The simplest form of the following are -
a) 4/7 / (1 3/4) = 16/49
b) 5 3/5 / (2 2/3) = 21/10
The word simplify means to make something easier to do or understand. So, reducing or simplifying fractions means we make the fraction as simple as possible. We do this by dividing the numerator and the denominator by the largest number that can divide into both numbers exactly.
We have been given that
a) 4/7 / (1 3/4)
Rewrite as -
= (4/7) / (1× 3/4)
= (4/7) / (7/4)
= (4/7) × (4/7)
= 16/49
b) 5 3/5 / (2 2/3)
Rewrite as -
= (5× 3/5) / (2× 2/3)
= (5× 3/5) / (8/3)
= (28/5) / (8/3)
= (28/5) × (3/8)
= 7/5 × 3/2
= 21/10
= 2.1
Thus , the following are in order of simplicity:
a) 4/7 / (1 3/4) = 16/49
b) 5 3/5 / (2 2/3) = 21/10
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Which set of points does not represent a one-to-one function?
{(9,5), (4,9), (1,7), (8,8), (1,4)}
{(5,9), (8,3), (0, 0), (1,5), (6, 2)}
{(7,4), (1,7), (4,0), (9,5), (3, 3)}
{(9,7), (2,8), (3, 3), (8, 1), (5, 6)}
Answer:
firstg one
Step-by-step explanation:
two x's
One year, Kim pays 9260 income tax work out how much she earned that year
Answer: Kim made roughly 46,300 that year.
Step-by-step explanation:
We know that income tax = 9260
Step 1 is to find out which tax bracket Kim comes under.
The min. tax for those in the 20% bracket is 7,500. (20% * 37,500)
The min. salary for those in the 40% bracket is 45,000. (40% * 112,500)
As Kim pays 9260 in tax, we know that she falls under the 20% bracket. As such, we can conclude that :
20% * (Kim's Salary) = 9260
Kim's Salary = 9260/20%(or 0.2)
Kim's salary = 46,300
Answer: About $55,000k
Step-by-step explanation:
Which expression is equivalent to (5x^−5 y^3)^−2??
thanksss
Answer: I think its 1/5x^10y^-6
Step-by-step explanation:
please let me know if I'm wrong
Wite an equation perpendicular to y=-2x-7 that passes through the point (4,3)
Answer:
y = 1/2 x + 1.
Step-by-step explanation:
A line perpendicular to a line with slope m will have a slope of -1/m.
The line y = -2x - 7 will have a slope of -1/ -2 = 1/2.
Using the point-slope form of a straight line
y - y1 = m(x - x1)
Here m = 1/2 and (x1, y1) = (4, 3).
So, y - 3 = 1/2(x - 4)
y = 1/2x - 2 + 3
y = 1/2 x + 1.
⚡️PLEASE HELP-URGENT⚡️
I only need help with 34.. but I. So confused and I need to go to bed
The error in solving for the equation in the question was that m was not appropriately converted from a negative number.
What error was made?The equation is:
-m/3 = -4
Solving gives:
3 x (-m/3) = 3 x -4
m is a negative and should remain so. The next step is:
-m = -12
m = -12 / -1
m = 12
m is therefore 12 and not -12.
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A function consists of the pairs (2,3),(x,4) , and (5,6). What values, if any, may x not assume?
A relation between a collection of inputs and outputs is known as a function.
The order pairs can't be a function also,
f(x) = -√x → D: x ≥ 0
→ R: y ≤ 0
Which of the ordered pair sets defines a function?A relation is simply a collection of ordered pairs (x, y). In formal mathematics, a function is a relation in which x1= x2 if (x1,y) and (x2, y) are both in the relation. This simply states that two ordered pairs with the same x -value but different y -values cannot exist in a function.A function's range is the set of all its outputs. Example: Consider the function f: A B, where f(x) = 2x and A and B are both sets of natural numbers. In this case, A is the domain and B is the co-domain. The range is then the result of this function.If an x value has more than one y-value associated with it, as in the relation (4, 1), (4, 2), the x-value of 4 has y-values of 1 and 2, indicating that this set of ordered pairs is not a function. If each x-value has only one y-value, the relationship is a function.The order pairs can't be a function also,
f(x) = -√x → D: x ≥ 0
→ R: y ≤ 0
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Help now...you have into 9/27/22 9:10
20 points BONUS IF YOU ANSWER QUICK!
Which phrase tells a major function of the endomembrane system?
producing and storing energy
directing the cell’s activities
manufacturing proteins
transporting substances in a cell
Answer: Transporting substances in a cell.
Step-by-step explanation: Transporting substances in a cell producing and storing energy.
please help me with this
Applying the alternate interior angles postulate, the measure of angle HLI in the diagram is: 56°.
What is the Alternate Interior Angles Postulate?An example of interior angles that lie alternate to each other along a transversal are the angles shown in the image as angle HIL and angle MLI.
According to the alternate interior angles postulate, angle HIL is congruent to angle MLI.
Given that, the measure of angle MLI = 56°, since angles HIL and MLI are congruent angles based on the alternate interior angles postulate, therefore:
Measure of angle MLI = measure of angle HLI
Thus:
The measure of angle HLI = 56°
In conclusion, applying the alternate interior angles postulate, the measure of angle HLI in the diagram is: 56°.
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What is the horizontal asymptote for the rational function?
c. y=x²+2 x-3/x-2
AS we can see that there no degree in the given rational function, so, the value for horizontal asymptote will be 0.
What is the use of asymptotes?The asymptote of a curve is the location at which the curve converges. In other words, the curve and its asymptote are perpetually close, yet they never touch. Big O notation makes use of asymptotes, which are also simple approximations to complex equations and are useful for graphing rational equations among other things.
The asymptote(s) of a curve may often be found by looking at the limit of a value when the function is not defined. These points include and the point where the numerator of a rational function equals zero, as well as others.
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Lesson Check (5.NBT.B.5)
1. There are 198 students in the soccer league.
There are 11 players on each soccer team. How
many soccer teams are there?
2
An auto repair shop records how far each vehicle they receive has been driven. The data for their
most recent 23 vehicles is shown in the histogram below.
What interval contains the 83rd percentile for this data?
The 83rd percentile contains intervals which are 50 and 100 thousand kilometers.
What is a histogram ?
A histogram is a representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals.
It is given that , data for most recent 23 vehicles is shown in the histogram.
On the x-axis distance driven in thousands of kilometers and on the y-axis frequency is represented in the histogram.
For 23 vehicles , we have different ranges of distance driven i.e., 0 - 50 , 50 - 100 , 150 - 200 . 200 - 250 , 250 - 300.
We know that the 83rd percentile meant the distance driven is greater than or equal to 83 %.
i.e.,
Here , 83 lies between 50 - 100 , so , 83rd percentile contains intervals which are 50 and 100 thousand kilometers.
Therefore , 83rd percentile contains intervals which are 50 and 100 thousand kilometers.
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If
LN
and
OQ
are parallel lines and mQPR = 115°, what is mLMP?
The measurement of angle ∠LMP is 65° when angle QPR is 115°.
What is corresponding angle ?
Any pair of angles that lie on opposite sides of two lines cut by a transversal on the same side.
Here, it is given that LN and OQ are parallel lines and ∠QPR = 115°
First, let us find the measurement of angle QPM as angle QPR and angle QPM are supplementary angles that is there sum will be 180° :
∠QPM + QPR = 180°
∠QPM + 115° = 180°
∠QPM = 180° - 115°
∠QPM = 65°
Now, angle QPM and angle LMP are corresponding angles there the measurement of both the angles will be same that is ;
∠QPM = ∠LMP = 65°
Therefore, the measurement of angle ∠LMP is 65°
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Select all the equations by that have the same solution as 2x-5=15
Answer:
2x=20 i guess
Step-by-step explanation:
2x -5= 15
add 5 to both sides
you should get 20
it's 2x=20
How can a graphical representation help you analyze data ?
Answer: It helps in analyzing large quantities, comparing two or more data, making predictions, and building a firm decision.
Step-by-step explanation To visualize the relationship between two numerical variables the most appropriate graph is a scatter plot. If there is a clear distinction between the independent (explanatory) and the dependent (response) variable, it is common to plot the independent variable on the x-axis and the dependent on the y-axis. The main use of a graphical representation of data is understanding and identifying the trends and patterns of the data.
Use the distributive property
to remove the parentheses
(-3+3v+2v)(-9)
Solve the system of equations 8x- 3y =9 4x -4y=-8
Answer:
x = 3, y = 5.
Step-by-step explanation:
8x - 3y = 9
4x - 4y = -8
multiply the second equation by 2:
8x - 8y = -16
Subtract this from the first equation:
5y = 25
y = 5.
Substitute for y in equation 2:
4x - 4(5) = -8
4x = -8 + 20 = 12
x = 12/4 = 3.
Answer:
2
Step-by-step explanation:
1=1=2
Which expression is equivalent to one fifth times the quantity 3 times x plus 10 end quantity minus 11 over 15 times x? negative two fifteenths times x minus two two fifteenths times x minus two negative two over fifteen times x plus two one and one third times x plus two
The expression that is equivalent to the given expression is -2x/15 + 2. The correct option is the third option- negative two over fifteen times x plus two
Evaluating an ExpressionFrom the question, we are to determine the expression that is equivalent to the given expression
The given expression is
1/5(3x +10) - (11/15)x
Clear the parentheses by applying the distributive property
1/5(3x) + 1/5(10) - (11/15)x
3x/5 + 2 - 11x/15
Collect like terms
3x/5 - 11x/15 + 2
(9x - 11x)/15 + 2
-2x/15 + 2
Hence, the expression that is equivalent to the given expression is -2x/15 + 2. The correct option is the third option- negative two over fifteen times x plus two
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the verified answer is wrong.
a(cosb+cosc-1)+b(cosa+cosc-1)+c(cosa+cosb-1)=0
Answer:
Proved!
Step-by-step explanation:
Given Problem:
a(cosB+cosC-1)+b(cosC+cosA-1)+c(cosA+cosB-1) = 0
Solution:
Let ABC be any triangle.
1) Consider the L.H.S (left hand side) of the given equation:
LHS =
We know that,
Projection formula:
= 0 =RHS
(2) Consider the LHS of the given equation:
Hence Proved!!
Expand each logarithm. State the properties of logarithms used. log z²/5
The expanded form of the given logarithms (log z²/5) = 2logz + log 5
The Four Basic Properties of Logs:Four fundamental features are derived directly from the notion that logs are exponents. The first three can be recalled as follows: The log of a product equals the sum of the logs of the elements. A quotient's log is proportional to the difference in between numerator and denominator logs. The log of power is the power multiplied by the log of the base.
Briefing:Given : log z²/5
Applying the property (log a/b = log a +log b)
we get:
log z²/5
log z² + log 5
Applying the property
log z²
2 log z
replacing equation:
log z² + log 5
2logz + log 5
The expanded form of the given logarithms (log z²/5) = 2logz + log 5
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Let f(x)=2 x+5 and g(x)=x²-3 x+2 . Perform each function operation, and then find the domain.
f(x)-g(x)+10
The domain value for f(x)-g(x)+10 = - x²- x + 17
What are the domain of the function f(x)-g(x)+10 ?Given : f(x)=2 x+5
g(x)=x²-3 x+2
Solution:
f(x) - g(x) + 10 = 2 x+5 - x²-3 x+2 +10
f(x) - g(x) + 10 = 2 x+5 - x²-3 x+12
f(x) - g(x) + 10 = - x²- x + 17
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Jonathon collected 4 1/2 kg of seashells. If he gives 2 3/4 kg of seashells to his friend, what is the weight of the
remaining seashells that Jonathon has?
The remaining weight seashells that Jonathon has is 7/4 kg or [tex]1\frac{3}{4}[/tex] kg.
Define fractions.A fraction is a percentage of a whole. This entire sentence could be referring to a single location or a collection of locations. The English word "fraction" derives from the Latin word "fractio," which means "to break." As the first civilization to comprehend fractions, the Egyptians used fractions to solve a number of mathematical problems, including the distribution of food and resources and the absence of a metal currency.
Weight of the remaining sea shells = [tex]4\frac{1}{2}[/tex] - [tex]2\frac{3}{4}[/tex]
Weight of the remaining sea shells = 9/2 - 11/4
Weight of the remaining sea shells = 18-11/4
Weight of the remaining sea shells = 7/4 kg
Weight of the remaining sea shells = [tex]1\frac{3}{4}[/tex] kg
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The weight of the remaining sea shells Jonathan has is 1¾ kg.
What exactly are fractions?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. There are three major types of fractions in mathematics. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are terms that have a numerator and a denominator.So, the weight of the remaining sea shells: 4½ - 2¾
Now, solve the above fraction operation for the weight of remaining sea shells.
= 4½ - 2¾= 9/2 - 11/4= 18-11/4= 7/4kg= 1¾ kgTherefore, the weight of the remaining sea shells is 1¾ kg.
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Choose the correct term to complete each sentence.
A radical expression can always be rewritten using a(n) (rational exponent/inverse relation).
A radical expression can always be rewritten using a rational exponent .
Radicals : The expressions which include a root ( [tex]\sqrt[n]{x}[/tex] ) are called radicals . For ex . [tex]\sqrt{2}[/tex] , [tex]\sqrt[3]{3}[/tex] , [tex]\sqrt[7]{5}[/tex] , and so on .
Rational Exponent : Numbers of the form ( [tex]a^{m}[/tex] ) are called rational exponents . For ex . [tex]7^{2}[/tex] , [tex]11^{3}[/tex] , [tex]5^{5}[/tex] and so on .
A radical can be converted into a rational exponent . This can be done by keeping the no . inside root as it is and reciprocating the index and raising it to the power of exponent .
( [tex]\sqrt[n]{x}[/tex] ) = ( [tex]x^{1/n}[/tex] ) where x is the base and 1 / x is the power of the exponent .
Hence , a radical expression can always be rewritten using a rational exponent .
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Lydia wants to ride her bicycle 34 miles this week. She has already ridden 7 miles. If she rides for 5 more days, which equation could be used to determine xx, the average number of miles she would have to ride to meet her goal?
Answer: Well i tried doing 7x5 but it is 35 and she has to ride her bike 34 miles so hope this helps if not then sorry
Step-by-step explanation:
The equation to determine the average number of miles she would have to ride to meet her goals is
5x = 34 - 7
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total miles = 34 miles
Number of days to ride = 5
The equation to determine the average number of miles.
5x + 7 = 34
Now,
Solve for x.
5x = 34 - 7
5x = 27
x = 27/5
x = 5.4 miles
Thus,
The average number of miles is 5.4 miles.
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9 to the power of -3 as a fraction
Answer:
137174211/100000000000
Step by Step Explanation:
First, find the answer of 9^(-3), which would be 0.00137174211. Then, convert that into fraction form. Which would be 137174211/100000000000. Then simplify, which in order to simplify a fraction, there must be: 1. A number that will divide evenly into both the numerator and denominatior so it can be reduced. No such number exists for 137174211 and 100000000000. or 2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number. 137174211 is not greater than 100000000000, also meaning, this fraction is in it's simplest form.
a) The quadratic x^2-4-21 can be written in the form (x+a)^2+b find the values of a and b
b) Hence, or otherwise, solve the equation x^2-4x-21=0
According to the solving the value of a and b of the X² - 4X - 21 equation are:
a = -2
b= -25
What does quadratic signify in mathematics?A quadratic problem is a sort of problem in mathematics that deals with either a variable multiplied by itself – a process known as squares. The area of a square is defined as its side length multiplied by double itself in this language.
What is the purpose of quadratic?In everyday life, we employ quadratic formulas to calculate areas, determine the profit of a product, or calculate the velocity of an object. Furthermore, quadratic equations are defined as equations with at least one squared variable.
According to the given data:X² - 4X - 21
Expand to check:
For a.
(X - 2)² - 4 - 21 = (X - 2)² - 25
= X² - 4X + 4 - 25
= X² - 4x -21
= (X - 2)² - 25
a = -2 , b = -25
For b.
X² - 4X - 21 = (X - 2)² - 25 due to part a we can say that:
(X - 2)² - 25 = 0
X - 2 = ± 25
x = 7 , X = -3
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PLS HELP QUICKLY
Point F is between points T and K.
The points are collinear.
Answer:
the answer issssssssssssss
first blank is - 12
2nd blank is -3
The points (0, 0) and (1, 3) fall on a particular line. What is its equation in slope-intercept
form?
Answer:
y = 3x
Step-by-step explanation:
Slope-intercept form of an equation is a shortcut, fill-in-the-blank form you can use to write the equation of a line.
Slope-intercept eq:
y = mx + b
You fill in slope where the m is. And you fill in the y-intercept for the b.
In your problem they gave you two points. You can calculate slope with two points. Subtract the y's, 3-0, put that on top of a fraction. And subtract x's, 1-0, put that on the bottom of the fraction. The slope, m, is 3/1, which is 3.
slope:
m = 3-0 / 1-0 = 3/1 =3
The y-intercept is actually given in your problem. The y-intercept is the point where the line crosses the y-axis. The y-intercept is the point where the x is 0. They gave you the point (0,0) that is the y-intercept. So b = 0.
Fill the m and b in with the given numbers!
y = 3x + 0 Simplify.
y = 3x
Question 17 of 25
Which of the following values are in the range of the function graphed below?
Check all that apply.
Answer:
B, C, E
Step-by-step explanation:
Given a graph, you want to know the set of listed values that is included in the range of the graph.
RangeThe range of a function is its vertical extent, the set of output values the function may have. The graph shows a function with a range of ...
-6 ≤ y ≤ 0
Listed values that fall in that range are ...
-1 (B), -2 (C), and -6 (E)
Alonso fue al mercado con $55 para comprar huevos y azúcar. Sabe que necesita un paquete de 12 huevos que cuesta $2.75, Después de obtener los huevos, quiere comprar todo el azúcar que pueda con el dinero restante. El azúcar que le gusta viene en cajas que cuestan $11.50, 50 cada una. Hagamos que S represente el número de cajas de azúcar que compra Alonso.
1) ¿Cuál desigualdad describe este escenario?
2) Después de obtener los huevos, ¿cuántas cajas de azúcar puede comprar Alonso?
The expression that van be used to illustrate the quantities that Alonso will buy is 2.75e + 11.5s = 55.
How to illustrate the information?Total amount = $55
Cost of eggs = $2.75 per pack
Cost of sugar = $11.50 per box
Therefore, based on the information, it should be noted that the expression that can be used to illustrate the information will be:
Let s = sugar
Let e = eggs
Therefore, the expression will be:
(2.75 × e) + (11.50 × s) = 55
2.75e + 11.5s = 55
The expression that van be used to illustrate the quantities that Alonso will buy is 2.75e + 11.5s = 55.
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Natalie is the creator of better brain, a new mindfulness app for teens. the app currently has 1,262 downloads, and natalie has set a goal of doubling the downloads every month. write an exponential equation in the form y=a(b)x that can model natalie's goal for the number of downloads, y, in x months. use whole numbers, decimals, or simplified fractions for the values of a and b.
Firstly we will analyze the question statement to determine the best possible answer.
So, the statement tells us about a person named Natalie,, the owner of an App designed for teenagers. Currently, the New Mindfulness app has One thousand two hundred and sixty-two downloads. Natalie sets a target to take her App downloads to double every month.
We are expected here to provide her with the best possible exponential equation to make her achieve the set goal.
We can use two variables for our exponential equation:
y for the number of downloads.
And x for the months.
We can use any value (Whole numbers, decimals, or fractions) in our exponential equation.
Now while keeping in mind all the necessary details, we can make the exponential equation as below:
Y= 1262 (2 x b) ^ x
Where Y are the downloads
X= 1 month or 30 days
By putting the values:
Y=1262 (2) ^ 1 month
Y=2524 after one month
So, the total number of downloads will double using the above exponential equation.
The pictures below show a relationship between the number of downloads Y and the month X.
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Answer: 1262(2)^x
Step-by-step explanation: