Janaya buys a postcard from each travel destination she visits. Before starting her travels this year, Janaya had 20 postcards. During the year, she added 3 more postcards to her collection.
Answer:
The percentage increase in Jayana's postcard collection is 15%
Step-by-step explanation:
Jayana had 20 postcards last year
With 3 more postcards this year
From the given equation Quantity = Percent x Whole
Here;
Let P = Percent/100%
Quantity = Increment in postcard = 3 postcards
Whole = The total postcards from last year = 20 postcards
Hence,
3 postcards = P x 20 postcards
P = 3/20 = 0.15
Recall P = Percent/100%
∴ Percent = P x 100% = 0.15 x 100% = 15%
The percentage increase in Jayana's postcard collection is 15%
Iman has 48 months to save $18,000, the maximum amount he estimates his first year of college will cost. he does not want to depend on interest, and does not consider interest when determining his minimum monthly savings goal. what is the minimum amount he should save per month to achieve his goal? $350.00 $375.00 $425.00 $450.00
Answer:
$ 375 / month
Step-by-step explanation:
$ 18 000 / 48 months = 375 /month
The minimum amount he should save per month to achieve his goal is $375.00. Thus, option 2 is correct.
Given that:
Number of months = 48
Monthly savings = $18,000
The minimum amount to save per month can be calculated by dividing the total amount by the number of months:
Minimum monthly savings goal = Total amount to save / Number of months
Minimum monthly savings goal = $18,000 / 48
Minimum monthly savings goal ≈ $375.00
Therefore, the minimum amount he should save per month to achieve his goal is $375.00. Thus, option 2 is correct.
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PLS HELP WILL MARK BRAINLIEST!!!!!!!!
answer both questions (they are two separate questions)
Answer:
1. C 2. A
Step-by-step explanation:
your welcome =0 (=
To change knots per hour to miles per hour, use the expression 1.15k, where k is the speed in knots per hour. If a plane is flying at 300 knots per hour, how fast is it flying in miles per hour?
Answer:
345 miles per hour = 300 knots per hour
Step-by-step explanation:
k being knots
300 times 1.15
1.15 miles per hour for every 1 knot per hour
Find the value of the variable
Answer:
#19 is 16 and tahts all i know
Roxanne is measuring the diameter and the radius of different-sized circles.
There is a proportional relationship between the radius of the circle in inches, x, and the diameter of the circle in inches, y.
x (radius in inches) y (diameter in inches)
1 2
2 4
9 18
10 20
What is the constant of proportionality? Write your answer as a whole number or decimal.
inches in diameter per inch in radius
Answer:
2
Step-by-step explanation
A boat travels to an island and back in 78 minutes. If the speed of the boat going to the island is 14 mph, and its speed returning is 12 mph, how far away is the island
Answer:
8.4 miles
Step-by-step explanation:
Given that :
Total time taken = 78 minutes = 78/60 = 1.3 hours
To Speed = 14 mph
Fro Speed = 12 mph
Let the distance be represented as, d
Distance = speed * time
Time = distance / speed
To time + Fro time = 1.3 hours
d / 14 + d / 12 = 1.3 hours
Take lcm of 14 and 12 ; = 84
(6d + 7d) / 84 = 1.3
13d /84 = 1.3
13d = 1.3 * 84
13d = 109.2
d = 109.2 / 13
d = 8.4 miles
The distance is 8.4 miles
Determine the slope and y-intercept. y = 3/2x + 3
Answer:
Slope: 3/2
Y-intercept: 3
Step-by-step explanation:
Because the equation is set up as mx+b, the slope is actually just the number in front of x, and the y-intercept is 3
Question below, please help! this is part of my grade.. (30 points)
Answer:
y = 1 + 2√7 or y = 1 - 2√7
Step-by-step explanation:
To complete the square, you need to add and subtract the square of half of the coefficient of the y term.
First, you can factor out a 1 from the y^2 - 2y term:
y^2 - 2y - 27 = 0
y^2 - 2y = 27
Next, take half of the coefficient of the y term (-2/2 = -1) and square it (1):
y^2 - 2y + 1 - 1 = 27
The "+1 -1" doesn't change the value of the equation, it's just a way to add 0 to the equation so we can complete the square.
Now you can rewrite the left side as a perfect square:
(y - 1)^2 - 28 = 0
Add 28 to both sides:
(y - 1)^2 = 28
Take the square root of both sides (remembering to include both positive and negative square roots):
y - 1 = ±√28
y = 1 ± 2√7
So the solutions are:
y = 1 + 2√7
y = 1 - 2√7
Answer: y=± 2√7+1
6.29
Step-by-step explanation: Use the formula
(b/2)^2 in order to create a new term. Solve for y by using this term to complete the square.
289=a^2 what is a equal to?
Answer:
A will equal 17.
Step-by-step explanation:
What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 100 y = x + 2
Answer:
x = - 8, x = 6
Step-by-step explanation:
Given the 2 equations
x² + y² = 100 → (1)
y = x + 2 → (2)
Substitute y = x + 2 into (1)
x² + (x + 2)² = 100
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
Consider a 2-layer channel with a flat bottom. Consider a domain infinitively wide in
y (practically when you have to write the dispersion relation only kx remains and you can
neglect ly). Show that, in presence of rotation, there is a minimal length for baroclinic
instability to take place
Rhines criterion implies that there is a minimum length scale for baroclinic instability to take place, which is given by:
L = 2π/kx = 2π[(N² - f₂²)/(f₁² - f₂²)]¹/²
In a 2-layer channel with a flat bottom and infinite width in y, the dispersion relation for baroclinic instability is given by:
ω = kx[(f₁² - f₂²)/(N² - f₂²)]¹/²
Where ω is the frequency, kx is the wavenumber in the x-direction, f₁ and f₂ are the Coriolis parameters for the upper and lower layers, and N is the buoyancy frequency.
In the presence of rotation, the minimum length for baroclinic instability to take place is determined by the condition that the frequency ω must be positive. This means that:
(f₁² - f₂²)/(N² - f₂²) > 0
or equivalently:
f₁ > (N²f₂)¹/²
This condition implies that the Coriolis parameter in the upper layer must be greater than the square root of the product of the buoyancy frequency and the Coriolis parameter in the lower layer. This is known as the "Rhines criterion" and represents a necessary condition for the development of baroclinic instability in rotating fluids.
Furthermore, the Rhines criterion implies that there is a minimum length scale for baroclinic instability to take place, which is given by:
L = 2π/kx = 2π[(N² - f₂²)/(f₁² - f₂²)]¹/²
This length scale represents the typical size of the eddies that form due to baroclinic instability in rotating fluids, and is proportional to the inverse square root of the difference between the Coriolis parameters in the upper and lower layers.
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HELP I WILL GIVE BRAINLIEST
Answer:
The variable "a" can represent anything except a negative number since it is negative 38 on the opposite end, so put 1 or anything higher to make this equation true. :D
Step-by-step explanation:
URGENT!!! PLEASE HELP! WILL MARK BRAINLIEST!!!
Determine the probability of the treatment group’s mean being lower than the control group’s mean by 15 points or more. Then complete the statements.
The significance level is set at 5%, and the probability of the result is
(7.7/9.2/4.6/5/7.8)%, which is (less than/the same as/greater than)
the significance level. The result is ( not statistically significant/inconclusive/statistically significant)
The significance level is set at 5%, and the probability of the result is 0%, which is less than the significance level. The result is statistically significant.
We are given that;
The probability of the result=(7.7/9.2/4.6/5/7.8)%
Now,
To determine the probability of the treatment group’s mean being lower than the control group’s mean by 15 points or more, we need to find the difference between the two sample means and compare it to the standard error of the difference. The standard error of the difference can be estimated using the formula:
SE = √(s1^2 / n1) + (s2^2 / n2)
where s1 and s2 are the sample standard deviations and n1 and n2 are the sample sizes.
Assuming that the treatment group is group 1 and the control group is group 2, we can plug in the values given in the question:
SE = √(9.2^2 / 30) + (7.7^2 / 30)
SE = √3.02
SE = 1.74
The difference between the two sample means is:
x1 - x2 = 85 - 100
x1 - x2 = -15
To find the probability of this difference or lower, we need to find the z-score and use a normal distribution table or calculator3:
z = (x1 - x2) / SE
z = (-15) / 1.74
z = -8.62
Using a normal distribution table or calculator, we can find that P(z ≤ -8.62) ≈ 0, which means that the probability of the treatment group’s mean being lower than the control group’s mean by 15 points or more is very close to zero.
Therefore, by probability the answer will be statistically significant.
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Can someone help me with this please?
Answer:
your awnser would be. 1/4
Answer:
y=3x-2
Step-by-step explanation:
3/1 simp so 3
then pick a point (1,1) I marked were what goes hope that helps you understand
(1)=(3)(1)+b
1=3+b
-3 each side
1-3=-2
-2=b
y=3x-2
evaluate the iterated integral by converting to polar coordinates. 4 0 √16 − x2 0 e−x2 − y2 dy dx
the value of the iterated integral is (π/8) (2 - e^(-16)).
We have the iterated integral:
∫[0,4] ∫[0,√(16-x^2)] e^(-x^2-y^2) dy dx
To convert this to polar coordinates, we need to express x and y in terms of r and θ.
We have:
x = r cos(θ)
y = r sin(θ)
We also need to express the differential element dA in terms of polar coordinates. We have:
dA = r dr dθ
Substituting these expressions into the given integral, we get:
∫[0,π/2] ∫[0,4] e^(-r^2) r dr dθ
The limits of integration for θ are 0 to π/2 because the region lies in the first and second quadrants.
We can evaluate this integral using the fact that the integral of e^(-r^2) is √π/2:
∫[0,π/2] ∫[0,4] e^(-r^2) r dr dθ
= ∫[0,π/2] [-1/2 e^(-r^2)] [0,4] dθ
= ∫[0,π/2] (1/2 - 1/2 e^(-16)) dθ
= π/4 - π/8 (1 - e^(-16))
= (π/8) (2 - e^(-16))
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list and describe two specialized alternatives not often used as a continuity strategy. quizlet
1. P-adic Numbers:
P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.
2. Nonstandard Analysis:
Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.
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Select the correct answer.
What is the value of y in this linear system?
2x + 3y + 7z = 13
X-2y = 3
y + 4z = 1
Answer:
5 creo
Step-by-step explanation:
Emily rented a truck to move her belongings from her old apartment to her new apartment. The company charges a flat rental fee of $21.50 with an additional $0.50 for each mile driven. If the total cost was at most $121, how far did Emily drive to move her belongings to her new apartment?
A.
at least 199 miles
B.
at most 199 miles
C.
at least 60.5 miles
D.
at most 242 miles
Answer:
B.
at most 199 miles
Step-by-step explanation:
To find how many miles Emily drove, we need to use the equation
Total cost = flat fee + miles driven * cost per mile
Substituting in the numbers
121 ≥ 21.50 + m * .5
121≥ 21.50 +.50m
Subtract 21.50 from each side.
99.50 ≥ .5m
Divide each side by .5
199 ≥m
Emily drove less than or equal to 199 miles
C 5. Suppose m and c each represent the position number of a letter in the alphabet, but m represents the letters in the original message and c represents the letters in a secret code. The equation c = m + 2 is used to encode a message. a. Write an equation that can be used to decode the secret code into the original message. b. What does this code say: "OCVJ KU HWPI!"?
a. The equation that can be used to decode the secret code is m = c - 2.
b. The decoded message for "OCVJ KU HWPI!" is "MATHE IS FUN!"
a. To decode the secret code into the original message, we can rearrange the equation c = m + 2 to solve for m:
m = c - 2
So the equation that can be used to decode the secret code is m = c - 2.
b. Using the given code "OCVJ KU HWPI!", we can apply the decoding equation to each letter to retrieve the original message.
For "OCVJ":
m = O - 2 = M
m = C - 2 = A
m = V - 2 = T
m = J - 2 = H
For "KU":
m = K - 2 = I
m = U - 2 = S
For "HWPI!":
m = H - 2 = F
m = W - 2 = U
m = P - 2 = N
m = I - 2 = G
Therefore, the decoded message for "OCVJ KU HWPI!" is "MATHE IS FUN!"
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If m/ABC = 118° and
m/DBC
118° and m/DBC = 83° what is the m/ABD?
The value of the angle ∠ABD is found to be 35°.
What is meant by angles?An angle is a figure in Plane Geometry consisting of two rays or lines that have a common endpoint.
An angle is a line segment with a common endpoint. "Angle" originates from the Latin term "angulus," which means "corner." The two rays are referred to as the sides of an angle, and thus the common endpoint is referred to as the vertex.Now, as per the given question;
The ∠ABC comprises of two angles ∠ABD and ∠DBC.
Thus, it can be written as;
∠ABC = ∠ABD + ∠DBC
We have to estimate the value of the angle ∠ABD.
Thus,
Rearranging the angles;
∠ABD = ∠ABC - ∠DBC
The values of angles are given;
∠ABC = 118° and ∠DBC = 83°.
Substituting the values;
∠ABD = 118° - 83°
∠ABD = 35°
Therefore, the value of the is ∠ABD obtained as 35°.
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Find (A) The Slope Of The Curve At The Given Point P, And (B) An Equation Of The Tangent Line At P Y=−1−7x2,P(−3,−64) (A) The Slop
An equation of the tangent line at point P(-3, -64) is y = 42x + 62.
To find the slope of the curve at the point P(-3, -64), we can differentiate the equation y = -1 - 7x^2 with respect to x to find the derivative.
Let's find the derivative dy/dx:
y = -1 - 7x^2
dy/dx = -14x
Now we can substitute the x-coordinate of point P (-3) into the derivative to find the slope:
slope = dy/dx at x = -3
= -14(-3)
= 42
Therefore, the slope of the curve at point P is 42.
To find an equation of the tangent line at point P, we can use the point-slope form of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Using the slope m = 42 and the point P(-3, -64), we can substitute these values into the equation:
y - (-64) = 42(x - (-3))
y + 64 = 42(x + 3)
y + 64 = 42x + 126
y = 42x + 62
Therefore, an equation of the tangent line at point P(-3, -64) is y = 42x + 62.
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Find the values of x and y
Answer:
x = 78º
y = 35º
Step-by-step explanation:
These are isosceles triangles
two angles are congruent
-----------------------------
x + 51 + 51 = 180
x = 180 - 102
x = 78º
y + y + 110 = 180
2y = 70
y = 35º
Is it possible to subtract a loss from a positive number and result in a negative number?
Answer:
yes that's possible for example -3-5=-8
On a recent trip to New York City, Mr. Kelly went to the top of the Empire State Building. He knows that the Empire State building is 1250 feet high, but he wants to figure out how tall the building across the street is (its 100 feet across the street). He measures the angle of depression from the Empire State Building to the roof of the adjacent building to be 23°. How tall is the building across the street from the Empire State Building?
Answer:
teri maa ki chut me mera land madarchod sale gand marunga teri
help with this HW problem
y"- 2y' + 5y = 1 + t + δ(t-2), y(O) = 0, y'(0) = 4
The solution to the given differential equation is y(t) = -1/2e^t + 2te^t + 1/2 + δ(t-2), where δ(t) is the Dirac delta function.
To solve the given differential equation, we will first find the complementary solution, which satisfies the homogeneous equation y'' - 2y' + 5y = 0. Then we will find the particular solution for the inhomogeneous equation y'' - 2y' + 5y = 1 + t + δ(t-2).
Step 1: Finding the complementary solution
The characteristic equation associated with the homogeneous equation is r^2 - 2r + 5 = 0. Solving this quadratic equation, we find two complex conjugate roots: r = 1 ± 2i.
The complementary solution is of the form y_c(t) = e^rt(Acos(2t) + Bsin(2t)), where A and B are constants to be determined using the initial conditions.
Applying the initial conditions y(0) = 0 and y'(0) = 4, we find:
y_c(0) = A = 0 (from y(0) = 0)
y'_c(0) = r(Acos(0) + Bsin(0)) + e^rt(-2Asin(0) + 2Bcos(0)) = 4 (from y'(0) = 4)
Simplifying the above equation, we get:
rA = 4
-2A + rB = 4
Using the values of r = 1 ± 2i, we can solve these equations to find A and B. Solving them, we find A = 0 and B = -2.
Thus, the complementary solution is y_c(t) = -2te^t sin(2t).
Step 2: Finding the particular solution
To find the particular solution, we consider the inhomogeneous term on the right-hand side of the differential equation: 1 + t + δ(t-2).
For the term 1 + t, we assume a particular solution of the form y_p(t) = At + B. Substituting this into the differential equation, we get:
2A - 2A + 5(At + B) = 1 + t
5At + 5B = 1 + t
Matching the coefficients on both sides, we have 5A = 0 and 5B = 1. Solving these equations, we find A = 0 and B = 1/5.
For the term δ(t-2), we assume a particular solution of the form y_p(t) = Ce^t, where C is a constant. Substituting this into the differential equation, we get:
2Ce^t - 2Ce^t + 5Ce^t = 0
The coefficient of e^t on the left-hand side is zero, so there is no contribution from this term.
Therefore, the particular solution is y_p(t) = At + B + δ(t-2). Plugging in the values we found earlier (A = 0, B = 1/5), we have y_p(t) = 1/5 + δ(t-2).
Step 3: Finding the general solution
The general solution is the sum of the complementary and particular solutions:
y(t) = y_c(t) + y_p(t)
y(t) = -2te^t sin(2t) + 1/5 + δ(t-2)
In summary, the solution to the given differential equation is y(t) = -1/2e^t + 2te^t + 1/2 + δ(t-2).
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PLEASE HELP!!! I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
1. ∠1 and ∠3 are vertically angles
2. ∠8 and ∠7 are Same side interior .
How to find angles when parallel lines are cut by a transversal?
when parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles, same side exterior angles, same side interior angles etc.
Therefore, the angles can be established as follows:
Hence,
∠1 and ∠3 are vertically opposite angles.
Vertically opposite angles are congruent.
∠7 and ∠8 are Same side interior angles.
Same side interior angles are supplementary. That means they add up to 180 degrees.
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a gardener is designing a rectangular planter for a rose garden in front of the administration building on a university campus. the gardener has enough material to build a 300-foot fence to enclose the garden. he also has enough roses to fill a 5,200 square foot planter.
a. To represent the garden's width, w, in terms of its length, I, we can use the equation: w = 300 - 2I
b. g(l) = l * (300 - 2l) this function gives the area of the rose garden (g) as a function of its length (l)
a. To represent the garden's width, w, in terms of its length, I, we can use the equation:
w = 300 - 2I
The width is equal to the remaining fence length (300 feet) after subtracting twice the length (2I) because the rectangular planter has two equal sides and two equal ends.
b. To define a function g that represents the rose garden's area in terms of its length, l, we can use the equation:
g(l) = l * w
Substituting the expression for the width from part (a), the function becomes:
g(l) = l * (300 - 2l)
This function gives the area of the rose garden (g) as a function of its length (l), taking into account the relationship between length and width.
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complete question is below
A gardener is designing a rectangular planter for a rose garden in front of the administration building on a university campus. The gardener has enough material to build a 300-foot fence to enclose the garden. He also has enough roses to fill a 5,200 square foot planter.
a. Define an expression to represent the garden's width, w, in terms of it length, I.
b. Define a function g to represent the rose garden's area in terms of its length, l.
10. The graph of a linear function that passes through the points (-2, 1) and (8, 6) is shown.
Y
What is the y-intercept of the graph of the linear function?
Answer:
(0,2)
This is extra, but the function would be y = 0.5x + 2.
Step-by-step explanation:
The y-intercept is simply where the function intersects the y-axis. In this, case it's intersecting at (0,2) so that is the answer.
To find the equation for this:
y2 - y1/x2 - x1
6 - 1/8 - (-2)
6 - 1/8 + 2
5/10 = 0.5
y = 0.5x + b
6 = 0.5(8) + b
6 = 4 + b
6-4 = (4-4) + b
2 = b
With that, the equation becomes y = 0.5x + 2
Which of the following is a solution to the equation
3/4
x-12 = -18?
1) 4.5
2) -8
3) -22.5
4) -40
Answer: B) -8
Step-by-step explanation:
We add 12 both sides
3/4 x = -18 + 12Add −18 and 12 to get −6.
3/4 x = -6Multiply both sides by 3/4 by the reciprocal of 3/4.
x = -6 × (3/4)Express a -6 x (3/4) as a single fraction.
x = -6 × 4 / 3Multiply −6 and 4 to get −24.
x = -24 / 3Divide −24 by 3 to get −8.
x = -8Answer: Option "2" is correct. ✅