RESPUESTA: 175
Explico:
amelia started with $54, and spent $6 each day at camp. she has $18 left.write and solve an equation that can be used to find in how many days, d she has left at camp.which equation can be used to determine how many days d she was at camp?
Amelia was at camp for 6 days. The equation used to determine how many days(D) she was at camp is C x D = 6D and S - (C x D) = E
Given data:
S = initial amount = $54
D = the number of days
C = the cost per day = $6
E: the ending amount = $18
Amelia started with S=$54 and spent C=$6 each day at camp.
Therefore, the total amount she spent at camp is given in an algebraic expression that states the product of two variables:
C x D = 6D
Next, she ended with E=$18. So, the equation can be written in algebraic expression that states the difference between the variable:
S - (C x D) = E
Substituting the values in the equation we get:
54 - 6D = 18
54 - 18 = 6D
36 = 6D
D = 6
Therefore, Amelia was at camp for 6 days.
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Consider a standard normal random variable z. What is the value of z if the area to the right of z is 0.3336? Multiple Choice 0.43 0.52 O o 0.35 1.06 O
Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.
Consider a standard normal random variable z. If the area to the right of z is 0.3336, the value of z can be found using the standard normal distribution table. The standard normal distribution table gives the area to the left of a given z-score. Since we are given the area to the right of z, we subtract 0.3336 from 1 to get the area to the left of z. This gives us an area of 0.6664 to the left of z on the standard normal distribution table. The closest value of z that corresponds to this area is 0.43. Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43. The value of z, when the area to the right of z is 0.3336, is approximately 0.43.
Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.
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The sides of a rectangle are x and 3 - 2x. Express the rectangle's area as a function of x. Express the rectangle's perimeter as a function of x. Explain why x cannot equal 2.
Answer: It is 3.5
Step-by-step explanation:
I think this because 2/2x=3/2=1.5 but you have 2 left to add which=3.5
A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is increasing at the rate of 6.4 feet per second. Find a function, r(t), for theradius in terms oft. Find a function, A(r), for the area of the ripple in terms of r. Find (A or) (t).
SOLUTION
From the question, the r is increasing at the rate of 6.4 feet per seconds.
This means that the equation of the radius is
\(r=6.4\times t\)So the function for the radius, in terms of t becomes
\(r(t)=6.4t\)The Area A is given as
\(A=\pi r^2\)So, the function for the area in terms of r becomes
\(A(r)=\pi r^2\)Now, (A . r)t becomes
\(\begin{gathered} (A.r)t=\pi r^2,\text{ where r\lparen t\rparen = 6.4t, we have } \\ (A.r)t=\pi\times(6.4t)^2 \\ =40.96\pi t^2 \end{gathered}\)Hence the answer is
\((A.r)t=40.96\pi t^2\)The 3rd option is the answer
what's the value of x ?
\( {x}^{2} = 36\)
Answer:
\(x = \sqrt{36} = 6\)
Hope it helps
Have a good day Ahead
What fraction of 200 gallons is 171 L? Give your answer in simplest form. 1 gallon = 4.5 L.
WHOEVER CAN ANSWER THIS CORRECT FIRST I WILL MAKE A BRAINLIST
Answer:
757.08 is your answer
Step-by-step explanation:
Hope this helped!
Sorry for not answering sooner :(
Problem 2: Find a general solution for the following recurrence equation: Qn-1 +5Qn-2+3Qn-3+3". Show your work, clearly marking all steps of the solution. Hint: The characteristic polynomial factors into (x + 1)(x - 3).
The general solution of the given recurrence equation is Qn = (-1/4)(-1)n + (1/4)n(-1)n + (1/2)(3)n.
The given recurrence equation is
Qn-1 + 5Qn-2 + 3Qn-3 = 3
Let's find the characteristic equation of the given recurrence equation:
By assuming Qn = rn,
the characteristic equation can be derived as:
r3 - r2 - 5r - 3 = 0
So, the characteristic polynomial is
(r + 1)(r - 3)2
Let α = -1 and β = 3 (repeated roots)
Now, the solution of the given recurrence equation is:
Qn = Arn + Bnαn + Cnβn
As α = -1 and β = 3 are the roots of the characteristic equation, substitute these values in the above equation.
We have
A(-1)n + Bn(-1)n + Cn(3)n ... (1)
As we are going to find the general solution of Qn, the constants A, B, and C need to be determined.
Let's solve for A, B, and C by considering the first few terms of the given recurrence equation.
Suppose n = 3 in the recurrence equation Qn-1 + 5Qn-2 + 3Qn-3 = 3, we have
Q2 + 5Q1 + 3Q0 = 3 ... (2)
Now, substitute n = 2 in the general solution (1), we have
Q2 = A(-1)2 + B2(-1)2 + C23 ... (3)
Now, substitute n = 1 in the general solution (1), we have
Q1 = A(-1)1 + B1(-1)1 + C31 ... (4)
Now, substitute n = 0 in the general solution (1), we have
Q0 = A(-1)0 + B0(-1)0 + C30 ... (5)
Now, let's solve for A, B, and C using equations (2), (3), (4), and (5).
Q2 + 5Q1 + 3Q0 = 3:
2A + 5B + 3C = 3A(-1)2 + B2(-1)2 + C23:
A - B + 9C = 3A(-1)1 + B1(-1)1 + C31:
-A - B + 3C = 1A(-1)0 + B0(-1)0 + C30:
A + B + C = 1
On solving the above equations,
we get A = -1/4, B = 1/4, and C = 1/2
So, the general solution of the given recurrence equation is
Qn = (-1/4)(-1)n + (1/4)n(-1)n + (1/2)(3)n
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PLEASE HELP!!! ILL GIVE BRAINLIEST
A map of a highway has a scale of 2 inches=33 miles. The length of the highway on the map is 8 inches. There are 17 rest stops equally spaced on the highway, including one at each end. You are making a new map with a scale of 1 inch=30 miles . How far apart are the rest stops on the new map?
How many inches apart are the rest stops?
Answer:
Step-by-step explanation:
Step-by-step explanation:
2/33=6/xx=99since there are 11 rest stops and you are trying to find the space in the middle of the two rest stops. 99/11 rest stops9 miles in between rest stops9/y=30/19/30=y3/10=y.3 inches=yHope that helps :)
Answer:
Step-by-step explanation:
i have the same question\
what place does the three sit at in 43,628,698,591
Answer:
Billion
Step-by-step explanation:
In 43,628,698,591 the three is in the Trillion spot.
One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.
There are 9 #’s after the 3 which means it is billions :)
How many litres can be held by a cylindrical can 14cm in diameter and 20cm hight?
Answer:
about 3.08 L
Step-by-step explanation:
You want the number of litres in the volume of a cylindrical can 14 cm in diameter and 20 cm high.
LitersA litre is a cubic decimeter, 1000 cubic centimeters. As such, it is convenient to perform the volume calculation using the dimensions in decimeters:
14 cm = 1.4 dm . . . . . . diameter20 cm = 2.0 dm . . . . . heightVolumeThe volume of the cylinder is given by the formula ...
V = (π/4)d²h . . . . . . . where d is the diameter and h is the height
V = (π/4)(1.4 dm)²(2.0 dm) ≈ 3.079 dm³ ≈ 3.08 L
The cylindrical can will hold about 3.08 litres.
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-12 - 12x = 36 please help me with this problem due today.
Answer:
x = -4
Step-by-step explanation:
-12 -12x = 36
add 12 to each side of the equation
-12x = 48
divide both sides by -12
x = -4
The ones digit in the cube of 529 is??
Answer:9
Step-by-step explanation: 529 x 529 x 529=
148035889
Kaj goes out to lunch. The bill, before tax and tip, was $17.35. A sales tax of 4% was added on. Kaj tipped 22% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.
Suppose Q and R are independent events. Find P(Q and R). P(Q)=0.37,P(R)=0.24
To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.
Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).
We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P
(R) = 0.24
P(Q and R) = P(Q) × P(R)
= 0.37 × 0.24
= 0.0888
Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.
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The area of a circular pizza is 2122.64 square centimeters. What is the diameter of the pizza?
Area of a circle = pi x r^2
---For the purposes of this problem, pi = 3.14
2122.64 = (3.14)(r^2)
676 = r^2
r = 26 cm
Diameter = 2 x radius
diameter = 2 x 26
diameter = 54 cm
Answer: diameter = 54 cm
Hope this helps!
a woman 5-feet tall casts an 8-foot shadow. at the same time of day, the shadow of a tree nearby is 120 feet long. in feet, how tall is the tree?
A woman 5-feet tall casts an 8-foot shadow. at the same time of day, the shadow of a tree nearby is 120 feet long. in feet, 75 feet tall is the tree.
Let the tree height = x
From the question, we have
5/8 = x/120
x = (5*120)/8
x = 75 feet
Tree height = 75 feet
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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If the dimensions of a triangle are cut in ____, then the new perimeter is one-fourth of the original perimeter.
1. half
2. thirds
3. fourths
Answer:
Fourths
Step-by-step explanation:
If all the sides of the triangle added together is equal to P, then the sides of the new triangle would be P/4. Therefore the answer would be fourths.
find the taylor series for f centered at 5 if f(n)(5) = e5 14 for all n.
The Taylor series for the function f centered at 5 is given by f(x) = \(e^5\) + (x - 5)\(e^5\) + (1/2!)\((x - 5)^2\)\(e^5\) + (1/3!)\((x - 5)^3\)\(e^5\) + ...
The Taylor series expansion of a function f(x) centered at a point a is given by the formula:
f(x) = f(a) + f'(a)(x - a) + (1/2!)f''(a)\((x - a)^2\) + (1/3!)f'''(a)\((x - a)^3\) + ...
In this case, we are given that f(n)(5) = \(e^5\) * 14 for all n. This implies that all the derivatives of f at x = 5 are equal to \(e^5\) * 14.
Therefore, the Taylor series for f centered at 5 can be written as:
f(x) = f(5) + f'(5)(x - 5) + (1/2!)f''(5)\((x - 5)^2\) + (1/3!)f'''(5)\((x - 5)^2\) + ...
Substituting the given values, we have:
f(x) = \(e^5\) * 14 + (x - 5)\(e^5\) * 14 + (1/2!)\((x - 5)^2\)\(e^5\) * 14 + (1/3!)\((x - 5)^3\)\(e^5\) * 14 + ...
Therefore, the Taylor series for f centered at 5 is given by the above expression.
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Which expression is equivalent to m 2 - 13 m -30?
Answer:
=−13m−28
Step-by-step explanation:
Let's simplify step-by-step.
2−13m−30
=2+−13m+−30
Combine Like Terms:
=2+−13m+−30
=(−13m)+(2+−30)
=−13m+−28
how many multiples of $9^3$ are greater than $9^4$ and less than $9^5$?
There are 72 multiples of 9³ that are greater than \(9^4\) and less than \(9^5\).
We have,
The values of 9³, \(9^4\), and \(9^5\):
9³ = 729
\(9^4\) = 6561
\(9^5\) = 59049
Now,
The multiples of 729 that fall within the range (6561, 59049).
The number of multiples can be calculated as follows:
Multiples = (Highest value ÷ Divisor) - (Lowest value ÷ Divisor)
= (59049 ÷ 729) - (6561 ÷ 729)
= 81 - 9
= 72
Therefore,
There are 72 multiples of 9³ that are greater than \(9^4\) and less than \(9^5\).
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Please do it with step by step explanation it will help me so much thanks!
Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $30. Now the cost is $39.
a. What is the percent increase?
b. What would be the percent increase if the ticket agent charges an additional $4.50 fee with the new ticket price?
Answer:
A) The percent increase is by 30%.
B) for the original price = 15%.
B2.0) for the existing price (39) = approximately 11.54%.
Step-by-step explanation:
A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.
B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).
How do you simplify and verify trig identities?
In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.
The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.
After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.
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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses.
Answer:
79 people can only be in this so we have 53 kids so 53 * 4 = 212
Step-by-step explanation:
However, there is 53 kids to find how many adults you will have to do 79 - 53 which that = 26 so 26 adults were there. so 26 * 8.50 = 221.
To fine how much money they earn you will just have to add them up so
$212 + $ 221 = $433 so they didn't really earn the amount of money they really want which is $ 460.
Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.
Given,
The drama club is selling tickets to their play to raise money for the show's
expenses.
Each student ticket sells for $4 and each adult ticket sells for $8.50.
The auditorium can hold at most 79 people.
The drama club must make no less than $460 from ticket sales to cover
the show's costs.
If 53 student tickets were sold, determine the minimum number of adult
tickets that the drama club must sell in order to meet the show's expenses.
How to find the number of items from a total cost where each item cost is the same?We will divide the total cost by the cost of each item.
Example:
Cost of each item = $3
Total cost = $9
Number of items = $9 / $3 = 2
We have,
Student ticket:
Cost of each ticket = $4
Number of tickets sold = 53
Total sell from student tickets sold = 53 x $4 = $212
Adult ticket:
Cost of each ticket = $8.50
Number of adult tickets sold = M
Total sell of adult tickets sold = M x $8.50
Total number of people the auditorium can hold = 79
Minimum amount to make from ticket sales = $460
The remaining amount that needs to sale from adult tickets:
= $460 - $212
= $248
The number of adult tickets sold:
M = $248 / $8.50 = 29
Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.
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I used a tutor for this and the answer I was given is 50.2. Which is incorrect. I am trying to understand how to solve.
Since you have the hypotenuse and the adjacent length, you have to use the trigonometric ratio cosine to
solve for x. Formulating the equation we have:
\(\begin{gathered} \cos (x)=\frac{\text{ adjacent length}}{\text{hypotenuse}} \\ \cos (x)=\frac{9}{14}\text{ (Replacing the values)} \\ \cos ^{-1}(\cos (x))=\cos ^{-1}(9/14)\text{ (Using the inverse function of cosine)} \\ x\text{ = 49.99}5\text{ (Dividing 9 by 14 and using the inverse function of cosine)} \\ \text{The answer would be 50\degree{}rounded to the nearest integer. } \end{gathered}\)Given m\\n find the value of x
Answer:
A big number probably
Step-by-step explanation:
You revived 1/4 pound of candy from your grandmother, 1/2 pound of candy from your sister, and 1/8 pound of candy from your best friend. How many pounds of candy did you receive?
Answer:
⅞ pound
Step-by-step explanation:
You received 1/4 pound of candy from your grandmother.
You received 1/2 pound of candy from your sister.
You received 1/8 pound of candy from your best friend.
The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.
The total amount of candy is therefore:
¼ + ½ + ⅛ = ⅞ pound
You received ⅞ pound of candy in total.
A class of 28 students had a mean score of 72 on a math test. After the teacher realized that one of the questions had an alternative correct answer, he gave 4 points each to the 7 students who had given the alternative answer. What is the new mean test score?
Answer:
73
Step-by-step explanation:
The wheels of a car are of radius 40cm each, if the car is travelling at a speed of 66km/h, find the number of revolutions made by each wheel in 20 minutes
Answer: Each wheel makes 437.5 revolutions in 20 mins
Step-by-step explanation:
Circumference = 2πr
Given that the radius is 40 cm
Circumference = 2π(40) = 80π cm
Find the distance traveled in 20 mins
Speed = 66 km/h
1 hour = 66 km
Rewrite hour into min
60 min = 66 km
1 min = 66 ÷ 60 = 1.1 km
Rewrite km in cm
1.1 km = 1.1 x 10,000 cm = 110,000 cm
Find the number of revolutions in 20 mins:
1 revolution = 80π cm
Number of revolution = 110,000 ÷ 80π = 437.5
Given g(x)=-2x-4, find g(6)
Answer:
g(6)= -16
Step-by-step explanation:
g(x)= -2x-4
To complete this problem, we must first substitute 6 for x.
g(6)= -2(6)-4
We can now solve.
g(6)= -12-4
g(6)= -16
possible points: 7.14 question the student council is selecting officers for the next school year from the 7 freshmen, 4 sophomores, and 6 juniors that are running for the 5 officer positions available. at least three officers must be juniors. how many different possibilities are there for the 5 different officer positions?
The 5 separate possibility that officer seats may be filled in 336 different ways.
7 + 4 + 6 = 17 students are running for the 5 officer positions. If at least 3 of the 5 positions must be filled by juniors, there are 6 ways to choose which 3 juniors will fill these positions.
Then there are 7 + 4 - 3 = 8 remaining students 3 juniors and 5 from the remaining sophomores and freshmen to fill the remaining 2 positions.
There are 8 ways to choose the first of these 2 positions and 7 ways to choose the second, so there are a total of 6 × 8 × 7 = 336 ways to choose the officers.
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