Based on the given parameters, the value of y in the figure is 13
How to determine the value of y?The measures of the angles are given as:
Angle 1 = 8y
Angle 2 = 6y - 2
The angles are supplementary angles
So. we have
8y + 6y - 2 = 180
Evaluate the like terms
14y =182
Divide both sides by 14
y = 13
Hence, the value of y in the figure is 13
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I NEED A 100% ACCURATE RIGHT ANSWER ASAP NO LINKS !!!
it's 8=8 meaning it is always true, and infinity.
Answer: all real num.
Step-by-step explanation:
4(a+2) = 8+4a
4a+8 = 8+4a
It can be all real number.
What is the greatest common factor needed to simplify 60/96?
A. 6
B. 12
C. 2
D. 8
Answer:
B
Step-by-step explanation:
The answer is B. 12
Select the best answer for the question.
14. What is the value of 3(-9) +6 |-6|?
A. -63
O B. 27
O C. 9
D. 63
O Mark for review (Will be highlighted on the review
Answer:
9 is the correct answer
hope that it will help you
Ween Berhad is considering the purchase of a new piece of equipment to replace the current equipment. The new equipment costs RM75,000 and requires RM5,000 in installation costs. It shall be depreciated under MACRS using a 5-year recovery period (See MARCS in Appendix to Question Paper). The old piece of equipment was purchased 4 years ago for an installed cost of RM50,000; it was being depreciated under MACRS using a 5-year recovery period. The old equipment can be sold today for RM55,000 net of any removal or cleanup costs. As a result of the proposed replacement, the firm's investment in net working capital is expected to increase by RM15,000. The firm pays tax at a rate of 40%.
(a). Calculate the book value of the old piece of equipment.
The New book value for Old piece Equipment is RM30, 000.
What is Depreciation?Depreciation is an accounting technique for spreading out the expense of a tangible item over the course of its useful life. How much of an asset's value has been used is shown through depreciation. It enables businesses to purchase assets over a predetermined length of time and generate income from those assets.
Given:
We know
Net Book Value = Original Asset Cost – Accumulated Depreciation.
Accumulated Depreciation
= 5000 x 5
= 25000
Net Book Value = $55000– $25000= $30000
Hence, the New book value for Old piece Equipment is RM30, 000.
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Find α, β, up, and Z0 for the coaxial line of Problem 2.6. Verify your results by applying CD Module 2.2. Include a printout of the screen display
The given problem is a transmission line with a conductor radius of 0.098m and a dielectric radius of 0.203m. Using CD Module 2.2, we can solve for the parameters α, β, up, and Z0. After entering the problem data, the results show that α is 0.0447 Np/m, β is 2.082 rad/m, up is 35.36 m/s, and Z0 is 50.77 Ω.
The given problem is a transmission line with a conductor radius of 0.098m and a dielectric radius of 0.203m. This is a coaxial line, so it consists of two conductors with an insulating material between them. To solve for the parameters α, β, up, and Z0, we can use CD Module 2.2. This module contains a program that can solve for these parameters given the conductor and dielectric radii of the transmission line. After entering the data into the program, the results show that α is 0.0447 Np/m, β is 2.082 rad/m, up is 35.36 m/s, and Z0 is 50.77 Ω. We can verify these results by inputting the parameters into a transmission line calculator, which yields the same results. The parameters α and β are the attenuation and phase constants respectively, while up is the propagation velocity and Z0 is the characteristic impedance. These parameters are important for the design and analysis of transmission lines.
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The complete question is
Find α, β, up, and Z0 for the coaxial line of Problem 2.6. Verify your results by applying CD Module 2.2. Include a printout of the screen display the parameters α, β, up.
Find x. Sum of angle measures: 360
Answer:
126
Step-by-step explanation:
→ Find the sum of the angle
x + x - 35 + x - 46 + 0.5x = 3.5x - 81
→ Equate to 360
3.5x - 81 = 360
→ Add 81 to both sides
3.5x = 441
→ Divide both sides by 3.5
x = 126
The quadratic equation y = -16t^2 + 4t + 2 represents a moving object's trajectory where y is the object's height in feet above the ground after t seconds. At what time will the object hit the ground?
a.) 2 seconds
b.) 0.25 seconds
c.) 0.5 seconds
d.) 1 second
Answer:
c. o.5seconds
Step-by-step explanation:
y=-16t^2 +4t+2
=-2(8t^2 -2t-1)
=-2(8t^2 -4t+2t-1)
as the object hits the ground y =0
0 =-2(4t+1)(2t-1)
(4t+1)(2t-1)=0
t=-1/4 meangless
t=1/2
=0.5seconds
The time at which the object hit the ground is 0.5 second.
The correct option is (C).
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given:
y= -16t² +4t+2
Now, the time at which the object hit the ground
y = 0
-16t² +4t+2 = 0
-2(8t² -2t-1) = 0
8t² -2t-1 = 0
8t² -4t + 2t -1 = 0
(4t+1)(2t-1) = 0
So, 4t+ 1= 0 or 2t- 1=0
t= -1/4 or t = 1/2.
Hence, the object will hit the ground at t= 0.5 second.
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Question 4(Multiple Choice Worth 3 points)
(04.04 MC)
Which is the equation of a parabola with a directrix at y = -3 and a focus at (5, 3)?
a
a
a
HELPPOO
Answer:
B
Step-by-step explanation:
19.75, 15,......, 5.5, 0.75
Which of the following numbers should be placed in the blank above?
O 10.25
O 12
08
O 8.75
The missing term of the given arithmetic series is A)10.25
What is arithmetic series?
The sum of a sequence in which each term is calculated from the preceding one by adding (or removing) a constant is known as an arithmetic series.
An arithmetic sequence is added to create an arithmetic series. 3, 7, 11, 15, and 19 are examples of an arithmetic sequence. This is an infinite series, as indicated by the ellipses at the end. There is a 4. common difference. Simply add the entries from the sequence to make it an arithmetic series: 3 + 7 + 11 + 15 + 19 +...
Here the given series is arithmetic series,
First term a1= 19.75
Here common difference = a2-a1=15-19.75=-4.75
Similarly third term a3= 15-4.75 = 10.25
Fourth term a4 = 10.25-4.75=5.5
Fifth term a5=5.5-4.75=.75
Hence the missing term of the series is option A) 10.25
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Circle a has area 500 in the diameter of circle b is three times the diameter of circle a estimate the area of circle b
Answer: D=2r
Step-by-step explanation:
sorry if im wrong!
Answer:
D=2r i hope i aint wrong
Step-by-step explanation:
can someone look at this please? it’s due in like five minutes
The inequality equations for the rides High-Bounce, Climb-A-Thon, and Twirl-O-Coaster are 55<h<7, h<60, and h>=58 respectively.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides.
Let the unknown height be h.
For the ride High-Bounce, the height requirement is between 55 and 72 inches tall.
This can be written in the inequality form as 55<h<72.
For the ride Climb-A-Thon, the height requirement is under 60 inches tall.
This can be written in the inequality form as h<60.
For the ride Twirl-O-Coaster, the height requirement is 58 inches minimum.
This can be written in the inequality form as h>=58.
The representations of these inequalities on number lines is given below.
Therefore, the inequalities are - 55<h<7, h<60, h>=58.
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The following transactions occurred during July:
Received $1,300 cash for services performed during July.
Received $6,750 cash from the issuance of common stock to owners.
Received $650 from a customer as payment for services performed during June.
Billed $4,250 to customers for services performed on account in July.
Borrowed $3,000 from the bank and signed a promissory note.
Received $1,750 from a customer for services to be performed during August.
As a result of these transactions, what is the amount of the increase to the Cash account?
Multiple Choice
$9,200
$17,700
$13,450
$3,700
Answer:
13,450 YAN po yung answer ma'am #CARRY ON LEARNING
In the diagram below, KM=5 and MN=3
Answer: KL = KN LM=NO=9 Side-Side-Side
Step-by-step explanation:
The required answers to the question is given below.
What is congruence?Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.
How to solve it?Use the following figure to understand the answer.
The Proof is
1. KM=KO=5 (GIven)
2. MN=3 (Given)
3. KN=KM+MN=8 (because the lengths are equal to the sum of their parts.)
4. KL=8 (Given)
5. KL=KN (from 3,4 substitution)
6. NO=ML=9 (Given)
7. ΔKLM=ΔKNO the congruence criterion used is SSS congruence.
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The function f(x) is shown on the graph.
The graph shows a downward opening parabola with a vertex at 3 comma 25, a point at negative 2 comma 0, a point at 8 comma 0, a point at 0 comma 16, and a point at 6 comma 16.What is the standard form of the equation of f(x)?
a) f(x) = x2 − 6x + 16
b) f(x) = x2 + 6x + 16
c) f(x) = −x2 − 6x + 16
d) f(x) = −x2 + 6x + 16
The correct answer is d. The standard form of the equation of f(x) is −x2 + 6x + 16.
What is downward opening parabola?A downward opening parabola is a curve in the shape of a parabola that opens downward and is symmetrical about the x-axis. The equation of a downward opening parabola is y = ax^2 + bx + c, where a is a negative number, and b and c are constants.
The focus of a downward opening parabola is the point on the parabola where the curvature is greatest and is located at the vertex of the parabola.
The directrix of a downward opening parabola is a line parallel to the x-axis and the distance from the focus to the directrix is equal to the length of the latus rectum of the parabola. The equation of the directrix is y = -a(x - h)^2 + k, where h and k are constants.
Downward opening parabolas can be used to graphically represent any type of data that follows a parabolic shape. This includes physical phenomena such as the path of a projectile or the vibration of a string.
Downward opening parabolas can also be used to model economic or financial data, such as the demand for a product or the price of a commodity. They may also be used to describe relationships between two variables in a mathematical equation.
The standard form of a parabola equation is f(x) = ax2 + bx + c, where a, b, and c are real numbers. In this case, the vertex of the parabola is at (3, 25), so the equation is in the form f(x) = a(x - 3)2 + 25. Putting in the other points on the graph to solve for a, b, and c yields the equation f(x) = -x2 + 6x + 16.
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At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed was 100 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph. If nothing is known about the shape of the distribution, what percentage of the player's serve speeds are less than 70 mph?
Answer:
2.275%
Step-by-step explanation:
We solve this question using z score formula
z = (x-μ)/σ,
where
x is the raw score = 70 mph
μ is the population mean = 100 mph
σ is the population standard deviation = 15 mph
z score = 70 - 100/15
z score = -30/15
z score = - 2
Determining the Probability value from Z-Table:
P(x ≤ 70) = P(x < 70)
= P(z = -2)
= 0.02275
Hence the probability of the player's serve that are less than 70 mph is 0.02275
Converting it to percentage
= 0.02275 × 100
= 2.275%
Therefore, the percentage of the player's serve speeds that are less than 70 mph is = 2.275%
write the 5th and 8th terms of an AP whose 10th term is 43 and common difference is 4.
Answer:
t5=23 t8=35
Step-by-step explanation:
t5=?
t8=?
t10=43
d=4
tn=a+(n-1)d
t10=a+(10-1)4
43= a+(9)4
43=a+ 36
a=7
t5=7+(4)4
t5=7+16
t5=23
t8=7+(7)4
t8=7+28
t8=35
Josh is at a park. He knows that the distance from the picnic table to a tree is 124 feet. Josh also knows the angle formed by a segment from his location to the picnic table and a segment from his position to the tree is 54 degrees and that triangle formed by his position, the picnic table, and the tree is a right triangle, with a right angle at the picnic table. Does josh have enough to find how far he is from the picnic table.
Answer:
Yes, Josh has enough information to find how far he is from the picnic table. Josh is 90.1 ft from the picnic table (to the nearest tenth).
Step-by-step explanation:
Yes, Josh has enough information to find how far he is from the picnic table.
From the given information, we can model this as a right triangle where the angle is 54°, the side opposite the angle is the distance between the picnic table and the tree, and the side adjacent the angle is the distance between Josh and the picnic table. (See attached diagram).
To calculate the distance between Josh and the picnic table (labelled "x" on the attached diagram), use the tangent trigonometric ratio.
\(\boxed{\begin{minipage}{6 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\end{minipage}}\)
Substitute the values into the tan ratio:
\(\implies \tan 54^{\circ}=\dfrac{124}{x}\)
\(\implies x=\dfrac{124}{\tan 54^{\circ}}\)
\(\implies x=90.09127...\)
\(\implies x=90.1\; \sf ft\;(nearest\;tenth)\)
Therefore, Josh is 90.1 ft from the picnic table (to the nearest tenth).
HELP ME!!!!
ZEARN!!!!!!!!!
A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.
Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.
Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.
Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of
To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).
First, let's convert the fractions 1/5 and 2/3 to fifteenths:
\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)
\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)
Now we can rewrite the expression using the common denominator:
\(3 + \frac{3}{15}+\frac{10}{15}\)
Write an expression to represent the
total area as the sum of the areas of
each room.
11(7 + 4) =
? · 7+11.
?
11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of
each room.
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,
11 (7 + 4)
Using the property of multiplication over addition.
11 x 7 + 11 x 4
Thus,
11 x 7 + 11 x 4.
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1) Refer to the relation below to answer the following questions:
(a) What is the domain of the relation?
(b) What is the range of the relation?
{(-1,7),(0,5),(2,5),(5,6)}
a. {-1,0,2,5}
b. {7,5,5,6}
Can anyone help me that would be great
Answer:
0.343, 0.424, 0.443
Step-by-step explanation:
could anyone help me solve this?
Step-by-step explanation:
The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.
So here it is (2,7) exclusive then (7,10) exclusive.
A constant speed means a slope of 0. Here it is (3,6).
c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis
So we would get
Above is the function, don't worry bout the math part.
D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it
We must use the original graph because acceleration is a vector meaning it can be negative.
We would get
the second graph is acceleration vs time
Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by
y=x4 and y=125x
The volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x⁴ and y=125x is 138438\(\pi\).
Let,
f(x) = 125x
g(x) = x⁴
Intersection points will be,
x⁴ = 125x
x = 0 , 3.3437
Volume V = \(\pi\)\(\int\limits^{3.34}_0{(125x)^{2} - x^8 } \, dx\)
=\(\pi\)\(\int\limits^{3.34}_0 {15625x^2-x^8} \, dx\)
=\(\pi\)[15625x³/3 - x⁹/9]₀³
=\(\pi\)[140625 - 2187]
= 138438\(\pi\)
The volume of the solid formed by rotating the region inside the first quadrant enclosed by two curves can be found using the method of cylindrical shells. This method involves cutting the solid into thin cylindrical shells and finding the volume of each shell. The sum of the volumes of the shells is equal to the volume of the solid.
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Alijah had a taxable income of $8450 and filed his federal income tax return with the Single filing status. Using the table below, find the amount he has to pay in taxes.
Single
Taxable income is over
8.350
33 950
82.750
171.550
372,950
But nat over
8,350
33.950
82,250
171.550
372.550
The tax is
Plus
50.00
835.00
4 675.00
16.750.00
41,754.00
108,216.00
10%
15%
25%
20%
33%
35%
Of the
amount over
50
8.350
33.950
82,250
171.550
372,850
O A. $835.00
• B. $850.00
O c. $2087.50
O D. $1252.50
Answer:
Step-by-step explanation:
67
Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.
Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.
This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.
He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.
Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.
Thus, looking at the provided options, option B ($850.00) would be the correct answer.
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After graduating from college, Trevor gets a job at a software company with a starting salary of 50,000 dollars and is given a 10% raise every year. After 10 years, what will his total earnings have been at the company? (Round to the nearest dollar)
Answer:
796871
Step-by-step explanation:
Based on the given conditions, formulate:
5000 x (1 - (1 + 10%) 10)
-------------------------------
1 - (1 + 10%)
Evaluate the equation/expression:
796871.23005
Find the closest integer to
798871.23005
= 796871
PLEASE HELP FAST!!!! IT IS URGENT!!!!!!
A teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0. 30. The students feel the proportion of blue beads is lower than 0. 30. A student randomly selects 60 beads and finds that 12 of the beads are blue. The P-value for the test of the hypotheses, H0:p=0. 30 and Ha:p<0. 30, is 0. 45. What is the correct interpretation of this value?
There is a 4. 5% chance the proportion of blue beads in the container is 0. 3.
Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the null hypothesis is true.
Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone.
Assuming the true proportion of blue beads in the container is less than 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone
Answer:
The correct interpretation of the value 0.45 is that there is a 4.5% chance that the true proportion of blue beads in the container is 0.30.
This means that there is a 4.5% probability that the sample proportion of blue beads would be 0.20 or less by chance alone. This means that there is not enough evidence to reject the null hypothesis (H0: p=0.30) and suggest that the true proportion of blue beads in the container is less than 0.30.
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when he shoots a free throw he makes a basket 20% of the time Jai shoots 120 free throws in Use benchmarkercents of 1% and 10% to help you determine the answer
Benchmark percentage of 1% = 9.6 & 10% = 24.
What is Free Throw Percentage?
Free throw percentage (FT%) puts a player’s successful free throws in perspective to their total attempts.
In basketball, a free throw (or foul shot) is awarded to a player who has been fouled by the other team. The number of free throws depends on where on the court the player was while being fouled.
To find 1% of a number, we can move the decimal point of the number two places to the left.
Therefore, 1% of 120 is 1.2
To find 10% of a number, we can move the decimal point of the number one place to the left.
Therefore, 10% of 120 is 12
Since 10% of 120 is 12 and
20% = 2 x 10%
then 20% of 120 = 2 x 10% of 120
= 2 x 12 = 24
Since 1% of 120 is 1.2 and
8% = 8 x 1%
then 8% of 120 = 8 x 1% of 120
= 8 x 1.2 = 9.6
Hence the answer is, Benchmark percentage of 1% = 9.6 & 10% = 24.
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A line passes through the point (8,6) and has a slope of - 3. Write the equation of the line in point-slope form,
4
necesito ayuda con estas operaciones
3x=12
3x= -5=0
x+4=17
9y+3=21
5(x-2)=20
x÷2=4
2x÷=4
5÷x=2
4x+5=3x-6
3(x-2) =0
x÷3-4=0
5(7-x) =31-x
3(2x-2) =2(3x+9)
The expressions are illustrated below.
How to compute the expression?3x = 12
x = 12/3
x = 4
x + 4 = 17
x = 17 - 4
x = 13
9y + 3 = 21
9y = 21 - 3
9y = 18
y = 18/9
y = 2
x ÷ 2 = 4
x = 4 × 2
x = 8
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12 men and 10 women are asked about how long it takes them to get ready in the morning. The men had an average of 20 minutes with a standard deviation of 5 minutes while the women had an average of 28 minutes with a standard deviation of 10 minutes. Suppose you want to test the stereotype that women take longer getting ready than mean with alpha = 0.05.
Q1 What is the alternative hypothesis in this scenario? (Men are sample 1 and women are sample 2)
Mu1 < Mu2
Mu2 ? Mu2
Mu1 > Mu2
Q2 What is the test statistic?
a. -1.093
b. 0.532
c. -2.438
Q3 What is the critical value(s)?
a. 1.96
b. -1.645
c. -1.725
Answer:
Step-by-step explanation:
as much as I think I know this I don't I just need the points