The cans of paint that are needed is 25 cans.
How to calculate the value?It should be noted that the sides of the cube will be:
= 3✓2197
= 13
Each side is 13m
Therefore, the total surface area will be:
= 6s²
s = sides
= 6(13)²
= 1014m²
Therefore, the cans needed will be:
= 1014/40
= 25
Therefore, 25 cans are needed.
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One cylinder has a volume that is 8 Centimeters cubed less than StartFraction 7 over 8 EndFraction of the volume of a second cylinder. If the first cylinder’s volume is 216 Centimeters cubed, what is the correct equation and value of x, the volume of the second cylinder?
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 182 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 196 centimeters cubed
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 238 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
Answer:
D. StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubedStep-by-step explanation:
Equation for the volume and solution:
7/8x - 8 = 216 7/8x = 216 + 87/8x = 224x = 224*8/7x = 256 cm³Correct option is D.
Answer:
D. StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
Anyone Can you please check the already done one, and the rest I just need help!!! please:
Answer:
yes your math seems about right but wait for someone else to respond also because im not completely sure
Step-by-step explanation:
Order from greatest to least, 19/4, 45/10, 4 3/5.
Answer:
45/10, 4 3/5, 19/4
Step-by-step explanation:
19/4 = 4.75
45/10 = 4.5
4 3/5 = 23/5 = 4.6
4.75 > 4.6 > 4.5
Best of Luck!
Answer:
19/4, 4 3/5, 45/10
Step-by-step explanation:
first you have to divide the fractions TIBO (top in bottom out)
then once you divide them you should get
4 1/2 or 4 5/10 (45/10)
4 3/5 and
4 3/4 (19/4)
since 3/4 is more than half and 3/5 is more than half (2.5 is half of five) but is less than 3/4 is should be 19/4, 4 3/5, 45/10
PLEASE tell me if this is any shape or form helpful to you :)
if not i'm sorry :(
write the perimeter of the triangle as a simplified expression y+64y-22yt1
Given the triangle;
The perimeter of a shape is the sum of the sides or outer parts of the shape.
Thus, the perimeter of the triangle is;
\(y+6+4y-2+2y+1\)Then, we simplify further by collect like terms, we have;
\(\begin{gathered} y+4y+2y+6-2+1 \\ =7y+5 \end{gathered}\)use calculus to find the open intervals on which the function f(x)=x 104−x−−−−−√fx=x 104−x is increasing or decreasing.
To find the open intervals on which the function f(x) = x^(104−x) is increasing or decreasing, we need to analyze the derivative of the function.
Let's start by finding the derivative f'(x) using the power rule and the chain rule:
f(x) = x^(104−x)
f'(x) = (104−x)x^(104−x−1) - x^(104−x)ln(x)
Now, to determine the intervals of increasing and decreasing, we need to find the critical points of the function. These occur where the derivative is either zero or undefined.
Setting f'(x) = 0, we have:
(104−x)x^(104−x−1) - x^(104−x)ln(x) = 0
Simplifying this equation is challenging, so we can use numerical methods or graphing software to estimate the critical points.
Using a numerical approach, we can use the bisection method or other root-finding algorithms to find approximate values for the critical points.
Let's assume we find two critical points, x = a and x = b, where a < b.
Now, we can test the intervals between these critical points and beyond them to determine if the function is increasing or decreasing.
For x < a:
We can choose a value, c, such that x < c < a.
Evaluate f'(c). If f'(c) > 0, then the function is increasing on this interval. Otherwise, it is decreasing.
For a < x < b:
Choose a value, c, such that a < c < b.
Evaluate f'(c). If f'(c) > 0, then the function is increasing on this interval. Otherwise, it is decreasing.
For x > b:
Choose a value, c, such that b < c < x.
Evaluate f'(c). If f'(c) > 0, then the function is increasing on this interval. Otherwise, it is decreasing.
Please note that without the specific values of the critical points, it is not possible to determine the exact intervals of increasing and decreasing. However, by following the steps outlined above and using the values of a and b, you can determine the open intervals on which the function f(x) = x^(104−x) is increasing or decreasing.
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helppp please i’m begging
Answer:
$8500
Step-by-step explanation:
I = Prt
P = I / rt
= 828.75 / 1.5 x 0.065
= 828.75 / 0.0975
= $8500
Answer:
hello there buddy
Your answer is
I = Prt P = I / rt= 828.75 / 1.5 x 0.065= 828.75 / 0.0975= $8500
Hope it’s helps you Buddy
Step-by-step explanation:
~AwesomeJayden
SOMEONE PLS HELP ME FIND THE AREA OF THIS COMPOSITE FIGURE. ILL GIVE BRAINLIEST!
HELP IF U WANNA BE BRAINLIEST
Step-by-step explanation:
\( \because \sqrt{18} = 4.24264069 \\ \\ \therefore \: 4 < 4.24264069 < 5 \\ \\ \therefore \: 4 < \sqrt{18} < 5 \\ \\ \sqrt{18} \: fall \: between \: 4 \: and \: 5 \\ \\ \because \sqrt{18} = 4.24264069 \approx \: 4 \\ \\ \therefore \: 4 \: is \: closer \: to \: \sqrt{18} \)
the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively find its total surface area
The total surface area of a cylinder are 1187.35 cm sq.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
\(V = \pi r^2 h \: \rm unit^3\)
We are given the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively.
A = 880
V = 3080
Curved surface area of cylinder = 2πrh
880 = 2π x r x h
rh = 880/ 2π
Volume of cylinder = πr x r x h
3080 = πr x r x h
rh = 3080 / πr
Substitue the values;
880/ 2π = 3080 / πr
440/π = 3080 / πr
r = 3080 / 440
r = 7
Now, rh = 880/ 2π
h = 20.01
The total surface area = 2πr(r + h)
= 2π x 7(7 + 20.01)
= 1187.35 cm sq.
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HELP PLS HELPP egrhsdjtkfylkfjhtrgthynbvrshtndgvrehtbgd
Answer:
126
Step-by-step explanation:
The area of the top triangle is (6)(6)/2 = 18 square meters.
The area of the bottom rectangle is (9)(12)=108 square meters.
Adding these, we get the total area to be 126 square meters.
32 is 4 times as much as what number
Answer: 8
Step-by-step explanation:
The 4 times of the number 8 results to 32.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
32 is 4 times as much as what number
let the number be x.
So, 4 times of x = 32
4x = 32
Divide both side by 4.
4x/4 = 32/4
x= 8
Hence, the 4 times of the number 8 results to 32.
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Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer [9 3 -15 -5] Choose the correct answer below O A. The matrix is not invertible because its determinant is zero. O B. The matrix is invertible because its determinant is not zero O C. The matrix is not invertible because the matrix has 2 pivot positions. O D. The matrix is invertible because its columns are multiples of each other. The columns of the matrix form a linearly dependent set.
To determine if the matrix is invertible, we can calculate its determinant. The determinant of a 2x2 matrix [a b; c d] is given by ad-bc. Applying this formula to the given matrix, we get (9*(-5)) - (3*(-15)) = 0.
Therefore, the determinant is zero. This means that the matrix is not invertible, as a matrix is invertible if and only if its determinant is not zero.
Thus, the correct answer is A. We didn't need to find the pivot positions or check if the columns are linearly dependent, as the determinant alone is enough to determine invertibility.
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Suppose it takes 180 credits to get a baccalaureate degree. You accumulate credit at the rate of one credit per quarter for each hour that the class meets per week. For instance, a class that meets three hours each week of the quarter will count for three credits. In addition, suppose that you spend 2.5 hours of study outside of class for each hour in class. A quarter is 10 weeks long. How many total hours, including time spent in class and time spent studying out of class, must you invest to get a degree?
The total time to be invested to get a degree would be 630 hours
Total credits required = 180 credits
Number weeks In a quarter = 10 weeks
Number of credit earned per hour = 1 credit
To earn a degree :
Number of credits required per week :
180 / 10 = 18 credits per week
Since, credit is earned at a rate of 1 per hour ; then ;
Number of class hours per week = 18 hours per week.
This means 180 class hours is required.
For every class hour ; 2.5 hours is used for outside class study
Hence, Total outside class study hours will be :
(2.5 hours × 180 hours) = 450 hours
Therefore,
Total hours that would be invested :
(total outside class hours + tt’otal class hours)
(450 + 180) = 630 hours
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$4. 92 for a dozen apples is a rate of $0. _ _ per apple
Answer:
$0.41
Step-by-step explanation:
dozen means 12.
simply divide $4.92 by 12.
PLEASE MARK ME AS BRAINLIEST !!!
$0.41
Which of the six trigonometric functions has a period of \(2\pi\) and passes through the point \((\pi, 0)\)?
Answer:
i need points rq thanks so much
Step-by-step explanation:
imma go waste these points now
Answer:
x
Step-by-step explanation:
Kate places greeting cards from two different companies on a display rack that can hold up to 90 cards. She
has agreed to display at least 40 of company a's cards on the rack and at least 25 of company b's cards.
kate makes a profit of $0. 30 on each card she sells from company a and $0. 32 on each card she sells from
company b.
To get the maximum profit, Kate should display as many cards from company B as possible, since she makes a higher profit from those cards.
Let x be the number of cards from company A and y be the number of cards from company B.
The constraints are:
x + y ≤ 90 (the display rack can hold up to 90 cards) x ≥ 40 (at least 40 of company A's cards must be displayed) y ≥ 25 (at least 25 of company B's cards must be displayed)The objective function is:
P = 0.30x + 0.32y (the profit from selling the cards)
To maximize the profit, we need to maximize the value of y. Since the display rack can hold up to 90 cards, we can set y = 90 - x.
Substituting this into the objective function:
P = 0.30x + 0.32(90 - x)
P = 0.30x + 28.8 - 0.32x
P = -0.02x + 28.8
To maximize P, we need to minimize x. Since x must be at least 40, we can set x = 40.
Substituting this back into the objective function:
P = -0.02(40) + 28.8
P = 28
So the maximum profit Kate can make is $28, by displaying 40 cards from company A and 50 cards from company B.
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in a study of 200 students under 25
years old, 5% have not yet learned to
drive. How many of the students
cannot drive?
Answer:
10%
Step-by-step explanation:
Mr. Holmes has been getting his Master's in Education from Dowling College and has just heard the news: due to low enrollment, Dowling College will be closing! Because of this, there will be a sale at the campus bookstore and everything is 30% off. If he buys a hat with an original price of $25.00, he believes that the price will be $7.50. When he gets to the register however, the cashier tells Mr. Holmes that he owes $17.50. Who do you think is correct, Mr. Holmes or the cashier?
Answer:
cashier
Step-by-step explanation:
the discount is $7.50
Solve for xxx. Enter the solutions from least to greatest. 3x^2 - 9x - 12 = 03x
2
−9x−12=0
The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.
To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a),
where a, b, and c are the coefficients of the quadratic equation.
In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:
x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)
= (9 ± √(81 + 144)) / 6
= (9 ± √(225)) / 6
= (9 ± 15) / 6.
We have two possible solutions:
For the positive root:
x = (9 + 15) / 6
= 24 / 6
= 4.
For the negative root:
x = (9 - 15) / 6
= -6 / 6
= -1.
The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.
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On this simple system of roads how many ways are there to get from a to b without visiting any of the 9 intersections more than once
To find the number of ways to get from point A to point B on a system of roads without visiting any of the 9 intersections more than once, we can use the concept of permutations.
Let's assume that there are n intersections between points A and B. In this case, there are (n+1) possible locations where you can start, including A and the n intersections. To calculate the number of ways, we can start at any of these (n+1) locations and then choose a different intersection at each step until we reach point B. At the first intersection, we have n options to choose from. At the second intersection, we have (n-1) options, and so on, until we reach the last intersection before point B, where we have 1 option remaining.
To find the total number of ways, we can multiply the number of options at each step Total number of ways = n * (n-1) * (n-2) * ... * 1 = n! For example, if there are 9 intersections between A and B, there are 10 possible locations to start. The total number of ways would be 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 362,880 ways to get from A to B without visiting any of the intersections more than once. In summary, the number of ways to get from A to B without visiting any of the 9 intersections more than once is 362,880.
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The question relates to Eulerian Path in graph theory that visits every edge (or intersection) exactly once in a network (or road system). A definitive answer depends on the layout and connections between intersections.
Explanation:The number of ways to get from point A to point B without visiting any of the 9 intersections more than once is a problem related to graph theory in Mathematics. Graph theory studies paths, routes, and networks, and has a broad range of applications from road design to computer network architecture.
The problem you're asking about is often referred to as the Eulerian Path problem, named after the mathematician Leonhard Euler. An Eulerian Path is a path in a graph (or city road network) that visits every edge (or intersection) exactly once.
However, to give a definite answer, one would need a clearer picture of the situation, that is, how the intersections are laid out and connected. If all intersections are connected in such a way that you can form a continuous path without any isolation, then multiple solutions may exist.
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Y’all plss plss help me, it super ugent, I’ll mark the brainlest
Plsssssss, it Imp not spamming,, I’m serious I’ll report u
Answer:
the answer is correct
Step-by-step explanation:
hope u like
a local dog breeder wants to know if her great dane puppies weigh, on average, the same as the larger population of great dane puppies. her 16 puppies have an average weight of 6.7 pounds, with a standard deviation of 0.5 pound. the population of all great dane puppies has an average weight of 7 pounds, with a standard deviation of 0.45 pound. if she wanted to calculate the 95% confidence interval for her sample, which mean would she use in the formula?
For a confidence interval, she would use her sample mean, hence the mean of 6.7 pounds.
What is a t-distribution confidence interval?In the context of this problem, we use the t-distribution instead of the z-distribution, as we have the standard deviation for her sample.
The bounds of the confidence interval are given according to the following rule:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
In which the parameters are defined as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.From the first bullet point, we get that she should use her sample mean for the calculation of the confidence interval, that is, the mean of 6.7 pounds should be used.
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A small auditorium has 20 seats in the first row and each successive row contains 2
additional seats. If there are 12 rows in the auditorium, how many seats are in this
auditorium?
O 384
O 372
O 330
O 264
Answer:
330.
Step-by-step explanation:
Count all the way up. The first row is 20, then goes, 22,24,26,28,30,32,34,36,38,40. These are the number of seats for all 12 rows, since we added 2 each row. Add them all together including 20 to get 330 seats. The whole auditorium has 330 seats.
Hope this helps!
As per arithmetic Progression, there are 372 seats in the given auditorium.
What is an arithmetic progression?"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."
Given, the auditorium has 20 seats in the first row.
Then, each successive row contains 2.
We can assume it as an arithmetic progression.
Here, the first term(a) is 20.
The common difference(d) is 2.
Total number of terms(n) is 12.
Therefore, the sum of all the terms is
\(= \frac{n}{2}[2a + (n-1)d]\\= \frac{12}{2}[2(20) + (12-1)2]\\= 6[40+(11)2)]\\= 6(40+22)\\= 6(62)\\= 372\)
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Hi! I need a step by step explanation to these equations
Answer:
Step-by-step explanation:
The first one :
3/10 + 4/14 = 3.7/10.7 + 4.5/14.5 = 21/70 + 20/70 = (21+20)/70 = 41/70
The first step is, to make the 2 denominators of the 2 fractions to be the LCM.
10 = 2.5
14 = 2.7
So, the LCM of these 2 will be 2.5.7 = 70
In 3/10, we multiply both the nominator and the denominator by 7 to make the denominator 70.
And in 4/14, we multiply both the nominator and the denominator by 5 to make the denominator 70
And so we have : 21/70 + 20/70
Add the nominators together, the denominator stay the same, we'll have 41/70.
The second one : 5/12 = 6/13 = 5.13/12.13 - 6.12/13.12 = 65/156 - 72/156 = (65-72)/156 = -7/156
So, we find the LCM of 12 and 13 again. And since 13 is a prime number and 12 is not a factor of 13, the LCM will be 12x13=156
Multiply both the nominator and the denominator of 5/12 by 13, and 6/13 by 12, we'll get 65/156 and 72/156
Subtract the nominators, the denominator stay the same, we get -7/156.
A spinner for a game is circular shaped and
has 5 equal sections. Each section is labeled
with the numbers 1-5. What is the
experimental probability of the spinner
landing on 3 when the spinner is spun 700
times and the spinner lands on 3 a total of
240 times?
Answer:
The answer is 460 I got it right on my test
Step-by-step
To get from the stone to the tree you must avoid walking through a pond. To avoid the pond, you must walk 34 yards north
and 41 yeards west. Approximately how many yards would be saved if it were possible to walk through the pond?
Explain step-by-step using the Pythagorean theorem
Answer:
Rounded, 22 yards.
Step-by-step explanation:
The pythagorean theorem states: a^2 + b^2 = c^2
a = 34, squared = 1156
b = 41, squared = 1681
Add those to get 2837.
√2837 = 53.26, rounded.
34 + 41 = 75
75 - 53 = 22
22 yards is your answer.
Describe the location of the point having the following coordinates.
nonzero abscissa, negative ordinate
O Quadrant l or Quadrant IV
O Quadrant III or Quadrant IV
O Quadrant II or Quadrant IV
O Quadrant lor Quadrant II
Answer:
Quadrant III or Quadrant IVStep-by-step explanation:
i Hope it's helpful for you
4.5kg of bananas and 3.5kg of apples cost £6.75. ^kg of apples cost £5.40. Calculate the cost of 1kg of bananas.
Answer: Let's assume the cost of 1 kilogram of bananas is represented by 'x'.
According to the given information, 4.5 kg of bananas and 3.5 kg of apples together cost £6.75. We also know that the cost of 1 kg of apples is £5.40.
Using this information, we can set up the following equation:
4.5x + 3.5(£5.40) = £6.75
Now let's solve for 'x':
4.5x + 3.5(£5.40) = £6.75
4.5x + £18.90 = £6.75
4.5x = £6.75 - £18.90
4.5x = -£12.15
x = (-£12.15) / 4.5
x ≈ -£2.70
The cost of 1 kilogram of bananas, based on this calculation, is approximately -£2.70. However, it's important to note that a negative cost doesn't make sense in this context. It's possible there may be an error in the given information or the setup of the equation.
what is the best solution to this equation 2log2x-log2(2x)=3
The best solution for the given equation is x=4
What are logarithmic functions?
The inverse function to exponentiation in mathematics is called the logarithm. Accordingly, the exponent to which b must be raised in order to obtain a number x is determined by its logarithm to the base b.
Use Property:
logb(xy)=logbx+logby and logby = x ⇔ x^b = y
log2(x(x−2))=3
2^3 =x^2 −2x
8=x^2−2x
0=x^2−2x−8
0=(x−4)(x+2)
x−4=0
or
x+2=0
x=4
or
x=−2
Hence, x=4
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Answer: X=16
Step-by-step explanation:
trust,, also good luck to plato 2b algebra people
A swimmer swims a quarter of a mile in
12 minutes. How far does she swim in one hour?
Time=12min
Pair with 1hour=60/12=5She swim in one hour=
\(\\ \sf\longmapsto 5(1/4)\)
\(\\ \sf\longmapsto 5/4\)
\(\\ \sf\longmapsto 1.2mi\)
Answer:
1.25 miles-------------------------------
A swimmer swims a quarter of a mile in 12 minutes.
1/4 miles ⇒ 12 min,x miles ⇒ 1 hr = 60 min.Cross- product:
x*12 = 1/4*6012x = 15x = 15/12x = 5/4x = 1.25 miles