Answer:
4
Step-by-step explanation:
If one side length of an equilateral triangle is (4mn^3 - 5)yds., what is the perimeter of the
triangle?
Answer:
\( 12m {n}^{3} - 15yds\)Step-by-step explanation:
Given,
One side of an equilateral triangle
\( = (4mn^3 - 5)yds\)
Therefore,
Perimeter of the equilateral triangle
\( = 3 \times side\)
\( = 3 \times (4mn^3 - 5)yds\)
\( = 12m {n}^{3} - 15yds(ans)\)
Some students are building the stage set for an upcoming school play. As they
finalize some of the backdrops, they need to determine the budget for the
cost of materials. The paint costs $12.50 per gallon, and one gallon of paint
covers 350 square feet. Reflecting tape costs $4.50 per roll, and one roll of
tape covers 40 linear feet.
1. The wooden backdrop for the opening scene shows a city skyline. One
side of the backdrop is to be painted black. Find the area of the skyline.
Then determine the budget for black paint if the backdrop is to be
painted with two coats of paint.
To determine the budget for black paint for the wooden backdrop, we need to first find the area of the skyline that needs to be painted.
Let's assume that the wooden backdrop measures 10 feet in height and 20 feet in width. The area of the backdrop would be:
Area = height x width
Area = 10 x 20
Area = 200 square feet:
Area = height x width
Area = 10 x 10
Area = 100 square feet
Since two coats of paint are required, we need to double the area. Therefore, the total area that needs to be painted with black paint is:
Total area = 2 x area of one side
Total area = 2 x 100
Total area = 200 square feet
Number of gallons = Total area / Coverage per gallon
Number of gallons = 200 / 350
Number of gallons = 0.57 (rounded up)
Therefore, we need 0.57 gallons of black paint for the wooden backdrop.
Now, the cost of one gallon of paint is $12.50. Therefore, the budget for black paint can be calculated as:
Budget = Number of gallons x Cost per gallon
Budget = 0.57 x $12.50
Budget = $7.13 (rounded to the nearest cent)
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Solve the system of equations:
4x-3y+5z=-19
3x-y-8z=-21
-2x+y+3z=13
Answer:
(-3, 4, 1)
Step-by-step explanation:
Justin has 4 more marbles than lee and Cindy has 3 times as many marbles as justin if lee has N marbles .Write an expression that could be used to determine haw many marbles Cindy has?
Answer: (n+4)*3
Step-by-step explanation:Justin has 4 more (+) so that mean the first part of the expreshion would be n+4 then Cindy has 3 times as Justin so then u would have to multply n+4 by 3 to get how much Cindy.:)
WILL MARK BEST ANSWER BRAINIEST
One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the rectangle?
Answer:
Step-by-step explanation:
x- one side
x-3- another side
Perimeter- 54
x+x-3+x+x-3=54
4x-9=54
+9 +9
________________-
4x= 63
÷4 ÷4
____________
x=15.75
So answers= 15.75 and 12.75
I don't know if its right so don't be mad i wrong!! But hope this helps and will give u hint how to do it so u can check :3
g find the general solutions of the systems whose augmented matrices are given in exercises 7-14.
7-14 are similar methods to find the general solutions of the systems whose augmented matrices are given in exercises
To find the general solutions of the systems whose augmented matrices are given in exercises 7-14, we need to perform row operations until the augmented matrix is in row echelon form or reduced row echelon form. Then, we can use back substitution to solve for the variables.
The term "solutions" refers to the set of values that satisfy the system of equations represented by the augmented matrix. The term "augmented" refers to the matrix formed by appending the column vector of constants to the coefficient matrix.
Once we have the augmented matrix in row echelon form or reduced row echelon form, we can identify the pivot variables and free variables. Pivot variables are the variables corresponding to the pivot columns, while free variables are the remaining variables. We can express the pivot variables in terms of the free variables to obtain the general solution.
For example, consider the following augmented matrix:
[1 2 -1 | 0]
[2 4 1 | 5]
[-1 1 2 | -1]
To put this matrix in row echelon form, we can perform the following row operations:
R2 - 2R1 -> R2
R3 + R1 -> R3
R3 + 2R2 -> R3
This gives us the following row echelon form:
[1 2 -1 | 0]
[0 0 3 | 5]
[0 0 0 | 4]
The pivot variables are x1 and x3, while x2 is a free variable. We can express x1 and x3 in terms of x2 as follows:
x1 = -2x2
x3 = 5/3 - (5/3)x2
Therefore, the general solution is:
x1 = -2x2
x2 = x2
x3 = 5/3 - (5/3)x2
This can be written more compactly as:
x = [-2x2, x2, 5/3 - (5/3)x2]
where x is the vector of variables.
We can apply similar methods to find the general solutions of the systems whose augmented matrices are given in exercises 7-14.
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Find the general solutions of the systems whose augmented ma- trices are given in Exercises 7-14. 10. B -2 -1 3-6-2 2]
Select the statement that correctly compares two numbers. (2 points) a 6,092 > 6,092.001 b 6,197.02 > 6,197.2 c 6,232.01 = 6,232.1 d 6,365.1 < 6,365.999
A statement of inequality that correctly compares two numbers is: D. 6,365.1 < 6,365.999.
What is a numerical data?A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).In this scenario, a statement of inequality that correctly compares two numbers is 6,365.1 < 6,365.999.
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Convert 12.05 to a fraction
Answer:
241/20
Step-by-step explanation:
Answer:
241/20
Step-by-step explanation:
may i have brainliest
Which is the conclusion in the following argument. "Since the good, according to Plato, is that which furthers a person's real interests, it follows that
Group of answer choices
- the good, according to Plato, is that which furthers a person's real interests
- Neither of the above.
- in any given case, when the good is known, men will seek it
The conclusion in the argument is "the good, according to Plato, is that which furthers a person's real interests." which it is the correct answer.
In a well-structured argument, the conclusion is what the argument aims to prove.
The conclusion can be located at the beginning or end of the argument, and it should always be precise, clear, and understandable.
The conclusion in the argument above is that "the good, according to Plato, is that which furthers a person's real interests."
The argument tries to explain that the good in Plato's philosophical teachings is a thing that advances a person's genuine interests.
The statement "it follows that" is the premise that links the argument with the conclusion.
The premise and the conclusion have a relationship of cause and effect, and this implies that the argument's conclusion is "the good, according to Plato, is that which furthers a person's real interests."
Therefore, the right option is: the good, according to Plato, is that which furthers a person's real interests.
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Write 0.25 miles as a fraction in simplest form
Answer:
1/4 miles
Step-by-step explanation:
so let me explain it like this. a quarter is worth 25 cents. how many quarters in a dollar? 4. a dollar is 100 cents. its also called a quarter because it takes up 1/4th of a dollar. so 0.25 is a quarter of 100 and is 1/4 as a fraction.
Answer:
it's 1/4
Step-by-step explanation:
a website streams movies and television shows to its subscribers. employees know that the average time a user spends per session on their website is 222 hours. the website changed its design, and they wanted to know if the average session length was longer than 222 hours. they randomly sampled 505050 users and found that their session lengths had a mean of 2.752.752, point, 75 hours and a standard deviation of 1.551.551, point, 55 hours. the employees want to use these sample data to conduct a ttt test on the mean. assume that all conditions for inference have been met. identify the correct test statistic for their significance test.
The appropriate conclusion:
The evidence suggests that the mean session length is longer than 2 hours.
Since the P-value (0.015) is less than the significance level (0.05), we have sufficient evidence to reject the null hypothesis.
The test statistic (t ≈ 2.24) also supports the conclusion that the mean session length is longer than 2 hours.
Thus, the appropriate conclusion at the significance level α = 0.05 is:
The evidence suggests that the mean session length is longer than 2 hours.
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the question attached here seems it be incomplete, the complete question is:
A website streams movies and television shows to its subscribers. Employees know that the average time a user spends per session on their website is 2 hours. The website changed its design, and they wanted to know if the average session length was longer than 2 hours. They randomly sampled 50 users to test H_{0} / mu = 2 hours versus H_{a} / mu > 2 hours, where μ is the mean session length.
Users in the sample had a mean session length of 2.49 hours and a standard deviation of 1.55 hours. These results produced a test statistic of t \approx 2.24 and a P-value of approximately 0.015,
Assuming the conditions for inference were met, what is an appropriate conclusion at the significance level? alpha = 0.05
Choose 1 answer:
The evidence suggests that the mean session length is shorter than 2 hours.
The evidence suggests that the mean session length is longer than 2 hours.
The evidence suggests that the mean session length is exactly 2 hours.
They cannot conclude the mean session length is longer than 2 hours.
Solve: x + 1 > -5 (7-2x)
Answer:
x < 4
Step-by-step explanation:
Please see attached picture for full solution.
The diagram shows a track composed with a semicircle on each end. The area of the rectangle is 5,500 square meters. What is the perimeter of the th rack? Use 3.14 for π
The perimeter of the track is of 377 m.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
Considering the rectangle with area 5500 m² and base 110 m, the height h, representing the diameter d of the circumference, is obtained as follows:
110d = 5500
d = 550/11
d = 50 m.
The radius is half the diameter, hence it is given as follows:
r = 25 m.
The perimeter is given as follows:
Circumference of two-half-circles = one circle of radius 25 m.Two segments of 110 m.Hence it is given as follows:
P = 2 x 110 + 2 x 3.14 x 25
P = 377 m.
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What is the answer (6 - 4) x 3
Answer:
its 6
Step-by-step explanation:
6-4=2
2*3=6
hope it helps
Hey there!
In order to answer this question, you have to do PEMDAS
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
“(6 – 4) • 3”
• FIRST: we have to work with inside the PARENTHESES
(6 – 4) = 2
• We can SKIP exponents because we DON’T have any EXPONENTS
• SECOND: we have to MULTIPLY
2 • 3 = 6
• We can SKIP the others (Division, Addition, and Subtraction) because we don’t need them
• Answer: 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
I need help and fast
B it is B not c or a it is b
Use point-slope form to write an equation of the given line. Solve the equation for y.
у
Х
Ravi works as a tutor for an hour and as a waiter for an hour. This month, he worked a combined total of hours at his two jobs. Let be the number of hours Ravi worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
The expression for his total earnings can be derived by multiplying the number of tutoring hours by the tutoring rate and adding it to the product of the number of waiter hours and the waiter rate.
Let's assume the hourly rate for Ravi's tutoring job is "t" dollars and the hourly rate for his waiter job is "w" dollars.
Since Ravi worked as a tutor for "x" hours this month, he earned a total of x * t dollars from his tutoring job.
Similarly, as he worked as a waiter for 1 hour each day this month, he earned a total of 1 * w dollars from his waiter job.
To calculate the combined total dollar amount he earned this month, we can express it as x * t + 1 * w, which represents the earnings from his tutoring job plus the earnings from his waiter job.
This expression provides the total dollar amount Ravi earned based on the given hourly rates and the number of tutoring hours.
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On the second grid, create a graph of y = 3 – 4t for -2 ≤ t ≤ 7 with y on the vertical axis and t on the horizontal axis.
The graph of y = 3 - 4x is given above.
The coordinates on the graph are:
(-2, 11) and (7, -25).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = 3 - 4t
Where -2 ≤ t ≤ 7
Now,
Find the coordinates on the graph.
y = 3 - 4t
For t = -2
y = 3 - 4 x (-2) = 3 + 8 = 11
i.e
(-2, 11)
For t = 7
y = 3 - 4 x 7 = 3 - 28 = -25
i.e
(7, -25)
Thus,
The coordinates on the graph are:
(-2, 11) and (7, -25).
The graph is given below.
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PLEASE HELP GUYS!!!
which of the following is equivalent to the complex number i^38?
Answer:
The answer is C = -1
in the situation of (In quadrilateral ABCD, assume that angle A = 90 degrees = angle C. Draw diagonals AC and BD and show that angle DAC = angle DBC.), assume that diagonal AC bisects diagonal BD. Prove that the quadrilateral is a rectangle.
we have AD = CB and AE = EC, which implies that ABCD is a parallelogram. Moreover, since angle A = 90 degrees, we have angle B = angle D = 90 degrees. Therefore, ABCD is a rectangle.
Given that in quadrilateral ABCD, angle A = 90 degrees = angle C, and diagonal AC bisects diagonal BD.
To prove that ABCD is a rectangle, we need to show that its opposite sides are parallel and equal in length.
Let E be the point where diagonal AC intersects BD. Since AC bisects BD, we have BE = ED.
Now, in triangles ADE and CBE, we have:
AD = CB (opposite sides of a rectangle are equal)
Angle ADE = Angle CBE (each is equal to half of angle BCD)
Angle DAE = Angle BCE (vertical angles are equal)
Therefore, by the angle-angle-side congruence theorem, triangles ADE and CBE are congruent. Hence, AE = EC.
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Which of the following must be true?
Answer:
answer is B because in the property of parallelogram it says ad is parallel to bc
Each year, Paul's aunt gives him a birthday gift of $100 in cash. Paul deposits the money into an account that earns simple interest at a rate of 4%. Paul makes no withdrawals. How much interest has his account earned after 7 years?
Answer:
100 *4% then divided 7 the number you got
Step-by-step explanation:
using your equation of f(x)= 5x + 8, evaluate f(5)
Answer:
33
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
#carryonlearning :)Find m of MLJ
See photo below
Answer:
45°---------------------
The angle formed by a tangent and secant is half the difference of the intercepted arcs:
12x - 3 = (175 - 21x - 1)/224x - 6 = 174 - 21x24x + 21x = 174 + 645x = 180x = 4Find the measure of ∠MLJ by substituting 4 for x in the angle measure:
m∠MLJ = 12*4 - 3 = 48 - 3 = 45f(1) = 4
f(2) = 25
f(n) = f(n - 2). S (n - 1)
f(3) =
Answer:
\(f(3) = f(3 - 2) \times f(3 - 1)\)
\(f(3) = f(1) \times f(2)\)
\(f(3) = 4 \times 25\)
\(4 \times 25 = 100\)
12 is the measure of the value of f(3).
Sequences and seriesBased on the given information, we have f(1) = 4 and f(2) = 25.
To determine the value of f(3), we will use the recursive formula
f(n) = f(n - 2) * S(n - 1), where:
S represents the successor function.
Determine f(3):
f(3) = f(3 - 2) * S(3 - 1)
f(3) = f(1) * S(2)
f(3) = 4 * 3
f(3) = 12
Therefore, the value of f(3) from the sequence is 12.
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What scale factor takes hexagon J to hexagon K?
Answer:
Step-by-step explanation:
boody boody
Which square root is between 4 and 5
10
14
24
32
They are divided by the way
let $p$ be a prime number between 40 and 60. what is the probability that $p 12$ is also a prime number? express your answer as a common fraction.
The probability is: 3/5
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
There are : 41 | 43 | 47 | 53 | 59 (5 primes) Between 40 and 60.
41 + 12 =53 is a prime
43 + 12 =55 Not a prime
47 + 12 =59 is a prime
53 + 12 =65 Not a prime
59 + 12 =71 is a prime
Therefore, the probability is: 3/5
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Esmerelda is a math student who needs to gather a sample of 10 participants to conduct a survey about U.S. residents. She asks her 3 siblings, her 2 parents, and telephones 5 friends and asks them to complete her questionnaire. This is an example of a ______________________.
A. convenience sample
B. systematic sample
C. self-selecting sample
D. representative sample
Answer:
Representative sample is your answer ....
If the series is convergent, use the Alternating Series Estimation Theorem to determine the minimum number of terms we need to add in order to find the sum with an error less than 0.0001? Consider the series below. If the series is convergent, use the Alternating Series Estimation Theorem to determine the minimum number of terms we need to add in order to find the sum with an error less than 0.000 1?
To determine the minimum number of terms we need to add in order to find the sum of the series with an error less than 0.0001, we can use the Alternating Series Estimation Theorem.
The Alternating Series Estimation Theorem is a useful tool for approximating the sum of an alternating series and determining the accuracy of the approximation. An alternating series is a series in which the terms alternate in sign, such as (-1)^n or (-1)^(n+1).
To use the Alternating Series Estimation Theorem, we need to check two conditions. Firstly, we verify that the series is convergent, meaning that the partial sums of the series approach a finite limit as the number of terms increases. If the series is not convergent, this estimation method cannot be applied.
Once we have established that the series is convergent, we can use the theorem to determine the minimum number of terms required to achieve a desired level of accuracy. The theorem tells us that the error in approximating the sum of the series using a partial sum is less than or equal to the absolute value of the first omitted term.
In our case, we want the error to be less than 0.0001. By finding the absolute value of the first omitted term, we can determine how many terms we need to add to the partial sum in order to achieve this desired level of accuracy. This will give us the minimum number of terms required to obtain the sum with an error less than 0.0001.
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