Answer:
\(\$128.43\)
Step-by-step explanation:
Since the cost for border paper is given in terms of feet and the dimensions of the gym are given in meters, we want to convert them to the same unit. Let's choose to convert feet to meters since that would be only one conversion:
\(15\:\mathrm{ft}=4.572\:\mathrm{m}\)
Therefore, the cost of border paper is $6.99 pet 15 feet or $6.99 pet 4.572 meters.
Since the gym is rectangular, the gym's perimeter is equal to:
\(p=15+27+15+27,\\p=2(15)+2(27)=84\:\mathrm{m}\)
Therefore, the cost of the total border paper for the gym is equal to:
\(\text{cost}=\frac{84}{4.572}\cdot 6.99\approx \boxed{\$128.43}\)
QW QW . R R RR . R R RR
Please report my answer
Assuming the 4 inch by 10 inch base on which the cake sits will not be frosted, what is the area that will require frosting? 352 square inches 372 square inches 392 square inches 432 square inches
Answer:352 square inches
Step-by-step explanation:edge
A coin is flipped and a normal dice is rolled what is the probability of getting a tail and a five
Answer:
25% chance
Step-by-step explanation:
A triangle can be formed with side lengths 3 in, 5 in, and 9 in.
Yes, it would be a scalene triangle. This can happen.
The Triangle sides have to be greater than c.
a+b > c
With the given inches, substitute it into the equations:
a = 3 in
b = 5 in
c = 9 in
3 + 5 > 9
Solve.
9 > 9
This is False since because a + b is not > c. a + b is equal to c.
A runner saved $25 when he purchased a pair of tennis shoes on sale. If the sale price was 35% off the regular price, what was the regular price of the tennis shoes?
Given:
Amount saved in sale = $25
Sale price was 35% off the regular price.
To find:
The regular price of the tennis shoes.
Solution:
Let the regular price of the tennis shoes be x.
Sale price was 35% off the regular price.
\(Discount=\dfrac{35}{100}x\)
Amount saved in sale = $25
\(0.35x=25\)
Divide both sides by 0.35.
\(x=\dfrac{25}{0.35}\)
\(x=71.42857\)
\(x\approx 71.43\)
Therefore, the regular price of the tennis shoes is $71.43.
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ1
One pipe can fill a tank in 24 minutes, a second can fill it in 8 minutes, and a third can fill it in 12 minutes. If the tank is empty, how long will the three pipes, operating together, take to fill it?
4 4/5 minutes
4 minutes
1/6 minute
Answer:
4 mins
Step-by-step explanation:
Tank 1: 24
Tank 2: 8
Tanks 3: 12
So you add them all up to equal the "work". which is one. Looks like this:
*** x/24 + x/8 + x/12 = 1 ***
multiply all by 24
x+3x+2x=24
add like terms
6x=24
divided by 6
x=4
So x=4 minutes.
:)
*** You could check by putting 4 into x by the * (stared) problem
find equations for the lines tangent to the functions given in the previous problem for = 1/2 in either slope-intercept form or point-slope form.
The equations for the lines tangent to the function f(x) = x³ - x² - 2x + 2 at the points where the slope of the tangent line is 1/2 in point-slope form are y = 1/2 x + 2/27 and y = 1/2 x + 17/54.
To find the equation of the tangent lines to a function at a given point, we need to find the derivative of the function and evaluate it at that point.
Let's find the derivative of the function: f(x) = x^3 - x^2 - 2x + 2:
\($$f(x) = x^3 - x^2 - 2x + 2$$\)
Differentiating with respect to x, we get:
\($$3x^2 - 2x - 2 = \frac{1}{2}$$$$6x^2 - 4x - 5 = 0$$\)
Now we need to find the value of x where the slope of the tangent line is 1/2.
Solving for x gives:
\($$3x^2 - 2x - 2 = \frac{1}{2}$$$$6x^2 - 4x - 5 = 0$$\)
This is a quadratic equation that can be solved using the quadratic formula:
\($$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$$$x = \frac{2 \pm \sqrt{4 + 120}}{12}$$$$x = \frac{1}{3}, -\frac{5}{6}$$\)
So we have two points where the slope of the tangent line is 1/2: (1/3, f(1/3)) and (-5/6, f(-5/6)).
We can use point-slope form to write the equations of the tangent lines:
At (1/3, f(1/3)):
\($$y - f(1/3) = \frac{1}{2}(x - 1/3)$$$$y - (\frac{16}{27}) = \frac{1}{2}(x - \frac{1}{3})$$or$$y = \frac{1}{2}x + \frac{2}{27}$$\)
At (-5/6, f(-5/6)):
\($$y - f(-5/6) = \frac{1}{2}(x + \frac{5}{6})$$$$y - (\frac{1}{27}) = \frac{1}{2}(x + \frac{5}{6})$$or$$y = \frac{1}{2}x + \frac{17}{54}$$\)
Hence, the equations for the lines tangent to the function f(x) = x³ - x² - 2x + 2 at the points where the slope of the tangent line is `1/2` in point-slope form are y = 1/2 x + 2/27 and y = 1/2 x + 17/54.
To know more about lines tangent visit:
https://brainly.com/question/31617205
#SPJ11
what mean1. ¬A â§ B â C
2. C ⨠B
3. ¬(C ⧠D)
4. D
The given terms represent various logical statements and operations. ¬A ∧ B → C implies that if "not A" and "B" are both true, then "C" is true. C ∨ B means either "C" or "B" or both must be true.
1. ¬A ∧ B → C: This term represents a logical statement where if "not A" (¬A) and "B" are both true, then it implies (→) that "C" is also true.
2. C ∨ B: This term represents a logical disjunction, meaning that either "C" or "B" or both must be true.
3. ¬(C ∧ D): This term represents the negation (¬) of the conjunction of "C" and "D". In other words, it is not true that both "C" and "D" are true.
4. D: This term simply represents a logical variable, which can be either true or false.
The given terms represent various logical statements and operations. ¬A ∧ B → C implies that if "not A" and "B" are both true, then "C" is true. C ∨ B means either "C" or "B" or both must be true. ¬(C ∧ D) denotes that it's not true that both "C" and "D" are true, and "D" is a logical variable that can be either true or false.
Visit here to learn more about logical statements:
brainly.com/question/4458769
#SPJ11
the total pages a person reads in x days, if the person reads 6 pages a day
Answer: i dont really understand the question but x = 6 if that's what your asking :)
Step-by-step explanation:
y-int coordinates of y=x^2-5x+6, please explain
The y intercepts of the quadratic equation y = x² - 5x + 6 is given by (0 , 6)
and the x intercepts are ( 3 , 0 ) and ( 2, 0 )
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
y = x² - 5x + 6 be equation (1)
On simplifying the equation , we get
y = x² - 2x - 3x + 6
Taking the common factors of the equation , we get
y = x ( x - 2 ) - 3 ( x - 2 )
On factorizing the equation , we get
y = ( x - 3 ) ( x - 2 )
To find the y intercepts , substitute the value of x = 0 , we get
y = ( 0 - 3 ) ( 0 - 2 )
y = ( -3 ) ( -2 )
So , y = 6
Hence , the y intercepts of the equation is ( 0 , 6 )
To learn more about quadratic equations click :
https://brainly.com/question/25652857
#SPJ2
joe bought 6 books for a total of $176.00. math books cost $30.00 and english books cost $28.00. how many of each type of book did he buy?
Answer:
x=4
Step-by-step explanation:
Based on the given conditions, formulate: 28(6-x)+30x = 176
Apply the Distributive Property: 168 - 28x+30x = 176
Combine like terms: 168+2x=176
Rearrange variables to the left side of the equation: 2x=176-168
Calculate the sum or difference: 2x=8
Divide both sides of the equation by the coefficient of variable:x=8/2
Cross out the common factor: x=4
Detemine which equation has the same solutions as the equation below.
4X² + 32X - 28 = 0
A. (X+4)²=23
B. 4(X+4)²=36
C. (X+8)²=57
D. 4(X+8)²=28
The answer is B i hopes this helps
find an equation of a line with a slope of 3.5 and y intercept (0,-4)
Answer:
y= 3.5x -4
Step-by-step explanation:
An experimenter is randomly sampling 5 objects in order from among 56 objects. What is the total number of samples in the sample space
According to the question, there are 38,760,720 possible samples in the sample space when selecting 5 objects from a set of 56 objects.
To determine the total number of samples in the sample space, we need to calculate the number of possible arrangements or permutations of selecting 5 objects from a set of 56 objects.
The formula to calculate permutations is given by:
\(\[ P(n, r) = \frac{n!}{(n-r)!} \]\)
Where n represents the total number of objects and r represents the number of objects being selected.
In this case, we have 56 objects and we want to select 5 objects. Using the permutation formula, we can calculate the total number of samples:
\(\[ P(56, 5) = \frac{56!}{(56-5)!} \]\)
Simplifying the expression:
\(\[ P(56, 5) = \frac{56!}{51!} \]\)
Calculating the factorials:
\(\[ P(56, 5) = \frac{56 \times 55 \times 54 \times 53 \times 52}{1} \]\)
Thus, the total number of samples in the sample space is:
\(\[ P(56, 5) = 38,760,720 \]\)
Therefore, there are 38,760,720 possible samples in the sample space when selecting 5 objects from a set of 56 objects.
To know more about Sample Space visit-
brainly.com/question/30206035
#SPJ11
blonde or brunette? Explain why
(Its for my human interactions course so pls dont report it)
Answer:
imo i would go with brunette because i don't really like blondes. most ones ive met are annoying.
Step-by-step explanation:
16. The table below shows all students at a high school taking Language Arts or Geometry courses, broken down by grade level.
Language Arts Geometry
9th Grade 68 74
10th Grade 54 47
11th Grade 67 112
12th Grade 49 51
Use this information to answer any questions that follow.
Given that the student selected is taking Geometry, what is the probability that he or she is a 12th Grade student? Write your answer rounded to the nearest tenth, percent and fraction.
The probability that the student taking Geometry is a 12th grade student is given as follows:
51/284 = 18%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of students taking geometry are given as follows:
74 + 47 + 112 + 51 = 284.
Out of these students, 51 are 12th graders, hence the probability is given as follows:
51/284 = 18%.
Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
Trig I’m so lost I tried and i just can’t get it
The value of the missing sides are;
1. 12. 9
2. 2. 0
3. 4. 6
4. 5. 3 degrees
How to determine the valueWe have that their are six trigonometric identities. These identities are;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
Using sine identity
sin 57 = 10.8/x
cross multiply the values
x = 12. 9
2. Using cosine identity
cos 47 = x/3
cross multiply
x = 2. 0
3. Using the tangent identity;
tan 41 = 4/x
cross multiply
x = 4. 6
4. The angle of depression is ;
sin X = 27.6/300
sin X = 0. 092
X = 5. 3 degrees
Learn about trigonometric identities at: https://brainly.com/question/22591162
#SPJ1
1. pick out the well defined set from the following 1 a = ( test cricket captains of pakistan 2 b = ( tasty food items)
The well defined set is a = ( test cricket captains of pakistan).
What is a well defined set?A set which is composed of elements which have finite value and does not depend upon the nature of thinking of different persons is called well defined set.
Some key features regarding the set are-
A set is a collection of specific things or a group of specific objects in mathematics. The set theory created by George Cantor is currently applied in all disciplines of mathematics. 'A set is a well-defined collection of separate things of our sense or cognition, to be considered as a whole,' he says.A hard definition of a set is not conceivable, as it is not possible for the ideas of geometrical point, line, and plane. Is the intuitive perception of a gathering or aggregation of real or mental items.The following are some examples of basic set concepts:
a group of current Australian cricketers. a collection of regulations for playing badminton; a set of integers subject to specified conditions; a collection of books from the library; a group of American states;To know more about well defined set, here
https://brainly.com/question/18775887
#SPJ4
The average area of a living room in the United States is 330
square feet. If the living room is in the shape of a square, what are the approximate dimensions of the room? Be able to solve the problem without a calculator and explain your solution.
Answer:
18 by 18 feet
Step-by-step explanation:
The square root of 330 feet is equal to somewhere around 18 feet.
18 X 18 = 324
You took a test and got 12 points on it. The next week, you retook it and got 25% more points than before. How many points did you get when you retook it?
Answer:
15 points
Step-by-step explanation:
12 divied by .25 =3
so there for it would be 15 points
Answer:
The answer is 15 points. Have a great day:)
What is a discrete probability distribution? What are the two conditions that determine a probability distribution?
Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.
According to the statement
we have to explain all about the discrete probability distribution and its two conditions which determine that the this probability is a probability distribution.
So, For this purpose, we know that the
Discrete events are those with a finite number of outcomes
And this is other way that we defines that the A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum.
The main example of this is Binomial.
And the two conditions of the probability distribution is :
The probability of each value of the discrete random variable is between 0 and 1, inclusiveand the sum of all the probabilities is 1.
So, Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.
Learn more about discrete probability distribution here
https://brainly.com/question/17145091
#SPJ4
A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is attached to the front of the boat, which is 7 feet below the level of the pulley. If the rope is pulled through the pulley at a rate of 14 ft/min, at what rate will the boat be approaching the dock when 100 ft of rope is out
When 100 ft of rope is out, the boat will be approaching the dock at a rate of approximately 13.02 ft/min.
To solve this problem, we can use related rates and the concept of similar triangles.
Let's denote the rate at which the boat is approaching the dock as dB/dt (the rate of change of the distance between the boat and the dock).
Given that the rope is being pulled at a rate of 14 ft/min (dr/dt = 14 ft/min), we want to find dB/dt when 100 ft of rope is out.
We can set up a proportion between the lengths of the rope and the distances between the boat and the dock:
Length of rope / Length of distance = Length of rope being pulled / Rate of change of distance
100 ft / (distance - 7 ft) = 14 ft/min / dB/dt
We want to find dB/dt, so let's solve for it:
dB/dt = (14 ft/min * (distance - 7 ft)) / 100 ft
Now, let's substitute the given value for the length of the rope:
dB/dt = (14 ft/min * (100 ft - 7 ft)) / 100 ft
= (14 ft/min * 93 ft) / 100 ft
= 13.02 ft/min
Therefore, when 100 ft of rope is out, the boat will be approaching the dock at a rate of approximately 13.02 ft/min.
For more details about rate:
https://brainly.com/question/28990539
#SPJ4
a pencil costs as much as two erasers, and three erasers cost as much as 2 lollipops. which is more expensive, two pencils or three lollipops?
Three lollipops are more expensive than two pencils.
Given that three erasers cost as much as 2 lollipops.
Let e denote the cost of an eraser and l denote the cost of a lollipop.
A pencil costs as much as two erasers, which implies that the cost of a pencil is two times the cost of an eraser. Therefore, the cost of a pencil is 2e.
Likewise, three erasers cost as much as 2 lollipops, which implies that the cost of an eraser is (2/3) l.
Therefore, the cost of a pencil is 4/3 times the cost of a lollipop.
Thus, the cost of two pencils is 4/3 * 2l = 8/3 l.
The cost of three lollipops is 3l.
Now, we must determine whether 8/3 l is greater than 3l or vice versa.
8/3 l = 2.67 l
Since 2.67 l < 3 l, the conclusion is that three lollipops are more expensive than two pencils.
To learn more about calculating costs visit : https://brainly.com/question/25109150
#SPJ11
Sam is 27 years old his age is 6 years greater than 3 times Brandon's age which method can be used to determine Brandon's age
Answer:
(27+6)÷3
Step-by-step explanation:
(33) ÷ 3
11
Brandon is 11 years old.
Answer:
Solve for b in the equation 3 (b + 6) = 27.
Step-by-step explanation:
I did this with my teacher one time but I forgor how to do it srry anyway hoped this help
yolanda spends 8 2⁄3 hours per month playing soccer. approximately how many hours does she play soccer in a year? (there are twelve months in a year.)
The total time she spends playing soccer in a year is 104 hours, which is calculated using the concept of fraction and arithmetic operations.
What is a fraction?
Any numerical number which does not represent the entire quantity is called a fraction. It depicts a part or portion of something. It is generally written in the form of numerator by denominator.
Calculation of the total time Yolanda spends playing soccer
Given that Yolanda plays soccer for 8 ⅔ hours in a month
Firstly, convert the hours in mixed fraction to improper fraction i.e. 8 ⅔ = (8 × 3 + 2) / 3
= 26 / 3
Now, we need to calculate the no. of hours she played in a year, which is done by multiplying the obtained improper fraction with 12
i.e. (26 / 3) × 12
= 104 hours
Hence, Yolanda spends 104 hours a year playing soccer.
To learn more about the fractions, visit here:
https://brainly.com/question/17220365
#SPJ4
Fill in all of the missing measure in the special right triangles shown below
Answer:
a=14
b=9.9
Step-by-step explanation:
for a.....
sin 45 = opposite/hypotenuse
sin 45 = (7√2)/a
make a the subject of the formula....
a = (7√2)/sin 45
a = 14
for b.....
tan 45 = opposite/hypotenuse
tan 45 = (7√2)/b
make b the subject of the formula...
b = (7√2)/tan 45
b = 9.9
Find the zero of the function below:
f(x) = 4x + 12
Answer:
x = - 3
Step-by-step explanation:
To find the zero, let f(x) = 0, that is
4x + 12 = 0 ( subtract 12 from both sides )
4x = - 12 ( divide both sides by 4 )
x = - 3 ← is the zero
When particles with diameters > 50 μm are inhaled, they are more likely to... [2] (a) ...settle in the alveolar ducts due to diffusion and sedimentation. (b) ...settle all the way down to the alveoli due to a high terminal velocity. (c) ...be deposited in the upper airways by inertial impaction. (d) ...be absorbed into the bloodstream compared to small particles due to the greater surface area. (e) None of the above. 1.2. Which of the following explosion hazard control strategies is not a valid approach? [2] (a) Decreasing the oxygen level to below the MOC. (b) Completely inerting a unit using carbon dioxide. (c) Adding moisture to the dust. (d) Providing workers with ori-nasal respirators. (e) None of the above. 1.3. Particles with a density of 1200 kg.m-³ and an average diameter of 10 µm are aerated from below in a fluidized bed setup. Which of the following do you expect to see? [2] (a) Even fluidization without any bubbling. (b) Fluidization with immediate bubble formation. (c) Channel formation. (d) Spouting. 1.4. A slurry consisting of 55 vol% alumina particles suspended in a solution of 0.1 M sodium bicarbonate at a pH of 7 must be transported along a pipeline, but the high viscosity results in excessive pumping requirements. Which of the following strategies would you recommend to decrease the pumping costs? Motivate your answer. [3] (a) Addition of hydrogen chloride. (b) Addition of more sodium bicarbonate. (c) Addition of low molecular weight adsorbing polymers. (d) Addition of more alumina particles. (e) None of the above.
(a) When particles with diameters > 50 μm are inhaled, they are more likely to be deposited in the upper airways by inertial impaction.
(b) Decreasing the oxygen level to below the MOC is not a valid approach for explosion hazard control.
(c) Particles with a density of 1200 kg.m-³ and an average diameter of 10 µm are expected to show fluidization with immediate bubble formation.
(d) To decrease pumping costs for a slurry with high viscosity, the addition of low molecular weight adsorbing polymers would be recommended.
When particles with diameters > 50 μm are inhaled, they are more likely to be deposited in the upper airways by inertial impaction. Inertial impaction occurs when particles with sufficient mass and momentum are unable to follow the airstream and impact the walls of the airways.
Decreasing the oxygen level to below the Minimum Oxygen Concentration (MOC) is not a valid approach for explosion hazard control. The MOC represents the minimum oxygen concentration required for combustion to occur. Depleting oxygen below this level can prevent combustion and reduce the risk of explosions.
Particles with a density of 1200 kg.m-³ and an average diameter of 10 µm are expected to show fluidization with immediate bubble formation. These particles are relatively dense and larger in size, leading to rapid fluidization and the formation of bubbles within the fluidized bed.
To decrease pumping costs for a slurry with high viscosity, the addition of low molecular weight adsorbing polymers would be recommended. These polymers can act as flow aids, reducing the viscosity of the slurry and improving its pump ability. The polymers adsorb onto the surface of the particles, reducing interparticle interactions and increasing fluidity. This helps in reducing the energy required for pumping the slurry through the pipeline.
In summary, particles > 50 μm settle in the upper airways, and decreasing oxygen below the MOC is not a valid explosion hazard control strategy, particles with a density of 1200 kg.m-³ and an average diameter of 10 µm show fluidization with immediate bubble formation, and the addition of low molecular weight adsorbing polymers is recommended to decrease pumping costs for a high-viscosity slurry.
Learn more about hazard control here: https://brainly.com/question/29759802
#SPJ11
what are the prime factors of 24 and 42
Answer:
the prime factors of 24 and 42 is 6
Step-by-step explanation:
Answer:
2,3
Step-by-step explanation:
Both 24 and 42 have two of the same prime factors which is 2 and 3. The prime factors of 24 are 2 and 3. Some of the prime factors of 42 is 2,3, and 7. 2 and 3 are prime numbers and 24 and 42 both have them as factors.
The Greatest Common Factor of 24 and 42 is 6.
Hope this helps.
Solve for MRS
y= 24 - (4(square root of x))
The Marginal Rate of Substitution (MRS) for the given function is equal to -2/sqrt(x). To find the Marginal Rate of Substitution (MRS), we need to take the derivative of the given function with respect to x.
Given: y = 24 - 4(sqrt(x))
Step 1: Differentiate the function y with respect to x.
dy/dx = d/dx(24 - 4(sqrt(x)))
Step 2: Differentiate each term separately using the power rule and chain rule.
dy/dx = 0 - 4(1/2)(x^(-1/2))(1)
Step 3: Simplify the derivative.
dy/dx = -2(x^(-1/2))
Step 4: Rewrite the derivative in terms of MRS.
MRS = dy/dx = -2/sqrt(x)
Therefore, the Marginal Rate of Substitution (MRS) for the given function y = 24 - 4(sqrt(x)) is -2/sqrt(x).
The negative sign indicates that the MRS is inversely related to x, which means as x increases, the MRS decreases. The value of MRS represents the rate at which a consumer is willing to substitute y (the dependent variable) for an incremental change in x (the independent variable). In this case, as x increases, the consumer is willing to substitute less y for the additional units of x.
To learn more about marginal rate, click here: brainly.com/question/30001195
#SPJ11