Answer: First you want to divide $10 from 6 tacos. You should get a number like 1.6666 continuing, the. You want to multiply the 4 tacos times the answer you got from 10/6 so your problem would look like 1.66667 x 4
You should get 6.6667 or you can sum it up with 6.67 or $6.70
In the figure below, triangle JKL is isosceles, with JK = LK, and triangle LMN is equilateral. K M M N L Note: picture not drawn to scale If m<ZJKL = 32, what is m<ZKLM? A 56 B. 41 C. 51 D. 46
Answer: 56
Step-by-step explanation:
Eric’s bicycle tires have a 30-inch diameter and Maggie’s bicycle tires have a 24-inch diameter. How much farther do Eric’s tires travel compared to Maggie after 9 complete revolutions? Use pi= 3.14 . Enter your answer correct to one decimal place. (giving brainliest)
Answer:
169.56 inches farther
Step-by-step explanation:
Eric: 30 x 3.14 = 94.2 inch per revolution
Maggie: 24 x 3.14 + 75.36 inch per revolution
94.2 x 9 = 847.8 inches
75.35 x 9 = 678.24 inches
847.8 - 678.24 = 169.56 inches farther
determine the z-coordinate of the mass center of the homogeneous paraboloid of revolution shown.
The z-coordinate of the mass center of the homogeneous paraboloid of revolution shown is (12/5) units.
The determination of the z-coordinate of the mass center of the homogeneous paraboloid of revolution requires a long answer.
Firstly, we need to define the mass density of the paraboloid. Since it is a homogeneous object, its mass density is constant throughout its volume.
Let us denote this density as ρ.
Next, we need to find the volume of the paraboloid.
The volume of a paraboloid of revolution with a height h and a base radius r is given by V = (π/2) * r^2 * h/3.
In this case, the height of the paraboloid is 4 units and the radius of the base is 2 units. Thus, the volume of the paraboloid is:
V = (π/2) * (2)^2 * 4/3 = (8π/3) units^3
Now, we can find the mass of the paraboloid by multiplying its volume by its density:
M = ρ * V = ρ * (8π/3) units^3
The next step is to find the x and y coordinates of the mass center of the paraboloid.
We can do this by using double integrals:
x = (1/M) * ∬(paraboloid) x * ρ * dV
y = (1/M) * ∬(paraboloid) y * ρ * dV
Since the paraboloid is symmetric about the z-axis, we know that its mass center will lie on this axis, and thus, its x and y coordinates will be zero.
Finally, we need to find the z-coordinate of the mass center. We can do this by using the same double integral, but this time we integrate over the z-axis:
z = (1/M) * ∬(paraboloid) z * ρ * dV
To set up the double integral, we can use cylindrical coordinates, with ρ ranging from 0 to 2 and θ ranging from 0 to 2π.
The z-coordinate of any point on the paraboloid is given by z = (1/16) * (x^2 + y^2), so we can substitute this into the double integral:
z = (1/M) * ∫(0 to 2π) ∫(0 to 2) ∫(0 to (1/16)*(ρ^2)) ρ * z * ρ * ρ * dρ dθ dz
After evaluating this integral, we get:
z = (3/5) * h = (12/5) units
Therefore, the z-coordinate of the mass center of the homogeneous paraboloid of revolution shown is (12/5) units.
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Abboy has 800, he spend 160. What fraction of his original money does he have left
Answer:
80%
Step-by-step explanation:
800-160=640
640/800=.8
.8=80%
Jack has a square garden in front of his house. The garden has an area of 66 square yards. Find the length of each side of the garden. Round your answer to the nearest tenth of a yard.
Answer:
16.5 :)
Step-by-step explanation:
hope this helps !!
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6. What must be true in order for two triangles to be similar?
11. What is the measure of angle y?
A) 130°
B) 50°
C) 40°
D) 90°
Answer:
50
Step-by-step explanation:
The sum of angles in a triangle is 180 so the answer is 180 - 90 - 40 = 50.
Also, for your first question, 2 corresponding angles of the triangles must be congruent.
Answer:
B. 50°
Step-by-step explanation:
40°+90°+y = 180°
130°+y°=180°
y° =180°-130°
y = 50° (sum of the interior angles in a triangle=180°)
how can a fractionating column be prepared from a standard distillation column?
The steps that you need to follow are:
Start with a standard distillation columnIncrease the height of the columnAdd fractionation trays or packing materialInstall reflux systemOptimize tray or packing designHow can a fractionating column be prepared from a standard distillation column?A fractionating column can be prepared from a standard distillation column by incorporating additional components and features to enhance the separation of components based on their boiling points.
You can follow the next steps to prepare a fractionating column from a standard distillation column:
Start with a standard distillation column: A standard distillation column typically consists of a vertical column with a condenser at the top and a reboiler at the bottom. It may also have trays or packing material inside to increase the surface area for vapor-liquid contact.Increase the height of the column: A fractionating column is typically taller than a standard distillation column. This increased height provides more separation stages, allowing for better separation of components with close boiling points.Add fractionation trays or packing material: Fractionating columns incorporate trays or packing material to provide more surface area for vapor-liquid contact. The trays can be perforated plates or structured packing designed to create more stages for separation. Packing material can be added to increase the surface area available for vapor-liquid interaction.Install reflux system: A fractionating column requires a reflux system to control the liquid flow back down the column. This is usually accomplished using a reflux drum or condenser system. The reflux allows for repeated condensation and re-vaporization of the components, aiding in separation.Optimize tray or packing design: The design and spacing of the trays or packing material can be optimized based on the specific separation requirements. This includes considerations such as tray spacing, tray design, or type of packing material used.Learn more about distillation column at:
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a) Construct a truth table to determine whether the
following expression are logically equivalent or not.
((p ∨ r) ∧ (q ∨ ¬r)) ⇔ p ∨ q
The expressions ((p ∨ r) ∧ (q ∨ ¬r)) and (p ∨ q) are logically equivalent.
A truth table is a tool that is used to compare and contrast the results of various logic statements. It allows you to find the actual result of a logic statement given a particular set of inputs.
The main advantage of a truth table is that it allows you to find out whether two expressions are logically equivalent or not.
With the above information provided, we can now construct a truth table to determine whether the following expression are logically equivalent or not.
Let's start by constructing the truth table:
Truth table
pqr¬rq ∨ rp ∨ rq ∨ ¬r(p ∨ r) ∧ (q ∨ ¬r)(p ∨ r) ∧ (q ∨ ¬r)
⇔ p ∨ qq ∨ ¬rq ∨ qq ∨ ¬rp ∨ ¬r
TTFTRTTFTTFFFTTTTTFFFTFTFFTTFFTFFTT
As you can see from the truth table, the last two columns are identical.
This means that the expressions ((p ∨ r) ∧ (q ∨ ¬r)) and (p ∨ q) are logically equivalent.
We can also observe that the columns of the last two expressions have the same values, which means that the two expressions are equivalent.
Therefore, the answer is that the given expressions are logically equivalent, based on the truth table constructed above.
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3. At an exhibition, the ratio of the number of men to the number of women was 10:3. Halfway through the exhibition, 110 men left and the number of men was 5/12 of the total number of people who remained behind. How many women were there at the exhibition?
Answer:
Step-by-step explanation:
Let's assume the initial number of men at the exhibition is 10x, and the initial number of women is 3x.
After 110 men left, the number of men remaining is 10x - 110.
The total number of people remaining is (10x - 110) + (3x) = 13x - 110.
According to the given information, the number of men remaining (10x - 110) is 5/12 of the total number of people remaining (13x - 110). We can write this as an equation:
10x - 110 = (5/12)(13x - 110)
To solve this equation, we can start by simplifying both sides:
10x - 110 = (65/12)x - (55/6)
To get rid of the fractions, we can multiply both sides of the equation by 12:
12(10x - 110) = 65x - 110(2)
120x - 1320 = 65x - 220
Next, we can bring the x terms to one side and the constant terms to the other side:
120x - 65x = 1320 - 220
55x = 1100
Dividing both sides by 55, we find:
x = 20
Now, we can substitute the value of x back into the initial expressions to find the number of men and women:
Number of men = 10x = 10(20) = 200
Number of women = 3x = 3(20) = 60
Therefore, there were 60 women at the exhibition
Hope this answer your question
Please rate the answer and
mark me ask Brainliest it helps a lot
Find the slope and the y-intercept of the graph of y = -4/5x-2
we have y = -4/5x-2
this is the equation of the line in slope intercept form
y=mx+b
where
m=-4/5
b=-2
therefore
slope is -4/5
y-intercept i -2
Interpret the sentence in terms of f, f', and f".
The airplane takes off smoothly. Here, f is the plane's altitude.
The sentence "The airplane takes off smoothly" can be interpreted in terms of the function f, its derivative f', and its second derivative f". In this interpretation, f represents the altitude of the plane, which is a function of time.
The sentence implies that the function f is continuous and differentiable, indicating a smooth takeoff.
The derivative f' of the function f represents the rate of change of the altitude, or the velocity of the airplane. If the airplane takes off smoothly, it suggests that the derivative f' is positive and increasing, indicating that the altitude is increasing steadily.
The second derivative f" of the function f represents the rate of change of the velocity, or the acceleration of the airplane. If the airplane takes off smoothly, it implies that the second derivative f" is either positive or close to zero, indicating a gradual or smooth change in velocity. A positive second derivative suggests an increasing acceleration, while a value close to zero suggests a constant or negligible acceleration during takeoff.
Overall, the interpretation of the sentence in terms of f, f', and f" indicates a continuous, differentiable function with a positive and increasing derivative and a relatively constant or slowly changing second derivative, representing a smooth takeoff of the airplane.
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Can
the digits
digits 1-9,
you arrange
using each digit only once and
inserting + and -
signs as
needed, to produce a sum of 100?
1 2 3 4 5 6 7 8 9 = 100
The possible solutions to this problem, but one such solution is:
1 + 2 + 3 - 4 + 5 + 6 + 78 + 9 = 100
To find a solution to this problem, we need to arrange the digits 1-9 in a way that their sum evaluates to 100 when we add and subtract them using the plus (+) and minus (-) operators. There are many possible solutions to this problem, but one such solution is:
1 + 2 + 3 - 4 + 5 + 6 + 78 + 9 = 100
Here, we have used all the digits from 1 to 9 exactly once and arranged them in a way that gives us a sum of 100 when we add and subtract them using the given operators.
It is important to note that there can be multiple solutions to this problem, and finding a solution requires a bit of creative thinking and experimentation with different arrangements of the digits.
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Note the full question is :
The digits 1-9, you arrange using each digit only once and
inserting + and - signs as needed, to produce a sum of 100? 1 2 3 4 5 6 7 8 9 = 100
How can you use the numbers 1 to 9, once each, to total 100 by adding together?
Please help
which of the following is true about the graph of the equation y= -5x+10
Help me on my homework pls
Answer:
point a would be (-4,3) point b would be (0,5) point c would be (2,1)
Please help me with this Geometry Question
The value of x from the given figure is 12 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔADC and ΔABC,
∠C=∠C (Reflex property)
AC=AC (Reflex property)
∠BAC=∠CDA=90°
By AA similarity, ΔADC ~ ΔABC
So, AC/BC = DC/AC
x/36 = 4/x
x²=36×4
x²=144
x=12 units
Therefore, the value of x from the given figure is 12 units.
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In the parallelogram below, x=
Answer:
23°
Step-by-step explanation:
By interior angle sum postulate of a triangle.
x = 180° - ( 124° + 33°)
x = 180° - 157°
x = 23°
The value of x is 23°
What is the angle sum property of a triangle?
The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°
Given here, in the given triangle separated by the diagonal in the parallelogram two angles are 33° and 124°
therefore by angle sum property, the value of the third angle is
is x=180°-(33°+124°)
x= 23°
Hence, the value for x is 23°
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3rd times the charm. Someone please help me.
Roma swims at a rate of 54 metre per minute. At this rate how long does she take to swim 270 metre ?
Answer:
Step-by-step explanation:
54 times 270 = 14580
Question 20. Chapter 12. Do all 1-4 Parts. Please show step by step
on how you got each answer.
a) What is the optimal size of the production run? ______
(round your response to the nearest whole numb
The optimal size of the production run is 1994.
Explanation:
Part A: The formula for the optimal production run size is:
EOQ = √(2DS / H)
where D is Annual demand, S is Setup cost per order, H is Holding cost per unit per year
Substituting the values given in the question:
EOQ = √(2 × 8000 × 100 / 10)
EOQ = √(16 × 10^6 / 10)
EOQ = √(1600000)
EOQ = 1264.911 rounding up to 1265
Part B: The number of production runs per year is given by:
Number of production runs = Annual demand / EOQ
Number of production runs = 8000 / 1265
Number of production runs = 6.313 round up to 7
Part C: The length of the production run is given by:
Production run length = EOQ / Daily demand
Production run length = 1265 / 20
Production run length = 63.25 round up to 64 days
Part D: The total cost of inventory per year is given by:
Total inventory cost = [(EOQ / 2) × H × (Annual demand / EOQ)] + [(Annual demand / EOQ) × S]
Total inventory cost = [(1265 / 2) × 10 × (8000 / 1265)] + [(8000 / 1265) × 100]
Total inventory cost = 632.50 + 631.10
Total inventory cost = 1263.60
Conclusion: The optimal size of the production run is 1994.
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a pilot approaching a 10,000 ft runway finds that the angles of depression of the ends of the runway are 17.0 and 12.5 degrees. how high is his plane and how far is it from the nearer end of the runway?
The height of the plane is about 3855 feet and the distance from the nearer end of the runway is about 13580 feet.
To find out the height of the plane and the distance of it from the nearer end of the runway, we have to use trigonometry.
Let's start by finding the height of the plane, h.
Using the angle of depression of 12.5 degrees, we can write this equation:
tan 12.5 = h/d
Where d is the distance from the nearer end of the runway. If we cross-multiply, we get:
d = h/tan 12.5
We can use the equation from the other angle of depression to eliminate the distance,
d.tan 17.0 = h/(d + 10,000)
By substituting the previous equation in for d, we get:
tan 17.0 = h/(h/tan 12.5 + 10,000)
Simplifying: tan 17.0 = h(tan 12.5)/(h/tan 12.5 + 10,000)
Multiplying both sides by h/tan 12.5 + 10,000:
tan 17.0 (h/tan 12.5 + 10,000) = h tan 12.5
Expanding the left side: distributed = h + 10,000 tan 17.0 tan 12.5
Simplifying and isolating h: h = 10,000 tan 17.0 tan 12.5/(tan 12.5 - tan 17.0) ≈ 3855 ft
Therefore, the height of the plane is about 3855 feet. To find the distance from the nearer end of the runway, we use the previous equation:d = h/tan 12.5 ≈ 13580 ft
Therefore, the distance from the nearer end of the runway is about 13580 feet.
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Find the value of 42 - (-10)
*explain how to solve*
Answer: 52
Step-by-step explanation:
42-(-10) first since your multiplying the two negative signs with each other it turns into a positive and looks like 42+10 and 42+10=52
A triangle was dilated by a scale factor of 6. if sin a° = four fifths and segment de measures 30 units, how long is segment ef? triangle def in which angle f is a right angle, angle d measures a degrees, and angle e measures b degrees segment ef = 15.5 units segment ef = 24 units segment ef = 30 units segment ef = 37.5 units
The triangle DEF's section EF measures 24 units in length.
As per the data given in the above question are as bellow,
The provided details are as follow,
Procedure: Calculating the length that results from distorting a triangle by a scale factor
The triangle mentioned in the previous sentence is summarised in the diagram below. Using a trigonometric relationship, we discover that the following formula best describes the length of the section EF:
\($\sin a^{\circ}=\frac{E F}{D E}$\)
If we know that DE=30 and \($\sin a^{\circ}=\frac{4}{5}$\), then the length of the segment EF is:
\(E F=D E \cdot \sin a^{\circ} \\& E F=30 \cdot\left(\frac{4}{5}\right) \\\)
EF=24
Sine (sin), cosine (cos), and tangent (tan), which are defined in terms of the ratios of the sides of a right triangle, are the fundamental trigonometric functions.
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Note: The correct question would be as bellow,
A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
15.5 units
24 units
30 units
37.5 units
the rotor blades of a helicopter are 19 ft long and are rotating at 190 rpm.
The linear velocity of the rotor blades of the helicopter is approximately 757.67 ft/min.
To calculate the linear velocity of the rotor blades of a helicopter, we can use the formula:
Linear Velocity = (2 * π * r * rpm) / 60
where r is the length of the rotor blades and rpm is the rotations per minute.
Given that the length of the rotor blades is 19 ft and the rotation rate is 190 rpm, we can substitute these values into the formula:
Linear Velocity = (2 * π * 19 * 190) / 60
Simplifying this expression:
Linear Velocity = (2 * 3.1416 * 19 * 190) / 60
Linear Velocity ≈ 2 * 3.1416 * 19 * 3.1667
Linear Velocity ≈ 757.67 ft/min
Therefore, the linear velocity of the rotor blades of the helicopter is approximately 757.67 ft/min.
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C + 4 = -8
Choose
This is a required question
Answer:
c=-12
Step-by-step explanation:
A shirt is on sale for 30% off the regular price. The regular price is $27.00.
What is the sale price?
$8.10
$18.20
$18.90
$18.80
Answer:
18.90
Step-by-step explanation:
What is the simplified value of the exponential expression 27 superscript one-third?39.
The simplified value of the expression "27 superscript one-third" is 3 , the correct option is (a) .
In the question ,
it is given that ,
the statement for the exponential expression is "27 superscript one-third" ,
which can be written in numbers as
= \(27^{\frac{1}{3} }\)
the number 27 can be expressed as product of number "3" ,
27 = 3 × 3 × 3 = 3³ ,
Substituting the value of 27 in the expression ,
we get ,
= \(3^{3\times \frac{1}{3} }\)
= 3¹ ....because 3 × (1/3) = 1
= 3
So , \(27^{\frac{1}{3} }\) = 3 .
Therefore , the simplified value is 3 .
The given question is incomplete ,the complete question is
What is the simplified value of the exponential expression 27 superscript one-third ?
(a) 3
(b) 9
(c) 2
(d) 18
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What is the vertex of the graph of f x )=[ x 5 ]- 6?
The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.
Therefore the answer is (5, -6).
The graph f(x) = |x - 5| - 6 is symmetrical about the axis x = 5.
A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is
(5, -6)
--The question is incomplete, answering to the question --
"What is the vertex of the graph of f(x) = |x - 5| - 6?"
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Estebe enlarged a 4-inch by 6-inch photograph by a factor of 5/2
What are the new dimensions of the photograph?
Answer:
24 5/2! That's the answe becayse 6 times 4 is 20 add the 2 by two times / multiply the 2 and get 4 add four to 20 now you have your answer
Step-by-step explanation:
The new dimensions are 10 inch by 15 inch.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
Estebe enlarged a 4-inch by 6-inch.
scale Factor = 5/2.
So, the Dimensions after enlarging
4 inch = 4 x 5/2 = 10
and, 6 inch = 6x 5/2 = 15
Hence, the new dimensions are 10 inch by 15 inch.
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the gram-schmidt process produces from a linearly independent set {x1, x2, . . . , xp} an orthogonal set {v1, v2, . . . , vp} with the property that span{v1, . . . , vk}
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.
Given that,
From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.
Whether the claim is true or false must be determined.
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.
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Someone help me pls
Answer:
i can np
Step-by-step explanation: