yes, the set of points at which the function f(x, y, z) = p 2x 7y 3z .
Describe the equation of continuity with an example?
The cross-sectional area of the pipe and the fluid velocity at any given position, where the pipe is always constant, can also be used to calculate the volume flow per second, which is another way to construct the continuity equation. R = Av = Constant is the equation for continuity.given , f( x,y,z) = [tex]\sqrt{4x + 7y + z}[/tex]
clearly ( 4x + 7y+ z ) is a polymial function
So, differentiable & continuous on R
So, [tex]\sqrt{4x + 7y + z }[/tex] is coutinuous on every point with 4x + 7y+ z≥ 0
i.e. with z ≥ ( -4x - 7y)
∴ the set points at which f is continuous is
D = { X , Y,Z } Z ≥ ( 4x - 7y)
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Evie has a price of ribbon that is 80cm long she cuts it into lengths and has no ribbon left over each length is exactly 8.5cm or 12.5cm how many of each length does evie have
Using a function to express the number of pieces of the two lengths, Evie should have 3 pieces of ribbon of length 12.5 cm and 5 pieces of ribbon of length 8.5 cm.
In mathematics, a function is the representation of the relationship of a set of input(X) and its corresponding output(Y).
If Evie has a price of ribbon that is 80cm long that she wants to cut into lengths of exactly 8.5cm or 12.5cm and that no ribbon left over, then the function for this statement is:
12.5x + 8.5y = 80 ⇒ y = (80 - 12.5x)/8.5
where x is the number of pieces of length 12.5 cm and y is the number of pieces of length 8.5 cm, and x and y must be whole numbers(pieces of ribbon)
Listing down the possible integers for the value of x and solving for the corresponding y value.
x = 1 , y = 135/17
x = 2 , y = 110/17
x = 3 , y = 5
x = 4 , y = 60/17
x = 5 , y = 35/17
x = 6 , y = 10/17
Since when x = 3, y = 5 is the only ordered pair that is both integers, then it is the answer.
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help!! please its easy
The area of the quadrilateral ABCD is 26 square units
How to find the area of quadrilateral ABCD?The quadrilateral ABCD is a trapezoid, and it has the following parameters:
Parallel bases = BC and ADHeight = CEThe lengths of these sides can be calculated using
d = √[(x2 - x1)^2 +(y2 - y1)^2]
So, we have
BC = √[(0 - 4)^2 +(3 + 1)^2] = 4√2
AD = √[(-5 - 4)^2 +(4 + 5)^2] = 9√2
CE = √[(2 - 4)^2 +(-3 + 1)^2] = 2√2
The area of the quadrilateral ABCD is then calculated as
Area = 0.5 * (BC + AD) * CE
This gives
Area = 0.5 * (4√2 + 9√2) * 2√2
Evaluate
Area = 26
Hence, the area of the quadrilateral ABCD is 26 square units
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HELP!! I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERED IT CORRECTLY AND GAVE A GREAT EXPLANATION!!! PLEASE ANSWER THE QUESTION!! IT IS ALGEBRA AND I AM NO GOOD AT IT!!!
( Hello! I'm bo)red....Can someone talk to me.....anyone...please???
Answer:
I believe the correct answer would be C.
Step-by-step explanation:
Have a great day! :)
Right isosceles ΔA B C has hypotenuse length h . DE is a midsegment with length 4 x that is not parallel to the hypotenuse. What is the perimeter of ΔA B C ?
The perimeter of right isosceles ΔABC with midsegment DE is 16 + 8√2.
If right isosceles ΔABC has hypotenuse length h, then the two other sides are congruent.
side a = side b
Using Pythagorean theorem, c^2 = a^2 + b^2
h^2 = a^2 + b^2 a = b
h^2 = 2a^2
a = h/√2
If DE is a midsegment not parallel to the hypotenuse, then it is a segment that connects the midpoints of one side of a triangle and the hypotenuse. See photo for reference.
ΔABC and ΔADE are similar triangles.
a : b : h = a/2 : 4 : h/2
If a/2 = a/2, then b/2 = 4.
b/2 = 4
b = 8
If a = b, then a = 8.
If a = h/√2, then
8 = h/√2
h = 8√2
Solving for the perimeter,
P = a + b + h
P = 8 + 8 + 8√2
P = 16 + 8√2
P = 27.3137085
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Determine whether each expression is equivalent to 16^t-0.5
Answer:
its equivilant
Step-by-step explanation:
Equivalent expressions are:
[tex]2^{3t}.2^t[/tex] / 4 and [tex]8^{t}.2^t[/tex] / [tex]2^{0.5}.8^{0.5}[/tex].
Options B and C are the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Solve each expression.
[tex]16^{t-0.5}[/tex]
= [tex]2^{4t - 2}[/tex]
Now,
1)
[tex]2^{3t}.2^t[/tex] / 16
= [tex]2^{4t}[/tex] / [tex]2^4[/tex]
= [tex]2^{4t - 4}[/tex]
2)
[tex]2^{3t}.2^t[/tex] / 4
= [tex]2^{4t}[/tex] / [tex]2^2[/tex]
= [tex]2^{4t - 2}[/tex]
3)
[tex]8^{t}.2^t[/tex] / [tex]2^{0.5}.8^{0.5}[/tex]
= [tex]2^{3t + t}[/tex] / [tex]2^{0.5 + 1.5}[/tex]
= [tex]2^{4t}[/tex] / [tex]2^2[/tex]
= [tex]2^{4t - 2}[/tex]
Thus,
Equivalent expressions are:
[tex]2^{3t}.2^t[/tex] / 4 and [tex]8^{t}.2^t[/tex] / [tex]2^{0.5}.8^{0.5}[/tex].
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Evaluate r + (-5) < -3.
r < -5
r < 2
r < -2
r < 5
Answer:
r<2
Step-by-step explanation:
r + (-5) < -3
r -5 < -3
r<-3+5
= r<2
Round 67.483 to the nearest whole number
Answer:
67 is the answer
Answer:
67 would be the nearest whole number.
Which most likely is a causal relationship?
An experimenter showed different causes for two patients’ lung cancer.
One experiment showed that all cancers can be cured by a new drug.
Experimenters show a link between adult-onset diabetes and obesity.
Experimenters show statistical data on diabetes drugs.
Experimenters show a link between adult-onset diabetes and obesity is most likely a causal relationship. Option C is correct.
What exactly is a causal connection?A causal relationship exists when one variable in a data set directly affects another variable.
As a result, one thing triggers another to happen. A causal link is also known as cause and effect.
According to studies and experiments, there is a clear causal link between adult-onset diabetes and obesity. A causal relationship demonstrates that one occurrence is the cause and the other is the outcome.
Researchers have found what is most likely a causal association between adult-onset diabetes and obesity.
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What is the area, in square centimeters, of the isosceles trapezoid below? ¹8 cm 15.5 cm 5.7 cm
The area of the trapezoid is 169.6 cm² for the dimensions as 8 cm, 5.7 cm and 15.5 cm.
We are given that:
The dimensions of the trapezoid are:
Height = 8 cm
Shorter side = 5.7 cm
longer side = 15.5 cm
Area of the trapezoid will be:
A = (a + b) / 2 × h
Substituting the values in the formula, we get that:
A = (5.7 + 15.5) / 2 × 8 cm²
A = 21.2 × 8 cm²
A = 169.6 cm²
Therefore, we get that, the area of the trapezoid is 169.6 cm² for the dimensions as 8 cm, 5.7 cm and 15.5 cm.
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A baseball glove originally cost 84.50.
Kenji bought it at 40 % off. How much was deducted from the original price?
F. 50.70
H. 33.80
G. 44.50
J. 32.62
33.80 was deducted from the original price costing 84.50.
84.50 × 40% = 33.80
That's it, the answer is H. 33.80
What is original price?The full cost of purchasing an asset is known as the original price. When calculating an asset's original cost, all of the costs associated with buying and using the asset are taken into account.
Included in these expenses are the purchase price as well as things like commissions, shipping, appraisals, warranties, installation, and testing. Equipment, real estate, and security instruments are all examples of asset types that can be valued using original cost.
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Convert the decimal or whole number to a percent.
1.15 7/8
Answer:
1.15 is 115%
Step-by-step explanation:
7/8 is 0.875 so it makes it 87.5%
The percentage form of the given number is:
1.15 as a percent is 115%
7/8 as a percent is 187.5%
To convert a decimal to a percent,
we need to multiply it by 100.
So for 1.15,
Multiply it by 100 to get 115%.
To convert a mixed number to a percent,
We have to convert it to an improper fraction first.
To do that, we multiply the denominator by the whole number and add the numerator.
Then we put that answer over the original denominator.
For 7/8, the improper fraction would be,
(8 x 1) + 7 = 15/8.
To convert this to a percentage,
We need to divide the numerator by the denominator and multiply by 100.
So 15/8 as a decimal is 1.875, and when we multiply that by 100 we get 187.5%.
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1 more than 4 times x
Answer:
1+4×1
1+4
5
I think this is the correct answer if it isn't pls notify me
How many feet are equivalent to
1|5
mile? (1 mile = 5280 feet)
Answer:
1056 feet
Step-by-step explanation:
5280/5=1056
Write each number as a percent.
0.25
Answer: 25%
Step-by-step explanation:
0.25
25%
a has 32 more then b and b has five times as much money as c if c has d dollars how much does a have
The amount A has in terms of d is 5d + 32.
Amount A has in terms of B
The amount A has in terms of B is calculated as follows;
If a has 32 more than b, our equation becomes;
A = b + 32
Amount B has in terms of CThe amount B has in terms of C is calculated as follows;
If B has five times as much money as C and C has d dollars, our equation becomes;
B = 5C = 5d
Amount A has in terms of dollarsThe amount A has in terms of d is calculated as follows;
A = b + 32
A = 5d + 32
Thus, the amount A has in terms of d is 5d + 32.
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Explain your method for determining the efficient route of a network.
Determining the best path involves the evaluation of multiple paths to the same destination network and selecting the optimum or shortest path.
How is the best route to a network determined?
Finding the optimum route to take when sending packets is a router's main duty. The router looks through its routing table for a network address that corresponds to the packet's destination IP address in order to find the optimum route.7 types of routing protocols -
Routing information protocol (RIP)Interior gateway protocol (IGRP)Enhanced interior gateway routing protocol (EIGRP) Open shortest path first (OSPF) Exterior Gateway Protocol (EGP) Border gateway protocol (BGP) Immediate system-to-immediate system (IS-IS)Learn more about network
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For a ride on a rental scooter , ahmad paid $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Ahmad’s ride was $20.49. For how many minutes did ahmad ride the scooter
Ahmad spent 159 minutes for the scooter ride
How to calculate the amount of minutes needed for the ride ?Ahmad paid $3 fee to start the scooter ride
She also paid 11 cents per minutes of the ride
The total bill at the end of the ride is $20.49
The first step is to convert 11 cents to dollars
= 11/100
= 0.11
Therefore the number of minutes can be calculated as follows
20.49 = 0.11x + 3
collect the like terms
20.49 - 3 = 0.11x
17.49 = 0.11x
x= 17.49/0.11
x= 159
Hence Ahmad spent 159 minutes for the scooter ride
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you rent an apartment that cost 1600 per month during the first year but the rest had to go by 12.5 per year what would be the rent of the apartment during the 10th year in
Answer: 2000
12.5÷100=0.125
1600×0.125×10=2000
2w=2w+1 I’m very confused and I don’t know how to answer this
Answer:
Step-by-step explanation:
2w = 2w + 1
2w - 2w = 1
w(2 - 2) = 1
0w = 1
w = 1/0
w is undefined
Determine whether y varies directly with x . If so, find the constant of variation.
y=4 x-3
The required value of constant of variation, k does not exist for which x and y vary directly.
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.
Solving for the value of constant of variation
When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion —-- 1
Given relation is y = 4x - 3
Comparing with equation 1, we get, that y does not vary directly with x
Hence, the required value of constant of variation does not exist.
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Some people think that the Spaceship Earth geosphere at Epcot in Disney World in Orlando, Florida, resembles a golf ball. The building is a sphere measuring 165 feet in diameter. A typical golf ball has a diameter of approximately 1.5 inches.
b. Find the volume of a golf ball to the nearest tenth.
A typical golf ball having a diameter of approximately 1.5 inches has a volume of 1.8 cubic inches.
Volume refers to the amount of space occupied by a three-dimensional object.
From the problem, the golf ball resembles the Spaceship Earth geosphere at Epcot in Disney World in Orlando, Florida which is a sphere.
If a typical golf ball has a diameter of approximately 1.5 inches, and radius is half of the diameter, then the radius of the golf ball is approximately 0.75 inches.
The volume of the golf ball can be calculated using the formula for the volume of a sphere given by:
V = 4/3 π r^3
V = 4/3 π (0.75 inches)^3
V = 4/3 π (0.421875 cubic inches)
V = 1.767145868 cubic inches
Rounding off to the nearest tenth,
V = 1.8 cubic inches
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What are the coordinates of the vertices of the image after a 90-degree counter-clockwise rotation about the origin?
Answer:
Well, (2,3) is transformed into (-3,2)
(-3,-1) changes into (1,-3)
and (2,-1) changes into (1,2)
Step-by-step explanation:
Smort
Find the volume of the sphere or hemisphere. Round to the nearest tenth.
sphere: area of great circle =55π in²
The volume of sphere and hemisphere is 7×10⁵ inches and 3.5×10⁵ inches respectively.
We are given the area of circle. From this given information, we will be calculating radius of the circle, which will be further required to calculate volume of sphere and hemisphere.
Area of circle = πr²
Keep the value in formula -
55π = πr²
Cancelling π and taking square root to find the value of radius
r = √55
r = 7.4 inches
Now, volume of sphere is calculated by the formula -
Volume of sphere = 4/3 πr³
Volume of sphere = 4/3 π (55)³
Volume of sphere = 6.97×10⁵ inches
Now, volume of hemisphere is calculated by the formula -
Volume of hemisphere = 2/3 πr³
Volume of hemisphere = 2/3 π (55)³
Volume of hemisphere = 3.48×10⁵ inches
On rounding off, we get volume of sphere and hemisphere as 7×10⁵ inches and 3.5×10⁵ inches
Hence, the volume of sphere and hemisphere is 7×10⁵ inches and 3.5×10⁵ inches respectively.
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Compute the average rate of change of the given function over the specified interval. f (x) = x^3, [3, 4]
Answer:
Use the given functions to set up and simplify
[
3
,
4
]
Step-by-step explanation:
A rectangle has a perimeter of 84 cm and the length is 35 cm what is the width
Answer: width is 49
Step-by-step explanation: 84-35= 49
1/3 +1/5
Greatest common multiple
Evaluate: 100−20.2×4.5.
The value of given expression 100−20.2×4.5 is 9.1 .
Expression in maths is outlined because the assortment of numbers variables and functions by exploitation signs like addition, subtraction, multiplication, and division.BODMAS is Associate in Nursing descriptor for the sequence of operations to be performed whereas simplifying the mathematical expressions. Hence , BODMAS full form is Bracket, Order, Division, Multiplication, Addition, and Subtraction.We have given an expression 100−20.2×4.5 .
Using BODMAS we will first solve the multiplication term than the subtraction term .
We will do multiplication operation which is given by
20.2 × 4.5 = 90.9
Now , we will subtract 90.9 from 100 , we get
100 - 90.9 = 9.1
Hence , the value is 9.1
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If a jar contains 150 peanuts and 60 cashews, what is the approximate probability that a nut selected from the jar at random will be a cashew?
A 0.25
C 0.33
E 0.71
B 0.29
D 0.4
The probability that a nut selected from the jar at random will be a cashew = 0.29
The correct answer is option (B) 0.29
In this question,
A jar contains 150 peanuts and 60 cashews.
So, the total number of nuts = 150 + 60
= 210
We need to find the probability that a nut selected from the jar at random will be a cashew.
To find the probability we use the formula,
P = number of possible outcomes / total number of outcomes
Let event A: a nut selected from the jar at random is a cashew
n(A) = 60
total number of nuts n(S) = 210
So, the probability that a nut selected from the jar at random will be a cashew,
P(A) = 60/210
P(A) = 0.29
Therefore, the probability that a nut selected from the jar at random will be a cashew = 0.29
The correct answer is option (B) 0.29
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Ella has 50 stickers of 10 pennies in each stack describe how to find how many pennies Ella has and all
the number of pennies that Ella has in all is 500 pennies.
Number of stickers = 50
Cost of each sticker = 10 pennies
Now, we need to find the total pennies Ella has.
We will use multiplication to find the same.
So, by using the operation of multiplication, we get that:
Number of pennies = 10 × 50 pennies.
Number of pennies = 500 pennies.
Therefore, we get that, the number of pennies that Ella has in all is 500 pennies.
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Look at the information in the image below.
Francesca dropped an item from the top of
the Leaning Tower of Pisa. Its initial speed
was 0 m/s, its final speed was 33 m/s
and it took 3.4 s to fall to the ground.
Giving your answer to 1 decimal place,
work out s (the distance travelled), in
metres (m).
Si
Not to scale
s = 1/2 (u + v) t
where
s = distance travelled (m)
u = initial speed (m/s)
v = final speed (m/s)
t = time travelling (s)
The distance travelled by the item is 56.1 meters
As per the information provided that the initial speed was 0 m/s, final speed when the item touched the ground is 33 m/s and the total time it took to reach ground from the top of leaning tower of Pisa is 3.4 s
we need to find out the distance travelled by the item
let the distance travelled by the item be x
it can de found out using the formula given in the question itself
by substituting the values in the equation
s= 1/2 (u+v)t
x = 1/2(0+33)3.4
x= 1/2(112.2)
x= 56.1 m
hence, the distance travelled by the item is 56.1 meters
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