The given cylindrical wind chime of dimensions 16 inches long will not fit inside the box in the shape of rectangular-prism having dimensions 10 inches x 8 inches x 6 inches.
1)shorter than
2) shorter than
3)will not fit.
What is a rectangular-prism?
Rectangular prism also called as cuboid, is a closed three dimensional solid having six faces. This prism has eight vertices or corners and 12 edges. The perimeter of this shape is the total length of 12 edges. The area of this shape is the sum of area of for or six surfaces depending on the given situation.
Given dimensions of cuboid/rectangular prism:
Length=10 inches, height= 6 inches & Width=8 inches
Dimensions of cylindrical wind chime: Length of cylinder = 16 inches
Case I: comparision of diagonal of base of the box & length of wind chime.
Diagonal of base can be found using pythagorean theorem:
Diagonal=\(\sqrt{L^{2} +W^{2} }\)
=\(\sqrt{(10)^{2} +(8)^{2} }\)
=\(\sqrt{100+64\\}\)
=\(\sqrt{164}\)
=12.8 inches ≠ 16 inches
Diagonal of rectangular prism base shorter than length of wind chime.
Case II:comparision of interior diagonal of the box & length of wind chime.
Interior diagonal of box=\(\sqrt{L^{2} +W^{2} +H^{2} }\)
=\(\sqrt{(10)^{2} + (8)^{2} +(6)^{2} }\)
=\(\sqrt{100+64+36}\)
=\(\sqrt{200}\)
=14.14 inches ≠ 16 inches
Interior Diagonal of rectangular prism is shorter than length of wind chime.
As the wind chime is greater than both the diagonals of cuboid, the chime will not fit into the prism.
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Refer to the complete question attached below.
kindly check if it’s correct and correct those that are wrong. thank you! as well as calculations
The following information is known for the month of December:
1. Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,900.
2. No insurance payments are made in December. Insurance expired in December is $1,400.
3. November salaries payable of $9,800 were paid to employees in December. Additional salaries for December owed at the end of
the year are $14,800.
View transaction list
4. On December 1, Golden Eagle received $2,700 from a customer for rent for the period December through February. By the end of
December, one month of rent has been provided.
Required:
For each item, (a) record any transaction during the month of December, and (b) prepare the related December 31 year-end adjusting
entry. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.)
no random answers ty!
Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.
What is Journal Entry?
The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.
This question is related to the account and finance subject.
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solve and check the equation 3(5-2x)=2(4x=3)
They got 9/14 as the solution set but I do not know how?
Thank you so much.
Answer:
3(5-2x) = 2(4x=3)
= 15-6x = 8x=6
= 15-6x = 8x-6
= 15-6 = 8x+6x
= 9 = 14x
therefore, x=9/14
Step-by-step explanation:
hope it helps you
The customer support hotline for Bitway Computers is currently staffed by a single technician. Calls arrive randomly at a rate of five per hour and follow a Poisson distribution. The technician can service calls at an average rate of seven per hour, but the actual time required to handle a call is an exponential random variable. The president of Bitway has received numerous complaints from customers about the length of time they must wait "on hold" for service when calling the hotline. Find the following
Find the probability that the technician is servicing a call
The average number of callers put on hold.
Find the average time that a customer must wait before receiving service from the technician
Find the total time a caller spends waiting for service and being served under Bitway ‘s current hotline configuration.
The probability that the technician is servicing a call is given by the formula:
The formula
P = (rate of calls arriving)/(rate of calls being handled) gives the likelihood that the technician is servicing a call as follows:
5 calls per hour / 7 calls per hour
= 0.71 or 71%.
Average number of callers put on hold = (rate of calls arriving)/(rate of calls being served - rate of calls arriving) = 5 calls/hour / (7 calls/hour - 5 calls/hour)
= 5/2 = 2.5 callers.
The following formula determines the typical amount of time a customer must wait before receiving service from the technician:
Average wait time is calculated as follows:
average wait time = 1 / (rate of calls answered - rate of calls incoming)
= 1 / (7 calls/hour - 5 calls/hour)
= 1/2 hour = 30 minutes.
Under Bitway's current hotline design, the total amount of time a caller spends waiting and receiving service can be determined using the following formula:
Total time equals average wait time plus average service time, which is 30 minutes plus (1 / rate of calls being served), which is 30 minutes plus (1 / 7 calls/hour), which is 30 minutes plus 8.57 minutes, or 38.57 minutes.
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On a map, 1 inch equals miles. If two cities are 3 inches apart on the map, how far are they actually apart?
Answer: as many miles as 3 inches is
Step-by-step explanation:
To determine the actual distance between two cities when given a scale on a map, we can use the concept of ratios and proportions.
In this case, we are told that 1 inch on the map represents a certain number of miles. Let's say that 1 inch on the map represents x miles.
We can set up the following proportion:
1 inch / x miles = 3 inches / y miles
Using cross-multiplication, we have:
1 inch * y miles = 3 inches * x miles
Simplifying the equation:
y miles = 3 inches * x miles
Now, we can substitute the given value of 3 inches for the distance on the map:
y miles = 3 inches * x miles
To find the actual distance between the cities (y miles), we need to know the value of x, which represents the number of miles represented by 1 inch on the map. Without that information, we cannot calculate the actual distance between the cities.
Using trigonometry, Find x
Answer:
x is 8.9
Step-by-step explanation:
x/sin28 =19/sin90
x/sin28 = 19
x= 19 (sin 28)
x=8.9
Answer:
8.9
Step-by-step explanation:
Let c be a positive number. Explain how to shift the graph of y=f(x) upward, downward, left, or right c units. Give examples.
y = f(x) + c is the graph y = f(x) shifted upward c units.
y = f(x) - c is the graph of y = f(x) shifted downward c units.
y = f(x - c) is the graph of y = f(x) shifted to the right c units.
y = f(x + c ) is the graph of y = f(x) shifted to the left c units.
Given parallelogram WXYZ, WV = 5x - 5, and WY = 20, find the value of x. (Please note, canvas is broken so I had to rewrite it.)
we have
WV = 5x -- 5
WY = 20
and WV = 1/2 WY
So
\(\begin{gathered} WV=\frac{1}{2}WY \\ 5x-5=\frac{1}{2}(20) \\ 5x-5=10 \\ 5x-5+5=10+5 \\ 5x=15 \\ \frac{5x}{5}=\frac{15}{5} \\ x=3 \end{gathered}\)answer: x = 3
16
Find the exact value of x
X =
30
Do the side lengths form a Pythagorean triple?
O Yes
O No
The exact value of x is √1156 and it follows the Pythagorean triple
Finding the exact value of xFrom the question, we have the following parameters that can be used in our computation:
Legs of the right triangle = 16 and 30
Using the pythagoras theorem, we have
Hypotenuse^2 = the sum of the squares of the other lengths
So, we have
x^2 = 16^2 + 30^2
When evaluated, we have
x^2 = 1156
This gives
x = √1156
Hence, the exact value is √1156
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Fill in the missing terms to complete the factorization. 15x^2 + x - 2 = (? -1) (? + 2)
a- 3x, 5x
b- x, 15x
c- 5x, 3x
d- 15x, x
The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )
Given data ,
Let the equation be represented as A
Now , the value of A is
A = -15x² - 31x - 2
On simplifying , we get
The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition
So , on factorizing , we get
A = ( -15x - 1 ) ( x + 2 )
Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )
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The complete question is attached below :
Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)
a- 3x, 5x
b- x, 15x
c- 5x, 3x
d- 15x, x
Find the principal:
Interest Rate: 16%
Interest: $18
Time: 3 months
$450 if you need the process ask me will give it to you
If 9% of a number is 75, find 3% of that number.
Delta math again.
Answer:
25
Step-by-step explanation:
\(0.09a=75\\a=\frac{75}{0.09} \\0.03*a=0.03*\frac{75}{0.09} =25\)
Write a recursive formula for
Answer:
\(a(1) = 144\)
\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)
\(a(n) = - \frac{1}{6} a(n - 1)\)
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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I am lost on this question i found both but it keeps on telling me i am incorrect
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
Pls answer this. I need the answer quick. Just write the answer. no downloads
Answer:
POINTS HA
Step-by-step explanation:
The graph of f(x) - 3* -6 is shown below. g() is a transformation of f(x).
How would you write the equation for the function g(x)?
15
10
5+
g(x)
is 2015 16
f(x) = 13*-6 -10
5
10
15 20 25
5
15+
O
A. g(x) - 3* +2
B. g(x) =
Ο Ο
2--13*-6
c. g(x)=13* +3
D. g(x)= - 4*+3
o
Answer:
\(g(x) = \frac{1}{4}3^x +3\)
Step-by-step explanation:
Given
\(f(x) =\frac{1}{4}3^x -6\)
\(g(x) \to\) translate f(x) 9 units up
Required
Find g(x)
The translation rule is:
\(g(x) \to f(x) + 9\)
So, we have:
\(g(x) = f(x) + 10\)
\(g(x) = \frac{1}{4}3^x - 6 + 9\)
\(g(x) = \frac{1}{4}3^x +3\)
use the LCM to find equivalent fractions for each fraction pair. then use the symbol greater then or less than to show the bigger fraction. the numbers are 5/8 and 2/3 , 1/6 and 2/9, and 7/12 and 5/8
The comparison of the fractions are
15/24 < 16/24, 3/18 < 4/18 and 14/24 <15/24
How to determine the equivalent pairsFraction 1
Here, we have
5/8 and 2/3
The LCM of 8 and 3 is 24
So, the pair is
15/24 and 16/24
When compared, we have
15/24 < 16/24
Fraction 2
Here, we have
1/6 and 2/9
The LCM of 6 and 9 is 18
So, the pair is
3/18 and 4/18
When compared, we have
3/18 < 4/18
Fraction 3
Here, we have
7/12 and 5/8
The LCM of 12 and 8 is 24
So, the pair is
14/24 and 15/24
When compared, we have
14/24 <15/24
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Dorothy organises a charity raffle she sells 800 tickets for £2 each 4% of the tickets win a prize it cost £20 65% of the profit goes to charity A and the rest goes to charity be how much of the money does Dorothy raise for charity day
By using Percentage , Profit distributed to Charity A is £ 624 and Charity B is £ 336
What is Percentage ?A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.
Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:
use the unitary approach.by adjusting the fraction's denominator to 100.It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.Total ticket sold = 800
Cost of each ticket is £ 2
Total fund raised (raw) = 2 * 800 = £1600
4% of the ticket won a prize of £20 each
so total number of tickets winning a prize = 4 % of 800 = 32
Total prize money distributed = 32 * 20 = £ 640
Total amount to distribute to charity = 1600 - 640 = £ 960
Total profit that goes to Charity A is = 65 % of 960 = £624
And rest to charity B is = £ 336
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The population of bluegills (type of fish) has a mean length of 152.09mm and a standard deviation of 19.62mm. What is the probability that a random sample of 25 fish has a mean length of 140mm or shorter
Answer:
0.001035
Step-by-step explanation:
Mean (m) = 152.09 mm
Standard deviation (σ) = 19.62 mm
Sample size (n) = 25
Length being 140mm or shorter (x) : x ≤ 140
Using the Zscore relation :
Zscore = (x - m) / (σ/√n)
Zscore = (140 - 152.09) / (19.62/√25)
Zscore = (140 - 152.09) / (19.62/5)
Zscore = −3.081039
P(Z ≤ −3.08) = 0.001035
-1/2 (30x + 16) Help Please!
A. -27x - 7
B. -15x - 8
C. -18x - 9
Answer:
A -(27x + 7)
B -(15x + 8 )
C -9(2x + 1 )
Step-by-step explanation:
-1/2 (30x + 16) = -15x-8
Nancy wants to buy some granola, which she eats for breakfast almost every day. Which is likely the most cost-effective option?
A buying a single pack
B. buying a pack of two
C. buying a pack of five
As she eats granola for almost everyday as breakfast C. buying pack of five will be mot cost effective.
Why buying a product in large amount costs less ?Buying a product in large amount costs less per unit as we buy more units so it make up the income percent per unit on amount of unit.
According to the give question Nancy wants to some granola which she eats for breakfast for almost everyday we have to determine which will be most cost effective.
As she eats this for almost everyday she must but the most amount she can as there is transportation cost to go to the mall everyday and it is also time consuming and also buying a certain thing in large possible amount costs less per unit.
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If you add 21 to my number, multiply the result by 3, you will get 84 more than 2/3 of my number what is my number?
Step-by-step explanation:
x = my number
3(x + 21)
multiply sum of 21 and my number by 3
=
(2/3)x + 84
84 more than 2/3 of my number
3(x + 21) = (2/3)x + 84
9(x + 21) = 2x + 3×84 = 2x + 252
9x + 189 = 2x + 252
7x + 189 = 252
7x = 63
x = 9
my number is 9.
Which expression is represented by the model shown below?
brit of beau ad noo noiz
Srodeq nislame
Answer:
4*9
Step-by-step explanation:
It's obvious.
During the summer isabelle sells corn at her familys produce stand every morning she starts with 250 ears of corn on saterday isabelle sells 150 of the 250 ears of corn she wants to know what percent of the corn she sold
Answer:
60%
Step-by-step explanation:
To find the percent of the corn she sold, divide the amount by the total, then multiply that by 100.
(150 / 250) x 100
0.6 x 100
= 60
So, Isabelle sold 60% of the corn
What is the least common denominator of 1/6 and 2/3
Answer:
It is 6 since the denominator 3 can be moved to 6 by only multiplying it by 2
(SAT Prep) Find the value of x.
The angle measure of x is 115°.
What is a parallelogram?A parallelogram is a four-sided shape with two sets of parallel sides, which means that opposite sides are both parallel and have equal length. Parallelograms also have opposite angles with the same measure, and their diagonals intersect at the midpoint and bisect each other. This results in the parallelogram being divided into two triangles that are congruent. Examples of parallelograms include rectangles, squares, and rhombuses, and they are commonly used in both geometry and everyday life, particularly in the design of buildings and other structures.
We can call this figure ACDEF. Let us join CB.
Now we can see that BDEF is a parallelogram. Opposite angles of a parallelogram are equal, hence ∠DBF = ∠DEF = x°
And also consider the triangle ABC,
∠BAC = 50°
∠ABC = 180 - ∠DBF = 180° - x° (linear pair)
∠ACB = 180 - ∠ACD = 180° - x° (linear pair)
We know that all the angles of a triangle adds up to 180°.
Using this we can find x°:
∠BAC + ∠ABC + ∠ACB = 180°
50° + 180° - x° + 180° - x° = 180°
-2x° + 410 = 180°
-2x° = 180° - 410° = -230°
x° = -230/ -2
x ° = 115°
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Please help me with this question and please show me step by step and the frmula used.
By interpretating the graph of a quadratic equation, the initial height of the ball is equal to 5 feet above ground.
How to determine the initial height of the ball
In this problem we must determine the initial height of the ball according to a graph, whose form resembles quadratic equations. Graphically speaking, the initial height is the y-coordinate of the y-intercept. First, the coordinates of the y-intercept of the equation are:
(t, h) = (0 s, 5 ft)
Second, the final height of the ball is equal to:
h = 5 ft
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Greg washes cars on Saturdays at his dad’s car dealership. His dad pays him $50 plus $5 for each car that he washes. Greg washed 11 cars last Saturday. Use function notation to write an equation that gives the total amount Greg earns as a function of the number of cars he washes. Use the equation to find how much he earned last Saturday.
(SHOW WORK)
Answer:
605
Step-by-step explanation:
11x55=605
F(x) = 3-x +x2 -x-x Find f(2)
A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.
Answer:
Step-by-step explanation:
(0,0)
i hope this helps