Answer:
A and B
Step-by-step explanation:
\(\frac{1}{n} = -n\)
and
\(\frac{1}{10000} = -10000\)
\((10000)^{-1}\) = \(\frac{1}{10000}\)
Hope that helped
Tim and Tom are trying to find the least number which is a perfect square and which is also divisible by 16, 18 and 45.
AABC is an isosceles triangle. AB is the longest side with
length 9x+3, BC = 4x+6 and CA = 3x+9. Find AB.
Answer:
30
Step-by-step explanation:
Since ABC is isosceles, BC = CA.
4x + 6 = 3x + 9x = 3So, AB = 9(3)+3 = 30.
Carrie can fold 20 shirts in two and a half minutes. If she continues at this rate, how long will it take her to fold 50 shirts?
Answer:
6.25 minutes
Step-by-step explanation:
First, let's simplify it down. We want to find out how many shirts she can fold in 1 minute, then multiply that by 50.
20 shirts in 2.5 minutes
20 shirts = 2.5 minutes
An equals sign is like a see-saw. If you do something to one side, you have to do it to the other side. To get 20 shirts to 1 one shirt, divide by 20. You have to do that to the other side to make it equal.
(20 divided by 20) = (2.5 divided by 20)
1 shirt = 0.125 minutes.
That's how long it takes to fold 1 shirt. To find the time for 50 shirts, multiply that by 50.
0.125 x 50 = 6.25
It will take Carrie 6.25 minutes to fold 50 shirts. Hope this helped =)
The number of minutes that it takes her to fold 50 shirts will be 6.25 minutes.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Carrie can fold 20 shirts in two and a half minutes. Then the rate is calculated as,
Rate = 20 / (2.5)
Rate = 8 shirts per minute
If she continues at this rate. Then the number of minutes that it takes her to fold 50 shirts will be given as,
⇒ 50 / 8
⇒ 6.25 minutes
The number of minutes that it takes her to fold 50 shirts will be 6.25 minutes.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
(4x+2)=102+44 solve for x
x = 36
(x-5)/(2) + (x-1)/(8) + (x-3)/(4) + (x-4)/(3) PLSSSS I WILL GIVE BRAINLIEST PPLS I NEED HELPPPPPP
Answer: (29x-113)/24
Step-by-step explanation:
1. Separate each term from the x's
\(\frac{1}{2}\)x+\(\frac{-5}{2}\)+\(\frac{1}{8}\)x+\(\frac{-1}{8}\)+\(\frac{1}{4}\)x+\(\frac{-3}{4}\)+\(\frac{1}{3}\)x+\(\frac{-4}{3}\)
2. Group like terms together
(\(\frac{1}{2}\)x+\(\frac{1}{8}\)x+\(\frac{1}{4}\)x+\(\frac{1}{3}\)x)+(\(\frac{-5}{2}\)+\(\frac{-1}{8}\)+\(\frac{-3}{4}\)+\(\frac{-4}{3}\))
3. Find like terms of all denominators. 24 is the common denominator
2 4 6 8 10 12 14 16 18 20 22 24
8 16 24
4 8 12 16 20 24
3 6 9 12 15 18 21 24
4. Set every fraction to denominator of 24, multiply numerator by same number as the denominator
\(\frac{1}{2}\)x=\(\frac{12}{24}\)x \(\frac{1}{8}\)x=\(\frac{3}{24}\)x \(\frac{1}{4}\)x=\(\frac{6}{24}\)x \(\frac{1}{3}\)x=\(\frac{8}{24}\)x Add all new numerators together
12 +3 +6 +8=29
\(\frac{29}{24}\)x
5. Repeat with the other set of numbers and add together
\(\frac{-5}{2}\)=\(\frac{-60}{24}\) \(\frac{-1}{8}\)=\(\frac{-3}{24}\) \(\frac{-3}{4}\)=\(\frac{-18}{24}\) \(\frac{-4}{3}\)=\(\frac{-32}{24}\) Add all new numerators together
-60+-3+-18+-32= -113
6. Just put all together for your answer
PLEASE HELP ASAP (20 POINTS)
Jim is showing his work in simplifying (−8.5 + 6.1) − 1.3.
Step 1: (6.1 − 8.5) − 1.3
Step 2: 6.1 − (8.5 + 1.3)
Step 3: 6.1 − (9.8)
Step 4: 1.1
Which statement is true?
In step 1, Jim used the associative property.
In step 2, Jim used the distributive property.
In step 3, Jim used the commutative property.
In step 4, Jim's answer is incorrect.
Answer:
In step 1, Jim used the associative property
Step-by-step explanation:
Is the relation represented by the graph a function? Why or why not?
Answer:
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Step-by-step explanation:
in each of problems 6 through 7, use the linearity of the laplace transform to find the laplace transform of the given function; a and b are real constants. 6. f (t) = cohs(bt)
The laplace transform of the given function where a and b are real constants is \(= \frac{s}{s^2-b^2}\).
In each of problems 6 through 7 By using the linearity of the laplace transform.
To find the laplace transform of the given function:
Given f(t) = cosh(bt)
\(= \frac{e^{bt}+e^{-bt}}{2} \\\\L[e^{bt}] = \frac{1}{s-b} \\\\L[e^{bt}] = \frac{1}{s+b} \\\\\\f(s) = \frac{1}{2} [\frac{1}{s-b}+ \frac{1}{s-b} ]\\\\= \frac{1}{2}[\frac{s+b+s-b}{s^2 - b^2} ]\)
By simplifying, we get
\(= \frac{s}{s^2-b^2}\)
Hence the answer is the laplace transform of the given function where a and b are real constants is \(= \frac{s}{s^2-b^2}\).
To learn more about functions click here https://brainly.com/question/25638609
#SPJ4
What is the Answer of this simplified? 2a+4b-11ab-6b
Answer:
2a - 2b - 11ab
Step-by-step explanation:
2a + 4b - 11ab- 6b
subtracting:
4b - 6b(4 - 6)b-2bsimplify like terms by subtracting or adding.
➡️ 2a - 2b - 11ab
What is the answer to (1/2)x-1-4
Answer: X = 2
Step-by-step explanation:
Owen is an alien who only wears fractions of socks at a time. if only 4/5 of owens sock are clean, and he wears 2/5 socks a day, how many days has it been since he washed all his socks? simplify your answer and write it as a proper fraction or as a whole or mixed number
Answer:
\(\dfrac{1}{2}\) day
Step-by-step explanation:
Given that:
Owen who is an alien has only 4/5 of his socks clean.
and he wears 2/5 socks a day.
Out of his total 4/5 clean socks.
It will take him (4/5 ÷ 2/5) days to wash all his socks
i.e
the numbers of days since he washed all his socked is:
= \(\dfrac{4}{5} \div \dfrac{2}{5}\)
= \(\dfrac{4}{5} \times \dfrac{5}{2}\)
= \(\dfrac{1}{2}\)
John borrows $2,500 from his dad, who feels it is best to charge him interest. Six months later, John repays his dad the loan plus interest, a total of $2,588. What is the annual interest rate on the loan?
well, we know that a year has 12 months, so 6 months is really just 6/12 of a year.
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 2588\\ P=\textit{original amount deposited}\dotfill & \$2500\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases}\)
\(2588 = 2500[1+(\frac{r}{100})(\frac{1}{2})] \implies \cfrac{2588}{2500}=1+\cfrac{r}{200}\implies \cfrac{647}{625}=\cfrac{200+r}{200} \\\\\\ \cfrac{(200)(647)}{625}=200+r\implies \cfrac{(200)(647)}{625}-200=r\implies \boxed{7.04=r}\)
A college baseball team ordered 5,400 hats to sell at games. Each box holds 60 hats. How many boxes will the team get?
boxes
Answer:
90 boxes
Step-by-step explanation:
you will have to divide the total amount you have by the groups they will go into. in this case it is 5400/60 = 90
Who ever get this correct for me THANK YOU!!!!! Make sure you put them in ALL CAPS LETTERS PLS and You'll never get points from me Frl(for real) because I'm 9th grader and idk how to do this and it confusing to me so BE SPECIFIC!!!!!!!!
Answer:
DHGB
======================
1. D
-4x + 2y = 8 ⇒ -2x + y = 4 ⇒ y = 2x + 4Parallel line has same slope of 2y = 2x - 52. H
Slope is: (2-4)/(3-(-3)) = -2/6 = -1/3Perpendicular line has negative reciprocal slope: -1/3 → 3 y = 3x - 23. G
Slope is: (2 - (-2))/(0 - (-1)) = 4/1 = 4Parallel line has same lope of 4y = 4x - 74. B
3x + y = 1 ⇒ y = -3x + 1Perpendicular line has negative reciprocal slope: -3 → 1/3y = 1/3x + 2Help guys I really need it
Answer:
yes it does
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
5)
Simplify completely:
3
41
*)
A)
- 127
16
B)
-37
4
4
C)
12
구
alt
다.
Answer:
20
Step-by-step explanation:
12 gallons of gas cost $30. How much will it cost to get an additional 4 gallons of gas?
Answer:
the answer is 40
Step-by-step explanation:
A manager of a deli gathers data about the number of sandwiches sold based on the number of customers who visited the deli over several days. The
table shows the data the manager collects, which can be approximated by a linear function.
Customers
104
70
111
74
170
114
199
133
163
109
131
90
Sandwiches
If, on one day, 178 customers visit the deli, about how many sandwiches should the deli manager anticipate selling?
To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.
By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.
To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.
Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.
After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).
Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.
Learn more about selling here
https://brainly.com/question/29136043
#SPJ11
how many different collections of 60 coins can be chosen if there are at least 60 of each kind of coin?
The number of different collections of 60 coins that can be chosen is:
(60+4-1) choose (4-1) = 63 choose 3 = 22,275
If there are at least 60 of each kind of coin, we can assume that we have four different types of coins, such as quarters, dimes, nickels, and pennies. Let's assume we have x quarters, y dimes, z nickels, and w pennies.
We know that we need to choose a total of 60 coins. Therefore, we have the following equation:
x + y + z + w = 60
We want to find the number of different collections of coins that can be chosen. This is equivalent to finding the number of non-negative integer solutions to the equation above.
Using the stars and bars formula, the number of non-negative integer solutions to this equation is:
(n+k-1) choose (k-1)
where n is the total number of objects (60 in this case) and k is the number of groups we want to divide them into (4 in this case).
So, the number of different collections of 60 coins that can be chosen is:
(60+4-1) choose (4-1) = 63 choose 3 = 22,275
To learn more about equivalent visit:
https://brainly.com/question/14672772
#SPJ11
What is the horizontal asymptote * 1 point?
explain how to graph the circle by hand on the coordinate plane (3 points)
First find the center, then graph all the points that are at a distance of R units from that center.
How to graph a circle by hand?A circle of radius R is the set of all points that are at a distance R from a given point (the center of the circle).
So to graph it, we need to know these two things, radius and center.
Once we do, first we graph the center on the coordinate plane.
Once we find the center, we can find all the poiints that are at a distance of R units from our center, so we need to graph these. Once we do, we will have the graph of our circle on the coordinate plane.
Learn more about circles at:
https://brainly.com/question/1559324
#SPJ4
Suppose we have the workload ( to calculate the sum of 20 scalars, and 30 × 30 matrix sum ) to be done by a multi-processor system consisting of 50 processors with the following workload distribution: One processor has 20% Other 49 share 80% What is the speedup when compared with the single processor system?
The speedup is 1, which means that the multi-processor system with 50 processors does not provide any speedup compared to the single-processor system.
In the single-processor system, the workload is done by a single processor. In the multi-processor system with 50 processors, one processor handles 20% of the workload, and the remaining 49 processors share the remaining 80% of the workload.
To calculate the speedup, we need to compare the time taken by the single-processor system with the time taken by the multi-processor system.
Let's assume that the time taken by the single processor to complete the workload is T_single.
In the multi-processor system, the time taken by the one processor to complete its 20% workload is 0.2 * T_single.
The remaining 80% of the workload is distributed among the other 49 processors. Each processor will handle (80% / 49) of the workload, which is approximately 1.6327% of the total workload.
Since the workload is embarrassingly parallel, each processor can work independently on its portion of the workload.
The total time taken by the multi-processor system is T_multi = 0.2 * T_single + 49 * (0.016327 * T_single) = 0.2 * T_single + 0.8 * T_single = T_single.
Therefore, the speedup of the multi-processor system compared to the single-processor system is:
Speedup = T_single / T_multi = T_single / T_single = 1
To know more about speedup,
https://brainly.com/question/29562688
#SPJ11
Which is the better buy?
A 450 g box of cereal for $4.69 or a 600 g box of cereal for $6.49?
Please show ALL of your work.
hint: convert each to a unit rate using "cost / gram", then compare each to see which is cheaper.
Answer: The first box (the 450 g box for $4.69)
===========================================================
Explanation:
To get the unit cost, we'll divide each price by the weight
The first box has a unit cost of (4.69)/450 = 0.010422 approximately which rounds to 0.01; so this unit cost is approximately $0.01 per gram or 1 cent per gram.
For the second box, its unit cost is (6.49)/600 = 0.0108167 approximately. When we round to the nearest cent, we get the same unit cost as before. Without rounding, we see that the first box has a slightly lower unit cost. Therefore box 1 is the better buy.
On Monday, Ivy rode 15 miles on a bike. On Tuesday, she rode 10 miles. On Wednesday, she rode 2 times farther than she did Monday and Tuesday combined. How many miles has Ivy ridden so far this week?
I think it 75
The total sum of miles ridden by Ivy this week is 75 miles.
What is meant by the sum of a quantity?
A method of combining everything is a sum. The sum creates a new total by adding up two or more numbers.
Given,
Number of miles ridden on Monday = 15 miles
Number of miles ridden on Tuesday = 10 miles
Then,
Number of miles ridden on Wednesday = 2 times the sum of 15 and 10 = 2*(15+10) = 2*25 = 50 miles
Therefore the total sum of miles ridden so far this week
= 15 + 10 + 50 = 75 miles
Hence the total sum of miles ridden by Ivy this week is 75 miles.
To learn more about the sum, follow the link.
https://brainly.com/question/5982761
#SPJ1
1. Solve the following (consistent) system of linear equations. Write your answer in parametric or parametric vector form. (If you find that the system does not have any solutions, then you have an arithmetic error somewhere.) x₁ - 6x₂ - 4x₃ + 10x₄ + 2x₅ = 3
-x₁ + 5x₂ + 3x₃ - 8x₄ - 2x₅ = -3
x₁ - 2x₂ + 2x₄ + x₅ = 4
-x₁ + 7x₂ + 5x₃ - 12x₄ - 2x₅ = -3
For solving, we can use Gaussian elimination. The solution is: x₁ = s, x₂ = t, x₃ = u - (3/2)v, x₄ = v, x₅ = w, where s, t, u, v, and w are real numbers, representing the parametric or parametric vector form of the solution.
The given system of linear equations can be represented in matrix form as AX = B, where A is the coefficient matrix, X is the vector of variables, and B is the vector of constants. Using Gaussian elimination or row reduction, we can transform the augmented matrix [A | B] into row-echelon form or reduced row-echelon form.
Performing the necessary row operations, we obtain the following row-echelon form:
1 -6 -4 10 2 | 3
0 7 7 -18 0 | 0
0 0 -4 6 -1 | 1
0 0 0 0 0 | 0
From the row-echelon form, we can deduce the parametric or parametric vector form of the solution. Assigning parameters to the free variables, we have:
x₁ = s
x₂ = t
x₃ = u - (3/2)v
x₄ = v
x₅ = w
Therefore, the solution to the given system of linear equations is:
x₁ = s
x₂ = t
x₃ = u - (3/2)v
x₄ = v
x₅ = w, where s, t, u, v, and w are real numbers, representing the parametric or parametric vector form of the solution.
Learn more about parametric here:
https://brainly.com/question/28537985
#SPJ11
Please help!!!
What is the probability that either event will occur
The probability that either event will occur is 0.5.
The Formula for the probability that either event A or event B will occur
P(A or B) = P(A) + P(B) - P(A and B)
We have,
P(A) = 9/30 = 0.3
P(B) = 10/30 = 0.3
P(A and B) = the probability of both events A and B occurring = 3/30=0.1
So, the probability that either event will occur
P(A or B) = P(A) + P(B) - P(A and B).
P(A or B) = 0.3 + 0.3 - 0.1
P(A or B) = 0.5
Learn more about Probability here:
https://brainly.com/question/31728296
#SPJ1
The 5 owners of Mei's Restaurant remodeled their business. They bought 6 tables, 48 chairs, and 4 crystal light fixtures. The cost of these purchases was divided equally among the owners. Excluding tax, how much did each owner pay?
Answer:
$391.2 per owner
Step-by-step explanation:
find the total price of the items and divide it by five
The equation of a circle is x^2+ y^2+8x - 10y + 5 = 0
What are the center and the radius of the circle? Show your work.
Step-by-step explanation:
\( {x}^{2} + 8x + {y}^{2} - 10y = - 5\)
Complete the square for the x direction
For the x direction,
\( {x}^{2} + 8x +( \frac{8}{2} ) {}^{2} + {y}^{2} - 10y + ( \frac{ - 10}{2} ) {}^{2} = - 5 + ( \frac{8}{2} ) {}^{2} + ( \frac{ - 10}{2} ) {}^{2} \)
\( {x}^{2} + 8x + 16 + {y}^{2} - 10y + 25 = - 5 + 16 + 25\)
\((x + 4) {}^{2} + (y - 5) {}^{2} = 36\)
The center is (-4,5) with a radius of 6.
28, 46, 25, 76,18,25, 47,83, 44
median:
first quartile:
third quartile:
interquartile range:
Answer:
median: 44
first quartile: 25
third quartile: 61.5
interquartile range: 36.5
what is the mode of the following data: 47 republicans, 49 democrats, and 52 independents?
Answer:
There is no mode for the following data.
Step-by-step explanation:
This is because the mode is the value which occurs most frequently in a data set. yet there is not a piece of data that appears the most frequently.
The mode of this data set is the Independents.
The mode is a statistical term that refers to the value that appears most frequently in a data set. In this case, you have provided data on the number of Republicans, Democrats, and Independents. There are 47 Republicans, 49 Democrats, and 52 Independents.
To determine the mode, we simply look for the highest count among the three groups. In this case, we can see that the group with the highest count is the Independents with a count of 52.
Therefore, the mode of this data set is the Independents. This tells us that Independents are the most frequent group in this particular data set. Remember, the mode is just one way to describe the central tendency of data and should be considered alongside other measures like the mean and median for a more comprehensive understanding of the data distribution.
To learn more about median click here
brainly.com/question/30891252
#SPJ11