well, 9000 - 4000 = 5000. If we take 9000 to be the 100%, how much in percent is 5000 off of it?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 9000&100\\ 5000&x \end{array}\implies \cfrac{9000}{5000}=\cfrac{100}{x}\implies \cfrac{9}{5}=\cfrac{100}{x} \\\\\\ 9x=500\implies x=\cfrac{500}{9}\implies x=55.\overline{555}\implies \stackrel{\textit{rounded up}}{x\approx 55.6}\)
The impact of two inputs on the output of interest is given by a
A. Goal Seek
B. Watch Window
C. one-way data table
D. two-way data table
Answer:
A this is the answer, please choose this answer
Tanya wants to test the theory that the exterior angles of a
triangle add up to 360°. She draws triangle ABC and finds all
the angles in the triangle.
PLEASE HELP!!
Answer:
\(f + e + d = 360^o\)
Step-by-step explanation:
The question is incomplete, as what is required is not stated and the triangle is not given.
So, I will solve generally.
The proof is as follows (see attachment for triangle)
From the attachment, we have:
\(a + f = 180\)
\(b + e = 180\)
\(c + d = 180\)
Make f, e and d the subject
\(f = 180 - a\)
\(e = 180 - b\)
\(d = 180 - c\)
Add up the equations
\(f + e + d = 180 -a + 180 - b + 180- c\)
Collect like terms
\(f + e + d = 180 + 180+ 180-a- b - c\)
\(f + e + d = 540-a- b - c\)
We have:
\(f + e + d = 540-(a+ b + c)\)
\(a + b + c \to 180\) --- angles in a triangle
So, we have:
\(f + e + d = 540-180\)
\(f + e + d = 360^o\) --- proved
WILL GIVE BRAINEST!!! PLEASE HELP
Answer:
1.) The point (24,30) would not be on the line
2.) The point (12,13) would not be on the line either
4.) The slope is a fraction of 2/1
Bonus: y = (2/1)x - 2
Step-by-step explanation:
For question three, I looked at the (6,10) point on the graph and compared it with the (a,8) point. That showed me that the y coordinate always moves by 2. Then I looked at the (6,10) coordinate and the (a,8) coordinate and the (4,b) coordinate and saw that there was one x coordinate between 6 and 4 so it must be five. That means the x coordinate moves by 1.
Let me know if you need more help!
:)
Graph the line
Y=-2x-5
Step-by-step explanation:
I hope this helps you answer your questions about graphing the line.
11. A diver jumps from a platform. The situation is best modeled by
h=-9t² + 15t+7, where h is the height of the diver above water in meters and t is the time in
seconds. How long will it take for the diver to hit the water? Round to the nearest hundredth
Answer:
2.05 secs
Step-by-step explanation:
we will use quadratic formula to work out the time t.
t = ((-b ± √(b² - 4ac)) ÷ 2a)
where a is the value of the first coefficient, b is value of the second and c is value of the constant.
h = -9t² + 15t + 7
we need water level, so h = 0.
-9t² + 15t + 7 = 0
a = -9, b = 15, c = 7.
t = ((-b ± √(b² - 4ac)) ÷ 2a)
= ((-(15) ± √((15)² - 4(-9)(7))) ÷ 2(-9))
= ((-15 ± √(225 - -252)) ÷ -18)
= ((-15 ± √(225 + 252)) ÷ -18)
= ((-15 ± √(477)) ÷ -18)
= -0.380 or 2.05
t is time, so it has to be positive.
t = 2.05 seconds to nearest one hundredth
problem 3: global destination in this problem: use the algorithms from class, such as dfs, bfs, dijkstras, connected components, etc., as a black-box subroutine for your algorithm; see the instructions on the front page. make sure to explain your algorithm in words. let g
DFS can be used because the graph is directed and all of the edge weights are positive.
What is Algorithms?
An algorithm is a process used to carry out a computation or solve a problem. In either hardware-based or software-based routines, algorithms function as a detailed sequence of instructions that carry out predetermined operations sequentially. All aspects of IT employ algorithms extensively.
Steps can be taken. There may be a path from v to z* but not from z* to v or different from each with different weights, so we just need to apply DFS, dijkstras twice, starting with vertex v, to find the path length until z*. Then we need to add the path weights.
The problem is clear in that we need to find path weight from v to z* and z* to v. There may be more than one path that leads from v to z*, thus we must locate them all and store some of them because each loop will require a time complexity of O(V+E).
where, in the given graph, E stands for edges and V for vertex. When a graph is complete, meaning there is a path connecting every vertex to every other vertex, we must execute this technique V times to determine the total number of paths. As a result, the time complexity is O(V(V+E)).
Then we must repeat the process from z* to v, but this time we must choose every path whose weights satisfy the specified condition. In the worst case, we must repeat this process (V-1) times, thus the time complexity will be the same as before. As a result, our time complexity will be O(V(V+E)) overall.
Since the graph is directed and every edge weight is positive, DFS may be used.
For detail question see attachment
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Please answer this correctly
Answer:
Raspberry: 30%
Strawberry: 15%
Apple: 20%
Lemon: 35%
Step-by-step explanation:
18 + 9 + 12 + 21 = 60 (there are 60 gummy worms)
18 out of 60 = 30%
9 out of 60 = 15%
12 out of 60 = 20%
21 out of 60 = 35%
Please mark Brainliest
Hope this helps
Answer:
Raspberry Worms: 30%
Strawberry Worms: 15%
Apple Worms: 20%
Lemon Worms: 35%
Step-by-step explanation:
Raspberry Worms: \(\frac{18}{18+9+12+21}=\frac{18}{60}=\frac{30}{100}\) or 30%
Strawberry Worms: \(\frac{9}{18+9+12+21}=\frac{9}{60} =\frac{15}{100}\) or 15%
Apple Worms: \(\frac{12}{18+9+12+21} =\frac{12}{60} =\frac{20}{100}\) or 20%
Lemon Worms: \(\frac{21}{18+9+12+21} =\frac{21}{60} =\frac{35}{100}\) or 35%
What are the transformations of y=4^x+2 - 6
Donna DePaul is raising money for the homeless. She discovers that every church group requires two hours of letter writing and one hour follow up while every labor union. She needs two hours of letter writing in three hours to follow up. Donna can raise $125 from each church group and $200 from each union local and she has a maximum of 20 hours of letter writing in a box mama 14 hours a follow up available per month determine the most profitable mixture of groups she should contact in the most money she can raise in a month.
a) 2 letters to church and 4 letters to union
b) $ 1000
what is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given data:
Letter writing time for church = 2 hours
Follow up required for church = 1 hour
Letter writing time for labor union = 2 hours
Follow up required for labor union = 3 hour
Funds from church = $ 100
Funds from union = $ 200
now, let 'x' be the number of letters written to church
and let 'y' be the number of letters written to labor union
According to the given conditions
maximum timing for letter writing = 12 hours
So,
2x + 2y ≤ 12 hours
x + y ≤ 6 hours
Now, maximum time for follow up = 14 hours
1x + 3y ≤ 14 hours
on solving the both the equations
x + y = 6
- ( 1x + 3y = 14 )
----------------------
0 - 2y = -8
y = 4 hours
and, x + 4 = 6
x = 2
Now,
money raised = (2 × $ 100) + (4 × $ 200)
= $ 1000
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Write and solve a proposition that the teacher can use to estimate how many students in the whole school would choose the aquarium.
Answer:
Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:
Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100
We can plug in the values we know:
80 / x = p / 100
where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.
We can solve for "x" by cross-multiplying and simplifying:
8000 = px
x = 8000 / p
Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:
(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction
This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:
p / 100 = 80 / 210
p = 38.1
So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:
80 / x = 38.1 / 100
Cross-multiplying and solving for "x", we get:
x = 209.71
Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.
Step-by-step explanation:
Answer:
The teacher surveyed a total of:
80 + 60 + 30 + 40 = 210 students.
If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.
The relative frequency of students choosing the aquarium in the sample is:
80/210 = 0.38
This means that approximately 38% of the students in the sample chose the aquarium.
To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:
0.38 x 1000 = 380
Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.
What is the circonference
Answer:
2 times pi times the radius
Step-by-step explanation:
Assume that y varies directly with x, then solve. No need to show work.
Solution:
Given:
\(y\propto x\)Introducing the constant of proportionality (k),
\(y=kx\)Substitute y = 12 and x = 15
\(\begin{gathered} 12=15\times k \\ 12=15k \\ \frac{12}{15}=k \\ k=\frac{12}{15} \end{gathered}\)Hence, the relationship is;
\(y=\frac{12}{15}x\)Find x when y = 21
\(\begin{gathered} 21=\frac{12}{15}x \\ 21=\frac{12x}{15} \\ Cross\text{ multiply;} \\ 12x=21\times15 \\ 12x=315 \\ x=\frac{315}{12} \\ x=\frac{105}{4} \end{gathered}\)Therefore,
\(x=\frac{105}{4}\)You are starting your first job as a salesperson at a clothing store. You receive a base salary of $10.00 per hour with time-and-a half for hours in excess of 40 hours per week. You also receive a 3% commission on your total sales.
Calculate your paycheck if you work 40 hours both weeks, plus you sell $3,000 worth of merchandise.
a
800
b
830
c
890
d
970
The paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.
How is the paycheck calculated?The paycheck can be computed by working out the base salary, overtime pay if any, and the sales commission separately and adding up these.
Some deductions (withholding taxes and insurance) are made to the gross pay to arrive at the paycheck, which is known as the net pay.
Data and Calculations:Base salary = $10.00 per hour
Overtime pay = 1.5 of the base salary per hour
Work week = 40 hours
Commission on total sales = 3%
Sales for a month = $3,000
Commission on $3,000 sales = $900 ($3,000 x 3%)
Base salary for two weeks = $800 ($10 x 40 x 2)
Paycheck = $890 ($800 + $900)
Thus, the paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.
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A cardboard box manufacturing company is building boxes with length represented by x + 1 width by 5-x and height by x-1
The volume of the cardboard box with given dimensions changes at the fastest average rate over the interval of option c. [1,5].
Length of the cardboard box = x + 1
Width of the cardboard box = 5 - x
Height of the cardboard box = x - 1
Volume of the box V (x) = length × width × height
Substitute the values we have,
V(x) = (x+1)(5-x)(x-1)
Expanding this expression gives,
V(x) = -x³ + 5x² + x - 5
To know where Volume is changing at the fastest average rate,
Find the maximum value of the absolute value of the derivative of V(x) over each of the given intervals.
Taking the derivative of V(x), we get,
V'(x) = -3x²+ 10x + 1
Taking the absolute value of this expression, we get,
|V'(x)| = 3x² - 10x - 1
Now, we can calculate the maximum value of |V'(x)| over each interval,
At [1,2]
|V'(1)| = 8
|V'(2)| = 9
[1,3.5]
|V'(1)| = 8
|V'(3.5)| = 0.75
[1,5]
|V'(1)| = 1
|V'(5)| = 24
[0,3.5]
|V'(0)| = 1
|V'(3.5)| = 0.75
The maximum value of |V'(x)| occurs on interval [1,5].
Therefore, the volume of the box is changing at the fastest average rate over the interval option c . [1,5].
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The above question is incomplete, the complete question is:
A cardboard box manufacturing company is building boxes with length represented by x + 1, width by 5 − x, and height by x − 1. the volume of the box is modeled by the function below. over which interval is the volume of the box changing at the fastest average rate?
a. [1,2]
b. [1,3.5]
c. [1,5]
d. [0,3.5]
find the expected value of the winnings from a game that has the following payout I cannot proceed without your help :)
The expected value of the winnings from the game is $3.24.
To find the expected value of the winnings, we multiply each possible payout by its corresponding probability and sum them up.
Expected Value = (2 x 0.64) + (4 x 0.18) + (6 x 0.12) + (8 x 0.04) + (10 x 0.02)
Expected Value = 1.28 + 0.72 + 0.72 + 0.32 + 0.20
Expected Value = 3.24
Therefore, the expected value of the winnings from the game is $3.24.
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Find the rank of the matrix [
2 − 1 − 3 − 1
1 2 3 − 1
1 0 1 1
0 1 1 − 1
]
The rank of the matrix is 3, since there are three linearly independent rows.
The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.
To find the rank of the matrix:
[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]
We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.
\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)
This gives us the following matrix:
[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]
We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.
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Review the simple interest rate based on FICO scores to answer the question:
FICO Score Simple Interest Rate
800–850 5.295%
740–799 6.597%
670–739 9.132%
580–669 10.358%
300–579 14.313%
Kamryn plans to borrow $13,250.00 with a simple interest rate loan. Determine the amount of interest Kamryn will save if she is able to raise her credit score from 665 to 680.
Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.
According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.
Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.
Interest = Principal * Rate
= $13,250.00 * 0.10358
≈ $1,370.56
Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.
Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.
Calculating the interest with a credit score of 680:
Interest = Principal * Rate
= $13,250.00 * 0.09132
≈ $1,210.57
Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.
Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
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Nadia has $1.35 in nickels. How many nickels
does she have?
Answer:
27 Nickels
Step-by-step explanation:
Divide 1.35 by 0.05
= 27
Ruth has pennies and dimes in her pocket. The number of dimes is twelve less than twice the number of pennies. Let p represent the number of pennies. Write an expression for the number of dimes.
cuales son los divisores de 12
Answer:
1, 2, 3, 4, 6, 12
Step-by-step explanation:
Answer:
1,2,3,4,5,6,12 esos son
What operation would you use to solve x/4=20?
addition
subtraction
multiplication
division
Answer:
Multiplication
Step-by-step explanation:
x=20•4
x=80
Answer:
Multiplication
Step-by-step explanation:
x/4= 20
4*x/4=(4)20
(by multiplyng by 4 on both sides, cancels the divsion in x/4)
x=80
Consider the function.
Which conclusions can be drawn about f–1(x)? Select two options.
f–1(x) has a slope of .
f–1(x) has a restricted domain.
f–1(x) has a y-intercept of (0, –36).
f–1(x) has an x-intercept of (–36, 0).
f–1(x) has a range of all real numbers.
The statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The question is: Consider the function f(x) = (-2/3)x - 24 Which conclusions can be drawn about f⁻¹(x) Select two options:
f⁻¹(x) has a slope of -2/3
f⁻¹(x) has a restricted domain.
f⁻¹(x) has a y-intercept of (0, –36).
f⁻¹(x) has an x-intercept of (–36, 0).
f⁻¹(x) has a range of all real numbers.
f(x) = (-2/3)x - 24
To find the inverse of a function:
interchange the x and y
x = (-2/3)y - 24
y = (-3/2)(x + 24)
y = (-3/2)x - 36
The slope of a function f⁻¹(x) is -3/2
From the graph, we can see the y-intercept is (0, -36) and the range will be all real numbers.
Thus, the statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.
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Answer:
D and E
Step-by-step explanation:
did the test
Que tiempo emplea un carro que viaja a 420km/h para recorrer una distancia de 120km
El carro tarda aproximadamente 0.29 horas o 17.4 minutos en recorrer una distancia de 120 km a una velocidad de 420 km/h.
Para calcular el tiempo que emplea un carro que viaja a una velocidad constante de 420km/h para recorrer una distancia de 120km, podemos utilizar la fórmula de la velocidad promedio, que es distancia dividida por el tiempo.
Despejando el tiempo, obtenemos que el tiempo es igual a la distancia dividida por la velocidad, es decir:
tiempo = distancia / velocidad
Sustituyendo los valores, tenemos:
tiempo = 120km / 420km/h
Realizando la división, obtenemos:
tiempo = 0.2857 horas
Podemos convertir esto a minutos multiplicando por 60, lo que nos da:
tiempo = 17.14 minutos
Por lo tanto, el carro tarda aproximadamente 17 minutos y 8 segundos en recorrer una distancia de 120km a una velocidad constante de 420km/h.
Hola, para calcular el tiempo que emplea un carro en recorrer una distancia de 120 km a una velocidad de 420 km/h, debes utilizar la fórmula:
Tiempo = Distancia / Velocidad
En este caso:
Tiempo = 120 km / 420 km/h = 0.2857 horas
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Suppose four treatments are being compared with an ANOVA F test at the 5% level for equality of means. There are 6 replicate within each treatment. How many confidence intervals or hypothesis tests would need to be done to make significance statements for each pair-wise comparison? O 2 O 4 O 6O 8O 15
Six (6) confidence intervals or hypothesis tests would need to be done to make significant statements for each pair-wise comparison.
In an ANOVA F test, the null hypothesis is that the means of all the treatments are equal, and the alternative hypothesis is that at least two of the means are different. If the null hypothesis is rejected at the 5% significance level, this means that the differences between the means are statistically significant and the treatments can be considered different.
Since there are four treatments, there are 6 possible pairs of treatments. These tests would determine whether the means of each pair of treatments are significantly different from each other.
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GIVING BRAILIEST PLEASEE!! Given an exponential function for compounding interest, A(t) = P(0.82)t, what is the rate of decay?
A. 18%
B. 8%
C. 0.82%
D. 82%
Answer:A
Step-by-step explanation:
To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.
The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:
0.82 = 1 - r
r = 1 - 0.82
r = 0.18
Therefore, the rate of decay is 18%, which corresponds to answer choice A.
Answer:
A
Step-by-step explanation:
Find the measure of <2.
62 = [?]
Answer:
63°
Step-by-step explanation:
They are corresponding angles.
How do you use distributive property to solve 3,649 x 6
Answer:
21894
Step-by-step explanation:
So, since we want to use the distrubutive property, we ant to simplify 3,649
3000+600+40+9
now, multiply 6 to each one of those numbers:
18000+3600+240+54
add them together to get one number
21894
And that's how I think it's done.
What is -2 2/3 divide by -1/2
Answer:
16/3
Step-by-step explanation:
Answer:
5 1/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
−8/3 ÷ −1/2
Applying the fractions formula for division,
=−8×2/3×−1
=−16/−3
Simplifying -16/-3, the answer is
=5 1/3
Which of the following statements are true?
f(x)
g(x)
B
Step-by-step explanation:
because the figure is based on the graphic law
Halla el menor de tres enteros impares consecutivos tales que 7 veces el entero del medio sea 15 más que la suma del primero y tercer enteros.
Using an algebraic equation to represent the word problem, the smallest integer is 1
Word ProblemThis is a way of representing mathematical problems with words. To solve this, we have to use algebraic equations or expressions.
Let the integers be represented as
xx + 2x + 4We can write an equation from the word problem given as
7 × (x + 2) = 15 + [x + (x + 4)]
7x + 14 = 15 + x + x + 4
7x + 14 = 15 + 2x + 4
collect like terms
7x - 2x = 15 - 14 + 4
5x = 5
Divide both sides by coefficient of x
5x / 5 = 5 / 5
x = 1
The smallest integer is 1
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Translation:
Find the smallest of three consecutive odd integers such that 7 times the middle integer is 15 more than the sum of the first and third integers