The original amount borrowed was approximately $34,211.1.
To compute the first sum acquired, we can involve the recipe for the current worth of a customary annuity, which addresses a progression of equivalent installments made toward the finish of every period. The recipe is:
PV = [tex]PMT * (1 - (1 + r)^{(-n)}) / r[/tex]
where PV is the present value, PMT is the payment amount, r is the interest rate per period, and n is the total number of periods.
In this case, we have monthly payments, so we need to convert the APR to a monthly interest rate by dividing it by 12. We also have a 4-year loan, which means 48 monthly payments.
APR = 9.25%
Monthly interest rate = APR / 12 = 0.0925 / 12 = 0.00771 (rounded to five decimal places)
Total number of payments = 48
Total amount of payments = $4,200.0
Substituting these values into the formula, we get:
PV =[tex]PMT * (1 - (1 + r)^{(-n)}) / r[/tex]
PV = [tex]$4,200.0 * (1 - (1 + 0.00771)^{(-48)}) / 0.00771[/tex]
PV = $4,200.0 x (1 - 0.5180) / 0.00771
PV = $34,211.1 (rounded to the nearest tenth)
Therefore, the original amount borrowed was approximately $34,211.1.
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pls show simple working out
Step-by-step explanation:
the angles which occupy the same relative position at each intersection where a straight line crosses two others, are called corresponding angles. If the two lines are parallel, the corresponding angles are equal.
two angles, not adjoining one another, that are formed on opposite sides of a line that intersects two other lines, are called alternate angles. If the original two lines are parallel, the alternate angles are equal.
since we are only dealing with parallel lines here, the angles are always equal.
a)
a = 60°, alternate
b)
a = 75°, corresponding
c)
a = 108°, corresponding
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
The measure of angle A is 85^o.
What is a quadrilateral?A quadrilateral is any form of plane figure which is bounded by four straight sides. Examples include: square, rhombus, rectangle trapezium etc. Each example of quadrilateral has differentiating properties.
The given quadrilateral ABCD inscribed in the circle has the shape of a rhombus. So we have:
the measure of opposite internal angles of a rhombus are congruent, so that;
x + (2x + 1) + 148 + (2x + 1) = 360
5x + 150 = 360
5x = 360 - 150
5x = 210
x = 210/ 5
= 42
x = 42^o
Thus measure of angle A = (2x + 1)
= 2*42 + 1
= 85^o
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What is the coefficient a in the factorization: \[ x^{2}+a x y+b y^{2}=(x+5 y)(x-4 y) \] Select one: a. \( -20 \) b. 5 c. \( -1 \) d. \( -4 \) e. 1
The coefficient a in the factorization [ x²+a x y+b y²=(x+5 y)(x-4 y) ] is -1. The correct answer is C
Terms are the sum of the numbers or variables, factors are the sum of the numbers or variables multiplied, and coefficient is the number multiplied by the variable.
To find the coefficient a, we can expand the right side of the equation and compare it to the left side.
Expanding the right side gives us: [ (x+5 y)(x-4 y)=x²-4 x y+5 x y-20 y² ]
Simplifying the right side gives us: [ x²+x y-20 y² ]
Comparing this to the left side of the equation, we can see that the coefficient a is -1.
Therefore, the correct answer is c. ( -1 ).
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Which statement is an example of the transitive property of congruence?
A. if KLM= PQR and PQR= STU , then KLM=STU
B. If KLM= PQR, then PQR= STU.
C. If KLM= PQR, then PQR= KLM.
D. KLM=KLM
Option A → If KLM ≅ PQR and PQR ≅ STU , then KLM ≅ STU, is the correct answer for the transitive property of congruence.
What is congruency?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Given is to write the transitive property of congruence.
Transitive Property of Congruence →The transitive property of congruence states that “ if two shapes are congruent to the third shape, then all the shapes are congruent to each other. So, we can conclude that option A is the correct answer.
Therefore, Option A → If KLM ≅ PQR and PQR ≅ STU , then KLM ≅ STU, is the correct answer for the transitive property of congruence.
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I really need help, this is due tomorrow
Answer:
Your answer:
6. x = 8
8. x = 3
Step-by-step explanation:
Basic calculation involving adding/subtracting and multiplying and dividing.
Formula for Area of a Rectangle:
Area = Length * Width.
6. Given information
A = 165 cm^2
length = 4x + 1
width = 5
(4x + 1) * 5 = 165 cm^2
5 * (4x + 1)= 165
20x + 5 = 165
20x = 160
x = 8
8. Given information
A = 40 cm^2
length = 7x - 1
width = 2
(7x - 1) * 2 = 40 cm^2
2 * (7x - 1)= 40
14x - 2 = 40
14x = 42
x = 3
−52 < 2 (3x -2) answers -10 -6 -8 -9
The value of the inequality for the expression is: x > -8
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
To solve the inequality, we need to isolate the variable, x.
We begin by simplifying the expression inside the parentheses:
2(3x - 2) = 6x - 4
Now we can substitute this expression into the original inequality:
-52 < 6x - 4
Add 4 to both sides:
-48 < 6x
Divide both sides by 6:
-8 < x
So the solution to the inequality is x > -8.
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Your sucessful art supply store, Warpz, just solf 30% of its inventory over the weekend. If on the second day you only sold 15% of the inventory that was left in the store, what percent of the total inventory was sold?
Please give an explanation!
18% of the total inventory was sold.
What is percentage?A percentage is a fraction of an amount expressed as a particular number of hundredths of that amount.
Given that, 30% of the inventory is sold over the weekend, on the second day only 15% of the inventory that was left in the store to be sold,
Let x be the total inventory,
Sold inventory = 30% of x,
The second day = x - 30% of x is sold
x -30% of x = 15% of x
x - 0.3x = 0.15x
x = 0.3x+0.15x
x = 0.18x
x = 18% of x,
Hence, 18% of the total inventory was sold.
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In order to make a profit, a store will sell items at a markup from their wholesale price. After markup, the price of a pair of pants is $33.60. If the price of the pants after markup is 140% of the wholesale price, which equations represent, w , the price before markup?
Select all that apply.
A
33.60=1.40w
B
1.40=33.60w
C
33.60+1.40=w
D
33.60−1.40=w
E
w(1+0.40)=33.60
F
33.60=1.40(w+1)
The equation represents the 33.60+1.40=w that a shop will use to determine the markup from its wholesale price.
What sort of equation would that be?The definition of the an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What about the equation's meaning?A mathematical equation is a statement that two numbers or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. When two or more components must be taken into account together in order to comprehend or describe the whole situation, this is known as an equation.
Let w be the wholesale price, then the price after markup is:
w + 140%
[tex]w=w+1.4w=2.4w[/tex]
we know price after markup is $[tex]33.60[/tex]
2.4w = $33.60
we can solve w
w = $33.60 / 2.4 = $14.00
So the wholesale price before markup is $14.00.
The equation represents the 33.60+1.40=w
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19 minus twice a number is less than or equal to 10
The mathematical expression for the given statement is:
[tex]$19 - 2x \leq 10$[/tex]
What is expression ?In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, *, /) that represents a value or a calculation. It can contain variables, which are placeholders for unknown or changing values, and can be simplified or evaluated using mathematical rules and operations. Examples of expressions include 3x + 5, (a + b) / 2, and √(16 - 3y).
According to given information :The mathematical expression for the given statement is:
[tex]$19 - 2x \leq 10$[/tex]
where x is the unknown number.
Therefore, the mathematical expression for the given statement is:
[tex]$19 - 2x \leq 10$[/tex]
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3x - 3 = root^2 of 3x^2 + 177 What is the sum of all the solutions to the above equation? A - 11 B) -3
C) 3
D) 7
We start by isolating the square root on one side of the equation:
3x - 3 = sqrt(3x^2 + 177)
Squaring both sides of the equation gives:
(3x - 3)^2 = 3x^2 + 177
Expanding the left-hand side gives:
9x^2 - 18x + 9 = 3x^2 + 177
Simplifying gives:
6x^2 - 18x - 168 = 0
Dividing both sides by 6 gives:
x^2 - 3x - 28 = 0
We can now solve for x using the quadratic formula:
x = (3 ± sqrt(3^2 + 4128)) / 2
x = (3 ± 7) / 2
Therefore, the solutions are x = -2 and x = 5, and their sum is -2 + 5 = 3.
Thus, the answer is (C) 3.
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HELP ME ASAP!!!!
2) Practice: Organizing Information
Fill in the blanks to complete the flowchart.
How to Use Elimination to Solve a System of Two Linear Equations
1. Elimination
2. Variable
3. Equation
4. Solve
5. Equation
6. Variable
7. Substitution
My best estimate
Elimination , variable ,equation , Solve , equation, variable, substitution .
Describe Equation?An equation is a mathematical statement that asserts that two expressions are equal. It consists of two sides, the left-hand side and the right-hand side, separated by an equal sign (=). The expressions on both sides of the equation can be numbers, variables, or a combination of both, and the equal sign indicates that the two expressions have the same value.
Equations are used in mathematics to represent relationships between quantities, to solve problems, and to describe various phenomena. They are used in many areas of science, engineering, and economics, as well as in everyday life.
For example, the equation "2x + 3 = 7" represents the relationship between an unknown quantity x and the value 7. By solving this equation, we can find the value of x that makes the equation true. In this case, the solution is x = 2.
Identify elimination as the best method for the problem.
Find a variable with equal or opposite coefficients in the system.
Add or subtract one equation from the other.
Solve the one-variable equation.
Substitute the value of that variable into the other equation.
Solve for the second variable.
Check your answer. Use substitution and/or graphing.
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A vector u and a set S are given. If possible, write u as a linear combination of the vectors in S. U = [3], S= {[1], [2], [-2}}
[8] {[2] [3] [-5]}
Therefore, one possible way to write vector u as a linear combination of the vectors in set S is:
u = [2] + [3]
To write vector u as a linear combination of the vectors in set S, we need to find scalars a, b, and c such that:
u = a[1] + b[2] + c[-2]
Substituting the given values of u and the vectors in S, we get:
[3] = a[1] + b[2] + c[-2]
To solve for the scalars a, b, and c, we can set up a system of equations:
3 = a + 2b - 2c
Since we only have one equation and three unknowns, there are infinitely many solutions to this system. One possible solution is:
a = 1, b = 1, c = 0
Substituting these values back into the equation, we get:
[3] = 1[1] + 1[2] + 0[-2]
Therefore, one possible way to write vector u as a linear combination of the vectors in set S is:
u = [1] + [2]
Similarly, for the second set of vectors, we need to find scalars d, e, and f such that:
u = d[2] + e[3] + f[-5]
Substituting the given values of u and the vectors in S, we get:
[8] = d[2] + e[3] + f[-5]
To solve for the scalars d, e, and f, we can set up a system of equations:
8 = 2d + 3e - 5f
Since we only have one equation and three unknowns, there are infinitely many solutions to this system. One possible solution is:
d = 2, e = 2, f = 0
Substituting these values back into the equation, we get:
[8] = 2[2] + 2[3] + 0[-5]
Therefore, one possible way to write vector u as a linear combination of the vectors in set S is:
u = [2] + [3]
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The graph shows the amount of water in a sink after several minutes.
Which function represents this situation?
A. y = -2x + 5
B. y = -3/2x + 5
C. y = -2/3x + 5
D. y = 2/3x + 5
The correct answer is B. The graph shows the amount of water in a sink after several minutes, so it is a decreasing function.
What is graph?Graph is a mathematical structure used to represent connections or relationships between objects. It consists of nodes, which are connected by edges. Graphs are used in computer science and other fields to represent networks of communication, data organization, computational devices, the flow of computation, and other objects. Graphs are also used to represent the abstract connections between objects in a more visual way. Graph theory is the study of graphs and their properties.
Option B, y = -3/2x + 5, is a linear function with a negative slope, which is the correct representation for this situation. This equation can be used to find the amount of water in the sink after any given number of minutes.
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~ -8 - (-6)
~ -3 - (-7)
~ 6 - (-7)
~ -2 - (-15)
~ -12 - 3
~ -4 - 12
~ 9 - (-5)
Answer:
Using the rules of arithmetic, we can simplify the given expressions as follows:
-8 - (-6) = -8 + 6 = -2
-3 - (-7) = -3 + 7 = 4
6 - (-7) = 6 + 7 = 13
-2 - (-15) = -2 + 15 = 13
-12 - 3 = -15
-4 - 12 = -16
9 - (-5) = 9 + 5 = 14
Therefore, the simplified expressions are:
-2, 4, 13, 13, -15, -16, and 14.
Been stuck on this assignment for a while and it's overdue. I want to turn it in today. Can someone help me get a head start so I can get it done today? This would be a nice birthday present, I'm 18 on March 1 :)
Answer:
Its mostly a step by step process
Step-by-step explanation:
Just Put your full name and the date your depositing the money where the date is and how many bills your depositing how many coins if you don't have coins don't answer it the total amount would be 800 and the net deposit. I added a link just in case. Happy birthday btw.
1. The table below gives the amount of time students in a class studied for a test and their test scores. Graph the data on a scatter plot, find the line of best fit, and write the equation for the line you draw.
The equation for the line of best fit is y = 5.43x + 76.41.
The correlation coefficient is 0.79
How to find an equation of the line of best fit for the data?In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).
In this scenario, the number of hours would be plotted on the x-axis of the scatter plot while the test scores would be plotted on the y-axis of the scatter plot.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the number of hours and test scores, a linear equation for the line of best fit is given by:
y = 5.43x + 76.41
In conclusion, the type of correlation between the variables is a strong positive correlation.
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Jan is researching the average annual income that people earn in her state based on the level of education they have received.
Based on the table, how much more would someone with a bachelor’s degree earn compared to someone with a high school diploma over a period of 30 years?
Step-by-step explanation:
well, we don't need to look for any fancy calculation tricks.
all we need to do is calculate the amounts in both cases and then calculate the difference.
bachelor's degree income in 30 years :
59,100×30 = $1,773,000
high school diploma income in 30 years :
35,250×30 = $1,057,500
the difference is
$1,773,000 - $1,057,500 = $715,500
a person with a bachelor's degree would earn
$715,500
more over a period of 30 years than a person with only a high school diploma.
this is not considering the changes of the income levels over the period of 30 years (that adds insult to injury ...).
At the fair, the Double Shot
ride costs $6. 00 per ride. The
operator of the ride muchi pay
$200 per day for the ride
rental and $65 per day for a
safety inspection. If he wants
to inake a profit of at least
$1,000 each day, what is the
minimum number of people
that must ride the Double
Shot?
The minimum number of people is not possible for the given situation operator has to revise the cost.
Let us consider the minimum number of people ride the Double Shot be x.
Cost per ride = $6.00
Revenue earned from the ride = $6.00x
Rental fee of the ride = ($200).
Safety inspection fee = ($65)
Cost of the rides = 6x
⇒ Total Cost = $200 + $65 + ($6.00)x
Profit of at least $1,000 each day.
This implies,
Revenue ≥ Total Cost + Desired Profit
Substituting the expressions for revenue and total cost,
$6.00x ≥ $200 + $65 + ($6.00)x + $1,000
Simplifying the above expression we get,
$6.00x ≥ $1,265 + ($6.00)x
Subtracting ($6.00)x from both sides we get,
$0.00x ≥ $1,265
⇒No solution for x, because the number of riders cannot be negative.
⇒Operator must either increase the price per ride, decrease the costs, or revise their profit goal.
Therefore, for the given cost it is impossible to get the minimum number of people.
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Question 4(Multiple Choice Worth 2 points)
(Volume of Cylinders MC)
What is the volume of the cylinder? Round to the nearest hundredth and approximate using π = 3.14.
cylinder with a segment from one point on the circular base to another point on the base through the center labeled 2.6 feet and a height labeled 4.4 feet
23.35 cubic feet
35.92 cubic feet
71.84 cubic feet
93.4 cubic feet
The volume of the Cylinder is 24.11 cubic feet.
What is Volume?Volume refers to the amount of space occupied by a three-dimensional object, measured in cubic units.
The radius of the cylinder is half the diameter of the circular base, so:
r = 2.6/2 = 1.3 feet
The volume of the cylinder is given by:
V = πr²h
Substituting the values given:
V = 3.14 × 1.3² × 4.4 ≈ 24.11 cubic feet
Rounding to the nearest hundredth:
V ≈ 24.11 cubic feet
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Solve for the unknown. Round decimals to hundredths and percents to the nearest tenth. 950 increased by 40% =
Answer: We can start by translating the given sentence into an equation:
950 + 0.40(950) = x
where x is the unknown amount after the 40% increase.
To solve for x, we can simplify the right-hand side of the equation:
950 + 0.40(950) = x
950 + 380 = x
1330 = x
Therefore, the unknown amount after the 40% increase is 1330.
Rounding 1330 to the nearest tenth gives 1330.0, and converting to a percent gives 133000%.
Step-by-step explanation:
Find the 12th term of the geometric sequence 9, - 18, 36, .
The 12th term of the geometric sequence 9, - 18, 36, is 18,432.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Next, we would determine the common ratio as follows;
Common ratio, r = a₂/a₁
Common ratio, r = -18/9
Common ratio, r = -2
For the 12th term, we have:
a₁₂ = 9(2)¹²⁻¹
a₁₂ = 18,432.
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Question 2 (1 point)
What is the value of the following
The value of the expression 7₂ + 3₃ is 10₅.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.
Given:
An expression is 7₂ + 3₃.
To find the value of the expression, first, add 7 and 3.
That means, 7 + 3 = 10.
Now add 2 and 3,
2 +3 = 5
So, the value of the expression is 10₅.
Therefore, the result is 10₅.
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how to calculate 8+3(5-7)
Answer:
How to calculate 8 + 3(5 - 7)
Use Pemdas
Pemdas
8 + 3(5 - 7)
5 - 7
= -2
8 + 3 ⋅ -2
Pemdas
8 + 3 ⋅ -2
3 x -2
= -6
8 + -6
Pemdas
8 + -6
= 28 + 3(5 - 7) = 2Step-by-step explanation:
You're welcome.
Answer:
8+3(5-7)=-2
You will use the"Bracket Of Division Multiplication Addition and Subtraction(BODMAS)" method. Hence solve the one in the bracket first. So it's going to be 5-7 which is -2.Then you continue with the multiplication of 3 by the -2 you got making -6. Finally add the 8 to the -6 making 2.
In the game between Alphas and Betas the points of Alphas in the score
were in ratio 20 : 100 to the sum of points of both teams when Alex
substituted Appolo. Alex instantly scored his first point after that made
an uninterrupted sequence of hits before his reverse substitution. When
he was leaving the ground the ratio of the score of Alphas to all the
scored point in the game was 50 : 100. What ratio of all the points scored
up to that moment were Alex hits?
The ratio of all points scored up to the moment when Alex left the ground was 25 : 100. This means that out of all the points scored, 25% were Alex's hits.
What is ratio?Ratio is a comparison between two or more numbers. It is usually expressed in the form of a fraction, with the numerator being the first number and the denominator being the second number. Ratios can also be expressed in terms of a percentage or a proportion. Ratios help to compare two or more values and can be used to indicate relationships between different parts of a system. For example, if the ratio of apples to oranges is 2:3, then for every two apples, there are three oranges.
The reason for this is that when Alex entered the game, Alphas had a score of 20 points out of a total of 120 points. After his reverse substitution, Alphas had a score of 50 points out of a total of 100 points. This means that Alex scored 30 points in total during his time in the game. Therefore, the ratio of Alex's hits to the total points scored is 30 : 100, or 25%.
This shows the impressive contribution that Alex made in the game. Despite playing for a relatively short period of time, he was able to score a quarter of all the points in the game. This highlights Alex's skill and shows what a difference an individual player can make in a team sport.
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\ all shoe 25 PERCENTAGE says the sign. what will be the sale
price of pair of dress shoes originally at $69.98 type o-*
The sale price of a pair of dress shoes originally at $69.98 with a 25% discount will be $52.49.
To find the sale price, you need to calculate the discount amount and subtract it from the original price.
Step 1: Find the discount amount by multiplying the original price by the discount percentage.
$69.98 x 0.25 = $17.49
Step 2: Subtract the discount amount from the original price to get the sale price.
$69.98 - $17.49 = $52.49
Therefore, the sale price of the dress shoes will be $52.49.
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True or false? a. A 95% confidence interval for the odds ratio between MI (yes, no) and treatment (placebo, aspirin) is (1.44, 2.33). If we form the table with aspirin in the first row (instead of placebo), the confidence interval is (1/2.33, 1/1.44) = (0.43, 0.69). b. A survey of college students analyzes the association between opinion about whether it should be legal to (1) use marijuana, (2) drink alcohol if you are 18 years old. We may get a different odds ratio value if we treat marijuana use as the response variable than if we treat alcohol use as the response variable. c. Interchanging two rows or interchanging two columns in a contingency table has no effect on the value of the X? or G-chi-squared statistics. Thus, these tests treat both the rows and the columns of the contingency table as nominal scale, and if either or both variables are ordinal, the test ignores that information. d. Suppose that income (high, low) and gender are conditionally independent, given the type of job (secretarial, construction, service, professional, ...). Then, income and gender are also independent in the 2 x 2 marginal table. e. According to the Pew Research Center (www.people-press.org), when adults in the US were asked in 2010 whether there is solid evidence that the average temperature on Earth has been getting warmer over the past few decades, the esti- mated odds of a yes response for a Democrat was 2.96 times higher than for an Independent, and it was 2.08 times higher for an Independent than for a Repub- lican. The estimated odds ratio between opinion on global warming and whether one is a Democrat or a Republican equals 2.96 x 2.08 = 6.2.
a. False. If we form the table with aspirin in the first row (instead of placebo), the confidence interval is (1/2.33, 1/1.44) = (0.43, 0.69).
b. True. We may get a different odds ratio value if we treat marijuana use as the response variable than if we treat alcohol use as the response variable.
c. False. Interchanging two rows or interchanging two columns in a contingency table does have an effect on the value of the X2 or G-chi-squared statistics. Thus, these tests treat both the rows and the columns of the contingency table as nominal scale, and if either or both variables are ordinal, the test takes that information into account.
d. False. Income and gender are not necessarily independent in the 2 x 2 marginal table, even if they are conditionally independent given the type of job.
e. False. The estimated odds ratio between opinion on global warming and whether one is a Democrat or a Republican does not equal 2.96 x 2.08 = 6.2, it equals (2.96/2.08) = 1.42.
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For the following exercises, decide if the function continuous at the given point. If it is discontinuous, what type of discontinuity is it?
Both the limits are equal to -1, which means the function is continuous at x=1. Therefore, there is no discontinuity at x=1. So, The function is continuous at x=1.
To determine if the function is continuous at x=1, we need to evaluate the left and right limits of the function at x=1 and see if they are equal.
Left limit as x approaches 1:
\lim_{x\to 1^-}\frac{2x^2-5x+3}{x-1} = \frac{2(1)^2-5(1)+3}{1-1} = \frac{0}{0}
Right limit as x approaches 1:
\lim_{x\to 1^+}\frac{2x^2-5x+3}{x-1} = \frac{2(1)^2-5(1)+3}{1-1} = \frac{0}{0}
Since both limits are indeterminate forms of 0/0, we can use L'Hopital's Rule to evaluate them.
Taking the derivative of the numerator and denominator of the original function, we get:
\lim_{x\to 1^-}\frac{4x-5}{1} = -1
\lim_{x\to 1^+}\frac{4x-5}{1} = -1
Both limits are equal to -1, which means the function is continuous at x=1. Therefore, there is no discontinuity at x=1.
To learn more about L'Hopital's Rule
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What is the area of the unshaded part of the following composite figure? Round your answer to the nearest tenth. NEED THE ANSWER ASAP.
Answer:
60m^2
Step-by-step explanation:
15.1×10.3=155.53
155.53÷2=77.765
2.8×6.5=18.2
77.765-18.2= 59.565
rounded to nearest 10th = 60m^2
Find the length of each leg,hyp,opp,adj
The length of the legs are 2 units and 3.464 units
How to determine the length of the legsFrom the question, we have the following parameters that can be used in our computation:
The triangle
The legs can be calculated using sine and cosine ratios
Using the above as a guide, we have the following:
sin(30) = PQ/Hyp
cos(30) = RQ/Hyp
Substitute the known values in the above equation, so, we have the following representation
PQ/4 = 0.5
RQ/4 = 0.8660
So, we have
PQ = 4 * 0.5
RQ = 4 * 0.8660
Evaluate
PQ = 2
RQ = 3.464
Hence, one of the leg is 3.464 units
Read more about right triangle at
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12. Use the diagram below to solve for x.
(MGSE9-12.G.C.2)
в
362
A
a. 115°
b. 50.5°
65
X
D
c. 94°
d. 324
Answer:
c.
Step-by-step explanation:
the inner angle is half of the sum of both outer angles.
65 = 1/2 × (36 + x)
130 = 36 + x
x = 130 - 36 = 94°