The area of the of the rectangle is 5.25square inch and the area of the square is 6.25square inch. Therefore the square has larger area.
What is area of plane shape?The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape. We calculate the area for different shapes using formulas.
Area formula in rectangle is L× W and in square is L^2. This happened in square becos square has all it's sides equal. Where L and W are length and Width respectively
The area of rectangle with dimension 7inches by 3/4 inch is 7×3/4= 5.25 square inches
The area of the square with dimension 2 1/2 inches is( 5/2)^2= 25/4= 6.25m
Therefore the square has larger area
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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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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
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]Can someone help me please?
Question 1
[tex]\frac{a-0}{a-0}=1[/tex]
Question 2
[tex](1)(-1)=-1[/tex]
Besa brings 2 boxes of chocolates. Each box has a painting on the front. The picture in the 320 g box has the shape of a rectangle with dimensions 102mm by 170mm. The painting on the 480g box is sized 140mm by 226mm. Show that the two rectangles are not congruent similarly.
The short side of one box divided by the short side of the other box must equal the long side of one box divided by the long side of the other box. If the results are the same, they are proportional, if not, they are not proportional
[tex]\frac{102}{140} = 0.72 \\\\\frac{170}{226} = 0.75[/tex]
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?
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.
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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If a $900 plasma screen TV
is reduced by 25%, what is
the discount?
Answer: $225
Step-by-step explanation: 900 * .25 = 225
Answer:
$225
Step-by-step explanation:
25 : 100 = x : 900
x = 25 * 900 / 100
x = 25 * 9
x = 225
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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(Factoring Algebraic Expressions MC) Factor −4x2 + 12x. 4x(−x + 3) −4x(x + 3) x(4x + 12) 4(−x2 + 12x)
The factorization of given polynomial is 4x(-x+3). Therefore, option A is the correct answer.
The given algebraic expression is -4x²+12x.
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
The factorization of the given polynomial is
-4x²+12x
= 4x(-x+3)
The factorization of given polynomial is 4x(-x+3). Therefore, option A is the correct answer.
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share #5200 in the ratio 13:27
sally 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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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=16.10mCarlos’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.
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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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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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)
The formula d=16f^2 describes the number of feet d a skydiver falls in t second of free fall. How far does a skydiver fall after 1.5 second?
The skydiver falls a distance of 36 feet after 1.5 seconds.
What is the distance?Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.Now, we have:
d=16t²t=1.5 secondsTo calculate distance:
d = 16 * 1.5*1.5d= 36 feetTherefore, the skydiver falls a distance of 36 feet after 1.5 seconds.
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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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how do i make v the subject of the formula, W=5+v/v-3
The expression that makes v the subject of the formula, W=5+v/v-3 is v= (5 + 3W)/ (W-1).
How can the subject of the formula be made?The concept is the concept of finding the subject of the formula in an expression.
To know the subject of the formula, we will need to perform some simplification:
W=5+v/v-3
then this can be expressed as:
W(v-3) = 5+v
Wv - 3W = 5+v
then we can rearrange the expression as:
Wv - v = 5 + 3W
then we can factorize the expression as :
v(W-1) = (5 + 3W)
v= (5 + 3W)/ (W-1)
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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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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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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
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.
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:
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
state how the 2 triangles are congruent? SSS AND SAS!! hello!!!
Answer:
SAS
Step-by-step explanation:
We now that 2 sides are congruent because of the congruent marker, and the bases of the triangles are the same, meaning they are congruent. And we also have a congruent pair of angles. So we can tell if they are congruent by using the SAS theorem.
-Hope this helped
227 x 173 simplify using identities. Ple someone answer quickly.....
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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