Answer:
The answer is "(1, -12)"
Step-by-step explanation:
In the given question some information is missing, that is the attachment of the graph, which can be attached as follows:
In the attached figure file, the quadrilateral ABCD vertices are (-3, 4), (3,4),(1,-2), and (-5,-2)
To find the coordinates of the D' the translation of (x, y) = (x + 6, y-10)
where point D=(-5, -2),
\(\to x=x+6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to y=y-10\\\\\to x=-5+6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to y=-2-10 \\\\\to x=1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to y=-12\)
So, the coordinates of D' is (1,-12).
Compare 0.3 and 0.8 using >,=, or <. Draw a model or number line to support your solution
0.8 is greater than 0.3 an image is attached to show the plotting on the number line.
What is a number line?A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.
Given, are two decimals 0.3 and 0.8.
We know 0.3 lies between 0 and 0.5 and 0.8 lies between 0.5 and 1.
∴ 0.8 > 0.3.
The plotting of the numbers is attached in the image.
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Determine whether each of the following pairs of angles have equal measures.
The pairs of angles that have equal measures are:
LJP NJRMJP PJRThe pairs of angles that do not have equal measures are:
MJK PJR KJRMJP KJL LJMWhat is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
Both MJK and PJR can be seen as (Unequal angles)
The angle MJK is ( 90 degrees), then angle PJR will be ( 48 + 46 )= 94 degrees
Both LJP and NJR can be seen as ( Equal angles)
The measure of angle LJP = 48 + 46 + 48 = 142 degrees
The measure of angle NJR = 48 + 48 + 46 = 142 degrees
KJR & MJP = Unequal
The angle KJR will now be [ 360 - (46+48+48+46+90) ]
= 82 degrees
The angle MJP will be ( 94 degrees)
Both KJL & LJM are Unequal, then
The angle KJL will be 42 degrees, then angle LJM will be ( 90 - 42 )
= 48 degrees
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CHECK THE COMPLETE QUESTION BELOW:
Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair
of angles into the correct catagory to show which pairs have equal measures.
MO
N
46°
42°
48°
46°
R
ZMJK and LPUR
ZLJP and ZNJR
ZKJR and ZMJP
MJP and ZPJR
ZKIL and ZUM
Equal Measures
Unequal Measures
2) Calculate the perimeter and area of the following shapes. Put the answer in pi notation
and rounded to the nearest tenth.
Height of Square- 5ft
The area of the square is 25ft² and the perimeter is 20ft.
How to illustrate the area?It's important to note that the area of a square is calculated as:
= Side ²
The perimeter is calculated as:
= 4 × Side
From the information given, the side is 5ft. The area will be:.
= 5 × 5
= 25ft²
The perimeter will be:
= 4 × Sode
= 4 × 5ft.
= 20 feet
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Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet? 1884 feet 4415.63 feet 58.88 feet 117.75 feet
The distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet
How to calculate the circumference of a circle?The formula for calculating the circumference of a circle is expressed as:
C = 2πr
r is the radius of the circle
Given the following parameters
r = 75ft
Substitute the parameters to have:
C = 2(3.14)(75)
C = 471feet
Hence the distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet
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Please help me on circle theorems
Answer:
Thus: m=14°, n=28°
Step-by-step explanation:
Angles in a Circle
Let's review some concepts about angles in a circle.
The central angle is formed between two radii and its vertex lie at the center of the circle.
The inscribed angle is formed between two chords whose vertex lies on the circumference of a circle.
The measure of a central angle x formed by the same lines that define an inscribed angle y is:
x = 2y
Following the definitions and relations above, we find that:
The measure of the central angle 98° is double the inscribed angle 35°+mThe measure of the central angle n is double the inscribed angle mThe first statement leads to:
98 = 2 (35+m)
Dividing by 2:
49 = 35 + m
m = 49 - 35 = 14
m = 14°
The second statement leads to:
n = 2m = 28°
Thus: m=14°, n=28°
Help!!!!!!!!!!! image below! will give brainliest! no links!
Help me with this, it’s due in a bit!
Answer:
64 square centimeters
Step-by-step explanation:
The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.
Finding the triangular face:
Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)
12 * 4 (4 sides) = 48 square cm
Finding the Base = \(w * l = 4 * 4 = 16\)
Finally, we add it together. 48 + 16 = 64
A normal population has a mean of $75 and standard deviation of $5. You select random samples of 40. a Apply the central limit theorem to describe the sampling distribution of the sample mean with » = 40. What condition is necessary to apply the central limit theorem?
The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
To apply the Central Limit Theorem, the following condition is necessary:
1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).
In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.
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In a bag of marbles, image are red, image are blue, image are green, and image are yellow. You pick a marble without looking. What color marble are you MOST likely to choose?
A.
blue
B.
red
C.
yellow
D.
green
one
mole lf an ideal gas occupied 22.4L at standard temp. and pressure.
what would be the volume of one mole of an ideal gas at 255C and
1772mmHg
The volume of one mole of an ideal gas at 255°C and 1772 mmHg is calculated using the ideal gas law, which gives V1 = 22.4 L. The formula is V2 = (nRT2) / P2, resulting in a volume of 0.0244 L.
Given:One mole of an ideal gas occupies 22.4 L at standard temperature and pressure.Now, we need to calculate the volume of one mole of an ideal gas at 255°C and 1772 mmHg.The volume of the ideal gas can be calculated by using the ideal gas law which is given by:PV = nRT
Where,P = pressure
V = volume of the gas
n = number of moles
R = universal gas constant
T = temperature of the gas
At standard temperature and pressure (STP), T = 273 K and P = 1 atm.
The volume of 1 mole of an ideal gas at STP, V1 = 22.4 L.From the given data, the temperature of the gas is T2 = 255°C = 528 K and the pressure of the gas is P2 = 1772 mmHg.
To calculate the volume of the gas at these conditions, we can use the formula:V2 = (nRT2) / P2Where n = 1 moleR = 0.0821 L atm/K mol
Putting the given values in the above equation we get,
V2 = (1 * 0.0821 * 528) / 1772V2
= 0.0244 L
So, the volume of one mole of an ideal gas at 255°C and 1772 mmHg is 0.0244 L. This is the answer to the given question which includes the given terms in it.
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Match each power of a power expression with its simplified expression.
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
Here, we want to match what we have on the left with the expressions on the right.
(-4^9)^2
= -4^18
(4^6)^-3
= 4^-18 = 1/4^18 according to laws of indices
(4^0)^-9 = 4^0
(4^-3)^-3
= 4^9
Answer:
(-4^9)^2 = -4^18
(4^6)^-3 = 1/4^18
(4^0)^-9 = 4^0
(4^-3)^-3 = 4^9
Step-by-step explanation:
The fifth graders were given sandwiches for lunch during their field trip. Nathan ate 5/6 of his sandwich, Leroy ate 7/8 of his sandwich, and Sofia ate 5/8 of her sandwich. Who ate the greatest amount of their sandwich?
Answer:
Leroy ate the most
Step-by-step explanation:
Hi can some one please help me !!!
Answer:
3
Step-by-step explanation:
Choose the equation that correctly shows the Commutative Property of Multiplication.
10 x3/10 = 10 x 3/10
10 +3/10 = 3/10x 10
10 x 3/10 = 3/10 x 10
10 x3/10 = 3/10 ÷ 10 IL GIVE BRAINLIEST!!!
He equation that rightly shows the Commutative Property of addition is
10 x3/10 = 3/10 x 10
The Commutative Property of Multiplication states that changing the order of the factors doesn't change the product. In other words, when you multiply two figures, it doesn't count which number comes first. The equation 10 x3/10 = 3/10 x 10 is an illustration of this property, as both sides of the equation represent the same value, indeed though the order of the factors is different.
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Consider the DE: x 2
y ′′
−4xy ′
+6y=0 A) Verify that y=c 1
x 3
+c 2
x 2
is a solution of the given DE. Is it a general solution of the DE? Explain your answers. B) Find a solution to the BVP: x 2
y ′′
−4xy ′
+6y=0,y(1)=−3,y ′
(−1)=2.
a) The general solution of the DE should include all possible solutions, which may not necessarily take this specific form.
b) The unique solution to the BVP is:
y = (-16/5)x^3 + (7/5)x^(-2)
A) To verify that y=c1x^3+c2x^2 is a solution of the given DE, we need to find its first and second derivatives and substitute them into the DE:
y = c1x^3 + c2x^2
y' = 3c1x^2 + 2c2x
y'' = 6c1x + 2c2
Substituting these expressions into the DE, we get:
x^2(6c1x + 2c2) - 4x(c1x^3 + c2x^2) + 6(c1x^3 + c2x^2) = 0
Simplifying this equation, we get:
2c2x^4 + 6c1x^4 = 2(c1 + 3c2)x^4
Since this equation holds for any value of x, we can conclude that y=c1x^3+c2x^2 is indeed a solution of the given DE.
However, this solution is not a general solution of the DE because it only represents a particular family of solutions that can be obtained by choosing values for the constants c1 and c2. The general solution of the DE should include all possible solutions, which may not necessarily take this specific form.
B) To find a solution to the BVP: x^2y'' - 4xy' + 6y=0 , y(1)=-3, y'(-1)=2, we can use the method of undetermined coefficients. We assume that the solution takes the form y=x^n, where n is a constant to be determined. Then, we find the first and second derivatives of y:
y = x^n
y' = nx^(n-1)
y'' = n(n-1)x^(n-2)
Substituting these expressions into the DE, we get:
x^2(n(n-1)x^(n-2)) - 4x(nx^(n-1)) + 6x^n = 0
Simplifying this equation, we get:
n(n-3)x^n = 0
Since x^n cannot be zero for all x, we must have n=3 as the only possible value. Therefore, the general solution of the DE can be written as:
y = c1x^3 + c2x^(-2)
To find the particular solution that satisfies the given boundary conditions, we use y(1)=-3 to get:
c1 + c2 = -3
Then, we use y'(-1)=2 to get:
3c1 - 2c2 = 2/(-1)
Solving these two equations simultaneously, we get:
c1 = -16/5
c2 = 7/5
Therefore, the unique solution to the BVP is:
y = (-16/5)x^3 + (7/5)x^(-2)
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The population of a rural town is 250 people. It is expected that the population of the town will double every decade. Which function represents p(d), the population
after d decades?
a. p(d) = 2^d + 250
b. p(d) = 2(250)^d
c. p(d) = 250(2)^d
d. p(d) = 2d + 250
Solve the system:
x + y = 19
y = 3x - 1
Which statement about the graph is accurate? Point A is a relative minimum of the graph. Point B is a turning point of the graph. Point C is a maximum of the graph. Point D is a y-intercept of the graph.
Answer:
its C
Step-by-step explanation:
I just took the test
Answer:
point c
Step-by-step explanation:
gimme points and i will give explain
A movie theater sends out a coupon for 35% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant. The equation is y=
The value of the equation is y = 0.75x , where y is the total cost of the ticket and x is the original cost of the ticket
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 original cost of the ticket be represented as x
Let the discounted price of the ticket be y
Now , the percentage of discount = 35 %
So , the discounted price of the ticket y = original cost of the ticket - ( 35/100 ) x original cost of the ticket
Substituting the values in the equation , we get
The discounted price of the ticket y = x - 0.35x
On simplifying the equation , we get
The discounted price of the ticket y = 0.75x
y = 0.75x be equation (1)
Now , the cost of the ticket cannot be a negative value so it should lie in the first quadrant
Hence , the equation is y = 0.75x
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I am confused still, how would I do this?
Answer:
yes, its a solution
Step-by-step explanation:
6(-2)+5(1)=-7
-12+5=-7 this is correct
2(-2)-4(1)=-8
-4-4=-8 this is also correct
Suppose that, in an alternate universe, the possible values of m
l
are the integer values including 0 ranging from −l−1 to l+1 (instead of simply −l to +l ). How many orbitals would exist in each of the following subshells? A. p subshell B. d subshell Which atomic orbitals have values of n=3 and I=1 ?
A. In the alternate universe, the p subshell would have 5 orbitals.
B. In the alternate universe, the d subshell would have 10 orbitals.
In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.
A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).
B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).
Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.
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A load has a reflection coefficient of 0.5 when re- ferred to 50 2. The load is at the end of a line with a 50 32 characteristic impedance. (a) If the line has an electrical length of 45°, what is the reflection coefficient calculated at the input of the line? (b) What is the VSWR on the 50 N2 line?
The VSWR on the 50 Ω line is 2.68.
(a) To calculate the reflection coefficient at the input of the line, we can use the equation:
Γin = (ΓL + e^(j2βL))/(1 + ΓL*e^(j2βL))
where Γin is the reflection coefficient at the input of the line, ΓL is the reflection coefficient of the load, β is the propagation constant of the line, L is the electrical length of the line in radians, and j is the imaginary unit.
In this case, ΓL = 0.5, β = 2π/λ (where λ is the wavelength of the signal on the line), L = 45° = π/4 radians, and the line has a characteristic impedance of 50 Ω.
To find the wavelength, we can use the equation:
λ = v/f
where v is the speed of light and f is the frequency of the signal. Assuming a frequency of 1 GHz, we get:
λ = 3e8 m/s / 1e9 Hz = 0.3 m
So, β = 2π/λ = 20.94 rad/m.
Substituting these values into the equation for Γin, we get:
Γin = (0.5 + e^(j220.94π/4))/(1 + 0.5e^(j220.94*π/4))
Using Euler's formula (e^(jθ) = cos(θ) + j*sin(θ)), we can simplify this expression:
Γin = (0.5 + j0.5)/(1 + 0.5*j)
Multiplying the numerator and denominator by the complex conjugate of the denominator, we get:
Γin = (0.5 + j0.5)(1 - 0.5j)/(1 + 0.25) = (0.75 + j0.25)/1.25
So, the reflection coefficient calculated at the input of the line is:
Γin = 0.6 + j0.2
(b) To calculate the VSWR on the 50 Ω line, we can use the formula:
VSWR = (1 + |Γin|)/(1 - |Γin|)
where |Γin| is the magnitude of the reflection coefficient at the input of the line.
In this case, we calculated that Γin = 0.6 + j0.2. The magnitude of this complex number is:
|Γin| = sqrt(0.6^2 + 0.2^2) = 0.632
So, the VSWR on the 50 Ω line is:
VSWR = (1 + 0.632)/(1 - 0.632) = 2.68
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What is the mZQPT?
P Q R S T
Answer:
angle qpt equals 125
Step-by-step explanation:
QPT=60,RPS=45, and SPT=90-60=30
so its sum will be 125
Solve a system of linear equations to find that values of x and y
m<2y m<4x m<(2x + 12) m<(y + 6)
The linear equations are 4x + ___ = 180 and 2x + ___ = 180
The solutions are x = ___ and y = ___
The solutions to the systems of equations are x = 30 and y = 54
The correct linear equation is expressed as:
4x+y+6=180 ................1
2x+2y+12=180 .................2
The equations can also be written as:
4x + y = 174 .................... 3 × 2
2x + 2y = 168 ................... 4 × 1
______________________________________
8x + 2y = 348
2x + 2y = 168
Subtract both equations
8x - 2x = 348 - 168
6x = 180
x = 180/6
x = 30
Substitute x = 30 into equation 3:
4x + y = 174
4(30) + y = 174
120 + y = 174
y = 174 - 120
y = 54
Therefore the solutions are x = 30 and y = 54
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Find the value of x. Assume that lines that
appear tangent are tangent.
X
10 15
24
The value of x in the chord intersection is 16 units.
How to find the length of chord?The intersecting chord theorem states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.
Therefore, lets find the value of x in the intersecting chords as follows:
15 × x = 24 × 10
15x = 240
divide both sides of the equation by 15
x = 240 / 15
x = 16
Therefore,
x = 16 units
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Nick wants to build a banister for the staircase in his home. The height of the staircase is 8 feet, and the horizontal distance from the bottom to the top of the staircase is 15 feet.
What is the length of the banister? Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
By the Pythagorean Theorem
c^2=a^2+b^2 ( where c is the hypotenuse and a and b are the legs of a right triangle)
c^2=15^2+8^2
c^2=225+64
c^2=289
c=17 feet
6 2 need help on this asap
Answer:
if its 6² it means 6×6 =36
Answer:
36
Step-by-step explanation:
6² = 6 × 6 = 36
Note any number squared, raised to the power of 2 is the number multiplied by itself.
Can someone please help me I’m stuck I don’t know what to do
Answer: its the 2nd one
Step-by-step explanation:
a nurse is interested in the amount of time patients spend exercising per day. according to a recent study, the daily workout time per adult follows an approximately normal distribution with a mean of 94 minutes and a standard deviation of 27 minutes. if the nurse randomly samples patients in her office to analyze their exercise time and gets a standard error of 3 minutes, how many patients did she sample?
By using standard error, The nurse sampled approximately 100 patients to analyze their exercise time.
To determine the sample size, we can use the formula for the standard error of the mean:
standard error = standard deviation / √(sample size)Rearranging this formula to solve for the sample size, we get:
sample size = (standard deviation / standard error)²Plugging in the values given in the problem, we get:
sample size = (27 / 3)² = 81However, because the population size is large (i.e. infinite), we can use the rule of thumb that a sample size of at least 30 is sufficient for a normal distribution. Therefore, the nurse should sample at least 30 patients, but she likely sampled around 100 patients to obtain a standard error of 3 minutes with a normal distribution of exercise time.
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a single lily pad sits in an empty pond. everyday, the lily pad doubles in area until the whole pond is covered- it is known that it would take 10 days for the single lily pad to cover the entire pond. imagine instead starting with 8 lily pads on the first day. how many days will it take for the surface of the pond to be covered?
It would take 4 days for the surface of the pond to be covered if we start with 8 lily pads.
Since each lily pad doubles in area every day, after 10 days, the single lily pad covers the entire pond. This means that on the first day, the lily pad covers half of the pond's area. If we start with 8 lily pads instead, the combined area of the lily pads on the first day would be 8 times the area of a single lily pad.
Therefore, the combined area of the 8 lily pads would cover 8 times half of the pond's area, which is equivalent to 4 times the pond's area. Since the combined area of the 8 lily pads is four times the pond's area, it would take 4 days for the 8 lily pads to cover the entire pond, assuming each lily pad doubles in area each day.
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