The population of a certain town was 10,000 in 1990. the rate of change of the population, measured in people per year, is modeled by:_____

The net force acting on the object is 3456 N, the objective with an acceleration.

The net force applied to an object is equal to the product of its mass and acceleration, according to Newton's second law of motion. Mathematically, this can be represented as:

Fnet = ma

Where Fnet is the net force, m is the mass, and a is the acceleration. In your scenario, the net force applied to the object is 125 N, and its acceleration is 24.0 m/s2. Therefore, we can rearrange the formula and solve for the mass of the object as follows:

m = Fnet / a
m = 125 N / 24.0 m/s2
m = 5.21 kg

However, this answer does not match the given mass of the object, which is 144 kg. This suggests that there may be an error in one of the values provided. Assuming the mass of the object is actually 144 kg, we can use the same formula to solve for the net force acting on it as follows:

Fnet = ma
Fnet = 144 kg * 24.0 m/s2
Fnet = 3456 N

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The mass of an object with net force value = 125 Newton and acceleration of 24.0 m/s² is equals to the 5.208 kg. So, option(c) is right one.

The force formula is derived by Newton's second law of motion. The basic formula force applied on object is F = ma, which implies that net force is equals to product of mass and acceleration of an object. We have an object with the following information, Net applied force on object, F = 125 N

Acceleration of an object, a = 24.0 m/s²

We have to determine mass of object. Using the above force formula, F = M× a

where M --> mass in kilograms

a --> Acceleration in m/s²

F --> net force in Newton

Substitute all known values in above formula, 125 N = M × 24.0 m/s²

=> M = = \(\frac{125}{24}\)

=> M = 5.208 kg

Hence, required value is 5.208 kg.

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Complete question:

A net force of 125 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/s^2. The mass of the object is ?

a) 144 kg

b) 236 kg

c) 5.208 kg

d) 459 kg

Answer:

x = 2

y = 3

z = -2

Step-by-step explanation:

Answer:

See picture

Step-by-step explanation:

The question is an illustration of Pythagoras theorem

The length of the hypotenuse is 11.8 cm

The legs of the right triangle have the following measures

Leg 1 = 7 cm

Leg 2 = 9.5 cm

So, the length of the hypotenuse (h) is calculated using the following Pythagoras theorem.

\(h = \sqrt{Leg\ 1^2 + Leg\ 2^2}\)

This gives

\(h = \sqrt{7^2 + 9.5^2}\)

Evaluate the squares

\(h = \sqrt{139.25}\)

Evaluate the exponent

\(h = 11.8\)

Hence, the length of the hypotenuse is 11.8 cm

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Answer:11.8

Step-by-step explanation:

Y E S

The selling price per unit under the variable cost method is $53.25

To calculate the selling price per unit under the variable cost method, we need to add up all the variable costs and then add a markup for the target profit.

Variable cost per unit = Direct materials + Direct labor + Variable overhead + Variable selling, general, and administrative costs

Variable cost per unit = $17.50 + $11.00 + $12.00 + $9.50

Variable cost per unit = $50.00

Now we need to add a markup for the target profit:

Target profit per unit = Target profit / Number of units

Target profit per unit = $65,000 / 20,000

Target profit per unit = $3.25

Selling price per unit under the variable cost method = Variable cost per unit + Target profit per unit

Selling price per unit under the variable cost method = $50.00 + $3.25

Selling price per unit under the variable cost method = $53.25

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Answer:

You walked for 20 minutes and ran for 40 minutes

Step-by-step explanation:

System of Equations

Let x = the number of minutes you ran

y = the  number of minutes you walked

Walking and running takes a total of 60 minutes, thus:

\(x+y=60\qquad\qquad [1]\)

Running time is twice as much as walking time, thus:

\(x=2y\qquad\qquad [2]\)

Solve the system by substitution. Taking x from [2] and substitute in [1]:

2y+y=60

Simplifying:

3y=60

Solving:

y=60/3=20

Calculate x from [2]:

x=2*20=40

You walked for 20 minutes and ran for 40 minutes

The other three measures are:

This, I assume, refers to two lines that cross and create four angles.

The same applies to angles 2 and 4 since angles 1 and 3 are vertical angles.

Since vertical angles are congruent in measure, it is simple to determine their measurements.

Hence, the three measures are:

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To solve a stoichiometry problem, the first thing you must do is identify the given and desired quantities. This involves understanding the balanced chemical equation and determining the substances involved.

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. The given quantities are the information provided in the problem, such as the mass, volume, or moles of a particular substance. The desired quantity is what you are trying to find. By identifying these quantities, you can determine the appropriate conversion factors and set up the necessary calculations to solve the problem.

For example, if the problem gives you the mass of a reactant and asks for the volume of a product, you would start by identifying the given mass and the desired volume. From the balanced chemical equation, you can determine the molar ratio between the reactant and product. This ratio allows you to convert the given mass to moles, and then use the molar ratio to convert moles of the reactant to moles of the product. Finally, you can convert the moles of the product to the desired volume using the appropriate conversion factor, such as the molar volume of a gas at a given temperature and pressure.

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The given system of linear equations is checked to be consistent or inconsistent.

Given system of linear equations are:

2x+3y=1 3x+5y=3and x+2y=4 2x+4y=9 and x−4y=−10 −2x+8y=20

To determine whether the given linear system is consistent or inconsistent, we use the method of elimination.

Method of Elimination: Add or subtract equations to eliminate a variable. Once a variable is eliminated, the other variable can be solved for, and then the value substituted into one of the original equations to find the remaining variable.

Considering the first equation, 2x+3y=1, and the second equation, 3x+5y=3, we can eliminate x by multiplying the first equation by 3 and the second equation by -2, then add both equations (3 times the first equation plus -2 times the second equation) to obtain:

6x+9y=33-6x-10y=-6

Simplifying this system results in:

y = 1

Substituting y=1 into either of the original equations gives:

x = -1

Therefore, the solution of the system is (-1, 1). The system is consistent and the solution is unique.

Considering the third equation, x-4y = -10, and the fourth equation, -2x+8y=20, we can eliminate x by multiplying the third equation by 2 and the fourth equation by 1, then add both equations (2 times the third equation plus 1 times the fourth equation) to obtain:

0x+0y=0

The last equation is always true, which implies that there are infinitely many solutions in this system of linear equations.

Considering the fifth equation, x+2y = 4, and the sixth equation, 2x+4y=9, we can eliminate x by multiplying the fifth equation by -2 and the sixth equation by 1, then add both equations (-2 times the fifth equation plus 1 times the sixth equation) to obtain:

0x+0y=1

This equation is always false, which implies that there are no solutions in this system of linear equations. Therefore, the given system of linear equations is inconsistent.

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The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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Answer:

362.88

Step-by-step explanation:

i took the quiz

The solution is, the van drive on a full tank of 16.2 gallons of gas 362.88 miles.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

A van drove 241.92 miles on 10.8 gallons of gas.

so,

the van drive on a full tank of 16.2 gallons of gas is,

241.92/ 10.8 * 16.2

=22.4 * 16.2

=362.88

Hence, The solution is, the van drive on a full tank of 16.2 gallons of gas 362.88 miles.

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Answer:

Step-by-step explanation:

y=-4/7 x+6

slope=-4/7

slope of line perpendicular to it=-1\(-4/7)=7/4

reqd. line is y=(7/4)x+3

or

y=(7/4)x-3

The values would be

sin2x = -3/5

cos2x = -4/5

tan2x = 3/4

What are double angles in trigonometry?

The double angle formulas are used to find the values of double angles of trigonometric functions using their single angle values. For example, the value of cos 30° can be used to find the value of cos 60°. Also, the double-angle formulas can be used to derive the triple-angle formulas.

Given: tanx = -3

Now as we know,

                  \(sin2x=\frac{2tanx}{1+tan^2x}\\\\sin2x=\frac{2(-3)}{1+(-3)^2}\\\\sin2x=\frac{-6}{10}\\\\sin2x=\frac{-3}{5}\)

Now

               \(cos2x=\frac{1-tan^2x}{1+tan^2x}\\\\cos2x=\frac{1-(-3)^2}{1+(-3)^2}\\\\cos2x=\frac{1-9}{1+9}\\\\cos2x=\frac{-8}{10}\\\\cos2x=\frac{-4}{5}\)

And similarly, we can find the value of tan2x, as

                  tan2x = sin2x/cos2x

                             = (-3/5)/(-4/5)

                             = 3/4

Hence,

The values would be

sin2x = -3/5

cos2x = -4/5

tan2x = 3/4

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Step-by-step explanation:

n/10+6=11

n/10=11-6

n/10=5

n=5x10

n=50

Answer: n=50

The problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

The problem can be solved using the simplex method, and verified using the graphical method. Here are the steps:

Convert the problem to standard form by introducing slack variables:
Min Z = -2X1 - 4X2 - 3X3 + 0S1 + 0S2 + 0S3
St. X1 + 3X2 + 2X3 + S1 = 30
X1 + X2 + X3 + S2 = 24
3X1 + 5X2 + 3X3 + S3 = 60
Xi, Si >= 0

Set up the initial simplex tableau:
| 1 3 2 1 0 0 30 |
| 1 1 1 0 1 0 24 |
| 3 5 3 0 0 1 60 |
| 2 4 3 0 0 0 0 |

Identify the entering variable (most negative coefficient in the objective row): X2

Identify the leaving variable (smallest ratio of RHS to coefficient of entering variable): S1

Pivot around the intersection of the entering and leaving variables to create a new tableau:
| 0 2 1 1 -1 0 6 |
| 1 0 0 -1 2 0 18 |
| 0 0 0 5 -5 1 30 |
| 2 0 1 -2 4 0 36 |

Repeat steps 3-5 until there are no more negative coefficients in the objective row. The final tableau is:
| 0 0 0 7/5 -3/5 0 18 |
| 1 0 0 -1/5 2/5 0 6 |
| 0 0 1 1/5 -1/5 0 6 |
| 0 0 0 -2 4 0 24 |

The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

To verify the solution using the graphical method, plot the constraints on a graph and find the feasible region. The optimal solution will be at one of the corner points of the feasible region. By checking the values of the objective function at each corner point, we can verify that the optimal solution found using the simplex method is correct.

In conclusion, the problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

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It's three times 27, which is three times nine. Which is three times three. So, using the factoring method, we're able to see that three to the fifth power is 243. So, the fifth root of 243 is equal to three.

The answer of the given question based on the graph of lemnicate is , option B. r² = 8 cosine 2 Θ.

The lemniscate is a plane curve with a characteristic shape resembling a figure-eight or an infinity symbol (∞). The graph of the lemniscate depends on the value of the constant a. For example, when a is positive, the curve consists of two loops that intersect at the origin, forming an "infinity" shape. When a is negative, the curve consists of two separate loops that do not intersect. The lemniscate is a symmetric curve with respect to the origin, and it has rotational symmetry of order 4. It also has reflection symmetry across the x-axis, y-axis, and both diagonals of the Cartesian coordinate system.

The lemniscate is a polar graph with the equation:

r² = a²*cos(2θ)

where a is a constant that determines the size of the lemniscate.

Comparing this equation with the options given, we can see that the correct equation for the graph of the lemniscate is:

B. r² = 8*cos(2θ)

Therefore, the answer is:

B. r² = 8 cosine 2 Θ

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❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Suppose :

a = ( 5 , 1 ) and b = ( 2 , - 5 )

______________________________________

We have following equation to find the slope of the line using two points :

\(slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ \)

Now just need to put the coordinates in the above equation ;

\(slope = \frac{ - 5 - 1}{2 - 5} \\ \)

\(slope = \frac{ - 6}{ - 3} \\ \)

Negatives simpliflies

\(slope = \frac{6}{3} \\ \)

\(slope = \frac{3 \times 2}{3} \\ \)

\(slope = \frac{2}{1} \\ \)

\(slope = 2\)

❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Answer:

60 or 70

Step-by-step explanation:

Answer:

The shape is a trapezium; so use the formula for solving area of a trapezium to solve it. Which is

1/2(a+b)×h

=1/2(10+6)×7

=1/2 × 16 × 7

= 8×7

=56

Answer:

9 pitchers

Step-by-step explanation:

(36/8)*2

;)

Answer:9

Step-by-step explanation: i did  36 dived by 8 and got  4.5  and then times it by 2 and got 9

Answer:

63

Step-by-step explanation:

DO 9x3=27

90-27=63.

Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

We are given the function;

f(x) = {3x - 1, if -9 < x ≤ -2

        {-5, if -2 < x ≤ 1

        {x - 6, if 1 < x < 7

Now, the domain of a function is defined as the set of all possible input values that make the function to exist. Meanwhile, the range of a function is the set of all possible output values that make the function to exist.

Looking at the given intervals and combining them all, we can tell that the domain is as follows; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

Now, the range for 3x - 1 is;

3(-9) - 1 = -28 and 3(-2) - 1 = -7

Range is greater than -28 and less than or equal to -7

Range of x - 6 will be greater than -5 and less than 1

Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

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Answer:

Step-by-step explanation:

Value of the car at the end of the first year = £9680

Depreciation = 12 %

Original price = £ x

If we reduce 12% of original price from x, we will get £9680

x - 12% of x  = £ 9680

\(x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000\)

Original price  = £ 11000

Answer:

showing that A D to the power of 2 plus D C to the power of 2 equal A C to the power of 2

Step-by-step explanation:

The information about this figure would be used as a step in a proof of the Pythagorean theorem is AC²  = AD²  + CD²

The theorem states that the square of the hypotenuse is equal to the sum of the square of the adjacent and opposite

From the given figure, the triangle ADC is right angles. Hence we can apply the theorem on the triangle.

According to the theorem:

AC²  = AD²  + CD²

Hence the information about this figure would be used as a step in a proof of the Pythagorean theorem is AC²  = AD²  + CD²

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Answer:

answer = -348

Step-by-step explanation:

substitution a and b in equation

hope it helps you ☺️

Answer:

a it has to equal 180

I need this to be 20 letters long so I'm doing dis

Answer:

A is the right answer

Step-by-step explanation:

A triangles angles equal 180° like if you add up all the ablngles no matter what size of the shape. So to find the answer you add the angles you know so in this case 61+69 which equals 130 so then you subtract 180 with 130 to get you 180. And if you want to make sure you are right you can add up all the angles which is 69+61+50=180

Hope this helps :)

Answer:

A.

Twice the sum of a number and three means that the number and three are in parentheses.

Answer:A boo

Step-by-step explanation: trust me :) ✨