There was 1/3 of a box of cereal left four brothers shared it evenly write an equation to represent this problem

Answer:

19/15 is the answer

Answer:

4/45

Step-by-step explanation:

8 - 4

9   5

=  8 × 5 - 4 × 9

       9 × 5   5 × 9

=  40 - 36

       45   45

=  40 – 36

            45

=  4

      45

8/9 - 4/5

= 4/45

A field variant changes value with space or time transformation while an invariant field remains the same.

Field variant and invariant are terms used in mathematics and physics to describe how certain quantities or properties change or remain constant within a specific context.

A field variant is a quantity or property that changes when the system's parameters, such as location or time, are altered. For example, the temperature in a room may vary from one point to another, so it would be considered a field variant. In physics, electric and magnetic fields are often considered field variants, as their strength and direction can change depending on the observer's position.

On the other hand, a field invariant is a quantity or property that remains constant regardless of the system's parameters. In mathematics, a scalar quantity is often invariant, such as the length of a vector or the magnitude of a force. In physics, an example of a field invariant is the speed of light in a vacuum, which remains constant at approximately 299,792 kilometers per second, irrespective of the observer's position or motion.

In summary, field variants are properties that change with respect to a specific context, while field invariants remain constant. Understanding these concepts is essential for solving problems in mathematics, physics, and various scientific fields.

Learn more about parameters here: https://brainly.com/question/29344078

#SPJ11

When we subtract a velocity vector from another velocity vector, the result is B. another velocity.

When we subtract a velocity vector from another velocity vector, we are essentially finding the difference between the two velocities. This difference is also a velocity vector, but in a different direction and with a different magnitude. Therefore, the answer is another velocity, option B.

It is important to note that acceleration is a change in velocity, not the result of subtracting one velocity from another. Scalar refers to a quantity with only magnitude, whereas velocity is a vector quantity with both magnitude and direction. Displacement refers to the change in position of an object and is not directly related to subtracting velocity vectors.

To know more about velocity visit:

https://brainly.com/question/14534415

#SPJ11

The solutions for given vectors are: (a) 7i - 5j - 5k, (b) sqrt(6), (c) -1, (d) 7i - 7j - 7k, (e) 17, (f) -7i - 13j + 7k, (g) 91 degrees.

(a) 2u + 3v = 2(i + j - 2k) + 3(3i - 2j + k) = (2+9)i + (2-6)j + (-4+3)k = 11i - 4j - k

(b) |u| = sqrt(i^2 + j^2 + (-2k)^2) = sqrt(1+1+4) = sqrt(6)

(c) u · v = (i + j - 2k) · (3i - 2j + k) = 3i^2 - 2ij + ik + 3ij - 2j^2 - jk - 6k = 3 - 2j - 2k

(d) u × v = det(i j k; 1 1 -2; 3 -2 1) = i(2-5) - j(1+6) + k(-2+9) = -3i - 7j + 7k

(e) |v × w| = |(-2i - 16j - 13k)| = sqrt((-2)^2 + (-16)^2 + (-13)^2) = sqrt(484) = 22

(f) u · (v × w) = (i + j - 2k) · (-2i - 16j - 13k) = -2i^2 - 16ij - 13ik + 2ij + 16j^2 - 26jk - 4k = -2 - 10k

(g) The angle between u and v can be found using the dot product formula: cos(theta) = (u · v) / (|u||v|). Plugging in the values from parts (c) and (b), we get cos(theta) = (-1/3) / (sqrt(6) * sqrt(14)). Using a calculator, we find that theta is approximately 110 degrees.

To know more about vectors,

https://brainly.com/question/31737683

#SPJ11

The maximum wage that this perfectly competitive firm should pay to hire this worker = $80

The options for this question

A) $80 minus the firm's profit markup

B) It depends on what the going wage rate is in the labor market.

C) $80

D) There is insufficient information to answer the question.

now, we need to find the maximum wage that this perfectly competitive firm should pay to hire this worker

given that

the additional worker can produce an additional 20 units of output and that can be sold for$4 per unit

maximum wage = additional units × sold per unit

                          = 20 × 4 = 80

the maximum wage = $80

To learn more about output:

https://brainly.com/question/20459166

#SPJ4

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

for more such question on intended visit

https://brainly.com/question/31252264

#SPJ8

(a) Yes, the air in the house would exceed the long-term health standard if the groundwater is in equilibrium with the air in the house.

(b) The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT).

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm.

(a) The Henry's Law constant for TCE is 0.4, which means that the concentration of TCE in air at equilibrium with water is 40% of the concentration in water. The groundwater concentration is 110 ppm, so the equilibrium air concentration would be 44 ppm. This exceeds the long-term health standard of 25 ppm.

(b) The flux of TCE through the floor is given by FT = k(c+ - CT), where k is a measured constant, c+ is the concentration of TCE in the groundwater, and CT is the concentration of TCE in the air in the house. The normal strategy for remediating vapor intrusion is to install fans in the house that ventilate the house with outside air. The outside ambient air has a concentration of ca. The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT), where dct/dt is the rate of change of the concentration of TCE in the house, k is the flux constant, c+ is the concentration of TCE in the groundwater, CT is the concentration of TCE in the air in the house, Q is the ventilation rate, and ca is the concentration of TCE in the outside air.

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q, where Ah is the area of the house, k is the flux constant, and Q is the ventilation rate. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm. The difference is due to the fact that the groundwater concentration is much higher than the ambient air concentration.

Learn more about equilibrium here: brainly.com/question/30694482

#SPJ11

The equation of the parallel line to y = 2x - 1, that passes through (-3, 1) is: y = 2x + 7.

Two lines that are parallel to each other would always have the same slope (m). In the slope-intercept form of the equation that represents a line, y = mx + b, the slope of the line is represented as "m", while the y-intercept is represented as b.

Given:

A point (-3, 1)

Equation, y = 2x - 1. The slope (m) = 2. Since parallel lines have the same slope (m), therefore, the line that passes through (-3, 1) also have a slope (m) = 2.

Substitute (x, y) = (-3, 1) and m = 2 into y = mx + b:

1 = 2(-3) + b

1 = -6 + b

1 + 6 = b

b = 7

To write the equation of the parallel line to y = 2x - 1, substitute m = 2 and b = 7 into y = mx + b:

y = 2x + 7.

Learn more about equation of a line on:

https://brainly.com/question/13763238

#SPJ1

Applying statistical concepts, it is found that the values are:

When a constant is added to each data in a variable:

When a constant is multiplied to each data in a variable:

Hence, mean of 12, added with p and multiplied with q, for a mean of 51:

\((12 + p)q = 51\)

Variance of 84, after the operations, 756:

\(84\sqrt{q} =756\)

\(\sqrt{q} = \frac{756}{84}\)

\(\sqrt{q} = 9\)

\((\sqrt{q})^2 = 9^2\)

\(q = 81\)

For p:

\((12 + p)q = 51\)

\((12 + p)81 = 51\)

\(12 + p = \frac{51}{81}\)

\(12 + p = 0.63\)

\(p = -11.37\)

A similar problem is given at https://brainly.com/question/24097242

Answer:

144

Step-by-step explanation:

225-81 because with pythagorean thorem both sides should equal the C value or the bigger square.

Answer:

1,025cm

Step-by-step explanation:

According to the Pythagoras theorem:

          a^2 + b^2 = c^2

a^2 = (Length of one side of square 3)^2

As, the are of a square = length of one side of the square^2,

then a^2 = area of square 3 = 80cm^2

and b^2 = area of square 2 = 100cm^2

Then, c^2 = a^2 + b^2 = 80 + 100 = 180cm^2

as c^2 ia also equal to the area of square 1,

Area of square 1 = 180cm^2

Answer:665,280

Step-by-step explanation:

Formula for Permutations,

a. Compute the mean and the autocorrelation function Rx (t1, t2):

The mean of a random process X(t) is given by:

\(\[\mu_X = E[X(t)] = E[B \cos (at + \theta)] = 0\]\)

since the expected value of the uniformly distributed random variable θ on (0, 2\pi) is 0.

The autocorrelation function Rx (t1, t2) of X(t) is given by:

\(\[R_X(t_1, t_2) = E[X(t_1)X(t_2)]\]\)

Substituting the expression for X(t) into the autocorrelation function:

\(\[R_X(t_1, t_2) = E[(B \cos(at_1 + \theta))(B \cos(at_2 + \theta))]\]\)

Expanding and applying trigonometric identities:

\(\[R_X(t_1, t_2) = \frac{B^2}{2} \cos(a t_1) \cos(a t_2) + \frac{B^2}{2} \sin(a t_1) \sin(a t_2)\]\)

The autocorrelation function is periodic with period T = \(\frac{2\pi}{a}.\)

b. Is it a wide-sense stationary process?

To determine if the process is wide-sense stationary, we need to check if the mean and autocorrelation function are time-invariant.

As we found earlier, the mean of X(t) is 0, which is constant.

The autocorrelation function depends on the time differences t1 and t2 but not on the absolute values of t1 and t2. Therefore, the autocorrelation function is time-invariant.

Since both the mean and autocorrelation function are time-invariant, the process is wide-sense stationary.

c. Compute the power spectral density Sx(f):

The power spectral density (PSD) of X(t) is the Fourier transform of the autocorrelation function Rx (t1, t2):

\(\[S_X(f) = \int_{-\infty}^{\infty} R_X(t_1, t_2) e^{-j2\pi ft_2} dt_2\]\)

Substituting the expression for the autocorrelation function:

\(\[S_X(f) = \int_{-\infty}^{\infty} \left(\frac{B^2}{2} \cos(a t_1) \cos(a t_2) + \frac{B^2}{2} \sin(a t_1) \sin(a t_2)\right) e^{-j2\pi ft_2} dt_2\]\)

Simplifying the integral:

\(\[S_X(f) = \frac{B^2}{2} \cos(a t_1) \int_{-\infty}^{\infty} \cos(a t_2) e^{-j2\pi ft_2} dt_2 + \frac{B^2}{2} \sin(a t_1) \int_{-\infty}^{\infty} \sin(a t_2) e^{-j2\pi ft_2} dt_2\]\)

Using the Fourier transform properties, we can evaluate the integrals:

\(\[S_X(f) = \frac{B^2}{2} \cos(a t_1) \delta(f - a) + \frac{B^2}{2} \sin(a t_1) \delta(f + a)\]\)

where δ(f) is the Dirac delta function.

d. How much power is contained in X(t)?

The power contained in a random process is given by integrating its power spectral density over all frequencies:

\(\[P_X = \int_{-\infty}^{\infty} S_X(f) df\]\)

Substituting the expression for the power spectral density:

\(\[P_X = \int_{-\infty}^{\infty} \left(\frac{B^2}{2} \cos(a t_1) \delta(f - a) + \frac{B^2}{2} \sin(a t_1) \delta(f + a)\right) df\]\)

Simplifying the integral:

\(\[P_X = \frac{B^2}{2} \cos(a t_1) + \frac{B^2}{2} \sin(a t_1)\]\)

Therefore, the power contained in X(t) is given by:

\(\[P_X = \frac{B^2}{2} (\cos(a t_1) + \sin(a t_1))\]\)

To know more about spectral visit-

brainly.com/question/30880354

#SPJ11

As the firm develops a specific sort of sensor and ships them in boxes of four, each sensor weighed 10 grams at first.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

Let's call the original weight of each sensor "w". The total weight of 4 sensors would be 4w.

With the new design, each sensor weighs 9 grams more, so each sensor weighs w + 9 grams. The total weight of 4 sensors is 76 grams, so we can write an equation:

4(w + 9) = 76

Expanding the left-hand side and solving for w, we have:

4w + 36 = 76

4w = 40

w = 10

So each sensor originally weighed 10 grams as company manufactures a special type of sensor, and packs them in boxes of 4 for shipment.

To know more about equation,

brainly.com/question/2228446

#SPJ4

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

The true statement is (a) The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers.

The given parameters are:

\(Pencils = 2400\) --- the pencils needed

The number of pencils the prism can hold is:

\(Prism =60\)

Divide the number of pencils needed by the number of pencils in 1 rectangular prism, to calculate the number of prisms needed (n1)

\(n_1 = \frac{Pencils}{Prism}\)

So, we have:

\(n_1 = \frac{2400}{60}\)

\(n_1 = 40\)

A rectangular prism costs $0.50.

So, the total cost is:

\(Total\ cost = 40 \times 0.50\)

\(Total\ cost = \$20\)

The number of pencils the cylinder can hold is:

\(Cylinder=80\)

Divide the number of pencils needed by the number of pencils in 1 cylinder box, to calculate the number of cylinders needed (n2)

\(n_2 = \frac{Pencils}{Cylinder}\)

So, we have:

\(n_2 = \frac{2400}{80}\)

\(n_2 = 30\)

A cylinder costs $0.75.

So, the total cost is:

\(Total\ cost = 30 \times 0.75\)

\(Total\ cost = $22.5\)

By comparison, the rectangular prism costs $2.5 less than the cylinder

Hence, the true statement is (a)

Read more about volumes at:

https://brainly.com/question/1908836

Answer:

1.93

Step-by-step explanation:

  1

1.57

0.36

--------

1.93

Answer:

Step-by-step explanation:

Given: ABC is equilateral triangle.

AD = DB   & BE = EC   & CF = FA ------------(IV)

Proof:

  D & F are midpoint of the sides AB and AC

  DF = \(\frac{1}{2}BC\)            {Midpoint theorem}    

DF = BE     ----------------(I)

D & E are midpoint of the sides AB and BC

DE = \(\frac{1}{2}AC\)               {Midpoint theorem}      

DE = FA ----------------(II)

E & F are midpoint of the sides BC and AC

\(EF = \frac{1}{2}AB\)                  {Midpoint theorem}

EF = AD   ---------------(III)

From (I) ; (II) ; (III) ; (IV) ,

DF =  DE = EF

DEF is an  equilateral triangle.

The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

Learn more about operator

https://brainly.com/question/29949119

#SPJ11

The associated z score for filling to 10.98 oz. is -1.16.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean and σ is the standard deviation.

Given that μ = 12.01, σ = 0.89, hence:

For x = 10.98:

z = (10.98 - 12.01)/0.89 = -1.16

The associated z score for filling to 10.98 oz. is -1.16.

Find out more on Z score at: https://brainly.com/question/25638875

The image quadrilateral J'k'L'M' is obtained by dilating quadrilateral JKLM according to the rule DO, where the x-coordinate of each vertex is halved and the y-coordinate is multiplied by 1/2.

A dilation is a transformation that changes the size of a figure while preserving its shape. In this case, the dilation rule DO states that the x-coordinate of each vertex is halved, and the y-coordinate is multiplied by 1/2.

Let's consider the coordinates of the vertices of quadrilateral JKLM: J(x₁, y₁), K(x₂, y₂), L(x₃, y₃), and M(x₄, y₄). Applying the dilation rule, we get the coordinates of the corresponding vertices of quadrilateral J'k'L'M':

J'(1/2x₁, 1/2y₁), k'(1/2x₂, 1/2y₂), L'(1/2x₃, 1/2y₃), and M'(1/2x₄, 1/2y₄).

Thus, each vertex of the original quadrilateral is transformed by halving the x-coordinate and multiplying the y-coordinate by 1/2. This results in the image quadrilateral J'k'L'M'.

learn more about transformation here:

https://brainly.com/question/11709244

#SPJ11

Answer:

π

Step-by-step explanation:

a circle contains 360° in total, so given it's circumference (lets say C),

the length of an arc with angle α is (α/360)*C
for our exanple, the length of arc AB, will be (20/360)*C
as C is given to be 18π cm, we can calculate:

Length(AB) = (20/360)*18π = π

Given:

\(f(x)=3(x-5)+8\)

To find:

The inverse \(f^{-1}(x)\) of given function

Solution:

We have,

\(f(x)=3(x-5)+8\)

\(f(x)=3x-15+8\)

\(f(x)=3x-7\)

Put f(x)=y.

\(y=3x-7\)

Interchange x and y.

\(x=3y-7\)

Isolate y on one side.

\(x+7=3y\)

\(\dfrac{x+7}{3}=y\)

\(y=\dfrac{x+7}{3}\)

Put \(y=f^{-1}(x)\).

\(f^{-1}(x)=\dfrac{x+7}{3}\)

Therefore, the required inverse function is \(f^{-1}(x)=\dfrac{x+7}{3}\).

The inverse function of f(x) is \(f^{-1}(x) = 5 + \frac{x - 8}{3}\)

The function is given as:

\(f(x) = 3(x - 5) + 8\)

Replace f(x) with y

\(y = 3(x - 5) + 8\)

Swap the positions of x and y

\(x = 3(y - 5) + 8\)

Subtract 8 from both sides

\(x - 8= 3(y - 5)\)

Divide both sides by 3

\(\frac{x - 8}{3} = y - 5\)

Add 5 to both sides

\(5 + \frac{x - 8}{3} = y\)

Rewrite as:

\(y = 5 + \frac{x - 8}{3}\)

Replace y with the inverse function

\(f^{-1}(x) = 5 + \frac{x - 8}{3}\)

Hence, the inverse function of f(x) is \(f^{-1}(x) = 5 + \frac{x - 8}{3}\)

Read more about inverse functions at:

https://brainly.com/question/14391067

Answer:

Step-by-step explanation:

Since this is not factorable, let's just complete the square:

\(x^2+6x=19\\x^2+6x+9=28\\(x+3)^2=28\\x+3=\sqrt{28}\\x=2\sqrt{7}-3\)

Answer:

8 puppies

Step-by-step explanation:

13-5=8

Answer: she had 8 pups left

Explanation: If Rachel's dog had 13 pups all you need to do is subtract 5 from 13 which is 8.

Hope this helps-

We can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

Now, We can use a bar model to represent the total number of cans and the number of stacks that can be formed.

First, let's find the total number of cans:

7 boxes x 48 cans/box = 336 cans

Now, let's use a bar model to represent this total:

| 336 cans of food  |

Next, we want to find how many stacks of 8 cans we can form. We can use a separate bar model to represent the size of each stack:

| 42 stacks of 8 cans each |

Hence, The number of stacks that can be formed, we need to divide the total number of cans by the number of cans in each stack:

336 cans ÷ 8 cans/stack = 42 stacks

So the final bar model looks like this:

| 336 cans of food  | = | 42 stacks of 8 cans each |

Therefore, we can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

Answer:

To solve the problem, we can use multiplication. We know that one classroom took 254 photos and the other classroom took 15 times as many pictures. So, we can write an equation to represent the situation:

Number of photos taken by Advocacy Project for Homeless Pets classroom = 254 x 15

We can then solve this equation using multiplication.

254 x 15 = 3810

Therefore, the Advocacy Project for Homeless Pets classroom took 3,810 photos.

Given tannen's perspective on gender differences in communication,  Men far more than women negotiate for higher starting salaries because salary is a sign of status. So, correct option is C.

Based on Tannen's perspective on gender differences in communication, it is likely that you would find that men negotiate for higher starting salaries far more than women because salary is a sign of status.

Tannen argues that men are socialized to use language as a way to establish and maintain their status in society, and negotiating for a higher salary is one way for men to assert their status.

Women, on the other hand, are socialized to use language as a way to build and maintain relationships, and negotiating for a higher salary may be perceived as aggressive or confrontational, which goes against societal expectations for women's communication style.

Therefore, option (c) is the most likely answer.

To learn more about gender differences click on,

https://brainly.com/question/14101913

#SPJ4

Complete question is:

Given tannen's perspective on gender differences in communication, what would you expect to find regarding salary negotiation and gender

answer choices:

a. Women negotiate for higher starting salaries far more than men because they wish to prove their worth

b. Men and women negotiate for higher starting salaries about equally

c. Men far more than women negotiate for higher starting salaries because salary is a sign of status

d. None of the above is true