The coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).
To get the coordinates of a point reflected on the x - axis, some important rules be considered here:
1. The x - coordinate of the reflected point is the same as the x - coordinate of the original point.
2. The y - coordinate of reflected point has opposite sign of y-coordinate of original point.
Example:
(1,9) when reflected on the x - axis it will be (1,-9).
Therefore the coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).
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There are about 30.530.530, point, 5 centimeters in a foot. There are 333 feet in a yard.
About how many centimeters are in a yard?
Answer:91.44 rounded is 91
Step-by-step explanation:
6. Find the number of each category of voters based on the
information given below.
Total number of votes = 300000 votes
Percentage of
Votes, Others,
4%, 4%
Percentage
of Votes,
Females,
47%,
Percentage
of Votes
Males, 49%
Number of Male voters =
Number of female voters =
Number of voters to "Others" category=
The number of Male voters =14700, The number of female voters =14100 and the number of voters to "Others" category=1200
How do you calculate a percentage?
A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, the decimal 0.35, or the fraction, represents 35%.
Given : Total votes = 300000
males = 49%
females = 47%
Others = 4%
Number of votes for males = [tex]\frac{49}{100} *300000[/tex] = 14700
Number of votes for females = [tex]\frac{47}{100} *300000[/tex] = 14100
Number of votes for others = [tex]\frac{4}{100} *300000\\[/tex] = 1200
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Carlos’s is a receptionist at a law firm, he spend 2 minutes routing each phone call as it come in. Write an equation that shows how the total number of minutes Carlos spend routing call y depend on the number of call x
Answer: 2y or 2 x y
Step-by-step explanation:
2 times the minutes
therefor if carlos answers 4 calls, you would say 2 x 4 and you ranswer would be 8 minutes.
need halp with the ques answer pls
The value of A rounded to the nearest hundredth is 0 and the value of A rounded to the nearest tenth is 10
From the given number line
The value of A = 7.51
The number line is defined as the straight line that consist of integers in equal intervals. We can also says that the number line is the pictorial representation of numbers on a horizontal line.
The rounding of a number is defined as a number is make it simple by keeping its value intact but closer to the next number. The closer to tenth, hundredth, thousand etc.
The value of A = 7.51
Rounding the rounder to nearest tenth = 10
Rounding the number to nearest hundredth = 0
Hence, the value of A rounded to the nearest hundredth is 0 and the value of A rounded to the nearest tenth is 10.
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What is the graph of f(x) = 3x – 4, where x ≥ 1?
The required graph of the given expression f(x) = 3x – 4, is shown.
Given that,
To draw the graph of the expression f(x) = 3x – 4, for the domain x ≥ 1.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
y = f(x)
Given expression,
f(x) = 3x – 4,
So,
y = 3x - 4
For the domain y x ≥ 1,
Since the function given is a linear function and the graph will be a straight line of the slope m = 2,
Thus, the required graph of the given expression f(x) = 3x – 4, is shown.
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2. One plane
points_____
passes through three noncollinear
A. Point, Line, and Plane Postulates do not
address this topic directly.
B. always
C. never
D. sometimes
When $720 is divided in the ratio 3:5, the larger share is
Answer:
The larger share is $450.
Step-by-step explanation:
[tex]\frac{3}{5} =\frac{3x}{5x} \\\\3x-the smaller share\\5x-the larger share\\3x+5x=8x\\8x-money to split\\8x=720 /:8\\x=90\\5x=5*90=450[/tex]
please solve the problem
The value of x in the remote angles of the triangle is 22.
How to find external angle of a triangle?The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
In other words the sum of the remote interior angle is equals to the external angle.
Therefore,
110 = 3x + 2x
110 = 5x
divide both sides by 5
110 / 5 = 5x / 5
x = 22
Therefore, using exterior angle theorem, the value of x is 22.
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Here is a correlation, does it also represent causation? Explain you answer.
The number of cold, snow days and the amount of hot chocolate sold at a ski resort.
Between the two variables, the number of cold, snow days, and the amount of hot chocolate sold at a ski resort, there is causation.
Is causation in this relation?For two variables x and y, we have causation when a change in one of the variables causes an immediate change in the other variable as a response.
Here we have the two variables:
x = number of cold, snow days.
y = amount of hot chocolate sold at a ski resort.
Obviously, there is a correlation there, we can even assume that if the days are cold enough, a larger percentage of the people in the ski resort will decide to stay there, and then there is a larger posibility that they will consume hot chocolate there, so yes, there is causation between these two variables.
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1
Writing the function f(x) = 4x + 2, what does f(x) represent?
The phrase [tex]f (x)[/tex] denotes a formula with [tex]x[/tex] serving as its input variable. Not multiply f and x, though!
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable .
The x in [tex]f(x)[/tex] is referred to the argument of the function or simply the argument in function notation. Therefore, the response is just 2 if they ask for a argument and give you the equation [tex]f(2)[/tex].
Hence, the phrase [tex]f (x)[/tex] represents a formula with [tex]x[/tex] serving as its input variable.
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I need help like asap !!!
only numbers and decimal points
Answer:
use pythagoras theorm you will get 20.35 ft
Step-by-step explanation:
Answer:
20.3490
Step-by-step explanation:
a^2+b^2=c^2
15.5^2+13.2^2=c^2
240.25+174.24=c^2
414.49=c^2
c=20.3590
Find the equation of the line the (2, 6) and is perpendicular to the equation y = 2x + 8
Answer:
y = -0.5x + 7
Step-by-step explanation:
Equation of a Line is y = mx + c
where m is the slope and c is the y-intercept
Given two lines are Perpendicular
Then [tex]m_{1} m_{2} =-1[/tex]
So we given Line whose Equation is y = 2x +8
Then [tex]m_{1} =2[/tex] (Coefficient of x)
Since the Line we want is Perpendicular to that line
Then [tex]m_{1} m_{2} =-1[/tex] , [tex]2m_{2} =-1 , m_{2} =\frac{-1}{2}[/tex]
So the Equation of the required Line is y = -0.5x +c
Since the Line passes through (2 , 6) , Then y = 6 when x = 2
By substitution , 6 = -0.5*2 + c , 6 = -1 + c
Then c = 6+1 =7
Then the Equation will be y = -0.5x + 7
Answer: y= -1/2x+7
Step-by-step explanation: use the point slope form and use the -1/2x like the slope because the perpendicular lines are negative reciprocals.
If RS = 7, ST = 3x, and RT = x + 9, what is RT?
The required value of RT is 10 units when RS = 7, ST = 3x, and RT = x + 9.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment RT, where the length of line segment RT refers to the distance between its endpoints, R and T.
RS = 7, ST = 3x, and RT = x + 9
R______________S______________T
⇒ RT = RS + ST ....(i)
Substitute the values of RS = 7, ST = 3x, and RT = x + 9,
⇒ x + 9 = 7 + 3x
⇒ 3x - x = 9 - 7
⇒ 2x = 2
⇒ x = 1
Substitute the values of x = 1 in RT = x + 9
So RT = 1 + 9 = 10
Hence, the value of RT is 10 units.
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Can someone help me please?
Question 1
[tex]\frac{a-0}{a-0}=1[/tex]
Question 2
[tex](1)(-1)=-1[/tex]
A prize is divided in the ratio 1:8.If the larger share is £72 what is the smaller share?
Answer:
£9
Step-by-step explanation:
1:8=9
?:72
72÷9=8
9×1=9
A band expects to put 16 songs on their next CD. The band writes and records 62.5% more songs than they expect to put on the CD. During the editing process, 50% of the songs are removed. How many songs will there be on the final CD?
Answer:
songs in the final CD 13
Step-by-step explanation:
the 100% = 16
-------------------
16/x=100/62.5
(16/x)*x=(100/62.5)*x
16=1.6*x
16/1.6=x
10=x
x=10
This is the 62.5% of 16
---------------------
now the new 100% is 10 + 16 = 26
but during the editing process 50% are removed
and the 50% of 26 (half of it) is = 13
227 x 173 simplify using identities. Ple someone answer quickly.....
The scatterplot illustrates the relationship between two quantitative variables: the amount of an active ingredient in a medicine and the level of pain relief (on a scale of 1 to 10).
The relationship in the scatterplot is
weak
positive and linear.
positive and nonlinear.
negative and moderately strong.
The relationship in the scatterplot is positive and nonlinear.
We utilize correlation to assess the strength of a linear relationship between two numerical variables. The strength of a linear relationship is gauged by correlation.
What is scatterplot?A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. A statistical method known as correlation is used to assess the STRENGTH and DIRECTION of the link between two variables. Two identical-person scores are necessary for correlation. These scores are typically denoted by the letters X and Y.An association between two variables is called a correlation. A correlation coefficient, which is a numerical representation of the strength and direction of the relationship, can be used to quantify the amount of correlation, or relationship.To learn more about scatterplot refer to:
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of the 20 students in Kendra's class 5 have black hair eight have blonde hair 5 have brown hair 2 have red hair.kendra used
The probability of selecting a blonde is 0.40
What is probability?Probability is the likelihood that something will occur.
In this case, from the twenty students, it should be noted that the number of blondes are 8.
Black hair = 5
Blonde hair = 8
Brown hair = 5
Red hair = 2
Therefore, the probability of choosing a blonde will be:
= Number of blonde / Total students
= 8/20
= 0.40
The probability is 0.40
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Complete question
Of the 20 students in Kendra's class 5 have black hair eight have blonde hair 5 have brown hair 2 have red hair.kendra used the spinner to blonde hair. What's the experimental probability that the student will have blonde hair?
the annual salaries of workers in a large manufacturing factory are normally distributed with a mean of rs. 48,000 and a standard deviation of rs. 1500. find the probability of workers who earn between rs. 35,000 and rs. 52,000. a. 0.42
The probability of workers who earn between rs. 35,000 and rs. 52,000 is 99.62 %.
What is defined as the normal distribution?A data set with a normal distribution has the majority of its values clustered in the middle of the distribution and the remaining values tapering off symmetrical toward either end.
For the given question;
z = (x - μ)/σ
In which,
x = sample mean
μ = mean (48,000)
σ = standard deviation (1500)
x = 35,000 and x = 52,000
For x = 35,000.
z = (35,000 - 48,000)/1500
z = -8.66
Check the p value from table
p(z = -8.66) = 0
For x = 52,000
z = (52,000 - 48,000)/1500
z = 2.66
p(z = 2.66) = 0.99617
P(35,000 < x < 52,000) = 0.99617 - 0
P(35,000 < x < 52,000) = 0.99617
Thus, the probability of workers who earn between rs. 35,000 and rs. 52,000 is 99.62 %.
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write this equation of a line in point slope form: slope 1/2; (3, -1)
Answer:
y + 1 = 1/2 (x - 3)
Step-by-step explanation:
Point-slope form of an equation is a shortcut, fill-in-the-blank way to write the equation of a line. All you need is slope (usually symbolized with an m) and a point (any point on the line)
Here's Point-slope:
y - Y = m (x - X)
The slope they gave you is 1/2, put that in for the m.
And also fill in 3 for the X and -1 for the Y. Because a point is (X,Y)
Just leave the first y as a y, right there. And leave the first x in the parentheses as an x. They are variables in the equation. They stay letters.
y - -1 = 1/2 (x - 3)
Simplify.
y + 1 = 1/2 (x - 3)
Minus a negative is the same as plus a positive, that's what happened there on the left. Also, when you write it, make sure the 1/2 is beside the parentheses on the right. The parentheses should not be on the bottom with the 2, but just beside the fraction.
Rafael has saved up $650 to buy a new laptop. The laptop he wants is in stores for $749.99 but is on sale for 25% off. After the discount is removed, a tax rate of 5.75% is added on. After Rafael buys the laptop, how much money will he have left over? Remember to round to the nearest hundredth as you go because this is money.
The amount of money left over after buying the laptop is $55.17.
How to calculate the value?From the information, the laptop he wants is in stores for $749.99 but is on sale for 25% off and after the discount is removed, a tax rate of 5.75% is added on.
This will be:
= $749.99 - (25% × $749.99)
= $749.99 - $187.50
= $562.49
The addition of the tax will be:
= $562.49 + (5.75% × $562.49)
= $562.49 + $32.34
= $594.83
The money left over will be:
= $650 - $594.83
= $55.17
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share #5200 in the ratio 13:27
Classify the following inequalities into the given categories. Drag each inequality into the appropriate category. Strict inequality Nonstick inequality
3x-2<1
3x-> 1
3x-2>1
3x-2<1
All the inequality given are all non strict inequalities
Inequality classification
3x - 2 < 1 non strict inequality
3x - > 1 non strict inequality
3x - 2 > 1 non strict inequality
3x - 2 < 1 non strict inequality
What is inequality ?Inequality refers to a way of representing relationships between variables at the left hand side of equation to the variables to the right hand side of an equation.
The signs used in inequality are of 4 types namely
less thangreater thanless than or equal togreater than or equal toThe strict inequality are those inequality that the equation fails when equality sign is used to represent the relationship of the left and right hand side of an equation.. The inequality sign used here is only less than or greater than
The non strict inequality maintains the balance between both sides of the equation whether the equality is used or not
None of the given expression has the "less than or equal to" OR "greater than or equal to" signs hence they are all strict inequality
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A straight line passes through the point T (4,1) and has a gradient of 3/5. Determine the equation of this line. A straight line is drawn through the points A (1,1) and B (5,-2). Determine the equation of the line which passes through D (3,2) and is perpendicular to AB? Write answer in (y=mx+c) form
[tex]T(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{3}{5}}(x-\stackrel{x_1}{4}) \\\\\\ y-1=\cfrac{3}{5}x-\cfrac{12}{5}\implies y=\cfrac{3}{5}x-\cfrac{12}{5}+1\implies {\Large \begin{array}{llll} y=\cfrac{3}{5}x-\cfrac{7}{5} \end{array}} \\\\[-0.35em] ~\dotfill[/tex]
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the line AB
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}} \implies \cfrac{ -3 }{ 4 } \implies - \cfrac{3 }{ 4 } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}[/tex]
so we're really looking for the equation of a line that has a slope of 4/3 and that it passes through (3 , 2)
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-2=\cfrac{4}{3}x-4\implies {\Large \begin{array}{llll} y=\cfrac{4}{3}x-2 \end{array}}[/tex]
factorise completely: 9+35x-4x^2
Answer:
- (4x+1) (x-9)
Step-by-step explanation:
-4x^2+35x+9
Factor out the 1:
-(4x^2-35x-9)
Factor:
-(4x+1)(x-9)
Ocean sunfish are well-known for rapidly gaining a lot of weight on a diet based on jellyfish. the relationship between the elapsed time, ttt, in days, since an ocean sunfish is born, and its mass, m(t)m(t)m, left parenthesis, t, right parenthesis, in milligrams, is modeled by the following function:
Every day mass of sunfish is multiplied by factor of (ln(67/50)/6).
In the given question we have a relation between mass of sunfish and time elapsed t. Relation is
M(t) = (67/50) ^(t/6+4) -----(1)
To find out the factor which multiple by mass of sunfish each day, we can take derivative of M(t) function.
Derivative of a function measures the change in fucyion value with respect to change in its argument. It gives rate of change of function with respect to change in given variable value. So, in this problem derivative of mass function M(t) gives the rate of change of M(t) with respect to time , t .. It is represented by dM(t)/ dt.
dM(t)/ dt =( 67/50)^(t/6+4) (1/6)ln(67/50)
We have the used derivative formula d(a^t)/dt = a^t (1) lna
dM(t)/dt = ln(67/50)/6 (67/50)^(t/6+4)
dM(t)/dt = (ln(67/50))/6 M(t)
We can see here that mass funtion is increased by factor ln(67/50)/6 each day.
#Complete question:
Ocean sunfish are well known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and it’s mass, M(t), in milligrams, is modeled by the following function:
M(t)=(1.34)^t/6+4
Complete the following sentence about the daily rate of change in the mass of the sunfish. Round your answer to two decimal places.Every day, the mass of the sunfish is multiplied by a factor of _______.
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If you are standing 23 m for a tree and the angle of elevation from where your standing is 35° what is the height of the tree?
Step-by-step explanation:
angLe of elevation= 35°distance from the tree=23mtantither= opp/adj opp=heightadj= 23mtither=35°tan 35=H/230.7002=H/23H=23×0.7002H=16.10msally purchases some apples and oranges for $5.25. oranges cost 51 cents each and apples costs 42 cents each. sally purchased 11 pieces of fruit in total. how many oranges did sally purchase? g
Sally purchased 7 pieces of orange .
Conversion applied :
1 dollar = 100 cents
Cost of 1 piece of orange = 51 cents
Cost of 1 piece of apple = 42 cents
Let pieces of orange purchased be x .
⇒ pieces of apples purchased = 11 - x .
The following linear equation becomes ,
51 x + 42 ( 11 - x ) = 5.25 * 100
Solving linear equation in 1 variable given above ,
9 x = 63
x = 7
⇒ no. of oranges purchased = 7
Therefore Sally purchased 7 pieces of orange .
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What is the inverse of [tex]f(x) = \sqrt{3x - 2}[/tex] for [tex]x \geq \frac{2}{3}[/tex]
Answer:
[tex]f^{-1}(x)=\cfrac{x^2+2}{3}[/tex]============
Given function[tex]f(x)=\sqrt{3x-2}[/tex]Find its inverse, substitute x with y and f(x) with x[tex]x=\sqrt{3y-2}[/tex][tex]x^2=3y-2[/tex][tex]3y=x^2+2[/tex][tex]y=\cfrac{x^2+2}{3}[/tex]The inverse of f(x) is[tex]f^{-1}(x)=\cfrac{x^2+2}{3}[/tex]