Given that x = 8, y = 2, and z = 3, the equation 2x = 3yz is false.
An expression is a number, variable or the combination of both put together by operation symbols while an equation is a statement that shows that two expressions are equal and is separated by an equal sign "=".
To check if the equation 2x = 3yz is true when x = 8, y = 2, and z = 3, plug in or substitute the value of each variable to the equation and evaluate.
2x = 3yz
2(8) = 3(2)(3)
16 ≠ 18
Since 16 is not equal to 18, the given values do not satisfy the equation, then the statement is not true.
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Need help please and thank you
Answer:2
Step-by-step explanation:
Answer:
I think it's 2 bc if there is only a middle and end you would only put 2 flags up also 8 x 2 is 16 so that's another way you could put 2
HELPPP PLS
2 Line segment MN has a midpoint of (7, 3.5). Point N is located at (14,7). What are
the coordinates for point M?
Answer:
It would be (0,0)
Step-by-step explanation:
7-7=0 and 3.5-3.5=0
smokey the bear is in a 140 foot observation tower and sees a fire! The angle of depression is 3 degrees. find the horizontal distance from the tower to the fire.
The horizontal distance from the tower to the fire is 7 feet
Angle of depressionThe term "angle of depression" describes the angle created by a horizontal line and the line of sight from the observer's eye to a location below their horizontal line of sight. It is often calculated by descending from the horizontal line.
The angle of depression is a term that is frequently used in discussions of observations or measurements involving objects that are below the observer's location in geometry and trigonometry.
We know that;
Tan 3 = x/140
x = 140 Tan 3
x = 7 feet
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b)
Simplify each of the following as far as possible:
1) 5a-3a+2a
2) -4x²x3x²
3) (3x¹)³
4) 5-3(x+3)+6x
The simplified expression after simplification is ,
1) 4a
2) -12\(x^5\)
3) 27\(x^3\)
4) 3x-4
What is simplification of expression?
The process of solving a math problem is simply known as simplifying an expression. In essence, you aim to write an expression as simply as you can when you simplify it. By the time you're done, you shouldn't have any more addition, subtraction, multiplication, or division to do. Making anything simpler is the definition of simplify. Reducing an expression, fraction, or mathematical problem to its simplest form is known as simplification. Using calculations and solving the problem makes it simple.
Here the given expressions are,
1) 5a-3a+2a
=> (5-3+2)a
=> 4a
2)-4\(x^2\).x.3\(x^2\)
=> -4*3\(x^(2+1+2)\)
=>-12\(x^5\)
3)\((3x^1)^3\)
=> \(3^3.x^3\)
=>27\(x^3\)
4)5-3(x+3)+6x
=>5-3x-9+6x
=>3x-4
There fore the simplified expressions are
1) 4a
2) -12\(x^5\)
3) 27\(x^3\)
4) 3x-4
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help me pleaseee ejejie
Answer:
The answer is A
Step-by-step explanation:
when you see x and y side by side in a table, each row is one point on a graph. hope this helps!
Answer:
The answer is A (the first answer) why is because the x axis will always go first on a corrdinate plane point so measure it like this x axis 3 y axis 4 it would look like this (3, 4) hope that helps! Message me if you need more explaination! :)
What is the sum of the measures of the exterior angles of the polygon shown below if necessary round to the nearest 10th
Answer:
24
Step-by-step explanation:
Number of sides = 15 (counted and it was a pain the a*s)
The total measure of the exterior angle = 360
= 360/15
= 24 degree
Each angle is measured 24 degree
The sum of the exterior angles of the polygon shown in the image is: 360°.
What is the Sum of Exterior Angles of a Polygon?Regardless of the number of sides or angles a polygon has, the sum of exterior angles of any polygon is always 360 degrees.
Thus, the polygon given has 15 sides, however, the sum of all its exterior angles will still give 360 degrees.
Therefore, the sum of the exterior angles of the polygon shown in the image is: 360°.
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The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places. (a) What is the probability that more than three aircraft arrive within an hour? Enter your answer in accordance to the item a) of the question statement (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals? Enter your answer in accordance to the item b) of the question statement (c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.27. Enter your answer in accordance to the item c) of the question statement
a) The probabilities for X = 0, 1, 2, and 3, and then summing them up, we find that P(X > 3) ≈ 0.019. b) The probability of zero successes is approximately 0.430. c) The length of an interval of time is 1.306 hours.
a) The time between arrivals of small aircraft is exponentially distributed with a mean of one hour. To find the probability that more than three aircraft arrive within an hour, we will use the Poisson distribution, where λ (lambda) represents the average number of arrivals per hour, which is 1 in this case. The probability formula is P(X > 3) = 1 - P(X ≤ 3), where X is the number of arrivals. Using the Poisson formula, we get:
P(X > 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
Calculating the probabilities for X = 0, 1, 2, and 3, and then summing them up, we find that P(X > 3) ≈ 0.019.
b) To find the probability that no interval contains more than three arrivals in 30 separate one-hour intervals, we can use the binomial distribution. The probability of success (an interval with more than three arrivals) is 0.019 from part a), and the probability of failure (an interval with three or fewer arrivals) is 1 - 0.019 = 0.981. Using the binomial formula with n = 30 (number of intervals) and p = 0.981, we find the probability of zero successes (i.e., no interval with more than three arrivals) is approximately 0.430.
c) To determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.27, we use the exponential distribution formula:
P(T > t) = e^(-λt), where T is the waiting time between arrivals, t is the time interval, and λ is the average number of arrivals per hour (1 in this case).
We want to find the value of t such that P(T > t) = 0.27. So:
0.27 = e^(-1 * t)
Taking the natural logarithm of both sides, we get:
ln(0.27) = -t
Solving for t, we find that t ≈ 1.306 hours.
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Are the following functions analytic? Use (1) or (7). 2. f(z)=iz
z
ˉ
3. f(z)=e
−2x
(cos2y−isin2y) 4. f(z)=e
x
(cosy−isiny) 5. f(z)=Re(z
2
)−iIm(z
2
) 6. f(z)=1/(z−z
5
) 7. f(z)=i/z
8
8. f(z)=Arg2πz 9. f(z)=3π
2
/(z
3
+4π
2
z) 10. f(z)=ln∣z∣+iArgz 11. f(z)=cosxcoshy−isinxsinhy
The following functions are analytic:
1. f(z) = iz
2. f(z) = \(e^(^-^2^x^)(cos^2^y - isin^2^y^)\)
4. f(z) = \(e^x(cosy - isiny)\)
5. f(z) = \(Re(z^2) - iIm(z^2)\)
8. f(z) = \(i/z^8\)
11. f(z) = cos(x)cos(hy) - isin(x)sin(hy)
Analytic functions are those that can be expressed as power series expansions, meaning they have derivatives of all orders in their domain. In the given list of functions, we need to determine if each function satisfies this criterion.
f(z) = iz: This function is linear and can be expressed as a power series, therefore it is analytic.f(z) = \(e^(^-^2^x^)(cos^2^y - isin^2^y)\): This function can also be expressed as a power series expansion and has derivatives of all orders, making it an analytic function. f(z) = \(e^x(cosy - isiny)\): Similarly, this function can be written as a power series expansion and has derivatives of all orders, making it analytic. f(z) = \(Re(z^2) - iIm(z^2)\): Although this function involves the real and imaginary parts of \(z^2\), both of these components can be expressed as power series expansions, implying that f(z) itself can be written as a power series and is thus analytic.f(z) = \(i/z^8\): This function can be rewritten as i*\((1/z^8)\) , where \(1/z^8\) can be expressed as a power series expansion. Since the multiplication of a constant (i) and an analytic function (\(1/z^8\)) results in an analytic function, f(z) is analytic. f(z) = cos(x)cos(hy) - isin(x)sin(hy): This function consists of the multiplication and addition of trigonometric functions, which are themselves analytic. Therefore, f(z) is an analytic function.Learn more about Analytic functions
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Given that the quadrilateral is a parallelogram, m∠S = + 19 and m ∠T = 8x - 4, what is m∠Q?
Answer:
32
Step-by-step explanation:
Brainlist plz
Answer:
\(\Large \boxed{161\°}\)
Step-by-step explanation:
Adjacent angles in a parallelogram add up to 180 degrees.
m∠Q and m∠S add up to 180 degrees.
m∠Q + m∠S = 180
m∠Q + 19 = 180
Subtract 19 from both sides.
m∠Q + 19 - 19 = 180 - 19
m∠Q = 161
lathXL. for School: Practice & Problem Solving
OA:
7.8.PS-10
Find the volume of the rectangular prism.
1
22 m
3- m
1
5 5 m
m
2
The volume of the rectangular prism is 386.1 cubic meters.
To find the volume of a rectangular prism, we need to multiply its length, width, and height. In this case, the length is 22 m, the width is 5.5 m, and the height is 3.1 m. Therefore, we can write:
Volume = length x width x height
Volume = 22 m x 5.5 m x 3.1 m
Volume = 386.1 cubic meters
Therefore, the volume of the rectangular prism is 386.1 cubic meters.
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Plz can someone help me w/ this! ^_^
Answer: it would be a
Step-by-step explanation:
from my understanding you look at the sides and a traingale has 360 in total of the area.
so
5. A theater wants to take in at least $2000 for the matinee. Children's
tickets cost $5 each and adult tickets cost $10 each. The theater can seat
up to 350 people. Select all the combinations of children and adult tickets
that will make the $2000 goal.
There are several possible answers.
A- (80, 150)
B- (40, 200)
C- (60, 150)
D- (70, 160)
E- (90, 200)
F- (200, 100)
The required number of children and adults for sitting in the theater are 300 and 50 respectively.
Explain linear equation of two variable.A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.
According to question:Let be consider number of children be x and that of adults is y.
We have,
x + y = 350-------(1)
y = 350 - x
And 5x + 10y = 2000------------------(2)
Put value of y in equation (2)
5x + 10( 350 - x) = 2000
5x + 3500 - 10x = 2000
-5x = -1500
x = 300
Then
y = 350 - x = 350 - 300 = 50
Thus, There will be 300 children and 50 adults in the theater .
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Find the inverse function in slope-intercept form (mx+b):
f(x) = -x + 6
switch the variables
x = -y + 6
x - 6 = -y
-x + 6 = y
600 divided by 32 =
Answer:
18.75
Step-by-step explanation:
Answer:
18.75
Step-by-step explanation:
32/32
Combine like terms for the following expression:
6x+2x−8−3
Answer:
8x-11
Step-by-step explanation:
Answer:
8x-11
Step-by-step explanation:
6x and 2x combine to make 8x and -8 and -3 combine to make -11.
Help please, thanks :)
Answer:
х=6
Step-by-step explanation:
\(7 + 5(x -3 ) = 22 \\ 7 + 5x - 15 = 22 \\ 5x = 22 - 7 + 15 \\ 5x = 30 \\ x = 6\)
Answer:
C
x=6
Step-by-step explanation:
PLEASE HELP ASAP
I'LL MARK BRAINIEST
Answer:
x = 1.24628
hope it helps
turn this equation into a sentence.
2 + 3n = 4n
Answer:
4 times a number equals 2 plus 3 times a number
Step-by-step explanation:
I know this might not make sense but this is how most people put this in a sentence. :)
The function is expressed as: "the product of a number and 3 increased by 2 is the same as the product of the number and 4"
Given the function 2 + 3n = 4n. We are to write this function as a statement:
Let "n be an unknown number.
3n can be written as the product of a number and 3"2 + 3n is expressed as "the product of a number and 3 increased by 2" 4n can be written as the product of a number and 4"Combining the statements, the function is expressed as:
"the product of a number and 3 increased by 2 is the same as the product of the number and 4"
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Round off 452 to the nearest 100
Answer:
500
Step-by-step explanation:
5 is going to round off to 1 then give to 4 then it becomes 5 and other nos change to 0
What revolves around the earth
I assume it's the moon?
Answer:
garbage and rocks and all sorts of stuff
Step-by-step explanation:
Help me please will mark
Answer:
16 = 216, 17 = 180, 18 = 252
Step-by-step explanation:
Hope this helps!
Answer:
16. A = 216 in.²
17. A = 180 cm.²
18. A = 252 cm²
Step-by-step explanation:
16. We want to split the triangle and square. We know that the triangle is a right triangle because its linear pair is 90°, which makes it also 90°.
Because this is a rectangle, opposite sides are congruent. So now we have the side measures of 12, 17, 12, and 17.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
17. We want to split the trapezoid and rectangle. This is a rectangle because it has four right angles.
Because this is a rectangle, opposite sides are congruent. So now we have the side measures of 20, 6, 6, and 20.
Now we can also prove that the bottom base of the trapezoid has a measure of 20 because of Reflexive Property.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
18. We want to split this hexagon into two rectangles. We know that they're rectangles because they have four right angles.
Remember, you can't assume that it's a square just because it looks like one. It is not to scale.
To find the length of the larger rectangle, we can add the separate measures of the side to find the total length.
Because it's a rectangle, we now have the measures of 12, 12, 18, 18.
Because the bottom side of the larger rectangle is 12 and the sum of both bottom sides of both rectangles is 18, that makes the bottom side of the second rectangle 6.
Because opposite sides of a rectangle are congruent, this rectangle is a square because it has four congruent sides and four right angles.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
BIG IDEAS MATH
#5
i
Find the value of x.
(x + 10)
640
The value of x is
Previous
1
2
3
4
6
7
8
9
10
Next
Answer:
106
Step-by-step explanation:
See attached
A population is increasing 4% per year. Identify the growth factor that could be used to model the population.
The growth factor that could be used to model the population will be 1.04. Then the correct option is D.
What is an exponent?Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.
The population is increasing by 4% per year.
Then the growth factor that could be used to model the population will be
Growth factor = (1 + 4%)
Growth factor = (1 + 0.04)
Growth factor = 1.04
The growth factor that could be used to model the population will be 1.04.
Then the correct option is D.
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Determine whether the underlined value is a parameter or a statistic.
Following the election, 18 % of the governors of all 50 areas of a country were female.
Is the value a parameter or a statistic?
The given numerical value is a Statistic.
Parameters are numeric values that characterize the population as a whole. A statistic is a number that describes the characteristics of a sample.
For example, median income in the United States is a demographic parameter. Conversely, the median income for the US sample is a sample statistic. Both values represent median income, but one is a parameter to the statistic. Easy to remember parameters and stats! Both are summary values that describe the group, and have a convenient mnemonic device to remind you which group is being described. Notice their initials.
Parameter = Population
Statistics = Sample
A population is the entire group of people, things, animals, trades, etc. that are being studied. A sample is part of a population.
Following the election, 18 % of the governors of all 50 areas of a country were female.
Given that, 18% of the 50areas of a country were females.
Now,
18*50/100 = 9
Since it is a perfect number
The given numerical value is a statistic.
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I NEED HELP. I need step-by- step on how I solved this. And the answer for the equation...
Answer:
So its all there
Step-by-step explanation: is included
What is the slope of the line that passes through the points (3,9) and (7,5)? Write
your answer in simplest form.
Answer:
M = -1
Step-by-step explanation:
Use the slope formula:
M = (y2-y1)/(x2-x1)
M = (5-9)/(7-3)
M = -1
The required slope for the lines -1.
Given that,
To determine the slope of the line that passes through points (3,9) and (7,5).
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx, where x is in degrees.
What is simplification?The process in computation to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Slopes of the line can be given as,
m = [y₂ - y₁ ] / [x₂ - x₁]
for points, (3,9) and (7,5)
m = 5 - 9 / 7 - 3
m = -4 / 4
m = 1
Thus, the required slope for the lines is -1.
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Factor the algebraic expression 40a + 15
Answer:
5(8a+3)
Step-by-step explanation:
Rewrite 15 as 5 * 3
Rewrite 40 as 5 * 8
=5*8a+5*3
=5(8a+3)
Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining. what is the range of this function
Answer:
raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. (given)
thus, rate of draining of water gallons per minute = -1.5
amount of water remaining in the bathtub = y,
the function of the time in minutes that it has been draining = x, .
at 0 minutes the amount of water is 40 gallons.
thus,the volume of water is 40 is decreasing at the rate of 1.5 gallons per minute
the given function is a linear function
y = 0
however, the volume of water can be 0 but cannot ever be negative.
thus, the range of y will be all real numbers such that 0≤y≤40
Step-by-step explanation:
Answer:
y = 0
Step-by-step explanation:
i took test
The tables of ordered pairs represent points on the graphs of Equation 1 and Equation 2. Which system of equations is represented
by these two tables?
A)
4x + y = 24
2x + 2y = 4
B)
x + 4y = -24
x-y--4
C)
x - 4y= 24
x+y=4
D)
4x - y = 24
2x - 2y - 4
Answer:
Step-by-step explanation c
Consider the following vector function. r(t) = 3t, 1 2 t2, t2 (a) find the unit tangent and unit normal vectors t(t) and n(t).
The unit tangent vector t(t) is (3, 4t, 2t) / sqrt(9 + 20t^2), and the unit normal vector n(t) is (3, 4, 2t) / sqrt(25 + 4t^2).
The unit tangent vector t(t) of the given vector function r(t) = (3t, 1 + 2t^2, t^2) is obtained by dividing the derivative of r(t) by its magnitude. The derivative of r(t) is (3, 4t, 2t), and the magnitude of this vector is sqrt(9 + 20t^2). Therefore, t(t) = (3, 4t, 2t) / sqrt(9 + 20t^2).
The unit normal vector n(t) can be obtained by dividing the derivative of t(t) by its magnitude. The derivative of t(t) is (3, 4, 2t), and the magnitude of this vector is sqrt(25 + 4t^2). Thus, n(t) = (3, 4, 2t) / sqrt(25 + 4t^2).
These unit vectors t(t) and n(t) represent the direction of motion and the direction of the curve's curvature at each point t, respectively, providing valuable information about the behavior of the vector function r(t).
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