Answer:
\(x = 0 \leqslant 0.25\)
I'm trying to figure out what .580 repeating is as a fraction (80 being the repeating) I've looked on a ton of websites, and they are all super confusing. I'm looking for an easy way to solve this.
Answer:
confusing. I'm looking for an easy way to solve this.
Step-by-step explanation:
a compressor has a bore of 8 centimeters and a stroke of 10 centimeters. what is the displacement of the compressor?
The displacement of the compressor is 628 cubic centimeters. Other factors that affect the performance of a compressor include its operating pressure, flow rate, efficiency, and power consumption.
To find the displacement of the compressor, we need to use the formula:
Displacement = (pi/4) x bore^2 x stroke
Here, the bore is 8 centimeters and the stroke is 10 centimeters. So, substituting these values in the formula, we get:
Displacement = (pi/4) x 8^2 x 10
Displacement = (3.14/4) x 64 x 10
Displacement = 628.32 cubic centimeters
A compressor is a mechanical device that is used to increase the pressure of a gas or air by reducing its volume. It works by compressing the gas or air in a cylinder and then transferring it to a storage tank or other equipment. The displacement of a compressor is a measure of the volume of gas or air that is displaced or compressed during one complete cycle of the compressor. Therefore, the displacement of the compressor is 628 cubic centimeters. This means that during one complete cycle of the compressor, it displaces or compresses 628 cubic centimeters of gas or air. The displacement is an important parameter of a compressor, as it determines its capacity or the amount of gas or air that it can compress in a given time.
To know more about displacement visit :-
https://brainly.com/question/28297627
#SPJ11
The displacement of the compressor is 160π cubic centimeters.
Explanation:To find the displacement of the compressor, we first need to understand what displacement means. Displacement is the change in position of an object in a specific direction. In this case, the compressor has a bore of 8 centimeters and a stroke of 10 centimeters. The displacement of the compressor can be calculated as the product of the bore area (πr^2) and the stroke length.
First, we need to find the radius of the bore. Since the diameter is 8 centimeters, the radius would be half of that, which is 4 centimeters.Now, we can calculate the displacement by multiplying the bore area (πr^2) and the stroke length. The bore area is π(4^2) and the stroke length is 10 centimeters. Plugging in these values, we get:Displacement = π(4^2) * 10 = 16π * 10 = 160π cubic centimeters.
Learn more about Displacement of a compressor here:
https://brainly.com/question/33465623
#SPJ12
if roy is 4 years older than his brother and the product of their ages is 165, how old is roys younger brother
Roy's younger brother's age is 11 years.
According to the question,
We have the following information:
If Roy is 4 years older than his brother and the product of their ages is 165.
Now, let's take the age of Roy's younger brother to be x years.
Age of Roy = 4+x
So, we have the following expression:
x(4+x) = 165
\(x^{2} +4x-165=0\)
Now, we will factorize this equation by splitting the middle term:
\(x^{2}\)+15x-11x-165 = 0
Now, taking x as a common factor from the first two terms and -11 as a common factor from the last two terms:
x(x+15)-11(x+15) = 0
Taking (x+15) as a common factor:
(x+15) (x-11) = 0
x+15 = 0 and x-11 = 0
x = -15 and x = 11
Now, we know that age can not be negative.
Hence, Roy's younger brother is 11 years old.
To know more about age here
https://brainly.com/question/12700972
#SPJ4
Micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?
explanation is needed
Answer:
Jocelyn = 8 Miles an Hour
Micheal-Anthony = 6 Miles a Hour
Jocelyn Run Faster than Micheal-Anthony.
Step-by-step explanation:
Important information:
Michael-Anthony runs 3 Miles in 20 Minutes.
Jocelyn Runs 4 Miles in 30 Minutes.
Continues at pace for 1 Hour.
Questions that Need to be Answer:
How many miles does each person each person run in an hour?
Who runs faster?
Explanation/Solution:
So, We know that 1 Hour = 60 Minutes and three 20 minutes equal 60 Minutes also known as 1 Hour..
Since, three 20 minutes equal 1 Hour that means
Micheal-Anthony Run 6 Miles a Hour adding the 20 Minutes equal 9 Miles
Hence, Micheal-Anthony Run 9 Miles..
We know that 1 Hour = 60 Minutes and two 30 Minutes equal 60 Minutes also known as 1 Hour..
Since, two 30 Minutes equal 1 Hour that means
Jocelyn Run 8 Miles a Hour adding the 30 Minutes equal 12 Miles
Hence, Jocelyn Run 12 Miles..
For these Reason, You can tell that Jocelyn Run 8 Miles an Hour and Micheal-Anthony Run 6 Miles a Hour and Jocelyn Run Faster than Micheal-Anthony.
A pizza restaurant has hamburger, pepperoni, Canadian bacon, and sausage. How many ways can a three-topping meat pizza be made?
Answer:
12 ways?
Step-by-step explanation:
Answer and Step-by-step explanation:
The answer is 12.
This is because there are 4 toppings, and we have to make a 3-way topping pizza.
#teamtrees #PAW (Plant And Water)
Find the vertical height of given square based pyramid
Answer:
Step-by-step explanation:
a=12,l=10,h=?
Using pythagorus theorem;
h=10cm, p=? and b=12/2=6cm
now,
p=\(\sqrt{x}\)h^2+b^2
=\(\sqrt{\)10^2+6^2
=8cm
vertical height is 8cm
a circle centered at the origin has a radius of 12. What is the equation of the circle?
After looking through the sentence comparison examples, what do you think the guidelines are that tell you when to use the different forms of you?" Write down your thoughts about this grammar principle. Specifically, write down a "rule" that you think Spanish uses to explain the difference between tú and usted. Then check out the grammar pattern in the next link to see if your hunch was correct
The equation of a circle centered at the origin with a radius of 12, which is x² + y² = 144.
To find the equation of the circle, we use the standard form of the equation of a circle, which is:
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the center of the circle, and r is the radius.
In our problem, the center of the circle is at the origin, which means h = 0 and k = 0. The radius is given as 12, so we have r = 12. Substituting these values into the standard form equation, we get:
(x - 0)² + (y - 0)² = 12²
Simplifying, we get:
x² + y² = 144
Therefore, the equation of the circle centered at the origin with a radius of 12 is x² + y² = 144.
To know more about equation here
https://brainly.com/question/10413253
#SPJ4
I need help pls because I am confused.
Answer:
1/8
Step-by-step explanation:
The answer before you simplyify will be 24/4. that = 6
Sam owns a decorative bowls & dishes store. He sells a set of plates (including 8 plates) for $25. Considering that he pays $2 for each plate and has a fixed cost of $45,000. (4+4+7 = 15 Marks)
a) How many sets of plates need to be sold to break even?
b) Find the break-even revenue.
c) He recently hired an assistant; this is expected to cost $35,000 and there is a 15% increase in the variable cost per each plate. Based on the additional cost, calculate both break-even revenue and break-even volume
(a) Sam needs to sell 5,000 sets of plates to break even.
(b) The break-even revenue is $125,000.
(c) The break-even revenue, considering the additional cost, is $303,025.
a) To calculate the number of sets of plates that need to be sold to break even, we need to consider the fixed cost, variable cost, and selling price per set.
Each set of plates includes 8 plates, and the cost of each plate is $2. Therefore, the variable cost per set of plates is 8 * $2 = $16.
To break even, the total revenue from selling sets of plates should cover the fixed cost and variable cost. We can calculate the break-even point by dividing the fixed cost by the contribution margin per set.
Contribution margin per set = Selling price per set - Variable cost per set
Contribution margin per set = $25 - $16 = $9
Break-even point = Fixed cost / Contribution margin per set
Break-even point = $45,000 / $9
Break-even point = 5,000 sets of plates
Therefore, Sam needs to sell 5,000 sets of plates to break even.
b) To obtain the break-even revenue, we multiply the break-even point (number of sets) by the selling price per set.
Break-even revenue = Break-even point * Selling price per set
Break-even revenue = 5,000 * $25
Break-even revenue = $125,000
The break-even revenue is $125,000.
c) With the addition of the assistant, the fixed cost increases by $35,000, resulting in a new fixed cost of $45,000 + $35,000 = $80,000.
The variable cost per plate increases by 15%, which means it becomes $2 + ($2 * 0.15) = $2.30.
The new variable cost per set of plates is 8 * $2.30 = $18.40.
Contribution margin per set = Selling price per set - Variable cost per set
Contribution margin per set = $25 - $18.40 = $6.60
Break-even point = Fixed cost / Contribution margin per set
Break-even point = $80,000 / $6.60
Break-even point ≈ 12,121.21 sets of plates
Therefore, Sam needs to sell approximately 12,121 sets of plates to break even with the additional cost.
Break-even revenue = Break-even point * Selling price per set
Break-even revenue = 12,121 * $25
Break-even revenue = $303,025
The break-even revenue, considering the additional cost, is $303,025.
Learn more about break- even revenue here, https://brainly.com/question/21137380
#SPJ11
Which is a sum of cubes?
a3 + 18
a6 + 9
a9 + 16
a12 + 8
Answer:
a^12+8
Step-by-step explanation:
let's check all the expressions
1. a^3+18
here 18 is not a perfect cube.
2. a^6+9
here 9 is not a perfect cube.
3. a^9+16
here 16 is not a perfect cube.
4. a^16+8
here 8 is a perfect cube, thus we can write above expression by using laws of exponents as
(a^4)^3+2^3
Thus, is a sum of cubes.
a^12+8
Joey is 5 years less than three times the age of his son. Joey is 43 years old.
A) If is son's age is x years, write an expression in x to represent Joey's age.
B) Write an equation in x that can be used to find the value of x and find the value of x.
(Note: I am a 13 year old girl in 7th grade)
Answer:
amogus
Step-by-step explanation:
in a shipment of 54 vials, only 16 do not have hairline cracks. if you randomly select one vial from the shipment, what is the probability that it has a hairline crack?
The probability that it has a hairline crack is 19/27.
Given that;
In a shipment of 54 vials, only 16 do not have hairline cracks.
Let shipment of 54 Vials;
x(s) = 54
Let,' A ' be the event that selects 16
x(A) = 16
P(A) = x(A) / x(s)
= 16/54
But only 16 don't have hairline Crakes;
To solve a given case;
The probability that it has a hairline crack is:
P(A') = 1 - P(A)
= 1- 16/54
P(A') = 19/27
Hence, the probability that it has a hairline crack is 19/27.
To learn more about probability click here:
brainly.com/question/11234923
#SPJ4
if(x) = x4 - 6x2 +3 Find the intervals where f is concave up and where it is concave down. Locate all inflection points. (You may write on the next page if you need more space for this question.)
You have the following function:
\(f(x)=x^4-6x^2+3\)In order to determine the intervals, it is necessary to calculate the first derivative of the function, equal it to zero, and identify the zeros of the equation, just as follow:
\(\begin{gathered} f^{\prime}(x)=4x^3-12x=0 \\ 4x(x^2-3)=0 \end{gathered}\)the zeros of the previous equation are:
\(\begin{gathered} x_1=0 \\ x_2=\sqrt[]{3} \\ x_3=-\sqrt[]{3} \end{gathered}\)Next, it is necessry if the previous values are minima or maxima. Evaluate the second derivative for the previous values of x. If the result is greater than 0, then, it is a minimum. If the result is lower than zero, it is a maximum:
\(\begin{gathered} f^{\prime}^{\prime}(x)=12x^2-12 \\ f^{\prime}^{\prime}(0)=12(0)^2-12=-12<0 \\ f^{\prime}^{\prime}(\sqrt[]{3})=12(\sqrt[]{3})^2-12=24>0 \\ f^{\prime}^{\prime}(-\sqrt[]{3})=12(-\sqrt[]{3})^2-12=24>0 \end{gathered}\)Then, for x=0 there is a maximum, and for x=-√3 and x=√3 there is a minimum.
Hence, until x = -√3 the function decreases. In between x=-√3 and x=0 the function increases. In between x=0 and x=√3 the function decreases and from x=√3 the function increases.
Furthermore, it is necessary to find the inflection points. Equal the second derivative to zero and solve for x:
\(\begin{gathered} f^{\prime}^{\prime}(x)=12x^2-12=0 \\ x^2=1 \\ x=\pm1 \end{gathered}\)then for x=1 and x=-1 there are inflection points.
The interval where the function is concave up is:
(-∞ , -1) U (1, ∞)
The interval where the function is concave down is:
(-1,1)
PYTHAGOREAN THEOREM BASED QUESTION: If you show steps I will give Brainliest
An artist joined three square regions at their
vertices to create the figure shown in the diagram.
The artist will use small congruent square tiles to
cover each region without any gaps or overlaps.
Based on the information, which statement is true?
A. The number of tiles needed to cover Region X
is the same as the number of tiles needed to
cover both Region Y and Region Z.
B. The number of tiles needed to cover Region Y
is the same as the number of tiles needed to
cover both Region X and Region Z.
C. The number of tiles needed to cover Region Z
is the same as the number of tiles needed to
cover both Region X and Region Y.
D. None of these
Answer:
C. The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y.
Step-by-step explanation:
It is known that x1 and x2 are roots of the equation 3x^2+2x+k=0, where 2x1=−3x2. Find k.
Answer:
k = 8
Step-by-step explanation:
Since the roots of the equation 3x² + 2x + k are x₁ and x₂ and 2x₁ = 3x₂.
By the roots of an equation, ax² + bx + c , where its roots are x₁ and x₂. It follows that sum of roots are x₁ + x₂ = -b/a and product of roots are x₁x₂ = c/a.
Comparing both equations, a = 3 b = 2 and c = k.
So, x₁ + x₂ = -b/a = -2/3 and x₁x₂ = c/a = k/3
x₁ + x₂ = -2/3 and x₁x₂ = k/3
3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k (2)
Since 2x₁ = -3x₂, and -2x₁ = 3x₂substituting this into equations (1) and (2) above, we have
3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k (2)
3x₁ + (-2x₁) = -2 and x₁(3x₂) = k
3x₁ - 2x₁ = -2 and x₁(3x₂) = k
x₁ = -2 and x₁(-2x₁) = k
x₁ = -2 and -2x₁² = k
Substituting x₁ = -2 into -2x₁² = k, we have
-2x₁² = k
-2(-2)² = k
2(4) = k
8 = k
So, k = 8
The required value of k is -18
Given the quadratic equation \(3x^2+2x+k=0\)
Let the roots of the equation be \(x_1 \ and \ x_2\)
From the quadratic equatin:
a = 3, b = 3 and c = k
Sum of root = -b/a
x1 + x2 = -3/3
x1 + x2 = -1 ....................... 1
product of roots = c/a
x1x2 = k/3 ....................... 2
Recall that 2x1=−3x2
x1 = -3x2/2 ........... 3
Substitute equation 3 into 1:
x1 + x2 = -1 ....................... 1
-3x2/2 + x2 = -1
-3x2 + 2x2 = -2
-x2 = -2
x2 = 2
From equation 2:
x1x2 = k/3
2x1 = k/3
-3x2 = k/3
-3(2) = k/3
-6 = k/3
k = -18
Hence the required value of k is -18
Learn more on quadratic function here: https://brainly.com/question/11631534
what is the equation of the line
Answer:
x=3
Step-by-step explanation:
Answer:
X = 3
Step-by-step explanation:
I HOPE, PLS DON'T HATE ME :(
Please Help!
The three sides lengths of four triangles are given. Which triangle is a right triangle?
A- Triangle 2: 8,15,17
B-Triangle 3: 15, 16, 23
C- Triangle 1: 10, √65, 14
D- Triangle 4: 9, √260, 19
9514 1404 393
Answer:
A- Triangle 2: {8, 15, 17}
Step-by-step explanation:
You may recognize that the triple of choice A is a Pythagorean triple, so can be the side lengths of a right triangle.
Checking the numbers can be done nicely by a graphing calculator or spreadsheet to help avoid the tedium of doing it "by hand".
The basic idea is that the triangle will be a right triangle if the sum of the squares of the shorter sides is the square of the longer side.
The map is going to be painted at the entrance of the campsite. It will be enlarged by a scale factor of 4. How many square inches will the map cover?
I need a picture of the map duh.
- Chilio
9x+3y=-6 rewrite this equation in slope intercept form (y=Mx+b)
HELP ME WITH THESE GEOMTRY QUESTIONS PLEASE I WOULD REALLY APPRECIATE IT AND CAN YOU TRY TO SHOW THE WORK THANK YOU SO MUCH
Answer:
1062
Step-by-step explanation: Find the area of each side then add it all up
According to the property
which choice is equivalent to the quotient
below?
The value of the equation after simplifying is A = √6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be p = √30
Let the second number be q = √5
And , A = p/q
Substituting the values in the equation , we get
A = √30 / √5
On further simplification , we get
A = √ ( 30/5 )
A = √6
Therefore , the value of A is √6
Hence , the equation is A = √6
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ7
HELPP
Which table has a constant of proportionality between yyy and xxx of 0. 90. 90, point, 9? Choose 1 answer: Choose 1 answer: (Choice A) A xxx yyy 101010 999 181818 171717 292929 282828 (Choice B) B xxx yyy 444 3. 63. 63, point, 6 666 5. 45. 45, point, 4 121212 10. 810. 810, point, 8 (Choice C) C xxx yyy 333 3. 33. 33, point, 3 999 9. 99. 99, point, 9 111111 12. 112. 1
Answer:
C
Step-by-step explanation:
) Are 9:6 and 18: 12 equivalent?
Answer:
Yes
Step-by-step explanation:
9 18
_ = _
6 12
9*2=18
6*2=12
2=2 TRUE
WHICH LINE IS COMMON TO PLANES R AND S
The equations or additional details about planes R and S, such as their normal vectors or points that lie on the planes, I can help you find the common line between them.
To determine which line is common to planes R and S, we need additional information about the planes.
The common line between two planes occurs when they intersect, which typically happens along a line.
Without knowing the specific equations or properties of planes R and S, it is not possible to identify the exact line common to both planes.
The common line between two planes is called their intersection line. It occurs where the two planes meet, forming a line of intersection.
The properties of this line depend on the orientation and position of the planes relative to each other.
The equation of a plane can be represented in the form Ax + By + Cz + D = 0, where A, B, C, and D are constants.
By comparing the equations of planes R and S, it is possible to determine their relationship and find the common line.
For similar questions on common line
https://brainly.com/question/30162650
#SPJ8
what is the value of b
√2 is the value of the side b.
In the given triangle from the sine rule,
sin60/a = sin90/2√2 = sin 30/b
Thus,
1/2√2 =1/2/b
b = √2
Therefore, the value of b is √2.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ1
Find the slope and y-intercept of y=4/3 x-3
Answer:
Slope: 4/3
Y-intercept: -3
Step-by-step explanation:
The formula is...
y = mx + b
Where m is slope and b is y-intercept so in this case, 4/3 is slope and -3 is the y-intercept.
Hope that helps and have a great day!
Answer: The slope is 43, the y- intercept of y=4/3 x-3 is 0,-3.
Step-by-step explanation:
Show if 139 and 450 are equivalent under modulus 7 or not.
The equivalent under modulus 7 of 139 and 450 is not same. A modulus is the whole-number remainder in a division equation. It can be calculated using the modulo operation. It helps determine whether or not a given integer is odd or even. Therefore, we can solve this problem by utilizing the modulo function.
Modulus refers to the process of converting a decimal number into a whole number. It is used to determine if a number is even or odd by looking at the last digit. If the last digit is even, the number is even. If the last digit is odd, the number is odd. The remainder after division is the modulus.
The symbol for modulus is % .To see if 139 and 450 are equivalent under modulus 7 or not, we will do the following:
We'll convert 139 to its remainder under modulus 7 using the modulo function.
139 % 7 = 4
We'll convert 450 to its remainder under modulus 7 using the modulo function.
450 % 7 = 3
Now, since both remainders are not the same, we can say that 139 and 450 are not equivalent under modulus 7.
Learn more about modulus - https://brainly.com/question/13257353
#SPJ11
Help!!!!
Describe the transformation from the graph of f(x) = x to the graph of g(x) = 3/4x
A function f(x) is vertically compressed by a factor of 3/4 to form a function g(x)
In this question, we have been given two functions f(x) = x and g(x) = 3/4x
We need to describe the transformation from the graph of f(x) = x to the graph of g(x) = 3/4x
Here, the parent function is f(x) = x
and the transformed function is g(x) = 3/4x
That is, the parent function was multiplied by 3/4, which means that it was vertically compressed by a factor of 3/4, as when a function f(x) is multiplied by a value of a such that |a| < 1, it is vertically compressed by a factor of a.
Therefore, function f(x) is vertically compressed by a factor of 3/4 to form a function g(x)
Learn more about the transformation here:
brainly.com/question/16965753
#SPJ1
what is the last digit of 3 with a power of 2011
So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.
etermine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x)=cos 2
x on [0,π] Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an exact answer, using π as needed. Use a comma to separate answers as needed.) A. The absolute minimum is at x=, but there is no absolute maximum. B. The absolute maximum is at x= and the absolute minimum is at x= C. The absolute maximum is at x=, but there is no absolute minimum. D. There are no absolute extreme values for f(x) on [0,π].
The given function is f(x) = cos 2x and it has been defined on the interval [0, π].Absolute Extrema of a Function For finding the absolute extrema, we need to check all critical points and endpoints of the given interval.
For finding the critical points of the given function, we have to solve the first-order derivative of the function with respect to x. So, let's first find the derivative of the given function.
\(f(x) = cos 2x →f'(x) = -2 sin 2x\) Let's set \(f'(x) = 0\)
to find the critical points.-\(2 sin 2x = 0\) → \(sin 2x = 0\) → 2x = nπ
where n is an integer \(2x = 0\), π, 2π ∴ x = 0, π/2, π
For the interval [0, π], we have the critical points x = 0, π/2, and π.
Now, let's evaluate the function at these critical points and endpoints of the given interval.
\(⟹ f(0) = cos 2(0)\) \(= cos 0 = 1⟹\) f(π/2)\(= cos 2\)(π/2) = cos π = -1⟹ f(π) = cos 2(π) = cos 0 = 1
The absolute maximum value of the function is 1 and it occurs at x = 0 and x = π while there is no absolute minimum value for the function on the interval [0, π].
To know more about extrema visit:
https://brainly.com/question/2272467
#SPJ11