[tex] \bf \implies \:(x,y) = (2,0)[/tex]
Additional information:There are four quadrants in graph:
I quadrant shows (x,y)II quadrant shows (-x,y)III quadrant shows (-x,-y)IV quadrant shows (x,-y)Note that : x axis is also known as abscissa and y axis is also known as ordinate
4. The cost of a school banquet is $75 + 30n, where n is
is the cost for 53 people?
the number of people attending. What
© $1,590
O $4,005
© $1,665
O $158
Answer:
$ 1665 for 53 people to attend
Step-by-step explanation:
75 + 30(53) = 1665 for 53 people in attendance
Answer:
$1,665
Step-by-step explanation:
Side note: The question is quite unclear. In my opinion, the correct question should be - The cost of a school banquet is $75 + 30n, where n is the number of people attending. What is the cost for 53 people?
We know that the value of "n" is the number of people attending at the school banquet. Therefore, if we want to determine the cost of 53 people, we must substitute n = 53.
⇒ $75 + $30n
⇒ $75 + $30(53) [Substituting n = 53]
⇒ $75 + $1590 [Simplifying]
⇒ $1665 [Simplifying]
Therefore, the total cost of 53 people attending the school banquet is $1665.
A die was rolled 60 times. It landed on one—11 times, two—9 times, four—12 times, five—12 times, and six—8 times. What is the empirical probability of rolling a 5?
A die was rolled 60 times, then the empirical probability of rolled a five = 1/5.
An experiment is repeated a fixed number of times and each repetition is known as a trial. Mathematically, the formula for the experimental probability is defined by; Probability of an Event P(E) = Number of times an event occurs / Total number of trials.
Empirical probability = [tex]\frac{Number of favorable outcomes in experiment}{Total outcomes}[/tex]
Based on the given conditions,
Die was rolled 60 times.
That is,
Total outcomes = 60
She rolled One—11 times,
Two—9 times,
Four—12 times,
Five—12 times, and
Six—8 times.
But we can use rolling five,
That means, Five—12 times
And Total outcomes = 60
So,
We can write,
Number of favorable outcomes of getting 5 = 12
Then, the experimental probability rolled a five is given by,
= 12/60
= 1/5
Therefore, The empirical of probability of a rolled a five = 1/5.
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Please help me with this question thanks
Answer: 4366
Step-by-step explanation:
Angular kinetic energy, E, is the kinetic energy created by the rotation of an object and is described by the formula
E=Iw², where w is the angular velocity and I is the moment of inertia around the axis of rotation. What is the
formula solved for I?
The moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².
Angular kinetic which is also referred to as rotational energy is simply the kinetic energy due to the rotation of an object.
It is expressed mathematically as;
E = (1/2)Iw²
To solve for I, we first reorder the equation to bring the term containing I to the left side.
E = (1/2)Iw²
(1/2)Iw² = E
Multiply both sides by 2
2 × (1/2)Iw² = 2 × E
Iw² = 2 × E
Iw² = 2E
Now, divide both sides by the question of I.
Iw²/w² = 2E/w²
I = 2E/w²
Therefore, the moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².
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Can y’all please help me
Answer:
a+(-c); b; c-(-b)
Step-by-step explanation:
a = -1
b = 2
c = 3
Now we'll solve for each equation
b = 2
a + (-c) = -1 + (-3) = -4
c - (-b) = 3 - (-2) = 5
Joey is one year older than twice is brother Mark's age. Mark is M years old. What expression below can be used to find Joey's age ?
Answer:2M+1
Step-by-step explanation: The 2 would be used to double Mark's age since the question says Joey is twice Marks age. The +1 is used to add one more year after multiplying Mark's age by 2 since the question says Joey is one year older. For example if Mark's age is 2 then plug it into the equation 2(2)+1 which would make Joey's age 5. Because the 2 would double the M in this case 2 and then add a 1 to his age after because of order of operations.
-2x+6<20 I really need the answer
Answer:
.
Step-by-step explanation:
Given the following functions, find and simplify (f+g)(x).
f(x) = -3x²+x-3
g(x) = x+3
Answer: x(-3x+2)
Step-by-step explanation: (f+g)(x) is basically adding the two functions together.
[tex]-3x^{2} + x - 3 + x + 3\\-3x^{2} +2x\\x(-3x+2)[/tex]
Frist step:
Add both functions
Second step:
Combine like terms
Third step:
factor out the x to completely simplify
`2.5` ft/second.
Write an equation modeling the change in elevation `c` after `s` seconds.
The following equation represents the elevation change c after s seconds:
c = -2.5s
Given,
A mountain climber is moving 2.5 feet per second down a cliff.
Writing an equation to represent the change in elevation after s seconds is necessary.
How do we symbolize ascent and descent?
Elevation denotes upward movement, thus we interpret it as a positive distance
Descent implies a downward motion, thus we interpret it as a negative distance.
Find the rate at which the climber descents.
2.5 ft = 1 second
Find the equation that, in seconds, reflects the descents c.
We have got
2.5 ft = 1 second
So,
s x 2.5 ft = s x 1 seconds
2.5 s ft = s seconds
That means,
We will have a 2.5s distance descending in s seconds.
This can be expressed as an equation:
c = change in elevation
c = - 2.5s
Thus the equation modeling the change in elevation c after s seconds is,
c = -2.5s.
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Starting on Monday, March 29, 2010, Sunny writes down the solution to four new math problems each day; she writes each solution on a separate piece of paper and then files the papers away in her binder. On Saturdays, however, she always manages to misplace three of the problems she worked that day. How many weeks after starting to solve math problems will Sunny have at least 827 solutions in her notebook at 11:59 PM on a Sunday night?
Finding the number of problems per week,
For six days, 4 problems per day -> 24 solutionsSaturday: 1 solutionSo, she solves 25 problems per week.
If we let the number of weeks be x,
[tex]25x \geq 827 \\ \\ x \geq 827/25 \\ \\ \therefore \lceil x \rceil=\boxed{34}[/tex]
Essa conta poderia ser feita de várias maneiras. Uma delas é dividir 450 por 3 e depois multiplicar por 5. A resposta para esse problema é 750.
Step-by-step explanation:
Moço, vc tá na gringa, não na BR
A person who is 1.9 m tall may appear to be 1.8m tall in about one metre away. What is the percentage error made in estimating the main height?
95% is the percentage error in estimating the main height.
What do we mean by percentages?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.The percent sign, "%," is most commonly used, but the abbreviations "pct.", "pct," and occasionally "pc" are also used.A percentage is a number that has no dimensions or units of measurement.Divide the value by the total value and multiply the result by 100 to get the percentage.The formula for calculating the percentage is (value/total value)100%.So, let the percentage error be x.
Then,
1.9/100 × x = 1.80.019x = 1.8x = 1.8/.019x = 94.73After rounding off: 95%Therefore, the percentage error is 95%.
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Three friends ate at a restaurant. They ordered nachos for $17.95 and jalapeno poppers. Each friend paid $8.94, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.
$26.82
$17.74
$8.87
$5.98
The cost of the jalapeno poppers is C. $8.87.
How to calculate the cost?Since each friend paid $8.94, not including sales tax or tip,the total amount paid will be:
= $8.94 × 3
= $26.82
Therefore, the cost of the jalapeno will be:
= $26.82 - $17.95
= $8.87
The correct option is C
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Working alone, Cody can dig a 10 ft by 10
ft hole in six hours. Shreya can dig the same
hole in seven hours. If they worked together
how long would it take them?
Answer:
8/30 hr=16 minutes
Step-by-step explanation:
x/5+x/6=1
6x+5x=30
11x=30
x=30/11
x=2 8/30 =2 8/30 hours
Use the situation and diagram below to answer the following. The figure shown to the right is made up of a rectangle and a triangle. 10. Write a formula for the perimeter P in terms of x.
Answer:
p = 6x
Step-by-step explanation:
Perimeter is the distance around a figure.
p = 2x + 1/2x +1/2x + 2x + x if we combine all of the x's we get
p = 6x
ANSWER QUICK
What is the equation of a horizontal line that passes through the point (-2, 5)?
x = -2
y = -2
x = 5
y = 5
Answer:
y=5
Brainliest, please :)
The sum of -12 and -8 divided by the product of 4 and -5
If y varies directly with x and y is 37.4 when x is 17, what is the value of x when y is 13.2?
Answer:
6
Step-by-step explanation:
We have y ∝ x which is another way of saying y varies directly with x
We can rewrite the direct proportion relation y ∝ x as y = k.x where k is a constant - the constant of proportionality
So y = kx or x = y/k
using y and x values know, we can solve for k and then solve for any x given y
We have
y = 37.4 = k (17)
Therefore k = (37.4/17) = 2.2
To find x given y = 13.2, use the second equation
x = y/k = 13.2 / 2.2 = 6
Please help with this
Answer:
18
Step-by-step explanation:
252/14=18
Answer:
They washed 18 cars
Step-by-step explanation:
252 ÷ 14 = 18
18 x 14 = 252
( ´ ∀ `)ノ~ ♡
It take 18 pounds of seed to completely plant a 3-acre field.how many pounds of seed are needed per acre
Money is borrowed at 9% simple interest. After one year $615.85 pays off the loan. How much was originally borrowed?
Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00
How much was the original amount borrowed?Simple interest is simply a method to determine the amount of interest charged on a sum at a given rate and for a given period of time.
It can be expressed as;
A = P( 1 + rt )
Given the data in the question;
Annual interest rate r = 9% = 9/100 = 0.09Total amount A = $615.85 Time period t = 1 yearsPrincipal P = ?To determine the initial amount borrowed, plug the given values into the equation and solve for P.
A = P( 1 + rt )
615.85 = P( 1 + ( 0.09 × 1 ) )
615.85 = P( 1 + 0.09 )
615.85 = P( 1.09 )
P = 615.85 / 1.09
P = $565.00
Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00
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A student uses the quadratic formula to solve a quadratic equation and determines that one of the solutions is z=3+√-48. What are the values of a and b if this solution is written in the form x = a + bi,
where a and b are real numbers?
a-3 and b=-4√3
a=3 and b= 4√3
a=3 and b=√12
a-3 and b=3√4
The value of a and b are a = 3 and b = 4√3 which are real numbers.
According to the question the solution that we have been given is:
z = 3 + √-48
the general form of the solution given in the question is
x = a + bi (1)
where , i is known as the iota whose value is equal to √-1
Now to find the value of a and b we will expand the equation given above
z = 3 + √-48
z = 3 + √(-1)(48)
z = 3 + (√-1)(√48)
z = 3 + √48 i
z = 3 + 4√3 i (2)
Which is equal to the general equation. Now comparing equation (1) and (2) we get
a = 3 and b = 4√3
Hence the value are : a = 3 and b = 4√3.
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Jillian baked 2 batches of cookies in 3/4 of an hour. How many batches of cookies would she cook in 1 hour? show ur work
Answer:
2 batches:1/4 which is 25 min. so 1 batch would be half of that. So just divide 25 by 2, which would get you 12.5 12 minutes, and 30 seconds. Hope this helped~ is 1/2 because for 2 is 1/4 and for the half of 1/4 is 1/2 and if u add 1/2 and 1/2 it equals 1/4 so the answer is 1/2 Incorrect.
Step-by-step explanation:
you couldn't do this on ur own?
5.29% APR compounded continuously
Answer:
Step-by-step explanation:
it is a
Ravi traveled for 15 hours at a constant rate of 73 miles per hour. Ira traveled the same distance at a constant rate of 64 miles per hour. How long did it take Ira to travel the same distance as Ravi? Write your plan to solve in the correct order
Ira took hours to reach the same distance as Ravi at the rate of 64miles per hour.
The ratio of two related quantities expressed in several units is known as a rate.
Speed is a rate defined as the amount of distance covered in a given amount of time.
The rate or speed is calculated by the formula:
Distance travelled = speed × time
Lets us solve the following question using the above formula.
The rate of Ravi is 73 mph.
In 15 hours Ravi travels= 15×73=1095 miles.
Now Ira also travels the same distance as Ravi.
So Ira Travels 1095 miles.
Given the rate of Ira=64 mph
Time taken by Ira to cover the distance= Distance ÷ speed(rate)
Hence time taken=1095÷64=17.109375 hours
Therefore the time taken by Ira to cover the same distance as Ravi is approximately 17.11 hours.
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Please help me, I would appreciate it
Answer:
length= 10 width=5
Step-by-step explanation:
Answer:
It think it is 35
Step-by-step explanation:
What company has the absolute advantage when it comes to producing phones?
a. Gonzalez and Bros. Inc
b. The G company Inc
c. they both do
d. neither
(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.
Absolute advantage theory
Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.
On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.
Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.
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Luis and Raul are riding
Answer: Part A = y=−7.5x+15
Part B = 5 mi/hr
Step-by-step explanation:
both Randy and Sue were at music lessons on Tuesday May 3rd. sue goes to music lessons every 4 days Randy goes every 5 days. lessons are Monday through Saturday. what is the next day of the week that they will both be at music lessons?
The next when Randy and Sue will both have music lessons on Monday May 23rd.
First we will list the multiple of 4 and 5 to solve this question and then we will find the common multiple of them because the two activities will happen again in a number divisible by both 4 and 5.
The multiples of 4 are : 4, 8, 12, 16, 20, ...
The multiples of 5 are : 5, 10, 15, 20, ...
Now we got the common multiple which is 20,
So, The common multiple of 4 and 5 is 20.
That means Randy and Sue will both have music lessons on after 20 days from Tuesday May 3rd.
Hence, Randy and Sue will both have music lessons on Monday May 23rd.
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Suraj took a slice of pizza from the freezer and put it in the oven. The pizza was heated at a constant rate.
The table compares the pizza's temperature (in degrees Celsius) and the time since Suraj started heating it (in minutes).
Time (minutes) Temperature (degrees Celsius)
4 25
6 40
8 55
The pizza heats up an average of 7.50 degrees per minute.
What is the slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The table shown
Time (minutes) Temperature (degrees Celsius)
4 25
6 40
8 55
Since the pizza was heated at a constant rate, we can model the experiment as a line, where the slope represents how fast the pizza was heated
Slope
m = (y2 - y1)/(x2 - x1)
Let
(x1,y1) = (6, 40)
(x2,y2) = (8, 55)
m = (55 - 40) / ( 8 - 6 )
m = 7.5 degrees per minute.
The pizza heats up an average of 7.50 degrees per minute
Therefore, pizza heats up an average of 7.50 degrees per minute.
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