LeAnn bought a total of 48 cupcakes. Each cupcake cost $0.55, including tax. Of the cupcakes she bought, 3 8 were chocolate. What was the total cost of only the chocolate cupcakes?
Answer:
Total cost= $20.9
Step-by-step explanation:
Giving the following information:
Unitary cost= $0.55
Number of chocolate cupcakes= 38
To calculate the total cost of chocolate cupcakes, we need to use the following formula:
Total cost= unitary cost*number of units
Total cost= 0.55*38
Total cost= $20.9
The table below shows the height's of three students. How much taller is Aaron than Siri?
_______________________________________________________________
Aaron - Height - 53 1/2
Rachel - Height - 53 1/4
Siri - Height - 48 3/4
_______________________________________________________________
Answer choices:
A: 4 1/4
B: 4 1/2
C: 4 3/4
D: 5 1/4
Answer:
C) 4 3/4
Step-by-step explanation:
If you're having trouble with fractions, just convert to decimal
53.5 - 48.75 = 4.75 or 4 3/4
Solve the proportion for x
\( \frac{16}{x} = \frac{192}{156} \\ = > \frac{x}{16} = \frac{156}{192} \\ = > x = \frac{156}{192} \times 16 \\ = > x = \frac{156}{12} \\ = > x = 13\)
Answer:x = 13
Answer:
X = 13
Step-by-step explanation:
\( \frac{16}{x} = \frac{192}{156} \\ by \: doing \: cross \: multiplication \\ 192x = 16 \times 156 \\ x = \frac{16 \times 156}{192} \\ x = 13\)
–
5z+8z+10z+6z+
–
9z
Answer: 10z
Step-by-step explanation:
Answer: 10z
Step-by-step explanation:
Consider a continuous-time Markov chain with three states 1, 2, 3, 4, 5 and transition rates q12=1, q13 = 2, q21 = 0, q23 = 3, q31 = 0, q32 = 0. (1) Write the system of ODEs for the corresponding transition probabilities Pᵢⱼ (t) . (2) Suppose that the initial state is 1. What is the probability that after the first transition, the process X(t) enters state 2?
the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.
Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.
The ODEs for the transition probabilities can be written as follows:
dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)
dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)
dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)
dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)
dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)
dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)
where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.
Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.
To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.
The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:
total_rate = q₁₂ + q₁₃
Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:
P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate
In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.
Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
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lify the expression 3(4M-2N)-4(5M-N). A. 12M-2N B. -SM-10N C. 12M-10N D. -8M-2N
Simplified expression and the answer is option D) -8M-2N.
To simplify the given expression 3(4M-2N)-4(5M-N), follow the distributive property of multiplication over addition. Thus:
3(4M-2N)-4(5M-N) = 12M - 6N - 20M + 4N
= (12M - 20M) + (-6N + 4N)
= -8M - 2N
Therefore, the answer is option D) -8M-2N.
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Anna has a loyalty card good for a 7% discount at her local grocery store. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Anna should multiply the prices on the tags by 0.93 to find the price she would have to pay before tax in one step.
Given that Anna has a loyalty card good for a 7% discount at her local grocery store.
We have to find the number should she multiply the prices on the tags by to find the price she would have to pay, before tax
Anna should multiply the prices on the tags by 0.93 (which is 1 minus the 7% discount) to find the price she would have to pay before tax in one step.
For example, if an item costs $10 before the discount, Anna would pay $10 x 0.93 = $9.30 after the discount.
Hence, Anna should multiply the prices on the tags by 0.93 to find the price she would have to pay before tax in one step.
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each cylinder is 12 cm high with a diameter of 8 cm calculate the volume each cylinder
Answer:
576 cm³
the formula for the volemen of a cylinder is given by V = π*r²*h
We are hold the diameter is 8 cm (r 2 4cm) and the height is 12cm
also,to use 3 as π
replacing into the formula,we have:
V= 3*4²*12 = 3*16cm*12cm*=576cm³
Step-by-step explanation:
hope it's help^_^the sum of a two digit number and the number obtained by interchanging the digits is 154.If the tens digit number is 2 more than units digit number find the original number.
Please help me i want answer full process.I will mark the answer as brainliest plz plz plz helpe
Answer:
86
Step-by-step explanation:
We can set the first digit as (10x+y)
We can interchange it to be (10y+x)
X is the second digit and Y is the first.
1) (10x+y) +(10y+x) =154
2) 11x+11y=154
3) 11(x+y) =154
4) x+y=14
5) x+x+2=14
6) 2x=12
7) x=6
8) y=6+2=8 , so y =8
TELL ME THIS ANSWER
Answer:
have a great day
god bless you
A 16 pound of feline flavor is 20.80
The statement "Feline Flavor has a lower unit price of $1.30/pound" is true. Option A is correct.
To compare the unit prices, we need to divide the price of each bag by its weight in pounds.
For Feline Flavor, the unit price is:
$20.80 ÷ 16 pounds = $1.30/pound
For Kitty Kibbles, the unit price is:
$11.20 ÷ 8 pounds = $1.40/pound
Therefore, the statement "Feline Flavor has a lower unit price of $1.30/pound" is true.
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Solve 3[-x + (2x + 1)] = x - 1.
Answer:
x=-2
Step-by-step explanation:
distribute 3
solve
What action would you use to solve c-3=12
Answer:
c=15
Step-by-step explanation:
you would add 3 to 12 and end up with c=15
Does the table represent a proportional or a nonproportional linear relationship?
x 1 2 3 4 5
y 5 7 9 11 13
The table represents a linear relationship.
Answer please?
A volume is described as follows:
1. the base is the region bounded by x=−y2+14y+15 and x=y2−28y+211;
2. every cross section perpendicular to the y-axis is a semi-circle.
Find the volume of this object.
The volume of the object is 11058.6 .To find the volume of the object described, we can use the method of cross-sectional areas.
Since every cross section perpendicular to the y-axis is a semi-circle, we can find the area of each semi-circle and integrate it along the y-axis to obtain the volume.
The region bounded by the curves x = -y^2 + 14y + 15 and x = y^2 - 28y + 211 represents the base of the object. To determine the limits of integration, we need to find the y-values where the two curves intersect.
Setting the equations equal to each other, we have:
-y^2 + 14y + 15 = y^2 - 28y + 211
Simplifying, we get:
2y^2 - 42y + 196 = 0
Dividing by 2, we obtain:
y^2 - 21y + 98 = 0
Factoring, we find:
(y - 7)(y - 14) = 0
So the curves intersect at y = 7 and y = 14.
Now, let's calculate the area of each semi-circle. The radius of each semi-circle is given by the difference between the x-values of the two curves. Thus, the radius can be expressed as:
radius = (y^2 - 28y + 211) - (-y^2 + 14y + 15)
= 2y^2 - 42y + 196
The area of a semi-circle is given by A = (1/2)πr^2. Therefore, the area of each semi-circle is:
A(y) = (1/2)π(2y^2 - 42y + 196)^2
To find the volume, we integrate the area function A(y) with respect to y over the interval [7, 14]:
V = ∫[7,14] A(y) dy
= ∫[7,14] (1/2)π(2y^2 - 42y + 196)^2 dy
Evaluating this integral will give us the volume of the object.
By following these steps, you can calculate the volume of the object based on the given description.
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Andy rode his bicycle 2
3
miles on Monday and 1
10
miles on
Tuesday
make multiplying and dividing rational numbers worksheet?
Multiplication and division of regular numbers are the same as fractions and we will learn them with the multiplication and division of rational numbers worksheet.
To do the multiplication, first find the greatest common divisor of the numerator and the denominator. The factors are then grouped together so that the score equals one. Then multiply by the remaining factors. To divide, first rewrite the division as multiplication by the inverse of the denominator.
Cuemath's interactive math worksheets contain visual simulations to help your child visualize the concepts being taught, "see things as they really are, and reinforce learning from them". The Rational Numbers Multiplication and Division Worksheet follows a step-by-step learning process that helps students better understand concepts, identify errors, and eventually develop strategies for solving future problems.
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Determine if the two triangles are congruent. If they are, state how you know.
Can someone help me?
Answer:
C
Step-by-step explanation:
the hypotenuse and the leg of the first right angle are congruent to the other triangle's.
EASY QUESTION FOR 10 POINTS
8(2y-7)=9(3y-14) +15
Answer:y=5
Step-by-step explanation:
16y-56=27y-126+15
16y-56=27y-111
16y=27y-55
-11y=-55
y=5
because a few extreme scores can create a deceptively large variation, the offers only a crude estimate of the variation in a data set.
Because a few extreme scores can create a deceptively large estimate of variation, the (B) range offers only a crude estimate of the variation in a data set.
What is a range?The range of a set of numbers is the difference between the highest and lowest values. Subtract the smallest number from the largest number in the set to calculate the range. To calculate the range, find the maximum observed value of a variable and subtract the minimum observed value (the minimum). The range only considers these two values and ignores the data points between the distribution's two extremes.Because a few extreme scores can produce an erroneously large estimate of variation, the range provides only a rough estimate of the variation in a data set.Therefore, because a few extreme scores can create a deceptively large estimate of variation, the (B) range offers only a crude estimate of the variation in a data set.
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The complete question is given below:
Because a few extreme scores can create a deceptively large estimate of variation, the _________ offers only a crude estimate of the variation in a data set.
(A) standard deviation
(B) range
(C) mode
(D) mean
A customer selected a new wallet at a local department store that the salesperson said was made of the finest calfskin
If the customer sues for a refund The customer will prevail.
B The customer, because he had a reasonable time after purchase in which to inspect.
The customer prevailing due to a reasonable time for inspection: If the customer inspected the wallet promptly after purchase and discovered the defect, they might argue that they exercised reasonable diligence and promptly returned to the store to demand a refund. This could support their claim for a refund. The customer will prevail in the case. This is because the customer had a reasonable time after purchase in which to inspect the wallet purchased. The Uniform Commercial Code provides that in any sale of goods, a buyer has a reasonable opportunity to inspect the goods to determine their condition before accepting them.
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Question is incomplete the complete question is :
A customer selected a new wallet at a local department store that the salesperson said was made of the finest calfskin and was stitched by hand. The customer bought the wallet and left the store. A few moments later, he took out the wallet to transfer his cash and credit cards into it. On close inspection, he noticed a small nick in the leather. He immediately went back to the department store and demanded a refund. The salesperson refused.
If the customer sues for a refund, who will prevail?
A The customer, because there was a breach of contract.
B The customer, because he had a reasonable time after purchase in which to inspect.
C The department store, because the customer accepted the goods.
D The department store, because the customer did not give written notice of the breach.
The differential equation that models the voltage across a capacitor in a particular electric circuit is
dt
2
d
2
u
+
L
R
dt
du
+
LC
1
u=
LC
24
Use all the methods to get the time response of this system if L=0.02,R=1000, and C=0.001
The time response of the system is given by the equation:
u(t) = A*e^(-25t)*cos(5√7t) + B*e^(-25t)*sin(5√7t)
where A and B are constants determined by the initial conditions.
The given differential equation that models the voltage across a capacitor in the electric circuit is:
d^2u/dt^2 + (L/R)(du/dt) + (1/LC)u = (1/LC)24
To find the time response of this system, we can use different methods such as the characteristic equation method and Laplace transform method.
Let's go through each method step by step:
1. Characteristic equation method:
To find the characteristic equation, we assume the solution of the differential equation to be of the form u(t) = e^(st). Substituting this into the differential equation, we get:
s^2 + (L/R)s + (1/LC) = 0
Now, we solve this quadratic equation to find the values of s.
Plugging in the values of L, R, and C from the given information, we get:
s^2 + 50s + 50000 = 0
Solving this quadratic equation, we find two roots:
s = -25 + 5√7i and s = -25 - 5√7i
The time response of the system can be expressed as:
u(t) = A*e^(-25t)*cos(5√7t) + B*e^(-25t)*sin(5√7t)
where A and B are constants determined by the initial conditions.
2. Laplace transform method:
Taking the Laplace transform of the given differential equation, we get:
s^2U(s) + (L/R)sU(s) + (1/LC)U(s) = (1/LC)*24/s
Now, solving for U(s), we have:
U(s) = 24/(s^2 + (L/R)s + (1/LC))
Using partial fraction decomposition, we can express U(s) as:
U(s) = A/(s - (-25 + 5√7i)) + B/(s - (-25 - 5√7i))
Taking the inverse Laplace transform of U(s),
we get the time response of the system as:
u(t) = A*e^(-25t)*cos(5√7t) + B*e^(-25t)*sin(5√7t)
Again, A and B are constants determined by the initial conditions.
So, the time response of the system is given by the equation:
u(t) = A*e^(-25t)*cos(5√7t) + B*e^(-25t)*sin(5√7t)
where A and B are constants determined by the initial conditions.
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sqrt(cos(x))*cos(300x)+sqrt(abs(x))-0.7)*(4-x*x)^0.01, sqrt(6-x^2), -sqrt(6-x^2) from -4.5 to 4.5
The graph of the above expression is attached accordingly.
What is the explanation for the above function?
The given function is a combination of three equations defined over the range -4.5 to 4.5.
The first equation is a complex expression involving trigonometric and algebraic functions. The expression is of the form (√(cos(x)) * cos(300x) + √(abs(x)) - 0.7) * (4 - x^2)^0.01.
The second and third equations are simpler, defined as √(6 - x^2) and -√(6 - x^2) respectively. The function produces a 2D plot, where the first equation generates a complex curve with rapid oscillations due to the multiplication of cosines, while the second and third equations generate semi-circles centered at the origin.
The function is interesting due to the complex equation that generates a visually intriguing plot, especially for smaller values of x.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
What is the graph of the expression?
sqrt(cos(x))*cos(300x)+sqrt(abs(x))-0.7)*(4-x*x)^0.01, sqrt(6-x^2), -sqrt(6-x^2) from -4.5 to 4.5
I need a answer fast thanks!
Simply plug the given values into the equation to solve for the missing data in the table:
We know that x = -6. This means:
y = (-2/3)(6) + 7 = -4 + 7 = 3
We know that y = 5. This means:
5 = (-2/3)(x) + 7
5 - 7 = (-2/3)x
-2(-3/2) = x
3 = x
We know that x = 15. This means:
y = (-2/3)(15) + 7 = -10 + 7 = -3
We know that y = 15. This means:
15 = (-2/3)(x) + 7
15 - 7 = (-2/3)(x)
8(-3/2) = x
-12 = x
Find x this is geometry btw
Answer:
C i think omg let me go please
Answer:
c Is the answer 15
Step-by-step explanation:
If f(x, y) fx(2, 3) = fy(2, 3) = 36 - 6x² – y², find f、(2, 3) and f,(2, 3). Illustrate with either hand drawn sketches or computer plots.
With these values, the gradient vector of f at (2,3) can be found by putting x=2 and y=3 in the formula of gradient vector which is: [-12, -6]
If f(x,y)
fx(2,3) = fy(2,3) = 36 - 6x² - y²,
then the function of f can be written as
f(x,y) = 36 - 6x² - y².
Now, f(2,3) means we need to find the value of f when x=2 and y=3.
Therefore,
f(2,3) = 36 - 6(2)² - 3²= 36 - 6(4) - 9 = 3f(x,y)
and f(x,y) are given by the formula
f(x,y) = 36 - 6x² - y².
As per the question,
fx(2,3) = fy(2,3) = 36 - 6x² - y²fx(2,3)
means we need to find the partial derivative of f with respect to x when x=2 and y=3.
So, f,x(2,3) = -12fy(2,3) means we need to find the partial derivative of f with respect to y when x=2 and y=3.
Therefore, f,y(2,3) = -6
With these values, the gradient vector of f at (2,3) can be found by putting x=2 and y=3 in the formula of gradient vector which is:
grad f(2,3) = [f,x(2,3), f,y(2,3)] = [-12, -6]
Now, a hand-drawn sketch of the surface f(x,y) can be given as:
Alternatively, a computer plot can also be used to represent the surface f(x,y).
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3 less than 2 times a number is 10
Answer: 2x-3=10
(x=the number)
Find (f∘g)(0).
f(x)=6x+1
g(x)=3x
(f∘g)(0)=
Answer:
0630 is the only thing I can come up with.
Questions are from: Gerald and Wheatly, Applied Numerical Analysis 1) 10. A sky diver jumps from a plane, and during the time before the parachute opens, the air resistance is propor- tional to the power of the diver's velocity. If it is known that the maximum rate of fall under these condi- tions is 80 mph, determine the diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2. Neglect horizontal drift and assume an initial velocity of zero.
The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.
Given data: Initial velocity, u = 0 ft/sec
Acceleration, a = g = 32.2 ft/sec²
The maximum rate of fall, vmax = 80 mph
Time, t = 2 seconds
Air resistance constant, Ar = 0.2
We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.
The governing equation for the velocity of the skydiver is given by the following:
ma = -m * g + k * v²
where, m = mass of the skydive
r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.
The equation can be written as,
v' = -g + (k / m) * v²
Here, v' = dv/dt = acceleration
Hence, the modified Euler's formula for the velocity can be written as
v1 = v0 + h * v'0.5 * (v'0 + v'1)
where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²
As the initial velocity of the skydiver is zero, we can write
v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))
v1 = 62.732 mph
Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.
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Hello, may I ask? uh, what is the formula for finding the mark up rate? original price and mark up price is given.. thank you!
Step-by-step explanation:
Let original price is C and mark up price is M.
The rate would be the percent change:
r = (M - C)/C*100%