Find the surface area of a triangular prism (which has 2 triangular bases and 3 rectangular sides) with the following dimensions:

Base of triangles= 4 in

Height of triangles = 3 in

Length of rectangles = 10 in

Width of rectangles = 5 in

The changes that Jason should make are:

1. Plan a trip not during the tourist season.

2. In place of renting car, use transportation services of the country.

3. He should go to other places to find a nice hotel.

The solution has been obtained by using cost planning.

What is cost planning?

Estimating expenses, establishing an agreed-upon budget, and managing actual and projected expenditures in relation to that budget are all parts of cost planning and control.

The changes that Jason should make are:

1. Plan a trip not during the tourist season. This is because during the tourist season prices are high.

2. In place of renting car, use transportation services of the country. This is because the local transport will cost him less that the rental.

3. He should go to other places to find a nice hotel. This is because central Turkey is costly and he might find a nice hotel in other areas in less price.

Hence, the required solution has been obtained.

Learn more about costs from the given link

https://brainly.com/question/28973648

#SPJ1

The height of the rectangular prism is 8 inches.

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The volume of a rectangular prism is expressed as;

V = w × h × l

Where w is the width, h is height and l is length

Given that:

Volume V = 241.92 in³

Length l = 5.6 in

Width w = 5.4 in

Height h = ?

Plug the given values into the above formula and solve for h

V = w × h × l

h = V / ( w × l )

h = 241.92 in³ / ( 5.4 in × 5.6 in )

h = 8 in

Therefore, the height is 8 inches.

Learn more about prism here: https://brainly.com/question/9796090

#SPJ1

The model predicts that the population of the inner-city area will be 107,079 people in 7 years

The number of inhabitants in a given region is characterized as the quantity of individuals normally living around there, estimated on 1 January in a given year.

The given model for the number of inhabitants in the rough part of town region is:

P(t) = 108,000 - 0.011t

where t is the number of years from the present and P(t) is the estimated population at time t.

To find the predicted population in 7 years, we can substitute t=7 into the given model and evaluate:

P(7) = 108,000 - 0.011(7)

P(7) = 108,000 - 0.077

P(7) = 107,923

As a result, the model projects that the inner-city area will have a population of 107,079 people in seven years, rounded to the nearest person.

know more about area visit :

https://brainly.com/question/27683633

#SPJ1

Answer:

This is a right angle

Step-by-step explanation:

There is a square inside of the triangle.

The value -5°C represents the temperature outside as measured by the digital thermometer in Olivia's car.

In this context, the value -5 represents the temperature outside in Celsius degrees.

The minus sign indicates that the temperature is below freezing point. The Celsius scale is a temperature scale that uses the freezing point of water (0°C) and the boiling point of water (100°C) at standard atmospheric pressure as its reference points.

Thus, a temperature of -5°C means that it is five degrees Celsius below the freezing point of water.

The negative sign indicates that the temperature is below zero degrees Celsius, which is the freezing point of water.

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

An equivalent expression to 18sin^2(x)cos^2(x) that does not contain powers of trigonometric functions greater than 1 is 9 - 9cos(4x)/8.

The power-reducing formulas state that:

sin^2(x) = (1 - cos(2x))/2

cos^2(x) = (1 + cos(2x))/2

Using these formulas, we can rewrite the expression 18sin^2(x)cos^2(x) as:

18sin^2(x)cos^2(x) = 18[(1 - cos(2x))/2][(1 + cos(2x))/2]

Expanding the right-hand side of the equation, we get:

18[(1 - cos^2(2x))/4]

Using the identity cos^2(2x) = (1 + cos(4x))/2, we can simplify further:

18[(1 - (1 + cos(4x))/2)/4] = 9 - 9cos(4x)/8

Therefore, an equivalent expression to 18sin^2(x)cos^2(x) that does not contain powers of trigonometric functions greater than 1 is 9 - 9cos(4x)/8.

learn more about power-reducing formulas: https://brainly.com/question/17074515

#SPJ1

Answer: no answer

Step-by-step explanation:

As per the question of trigonometry the another equation that describes the given graph is

y = -cos5x. And after verifying the equation given in the question as well as the new equation we conclude that both equations are equal.

The sine and cosine function graphs' main characteristics are:  

a. We can use trigonometric identities to simplify the given equation in order to describe the graph using a different equation.

b. We can simplify the following equation and compare it with  [tex]y = -cos(5x)[/tex]to see if the two equations are equivalent.

We obtain this by applying the same trigonometric identity as before.

To know more about trigonometric functions visit:

https://brainly.com/question/6904750

#SPJ1

Therefore , the solution of the given problem of expressions comes out to be points X(-2,4), Y(-4,4), and Z(4,2) would be X'(-2,4), Y'(-3,-1), and Z'(0,3).

Instead of using random estimates, shifting variable numbers should be employed instead, which can be growing, diminishing, or blocking. They could only help one another by transferring items like tools, knowledge, or solutions to issues. The explanations, components, or mathematical justifications for strategies like expanded argumentation, debunking, and blending may be included in the explanation of the reality equation.

Here,

Figure XYZ will be scaled down by 1/4, with the centres being X(-2,4), Y(-4,4), and Z(4,2)

=>  Old_x - Center_x - Scale_factor * New_x + Center_x

=>  Scale factor * (Old y - Centre y) + Centre y = New y

Regarding X:

=>  New_x = 1/4 * (-2 - (-2)) + (-2) = -2

=>  New_y = 1/4 * (4 - 4) + 4 = 4

Therefore, X'(-2,4) is the image of point X after dilation.

Regarding Y:

=>  New_x = 1/4 * (-4 - (-2)) + (-2) = -3

=>  New_y = 1/4 * (-4 - 4) + 4 = -1

Therefore, Y'(-3,-1) is the image of point Y following dilation.

Regarding Z:

=> New_x = 1/4 * (4 - (-2)) + (-2) = 0

=> New_y = 1/4 * (2 - 4) + 4 = 3

Therefore, Z'(0,3) is the image of point Z after dilation.

As a result, the image points for the dilated figure XYZ with the centre points X(-2,4), Y(-4,4), and Z(4,2) would be X'(-2,4), Y'(-3,-1), and Z'(0,3).

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

The equation of the line in slope-intercept form is:

y = 4x + 9

The slope-intercept form of the equation of a line is:

y = mx + b

where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

In this case, we know that the line passes through the point (-4, -7) and has a slope of 4. So, we can plug in the values of x, y, and m into the slope-intercept form and solve for b:

-7 = 4(-4) + b

Simplifying the right side:

-7 = -16 + b

Adding 16 to both sides:

9 = b

So the y-intercept is 9. Therefore, the equation of the line in slope-intercept form is:

y = 4x + 9

to know more about equation

brainly.com/question/29657983

#SPJ1

We know that with the new piece of data for the month of June the median is increased by 3.5 which is now 251.5.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.

It could be referred to as "the middle" value for a data set.

A data set's median value is the point where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it.

Arrange in ascending order:

229 234 248 255 263

When, odd terms are there then the middle term is the median:

Median: 248

New Median:

229 234 248 255 263 597

When there are even terms we will add the middle two terms and divide it by 2 as follows:

248+255/2

Median: 251.5

Median change: 251.5 - 248 = 3.5

Therefore, we know that with the new piece of data for the month of June the median is increased by 3.5 which is now 251.5.

Know more about the median here:

https://brainly.com/question/26177250

#SPJ1

a) The probability that an American chosen at random died as a passenger car occupant last year is 0.0042.

b) The probability that you died as a passenger car occupant last year is 0.0042

c) The probability that you will die as a passenger car occupant next year P(C) is 0.0042.

d) The probability that an American chosen at random will die as the result of a tornado next year is 0.0000018

e) The probability that you will die as the result of a tornado next year is 0.0000018

The given probabilities are determined as follows:

The probability that an American chosen at random died as a passenger car occupant last year is:

P(A) = 13,100 / 312,000,000

P(A) = 0.0042

b) The probability that you died as a passenger car occupant last year is:

P(B) = 13,100 / 312,000,000

P(B) = 0.0042

c) The probability that you will die as a passenger car occupant next year P(C) would be 0.0042 since the values do not change.

d) The probability that an American chosen at random will die as the result of a tornado next year is:

P(D) = 553  / 312,000,000

P(D) = 0.0000018

e) The probability that you will die as the result of a tornado next year, P(E) = 0.0000018

Learn more about probability at: https://brainly.com/question/24756209

#SPJ1

The ceiling function, denoted by ⌈x⌉, gives the smallest integer that is greater than or equal to x. Therefore, ⌈-0.75⌉ is the smallest integer that is greater than or equal to -0.75.

Since -1 is the smallest integer that is greater than or equal to -0.75, we have:

⌈-0.75⌉ = -1

Therefore, the functional value for the ceiling function at -0.75 is -1.

The answer is option A.

Answer:

24.6 degrees.

Step-by-step explanation:

To find the degree measure of the radians in a right triangle with hypotenuse = 7 and opposite = 3, we need to use trigonometric ratios. Since the opposite and hypotenuse are given, we can use the sine ratio.

sin(θ) = opposite/hypotenuse

sin(θ) = 3/7

Now we need to find the angle measure θ. We need to use the inverse sine or arcsine function to do this.

θ = sin^-1(3/7)

θ ≈ 0.429 radians

To find the degree measure, we must convert radians to degrees by multiplying by 180/π.

θ ≈ 0.429 x 180/π

θ ≈ 24.6 degrees

Therefore, the degree measure of the radians in the given triangle is approximately 24.6 degrees.

a) Jill receives £45

b) Jack receives £20 the following Christmas

c) Jack will be 5/4 years old, which is equivalent to 1 year and 3 months when he receives £25 from Uncle Fred.

Explain the term years

Years are a unit of time measurement used to quantify the duration of one complete orbit of the Earth around the sun. A year consists of 365 days, except in a leap year when an extra day is added. The concept of a year is used in various fields, including astronomy, geology, and history.

According to the given information

(a) Let's first find the total ratio of their ages:

1 + 3 = 4

So Jack's share will be:

1/4 x £60 = £15

And Jill's share will be:

3/4 x £60 = £45

Therefore, Jill receives £45.

(b) The next Christmas, Jack will be 2 and Jill will be 4. We can use the same ratio to find Jack's share:

2/6 x £60 = £20

So Jack receives £20.

(c) Let x be the age of Jack when he receives £25 from Uncle Fred. We know that:

1/4 x £60 = £25

Multiplying both sides by 4/60, we get:x = 5/4

So Jack will be 5/4 years old, which is equivalent to 1 year and 3 months, when he receives £25 from Uncle Fred.

To know more about years visit

brainly.com/question/14510285

#SPJ1

The shape resulting from a horizontal cross section, a vertical cross section, and an angled cross section of the cube are:

horizontal cross section: square.

vertical cross section: square.

angled cross section: rectangle.

In this exercise, you are required to use a graphing tool to investigate and determine the cross-sections of the given three-dimensional geometric object (cube), by passing different planes through them.

By critically observing the cross-sections of the three-dimensional geometric object (cube) I used, we can reasonably infer and logically deduce the following types of quadrilateral based on the cross-sections;

A horizontal cross section would produce a square.

A vertical cross section would produce a square.

An angled cross section would produce a rectangle.

Read more on cross-sections here: https://brainly.com/question/1924342

#SPJ1

The attendance at the movie theatre is;

Children = 142

Students = 44

Adults = 71

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Here, we have

Given:

Seating capacity = 257

Charges: Children = $5.00; Students = $7.00; Adults = $12.00

Total sales of ticket = $1870

A number of children, students, and adults were present in the theatre.

Let A, C, and S represent adults, children, and students respectively.

There are half as many adults as there are children; this means that

A = ½C

If the total seat capacity is 257, then

A + C + S = 257

Also, if the total sales of tickets are $1870, then

12A + 7S + 5C = 1870

So, we have two equations to be solved simultaneously.

A + C + S = 257 --- (1)

12A + 7S + 5C = 1860 --- (2)

Substitute ½C for A in (1) and (2)

½C + C + S = 257

Multiply both sides by 2

2(½C + C + S) = 2 * 257

C + 2C + 2S = 514

3C + 2S = 514 ----- (3)

12(½C) + 7S + 5C = 1870

6C + 7S + 5C ,= 1870

6C + 5C + 7S = 1870

11C + 7S = 1870 --- (4)

Make S the subject of the formula in (3)

2S = 514 - 3C

S = ½(514 - 3C)

S = 257 - 1.5C

Substituton 257 - 1.5C for S in (4)

11C + 7(257- 1.5C) = 1870

11C + 1799 - 10.5C = 1870

Collect like terms

11C - 10.5C = 1870 - 1799

0.5C = 71

Multiply both sides by 2

2 * 0.5C = 2 * 71

C = 142

Recall that

S = 257 - 1.5C

S = 257 - 1.5(142)

S = 257 - 213

S = 44

Also, recall that

A = ½C

A = ½ * 142

A = 71

Hence, the attendance at the movie theatre is;

Children = 142

Students = 44

Adults = 71

To learn more about the arithmetic from the given link

https://brainly.com/question/28369191

#SPJ1

1. The equation for the function is defined as follows: g(x) = (1/3)^x - 2.

2. The range of the function is given as follows: The set of real numbers less than -5.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

For item 1, the function has an horizontal asymptote at y = -2, hence it is defined as follows:

y = a(1/3)^x - 2.

When x = 0, y = -1, hence the parameter a is obtained as follows:

-1 = a - 2

a = 1.

Thus the function is:

g(x) = (1/3)^x - 2.

For item 2, we have that the function is:

Hence the range of the function is given as follows:

The set of real numbers less than -5.

More can be learned about exponential functions at brainly.com/question/2456547

#SPJ1

The solid displayed in the image is a trapezoidal prism.

A trapezoidal prism is a three-dimensional solid with two parallel trapezoids as its bases, and rectangular or parallelogram sides connecting them. The top and bottom faces are identical, and the side faces are parallelograms.

To classify the solid, look at its properties. The solid has two parallel trapezoids as its bases, and the side faces are parallelograms. Therefore, it is a prism.

Since the bases are not identical rectangles or squares, it is not a rectangular or square prism. However, since the bases are trapezoids, it is a trapezoidal prism.

Find out more on trapezoid prism here: https://brainly.com/question/2234926

#SPJ1

The correct answer is B) |x| > 6 for the given statement

What is meant by the statement?

A statement is a declarative sentence that can be either true or false. It is a proposition that can be proven using logical reasoning or evidence. Statements are the building blocks of mathematical proofs and are used to establish the truth of mathematical theories and concepts.

According to the given information

The statement “the absolute value of x is greater than 6” can be expressed as an inequality in the following way:

|x| > 6

This means that the distance between x and 0 on the number line is greater than 6 units. In other words, x can be any number that is either less than -6 or greater than 6.

To know more about statement visit

brainly.com/question/10705953

#SPJ1

Answer:

[tex]\huge\boxed{\sf Yes.}[/tex]

Step-by-step explanation:

In a right angled triangle, the longest side is called hypotenuse.

So,

Hypotenuse = 13 m

The rest are:

Base = 5 m

Perpendicular = 12 m

Using Pythagoras Theorem to verify:

[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]

Put the given data

(13)² = (12)² + (5)²

169 = 144 + 25

Since, both left hand side and right hand side are equal, this means the triangle is a right-angled triangle.

[tex]\rule[225]{225}{2}[/tex]

The ratio of the width to the length of the cell phone is 23/65.

Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

To find the ratio of the width to the length of the cell phone, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Learn more about ratio here: https://brainly.com/question/25927869

#SPJ1

3. The value of the function (f+g)(x) is option A: 3x+5. 4. The value of: (f·g)(x) is Option C: 2x² + 10x.

The function that results from summing the results of the two functions for a specific input value x is known as the sum of two functions (f+g)(x). To put it another way, we just add the function values at each x-axis point. The function that results from multiplying the outputs of the two functions for an input value x is known as the product of two functions (fg)(x). In other words, we multiply the values of the function at each x-axis position. Two functions can be combined or multiplied to create new functions, each of which has a unique set of attributes.

Given that, f(x)=x+5 and g(x)=2x.

3. The value of (f+g)(x) is:

f(x + g) (x)= f(x) + g(x) = (x+5) + 2x = 3x+5

4. The value of:

(f·g)(x) = f(x) · g(x) = (x+5) · 2x = 2x² + 10x

Learn more about composite function here:

https://brainly.com/question/30143914

#SPJ1

The maximum value of the sequence is [tex]1/6[/tex], the minimum value is 0, the supremum is [tex]1/2[/tex], and the infimum is 1/6.

The given sequence is: [tex]{1/(2 ^ n) + ((- 1) ^ n)/(n + 1) / n * N}[/tex]

When [tex]n = 1,[/tex] the sequence evaluates to: [tex]1/2 + (-1)^1 / 2 * 2 = 0[/tex]

When [tex]n = 2,[/tex] the sequence evaluates to: [tex]1/4 + (-1)^2 / 3 * 2 = 1/6[/tex]

When [tex]n = 3,[/tex] the sequence evaluates to: [tex]1/8 + (-1)^3 / 4 * 2 = 7/96[/tex]

When [tex]n = 4,[/tex] the sequence evaluates to: [tex]1/16 + (-1)^4 / 5 * 2 = 17/240[/tex]

It appears that the sequence oscillates between positive and negative values, with the negative values getting smaller as n increases.

Therefore, the minimum value of the sequence is at n = 1, where it evaluates to 0.

The maximum value occurs at n = 2, where it evaluates to 1/6.

The term [tex]1/(2 ^ n)[/tex] has a lower bound of 0 and an upper bound of 1.

The term [tex]((- 1) ^ n)/(n + 1) / n * N[/tex] has a lower bound of [tex]-1/4[/tex] and an upper bound of [tex]1/4[/tex].

Therefore, the supremum of the sequence occurs when [tex]n = 1[/tex], where the sequence evaluates to [tex]1/2[/tex].

The infimum of the sequence occurs when [tex]n = 2[/tex], where the sequence evaluates to [tex]1/6.[/tex]

In summary, the maximum value of the sequence is [tex]1/6[/tex], the minimum value is 0, the supremum is [tex]1/2[/tex], and the infimum is [tex]1/6.[/tex]

Learn more about maximum and minimum values here:

https://brainly.com/question/14316282

#SPJ1

The first bag has a better unit price, at $7.01 per pound compared to $7.13 per pound for the second bag. Based on the unit price, the first bag is a better buy.

Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It involves the use of variables, which are represented by letters or other symbols, to represent unknown quantities and to formulate and solve equations and inequalities.

The fundamental operations of algebra include addition, subtraction, multiplication, and division, which are used to manipulate the variables and simplify expressions. Algebra also involves the use of exponents, which are used to represent repeated multiplication, and logarithms, which are used to represent the inverse of exponents.

Algebra is used in a wide range of applications, including science, engineering, economics, and statistics, to model and analyze various phenomena. It is also used as a tool for problem-solving and decision-making, and it provides a powerful framework for reasoning and abstraction in many areas of mathematics and beyond.

To find the unit price, we divide the total price of each bag by its weight:

For the first bag:

Unit price = Total price / Weight = 13.88 / 1.98 = 7.01 dollars per pound

For the second bag:

Unit price = Total price / Weight = 38.99 / 5.46 = 7.13 dollars per pound

Therefore, the first bag has a better unit price, at $7.01 per pound compared to $7.13 per pound for the second bag.

Thus, based on the unit price, the first bag is a better buy.

To know more about price visit:

https://brainly.com/question/21830732

#SPJ1

The complete question is:

Chau paid 13.88 for a 1.98- pound bag of shrimp at one store. The following week, he paid 38.99 for a 5.46 -pound bag at another store.

Find the unit price for each bag. Then state which bag is better buy based on the unit price.

Answer:

x = 50

Step-by-step explanation:

2x = 60+40

simply 60 + 40 to 100

so 2x = 100

and then divide 2 to get it to the other side.

like this = x = 100/2

then divide 100 by 2 and get 50

so x=50

Answer:

Step-by-step explanation:

7.3 is the anwser

A

Step-by-step explanation:

There is 1 number that is a multiple of both 3 and 4.

9 numbers are a multiple of 4 and not 3.

9 numbers are a multiple of 3 and not 4.

1 number is not a multiple of 3 or 4.

Hope this helps!

Answer:

38 stduentstudents

Step-by-step explanation:

2(100)=$200, if 100 students attend.

38(2)=$76

Breaking even means getting back the same amount you spent. The exact answer would be 37.5, but you can't have half a student.

Answer:

[tex] \frac{468}{14.4} = \frac{d}{16.8} [/tex]

[tex]32.5 = \frac{d}{16.8} [/tex]

[tex]d = 546[/tex]

Wyatt can drive 546 miles on a full tank (16.8 gallons) of gas.