Danielle just moved into a new apartment and her couch was left by the entrance. The couch has a mass of 115 kg and wood feet. The entrance into the apartment has a smooth hardwood floor while the living room is carpeted (see following chart for coeffients of friction). Danielle initially tried pushing it by herself with a force of 180 N. Then her brother, Ramone, dropped by and helped. Together they were able to push the couch where she wanted it in the living room.

Answer:

4[tex]\sqrt{\frac{1}{15} }[/tex]

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

This is a right triangle.

We can find the value of the missing side, hypotenuse, using Pythagoras theorem:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {2}^{2} + ({2 \sqrt{3} )}^{2} = {c}^{2} [/tex]

[tex]4 + 12 = {c}^{2} [/tex]

[tex]16 = {c}^{2} [/tex]

4 = c

Answer:

1

Step-by-step explanation:

Answer: $18,000.

Step-by-step explanation:

Let X be the number of adult tickets sold and Y be the number of youth tickets sold.

We can set up the following system of equations to represent this situation:

X * 25 + Y * 12.50 = 15000

X + Y <= 1000

The first equation represents the total ticket sales, and the second equation represents the maximum capacity of the theater.

To solve this system of equations, we can use a method such as graphing, substitution, or elimination.

Using the substitution method, we can solve for one variable in terms of the other and substitute it into the other equation. For example, we can solve the first equation for X:

X = (15000 - Y * 12.50) / 25

Then, we can substitute this expression for X into the second equation:

(15000 - Y * 12.50) / 25 + Y <= 1000

Solving this equation for Y gives us the number of youth tickets that can be sold:

Y <= 600

This means that the theater can sell a maximum of 600 youth tickets. We can then use this value to find the maximum number of adult tickets that can be sold by substituting it into the expression for X that we derived earlier:

X = (15000 - 600 * 12.50) / 25

Solving this equation gives us a maximum of 240 adult tickets that can be sold.

Therefore, the theater can sell a maximum of 600 youth tickets and 240 adult tickets for a total of 840 tickets. The total ticket sales for this scenario would be 600 * $12.50 + 240 * $25 = $18,000.

According to the definition of distance, the distance between the points (10, 13) and (20, 13) is 10.

The distance between two points is equal to the length of the segment that joins them.

Given the coordinates of two different points (x₁, y₁) and (x₂,y₂), the expression that allows calculating the distance "d" between two different points on the Cartesian plane is:

d= √[(x₂ - x₁)² + (y₂ - y₁)²]

In this case, you know:

Substituting in the definition of distance:

d= √[(20 -10)² + (13 -13)²]

Solving:

d= √[10² + 0²]

d= √10²

d= √100

d= 10

Finally, the distance is 10.

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Answer:

S ≥ 15

Step-by-step explanation:

Let S be the number of candy bars Sierra sold and B be the number of candy bars Breanna sold.

We know that S + B ≥ 45 and B = 2S.

Substituting the second equation into the first equation, we get:

S + 2S ≥ 45

3S ≥ 45

S ≥ 15

Three possible solutions for how many candy bars Sierra sold are:

Sierra sold 15 candy bars

Sierra sold 16 candy bars

Sierra sold 17 candy bars

The domain of the logarithmic function f(x)=log(x) is all real numbers x>0. The range of the logarithmic function is all real numbers y>-∞.

The domain of a logarithmic function f(x)=log(x) is all real numbers x>0. This is because the logarithm function is not defined for x ≤ 0, as log(x) is undefined for x ≤ 0.

The range of the logarithmic function is all real numbers y>-∞. This is because the logarithm of a real number is always negative and approaches negative infinity as x approaches 0. Therefore, the range of a logarithmic function is all real numbers y>-∞.

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Answer:

[tex]x = \frac{1 +\sqrt{359}i }{20} , x = \frac{1 -\sqrt{359}i }{20}[/tex]

Step-by-step explanation:

Given equation is

          [tex]10x^2 - x + 9 = 0[/tex]

The standard Solution of a quadratic equation is:

         [tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]

given a = 10, b = -1, c = 9, so

        [tex]x = \frac{1 +- \sqrt{(-1)^2 - 4*10*9} }{20}\\x = \frac{1 +- \sqrt{1 - 360} }{20}\\x = \frac{1 +- \sqrt{-359} }{20}[/tex]

So roots are:

[tex]x = \frac{1 +\sqrt{359}i }{20} , x = \frac{1 -\sqrt{359}i }{20}[/tex]

Answer:

x = 15

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{MP}{XZ}[/tex] = [tex]\frac{NP}{YZ}[/tex] ( substitute values )

[tex]\frac{x+5}{30}[/tex] = [tex]\frac{4x-10}{75}[/tex] ( cross- multiply )

30(4x - 10) = 75(x + 5) ← distribute parenthesis on both sides

120x - 300 = 75x + 375 ( subtract 75x from both sides )

45x - 300 = 375 ( add 300 to both sides )

45x = 675 ( divide both sides by 45 )

x = 15

The representation that is the most appropriate for showing how the price changed each year is given by:

The second graph.

There are two steps to identify the correct graph, as follows:

The input and the output variables are given as follows:

As the input variable is graphed on the horizontal axis, while the output variable is graphed on the vertical axis, the first and the fourth graphs are incorrect, as they have each variable on the wrong axis.

The price keeps changing throughout the years, that is, the price does not remain constant throughout the year, meaning that the domain is continuous, and thus the graph is composed by a solid line.

This means that the second graph is the correct graph in this problem. (the solid, approximately horizontal line).

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The height of a player at 18 points average is 78 and the points per game a player averages if he is 70 inches tall is 7

From the question, we have the following parameters that can be used in our computation:

height (in) 84 80 79 82 74 72 86 76

points per game 22 21 21 26 12 8 28 15

Using a graphing calculator, we have the following calculation summary

The regression equation is represented as

p = bh + a

Where

b = SP/SSX = 224.88/166.88 = 1.35

a = MY - bMX = 19.13 - (1.35*79.13) = -87.5

So, we have

p = 1.35h - 87.5

At a point of 18, we have

1.35h - 87.5 = 18

So, we have

1.35h = 105.5

Divide by 1.35

h = 78

This means that

h = 70

So, we have

p = 1.35 * 70 - 87.5

Evaluate

p = 7

Hence, the point is 7

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If the measure of the five angles are 140° each , then the measure of sixth angle of hexagon is 20° .

What is a Hexagon ?

The hexagon is defined as the  two dimensional closed polygon that have six sides, 6 vertices and 6 angles .

the measure of the 5 angles of hexagon is =  140° each ;

which means that the sum of measure of 5 angles is = [tex]5 \times 140[/tex] = 700° ;

and we know that the sum of all 6 angles of the hexagon is 720° ;

let the measure of the sixth angle be = x ;

So , [tex]700 + x = 720[/tex] ;

⇒ [tex]x = 720-700 = 20[/tex] .

Therefore , the measure of sixth angle is 20° .

The given question is incomplete , the complete question is

A hexagon has five angles that measure 140° each. What is the measure of the sixth angle ?

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The value of expression  (√3+1)(1-2√3)​ is -5-√3

An expression is combination of variables, numbers and operators.

The given expression is (√3+1)(1-2√3)​

Square root three plus one times of one minus two root three.

(√3+1)(1-2√3)​

Now distribute each terms

√3-2√3√3+1-2√3

√3-2(3)+1-2√3

Add the like terms

√3-6+1-2√3

√3-5-2√3

-5-√3

Hence, the value of expression  (√3+1)(1-2√3)​ is -5-√3

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The value of cos⁻¹(1/2) on the unit circle is 60°.

A circle with a radius of one unit is referred to as a unit circle. In the Cartesian coordinate plane, the unit circle is typically depicted. The second-degree equation with the variables x and y is used to algebraically represent the unit circle.

Given:

cos⁻¹(1/2)

As we know that for the unit circle, the value of the radius is 1,

Calculate the value of cos x as shown below,

cos x = radius of the circle / √(r² + p²)

cos x = 1 / √(1² + 1²)

cos x = 1 / √2

x = cos⁻ (1 / √2)

x = 45°

Thus, cos⁻¹(1/2) = 60°

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The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

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Can you please re-post a clear image to get the correct and instant answer?

Answer:

i don't know if this is right but i think it may be 5n-23y or -23y+5n

Step-by-step explanation:

Rays and angles are related because when two rays share a common endpoint, they form an angle

An angle's measure serves as its definition; it is independent of the angle's side lengths. A ray is a segment of a line where one point is fixed and the other has no end.

The combination of two rays with the same endpoint is called an angle. The vertex of the angle is the common endpoint of the rays, which are referred to as the sides of the angle. The distance between the rays is how an angle is measured.

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Complete question

How are rays and angles related?

The expression that represents the total cost of games after w weeks is 1000w + 2000wg.

The cost, in dollars, for a video game developer to code g games can be represented by the function v(g) = 500 + 1000g. The number of games produced in w weeks is given by the function g(w) = 2w.

The expression that represents the total cost of games after w weeks can be represented as follows;

Therefore,

v(g) = 500 + 1000g

g(w) = 2w.

total cost = v(g) × g(w)

total cost = (500 + 1000g)2w

Therefore,

total cost = 1000w + 2000gw

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Depends on the specific values of x, y, and the step size h used in the approximation.

What is differentiation ?

Differentiation is a concept in calculus that involves finding the rate of change of a function with respect to one of its variables. It is represented by the symbol ∂/∂x or ∂/∂y or ∂/∂t (where x, y and t are the variables of the function). The process of differentiation allows us to find the slope of a curve, the instantaneous rate of change, and the maximum or minimum points of a function.

The difference between dy and δy can be determined by subtracting dy from δy. The accuracy of dy in approximating δy depends on the specific values of x, y, and the step size h used in the approximation.

For example, if we consider dy = (f(x+h, y+k)-f(x,y))/h, and δy= f'(x)*δx.

Where f(x,y) is the given function for the system of differential equations and f'(x) is the derivative of the function f(x,y) with respect to x.

so the difference between dy and δy is δy-dy= f'(x)*δx - (f(x+h, y+k)-f(x,y))/h.

The accuracy of dy in approximating δy can be determined by taking the limit of the difference as h approaches 0.

In the end, it all depends on the specific problem and desired level of accuracy.

Depends on the specific values of x, y, and the step size h used in the approximation.

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Answer:

6,340

Step-by-step explanation:

Follow the steps in the image.

-Hope this helped

Answer: 4.68555772

Step-by-step explanation:

The correct equation which models the sentence will be;

⇒ x/4 - 10 = 6

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''Ten less than the quotient of a number and 4 is 6.''

Now,

Since, The algebraic expression is,

''Ten less than the quotient of a number and 4 is 6.''

Let a number = x

Hence, The mathematical expression is,

⇒ x/4 - 10 = 6

Solve for x as;

⇒ x/4 = 10 + 6

⇒ x/4 = 16

⇒ x = 16 × 4

⇒ x = 64

Thus, The value of number = 64.

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Answer:

19.8x-11.1y

Step-by-step explanation:

1) We can rephrase the equation as:

25x+0.9y-12y-5.2x

2) Simplify:

19.8x-0.9y-12y

3) Solve: 0.9y-12y= -11.1y

And the just put that next to 19.8 and you are done

The statements that complete the blanks are underlined as follows

From the question, we have the following parameters that can be used in our computation:

The graph

The given graph is a quadratic graph

All quadratic graphs are functions

So, the relation is a function

This statement is false,

This is so because one y value points to two different x values, as evident on the graph

As a general rule, the inverse of a quadratic function is not a function

This means that the inverse of the given relation is not a function

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Answer:

answer is d

Step-by-step explanation:

The solution is Option B.

An investment of $300 gaining compound interest at a rate of 4% can be modeled by the equation B = 300 x ( 1.04 )ⁿ , where n = t

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the amount to be invested be represented as P

The value of P = $ 300

Let the final amount be represented as A

Let the time period be = n = t

Let the rate of interest be represented as r = 4 %

r = 4/100

The value of r = 0.04

Now , the compound interest is calculated by the equation ,

A = P ( 1 + r/n )ⁿᵇ

Substituting the values in the equation , we get

A = 300 ( 1 + 0.04 )ⁿ

On simplifying the equation , we get

A = 300 ( 1.04 )ⁿ

where n = t = number of years

Hence , the equation is 300 x 1.04^t

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Answer:

--12°

Step-by-step explanation:

12 below can be written as the negative number -12