if c1 is a changing cell then round(c1) is a linear function

Answer:

about 97.48

Step-by-step explanation:

Answer:Well first we have the circumference of the circle 35 our first step is to divide it by pi to see what the radius is:

35/pi=11.1408460164

Now that we know what the radius of the circle we are going to square it and then multiply by pi to find what is the area of the circle:

11.1408460164²=124.118449961

124.118449961xpi=389.929610573 square inches

Now that we know what the area is of the circle we need to calculate which area is closest to the answer which happens to be A. 380 square inches.

Answer: A/  x - 250/ <25  

B/ x C [225 < x < 275]

C/ Minimum amount received = $225

Maximum amount received = $275

Step-by-step explanation:

Answer:

-168

Step-by-step explanation:

because  f(x) = 8 - 10xg(x) = 5x + 4

(fg)(x) = (8 - 10x)(5x + 4)(fg)(x) = 40x + 32 - 50x^2 - 40x(fg)(x) = 32 - 50x^2

(fg)(-2) = 32 - 50(-2)^2(fg)(-2) = 32 - 200(fg)(-2) = -168

The sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)

Acute angles are angles whose measures are greater than 0° and less than 90°. According to the statement, we must find at least a value such that sin θ = cos θ:

sin θ = cos θ                     Given

sin θ / cos θ = 1                 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property

tan θ = 1                            Definition of tangent

θ = π / 4                            Inverse trigonometric function / Result

In a nutshell, the sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)

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Based on the information provided, the circle graph represents the preferences of the citizens for their favorite type of pet. we can calculate the number of citizens who chose cats by multiplying the total number of citizens (130,000) by that percentage. If the graph shows that 40% of citizens chose cats, then the calculation would be 130,000 * 0.40 = 52,000 citizens who chose cats as their favorite pets.

According to the circle graph, we can see that the blue section represents the percentage of citizens who chose cats as their favorite type of pet. To find out the actual number of citizens who chose cats, we need to use the information that 130,000 citizens answered the question.

First, we need to determine what percentage of citizens chose cats. From the graph, it looks like the blue section represents about 35% of the total.

To calculate this percentage as a decimal, we divide 35 by 100:

35/100 = 0.35

Now we can use this decimal to find out how many citizens chose cats:

0.35 x 130,000 = 45,500

Therefore, approximately 45,500 citizens chose cats as their favorite type of pet.

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The difference between the mean of the sample and the mean of the population is 0.4. A larger sample size would provide a more reliable estimate of the population mean.

In the given population data, the mean can be calculated by summing up all the values and dividing by the total number of values. The sum of the population data is 63, and there are 20 values, so the mean is 63/20 = 3.15.

For the sample data, the mean is calculated in the same way. The sum of the sample data is 18, and there are 5 values, so the mean is 18/5 = 3.6.

To find the difference between the means, we subtract the mean of the population from the mean of the sample: 3.6 - 3.15 = 0.45. Therefore, the difference between the mean of the sample and the mean of the population is 0.45, which can be rounded to 0.4.

The difference of 0.4 indicates that, on average, the sample data has a higher mean than the population data. This suggests that the individuals in the sample spend more hours on homework during the week, on average, compared to the entire population. However, it's important to note that this conclusion is based on a random sample and may not necessarily represent the entire population accurately. A larger sample size would provide a more reliable estimate of the population mean.

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Answer:

B

Step-by-step explanation:

3(6)-5(-3)≥10

18-(-15)≥10

18+15≥10

33≥10

We can write the given partial equilibrium model on the form Ax = d, and then use Cramer's rule to solve for the values of Qs* and P*.

To write the model on the form Ax = d, we need to express the equations in a matrix form.

The given equations are:

Qd = a1 + b1P

Qs = a2 + b2(P - t)

We can rewrite these equations as:

-Qd + 0P + Qs = a1

0Qd - b2P + Qs = a2 - b2t

Now, we can represent the coefficients of the variables and the constants in matrix form:

| -1 0 1 | | Qd | | a1 |

| 0 -b2 1 | * | P | = | a2 - b2t |

| 0 1 0 | | Qs | | 0 |

Let's denote the coefficient matrix as A, the variable matrix as x, and the constant matrix as d. So, we have:

A * x = d

Using Cramer's rule, we can solve for the variables Qs* and P*:

Qs* = | A_qs* | / | A |

P* = | A_p* | / | A |

where A_qs* is the matrix obtained by replacing the Qs column in A with d, and A_p* is the matrix obtained by replacing the P column in A with d.

By calculating the determinants, we can find the values of Qs* and P*.

It's important to note that Cramer's rule allows us to solve for the variables in this system of equations. However, the applicability of Cramer's rule depends on the properties of the coefficient matrix A, specifically its determinant. If the determinant is zero, Cramer's rule cannot be used. In such cases, alternative methods like substitution or elimination may be required to solve the equations.

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Answer:

6 aduts and 5 kids

Step-by-step explanation:

$20 for the kids in total and $54 for the adults

Annual interest=100000×21%=21000

She paid=20000

She owing now=100000-14750=85250

The nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000.

Using a base year,the formula to calculate the Real GDP is given below:

Real GDP = Nominal GDP ÷ Deflator (in decimal)

Where, Deflator = (Price of base year goods and services ÷ Price of current year goods and services) × 100

Nominal GDP for the year 2017= 1,650 × 10 + 2,820 × 25= 16,500 + 70,500= 87,000

Nominal GDP for the year 2019= 1,900 × 12 + 3,250 × 27= 22,800 + 87,750= 110,550 Using the above formula,

Deflator for the year 2017 can be calculated as:

Deflator for 2017= (P2017 / P2017) × 100= (1 × 10 + 2 × 25) / (1 × 10 + 2 × 25) × 100= 100

Similarly, Deflator for the year 2019 can be calculated as:

Deflator for 2019= (P2019 / P2017) × 100= (1.10 × 12 + 2.75 × 27) / (1 × 10 + 2 × 25) × 100= 120.25

Now, Real GDP for the year 2017= 87,000 / 100= $87,000 Real GDP for the year 2019= 110,550 / 120.25= $917.54 million.

Thus, the nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000. The nominal GDP for the year 2019 is $110,550, and the real GDP for the year 2019 is $917.54 million.

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The first term on the left-hand side represents the flux of the quantity D(pu δ) across the cell boundaries, and the second term represents the change of this flux within the cell.

To integrate the 1D steady-state convection-diffusion equation over a typical cell, we can start with the given equation:

D/dx(pu δ) = d/dx (rd δ/dx)

Here, D is the diffusion coefficient, p is the velocity, r is the reaction term, u is the concentration, and δ represents the Dirac delta function.

To integrate this equation over a typical cell, we need to define the limits of the cell. Let's assume the cell extends from x_i to x_i+1, where x_i and x_i+1 are the boundaries of the cell.

Integrating the left-hand side of the equation over the cell, we have:

∫[x_i to x_i+1] D/dx(pu δ) dx = D∫[x_i to x_i+1] d(pu δ)/dx dx

Using the integration by parts technique, the integral can be written as:

= [D(pu δ)]_[x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx

Similarly, integrating the right-hand side of the equation over the cell, we have:

∫[x_i to x_i+1] d/dx (rd δ/dx) dx = [rd δ/dx]_[x_i to x_i+1]

Combining the integrals, we get:

[D(pu δ)][x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx = [rd δ/dx][x_i to x_i+1]

This equation can be further simplified and manipulated using appropriate boundary conditions and assumptions based on the specific problem at hand.

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Answer:

$41.40
2.5x + 4.2y

Step-by-step explanation:

Cost for each large box = $4.20

Cost for each small box = $2.50

How much would it be to get 3 smalls and 8 larges?
Total cost = 3(2.5) + 8(4.2) = 7.5 + 33.6 = 41.1
So the cost of 3 small boxes and 8 large boxes would be $41.40.

How much is it for x small boxes and y large boxes?
Write an expression to represent the situtation with two variables, x and y.

2.5x + 4.2y

Using logical reasoning, we know that Aha's current body temperature after taking the medicine is 34°C.

Deductive reasoning, often known as logical reasoning, is the process of drawing conclusions from a body of facts or evidence.

It involves putting specific premises in front of conclusions.

Induction and abduction are two additional categories of logical reasoning that are typically distinguished in addition to the formal deduction.

If one has a premise or precondition, a conclusion or logical consequence, and a rule or material conditional that signals the conclusion given the premise, one can explain the following.

So, we know that:

The normal body temperature of the body is 37°C.

Aha current body temperature is 3 more than normal body temperature, then it is: 37 + 3 = 40°C (Current body temperature)

After taking medicine,

Temperature is 6° less than current body temperature, that is:

40 - 6 = 34°C

Temperature is 3° less than the normal body temperature, that is:
37 - 3 = 34°C

Then, the current temperature after taking medicine: 34°C

Therefore, using logical reasoning, we know that Aha's current body temperature after taking the medicine is 34°C.

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Answer:

Jen has 5c -23 cards now

Step-by-step explanation:

Matt has c baseballs.

Jen has 9 fewer than 5 times as Matt.

Mathematically, what Jen has will be 5c -9 baseballs

Now, Jen gives Matt 14 cards. This means that she lost 14 of her cards and we are going to subtract.

The number of cards she has now is thus 5c-9-14 = 5c -23 cards

The system of equations associated with the augmented matrix [6 3 6 -2 -4 -9] is 6x + 3y + 6z = -2 and -4x - 9y + z = -9. The system of equations associated with the augmented matrix [3 2 1 11; 2 1 3 15; 0 2 -1 -2] is 3x + 2y + z = 11, 2x + y + 3z = 15 and -2x + 4y - z = -2.

For the first augmented matrix, the system of equations would be

6x + 3y + 6z = -2

-4x - 9y + z = 1

The coefficients of x, y, and z can be found in the first three columns of the matrix, and the constants are in the last column. The system of equations can be written by using these coefficients and constants.

For the second augmented matrix, the system of equations would be

3x + 2y + z = 11

2x + y + 3z = 15

-2x + 4y - z = -2

Again, the coefficients of x, y, and z can be found in the first three columns, and the constants are in the last column. The system of equations can be written using these coefficients and constants.

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--The given question is incomplete, the complete question is given

"Write the system of equations associated with each augmented matrix. Do not solve. 6 3 6 -2 -4 -9 1) a) 6x 3y  [ 3 2 1 11 [2 1 3 15. 02 42 -1 -2 3 15 "--

The tοtal amοunt with interest after 2 years is  $1,08,000.

The cοst οf bοrrοwing mοney is knοwn as simple interest because cοmpοunding effects are nοt taken intο cοnsideratiοn. Simply said, simple interest sοlely affects the principal sum. When mοney is bοrrοwed fοr a specific periοd οf time at a specific rate, a tiny sum οf mοney knοwn as simple interest is levied. Simple interest can be calculated using the fοrmula SI = P R T.

Here the given principal p = $ 90,000

Rate οf interest = 10% = 10/100 = 0.1

Number οf years = 2 years

Nοw using simple interest fοrmula then,

=> Interest I = prt

=> I = 90,000 × 0.01 × 2

=> I = $ 18,000

Then Tοtal amοunt = Principal + interest

=> Tοtal Amοunt = $90,000+$18,000 = $1,08,000.

Hence the tοtal amοunt with interest after 2 years is  $1,08,000.

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The expression that results from applying the law of indices and expression is 5x^(-7/3).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.

Here,

The resulted expression will be,

(125x)^(7/3)^(-1/3)

125=5^3

(a^n)^m = a^mn

(5x)^3^7/3^-1/3

(5x)^7*-1/3

5x^(-7/3)

The resulted expression will be 5x^(-7/3) using the law of indices and expression.

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Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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Answer:

...what...graph

Step-by-step explanation:

I do not see a graph.

Answer:

<A=79°

<B=112°

Step-by-step explanation:

this shape is Quadrilateral

so C+A=180°

D+B=180°

Answer:

\(8x+8y=40\)

Step-by-step explanation:

The line passes through \((5,0)\) and \((0,5)\).

\(\frac{x}{5}+\frac{y}{5}=1 \implies x+y=5 \implies 8x+8y=40\)

By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

Herein we must apply a rigid transformation into a given point to determine an image. Rigid transformations are transformations applied on a geometric locus such that Euclidean distance is conserved. Dilations are a kind of rigid transformations such that:

(x, y) → (k · x, k · y), for k > 0

If we know that Q(x, y) = (0, 2) and k = 0.5, then the coordinates of Q' are:

Q'(x, y) = (0.5 · 0, 0.5 · 2)

Q'(x, y) = (0, 1)

By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

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Answer: Q' = (0,1)

Step-by-step explanation: just did it on edge

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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Answer:

12.6m²

Step-by-step explanation:

radius=2

Area=π2²=12.6(1dp)

Answer:

4 x 4 x 8

Step-by-step explanation:

So we have a birdhouse that is a recangular prism. This means the volume is simply depth * height * width. We are given that the depth is 4 inches, the width is w inches, and the height is 4 + w.

Set up a volume equation to represent the situtation

(4)(w)(4 + w) = 128

(w)(w + 4) = 32

w² + 4w = 32

Use "completing the square" to solve for w. If you don't know how...

ax² + bx + c represents a square function. Take the coefficient b, divide it by 2, and then square it. Add this number to both sides of the equation so that we create a factorable square polynomial while keeping the equation equal to the original.

w² + 4w + 4 = 32 + 4

Factor and simplify.

(w + 2)² = 36

w + 2 = ±6

w = ±6 - 2

w = -8, 4

The value -8 doesn't make sense as a dimension so the width is just 4.

Substitute this into our w + 4 that represents the height so the it is 8.

Now we can say the dimensions of the birdhouse are 4x4x8.

After the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:

\(\left(-2, \frac{1}{2}\right] \cup(2, \infty)\)

So, get x, by simplification of both sides of the inequality before isolating the variable.

Form of Inequality:

Interval notation:

(Refer to the graph diagram given below)

Therefore, after the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:

\(\left(-2, \frac{1}{2}\right] \cup(2, \infty)\)

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Answer:

B. 0.25

Step-by-step explanation:

There are 8 total pieces.

2 of them are green.

that makes it a 2/8 chance it will land on green.

2/8 = 1/4

1/4 = 0.25

Answer:

B. 0.25

Step-by-step explanation:

There are 8 possible landing areas, all with equal size.

There are 2 green area.

p(event) = (number of desired outcomes)/(number of total outcomes)

The desired outcome is landing on green. There are 2 desired outcomes.

The total number of possible outcomes is 8.

p(green) = 2/8 = 1/4 = 0.25

Answer: B. 0.25

Let's use x to represent the cost of one orange and y to represent the cost of one lemon. We can then set up a system of two equations:16x + 13y = 9.29 19x + 6y = 9.05 These equations represent the total cost of buying a certain number of oranges and lemons in two different scenarios.

To understand why we need two equations, let's consider the first equation: 16x + 13y = 9.29

This equation tells us that if we buy 16 oranges and 13 lemons, the total cost will be $9.29. But we don't know the individual prices of oranges and lemons yet. That's where the second equation comes in: 19x + 6y = 9.05

This equation tells us that if we buy 19 oranges and 6 lemons, the total cost will be $9.05. Again, we don't know the individual prices yet.

By setting up a system of equations, we can solve for x and y, which represent the prices of oranges and lemons, respectively.

One way to solve this system is by elimination. We can multiply the first equation by 19 and the second equation by -16, which will allow us to eliminate y:

304x + 247y = 176.51
-304x - 96y = -144.8

Adding these two equations together gives: 151y = 31.71
Dividing both sides by 151, we get: y = 0.21
Now we can substitute this value of y into one of the original equations to solve for x. Let's use the first equation:
16x + 13(0.21) = 9.29
16x + 2.73 = 9.29
16x = 6.56
x = 0.41

So the cost of one orange is $0.41 and the cost of one lemon is $0.21.

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Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

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