it’s really sad when u help someone but they don’t help y’all back... so pls just once helppp pleaseee :(

Answer:

4 each 2 left

Step-by-step explanation:

6×4 is 24 so 2 left bc u take 10 away from the 36 so 26 divided between 6 ppl is 4 each 2 left

The number a(t) of grams of salt in the tank at time t is 200-170e^-1/50t

Let the amount of salt be A(t). Then,

A'(t)=Rate of salt coming in-Rate of salt going out

      = 4 - A(t)/50

,Then

A(t)/50 + A'(t) =4

We know that the linear differential equation: y+ay = g(x) has solution in the form of

e^dx y= ∫e^ax g(x)dx + C.

Here, a= 1/50 ,g(x)=4.

So, the solution is,

e^1/50t A(t) = ∫e^1/50t (4) dt +C

                   =4∫e^1/50t dt +C

By solving,

                  = 200+Ce^1/50t

Plug in the initial condition: A(0)=30 in the above differential equation.

200+Ce^1/50(0) = 30 =-170

200+C-30

C=30-200

  =-170

Thus, the number A(t) of grams of salt in the tank at time t is,

A(t)=200-170e^-1/50t

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Similar Triangles

Similar triangles can be identified because their corresponding side lengths are in the same proportion.

The image shows a situation where Joseph, the mirror, and the tree form two similar triangles, assuming the angle of elevation from the mirror is the same in both directions, as shown.

This means the proportions of the heights of the tree and Joseph have the same ratio as their distances to the mirror, that is:

Multiplying by 5.75:

x = 5.75*6 = 34.5

The tree is 34.5 feet tall

The absolute inequality will be x ≥ | 8.9 ± 0.15 |mm and the compound inequality will be x > 8.75, x< 9.05.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that the length is 8.9 mm with a tolerance of 0.15mm.

The absolute inequality will be written as below:-

x ≥ | 8.9 ± 0.15 |mm

The compound inequality will be written as:-

x  > 8.75,

x < 9.05.

Therefore, the absolute inequality will be x ≥ | 8.9 ± 0.15 |mm and the compound inequality will be x > 8.75, x< 9.05.

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Answer:

Cost of each cord = $7.5

Step-by-step explanation:

Given:

Discount rate = 30% = 0.30

Amount save by Lisa = $9

Number of charger = 4

Find:

Cost of each cord

Computation:

Total cost of 4 charger =  Amount save by Lisa[1/Discount rate]

Total cost of 4 charger =  9[1/0.30]

Total cost of 4 charger =  $30

Cost of each cord = Total cost of 4 charger / Number of charger

Cost of each cord = $30 / 4

Cost of each cord = $7.5

The following statements are true:

The general least-squares problem is to find an x that makes Ax as close as possible to b.

If b is in the column space of A, then every solution of Ax = b is a least-squares solution.

Any solution of \(A^TAX = A^Tb\) is a least-squares solution of Ax = b.

What is matrix?

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used in many areas of mathematics, including linear algebra, calculus, and statistics.

The first statement is false. A least-squares solution of Ax = b is a vector x that minimizes the Euclidean norm ||b - Ax||, not necessarily making it smaller than any other norm.

The second statement is true. If b is in the column space of A, then Ax = b has at least one solution, and any solution is also a least-squares solution.

The third statement is true. Any solution of \(A^TAX = A^Tb\) can be written as \(x = (A^TA)^{-1}A^Tb\), and it is a least-squares solution of Ax = b because \((A^TA)^{-1}A^T\) is the left-inverse of A (if A has full column rank), and \((A^TA)^{-1}A^Tb\) is the projection of b onto the column space of A.

The fourth statement is false. A solution of \(A^TAX = A^Tb\) is not necessarily a solution of Ax = b, so it cannot be a least-squares solution of Ax = b.

The fifth statement is false. A least-squares solution of Ax = b is a vector x that satisfies the normal equation \(A^TA x = A^Tb\), not necessarily Ax = b. Moreover, x is the orthogonal projection of b onto Col A only if A has full column rank, in which case the projection matrix is \(A(A^TA)^{-1}A^T.\)

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Complete question : let a be an m x n matrix and b be a vector in rm. which of the following is/are true? (select all that apply)

A least-squares solution of Ax = b is a vector such that ||b - Ax|| ≤ b - Ax|| for all x in Rº.

The general least-squares problem is to find an x that makes Ax as close as possible to b.

If b is in the column space of A, then every solution of Ax = b is a least-squares solution.

Any solution of\(A^TAX = A^Tb\) is a least-squares solution of Ax = b.

A least-squares solution of Ax = b is a vector x that satisfies Ax = b, where is the orthogonal projection of b onto Col A.

\(\Huge \boxed{\mathfrak {ANSWER }}\)

\(\large \boldsymbol {} \displaystyle \frac{1}{5-\sqrt{2} } \cdot \frac{5+\sqrt{2} }{5+\sqrt{2} } =\frac{5+\sqrt{2} }{(5)^2-(\sqrt{2)}^2 } =\boxed{\frac{5+\sqrt{2} }{23} }\)

Answer:

see explanation

Step-by-step explanation:

The solution to the equations is at the point of intersection of the 2 lines.

If the system has no solution, this indicates the lines do not intersect and therefore must be parallel.

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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Answer:

30

Step-by-step explanation:

15cm for 5

5 x 2=10

15 x 2 = 30

The indifference curve associated with the utility function u(x₁, x₂) = 4x₁x₂ is represented by x₂ = 4x₁.

To derive the indifference curve, we need to find the relationship between x₁ and x₂ that satisfies the given utility function u(x₁, x₂) = 4x₁x₂.

The utility function implies that the level of satisfaction (utility) is determined by the product of x₁ and x₂, with a constant coefficient of 4. This means that as long as the product x₁x₂ remains constant, the utility remains the same.

To find the indifference curve, we set the utility function equal to a constant, let's say k: 4x₁x₂ = k.

By rearranging the equation, we can express x₂ in terms of x₁: x₂ = k/(4x₁).

Now, substituting a specific value for k, let's say k = 4, we have x₂ = 4/(4x₁) = 1/x₁.

Therefore, the indifference curve associated with the given utility function is x₂ = 1/x₁.

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a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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The width of the round cake needs to be approximately 2 times the radius, or about 15.6 inches, to have the same volume as the rectangular prism cake.

A three-dimensional structure with six rectangular faces that are parallel and congruent together is called a rectangular prism. It has a length, width, and height. By multiplying the length, width, and height together, one may get the volume. Contrarily, a cylinder is a three-dimensional shape with two congruent and parallel circular bases. It has a height and a radius, and you can determine its volume by dividing the base's surface area by the object's height. A cylinder has curved edges and no corners while a rectangular prism has straight edges and corners.

The volume of the rectangular cake is given as:

V = length * width * height

Substituting the values we have:

16 * 12 * 3 = 576 cubic inches

Now, for the cylindrical cake to be of the same volume we have:

V = π * radius² * height

π * radius² * 3 = 576

(3.14) * radius² * 3 = 576

radius = 15.6 inches

Hence, the width of the round cake needs to be approximately 2 times the radius, or about 15.6 inches, to have the same volume as the rectangular prism cake.

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To find the equilibrium price and quantity, we need to set the quantity supplied equal to the quantity demanded and solve for the price.

Given:
Q = 200 + 3P (quantity supplied)
Qd = 400 - P (quantity demanded)

Step 1: Set Q = Qd
200 + 3P = 400 - P

Step 2: Solve for P
4P = 200
P = 50

Step 3: Substitute P = 50 back into the equations to find the equilibrium quantity.
Q = 200 + 3(50)
Q = 350

Therefore, the equilibrium price is $50 and the equilibrium quantity is 350.

Now, let's consider the case with a tax on buyers.

Given:
Q° = 400 - (2P + T) (quantity demanded after tax)

Step 1: Set Q° = Q (quantity demanded after tax = quantity supplied)
400 - (2P + T) = 200 + 3P

Step 2: Solve for P
5P + T = 200

Step 3: Substitute T = 20 into the equation and solve for P
5P + 20 = 200
5P = 180
P = 36

Step 4: Substitute P = 36 back into the equations to find the new equilibrium quantity.
Q = 200 + 3(36)
Q = 308

Therefore, the new equilibrium price is $36 and the new equilibrium quantity is 308.

The original equilibrium price and quantity are $50 and 350 respectively. After the tax is placed on buyers, the new equilibrium price and quantity become $36 and 308 respectively.

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If you mean axis then the answer is that the coordinate on the y axis stays the same but the coordinate on the x axis is the opposite.

For example, if the number on the y axis on quadrant 1 is 4 then if it's reflected onto quadrant two, the number will stay the same but if the number on the x axis is 4 then if it's reflected onto quadrant two, the number will be -4

The graph of the exponential function is on the image at the end.

Here we want to graph the function:

f(x) = 0.5*(4)ˣ

To graph this (or any function) we can find some points on the function, and to do so, we need to evaluate it.

when x = 0:

f(0) =   0.5*(4)⁰ = 0.5

Then the point is (0, 0.5)

when x = 1

f(1) =   0.5*(4)¹ = 2

So we have the point (1, 2)

if x = 2

f(2) =   0.5*(4)² = 8

So we have the point (2, 8)

Now we can graph these points and connect them with a general exponential curve.

The graph of the exponential function is shown below.

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The number of miles that Taylor needs to drive more is = 100miles.

The number of miles they need to travel = 900 miles

Number of mile traveled on the first day = 418 miles

Number of mile traveled on the second day = 382 miles

Therefore, total number of miles for first and second day

= 418 + 382

= 800 miles

Therefore the number of miles they need to travel more

= 900 - 800

= 100miles

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Answer:

2 to the power of six times 3 cubed times seven.

Step-by-step explanation:

The prime factors of 56 are 2 cubed times 7 and the prime factors of 18 are 2 times 3 squared The prime factors of 12 are 2 squared times 3.

A factor is a number that divides another number, leaving no remainder

The highest common factor of 18, 12, and 56 using prime factors is 2.

A factor is a number that divides another number, leaving no remainder

Example: 12 = 4 x 3 where 4 and 3 are the factors of 12.

We have,

18, 12, and 56

The factors of each number are:

18 = 2 x 9, 3 x 6, 18 x 1

So the factors of 18 are 2, 3, 6, 9, and 18.

12 = 2 x 6, 3 x 4, 12 x 1

So the factors of 12 are 2, 3, 4, 6, and 12.

56 = 2 x 28, 4 x 14, 7 x 8, 14 x 4

So the factors of 56 are 2, 4, 7, 8, 14, and 28.

Thus,

The highest common factor of 18, 12, and 56 using prime factors is 2.

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Answer:

58

Step-by-step explanation:

error: 64+2p = 180.  he missed 1 p.

so 2p =180-64

p = 58

Answer:

42.24 in

Step-by-step explanation:

The formula for area is 1/2bh

1/2 x 8.8 x 9.6

use calculator

=42.24

Have a great day!

Answer:

The answer is 42.24

Answer:

I believe it has 9 edges, comment if u need me to explain more

Answer:

6

Hope it helps!

Answer:

Step-by-step explanation:

If one angle of a parallelogram is a right angle, then it is a rectangle.

Answer:

The height of the window is 150 centimeters.

Step-by-step explanation:

Use ratio and proportion to find the height of the window.

\(\frac{h}{60cm} = \frac{210cm}{84cm}\)

Cross multiply

\(h = \frac{210cm(60cm)}{84cm} \\h = \frac{12600cm^2}{84cm} \\h = 150 cm\)

Answer:

49

Step-by-step explanation:

side 1 = |18-3|= 15

side 2 = |12-3| = 9

side 3 = |16-4| = 12

side 4: \(\sqrt{(18-12)^2 + (4-16)^2} \\ \sqrt{36+144} \\ = \sqrt{180} \\ = 13,4\)

perimeter = 15 + 9 + 12 + 13,4= 49,4 = 49

The price of a single chicken is $8 and the price of a single duck is $5.

The prices can be determined by forming the linear equation in two variables.

Given that,

Michael sold last month, 50 chickens and 30 ducks for $550.

This month, he sold 44 chickens and 36 ducks for $532.

Let the price of single chicken be 'a' and the price of a single duck be 'b'. Then the linear equation will be:

50a+30b=550 ____________(1)

44a+36b=532 ____________(2)

Solving equation (1) for the value of 'b'.

b=550-50a/30

b=55/3 - 5a/3  ____________(3)

Putting the value of 'b' in equation (2).

44a+36(55/3 - 5a/3) = 532

128 = 16a

a=8

Putting the value of a in equation (3).

b= 55/3 - 5*8/3

b=5

Thus, The price of a single chicken is $8 and the price of a single duck is $5.

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Michael sold last month, 50 chickens and 30 ducks for $550.

This month, he sold 44 chickens and 36 ducks for $532.

50a+30b=550

44a+36b=532

Solving equation (1) for the value of 'b'.

b=550-50a/30

b=55/3 - 5a/3

Putting the value of 'b'

44a+36(55/3 - 5a/3) = 532

128 = 16a

a=8

Putting the value of a

b= 55/3 - 5*8/3

b=5

Thus, The price of a single chicken is $8 and the price of a single duck is $5.

The correct answer is C. The Mode.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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Theprobability of the employee arriving between 8:30 a.m. and 8:35 a.m. is 0.5 or 1/2.

The probability that the employee will arrive between 8:30 a.m. and 8:35 a.m. has to be determined. The given data is that the particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m.

Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m.To find the probability that the employee will arrive between 8:30 a.m. and 8:35 a.m.

Using the above data, the probability that the employee will arrive between 8:00 a.m. and 8:50 a.m. is one. Therefore, the probability that the employee will arrive between 8:00 a.m. and 8:30 a.m. is 0.5, and the probability that the employee will arrive between 8:35 a.m. and 8:50 a.m. is 0.5.

The probability that the employee will arrive between 8:30 a.m. and 8:35 a.m. is also equally likely, so its probability is 0.5.

Therefore, the probability that the employee will arrive between 8:30 a.m. and 8:35 a.m. is 0.5 or 0.5 or 1/2.

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