joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.
What is the unit rate?A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.
Given, Joyce painted 8 window frames in 5 hours while earning money for college.
Her painting rate in window frames per hour is = 8 /5
Her painting rate in window frames per hour is = 1.6
Her painting rate in hours per window frame is = 5/8
Her painting rate in hours per window frame is = 0.625
therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.
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A particle moves along the x-axis so that at time
t
≥
0
t≥0 its position is given by
x
(
t
)
=
t
3
−
6
t
2
−
29.
x(t)=t
3
−6t
2
−29. Determine the total distance traveled by the particle from
0
≤
t
≤
7.
0≤t≤7.
The total distance traveled from 0 ≤ t ≤ 7, considering the position function x(t) = t³ - 6t² - 29, is given as follows:
288.75 units.
How to obtain the total distance traveled?The position function for this problem is defined as follows:
x(t) = t³ - 6t² - 29.
The total distance traveled over an interval [a,b] is given by the definite integral of the function x(t) over the interval from x = a to x = b.
The definite integral in this problem is calculated as follows:
I = 0.25t^4 - 2t³ - 29t, from t = 0 to t = 7.
Applying the Fundamental Theorem of Calculus, the total distance is calculated as follows:
I = 0.25(7)^4 - 2(7)³ - 29(7) - (0.25(0)^4 - 2(0)³ - 29(0))
I = 288.75 units.
(which is the absolute value of the result of the definite integral).
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If 8n + 25 = 65, then n is
a. 5.
648.
less than
of 45 is
b. 10.
C. 40.
8n + 25 = 65
8n = 65 - 25
8n = 40
8n/ 8 =40/8
n = 5..
firstly I made 8n the subject of the formula by taking 25 to the other side which gives u 8n = 65 - 25and the reason why the sign changed chnged os because when send a number to the other side the sign changes and then i divided both sides by 8
What is the value of 2/21 - 1/3
1. -5/21
2. 1/18
3. 5/21
4. 3/7
Whoever helps gets 15 points
Can someone plz help me I would appreciate it, thanks?!
Answer:
Hey I’m a friend of Carson’s, do u know what Ari‘s acc name is?
Step-by-step explanation:
Answer:
hi thanks for the question
Step-by-step explanation:
someone help me pleaseee , whoever answers first i will mark as brainlyesy
Answer: the 1st one. can i get brainlist
Step-by-step explanation:
Answer:
Point form: (-6,15)
Equation Form: x = -6, y=15
Step-by-step explanation:
A hurricane blows onto the East Coast of the United States on September 16, 2017. The maximum sustained wind speed is 176 kilometers (109 miles) per hour and the sea level height is pushed 2.3 meters (7.5 feet) above normal. What category is this hurricane
This hurricane would be classified as a Category 2 hurricane on the Saffir-Simpson Hurricane Wind Scale.
What hurricane classification is this?This hurricane would be classified as a Category 3 hurricane. The Saffir-Simpson Hurricane Wind Scale is used to classify hurricanes based on their maximum sustained wind speeds.Category 3 hurricanes have wind speeds between 178 and 209 kilometers (111 and 130 miles) per hour.The maximum sustained wind speed of this hurricane is 176 kilometers (109 miles) per hour, which is below the threshold for Category 4 hurricanes, but still within the range of Category 3 hurricanes. The storm surge is also a major factor in the classification of hurricanes. Storm surges are caused by the winds of a hurricane pushing the water of the ocean up onto the coast.This hurricane has a storm surge of 2.3 meters (7.5 feet).The Saffir-Simpson Hurricane Wind Scale does not take into account the height of storm surges. Therefore, this hurricane would be classified as a Category 3 hurricane due to its maximum sustained wind speed of 176 kilometers (109 miles) per hour and the storm surge of 2.3 meters (7.5 feet).The Saffir-Simpson Hurricane Wind Scale is a useful tool for measuring the severity of a hurricane and can help to prepare people in its path.To learn more about the Saffir-Simpson Hurricane Wind Scale refer to:
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Which of the following statements are true about line segments?
Which of the following statements are true about line segments
Answer: that connect two endpoints
A boat moving at a constant rate will travel 26 miles in 2 hours. If the boat maintains this rate, how many miles will the boat travel in 5 hours?
Given:
A boat moving at a constant rate will travel 26 miles in 2 hours.
To find:
The distance that will the boat travel in 5 hours.
Solution:
It is given that,
The distance traveled by the boat in 2 hours = 26 miles
The distance traveled by the boat in 1 hour = [tex]\dfrac{26}{2}[/tex] miles
= [tex]13[/tex] miles
The distance traveled by the boat in 5 hour = [tex]5\times 13[/tex] miles
= [tex]65[/tex] miles
Therefore, the boat will travel 65 miles in 5 hours.
Paul took a 140 mile trip on his motorcycle. If he drove 60% of his trip on the first day, how many miles did Paul drive on day one? Answer value
Answer:
84 miles
Step-by-step explanation: 140/100 x 60 which gives you 84 miles
The numerator of a fraction is 2 less than its denominator. If 3 is subtracted from the numerator and from the
denominator, the new fraction obtained is. Find the fraction.
A set of multimedia equipment costs $1900, By setting up an inequality, find the maximum number of sets of
The Fraction for the given word problem is x/y = 9/11
What is Fraction?A fraction, which derives from the Latin word fractus, meaning "broken," is a portion of a whole or, more broadly, any number of equal parts. A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in everyday speech.
Let the fraction be x/y
The numerator of a fraction is 2 minus its denomination.
⇒ x = y - 2 .....(i)
When 3 is subtracted from numerator and from denomination the new fraction obtained is 3/4
⇒ x - 3/y - 3 = 3/4
Can also be written as
⇒ 4(x + 3) = 3(y - 3)
⇒ 4x - 12 = 3y - 9
⇒ 4x - 3y = -9 + 12
⇒ 4x - 3y = 3 .....(ii)
Substitute the value of (i) in (ii)
⇒ 4x - 3y = 3
⇒ 4(y - 2) - 3y = 3
⇒ 4y - 8 - 3y = 3
⇒ y - 8 = 3
⇒ y = 3 + 8
⇒ y = 11
Putting the value of y in (i).
⇒ x = y - 2
⇒ x = 11 - 2
⇒ x = 9
Hence, Fraction = x/y = 9/11
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Please help ASAP will give 5 stars and brainliest if possible!!
answer
the dot will be shaded and the line goes to the positive part because x is more than or equal to 3
What are the worst and best time complexity and the best and worst time input given to sort a set of elements using bubble sort?
With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.
what is algorithm ?A mathematical algorithm is a process that describes a series of steps that can be used to accomplish a mathematical computation. A typical illustration of a mathematical algorithm would be the step-by-step process used in long division. Integral calculus and differential calculus are the two varieties of calculus. These fields work together to let you calculate rate of change, a crucial component of many algorithms and programs. Particularly crucial are differential equations.
given
With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.
The outer loop, in the worst case, executes O(n) times.
Therefore, bubble sort's worst-case time complexity is O(n x n) = O(n x n) (n2).
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In the diagram below, what is the value of x rounded to the nearest whole number? If necessary, round your answer to the nearest tenth of a unit. 17 с х D 10 24 O A. 24 O B. 17 O O C. 7 O D. 12
Answer:
12
Step-by-step explanation:
There is no specific work, but this is assuming that the triangles are cut in the middle equally, and 24/2 = 12
Given the circle below with chords NO and PQ. Find the length of OR. Round to the nearest tenth if necessary.
Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.
Circle – what is it?A moving point on a plane is followed so that its distance from a specific point remains constant to produce the circular form known as a circle. The English term circle derives from the Greek word kirkos, which meaning hoop or ring. Area of circle= πr²
Here,
For each secant, the sum of the lengths from R to the circle's intersection points is the same:
=>RS*RT = RQ*RP
=>40(40 +31) = (44)(PQ +44)
=>40(71)/44 = PQ +44
=>PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11
=>PQ ≈ 20.5
Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.
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please help me with math!! :(
Answer:
addition property of equality
Step-by-step explanation:
Someone help me pleaseeee
Answer:
1/5
Step-by-step explanation:
formula is y = kx
k is the constant of proportionality
when x is 5 y is 1
when x is 10 y is 2
so 1 = k * 5
so k = 1/5
Roxanne is comparing the monthly payments for a new car at two different car dealerships.
Dealership A: The car costs $30,000, and the loan has an annual interest rate of 4.8%.
Dealership B: The car costs $29,800, and the loan has an annual interest rate of 5.4%.
Use the formula to determine the monthly payment for each dealership.
Assume that both interest rates are compounded monthly, there is no down payment, and each loan is for 60 months.
9514 1404 393
Answer:
A: $563.39
B: $567.84
Step-by-step explanation:
The attached shows the formula. The graphing calculator evaluates it for the different car choices.
The monthly payment for the car from Dealership A is $563.39.
The monthly payment for the car from Dealership B is $567.84.
Find the lengths of the diagonals of rectangle WXYZ
WY = 14x + 10
XZ = 11x + 22
The length of each diagonal is
units.
A rectangle is a four-sided geometric shape where opposite sides are parallel and congruent. The diagonals of a rectangle are two lines that connect the opposite corners of the rectangle, and they bisect each other at 90 degrees.
Briefly defined, what is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Given the sides of rectangle WXYZ are WY = 14x + 10 and XZ = 11x + 22. We can find the length of the diagonals using the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the diagonal of the rectangle) is equal to the sum of the squares of the other two sides (the sides of rectangle)
Diagonal WX: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)
Diagonal YZ: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)
So, the lengths of the diagonals of rectangle WXYZ are √(317x^2 + 940x + 584) units.
Note that the diagonals of a rectangle are congruent and the value of x is not a known, the diagonal of rectangle is the value of the square root of the expression.
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Answer: 66
Step-by-step explanation:
I skipped it to see the answer hope this helps
Quadrilateral ABCD below is reflected about line m. After the reflection, how is the perimeter of A'B'C'D' related to the perimeter of ABCD?
Quadrilateral ABCD below is rotated 180°. After the rotation, how is the area of A'B'C'D' related to the area of ABCD?
Reflection and rotation will not alter the perimeter of the quadrilateral
What is transformation?
Transformation is a term used in mathematics to refer to the movements made by objects.
Transformations has basically classifications
non rigid transformationRigid transformationNon rigid transformation are the transformation where the dimension or size of the object will be different going from preimage to the image, example is dilation
In rigid transformation, the dimensions of the object is maintained or not altered through out the transformation process. instance of rigid transformations are
rotationreflectiontranslationBecause the transformation used are all rigid transformations then all the sides will remain same and the perimeter conserved
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When Souta went to Sweden, 1 Swedish krona was worth about 0. 12 US
dollar. He took d dollars on the trip. Which equation could be used to find
the value in Swedish krona, k, of the dollars?
A
k = 0. 12d
B
d
k=
0. 12
с
0. 12
k=
d
D k= 1. 12d
If 1 Swedish krona was worth 0.12 US dollar , and if he took d dollars for the trip then the equation that is used to find the value in Swedish krona (k) of the dollars is option (a) [tex]k = 0.12\times d[/tex] .
The value of 1 Swedish krona is = 0.12 US dollar ,
the number of dollar that Souta took on the trip is = d dollars ;
we have to find the equation that can be used to find the equation in Swedish krona "k" of the dollars ,
According to the question ,
the equation for Swedish krona can be represented as [tex]k = 0.12\times d[/tex] ;
Therefore , the required equation is [tex]k = 0.12\times d[/tex] .
The given question is incomplete , the complete question is
When Souta went to Sweden, 1 Swedish krona was worth about 0.12 US dollar. He took d dollars on the trip. Which equation could be used to find the value in Swedish krona, k, of the dollars ?
(a) k = 0.12d
(b) dk = 0.12
(с) 0.12k = d
(d) k = 1.12d
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NEED HELPP QUICK NO LINKS PLEASE!!
Answer:
May be only relation 3 is the function.
A new social media site is increasing its user base by approximately 5% per month. If the site currently has 27,870 users, what will be the approximate user base be 6 months from now?
Answer:
37,349
Step-by-step explanation:
month 1
27870 x .05 = 1394
27870 + 1394 = 29264
month 2
29264 x .05 = 1463
29264 + 1463 = 30727
month 3
30727 × .05 = 1536
30727 + 1536 = 32263
month 4
32263 x .05 = 1613
32263 + 1613 = 33876
month 5
33876 x .05 = 1694
33876 + 1694 = 35570
month 6
35570 x .05 = 1779
35570 + 1779 = 37349
Answer:
35,570
Step-by-step explanation:
solution 1 - Multiply by 5%, 6 times. Easter to calculate without a calculator, long process.
1. 27870*1.05= 29,263.5
2. 29263.5*1.05=30726.675
3.repeat
4.repeat
5.repeat
6.repeat
if it's hard for you to multiply by 1.05, you can always divide by 20 or divide by 10 then by 2 (like the below)
1. 27870÷10= 2,787
2. 2787÷2= 1393.5
3. 27870+1393.5 = 29263.5
solution 2 -Fast but probably needs a calculator
1. 27870*1.05^(5)= 35570
1.05 = monthly increase
power of 5 = ^(5) = 6 months - 1 = 5
On the cone below, the length of Line C B is 6 inches. A cone. C D is the diameter, C B is the radius, and A B is the height. What is the length of the diameter of the cone? 3 inches 6 inches 12 inches 24 inches
Answer:
12 inchesStep-by-step explanation:
Find the diagram attached;
Given the length of the line CD as 6inches.
Note that line CD is the base radius of the cone;
Since radius = Diameter/2
CD = diameter/2
6 = diameter/2
Diameter = 6 * 2
Diameter = 12 inches
Hence the length of the diameter of the cone is 12 inches
Answer:
12
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 x 12 x 20 = 1920/2 = 960 cm^2
hope this helped
answer= 960
Step-by-step explanation:
a group of five people can do a piece of work in 6 hours calculate the time a group of 8 people will take to complete the same work
Answer:
3.75 hours
Step-by-step explanation:
Total time needed
5 * 6 = 30 hours
with 8 people
30/8 = 3.75 hours
one more than 4 times a number is 14
Answer:
13 / 4 ( or ) 3.25
Step-by-step explanation:
Let the number be x.
4 times a number means,
4 ( x ) = 4x
One more than 4 times a number means,
4x + 1
One more than 4 times a number is 14,
4x + 1 = 14
4x = 14 - 1
4x = 13
x = 13 / 4
( or )
x = 3.25
Therefore, the number is 13 / 4 ( or ) 3.25
what is the y intercept
Answer:
-1
Step-by-step explanation
-1 is where the line intersects the y-axis
Ricardo is 30 years old. He plan to retire when he is 60. He has opened a retirement account that pays 3,5% interest compounded monthly. If he makes monthly
deposits of $400, how much will he have in the account by the time he retires?
9514 1404 393
Answer:
$254,165
Step-by-step explanation:
Assuming payments are made to the account at the end of the month, the balance is the sum of a geometric series with first term 400 and common ratio (1+0.035/12). The sum of 360 payments will be ...
400((1+0.035/12)^360 -1)/(0.035/12) ≈ $254,165
Ricardo will have about $254,165 in his retirement account after 30 years.
Which function has an asymptote at x = pi?
A. y=sec x
B. y=tan x
C. y=csc x
D. y=cos x
Answer:
C. y = csc x
Step-by-step explanation:
--------------------
Answer:
y=sec x
Step-by-step explanation:
this is the correct answer, i put in the other persons answer and got it wrong
Eric went for a drive in his new car. He drove for 182.4 miles at a speed for 57 miles per hour. For how many hours did he drive?
Answer:
3.2 hours
Step-by-step explanation:
182.4÷57=3.2
time divided by speed equals time