5 or more ——59
What number of children occurred the least frequently? Calculate this percent
A) 2, 55.2%
B)5 or more, 4.72%
C)5 or more, 11.91%
D)4.21.67%
can someone help me solve this problem?
Answer:
No
Step-by-step explanation:
If Q is the midpoint of PR, then PQ=QR.
[tex]5(x+2)=8x-3 \\ \\ 5x+10=8x-3 \\ \\ 3x=13 \\ \\ x=\frac{13}{3} \\ \\ \implies PQ=5\left(\frac{8}{3} +2 \right) \neq 36[/tex]
This means PQ + QR = PR isn't 72, and thus Q is not the midpoint of PR.
Linda built a games board in industrial arts class. The top was a rectangle of 60cm by 48cm. What was the largest size of identical felt squares she could use to cover the top exactly?
The largest size of identical felt squares that can be used to cover the top of rectangle is 5 squares of side 24cm.
The rectangle is a 2-dimensional figure with length and breadth which may or may not be same. A square is also a 2-dimensional figure with equal length of its sides.
When the dimensions of rectangle are given, it's are is given as the product of the sides of the rectangle which is given as:
Area of rectangle = Length × Breadth = 60 × 48 = 2880 cm square
The length of the square that entirely covers up the top side i.e., rectangular top can be determined by hit and trial mechanism starting from the lowest whole number in order to determine the length of largest squares of equal dimensions. Then comparing the area of the rectangular top and product of number of squares needed and area of each square, we can find the largest size of the square.
Area of square = length × length = l²
Since, Area of rectangular top = No. of squares × Area of 1 square
Therefore, 2880 = N (l²)
Putting N =1, 2, 3, 4, 5 and so on, we find that when N = 5, the value of square root of l is a perfect whole number.
Hence, 2880 = 5 × (l²)
l = √576 = 24
Thus, 5 squares of side 24cm will be used to cover the rectangular top entirely.
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what are some properties of an isosceles triangle
Answer:
3 equal side 3 congruent angles of 60°
Step-by-step explanation:
what are some properties of an isosceles triangle
3 equal side 3 congruent angles
Current trends in math instruction are likely to lead to graduates who are able to?
Current trends in math instruction are likely to lead to graduates who are able to "find precise answers quickly by consulting texts and tables."
What is math instruction?A analysis of studies on mathematics instruction encompassing students with educational disabilities discovered a variety of behavioral, cognitive, & metacognitive approaches that have been shown to improve both mathematical computation & mathematical solving problems in students with LD.
Some key features regarding the math instruction are-
The majority of metacognitive instruction has indeed been combined with really explicit instructional strategies in which students are taught and then given ample practice opportunities.Metacognitive strategy training research has revealed the effectiveness of these training across a wide range of tasks and training types. Recent research on explicit solving problems, including the growth to higher-level math including algebra, and research on affectively oriented self-instruction, has piqued the interest of many.Some points regarding the importance of the math instruction are-
encourage students to learn the math facts, concepts, computational skills, as well as strategies needed to solve a variety of problemspromote the creation of efficient and adaptable problem-solving approaches; and instill adaptive arithmetical behaviors and beliefs in students.To know more about the computational skills, here
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What is the product of (−3)(18) • (−5)?
Answer:
The product of (-3)(18) * (-5) is 270.
Step-by-step explanation:
(-3)(18) * (-5)
Multiply -3 and 18.
(-54) * (-5)
Multiply -54 and -5. When multiplying 2 negative numbers, the result will become positive.
270.
Answer:
270
Step-by-step explanation:
BODMAS
Brackets, Order, Division, Multiplication, Addition, Subtraction.
(-3)(18) is basically (-3) • (18)
No more expressions within brackets so we go by order from left to right of the equation.
(-3) • (18) = (-54)
(-54) • (-5) = 270
Hope this helps! ^^
the following five questions are focused around a startup company. management is trying to gain insight on current employees and have sent out a short anonymous survey to them. read each prompt carefully and determine the variable type for each question. employees were asked to report their typical daily commute time, in minutes. what type of variable would their response be considered?
The correct option is C. Quantitative Continuous
The type of variable would their response be considered is Quantitative Continuous Variable.
What is Quantitative Continuous Variable?Quantitative variables describe some aspect of the individual and are frequently measured (for example, body mass is evaluated with a scale) or counted (for example, the number of needle punctures necessary to receive the biopsy specimen has been counted).
A quantitative variable could be discrete or continuous. A continuous variable can theoretically take on any value under an interval.
Some key features regarding the Quantitative Continuous Variable are-
Continuous variables can accept any value within a given range. Continuous variables are also metric or quantitative variables because they can contain an infinite number and value between two points. A variable is continuous if members of the group can theoretically fall any place on a spectrum to small amounts of an attribute on one end and huge quantities of a feature on the other. Continuous variables are frequently measured in units that are infinitely small.To know more about the Quantitative Continuous Variable, here
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The complete question is-
The following five questions are focused around a startup company. Management is trying to gain insight on current employees and have sent out a short anonymous survey to them. Read each prompt carefully and determine the variable type for each question.
Employees were asked to report their typical daily commute time, in minutes. What type of variable would their response be considered?
A. Categorical Nominal
B. Categorical Ordinal
C. Quantitative Continuous
D. Quantitative Discrete
11. Pi (π) is the quotient of the circumference (C) and the diameter of a circle.
Type equation here.
The circle is a plane figure whose circumference is given by the formulae [tex]2\pi r[/tex]. Where r is the radius of the circle.
The area of the circle is given by the formulae [tex]\pi r^{2}[/tex] where again r is the radius of the circle and pie is the common factor in both the formulae
We also need to know that the radius of the circle is the half of the diameter of the circle and the diameter is twice the radius
From which we can derive the relation; d=2r where d is the diameter of the circle.
So, the formulae now in terms of diameter becomes [tex]\pi d[/tex] for circumference and [tex]\frac{\pi d^{2} }{4}[/tex] for area of the circle.
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A cubical die is 3 m long. Find its volume. How much space does it occupy?
Answer:
27 m³
Step-by-step explanation:
Formula we use,
→ V = a³
Let's solve the problem,
→ V = a³
→ V = 3³
→ [ V = 27 m³ ]
Hence, it occupies 27 m³.
slope -1/2, passes through (0, 5)
Our standard linear slope equation is:
mx + b = y
We're told our slope is 1/2, so that's our m value.
When x = 0 our value is 5. If you need this visualized, then:
1/2 * 0 +b = 5
0 + b = 5
b = 5
So our equation looks like:
x/2 + 5 = y
44.00 divided by 2.20
Showed with work PLSS HELP ME !!!!
Answer:
20
Step-by-step explanation:
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ 22\overline{|\smallspace440}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace4\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
All that applies to square root of 175
Answer:
13.2287566
Step-by-step explanation:
What Is the Square Root of 175? The square root of 175 is defined as the value obtained on the multiplication of an integer by itself which will give the final product as 175. As there is no such integer which on multiplication with itself will give 175 exactly, the square root of 175 is not a whole number.
please answer the question in the photo
Answer:no
Step-by-step explanation:
sides ab and de are equivalent and sides fd and ca are equivalent but when it comes to sides bc and ef they are not with the scale factor as 2
Which graph represents the equation 12 = 3x + 4y? Explain how you know.
Answer:
Graph A
Step-by-step explanation:
First, isolate the y variable and simplify
12 = 3x + 4y
-3x+12=4y
-(3/4)x+3=y
From here, you can tell that your graph has a negative slope and a y-intercept at 3.
Graph A is the only graph with a negative slope.
Write a multiplication sentence to match the number of groups.skip count to find the totals 3twos
Answer:
i have 3 and i do 3 times more.
Step-by-step explanation:
How do I do the histogram
The histogram that represents this data-set is given at the end of the answer.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
When measures are spaced out, such as is the case in this problem, the bins of the histogram represent an interval of values. Hence, in this problem, we consider that:
6 measures are between 160 and 220.3 measures are between 220 and 280.4 measures are between 280 and 340.3 measures are between 340 and 400.2 measures are between 400 and 460.The histogram considering these intervals is given at the end of the answer.
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Evaluate the function.
f(x) = 2x² – 3x – 1
Find f(8)
Given ~
[tex] \tt \: f(x) = 2x² – 3x – 1[/tex]
[tex] \: [/tex]
put the value of x=8 in given function ~
[tex] \tt \: f(8) = 2 ({8})^{2} - 3(8) - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 2 (64) - 3(8) - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 128 - 24 - 1[/tex]
[tex] \: [/tex]
[tex] \tt \: f(8) = 104 - 1[/tex]
[tex] \: [/tex]
[tex] \underline { \boxed{ \tt \red{f(8) = 103}}}{ \green ✓}[/tex]
[tex] \: [/tex]
hope helps ~
What is the sequence of transformations that maps △ABC to △A′B′C′? Select from the drop-down menus to correctly identify each step. Step 1: Choose... Step 2: Choose... Two triangles on the coordinate plane. Triangle A B C has vertex A at negative 1 comma 2, vertex B at negative 2 comma 5, and vertex C at negative 5 comma 1. Triangle A prime B prime C prime has vertex A prime at 3 comma negative 2, vertex B prime at 4 comma negative 5, and vertex C prime at 7 comma negative 1.
Answer:
Step-by-step explanation:
Any 1 of the following transformations will work. There are others that are also possible.
translation up 4 units, followed by rotation CCW by 90°.
rotation CCW by 90°, followed by translation left 4 units.
rotation CCW 90° about the center (-2, -2).
Step-by-step explanation:
The order of vertices ABC is clockwise, as is the order of vertices A'B'C'. Thus, if reflection is involved, there are two (or some other even number of) reflections.
The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is a sequence of transformations involved, so a single rotation is probably not of interest.
If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.
If we rotate the final figure 90° CW, we find it ends up 4 units north of the starting position. So, another possible transformation is translation up 4 units + rotation 90° CCW.
Of course, rotation 90° CCW in either case is the same as rotation 270° CW.
_____
Answer:
Step-by-step explanation:
The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is a sequence of transformations involved, so a single rotation is probably not of interest.
If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.
7x ≤3x-24 or 10x-1≥9
Answer:
Im not pretty sure but i think thats the answer ^^
Becky decorated 144 cakes in 6 days. How many cakes did she decorate in 1 day.
Answer:
24
Step-by-step explanation:
Answer:24
Step-by-step explanation:144/6=24
In the trapezoid below, EF is parallel to BC. If ED = 35, BC = 63, DC = 28,
and EF = 45, find the length of BD. Figures are not necessarily drawn to scale.
EF and BC in the trapezoid below are parallel. if ED=35, BC=63, and DC=28
Find the length of BD if EF = 45. Not all figures are rendered to scale.
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
The base angles and the diagonals of an isosceles trapezoid are equal. The intersection point of the diagonals is collinear to the midpoints of the two opposite sides. Opposite sides of an isosceles trapezoid are of the same length or congruent to each other.
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When it is easier to use the point-slope form to write the equation of a line and when it is easier to use the slope-intercept form? brainley
The slope-intercept form will be easier to write the equation of the line.
What is the equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The equation of the line for the slope and intercept form is y = mx + c. Where m is the slope of the line and c is the y-intercept of the line.
Therefore, the slope-intercept form will be easier to write the equation of the line.
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1- When 5 times the number x is added to 10, the result is 35. What is the result when 3 times x is added to
6?
A. 10
B. 15
C. 21
D. 25
Answer:
C. 21
Step-by-step explanation:
5 times of x is 5x.
5x + 10 = 35
Remove 10 from both sides to get one side x, and the other side a number.
5x + 10 - 10 = 35 - 10
5x = 25
Both sides of the equation can be divided by 5.
x = 5
3 times of x is 3x.
3x + 6
Substitute in x = 5 from the earlier working.
3(5) + 6
= 15 + 6
= 21
Therefore, the result of 3 times x added to 6 is 21.
Hope this helped! ^^
Find the product. Write your answer as a fraction in simplest form.
-2(-1 1/4)
Answer:
2.5
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
Negative times negative equals positive
2 * 1.25 = 2 * 1 + .25 * 2 = 2.5
is -4 rational or irrtaional
-4 is a rational number...
Your answer should be a polynomial in standard form.
(x - 2)(x - 6)
Write a multi-way selection statement that adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.
The solution is shown below:
What is multi-way selection?In addition to two-way selection, most programming languages provide another selection concept known as multiway selection. Multiway selection chooses among several alternatives. C has two different ways to implement multiway selection: the switch statement and else-if construct.
Given condition:
adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.
if age < 18:
minors += 1
else if age < 65:
adults += 1
else:
seniors += 1
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