Answer:
Commutative property because it states that the numbers can be moved around or swapped from their position without making any difference to the answer.
The city is building a rectangular parking lot. The city wants the width of the parking lot to be 5 yards the area of the parking lot to be more than 30 square yards all the city employees must park there write an inequality that describes a possible lengths in yards of the parking lot
An inequality that describes a possible length in yards of the rectangular parking lot is L < 6.
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
A represents the area of a rectangle.W represents the width of a rectangle.L represents the length of a rectangle.Since the city wants the width of the parking lot to be 5 yards and the area of the rectangular parking lot to be more than 30 square yards, an inequality that models a possible lengths of the rectangular parking is giving by;
A > LW
30 > 5L
Dividing both sides of the inequality by 5, we have:
6 > L
L < 6
Read more on area of a rectangle here: brainly.com/question/25292087
#SPJ1
What's the lateral area of the following cone?
Answer:
Since the base of a cone is a circle, we substitute 2πr for p and πr2 for B where r is the radius of the base of the cylinder. So, the formula for the lateral surface area of a right cone is L. S. A=πrl , where l is the slant height of the cone .
Step-by-step explanation:
I tired??? sorry if it's wrong???
Need the answer explained
Answer:
it's very simple maybe it's in ur book?
help....................
The unit of the rate of change is (b) dollars per month
How to determine the unit of the rate of changeFrom the question, we have the following parameters that can be used in our computation:
The table of values
Where we have
y = total amount in dollars
x = number of months
The rate of change is calculated as
Rate = y/x
substitute the known values in the above equation, so, we have the following representation
Rate = total amount in dollars/number of months
So, we have
Unit = dollars per month
Read more about rate of change at
https://brainly.com/question/31965106
#SPJ1
Karl has stamps in his desk drawer. The possible combinations of stamps are shown below.
A 2-column table with 5 rows. The first column, the number of 45-cent stamps, has the entries 18, 20, 22, 25. The second column, the number of 65-cent stamps, has the entries 17, 15, 13, 10.
Which statement about the stamps is correct?
IfIf the second column, the number of 65-cent stamps, has the entries 17, 15, 13, 10. The statement about the stamps that is correct is: The value of the stamp is 35.
Value of the stampTo determine the value of the stamp we are going to add the last column of the number of 45-cent stamps which is 25 and the number of 65-cent stamps which is 10.
Hence:
Value of the stamp=25+10
Value of the stamp=35
Therefore If the second column, the number of 65-cent stamps, has the entries 17, 15, 13, 10. The statement about the stamps that is correct is: The value of the stamp is 35.
Learn more about Value of the stamp here:https://brainly.com/question/24024119
#SPJ1
PLEAE HELPP WILL MARK BRAINLIEST
Given that my=34°, find the value of the angle b
A 146°
B 56°
C 34°
D 124°
E 68°
Considering the figure the value of angle b is
D 124°How to solve for angle bAccording to the vertical angle theorem, the opposing angles of two crossing lines must have the same value, or be congruent.
hence angle a = angle y
Then from exterior angle of a triangle theorem: If a triangle's side is created, the outside angle that results is equal to the sum of the two opposite internal angles.
angle b = angle a + 90
= 34 + 90
= 124 degrees
Learn more about angles at
https://brainly.com/question/25770607
#SPJ1
three different methods for assembling a product were proposed by an industrial engineer. to investigate the number of units assembled correctly with each method, employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by workers. the number of units assembled correctly was recorded, and the analysis of variance p
Since the p-value is less than .05, we reject the null hypothesis that the means of the three assembly methods are equal.
Therefore, we can conclude that there is a significant difference in the means of the three assembly methods.
Source Variation | Squares' Sum | Degrees of Freedom | Mean Square | F
Treatments 4560 2 2280 9.87
Error 6240 27 231.11
Total 10800 29
Using Alpha = .05 to test for any significant difference in the means for the three assembly methods.
The value of the test statistic is 9.87
The p-value is: less than .01
Conclusion not all means of the three assembly methods are equal.
Complete Question:
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.
Set up the ANOVA table for this problem (to 2 decimals, if necessary).
PLEASE HELP 100 POINTS
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x
f(x)=2/x and g(x)=2/x
Answer:
see below
Step-by-step explanation:
\(f(x)=2/x\\\\g(x)=2/x\\\\f(g(x))=f(2/x)\\\\f(2/x)=2/(2/x)\\\\f(g(x))=2x/2\\\\f(g(x))=x\\\\\)
and since f(x)=g(x) the same process applies to g(f(x))
To pass a course with a C grade, a student must have an average of 70 or greater. A students grades on three test are 60,71, and 63. Find what score the student must get on the next test to get a C average or better
The score the student must get on the next test to get a C average or better is 86.
How to calculate the average?From the information given the pass a course with a C grade, a student must have an average of 70 or greater and students grades on three test are 60,71, and 63.
The next score will be calculated as x.
60 + 71 + 63 + x = (70 × 4)
194 + x = 280
x = 280 - 194
x = 86
Therefore, the next score must be 96.
Learn more about average in:
brainly.com/question/19243813
#SPJ1
Anna is 4 years older than her brother. Two years ago her brother was 3/4 her age. How old will her brother be in five years
Answer: he will be 14
Step-by-step explanation:
Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))
Explain your answer !!
Have a nice day
Will give braisnlt
Answer:
Equations:
\(4H + 3P = 13.75\)
\(2H + 5P = 11.25\)
\(H = 2.50\) --- Hot dog
\(P = 1.25\) --- Pretzel
Step-by-step explanation:
Represent hot dogs with H and Pretzels with P.
For Tina:
\(4H + 3P = 13.75\)
For Doug:
\(2H + 5P = 11.25\)
Solving for the price of both items:
We have:
\(4H + 3P = 13.75\) --- (1)
\(2H + 5P = 11.25\) --- (2)
Multiply (2) by 2
2 * (\(2H + 5P = 11.25\))
-------------------
\(4H + 10P = 22.50\) --- (3)
Subtract (3) from (1)
\(4H + 3P = 13.75\)
\(4H + 10P = 22.50\)
----------------------
\(4H - 4H + 3P - 10P = 13.75 - 22.50\)
\(3P - 10P = 13.75 - 22.50\)
\(-7P = -8.75\)
Solve for P
\(P = \frac{-8.75}{-7}\)
\(P = 1.25\)
Substitute 1.25 for P in (2)
\(2H + 5P = 11.25\)
\(2H + 5 * 1.25 = 11.25\)
\(2H + 6.25 = 11.25\)
Collect Like Terms
\(2H = 11.25-6.25\)
\(2H = 5\)
Solve for H
\(H = \frac{5}{2}\)
\(H = 2.50\)
A geometric sequence has only positive terms. The third term is 100 and the eighth term is 3.125.
Find the common ratio.
The common ratio of a geometric sequence will be;
⇒ r = 5 / 10
What is Geometric sequence?
An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
In a geometric sequence,
The third term is 100 and the eighth term is 3.125.
Now,
We know that;
The nth term of geometric sequence is,
⇒ \(T_{n} = a r^{n - 1}\)
Hence, The third term is;
⇒ \(T_{3} = a r^{3 - 1} = 100\)
⇒ \(a r^{2} = 100\) ..(i)
And, The eighth term is,
⇒ \(T_{8} = a r^{8 - 1} = 3.125\)
⇒ \(a r^{7} = 3.125\) ..(ii)
Divide equation (ii) by (i), we get;
⇒ ar⁷ / ar² = 3.125/100
⇒ r⁷ / r² = 3125 / 100000
⇒ r⁷⁻² = 3125 / 100000
⇒ r⁵ = 3125 / 100000
⇒ r = 5/10
Thus, The common ratio of a geometric sequence will be;
⇒ r = 5 / 10
Learn more about the geometric sequence visit:
https://brainly.com/question/25461416
#SPJ1
Find the x intercept and the y intercept of the line below.
Answer:
x=-2 y=4
the line hits both -2 on the x asis and 4 on the y
The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length
and width of the rectangle.
Answer:
Step-by-step explanation:
The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length
and width of the rectangle.
A store has clearance items that have been marked down by 50%. They are having a sale, advertising an additional 45% off clearance items. What percent of the original price do you end up paying?
bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.
Let's assume the original price of an item is $100.
The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.
The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.
Therefore, the final price you end up paying after both discounts is $22.50.\
To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:
Percent of original price = (final price / original price) * 100
In this case, the final price is $22.50 and the original price is $100:
Percent of original price = ($22.50 / $100) * 100
= 0.225 * 100
= 22.5%
Therefore, you end up paying 22.5% of the original price after the discounts.
It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.
For more such questions on discounts
https://brainly.com/question/28420607
#SPJ8
Find the linear function,
f
(
x
)
, passing through the points:
(
−
5
,
−
7
)
and
(
2
,
−
7
)
.
Enter your answer using function notation
Answer:
f(x) = -7
Step-by-step explanation:
geez - how about typing things so we can read them?
The line passing through (-5,-7) and (2,-7) is a horizontal line
The ratio of the length to breadth
of a room is 7:5. Find the length
of the room if the breadth is
10m
Answer:
14m
Explanation:
10 ÷ 5 = 2
2 × 7 = 14
PLEASE HELP!!!!! 1-Suppose the population of a city is 50000 and growing 3% each year.
What is the population after 25 years?
20 points
A)104689
B)107250
C)99500000
D)12.
Answer:
A 104,689
Step-by-step explanation:
y= a x b^x
y=50,000 x 1.03^x
The population after 25 years is 104689.
The correct option is A.
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
Given:
The population of a city is, 50000,
and growing 3% each year.
That means, the function that represents the situation is,
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and sx is the time period.
So,
y = 50000(1+0.03)²⁵
y = 104688.89
y ≈ 104689
Therefore, the population is, 104689.
To learn more about the exponential growth;
https://brainly.com/question/12490064
#SPJ5
Can you help me please? I would appreciate it ❤️❤️
What is the range of the function graphed below
Answer:
D
Step-by-step explanation:
Two forces of 90 newtons and 58 newtons act simultaneously on an object. The angle between the two forces is 57°. Find the magnitude of the resultant, to the nearest 10th of a newton.
Answer:
131.0 N
Step-by-step explanation:
Let the 90 N force is acting a horizontal force on the object
Horizontal force = 90 + 58sin33
Vertical force = 58cos33
∴The resultant force = √(90 + 58sin33)² + (58cos33)²
= 131.0 N
An accountant who is currently earning $42,380 annually expects a 6.5% raise. What is the amount of the
expected raise?
Answer:
$2754.70
Step-by-step explanation:
A rocket is launched at t = 0 seconds. Its height, in meters above sea-level, is given by the equation
h = -4.9t2 + 112t + 395.
At what time does the rocket hit the ground? The rocket hits the ground after how many seconds
Answer:
Step-by-step explanation:
In order to find out how long it takes for the rocket to hit the ground, we only need set that position equation equal to 0 (that's how high something is off the ground when it is sitting ON the ground) and factor to solve for t:
\(0=-4.9t^2+112t+395\)
Factor that however you are factoring in class to get
t = -3.1 seconds and t = 25.9 seconds.
Since time can NEVER be negative, it takes the rocket approximately 26 seconds to hit the ground.
21 20 15 22 19 23 17 what is the median and range
The median would be 22:
Step-by-step explanation: The median is the number that is in the middle
Simply defined, the median is the number right in the middle of a set.
But before I get down to finding the median, I will order the numbers from least to greatest:
15, 17, 19, 20, 21, 22, 23
Now, the middle number is 20. So that's the median.
As for the range, it's the difference between the largest number and the smallest one:
Range = Greatest number - Smallest number
= 23 - 15
= 6
In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.
25 POINTS PLS HELP SOME1!!
The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;
The transformation are a rotation and a translation
What is a translation transformation?A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.
The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units
The correct option is the second option; The transformation are a rotation and a translation
Learn more on rotation transformation here: https://brainly.com/question/29022349
#SPJ1
woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?
The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
What is the unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service
Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,
We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,
To find the same, we will first find the unit price of each,
Unit price = total price / total quantity
Since, 1.8 kg of chicken costs $5.40,
Therefore, 1 kg will cost = 5.40 / 1.8 = $3
Similarly,
If 1.6 kg of meat costs $6.40,
Therefore, 1 kg will cost = 6.40 / 1.6 = $4
Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,
Therefore,
2.4 kg of chicken will cost = 2.4 x 3 = $7.2
2 kg of meat will cost = 2 x 4 = $8
In total, she had to pay = 8+7.2 = $15.2
Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
Learn more about unit prices, click;
https://brainly.com/question/10503561
#SPJ1
Find the mean, median, mode and range:
5, 2, 7, 4, 6, 9, 7, 5, 6, 7
So ,
here's your answer:
Mean =5.8
median=6
Mode=7
Range=7
Look at the attached picture
Hope it will help you
Good luck on your assignment
awnser the qusetion 9iu523hb5hn33
The order of the matrices of each product is given as follows:
AB is nonexistent, BA is nonexistent.
How to apply multiplication of matrices?Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.
For the product AB, we have that:
A has four columns.B has two rows.Hence the product is nonexistent.
For the product BA, we have that:
B has four columns.A has two rows.Hence the product is nonexistent.
More can be learned about multiplication of matrices at https://brainly.com/question/24274686
#SPJ1
please help me with this!!!! help!!! I need the answer! Find the area and permeter of the triangle
Answer: Area 6 Perimeter 12
Step-by-step explanation:
First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6
Answer:
The answer for P=12cm,A=6cm²
Step-by-step explanation:
Perimeter of triangle=a+b+c
P=5+3+4
P=12cm
Area of triangle =1/2bh
A=1/2×3×4
A=2×3
A=6cm²
Which point is located at (-36,-45)
Answer:
Point A is located at (-3.6, -4.5)
Step-by-step explanation: