Answer:
8 parties
Step-by-step explanation:
First, find how much of her paycheck was from working 30 hours:
7.50(30)
= 225
Then, subtract this from 265, to find how much money was from bonuses:
265 - 225
= 40
To find how many parties she scheduled, divide 40 by 5, since each party she schedules gives her a $5 bonus:
40/5
= 8
So, she scheduled 8 parties
Find the measure of each angle in the isosceles trapezoid.
m∠Q=
º
m∠T=
º
m∠R=
º
Given that an isosceles trapezoid m∠TQP has an angle measures as m∠Q, m∠T, and m∠R respectively.To find the measure of each angle in the isosceles trapezoid, let us consider the following steps:
Let PQ be the top base, TR be the bottom base, and QS be the legs of the isosceles trapezoid m∠TQP.m∠Q and m∠T are the opposite angles of the parallel sides, so they are equal.m∠R and m∠P are also equal because they are the opposite angles of the crossing lines QS and PQ.The sum of the measures of the angles of a quadrilateral is 360º. Therefore, we can use this information to find the value of m∠Q.m∠Q + m∠P + m∠T + m∠R = 360ºWe know that m∠T = m∠Q, and m∠R = m∠PSo,m∠Q + m∠P + m∠Q + m∠P = 360ºSimplifying this we get:
2(m∠Q + m∠P) = 360ºm∠Q + m∠P = 180ºLet's say that the measure of each of the two equal angles is xº. Thus, m∠Q = xº m∠P = xº Substitute these values to the equation obtained earlier:2(xº + xº) = 360º2(2xº) = 360º4xº = 360ºxº = 90ºSo,m∠Q = xº = 90ºm∠T = xº = 90ºm∠R = m∠P = xº = 90ºThe measure of each angle in the isosceles trapezoid are as follows: m∠Q = 90ºm∠T = 90ºm∠R = 90ºTherefore, the answer is: m∠Q = 90ºm∠T = 90ºm∠R = 90º
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solve for angle..........
Answer:
57
Step-by-step explanation:
An angle formed by a tangent and secant is equal to half the difference of its intercepted arcs. ( major arc minus minor arc to be more specific. )
∠B is the angle formed by a tangent and secant
Arc CA is its intercepted arc ( minor arc to be more specific )
Arc DA is also its intercepted arc ( major arc to be more specific )
Hence, ∠B = \(\frac{1}{2}\) ( Arc DA - Arc CA )
If arc CA = 51 and Arc DA = 165
Then ∠B =
\(\frac{1}{2} (165-51)\\165 - 51=114\\\frac{1}{2} (114)=57\)
Hence, ∠B = 57
Pls help no links pls this is due and i need help
Answer:
angle 1=127 degree
angle 3=127 degree
angle 2=53 degree
angle 4=53 degree
angle 5=37 degree
angle 6=90 degree
angle 7=53 degree
angle 8=37 degree
angle 9=37 degree
angle 10=143 degree
angle 11=37 degree
angle 12=143 degree
Step-by-step explanation:
the model used to represent continuous fields in gis is the , which represents data in a set of . a. vector data model; polygons b. raster data model; grid cells c. infinity model; coordinates d. trilateration model; time zones
The model used to represent continuous fields in GIS is raster data model; grid cells.
What is GIS?A system called a geographic information system (GIS) is one that collects, organizes, processes, and maps all kinds of data.
GIS connects data to a map and combines all kinds of descriptive data with location data. This offers a basis for mapping and analysis, which are applied in science and practically every sector of the economy.
GIS aids users in comprehending trends, connections, and geographic context.
The model used to represent continuous fields in GIS is raster data model; grid cells.
Option (b)
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Test Yourself
The divisibility by a prime theorem says that every integer greater than 1 is ________________________________.
The divisibility by a prime theorem states that every integer greater than 1 is either itself a prime number or can be expressed as a product of prime numbers.
In other words, every integer greater than 1 can be factored into a unique product of primes. This is a fundamental result in number theory, and is often used to prove other theorems and results.
The proof of this theorem relies on the fact that any integer greater than 1 can be factored into a product of prime factors. We can then use mathematical induction to show that any integer greater than 1 can be expressed as a product of primes.
The base case is that 2 is a prime number, and the induction step relies on the assumption that any integer less than n can be expressed as a product of primes.
This theorem has many important applications, such as in determining the prime factorization of an integer, finding the greatest common divisor of two integers, and solving Diophantine equations. It is also used in cryptography, where it is essential to factor large numbers into their prime factors in order to break certain encryption algorithms.
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What number makes the expressions equivalent? Enter your answer in the box. 12 (â€""1. 4m 0. 4) = m 0. 2.
The value of "m' that makes the expression equivalent is 0.2584
Given the expression 12 (–1.4m + 0.4) = m + 0.2
We need to solve for the value of m from the expression.
12 (–1.4m + 0.4) = m + 0.2Expand using the distributive law:
12(-1.4m) + 12(0.4) = m + 0.2
16.8m + 4.8 = m + 0.2
Collect the like terms:
-16.8m - m = 0.2 - 4.8
-17.8m = -4.6
m = 4.6/17.8
m = 0.2584
Hence the value of "m' that makes the expression equivalent is 0.2584
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(951² - 159²)÷(7539²-357²) x (258²-852²)
Answer:
(879,120)÷(56709072) ×(-659340)=-10221.274
Step-by-step explanation:
we use bedmas rules when it comes to long solving questions.
X= -5 y=2 work out the VALUE if 3x + 4y
Answer:
I think the answer is -7
because : 3(-5) + 4(2)
-15 + 8
= -7
Can someone help with this question? Thank u! :)
Answer:
2.50
Step-by-step explanation:
the pattern shown in the miles driven goes up each time by 5000, stating it's going up by a constant of 5000. the cost goes up each time by 2000.
divide 5000/2000 which would give you 2.5
round it by two decimal places which gives you 2.50
One class contain 5 girls and 10 boys and a second class contain 13 boys and 12 girls. If a student is randomly picked from the second class and transferred to the first one. After that a student is randomly chosen from the first class. What is the probability that this student is a boy?
To solve this question, we need to consider the two steps: transferring a student from the second class to the first class, and then randomly choosing a student from the first class.
Let's calculate the probabilities step by step:
Step 1: Transferring a student from the second class to the first class
The probability of transferring a boy from the second class is the ratio of the number of boys in the second class (13 boys) to the total number of students in the second class (13 boys + 12 girls).
P(boy transferred) = 13 / (13 + 12) = 13 / 25
Step 2: Randomly choosing a student from the first class
After the transfer, the first class will have 10 boys and 11 girls. The probability of randomly choosing a boy from the first class is the ratio of the number of boys in the first class (10 boys) to the total number of students in the first class (10 boys + 11 girls).
P(boy chosen from first class) = 10 / (10 + 11) = 10 / 21
Now, to find the overall probability, we multiply the probabilities of the two steps:
P(boy chosen) = P(boy transferred) * P(boy chosen from first class) = (13/25) * (10/21)
Therefore, the probability that the student chosen from the first class is a boy is (13/25) * (10/21), which can be simplified or approximated as needed.
LaTeX code snippet for the answer:
The probability that the student chosen from the first class is a boy is
\($\left(\frac{13}{25}\right) \times \left(\frac{10}{21}\right)$.\)
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- A rectangle has a length of 3 inches and an area of 61 square
inches. Write an equation that represents the area of the rectangle in
terms of its length and width, w.
15
Answer:
ok so the your length is 3 and your w is 15 your h is *drumroll* 1 WOOOO your welcome
Step-by-step explanation:
A car is traveling down a highway at a constant speed, described by the equation d=65t , where d represents the distance, in miles, that the car travels at this speed in t, hours. How many miles does the car travel in 1.5 hours?
Answer: 97.5m
Step-by-step explanation:
The word “element” is defined as
The word “element” is defined as the items in a set
Defining the word “element”From the question, we have the following parameters that can be used in our computation:
The word “element”
By definition, the word “element” is defined as the items in a set
Take for instance, we have
A = {1, 2, 3}
The set is set A and the elements are 1, 2 and 3
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Buck takes out a $235,000 mortgage at 4.3%. He plans to make monthly payments of $1,136 over the course of 30 years. What is the loan’s APR?
APR=2nfP(N+1
4.3%
4.9%
5.7%
7.9%
The loan's APR is 246.7%. Buck takes out a $235,000 mortgage at 4.3%. He plans to make monthly payments of $1,136 over the course of 30 years.
Define APR.The interest charged for borrowing that reflects the real yearly cost of the loan stated as a percentage is called the annual percentage rate (APR). the annual percentage cost of borrowing, which takes into account interest and other costs. Example. An APR of 9% is calculated using a $1000 loan with an annual interest rate of $80 and a service charge of $10.
Given,
Without a doubt, given that
Buck borrowed $235,000 in all.
$1136 in monthly payments
Loan term:
30 years
30 × 12
360 months
Buck's repayment amount equals monthly payments length of the loan
= 360 x 1136
= $408960
APR
= Amount paid back by buck - Amount borrowed by buck/Amt borrowed × Duration
= 408960 - 235000/235000 × 30
= 2.467 × 100
= 246.7%
The loan's APR is 246.7%. Buck takes out a $235,000 mortgage at 4.3%. He plans to make monthly payments of $1,136 over the course of 30 years.
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Answer:
4.3%
Step-by-step explanation:
correct on odyssey
Decide which of the following statements are TRUE based on the given triangle below. Assume the figure is drawn to scale such that angle A is greater than angle B.
The Options A and B given are correct. Based on trigonometric identities,
A) (cos A)(tan A) = sin A is correct.
B) tan B = \(\dfrac{sinB}{cosB}\) is correct,
C) cos A = sin(90° - B) is incorrect.
Trigonometry is a mathematical concept that is responsible for the dealings of the relationships between the angles and sides of triangles.
In the given triangle ABC, ∠A is greater than ∠B.
A) Given that
(cos A)(tan A) = (cos A)(\(\dfrac{sinA}{cosA}\))
= sin A.
B) In the triangle ABC,
tan B = \(\dfrac{AC}{BC}\)
By dividing the numerator and denominator by AB,
tan B = \(\dfrac{\frac{AC}{AB} }{\frac{BC}{AB} }\),
tan B = \(\dfrac{sinB}{cosB}\).
C) cos A = sin(90° - A) which is not as same as the equation in option C.
Thus, it is proven that options A and B are TRUE.
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The complete question is as follows:
Decide which of the following statements are TRUE based on the given triangle below. Assume the figure is drawn to scale such that angle A is greater than angle B.
A) (cos A)(tan A) = sin A,
B) tan B = \(\dfrac{sinB}{cosB}\),
C) cos A = sin(90° - B).
Ishaq purchased a pair of Jordan's for $95 and he is selling them to his classmates Angel or Jayden. Ishaq wants to make a 20% profit off of the shoes. What would be the new price of the shoes if he increase the price by 20%?
The Selling Price of the Jordans will be is $114.
Ishaq purchased a pair of Jordans for $95 and he is selling them to his classmates Angel or Jayden.
Ishaq wants to make a 20% profit off of the shoes. What would be the new price of the shoes if he increases the price by 20%? The original price of the Jordans purchased by Ishaq is $95.
Ishaq wants to make a profit of 20% on the shoes he is selling to Angel or Jayden.
20% of $95 is
=> (20/100)*$95
=> $19.
Therefore, Ishaq's profit will be $19.
So, the selling price of the Jordans will be
$95 + $19 = $114.
This is the amount Ishaq will sell the shoes to his classmates Angel or Jayden. Therefore, the new price of the shoes is $114 when he increases the price by 20%.
Formula to calculate the profit on a product Profit on a product = (Profit Margin/100) * Cost Price
Selling Price = Cost Price + Profit on a Product.
Therefore, the Selling Price of the Jordans will be:
$95 + [(20/100) * $95]
=> $95 + $19
=> $114.
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Find the next two numbers in the number pattern.
2,6, 4, 12, 10,
Answer:
your answer will be 30 and 28
Step-by-step explanation:
example: rewrite the equation and solve 2 x ? = 6
1) 2x2 = 4
2) 4 x 2 = 8
3) 8- 2 = 6
so meaning to say that 2x2 = 4 x 2 = 8 - 2 equals 6
hint: ( every number is 3 times before the next number)
so all you do is 2 x 3 = 6, 4 x 3 = 12, 3 x 4 = 12, 5 x 2 = 10, 6 x 5 = 30, 7 x 4 = 28. so your next numbers will be 28 and 30.
(hope this helped)
What is time managment? Question 1 options: The ability to use your time productively and efficiently. The art of having time to do everything that you need. The process of planning and controlling how much time to spend on specific activities.
The process of planning and controlling how much time to spend on specific activities.
What is time managment?Time management is the process of planning and controlling how much time to spend on specific activities in order to use your time productively and efficiently.
It involves setting goals, prioritizing tasks, creating schedules and to-do lists, and monitoring progress to ensure that time is used effectively.
Effective time management can help individuals to complete tasks and achieve their goals in a timely manner, reduce stress, and increase productivity.
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Please help!
You roll a 6-sided die two times.
What is the probability of rolling a number less than 4 and then rolling an odd number?
Write your answer as a percentage.
Answer:
(25%)
Step-by-step explanation:
12√4=3√1=3=25%
PLEASE HELP!
Find the value of x. IMAGE BELOW
a) 20.485
b) 35.631
c) 86.113
Answer:
c
Step-by-step explanation:
Please see the attached picture for full solution.
The field was 5⁄6 of an acre and 1⁄3 of the field was planted in strawberries. How many acres are planted in strawberries?
Answer:
7/6 or 1 1/6
Step-by-step explanation:
Here's how you add them!
5 /6 + 2/6
Step 1
Since our denominators match, we can add the numerators.
5 + 2 = 7
Answer:
7 /6
Step 2
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
No good. 7 is larger than 6. So we're done reducing.
Congratulations! Here's your final answer to 5/6 + 2/6
Answer:
\(\frac{5}{18}\)
Step-by-step explanation:
To calculate the amount of acres planted in strawberries, all you need to do is simple multiplication.
\(\frac{5}{6}\) × \(\frac{1}{3}\)
multiply the numerators by each other
\(5\) × \(1\) \(= 5\)
the numerator of the new fraction is 5
multiply the denominators by each other
\(6\) × \(3=18\)
the new denominator is 18
the new fraction is \(\frac{5}{18}\)
a study is designed to test the effect of light level on exam performance of students. the researcher believes that light levels might have different effects on men and women, so wants to make sure both are equally represented in each treatment. the treatments are fluorescent overhead lighting, yellow overhead lighting, no overhead lighting (only desk lamps). what is the response variable?
The response variable in this study is the exam performance of the students.
The response variable is the main outcome measure of interest in a study. In this case, the researcher is interested in testing the effect of light level on the exam performance of students, which is the response variable. The researcher is also concerned about the potential differences in the effect of light levels between men and women, so wants to ensure that both groups are equally represented in each treatment.
By measuring the exam performance of the students under different lighting conditions, the researcher can determine whether light levels have a significant impact on exam performance and whether this effect differs between men and women.
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A team gets
3 points for each match it wins
1 point for each match it draws
and 0 points for each match it loses
Jill's team has played 40 matches.
Jill's team has drawn 16 matches.
Jill's team has got a total of 55 points.
How many matches has Jill's team lost?
Answer:
Jill's team lost 11 matches.
Step-by-step explanation:
Jill's team drawn matches = 16
Points earned for the matches drawn = 16
Total points earned = 55
Therefore, points earned by winning the matches = 55 - 16 = 39
Total matches won by Jill's team = \(\frac{\text{Points earned by winning the matches}}{\text{Points earned by winning one match}}\)
= \(\frac{39}{3}\)
= 13
Total matches won + matches drawn = 16 + 13 = 29
Matches lost by the team = 40 - 29 = 11
Therefore, Jill's team lost 11 matches.
if , (4x + 3y) : (3x + 4y) = 24 : 25 , find the value of x : y .
don't give unwanted ans to get the points,
well explained ans needed
pls no plagiarism , links and spams
thx for answering :)
We have ( 4x + 3y ) : ( 3x + 4y ) = 24 : 25
\(\\ \sf\longmapsto \: \frac{4x + 3y}{3x + 4y} = \frac{24}{25} \)
\(\\ \sf\longmapsto \: 25(4x + 3y) = 24(3x + 4y)\)
\(\\ \sf\longmapsto \: 100x + 75y = 72x + 96y\)
\(\\ \sf\longmapsto \: 100x - 72x = 96y - 75y\)
\(\\ \sf\longmapsto \: 28x = 21y\)
\(\\ \sf\longmapsto \: \frac{x}{y} = \frac{21}{28} = \frac{3}{4} \)
Hence ,
x : y = 3 : 4\(\\ \sf\longmapsto \dfrac{4x+3y}{3x+4y}=\dfrac{24}{25}\)
Use cross multiplication\(\\ \sf\longmapsto 24(3x+4y)=25(4x+3y)\)
\(\\ \sf\longmapsto 72x+96y=100x+75y\)
\(\\ \sf\longmapsto 96y-75y=100x-72x\)
\(\\ \sf\longmapsto 21y=28x\)
\(\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{21}{28}\)
Cut 7\(\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{3}{4}\)
\(\\ \sf\longmapsto x:y=3:4\)
A student makes $5000 worth of purchases with a credit card. The nominal interest rate on the credit card is 15.3% compounded monthly. What is the monthly payment required to pay this debt off in 6 years? Calculate the payment to the nearest dollar.
The monthly payment required to pay off the credit card debt of $5000 in 6 years is $97.38 rounded to the nearest dollar is $97. The correct option is (B) $97.
Given: Nominal interest rate = 15.3%
Compounded monthly - Purchase amount = $5000
Time = 6 years = 6 x 12 = 72 months
To calculate: Monthly payment required to pay this debt off
Using the formula to calculate the monthly payment required to pay off the credit card debt,
PV = Payment[({1 + r/100}/ (1 + r/100)^n) - 1] / (r/100)
where, PV = Present value of the credit card debt
Payment = Monthly payment required to pay off the credit card debt
r = Nominal rate of interest per annum
n = Number of compounding periods per annum X Number of years i.e., n = 12 X 6 = 72 months
Substituting the values, we get:
5000 = Payment[({1 + 15.3/100}/ (1 + 15.3/100)^72) - 1] / (15.3/100)
⇒ Payment = 97.38
Thus, the monthly payment required to pay off the credit card debt of $5000 in 6 years is $97.38 rounded to the nearest dollar is $97. The correct option is (B) $97.
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FILL IN THE BLANK. 1. the steps of the analytical problem-solving model include: identifying the problem,___, selecting alternatives, implementing a solution, and evaluating the situation.
The steps of the analytical problem-solving model include: identifying the problem, exploring alternatives, building an implementation plan, implementing a solution, and evaluating the situation.
What is analytical problem solving ?Analytical problem solving, as we've defined it above, refers to the approaches and methods you use rather than the particular issue you're trying to resolve.
Analytical issue solving is a crucial prerequisite for problem resolution; the problem itself does not determine whether you need it.
Analytical problem solving involves recognising a problem, investigating it, and then creating ideas (such as causes and solutions) around it.
Solving analytical problems calls for inquiry, examination, and analysis that encourages additional study of the subject (including causality, symptoms, and solution).
According to the steps involved in analytical problem solving model:
The ability to examine a situation, The ability to research and focus on key aspects,The ability to analyze the facts and data around the situationThe ability to prioritize and identify critical aspectsThe ability to build an argument to define a problem The ability to investigate and propose root cause(s), while also highlighting the strengths and weaknesses of this argument.To learn more about analytical model, visit:
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Which solution set is graphed on the number line?-4-3-2_10123+4x 51ООX51
Explanation:
In this number line the solution set that's graphed is all numbers less than 1. It doesn't include 1 because that point is graphed with an empty circle.
Answer:
x < 1
pls help asap if you can!!!!
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
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Paint comes in 5 liter cans. The principal needs 43 liters of paint to repaint the school. How many cans must he buy?
Answer:
he needs 9 cans
Step-by-step explanation:
first,
43L/5L
= 8.6 cans
8.6 cans is not logical therefore u need to round up to 9 cans
my question is in the image
Answer:
13.2 miles
Step-by-step explanation:
To solve this, we will need to first solve for the base of the triangle and then use the information we find to solve for the shortest route.
(5.5 + 3.5)² + b² = 15²
9² + b² = 15²
81 + b² = 225
b² = 144
b = 12
Now that we know that the base is 12 miles, we can use that and the 5.5 miles in between Adamsburg and Chenoa to find the shortest route (hypotenuse).
5.5² + 12² = c²
30.25 + 144 = c²
174.25 = c²
13.2 ≈ c
Therefore, the shortest route from Chenoa to Robertsville is about 13.2 miles.