The given statement is not correct because anyone above 18 years can vote.
It is given that if you are over 18 years old, then you vote in all elections.
We have to determine the truth value , if you are 21 years old and do not vote.
What is the truth value ?
Truth value is the attribute which states that whether the statement is true or false.
As per the question ;
If you are over 18 years old , then you vote in all elections, and if you are 21 years old and do not vote.
The criteria to vote in the elections is to be over 18 years.
Here ;
21 years age is greater than 18 years criteria , that's why it is not possible that you can't vote if you are 21 years old.
The statement is not correct.
Thus , the given statement is not correct because anyone above 18 years can vote.
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For each rational function, find any points of discontinuity.
y=2 / x+1
In rational functions, the discontinuities are caused by the denominator terms. Since the denominator of a fraction is non-zero, any term that is multiplied by the denominator is also non-zero.
If x = -1 then x+1 is 0.
So, the discontinuities are shown as x = -1
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A bag contains 5 red marbles, 2 blue marbles, 4 white marbles, and 1 yellow marble. If two marbles are chosen in a row, without replacement, what is the probability of getting 2 white marbles?
A. 1/66
B. 1/11
C. 1/9
D. 5/33
E. 2/5
The correct option is B. 1/11.
The probability of choosing 2 white marbles is 1/11.
What is defined as the combination?A combination is an arithmetical technique for determining the number of different arrangements in a set of items in which the sequence of the selection is irrelevant.
You can choose the objects in any order in combinations. Permutations and combinations are often confused.
Now, as pet the stated question.
The total number of red marble in the bag are 5.
The total number of blue marble in the bag are 2.
The total number of white marble in the bag are 4.
The total number of yellow marble in the bag are 1.
The combination for selecting the 2 white marbles out of 4 are;
⁴C₂ = 4!/(4-2)!2!
⁴C₂ = 6
Ans, the combination for selecting the 2 marbles out of total 12 are;
¹²C₂ = 12!/(12-2)!2!
¹²C₂ = 66
Thus, the combination for selecting the 2 white marbles out of total 12 is;
= ⁴C₂ / ¹²C₂
= 6/66
= 1/11
Therefore, the the probability of outcome of the 2 white marbles out of total 12 marbles is 1/11.
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For what domain intervals is the function y= |x+1| increasing and/or decreasing?
The function y= |x+1| is increasing for the domain -1 < x < ∞ and decreasing for the domain -∞ < x < -1.
As given in the question, for what domain intervals is the function y= |x+1| increasing and/or decreasing is to be determined.
Here,
Given function,
f(x) = |x + 1|
Given functions absolute function,
Whose domain is all real numbers from -∞ to ∞.
And when we plot the graph of the function, we see that its decreasing from -∞ to -1 and increases from -1 to ∞.
Thus, The function y= |x+1| is increasing for the domain -1 < x < ∞ and decreasing for the domain -∞ < x < -1.
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a. In the function y=a x²+b x+c, c represents the y -intercept. Find the value of the y -intercept in the function y=a(x-h)²+k .
Answer:
ah²+k
Step-by-step explanation:
The y-intercept is when x=0.
[tex]y=a(0-h)^2+k=ah^2+k[/tex]
Which of the following expressions is equivalent to 32x − 3?
the quantity 9 to the power of x end quantity over 27
the quantity 6 to the power of x end quantity over 9
the quantity 2 to the power of x end quantity over 3
the quantity 1 to the power of x end quantity over 9
The expressions which is equivalent to the given expression; 3^(2x -3) is; the quantity 9 to the power of x end quantity over 27.
Option (A) is correct.
It is required to choose the expressions.
What are the laws of indices ?Index laws are the rules for simplifying expressions involving powers of the same base number. Index (indices) is the exponent which is raised to a number.
Given:
It follows from the task content that the equivalent expression as in the task content can be determined by the laws of Indices.
Now, according to laws of indices;
[tex]3^{2x} =( 3^{2}) ^{x}[/tex]
Thus, we now have;
[tex]= (3^{2} )^{x} )/3^{3} \\= (9^{x} )/3^{3} \\= (9^{x} )/27[/tex]
Therefore, the expressions which is equivalent to the given expression; 3^(2x -3) is; the quantity 9 to the power of x end quantity over 27.
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Find the first five terms of each sequence. aₙ =3 a n₋₁ , where a₁ = 2
The first five terms of the sequence (geometric) are: 2, 6, 18, 54, 162.
What is a geometric progression?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
Now, given formula: [tex]a_n=3a_{n-1}[/tex], a₁ = 2.
For n = 2, a₂ = 3 (a₁) = 3 (2) = 6
For n = 3, a₃ = 3 (a₂) = 3 (6) = 18
For n = 4, a₄ = 3 (a₃) = 3 (18) = 54
For n = 5, a₅ = 3 (a₄) = 3 (54) = 162.
Hence, The first five terms of the sequence (geometric) are: 2, 6, 18, 54, 162.
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Use the equality to find ratio of a:b
2a:9b
I dont understand the question, although it seems very easy in nature
To use the equality to find ratio of a:b, the ratio of a:b is 9 : 2
How to use the equality to find ratio of a:b?The ratio expression is given as
2a : 9b
In order to to use the equality to find ratio of a:b, we make use of the following representations
mx : ny => m : n = y : x
Using the above as a guide, we have
2a : 9b => a : b = 9 : 2
Rewrite as
a : b = 9 : 2
Hence, to use the equality to find ratio of a:b, the ratio of a:b is 9 : 2
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The batting Wang Xiu Ying uses to fill quilts has a thermal conductivity rate of 0.030.030, point, 03 watts (\text{W})(W)left parenthesis, start text, W, end text, right parenthesis per meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis per degree Celsius (^\circ\text{C})(
∘
C)left parenthesis, degrees, start text, C, end text, right parenthesis.
What is the batting's thermal conductivity value in \dfrac{\text{W}}{\text{cm}\cdot^\circ\text{C}}
cm⋅
∘
C
W
According to the given statement the thermal conductivity is :
0.0003(W/(m* c))
What do you understand by thermal conductivity?Thermal conductivity is defined as the rate at which heat is transported by conduction through a unit cross-section surface of a material that whenever a temperature gradient exists perpendicular to the area.
How do you determine thermal conductivity?The material's thermal conductivity is defined as the ratio of the rate of heat flow per unit area to the negative of the temperature gradient: dQdt=KAdTdx.
According to the given data:0.03 watts (W) per meter (m) per degree Celsius as a result, thermal conductivity is:
= 0.03(W/(m* c))
while we want the heat conductivity of the batting in w/cm•c
The only distinction is between metre and cm.
As a result, we must convert meter's to centimeters.
we are aware
1m =100cm
As a result, thermal conductivity may be written as.
= 0.03(W/(m* c))
we can replace 1m as 100cm.
= 0.03(W/(100m* c))
No simplifying the equation we get:
= 0.0003(W/(m* c))
According to the given statement the thermal conductivity is :
0.0003(W/(m* c)).
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A figure with 4 sets of parallel sides is graphed on a grid. The figure is then rotated 90 degrees clockwise. How many pairs of parallel sides does the figure have after the
rotation?
1. 0
2. 1
3. 2
4. 4
The figure have 4 pairs of parallel sides after the 90 degree rotation.
What is 90° rotation of an object ?
For every point in the plane (x, y), a 90° rotation can be described by the transformation P(x, y) → P'(-y, x). We can achieve this same transformation by performing two reflections.
It is given that figure has 4 sets parallel sides is graphed on a grid and is then rotated 90 degrees clockwise.
The figures with 4 sets parallel sides are : square, rectangle, rhombus
Let us consider square as our figured graphed in grid :
Now, Transformation involves moving a shape from one position to another, 90 degrees clockwise transformation that carries the square onto itself that is after rotation there will be 4 pairs of parallel sides.
Therefore, the figure have 4 pairs of parallel sides after the 90 degree rotation.
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Please help with the question below 5 points each but beware if you use my points for no reason I'll report you.
Lauren covered the box below with paper, with no overlaps. The paper costs $1.50 per square foot. How much will it cost to cover the box?
rectangular prism measurements
base: 7ft
height: 9ft
width: 2ft
By finding the surface area of the box, we can see that the cost to cover the box is $285
How much will cost to cover the box?We assume that we need to cover the 6 faces of the box, then we need to find the total surface area.
The surface area is given as:
S = 2( B*H + H*W + B*W)
Where:
B = base = 7ftH = height = 9ftW = width = 2ftThen the surface area is:
S = 2*(7ft*9ft + 7ft*2ft + 9ft*2ft) = 190ft^2
Now we know that the paper costs $1.50 per square foot, then the cost to cover the box is:
cost = 190*$1.50 = $285
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Find value of x.
3x + 6 - 6 = 248
Answer:
x=82.7
Step-by-step explanation:
3x+6-6=248
3x=248
x=82.7
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: 3x + 6 - 6 = 248[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x = 248[/tex]
[tex]\qquad \sf \dashrightarrow \: x = \dfrac{248}{3} [/tex]
The approximate value will be :
[tex]\qquad \sf \dashrightarrow \: x \approx82.67[/tex]
Find the measure of angle b.
Answer:
B= 67
Step-by-step explanation:
Being vertically opposite angle
A specific atom has 10 protons and 10 neutrons. what is the atom's mass number? 0 0 10 10 20 20 100
The total number of protons and neutrons in an atom exists directed as the mass number. The atomic mass number of an atom with 10p and 10 n exists 20.
Which atom has 10 protons and 10 neutrons?The total number of protons and neutrons in an atom's nucleus is known as the mass number. Protons plus neutrons equal mass number.
The neon atom has 10 protons and 10 neutrons with the atomic number 10. It has 10 protons and neutrons inside of its nucleus, along with ten electrons outside, due to its atomic weight of 20.179.
Ne is an inert, colorless noble gas that is also the second-lightest of the noble gases. Due to its distinctive reddish glow, it is frequently utilized in lamps and signs.
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Simplify the expression.
(1/3) (b + 12) - (1/4) (b+12)
The simplification of the given expression (1/3)(b + 12) - (1/4)(b + 12) is (b + 12)/12.
According to the given question.
We have an expression
(1/3)(b + 12) - (1/4)(b + 12)
As we know that, simplification of an expression means to write an equivalent expression which contains no similar terms.
Therefore, the simplification of the given expression (1/3)(b + 12) - (1/4)(b + 12) is given by
(1/3)(b + 12) - (1/4)(b + 12)
= (b + 12)[(1/3) -(1/4)] (taking (b + 12) common from each expression)
= (b + 12)[ (4-3)/12 ]
= (b + 12)[1/12]
= (b + 12)/12
Hence,the simplification of the given expression (1/3)(b + 12) - (1/4)(b + 12) is (b + 12)/12.
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please help im slow when it comes to math
23. Find the missing dimensions in the dimension
strings below.
The dimension of the string is A=13'1".
The dimension of the string is A=19'5",B=1'9" and C=25'5".
1. Given that two strings
In the 1st line given 3'3",5'6",8'9" and 1'4".
In the 2nd line given A and 5'9"
Feet is nothing but there is usually a focus on measuring in feet when working with lumber, pipe, or shingles.
Feet are either denoted with the letter "ft" or an apostrophe (').
Inches are nothing but one foot is twelve inches long. The sign for feet and inches is the same.
A single apostrophe (') is used for feet. A double apostrophe (") is used for inches.
Now, We will add the 1st line given dimension.
That is 3'3"+5'6"+8'9"+1'4"=18'10".
Now the 2nd line will be
A+5'9"=18'10"
A=18'10"-5'9"
A=13'1"
Therefore, the dimension of the string is A=13'1".
2.Given that three strings
In the 1st line given 75'8".
In the 2nd line given A and 56'3".
In the 3rd line given 17'8",B,30'10" and C.
Now, We will add the 2st line given dimensions.
That is A+56'3"=75'8"
A=75'8"-56'3"
A=19'5"
Now the 3nd line will be
B+17'8"=19'5"
B=19'5"-17'8"
B=1'9"
And
30'10"+C=56'3"
C=56'3"-30'10"
C=25'5"
Therefore, the dimension of the string is A=19'5",B=1'9" and C=25'5".
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WILL CHOOSE BRAINLIEST!!! The car dealership owner is trying to arrange 8 cars in a line for customers to see. In how many ways can the owner arrange the cars?
Answer:
8!
Step-by-step explanation:
8!=8*7*6*5*4*3*2*1
If b = the number blue bikes, which algebraic expression represents the phrase below?
The sum of the number of blue bikes and the 9 red bikes.
A.B divided by 9
B. B times 9
C. B minus 9
D. B plus 9
The expression that represents the sum of the number of blue bikes and the 9 red bikes is B + 9. Option D
What are algebraic expressions?Algebraic expressions are expressions that consists of terms, variables, coefficients, and constants.
They are also made up of arithmetic operations such as division, addition, multiplication, subtraction, etc
From the information given, we have that;
B is the number of blue bikes
And there are 9 red bikes
The expression for the sum of blue and red bikes is written as;
B + 9
Thus, the expression that represents the sum of the number of blue bikes and the 9 red bikes is B + 9. Option D
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Simplify by combining like terms.
-5 a-4 a+b
By combining the like terms, the simplified form of the expression -5a-4a+b is -9a+b
Given,
The algebraic expression = -5a-4a+b
Combine the like terms
-5a-4a+b=(-5-4)a+b
=-9a+b
simplified form is -9a+b
Hence, By combining the like terms, the simplified form of the expression -5a-4a+b is -9a+b
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Melanie got a new employer-paid job through the Jones recruitment Agency. The job pays $52,400 per year, and the agency fee is equal to 25% of 1 month’s pay. How much must Melanie’s employer pay the agency?
Answer:
Melanie's employer must pay the agency a sum of $1,091.67
Step-by-step explanation:
job = $52,400
agency fee = 25% of 1 month's pay
52,400 / 12 = $4,366.67
.25 x $4,366.67 = $1,091.67
Francisco wants to build a cube-shaped storage container that holds 8 cubic feet of water for some goldfish he recently purchased. Using the formula,V=s3, whereVrepresents the volume of the container andsrepresents its side length, find the length of one side of the container.
Length of Side of cube - shaped storage container is 2 units .
Given : Volume of container = 8 cubic units .
To find : the length of one side of the container .
Formula for volume of cube : Volume of cube = [tex]x^{3}[/tex] .
According to ques .
[tex]x^{3}[/tex] = 8
Solving cubic equation ,
finding cube root of 8 and hence finding value of x .
[tex]\sqrt[3]{8}[/tex] = x
x = 2
2 * 2 * 2 = 8 .
Hence , length of each side of cube - shaped storage container = 2 units .
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Can somebody please explain this to me?
I can only put numerical values.
Using the graph, the value of r(-2) is 8
Graph of functionsFrom the question, we are to determine the value of r(-2)
The given graph is the graph of the function r(x), and we have that
y = r(x)
To determine the value of r(-2), we will trace from the point where x = -2 on the graph to the parabola (the curve of a quadratic function), and then read the corresponding value on the y-axis by tracing this point to the y-axis.
On the graph, if we trace from the point x = -2, to the curve, we will find out that the value of y is 8.
Thus,
From y = r(x), we can write that
8 = r(-2)
∴ r(-2) = 8
hence, the value of r(-2) is 8
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a
||
b =
||||
C=
x
-2
-1
0
1
2
DONE
4
f(x) = -x²+x+6
a
4
b
6
C
The vakues based on the function f(x) = -x² + x + 6 will be:
12
0
12
How to calculate the value?When x = -2, the value will be:
f(x) = -x² + x + 6
= -2² + 2 + 6
= 4 + 2 + 6
= 12
When x = 0
f(x) = -x² + x + 6
= 0² + 0 + 6
= 0
When x = 2
f(x) = -x² + x + 6
= 2² + 2 + 6
= 12
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Solve the inequality.
7(x − 3) > −7
Answer: x>2
Step-by-step explanation:
Answer:
Step-by-step explanation:
urgent please help thank you!
The difference between the numbers will be:
1. -11.
2. 43
3. -/15
How to illustrate the information?The difference between the numbers will be:
1. (-5) - 6
= -5 - 6
= -11
2. 35 -(-8)
= 35 + 8
= 43
3. 2/5 - 3/5.
= -1/5
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Determine the distance between each pair of points. Then determine the coordinates of the midpoint M of the segment joining the pair of points.
W(-12,8,10) and Z(-4,1,-2)
The midpoint is at ( -8 , 9/2 , 4)
In the given statement is
To find the midpoint of the line segment joining the pair of points
W(-12,8,10) and Z(-4,1,-2)
Midpoint:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
m = (A +B)/2
If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =([tex]\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} , \frac{z_{1} +z_{2} }{2}[/tex] )
where:
(x1 , y1 ,z1) are the coordinates of the first point:
(x2 , y2 , z2) are the coordinates of the second point:
Now, We are given the three points W(-12,8,10) and Z(-4,1,-2)
Solving for the midpoint , we have,
m = ([tex]\frac{-12+(-4)}{2} , \frac{8+1}{2} ,\frac{10+(-2)}{2}[/tex])
m =( [tex](\frac{-16}{2} ) ,\frac{9}{2} , \frac{8}{2}[/tex])
m = ( -8 , 9/2 , 4)
Therefore, the midpoint is at ( -8 , 9/2 , 4)
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Convert the decimal number 431 to binary in two ways: (a) convert directly to binary; (b) convert first to hexadecimal and then from hexadecimal to binary. which method is faster?
The conversion of decimal number directly to binary number will be faster.
What is a conversion of the number system?The number conversion deals with the operation to change the base of the number.
Binary number - It contains only 2 numbers that are 1 and 0.
Decimal number - It contains 10 numbers that are from 0 to 9.
Hexadecimal number - It contains 16 numbers that are from 0 to F.
Convert the decimal number 431 to binary will be
431 / 2 = 215 with 1 remainder
215 / 2 = 107 with 1 remainder
107 / 2 = 53 with 1 remainder
53 / 2 = 26 with 1 remainder
26 / 2 = 13 with 0 remainder
13 / 2 = 6 with 1 remainder
6 / 2 = 3 with 0 remainder
3 / 2 = 1 with 1 remainder
1 / 2 = 0 with 1 remainder
The decimal number 431 to binary number will be 110101111.
Convert first to hexadecimal and then from hexadecimal to binary. Then we have
(431)₁₀ = (1AF)₁₆ = (110101111)₂
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The value of a mobile sets of same models in two shapes A and B are given below.
Shop A- Marked price=Rs 25,000, Discount=10%, VAT=13%
Shop B- Marked price=Rs 24,000, Discount=8%, VAT=13%
Which shop is more expensive and by what percent?Find it
Shop A is more expensive by 1.8 % percentage .
The price displayed on the product label is called the display price or list price. This is the price at which the product will be sold. If discount is offered, M.P. > SP If no discount is offered, M.P. < SP. Discounting is the process of determining the present value of future payments or cash flows to be received. Value Added Tax (VAT) is a consumption tax on goods and services that add value at every stage of the supply chain, from initial production to the point of sale. The amount of VAT paid by the user is based on the cost of the product minus the material costs of the product already taxed in previous stages which is given by [tex]S.P=M.P\times\frac{100-D}{100}[/tex] ....(1)It is given that shop A has Marked price =Rs 25,000, Discount=10%, Putting above values in equation (1) we get
[tex]S.P=25000\times\frac{100-10}{100} \\\\S.P=25000\times\frac{90}{100} \\\\\S.P=22500[/tex]
Rate of VAT 13% is given by
[tex]=\frac{13}{100} \times 22500\\\\=2925[/tex]
The amount to be payed for buying mobile set is [tex]=22500+2925=25425[/tex]
It is given that shop B has Marked price =Rs 24,000, Discount=8%, Putting above values in equation (1) we get
[tex]S.P=24000\times\frac{100-8}{100} \\\\S.P=24000 \times\frac{92}{100} \\\\S.P=22080[/tex]
Rate of VAT 13% [tex]=13\% \ 22080[/tex]
[tex]=\frac{13}{100} \times 22080\\\\=2870.4[/tex]
The amount to be payed for buying mobile set is[tex]=22080+2870.4=24950.4[/tex]
As the amount of shop A is more than shop B so , shop A is more expensive
Percentage [tex]= \frac{25425-24950.4}{25425}\times100[/tex]
[tex]= \frac{474.6}{25425}\times100\\\\=0.01866\times100\\\\=1.8\%[/tex]
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Simplify 2(5n-4) pls helppp
Answer:
The answer is 10n-8
Step-by-step explanation:
Hope this helps!!
solve the inequality |2x|<6
-3 < x < 3
Step-by-step explanation:Isolate the variable by dividing each side by factors that don't contain the variable.
