Use the order of operations to find the value of the expression. 12 ÷ 2 × 3 − ( 7 − 5 ) a. 0 b. 6 c. 16 d. 19

Domain: For sales, x > 0 (positive values); for returns, x < 0 (negative values).

Range: F(x) ≥ 0 (non-negative values).

The given function is defined as follows:

For x > 0 (sale): F(x) = |x| * 0.015

For x < 0 (return): F(x) = |x| * 0.005

The domain of the function is the set of all possible input values, which in this case is all real numbers. However, due to the specific conditions mentioned, the domain is restricted to positive values of x for the "sale" scenario (x > 0) and negative values of x for the "return" scenario (x < 0).

Therefore, the domain of the function F(x) is:

For x > 0 (sale): x ∈ (0, +∞)

For x < 0 (return): x ∈ (-∞, 0)

The range of the function is the set of all possible output values. Since the function involves taking the absolute value of x and multiplying it by a constant, the range will always be non-negative. In other words, the range of the function F(x) is:

For x > 0 (sale): F(x) ∈ [0, +∞)

For x < 0 (return): F(x) ∈ [0, +∞)

In conclusion, the domain of the function F(x) is x ∈ (0, +∞) for sales and x ∈ (-∞, 0) for returns, while the range is F(x) ∈ [0, +∞) for both scenarios.

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a)  The volume of paint left in the can is:

.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

b)  the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:

0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:

Volume = area * thickness

We want to solve for the thickness, so we rearrange the formula to get:

Thickness = Volume / area

The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:

0.003321 m^3

The area of the wall is given as:

13.7 m^2

So the thickness of the layer of wet paint is:

0.003321 m^3 / 13.7 m^2 = 0.000242 m

Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

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Answer:

Step-by-step explanation:

3x-6 = 33

= 3x = 33 + 6

= 3x = 39

x = 13

Answer:

81230

Step-by-step explanation:

The total cost for the mortgage and the real estate taxes is $81230.

A mortgage is an agreement between an individual and an owner of a property that provides the owner the right to repossess your property if you fail to repay the loan plus interest at the agreed time.

Mortgage loans are used to purchase a property or to take loans upon the value of an existing home you already own.

From the information given:

Therefore, the total cost required by Al and Viola to pay for the mortgage is:

= $80000 + $1,230

= $81230

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Answer:

Step-by-step explain

the answer is c

Answer:

the length of the other sides are

4 m and 5 m

Step-by-step explanation:

the area of right triangle = ½× b x h = 6

let b = 3m => h= 2×6/ 3 = 4m

and the hypotenuse = √3²+4²=√25= 5m

Answer:

5m and 4m

Step-by-step explanation:

(area of a right angle triangle)=1/2×b×h

let b = 3m

1/2×6×2=6×2=12/3=4m

and it's hypotenuse= 3

\(3 { }^{2} + 4 {}^{2} = \sqrt{25 {}^{2} } \)

= 5m

To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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Answer:

\(2\sqrt[3]{3}\)

explanation:

\(\rightarrow \sf 24^{\frac{1}{3}}\)

\(\rightarrow \sf \sqrt[3]{24}\)

\(\rightarrow \sf \sqrt[3]{2*2*2*3}\)

\(\sf \rightarrow \left(2^3\cdot \:3\right)^{\frac{1}{3}}\)

\(\sf \rightarrow 2\cdot \:3^{\frac{1}{3}}\)

\(\sf \rightarrow 2\sqrt[3]{3}\)

Answer:

Step-by-step explanation:

24^(1/3)

=(8*3)^(1/3)

=(8)^(1/3)*(3)^(1/3)

=(2^3)^(1/3)*3^(1/3)

=2*(3)^(1/3)

or \(2\sqrt[3]{3}\)

Answer:

una

Step-by-step explanation:

4/20=.20

.20 per pencil

hope this helps, brainliest appreciated

The perimeter of the L shape is: AB + BC + CD + AC = x + x + x √2 + x = 2x + x √2

To find the perimeter of the L shape, we need to add up the lengths of all the sides.

Starting from the top left corner, we can label the four vertices of the L shape as A, B, C, and D, as shown in the diagram below.

The length of side AB is simply x, and the length of side BC is also x.

To find the length of side AC, we can use the Pythagorean theorem. Since triangle ABC is a right triangle, we have:

\(AC^2 = AB^2 + BC^2\)

\(AC^2 = x^2 + x^2\\AC^2 = 2x^2\\\\AC = sqrt(2x^2) = x sqrt(2)\\\\\)

Finally, to find the length of side CD, we can use the fact that it is parallel to AB and has the same length as BC, which is x.

Therefore, the perimeter of the L shape is:

AB + BC + CD + AC = x + x + x √2 + x = 2x + x √2

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What is an expression in terms of x for the greatest perimeter for a shape made of L regular hexagons?

The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

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The unit vector that is in the same direction as v is given by:

\(u = \left<-\frac{24}{\sqrt{745}}, \frac{13}{\sqrt{745}}}\right>\)

The vector is given by the terminal point subtracted by the initial point, hence:

v = (-17, 4) - (7, -9) = <-24, 13>

Each coordinate of the vector is divided by it's norm.

For this vector, the norm is given by:

\(|v| = \sqrt{(-24)^2 + (13)^2} = \sqrt{745}\)

Hence the unit vector is:

\(u = \left<-\frac{24}{\sqrt{745}}, \frac{13}{\sqrt{745}}}\right>\)

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Answer:

it is b

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The left side −28 does not equal to the right side 22 , which means that the given statement is false.

Answer:

x=2 (The equation is not a function)

Step-by-step explanation:

a function cannot have different y values for same x values.

(2, 1) and (2,7) have the same x value of 2 but have different y values.

However, if you are not considering that, the equation will be

x=2

All the positive integers k for which three numbers a1,a4,ak form a geometric sequence in order is 37.

It is given that,

a₁ , a₂ , a₃   form an  an arithmetic sequence, a₁ ≠  a₂, a₁ , a₂ , a₆  form geometric sequence.

For finding, all possible positive integers k for which the three numbers a₁, a₄, ak  form a geometric sequence

Then,

a₁ , a₂ , a₃  , .................. aₙ    is  AP

a₁ ≠  a₂   (common difference is not zero)

aₙ = a + (n - 1) d

a₁ , a₂ , a₆  form GP

a₂²   = a₁ a₆ (a₁ + d)²  

= a₁ (a₁ + 5d)

a₁²  + d² + 2a₁d  

= a₁² + a₁5d

d² + 2a₁d  =  a₁5d

d  + 2a₁  = 5a₁ (as d is not equal to 0)

3a₁  = d

d = 3a₁

a₄  = a₁  + 3(3a₁)  = 10a₁

ak  = a₁ + (k - 1)(3a₁)  

= a + 3ka₁  - 3a₁  

= a₁ (3k - 2)

Forming the geometric sequence, a₁, a₄, ak    

a₄²  =  a₁ . (ak)

(10a₁)²  = a₁ a₁(3k - 2)

3k - 2 = 100

3k = 102

k = 34

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car is travelling faster

22 - 18 = 4 meter per second

hope it helps...!!!

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

A. -3

Step-by-step explanation:

Multiply first then add or minus

3 - 3 x 3 + 3

3 - 9 + 3

-6 + 3

-3

Answer:

i got 2.7

Step-by-step explanation:

Each child would get 1/12 th part of the whole watermelon.

For given question,

8 children have to share two thirds of a watermelon equally .

This means we need to equally distribute 2/3 of whole watermelon to 8 children.

To divide 2/3 part of of a watermelon equally into 8 parts, we need to divide 2/3 by 8.

(2/3) ÷ 8

= \(\frac{(\frac{2}{3} )}{8}\)

We know that in 8 = 8/1

So, we rewrite the denominator of above fraction as,

\(\frac{(\frac{2}{3} )}{8} \\\\= \frac{(\frac{2}{3} )}{(\frac{8}{1} )} \\\\=\frac{2}{3} \times \frac{1}{8} \\\\=\frac{1}{12}\)

This means, each child will get 1/12 part of the whole watermelon.

Therefore, each child would get 1/12 part of the whole watermelon.

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The answer to following questions are as follows:-A)experiment

B)meaning “statistically non significant” C)explained below

A wave is a dynamic disturbance that propagates over one or more quantities in the domains of physics, mathematics, and allied sciences. When waves are periodic, those parameters repeatedly oscillate around an equilibrium value at a certain frequency.

The answers are: a) It is an experiment since some claims are not supported by evidence.

b) When the analysis reveals that there are substantial variations between the observed, "not statistically significant" refers to "statistically non significant." And we are unable to analyse any of the statistics' results.

c) The fact that Motorola, a cell phone company, funded this research reveals to us that this claim is untrue because Motorola conducts this research to boost their sales.

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Answer:a polygon cannot have 7.2 sides

Step-by-step explanation:

each exterior angle of a regular polygon with n sides is equal and these angles add up to 360∘ . a polygon cannot have 7.2 sides. since , the exterior angle of a regular polygon cannot be 50∘

Answer:

I believe that the error is that sqrt(-2) should be equal to sqrt(2) * i

Step-by-step explanation:

The rest of the steps all use proper algebraic rules, but the square root of a*b = sqrt(a)*sqrt(b)

Answer:

English translator please so i can help you? :)

Step-by-step explanation:

Answer:

15.1 to nearest tenth.

Step-by-step explanation:

The 7 is the lowest number so the mean would increase if taken away.

New mean = (8 + 12 + 13 + 15 +  18 + 19+21) / 7

= 106 / 7

= 15.14

Answer:

Step-by-step explanation:

Answer:

\(\frac{3-2a}{a^2}\)

Step-by-step explanation:

Before we can subtract the fractions we require them to have a common denominator.

Multiply the numerator/ denominator of \(\frac{2}{a}\) by a , then

\(\frac{3}{a^2}\) - \(\frac{2a}{a^2}\) ← with common denominator a²

Add numerators leaving the denominator

= \(\frac{3-2a}{a^2}\)

Answer:

It would be -27

Step-by-step explanation:

Math