At Shimla, the temperature was -14°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Shimla on Tuesday?

Given:

Equation of circle is

Answer:

   811

Step-by-step explanation:

The place values of digits in base-3 are all powers of 3. The numbers 1, 3, 4, 9 written in base-3 are ...

  1

  10

  11

  100

You will recognize these as successive numbers in base 2. Then the 81st number of interest is written in base-3 the way 81 is written in base-2:

  101 0001

It will be the sum 3^6 +3^4 +3^0 = 729 +81 +1 = 811

The 81st number is 811.

Answer:

14.49

Step-by-step explanation:

14 * 0.035 = 0.49

14 + 0.49 = 14.49

Answer:

true proportion

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

hope it helps ya.

Can you give me brainliest? please?.ت︎

Answer:

1: x

A variable is a letter in an equation that represents an unknown value or a value that can change.

2: 2

A coefficient for a variable is the leading number in front of the variable. It tells you how many times the variable happens

3: 2x

A term is a multiplication or division statement separated by a +/- sign.

Hope that helps

Answer:

y=-3/4x+6

Step-by-step explanation:

12x+16y=96

16y=-12x+96

4y=-3x+24

y=-3/4x+6

Answer:

3

Step-by-step explanation:

the answer is 3 if you check very well

Answer: 3

Step-by-step explanation: The Answer is 3 if you check very well

The segment FG is reflected by the rule (x, y) → (-x, y). Hence, option C is the correct answer.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century. In geometry, object transformations constitute the foundation for the majority of proofs. Transformations allow us to change any image in a coordinate plane. The rules of transformations can be utilised to better understand the images used in video games.

The transformation, or f: X X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation.

FG has points at F(-6, -3) and G(-3, 6), and F'(6, -3) and G'(3, 6).

It is reflected by the rule (x, y) → (-x, y).

Hence, option C is the correct answer.

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In a Rhombus the diagonals intersect and divides it in two equal halves.

Therefore LP = 28/2

LP = 14cm

Answered by GauthMath if you like please click thanks and comment thanks

Answer:

Answer: 14 cm

Step-by-step explanation:

E2020

Answer:

here man let me is 1 im sure the answer is =((1))

Step-by-step explanation:

6^(-3 * 10^(-10 * 27 * 25 / 5^(-8 * 3^(4 * 2^-3))))

If the defendeant is guilty, the probability that the jury makes the correct decision is approximately 0.476.

To calculate the probability that the jury makes the correct decision, we need to consider two cases: the defendant is guilty and the defendant is not guilty.

Let's start with the case where the defendant is guilty. The probability that any individual juror makes the correct decision on the defendant is 0.80. Therefore, the probability that at least 10 out of 12 jurors make the correct decision is given by the binomial distribution:

P(at least 10 out of 12 jurors say "guilty") = sum of P(k jurors say "guilty") for k = 10, 11, 12

Using a binomial calculator or formula, we can find that this probability is approximately 0.952.

Now let's consider the case where the defendant is not guilty. In this case, the probability that any individual juror makes the correct decision is 0.20 (since they should say "not guilty"). Therefore, the probability that at least 10 out of 12 jurors say "guilty" when the defendant is actually not guilty is given by the same binomial distribution:

P(at least 10 out of 12 jurors say "guilty" | defendant is not guilty) = sum of P(k jurors say "guilty") for k = 10, 11, 12

Using the binomial formula, we can find that this probability is approximately 0.0003.

To find the probability that the jury makes the correct decision, we need to weigh the two cases by their respective probabilities:

P(correct decision) = P(defendant is guilty) * P(at least 10 out of 12 jurors say "guilty") + P(defendant is not guilty) * P(at least 10 out of 12 jurors say "guilty" | defendant is not guilty)

Plugging in the values, we get:

P(correct decision) = 0.5 * 0.952 + 0.5 * 0.0003 = 0.476

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Answer:

\(f(x)=\displaystyle \frac{6}{x}=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)

Step-by-step explanation:

Recall the formula for Taylor Series:

\(\displaystyle f(x)=f(c)+f'(c)(x-c)+\frac{f''(c)(x-c)^2}{2!}+\frac{f'''(c)(x-c)^3}{3!}+...+\frac{f^n(c)(x-c)^n}{n!}=\sum^\infty_{n=0}\frac{f^n(c)}{n!}(x-c)^n\)

Determine the derivative function fⁿ(c):

\(\displaystyle f(c)=\frac{6}{c}=\frac{6}{1}=6\\ \\f'(c)=-\frac{6}{c^2}=-\frac{6}{1^2}=-6\\ \\f''(c)=\frac{12}{c^3}=\frac{12}{1^3}=12\\\\f'''(c)=-\frac{36}{x^4}=-\frac{36}{1^4}=-36\\\\....\\\\f^n(c)=6(-1)^{n}n!\)

Therefore, the infinite series can be written as:

\(\displaystyle f(x)=\frac{6}{x}=\sum^\infty_{n=0}\frac{6(-1)^nn!}{n!}(x-1)^n=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)

Answer:

Step-by-step explanation:

Given the following system of equations:

By the substitution method, substitute (2) into equation (1):

a. The function is not strictly convex.Now, let's check the homotheticity of the function. A function is homothetic if it is continuous, quasiconcave and there exists a positive function, v(x1), such that u(x)=v(x1)f(x2).  b. We can say that the function is homothetic.

We are also given the values of L, X and the utility function. The values are\(L=2,X=(−[infinity],[infinity])×R +​,\)≿ is represented by the utility function\(u(x)=x 1​+ln(1+x 2​).\)

Let's solve this.

Suppose the utility function u(x) is represented as:

\(u(x)=x 1​+ln(1+x 2​)\)

We can see that the utility function is quasilinear. It has a linear component in x1 and a quasi-linear component in x2.

Therefore, we can say that the utility function is quasilinear.Now, let's check the convexity of the utility function. We will find the Hessian matrix and check its properties. The Hessian matrix is given by: H = [0 0; 0 1/(1+x2)^2]The determinant of \(H is 0(1/(1+x2)^2)-0(0) = 0\), which is neither positive nor negative.

Hence, the Hessian matrix is neither positive definite nor negative definite.

Therefore, we cannot determine whether the function is convex or concave.

However, we can check the strict convexity of the function by checking if the Hessian matrix is positive definite or not. The eigenvalues of the Hessian matrix are 0 and \(1/(1+x2)^2\), which are non-negative.

Hence, the Hessian matrix is positive semi-definite.

Therefore, the function is not strictly convex.Now, let's check the homotheticity of the function. A function is homothetic if it is continuous, quasiconcave and there exists a positive function, v(x1), such that \(u(x)=v(x1)f(x2)\)

If we take \(v(x1) = x1, then u(x)=x1(1+ln(1+x2)) = x1ln(e^(1+x2)) = ln(e^(1+x2)^x1)\)

Therefore, we can say that the function is homothetic.

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Answer:

$82.50

Step-by-step explanation:

Given that the unit rate is $13.75 per hour,

1 hour -----> $13.75

6 hours -----> $13.75 x 6 = $82.50

A.  These equations will give us the optimal values of x and y.

B. (b) To determine which exam you would be better prepared for, we compare the Math_grade and Physics_grade using the optimal values obtained in part (a).

C. We can follow the same steps as in part (a) to set up the equations and find the optimal number of hours spent studying for the two exams.

D. the specific impact would depend on the magnitude of the increase and how it interacts with the other variables and constraints in the problem.

(a) Let's define the variables:

Let x represent the number of hours spent studying math.

Let y represent the number of hours spent studying physics.

We want to maximize the average grade, which is proportional to the product of the hours spent studying and the ability to absorb the material.

The math grade is proportional to x * (1 - 0.04x) * (1 - 0.02y)

The physics grade is proportional to y * (1 - 0.03y) * (1 - 0.05x)

We want to maximize the average grade:

Average grade = (math grade + physics grade) / 2

Now, let's set up the optimization problem:

Maximize: (x * (1 - 0.04x) * (1 - 0.02y) + y * (1 - 0.03y) * (1 - 0.05x)) / 2

Subject to:

0 ≤ x ≤ 24 (maximum hours per day)

0 ≤ y ≤ 24 (maximum hours per day)

To solve this optimization problem, we can use calculus or numerical optimization methods.

(b) To determine which exam you would be better prepared for, calculate the average grade for the optimal number of hours obtained in part (a). Compare the average grade of math and physics to determine which one is higher.

(c) Now, assuming the exam scores improve by an additional 10% for every hour not studying, we need to modify the objective function in the optimization problem. Let's redefine the variables:

Let x represent the number of hours spent studying math.

Let y represent the number of hours spent studying physics.

Let z represent the number of hours not spent studying (24 - x - y).

The math grade is proportional to x * (1 - 0.04x) * (1 - 0.02y)

The physics grade is proportional to y * (1 - 0.03y) * (1 - 0.05x)

The additional benefit is 10% * z.

The new objective function to maximize the average grade is:

(x * (1 - 0.04x) * (1 - 0.02y) + y * (1 - 0.03y) * (1 - 0.05x) + 0.1 * z) / 2

Subject to:

0 ≤ x ≤ 24 (maximum hours per day)

0 ≤ y ≤ 24 (maximum hours per day)

z = 24 - x - y

(d) To examine the sensitivity of the answer to the additional 10% benefit from not studying, you can perform sensitivity analysis by changing the percentage value and observing the effect on the average grade. Increasing the effect of this benefit would likely result in a higher average grade as more emphasis is placed on the additional benefit gained from not studying. However, the exact impact would depend on the specific values used and the relationships between the variables and grades.

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The distance from Gladville to Columbus is 144 miles.

The scale of map B is (3.4 cm) / (6.8 cm) = 1/2 that of map A.

Then the distance (d) between the cities is:

= (1.8 cm)/d = (1/2)·(1 cm) / (40 mi)

Multiplying by d·80 mi, we get

 144 mi·cm = d cm

Dividing by cm, we have ...

 144 mi = d

The distance from Gladville to Columbus is 144 miles.

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The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.

Given that,

For each test score in the data set, the percentile rank is determined. 12, 28, 35, 42, 47, 49,  

We have to find what number represents the 60% of the population.

We know that,

So,

Percentile rank =[(Number of values below x)+0.5]/ total number of values × 100

For 12,

Percentile rank = [0 +0.5]/7×100

= 7th

For 28,

Percentile rank = [1 +0.5]/7×100

= 21st

For 35,

Percentile rank = [2 +0.5]/7×100

= 36th

For 42,

Percentile rank = [3 +0.5]/7×100

= 50th

For 47,

Percentile rank = [4 +0.5]/7×100

= 64th

For 49,

Percentile rank = [5 +0.5]/7×100

= 79th

For 50,

Percentile rank = [6 +0.5]/7×100

= 93rd

Now,

n = 7

60th percentile = 60% of n

So,

60% of n = 60/100×7

= 0.6×7

= 4.2

Therefore, The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.

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Answer:

Its called an Unknown number, a variable, and a letter.

Step-by-step explanation:

Top 2 answers came from algebra and then last came from preschool....obviously.

Answer:

16m

Step-by-step explanation:

P =2(L+w)

50 = 2(L + 9)

50 = 2L + 18

50 -18 = 2L

32 =2L

L = 16m

Answer:

A=190 CM 2

Step-by-step explanation:

A=1/2[a+b]h

A=1/2[12 + 26] 12

A=190 CM2

Answer:

\(190 {cm}^{2} \)

Step-by-step explanation:

\( \frac{1}{2} \times (a + b) \times h \\ \frac{1}{2} \times (12 + 26) \times 10 \\ \frac{1}{2} \times 38 \times 10 \\ \frac{380}{2} \\ = 190 {cm}^{2} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

The solution to the linear system is x₁ = 0, x₂ = -5/4, and x₃ = 3/2.

We start with the augmented matrix:

[1 2 3 | 2]

[-1 2 5 | 5]

[2 1 3 | 9]

First, we eliminate the variable x₁ from the second and third equations by adding the first equation to them:

[1 2 3 | 2]

[0 4 8 | 7]

[0 -3 -3 | 5]

Next, we eliminate the variable x₂ from the third equation by adding 3/4 times the second equation to it:

[1 2 3 | 2]

[0 4 8 | 7]

[0 0 3 | 18/4]

Now, we have the system in row echelon form. We can perform backward substitution to find the values of the variables. Starting from the last equation, we have:

3x₃ = 18/4 -> x₃ = 18/4 / 3 = 3/2

Substituting this value back into the second equation, we have:

4x₂ + 8(3/2) = 7 -> 4x₂ + 12 = 7 -> x₂ = -5/4

Finally, substituting the values of x₂ and x₃ into the first equation, we have:

x₁ + 2(-5/4) + 3(3/2) = 2 -> x₁ - 5/2 + 9/2 = 2 -> x₁ = 0

Therefore, the solution to the linear system is x₁ = 0, x₂ = -5/4, and x₃ = 3/2.

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Answer:

High income patient = 800

Homeless patient = 1,600

Step-by-step explanation:

Provided,

Profit per homeless patient = $9,900

Profit per high-income patient = $7,900

Maximum beds = 2,400

Since profit is more in case of homeless patients, maximum homeless patients shall be admitted.

Provided homeless patients can be maximum twice of high income patients

If high income patients = \(x\)

Then, homeless patients = \(2x\)

Total patients = 2,400

Now,

\(x + 2x = 2,400\)

\(3x = 2,400\\x = 800\)

This shall mean that high income patient = 800

Homeless patient = \(2 \times 800 = 1,600\)

Profit shall be maximum in this,

As maximum profit per patient is on homeless patient, and homeless patient cannot be more than 1,600 as because of the management decided ratio of high income patient and homeless patient.

Profit in this case,

Homeless patient = \(1,600 \times 9,900 = 15,840,000\)

High income patient = \(800 \times 7,900 = 6,320,000\)

Total profit = $22,160,000

High income patient = 800

Homeless patient = 1,600

Here we assume high income patients  be

So,  homeless patients be 2x

And, Total patients = 2,400

Now,

x + 2x = 2,.400

3x = 2,400

x= 800

so, the homeless patient should be 2(800) = 1,600

Now

Profit in this case,

Homeless patient = 1,600 (9900) = 15,840,000

High income patient = 800 (7,900) = 6,320,000

Total profit = $22,160,000

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Step-by-step explanation:

Point D is the center of dilation.

If you draw lines connecting the pre image and new image corresponding vertices, they will all pass through Point D.

Answer:

Im dumb

Step-by-step explanation:

I can't help

The Laplace transform of the given function is F(s) = 25/(s^5) + 5/(s^4) e^(-s).

To find F(s), we need to take the Laplace transform of the given function. We have:

U(t – 1) = 1/s e^(-s)

Applying the product rule of Laplace transform, we get:

L{5t(5t + 1)U(t – 1)} = L{5t(5t + 1)} * L{U(t – 1)}

Now, we need to find the Laplace transform of 5t(5t + 1). We have:

L{5t(5t + 1)} = 5L{t} * L{5t + 1} = 5(1/s^2) * (5/s + 1/s^2)

Simplifying the expression, we get:

L{5t(5t + 1)} = 25/(s^4) + 5/(s^3)

Substituting L{5t(5t + 1)} and L{U(t – 1)} back into the original equation, we get:

F(s) = (25/s^4 + 5/s^3) * (1/s e^(-s))

Simplifying the expression further, we get:

F(s) = 25/(s^5) + 5/(s^4) e^(-s)

Therefore, the Laplace transform of the given function is F(s) = 25/(s^5) + 5/(s^4) e^(-s).

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9514 1404 393

Answer:

  C, B, D

Step-by-step explanation:

We can estimate the relative lengths of the segments using the difference of their coordinates:

  BC = (2-0, -5-6) = (2, -11)

  CD = (-8-2, -1-(-5)) = (-10, 4)

  DB = (0-(-8), 6-(-1)) = (8, 7)

Then the lengths of the segments will be ...

  BC = √(2^2 +11^2) = √125

  CD = √(10^2 +4^2) = √116

  DB = √(8^2 +7^2) = √113

DB is the shortest segment, so opposite the smallest angle, C.

The next-shortest segment is CD, opposite angle B.

The longest segment is BC, opposite angle D.

In order from least measure to greatest, the angles are C, B, D.

Answer:

15/40 or simplified 3/8

Step-by-step explanation:

The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

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