Answer:
x = (6 i)/5 or x = -(6 i)/5
Step-by-step explanation:
Solve for x:
25 x^2 + 36 = 0
Subtract 36 from both sides:
25 x^2 = -36
Divide both sides by 25:
x^2 = -36/25
Take the square root of both sides:
Answer: x = (6 i)/5 or x = -(6 i)/5
9 Fill in: is, are, was or were.
1 The house ...
earthquake last week.
destroyed by the
Answer:
was
Step-by-step explanation:
lol
a type of green paint is made by mixing 2 cups of yellow with 3.5
find a mixture that will make the same shade of green but a smaller amount
find a mixture that will make the same shade of green but a larger amount
find a mixture that will make the different shade of green that is bluer
find a mixture that will make the different shade of green that is more yellow
Answer:
Anything with 2 Yellow and more than 3.5 Blue
Step-by-step explanation:
The answer is pretty obvious, but I will give a more mathimatical explanation that is easy to understand. The ratio is saying that for every 2 units of yellow, there are 3.5 units of blue. You can find ratios that are the same but use more/ less amounts. So if you use 4 units of yellow and 7 of blue it is the same ratio.
If you multiply both parts of the ratio (or divide) by the same number you will always get the same ratio. So if you want something more blue (or yellow) you just have to keep one the same while increasing the one you want to have more effect.
Can someone help please (‘:
Answer:
exponent is -3, ceofficiant is 4
(d)
A total of 620 tickets were sold for the school play. They were either adult tickets or student tickets. There were 70 more student tickets sold than adult tickets.
How many adult tickets were sold?
Answer:
22
Step-by-step explanation:
Answer:
There were 240 adult tickets sold and 380 student tickets sold.
Step-by-step explanation:
How did I get this?
First, I divided 620 by 2. You get 310. Then I subtract 70 by on of the 310's. You get 240. I take that 70 that I subtracted and add it to the other 310, you get 380. (This may sound confusing so I will write it out)
620/2= 310
310-70= 240 adult tickets
310+70=380 student tickets
Approximately 72% of the U.S. population recycles. According to a green survey of a random sample of 250 college students, 182 said that they recycled. Akz - 0.10, Is there sufficient evidence to conclude that the proportion of college students who recycle is greater than 72%? Use a graphing calculator. Part 1 out of 4 State the hypotheses and identify the claim with the correct hypothesis. (select) H,:P (select) H:p (select) (select) The hypothesis test is a (select) test.
The hypothesis test is a one-tailed test, since we are testing for a specific direction (greater than 72%).
What is hypothesis?An assumption is said to as a hypothesis when it is supported by evidence. Any investigation that turns the research questions into predictions must start here. Variables, the population, and the relationships between the variables are among its constituent parts.
The hypotheses for the test are:
H0: p = 0.72 (null hypothesis)
Ha: p > 0.72 (alternative hypothesis)
The claim is that the proportion of college students who recycle is greater than 72%, which corresponds to the alternative hypothesis.
The hypothesis test is a one-tailed test, since we are testing for a specific direction (greater than 72%).
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5 The distance of Saafi's home to the masjid is 2.2 km. If Saafi offers all his 5 prayers regularly, how much distance does he cover every day from the masjid to home and home to the masjid? Estimate the answer to check its reasonableness.
Sajid covers a distance of 11km from the masjid to home and again a distance of 11km from home to the masjid. So, the total distance becomes 22km.
To calculate the total distance Saafi covers every day from his home to the masjid and back, we need to consider the round trip distance for each prayer. Since Saafi offers all 5 prayers regularly, he would make 5 round trips between his home and the masjid daily.
Round trip distance for each prayer = 2 * 2.2 = 4.4km
Total distance covered in a day = 5 * 4.4 = 22km
Therefore, Saafi covers approximately 22 km every day going from his home to the masjid and back.
To check the reasonableness of the calculated distance, let's assume Saafi walks at a speed of 4km/hr, then he would take 5.5 hrs to cover the distance. This suggests the need for additional information as this distance and time taken might be more for daily routine.
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After a series of rainy days, a meteorologist wants to compare the average daily rainfall over the past week between two cities. The daily rainfall totals, in inches, for both cities are given below.
City A = 1.6, 3.8, 2.2, 0.4, 3.4, 2.6, 1.5
City B = 1.2, 4.5, 0.9, 3.6, 2.1, 1.1, 1.3
Which of the following statements are true regarding the data sets above?
I. The mean rainfall of city A is greater than the mean rainfall of city B.
II. The median rainfall of city B is half the median rainfall of city A.
III. The range of rainfall amounts for city A is greater than the range of rainfall amounts for city B.
IV. The median rainfall is less than the mean rainfall for both cities.
II and III
I and III
I and IV
II and IV
Answer:
I and IV
Step-by-step explanation:
Answer:
I and IV
Step-by-step explanation:
In order to compare the two data sets with the given statements, find the mean, median, and range for each data set.
First, to compare the mean rainfall of the two cities, find the average of each city's inches of rainfall. To find the average, add up the data points and divide by the total number of points, which is 7.
Since the mean of city A is 2.21 and the mean of city B is 2.1, the mean rainfall of city A is greater than the mean rainfall of city B.
Next, determine the median rainfall for each city. To find the median of the data sets, list the data in order of least to greatest and find the middle term.
Hence, the median of city A is 2.2 and the median of city B is 1.3, so the median rainfall of city B is not half the median rainfall of city A.
In order to compare the ranges of rainfall, find the difference between the minimum and the maximum rainfall amounts for each city.
So, the range of rainfall amounts for city A is less than the range of rainfall amounts for city B.
Therefore, the statements which are true regarding the given data sets are I and IV.
What are the measures of angles b and d? ∠b = 55°; ∠d = 55° ∠b = 55°; ∠d = 125° ∠b = 97°; ∠d = 97° ∠b = 83°; ∠d = 97°
In parallelogram ABCD, ∠b = 55°; ∠d = 55. So, the correct answer is (a).
We know that opposite angles of a parallelogram are congruent. In another words, opposite angles of parallelogram are equal. Therefore, we equate the angle B and angle D to each other and solve.
angle B = angle D
2n + 15 = 3n - 15
n = 30
The value of n is 30.
Now we can find the measures of angles B and D:
angle B = 2n + 15 = 2(30) + 15 = 75 degrees
angle D = 3n - 15 = 3(30) - 15 = 75 degrees
Therefore, the answer is (a) ∠b = 55°; ∠d = 55
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____The given question is incomplete, the complete question is given below:
In parallelogram ABCD measure of angle b is 2n+15 and angle d is 3n - 15. What are the measures of angles b and d? a)∠b = 55°; ∠d = 55° b) ∠b = 55°; ∠d = 125° c) ∠b = 97°; ∠d = 97° d)∠b = 83°; ∠d = 97°
Answer:
The Answer is A
Step-by-step explanation:
I just took the test! 2023Edg
y= - 2x + 4
2x + y = 4
Answer:
Infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = -2x + 4
2x + y = 4
Step 2: Solve for x
Substitution
Substitute in y: 2x + (-2x + 4) = 4Combine like terms: 4 = 4Here we see that 4 does indeed equal 4.
∴ the systems of equations has an infinite amount of solutions.
Answer:
Infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Equality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Algebra I
Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination
Step-by-step explanation:
Step 1: Define Systems
y = -2x + 4
2x + y = 4
Step 2: Solve for x
Substitution
Substitute in y: 2x + (-2x + 4) = 4
Combine like terms: 4 = 4
Here we see that 4 does indeed equal 4.
∴ the systems of equations has an infinite amount of solutions.
select the range i12:i14 and simultaneously insert the frequency function in all of the cells to determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14. divide the function by the number of records in the data to calculate the results as percentages.
We can select the range i12:i14 and simultaneously insert the frequency function in all of the cells to determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 This can be answered by the concept of Percentage.
To determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 and calculate the results as percentages, we need to select the range i12:i14 and insert the frequency function in all of the cells.
To follow the steps mentioned in the question, we need to perform the following:
Select the range i12:i14 by clicking on cell i12, dragging down to cell i14 while holding down the left mouse button.
Click on the formula bar at the top of the screen and type the following formula: "=FREQUENCY(Data!D2:D100,H12:H14)/COUNT(Data!D2:D100)*100". Here, "Data!D2:D100" is the range of data where the milestone goals are recorded, and "H12:H14" is the range of criteria we want to use to determine whether an employee has reached their milestone goal.
Press "Ctrl+Shift+Enter" to enter the formula as an array formula. This will insert the frequency function in all of the cells in the selected range.
The results will be displayed as percentages, which can be formatted using the percentage format option in the "Home" tab.
Therefore, by following these steps, we can select the range i12:i14 and simultaneously insert the frequency function in all of the cells to determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 and calculate the results as percentages.
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in training to run a half marathon, jenny ran 2/5 hours on tuesday, 1 1/6 hours on thursday, and 2 1/15 on Saturday. what is the total amount of hours that jenny ran this week? (simplify your answer and state it as a MIXED NUMBER)
9514 1404 393
Answer:
3 19/30 hours
Step-by-step explanation:
The given fractions will have 30 as a common denominator.
12/30 + 1 5/30 + 2 2/30 = (1 +2) +(12 +5 +2)/30 = 3 19/30 . . . hours
Jenny ran 3 19/30 hours this week.
Answer:
Step-by-step explanation:
Total hours that Jenny ran = 3.63 hours.
Step-by-step explanation:
Jenny ran on Tuesday for = 2/5 hours or 0.4 hours.
Time consumed to run on Thursday = 11/6 hours or 1.83 hours.
Time consumed to run on Saturday = 21/ 15 hours or 1.4 hours.
Here, the total hours can be calculated by just adding all the running hours. So the running hours of Tuesday, Thursday, and Saturday will be added to find the total hours.
Total hours that Jenny ran = 0.4 + 1.83 + 1.4 = 3.63 hours.
SV is a midsegment of △RTU.
If TU=y+38 and SV=y–9, what is the value of y?
Answer:
y = 56
Step-by-step explanation:
the midsegment SV is half the length of the side TU , that is
y - 9 = \(\frac{1}{2}\) (y + 38) ← multiply both sides by 2 to clear the fraction
2y - 18 = y + 38 ( subtract y from both sides )
y - 18 = 38 ( add 18 to both sides )
y = 56
the probability that interest rates on housing loans will go up in the next 6 months is estimated to be 0.20. the probability that house sales will decrease is estimated to be 0.6. the probability that interest rates will go up and house sales will decrease is estimated to be 0.15. the probability of an increase in interest rates and not a decrease in house sales is:
If the probability that interest rates will go up and house sales will decrease is estimated to be 0.15, the probability of an increase in interest rates and not a decrease in house sales is 0.05.
To find the probability of an increase in interest rates and not a decrease in house sales, we can use the formula for conditional probability:
P(Interest rates increase and house sales don't decrease) = P(Interest rates increase) - P(Interest rates increase and house sales decrease)
We are given that the probability of interest rates on housing loans going up in the next 6 months is 0.20, and the probability of house sales decreasing is 0.6. We are also given that the probability of interest rates going up and house sales decreasing is 0.15.
To find the probability of interest rates going up and not house sales decreasing, we subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up:
P(Interest rates increase and house sales don't decrease) = 0.20 - 0.15 = 0.05
In summary, we can use conditional probability to calculate the probability of an increase in interest rates and not a decrease in house sales.
Given the probabilities of interest rates going up and house sales decreasing, we can subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up to find the probability of interest rates going up and not house sales decreasing.
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If z2 is directly proportional to x3 and z=8 when x=4,find the values of z when x=9
If If z² is directly proportional to x³ and z=8 when x=4 then value of z is 27
If z² is directly proportional to x³, then we can write:
z² = kx³
where k is the constant of proportionality.
To solve for k, we can use the given information that z=8 when x=4:
8² = k(4³)
64 = 64k
k = 1
So now we have:
z²= x³
To find the value of z when x=9, we can substitute into the equation:
z² = 9³ = 729
Taking the square root of both sides, we get:
z = ±27
z = 27
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Tom went on a bike ride to the store 3 miles away. If it took Tom 12 of an hour to get there and 23 of an hour to get back, what was his average rate of speed (miles per hour) for the entire trip?
Answer: 0.1714 miles / hour
Step-by-step explanation:
Given the following :
Distance to the store = 3 miles
Time taken to get to store = 12 hours
Time taken to return = 23 hours
The average rate of speed for the trip =?
Average Speed = total distance traveled / total time taken
Total distance traveled = 2 × 3 miles = 6 miles
Total time taken = 12 + 23 = 35 hours
Average speed = 6 miles / 35 hours
Average speed = 0.1714 miles / hour
Answer:
0.1714 mph
5.14 mph
Step-by-step explanation:
between which pair of decimals should 4/7 be placed on a number line
o 0.3 and 0.4
o 0.4 and 0.5
o 0.5 and 0.6
o 0.6 and 0.7
To determine the pair of decimals between which 4/7 should be placed on a number line, we will convert 4/7 into a decimal.
We can do that by dividing 4 by 7 using a calculator or by long division method: `4 ÷ 7 = 0.5714...`.Hence, 4/7 as a decimal is 0.5714. To determine the pair of decimals between which 0.5714 should be placed on a number line, we can examine the given options.
Notice that option B is the most suitable. The number line below illustrates the correct position of 4/7 between 0.4 and 0.5:. Therefore, between the pair of decimals 0.4 and 0.5 should 4/7 be placed on a number line.
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0.5 and 0.6 are pair of decimals where 4/7 be placed on a number line.
To determine between which pair of decimals 4/7 should be placed on a number line, we need to find the approximate decimal value of 4/7.
Dividing 4 by 7, we get:
4/7
= 0.571428571...
Rounding this decimal to the nearest hundredth, we have:
=0.57
Since 0.57 is greater than 0.5 and less than 0.6, the correct pair of decimals between which 4/7 should be placed on a number line is 0.5 and 0.6.
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Additive Inverses are numbers that add to make-101/11
The aditive inverse of a number is given by itself multiplied by -1. Then if we have any number x its additive inverse is -x and their sum is:
\(x-x=0\text{ for all values of x}\)Then theanswer is the second option, 0.
Lebron James wants to rent a truck for one day. He contacted two companies. Laguna's
Truck Rentals charges $20 plus $2 per mile. Salvatori's Truck Rentals charges $3 per mile.
After how many miles will the total cost for both companies be the same?
Answer:
20 miles.
Explanation:
2x + 20 = 3x
x = miles driven
The left side of the equation represents Laguna's, and the right side Salvatori's.
You can multiply the miles driven by their price per mile. This gives you (2x) on the left, for Laguna's $2 per mile, and (3x) for Salvatori's $3 per mile.
The (+20) represents the initial payment for Laguna's, but Salvatori's doesn't have this, so we can leave it out.
Finally, eliminate.
Subtract 2x from 3x on the right. This leaves you with 20 = 1x.
terracE baked 15 cookies he gave 6 to his sister what percentage of the cookies did he give his sister
Answer:
40%
Step-by-step explanation:
6 is 40% of 15
Hello! Please help me. Huhu
Those activities that enable a person to describe in the detail the system that solves the need is called?
Those activities that enable a person to describe in the detail the system that solves the need is called "System design".
What is a system design?The method of defining the components of a system consists, modules, and components, the various interfaces of those components, and the data that flows through that system is known as system design.
Some key features regarding the system design are-
It is intended to meet unique objectives and needs of a company or group by creating a cohesive and well-functioning system.The systematic approach to system design is implied by the term systems design. It may take a bottom-up as well as top-down approach, but in either case, the process is systematic in that it considers all associated factors of the system that must be created—from the architecture to the necessary hardware and software, all the way down to the data and in how it travels as well as transforms throughout its journey through the system.To know more about the system design, here
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whoever answers first will get brainliest
Answer:
y = 2x + 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x50=100
2x30=60
100x2=200
Find the number of possible choices for 4 sandwiches, 3 drinks, and 2 desserts
Answer:
sandwiches n[S]=4
drinksn[D]=3
desserts[d]=2
total n[T]=9
number of possible choices for:
4 sandwiches=n[S]/n[T]=4/9
For
3 drinks=n[D]/n[T]=3/9=1/3
and
For 2 desserts=n[d]/n[T]=2/9
A new water park was designed to contain two circular pools. Pool A has a diameter of 60 m, and pool B has a diameter of 80 m. a) If the designer wants to outline the pools with rope lights, how many meters will be needed to outline the smaller pool? (Use 3.14 for π.)
Answer:
140
Step-by-step explanation:
60+80=?......All you need to do is just add 60 and 80 and get the product
I hope that helped.
i need help i dont understand how to solve
By using the concept of depreciation, it can be calculated that
Value of x is 3.6%
What is depreciation?
Depreciation is the exponential decrease in the value of an asset or population or cost of an article at a certain rate over a certain period of time.
Now opposite of depreciation is growth.
Growth is the exponential increase in the value of an asset or population or cost of an article at a certain rate over a certain period of time.
Here concept of depreciation has been used
Number of deer in 2005 = 1480
Rate = x%
Time = 7 years
Number of deer after 7 years = 1141
\(1141 = 1480(1-\frac{x}{100})^7\\(1 - \frac{x}{100})^7 = \frac{1141}{1480}\\(1-\frac{x}{100}) = (\frac{1141}{1480})^{\frac{1}{7}}\\1 - \frac{x}{100} = 0.964\\\frac{x}{100} = 1 - 0.964\\\frac{x}{100} = 0.036\\x = 0.036 \times 100\\\)
x = 3.6 %
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what is
1/6 (12x - 24) + 2x
Find each unit rate. Round to the nearest hundredth if necessary.
144 miles on 4.5 gallons
what is the best big-o function for the worst case scenario analysis of a linar search of a list of size n (counting the number of comparisons)?
Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.
Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.
You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram
After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.
Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?
In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.
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Samantha has two anthills in her yard. The first anthill has 982 ants. The second anthill has one and one-third the amount of ants of the first hill. Which statement correctly compares the two anthills? The first anthill is one and one-third times as many than the second anthill. The first anthill is equal in size to the second anthill. The second anthill is one and one-third times as many than the first anthill. The second anthill is one and one-third times fewer ants than the first anthill. ( ANSWER ASAP 100 POINTS!!)
Answer:
C
Step-by-step explanation:
The problem states:
"The second anthill has one and one-third the amount of ants of the first hill."
Answer: C
find the matrix a' for t relative to the basis b'. t: r2 → r2, t(x, y) = (−8x y, 8x − y), b' = {(1, −1), (−1, 5)}
The matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).
\(\textbf{To find the matrix of } t \textbf{ relative to the basis } b', \textbf{we have to follow some steps. The steps are described below:}\)
First, we have to find the images of basis vectors under the transformation \(t\). \(t(-1,1) = (-9,7)\) and \(t(1,-5) = (-37,43)\).
Represent the image vectors of the basis in the standard basis. We use these vectors as columns in the matrix of \(t\) in the basis \(b'\).
\((-9,7) = -9(1,0) + 7(0,1) = (-9,7) = -9(-1,1) + 7(1,-5)\)
\((-37,43) = -37(1,0) + 43(0,1) = (-37,43) = -37(-1,1) + 43(1,-5)\)
Hence, we can write the following equation: \(A[x]_{b'} = [x]_S\)
Where \(A[x]_{b'}\) is the main answer in the form of a matrix, and \([x]_S\) is the coordinate of \([x]_{b'}\) with respect to the standard basis.
Now, we will write the equations with the coordinates of the basis vectors of \(b'\).
\(A[1,0] = [-9, -37]\) and \(A[0,1] = [7, 43]\)
Now we will write the matrix of \(A\) as follows:
\(A = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\)
Thus, the matrix of \(t\) relative to the basis \(b'\) is \(A' = \begin{bmatrix} -9 & 7 \\ -37 & 43 \end{bmatrix}\).
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