Can you answer this? please?

.003

do normal division than add decimals

- can I have brainlist please

The error in the calculation is in adding up the wrong numbers. The three friends paid a total of $27 for the room ($9 each) and gave the porter a $2 tip, making the total expenses $29. The extra dollar is not missing, but it was never part of the expenses in the first place. The mistake arises from adding up the $27 they paid for the room with the $2 tip they gave the porter, which gives $29. However, this sum includes the $3 they got back from the hotel, which should not be included in the expenses since they received it back.

Another way to think about it is to subtract the $3 they got back from the $30 they paid initially. This gives $27, which is the amount they actually spent on the room. Then, when they added the $2 tip for the porter, the total expenses for the weekend were $29, as expected.

So, the mistake is not in the missing dollar, but in adding up the wrong numbers.

Answer:1st option

Step-by-step explanation:

The quadrilateral formed by the given vertices is a parallelogram based on the congruence of sides and angles.To determine the type of quadrilateral formed by the vertices W(-1,4), X(3,5), Y(4,1), and Z(0,0).

we can examine the properties and characteristics of the quadrilateral.

To identify the type of quadrilateral, we can consider its sides and angles.

1. Sides: We can calculate the lengths of the sides using the distance formula.

- Side WX = √[(3 - (-1))^2 + (5 - 4)^2] = √(16 + 1) = √17

- Side XY = √[(4 - 3)^2 + (1 - 5)^2] = √(1 + 16) = √17

- Side YZ = √[(0 - 4)^2 + (0 - 1)^2] = √(16 + 1) = √17

- Side ZW = √[(-1 - 0)^2 + (4 - 0)^2] = √(1 + 16) = √17

2. Angles: We can calculate the measures of the angles using the slopes of the sides.

- Angle WXY = arctan((5 - 4)/(3 - (-1))) ≈ 45.96°

- Angle XYZ = arctan((1 - 5)/(4 - 3)) ≈ -63.43° (Note: negative due to slope)

- Angle YZW = arctan((0 - 4)/(0 - (-1))) ≈ -75.96° (Note: negative due to slope)

- Angle ZWX = arctan((4 - 0)/(-1 - 0)) ≈ -90°

Based on the information above, we can conclude that the quadrilateral WXYZ is a parallelogram. This is because opposite sides are congruent (WX ≈ YZ and XY ≈ ZW), and opposite angles are congruent (WXY ≈ XYZ and YZW ≈ ZWX).

Therefore, the quadrilateral formed by the given vertices is a parallelogram based on the congruence of sides and angles.

To learn more about quadrilateral click here:

/brainly.com/question/31866616

#SPJ11

The three possible values for a are:

a = -5^(1/3)/2

a = (5^(1/3)/4) - (5^(1/3)/4)isqrt(3)

a = (5^(1/3)/4) + (5^(1/3)/4)isqrt(3)

To find the coefficient of x^3 in the expansion of (2+x)(3-ax)^4, we can use the binomial theorem or Pascal's triangle to expand the expression.

However, since we are only interested in the coefficient of x^3, we can use the following approach:

The coefficient of x^3 in the expansion of (2+x)(3-ax)^4 will be the sum of the products of the coefficients of x and x^3 in the two factors, i.e.,

coefficient of x^3 = (coefficient of x in 2+x) * (coefficient of x^3 in (3-ax)^4) + (coefficient of x^3 in 2+x) * (coefficient of x^2 in (3-ax)^4)

The coefficient of x in 2+x is 1, and the coefficient of x^3 in (3-ax)^4 can be found using the binomial theorem:

coefficient of x^3 in (3-ax)^4 = (4 choose 3) * (3)^1 * (-a)^3 = -36a^3

The coefficient of x^3 in 2+x is 0 since there is no x^3 term in 2+x.

The coefficient of x^2 in (3-ax)^4 can also be found using the binomial theorem:

coefficient of x^2 in (3-ax)^4 = (4 choose 2) * (3)^2 * (-a)^2 = 54a^2

Substituting these values into the equation above, we get:

30 = 1 * (-36a^3) + 0 * 54a^2

Simplifying, we get:

-36a^3 = 30

Dividing both sides by -36, we get:

a^3 = -5/6

Taking the cube root of both sides, we get:

a = -5^(1/3)/2

This is one possible value for a.

Since a^3 = (-5/6) has three cube roots (one real and two complex), there are two more possible values for a, which can be found by multiplying the real cube root by the complex cube roots of unity (which are -1/2 + isqrt(3)/2 and -1/2 - isqrt(3)/2):

a = (-5^(1/3)/2) * (-1/2 + i*sqrt(3)/2) = (5^(1/3)/4) - (5^(1/3)/4)isqrt(3)

a = (-5^(1/3)/2) * (-1/2 - i*sqrt(3)/2) = (5^(1/3)/4) + (5^(1/3)/4)isqrt(3)

Therefore, the three possible values for a are:

a = -5^(1/3)/2

a = (5^(1/3)/4) - (5^(1/3)/4)isqrt(3)

a = (5^(1/3)/4) + (5^(1/3)/4)isqrt(3)

Learn more about coefficient here: brainly.com/question/1038771

#SPJ1

The area of first area is (2t)^2*pi or whatever that variable is, I assume its t because its not clear.

The area to the second circle is t^2*pi

The area together is 80 which means

(4t^2+t^2)pi=80

5t^2pi=80

t^2pi=16

The radius of the smaller circle, t, will be 4/sqrt(pi) or 4sqrt(pi)/pi

So the larger circle has double the radius thus it will be

8/sqrt(pi) or 8sqrt(pi)/pi

This is the value, but if your teacher wants an approximate value just punch this into an calculator :) Hope it helps!

Answer:The area of first area is (2t)^2*pi or whatever that variable is, I assume its t because its not clear.

The area to the second circle is t^2*pi

The area together is 80 which means

(4t^2+t^2)pi=80

5t^2pi=80

t^2pi=16

The radius of the smaller circle, t, will be 4/sqrt(pi) or 4sqrt(pi)/pi

So the larger circle has double the radius thus it will be

8/sqrt(pi) or 8sqrt(pi)/pi

This is the value, but if your teacher wants an approximate value just punch this into an calculator :) Hope it helps!

Step-by-step explanation:

2 base cases required for recursive definition of the sequence.

To specify the sequence with a recursive definition, we need to determine the minimum number of base cases required. In this case, a base case refers to the initial values that are directly defined without relying on the recursive rule.

Let's analyze the given sequence: 1, 2, 2, 4, 8, 32, ...

We can observe that the first two numbers, 1 and 2, are provided directly. After that, each subsequent number in the sequence is obtained by multiplying the two preceding numbers. In other words, the recursive rule is defined as follows:

a(n) = a(n-1) * a(n-2)

Based on this rule, we can generate all the subsequent terms in the sequence. However, to start this recursive process, we need at least two initial values.

Therefore, the minimum number of base cases required to specify this sequence with a recursive definition is 2.

Learn more about Sequence

brainly.com/question/30262438

#SPJ11

The economy and business are benefited by peace and harmony, which eventually eliminates unemployment.

When people fight in the name of their faith, which eventually leads to the spread of communalism, peace and harmony are hampered. Inflation is the term for the increase in the cost of essential goods, and it is one of the major factors that disturbs the idea of peace and harmony.

The law plays a significant role in upholding an orderly and peaceful society in pluralistic countries where citizens do not all adhere to the same religion. People are free to practise the religion of their choice under the law. No one can be forced to adhere to a particular set of cultural values and customs. By law, all religions are given equal weight. No one is made to feel better or worse because of their religion. Anyone found to have discriminated against someone based on their religious background faces harsh legal penalties. They must respect everyone, regardless of their religion, socioeconomic status, or other similar characteristics, according to the law. It reduces the possibility that riots will break out due to cultural conflicts.

Visit here to learn more about the factor: https://brainly.com/question/14549998

#SPJ4

Sabrina's basis in her partnership interest immediately after contributing a building with an adjusted basis of $80,000 and a fair market value of $100,000 would be $100,000.

When Sabrina contributes the building to the partnership, her basis in her partnership interest is equal to the fair market value of the contributed property. In this case, the fair market value of the building is $100,000. Therefore, immediately after the contribution, Sabrina's basis in her partnership interest would also be $100,000.

The basis of a partner's interest in a partnership is important for determining the partner's share of partnership profits, losses, and distributions. It represents the partner's initial investment in the partnership and is adjusted over time based on various factors such as additional contributions, share of partnership income or losses, and distributions received.

In this scenario, since the fair market value of the building exceeds its adjusted basis, Sabrina's basis in her partnership interest is equal to the fair market value of the contributed property. This means that if the partnership were to sell the building for its fair market value, Sabrina would not recognize any gain on the sale for tax purposes.

Learn more about distribution here:

https://brainly.com/question/29664127

#SPJ11

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

Learn more about Integrate here : brainly.com/question/31744185

#SPJ11

math.ceil(5.5) evaluates to 6.

The CEILING. MATH function rounds a number up to the nearest integer or to the nearest multiple of specified significance. It also specifies whether the number is rounded toward or away from 0 depending on the mode. The ceiling function is a mathematical function that rounds a number up to the nearest integer. It is denoted by the symbol "⌈x⌉" and is also known as the least integer function or the smallest integer not less than x.

The ceiling function of a number x is defined as the smallest integer that is greater than or equal to x. Mathematically, we can express it as:

⌈x⌉ = the smallest integer n such that n ≥ x

For example, the ceiling function of 4.2 is 5, because 5 is the smallest integer that is greater than or equal to 4.2. Similarly, the ceiling function of -1.8 is -1, because -1 is the smallest integer that is greater than or equal to -1.8.

The ceiling function is commonly used in computer programming and engineering to round up values to the nearest integer.

learn more about ceiling function:https://brainly.com/question/29882189

#SPJ11

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

What is an angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

There is an angle of elevation from point R to S. Thus point R is lie above S.

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

To learn more about types of angles, click on the below link:

brainly.com/question/19375538

#SPJ1

There are 84 ways to buy two objects of different types.

To choose two objects of different types, we can choose one type of object first and then choose one object from that type and one object from the other two types.

The number of ways to choose one type of object is 3 (cups, saucers, or spoons). For each type of object, there are different numbers of objects to choose from:

So, the total number of ways to choose two objects of different types is:

3 x (5 x 4 + 5 x 2 + 4 x 2) = 3 x 28 = 84

Therefore, there are 84 ways to buy two objects of different types.

Learn more about multiply here : brainly.com/question/29793687

#SPJ1

The difference in the shortest collection times before and after the well installation is 20 minutes, calculated by subtracting the shortest time after installation (25 minutes) from before (45 minutes), as shown in the box and whiskers plot.

This is calculated by subtracting the shortest collection time after well installation (25 minutes) from the shortest collection time before well installation (45 minutes):

45 - 25 = 20 minutes.

This can be seen in the box and whiskers plot provided, where the lowest value for each distribution is denoted by the beginning of the whiskers.

So, the difference is before and after the well installation is 20 minutes.

To know more about box and whiskers plot:

https://brainly.com/question/15372634

#SPJ4

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

" What is the difference in minutes between the shortest collection times before and after the well was installed"--

Answer:

10

Step-by-step explanation:

You need to use the Pythagorean Theorem for this problem since you're solving for the lengths of a right triangle:

A right triangle is a triangle that has a 90-degree angle.

Let's say the side lengths are a, b, and c.

According to the Pythagorean Theorem, the way to relate a, b, and c is:

a^2 + b^2 = c^2   ==> c is the hypotenuse (the diagonal line on the triangle)

We already know a and b since they're given:

a=6 and b=8

Just apply these known values to the Pythagorean theorem:

6^2 + 8^2 = c^2  ==> solve for c

36 + 64 = c^2  ==> simplify

100 = c^2

c = 10  ==> take the square root on both sides

Answer: 10

 The sample we collect plays a cruciThe sample we collect can significantly affect our understanding of a population,

especially when it comes to making generalizations or drawing conclusions about the entire population based on the sample data. The key aspect in this regard is whether the sample is representative of the population.

A representative sample is one that accurately reflects the characteristics, diversity, and distribution of the population from which it is drawn. When our sample is representative, we can have greater confidence in generalizing the findings from the sample to the larger population. However, if our sample is not representative, our understanding of the population may be biased or limited.

In the provided example, the given data represents different age groups and their reported time spent with friends per day. If we were to collect a sample from this population, it would be crucial to ensure that the sample includes individuals from each age group in proportion to their representation in the population. This would help ensure that our sample accurately reflects the age distribution of the population.

If our sample is not representative, it may lead to inaccurate conclusions. For instance, if we only surveyed individuals from the age group 55-64 and ignored the other age groups, our understanding of the population's time spent with friends would be limited to that specific age group. We wouldn't be able to generalize our findings to the entire population because we would have missed important variations in behavior across other age groups.

To improve the representativeness of our sample, we could use random sampling techniques, such as simple random sampling or stratified sampling, to ensure that individuals from all age groups are included in the sample. By doing so, we can enhance our understanding of the population as a whole and make more accurate inferences.

In conclusion, the sample we collect plays a crucial role in shaping our understanding of a population. A representative sample enables us to make valid generalizations and draw reliable conclusions about the entire population. It ensures that the characteristics and diversity of the population are properly reflected in the sample, allowing for more accurate insights and informed decision-making.al role in shaping our understanding of a population

for more such question on population visit

https://brainly.com/question/30396931

#SPJ8

Answer:

y=mx+b

b= y intercept

mx=slope

First lets find the y intercept = the y intercept is 3

Now lets find the slope = the slope is 3x because each time it goes 3 up it goes one right

So the answer is y=3x+3

A research study variable that is believed to be related to the study's variable of interest is accurately described by each of the following terms except dependent.

Any variable employed in research that has a cause and effect relationship is referred to as a research variable (also known as a study variable) informally. An array of variables, including independent factors, dependent variables, and intervening variables, can be employed in a study, including research/study variables.

Independent and dependent variables are crucial in research since they provide the framework for a study to be carried out. Confounding factors, controlled variables, superfluous variables, and moderator variables are some other sorts of variables that could be used in a research.

To learn more about research variable from given link

https://brainly.com/question/7781679

#SPJ4

Given:

Dividend = \(2x^3-5x^2+x+2\)

Divisor = \(x-2\)

To find:

The quotient and remainder.

Solution:

We have,

Dividend = \(2x^3-5x^2+x+2\)

Divisor = \(x-2\)

Divide \(2x^3-5x^2+x+2\) by \(x-2\) as shown in the below picture.

Dividing \(2x^3-5x^2+x+2\) by \(x-2\), we get

\(Quotient=2x^2-x-1\)

\(Remainder=0\)

Therefore, \(Quotient=2x^2-x-1\) and \(Remainder=0\).

Answer:

x = (3.95 and -5.95)

Step-by-step explanation:

Given:

Hypotenuse = 9 cm

Perpendicular = (x+5) cm

Base = (x-3) cm

Find:

Value of x

Computation:

Using Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = [-b±√b²-4ac] / 2a

x = [-4±√16+376] / 2(2)

x = (3.95 and -5.95)

Answer:

66

Step-by-step explanation:

multiply both sides by 6 and get x=11x6=66

The size of the angle x is 330°

Angle geometry is a branch of mathematics that deals with the study of angles and their properties. Angles are formed when two lines or line segments intersect or when a line segment meets a point.

Angle geometry involves the measurement of angles, the relationships between angles, and the properties of angles in different shapes and figures.

The sum angle at a point is equal to 360 degrees. Thus, we can say:

x + 30° = 360°

x = 360° - 30°

x = 330°

Learn more about the angle geometry on:

https://brainly.com/question/25770607

#SPJ1

Answer:

17r = 595 is the answer

Step-by-step explanation:

Answer:

A) 17r = 595 is the correct equation.

Step-by-step explanation:

We have to find the no. of rooms on each floor.

If there are 'r' rooms, and in 17 floors there are a total of 595 rooms,

We can represent it in the following equation:

17r = 595

r = 595/17

r = 35

∴ There are 35 rooms on each floor

In probability , 5148 possible flushes in poker.

What is probability in math?

there are C(13,5) 5-card hands… i.e.

the number of combinations of taking 5 cards from 13 distinct cards.

But, since there are 4 suits, there are then 4*C(13,5) possible “flushes.”

Thus, there are 4*1287=5148 possible flushes in poker.

Learn more about probability

brainly.com/question/11234923

#SPJ4

The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.

It is given that the value of p and q is a prime number, and p<q.

But it is also given that the value of both should be less than 18 as well as a prime number.

Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.

And it is also given that p<q.

Now we have to find the value of p + q which is odd but not a prime number.

To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.

So

p + q = 2 + 5 = 7, which is odd but it is prime

Now again, q = 7

p + q = 2 + 7 = 9 , which is odd as well as not prime.

Again take q = 11

p + q = 2 + 11 = 13, which is odd but prime

Now take q = 13

p + q =  2 + 13 = 15, which is odd as well as not prime.

Now take q = 17

p + q = 2 + 17 = 19, which is odd and prime.

Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.

To know more about the prime number refer to the link given below:

https://brainly.com/question/792663

#SPJ1

The vector perpendicular to the level curve of g that passes through the point (2.4, 3) is (-0.2083, -0.1667).

To find a vector perpendicular to the level curve of g that passes through the point (2.4, 3), we first need to determine the equation of the level curve of g at point (2.4, 3).

Let's assume that g(x,y) = z. Then, the level curve of g at point (2.4, 3) is given by the equation g(x,y) = g(2.4, 3) = z_0, where z_0 is a constant.

Next, we need to find the gradient of g at point (2.4, 3), which is a vector that points in the direction of the greatest increase of g at that point. The gradient of g is given by the partial derivatives of g with respect to x and y, i.e.,

grad(g) = (dg/dx, dg/dy)

We can use the gradient vector to find a vector perpendicular to the level curve of g at point (2.4, 3). The vector we want is the negative reciprocal of the gradient vector, which is given by

v = (-1/dg/dx, -1/dg/dy)

So, all we need to do now is to evaluate the gradient of g and plug in the values at point (2.4, 3).

Let's assume that g(x,y) = x^2 + y^2. Then,

dg/dx = 2x

dg/dy = 2y

At point (2.4, 3), we have

dg/dx = 2(2.4) = 4.8

dg/dy = 2(3) = 6

So, the gradient of g at point (2.4, 3) is

grad(g) = (4.8, 6)

The vector perpendicular to the level curve of g at point (2.4, 3) is then

v = (-1/4.8, -1/6) = (-0.2083, -0.1667)

Learn more about normal vectors of curve: https://brainly.com/question/29752499

#SPJ11

Answer:

35

Step-by-step explanation:

Add them together and then divide

Answer:

b + b + h + h

Step-by-step explanation:

You are finding the perimeter of the given rectangle. Note that by definition of a rectangle, the opposite parallel sides will have the same measurement. In this case, Terrance gives the expression of 2b + 2h, and so simply just expand the expression:

2b + 2h = b + b + h + h

~

Answer:

2p²-5p+3 is the final answer as they aren't any like terms to collect in order to simply the solution further.

Step-by-step explanation:

Wishing you a splendiferous day,

stay salty...

The width of the photograph is approximately 10.5 inches.

Let's first write an expression for the length of the photograph in terms of its width

Length = Width + 6 inches

And we know that the area of the photograph is given by

Area = Length × Width

Substituting the expression for the length, we get

Area = (Width + 6) × Width

Simplifying this expression, we get

Area = Width^2 + 6 Width

We are given that the area of the photograph is 132 square inches. So we can set up an equation

132 = Width^2 + 6 Width

Rearranging this equation, we get a quadratic equation in standard form

Width^2 + 6 Width - 132 = 0

Now we can solve for the width using the quadratic formula

Width = (-6 ± √(6^2 - 4(1)(-132))) / (2(1))

Width = (-6 ± √(1416)) / 2

We can simplify this expression

Width = (-3 ± √354)

Since the width must be positive, we can discard the negative solution

Width = (-3 + √354) ≈ 10.5 inches

Learn more about area here

brainly.com/question/20693059

#SPJ4