please answer fast i need this hw done

The surface area of the given prism is 3744 square cm.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

Here the prism contains six surfaces out of these two are trapezoidal and the other is rectangular so the total surface area will be the sum of the area of the trapezoid and the rectangles.

The surface area will be calculated as,

SA = 2 [(24/2)(29+12) + ( 12 x 30 ) + ( 26 x 30 ) + ( 25 x 30 ) + ( 29 x 30)

SA = 984 + 360 + 780 + 750 + 870

SA = 3744 square cm

Therefore, the total surface area will be 3744 square cm.

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Answer: Use the second equation, add the y on both sides to get x= y +14. Then plug in y+14 to the x in the first equation and solve. Take the solution of that to get y and plug it into the second equation to find the value of x.

Step-by-step explanation:

The estimated solution of the system of equations is (55/13, 87/6).

The graph of the system of equations is given below.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

y = 3x - 6 _____(1)

y = (2/5)x + 5 ______(2)

From (1) and (2) we get,

3x - 6 = (2/5)x + 5

3x - (2/5)x = 5 + 6

(15x - 2x) / 5 = 11

13x / 5 = 11

13x = 55

x = 55/13 substituting in (1)

y = 3 x 55/13 - 6 = 165/13 - 6 = (165 - 78) / 6 = 87/6

The solution is (55/13, 87/6)

The graph is given below.

Thus,

The solution is (55/13, 87/6).

The graph is given below.

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The scale of 40 cm and 15 mm will be 80 mm : 3 mm

A scale drawing is an enlargement of an object. An enlargement changes the size of an object by multiplying each of the lengths by a scale factor to make it larger or smaller. The scale of a drawing is usually stated as a ratio.

If we were to create a real size map of a house it would be a HUGE map. We wouldn't be able to grab it using our hands, and it wouldn't be useful either. The idea of a map is to have a diagrammatic representation of something.

scale of 40 cm and 15 mm

converting 40 cm to mm

40 x 10 mm = 400 mm

400 mm : 15 mm

Dividing through by 5

80 mm : 3 mm

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The formula of the sinusoidal function is given as follows:

y = 3sin(0.6πx) - 6.

The sinusoidal function intersects the midline at x = 0, meaning that it is modeled by a sine function.

The standard definition of the sine function is given as follows:

y = Asin(Bx) + C.

For which the parameters are given as follows:

The midline is at y = -6, while the minimum point is at y = -9, hence the amplitude of the function is given as follows:

A = -6 - (-9)

A = 3.

A sinusoidal function with amplitude 3 should oscillate between -3 and 3, while it oscillates between -3 and -9, hence the vertical shift is given as follows:

C = -6.

The distance from the midline to the minimum value is of 3/4 of the period, hence the period is of:

3/4P = 2.5

P = 4 x 2.5/3

P = 10/3.

This means that the parameter b is obtained as follows:

2π/B = 10/3

10B = 6π

B = 0.6π

This means that the function is defined as follows:

y = 3sin(0.6πx) - 6.

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Simpson's Paradox makes this claim possible.

The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observed when the portions are joined together is known as Simpson's paradox.

Whereby the data for calculating the batting averages as found online are given as follows:

Season                      Derek Jeter                           David Justice

1995                           12/48 = 0.250                         104/411 ≈ 0.253

1996                           183/582 ≈ 0.314                      45/140 ≈ 0.321

The overall hits to the overall bat's ratio are:

(183 + 12)/(582 + 48) ≈0.310   (104+45)/(411+140) = 0.27

This shows that  Derek Jeter's overall average was better than Justice's average.

Thus, Simpson's Paradox makes this claim possible.

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As per the given average, the team statistician claims Jeter's overall average was better than Justice's average is 0.27

Here we have given that the following table of data is presented

Time,                       Score of Derek Jeter               Score of David Justice

At 1995,                         ≈  0.250                                     ≈ 0.253

At 1996,                          ≈ 0.314                                      ≈ 0.321

Then the overall score for Derek Jeter is calculated by

=>  (183 + 12)/(582 + 48) ≈0.310  

And the overall score for  David Justice is calculated as

=> (104+45)/(411+140) = 0.27

Here the resulting values shows that  Derek Jeter's overall average was better than Justice's average  

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The solution that is correct is B. Amy is correct because adding the decimals and then adding the exponents is not the correct procedure for adding numbers in scientific notation.

Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It is also called standard form or standard index form e.g  1000000 = 10⁶ and 0.0001 = 10⁻⁴

(8.0 × 10⁷) + (6.2 × 10³) = (80000 × 10³) + (6.2 × 10³)

                                     = (80000 + 6.2) × 10³

                                     = 80006.2 × 10³

                                     = 8.00062 × 10⁷

Thus, Amy is correct because adding the decimals and then adding the exponents is not the correct procedure for adding numbers in scientific notation.

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The population of interest is: A. all people in Emerald, Queensland.

The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.

Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.

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The value of the value of limit [ff(x))] will be:  [tex]\lim _{x \rightarrow 2} f(f(x))=-1[/tex]

A limit in mathematics is the value that a function, output, or sequence approaches when an input, index, or other quantity approaches a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.

By evaluating the function at values close to x=0, we may determine the size of a limit, if one exists. We are unable to immediately determine a function value for x=0 since the outcome would have an unknown denominator.

We have been given

[tex]$$f(x)=\left\{\begin{array}{cc}-x^2+3 x+3 & \text { for } x < 2 \\6 & \text { for } x=2 \\8-\frac{3}{2} x & \text { for } x > 2\end{array}\right.$$[/tex]

We need to find the value of  [tex]$\lim _{\lambda \rightarrow 2} f(f(x))$[/tex]

We know [tex]\lim _{x \rightarrow 2} f(x)=f(2)=6[/tex]

Now [tex]$\lim _{x \rightarrow 2} f[f(x)]=\lim _{x \rightarrow 2} f(6)$[/tex]=f(6)

We can find from given range as follows:

[tex]f(6)=8-\frac{3}{2} x\\=8-\frac{3}{2} \times 6\\=8-9=-1[/tex]

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Answer:

10.224 hours =
10 hours 13 minutes 26.4 seconds

Step-by-step explanation:

24 hours x 42.6% = 10.224 hours

If we need to express in hours, minutes, seconds, then:

24 hours = 24 * 3600 = 86400 sec
86400 sec x 42.6% = 36806.4 sec

Hours:
36806.4 sec // 3600 sec = 10 hours
remainder: 36806.4 sec - 3600 sec x 10 hours = 806.4 sec

Minutes:
806.4 sec // 60 sec = 13 minutes
remainder: 806.4 sec - 13 minutes x 60 sec = 26.4 sec

Full answer: 10 hours 13 minutes 26.4 seconds

Answer:10.224

Step-by-step explanation:its what the calculator said when i put in 42.6 percent of 24

The most likely explanation for the difference in production between week 1 and week 2 is the addition of a chef.

Adding a chef could increase the number of dragon rolls and sashimi made per hour, as the chef would be able to help make the rolls faster.

The formula for calculating the difference in production between week 1 and week 2 is:

(Number of dragon rolls and sashimi produced in week 2 - Number of dragon rolls and sashimi produced in week 1) / Number of dragon rolls and sashimi produced in week 1

For example, if the anime sushi bar produced 100 dragon rolls and sashimi in week 1 and 150 dragon rolls and sashimi in week 2, then the difference in production between week 1 and week 2 would be:

(150 - 100) / 100 = 0.5

Therefore, the difference in production between week 1 and week 2 is 50%.

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The most likely explanation for the difference in production between week 1 and week 2 is the addition of a chef.

In this question we have been given that the anime sushi bar collects data on how many dragon rolls and sashimi are made per hour. dragon rolls take longer to make than sashimi.

We need to determine what might explain the difference in production between week 1 and week 2

Consider the following graph.

Adding a chef could increase the number of dragon rolls and sashimi made per hour, as the chef would be able to help make the rolls faster.

We can caculate the difference in production between week 1 and week 2 as:

Number of dragon rolls and sashimi produced in week 2 - Number of dragon rolls and sashimi produced in week 1

Since the production increased across the board at each level for both types of rolls, the difference in production is most likely due to adding a chef. If there was only one chef, one roll would increase and the other would decrease because they could only spend their time on one thing.

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57 beads out of 100 beads are brown in colour.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Brennan ordered a set of beads

He received 100 beads

57% of 100 beads were brown.

we need to find the number of beads which are brown.

Convert 57 % to the decimal value.

57/100=0.57

Now multiply 0.57 with 100

0.57×100=57

Hence, 57 beads out of 100 beads are brown in colour.

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The domain and range of the function whose vertex is (3,-2) are (-∞, +∞) and (-∞, 2] respectively.

What is a graph?

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

In the given graph, the vertex is (3, -2).

Since, the domain of the function shows the values of x,

The values of x can be all real numbers,

So, domain = (-∞, +∞)

And the range of the function shows the value of y,

In the graph, the value of y is less than or equal to 2,

So, range = (-∞, 2].

Therefore, the domain of the function is (-∞, +∞) and the range of the function is (-∞, 2].

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The height, in feet, of the fifth bounce=2.7579

On the 1st bounce, height = 6.1 feet

We were not given the initial height of the ball before the 1st bounce

2nd bounce:

height = 0.82 of the previous bounce

height = 0.82(6.1)

height=5.002

3rd bounce:

height = 0.82 of the previous bounce

previous bounce = 0.82(6.1)

height = 0.82(0.82 × 6.1)

height=4.10164

We can derive a formula for the nth bounce:

height=6.1(0.82)^n-1

h(n)=6.1(0.82)^n-1

To verify consider n=1

h(1)=6.1(0.82)^1-1

h(1)=6.1

To calculate the fifth bounce:

h(5)=6.1(0.82)^5-1

considering n=5

h(5)=6.1(0.45212176)

h(5)=2.7579

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The number that belongs in the green box is 34.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle

Angle A and C are congruent so if you wanted to set up an equation, that would be 2x + 112 = 180

subtract 32 from both sides

2x = 180-112

2x=68

Divide both sides by 2

x=34

You can check by adding 34 + 34 + 112 = 180

So angle C is 34

Hence, the number that belongs in the green box is 34.

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Answer:

B True

Step-by-step explanation:

The cuneiform was a system of writing that used wedge-shaped symbols, and it was developed by the ancient Sumerians in Mesopotamia, which is often referred to as "the land between the rivers" because it is located between the Tigris and Euphrates rivers. Cuneiform was used for a variety of purposes, including recording laws, keeping track of business transactions, and recording historical events. It was one of the earliest systems of writing in the world, and it continued to be used in various forms for over three thousand years.

An octagon has eight angles and all of them are right angles.

Answer:

An actual octagon doesn't have any right angles (90°) this is because it's interior angles are 135° each

The value of the expression x² - 2(x - y) - z³ when x = 2, y = -2 and z = -3 is 23.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

x² - 2(x - y) - z³

when x = 2, y = -2 and z = -3.

To evaluate the value of the given expression,

Substitute the value of x, y and z in the given expression,

(2)² - 2(2- (-2)) - (-3)³

4 - 2(4) + 27

4 - 8 + 27

-4 + 27

23

The required value of the given expression is 23.

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The number of different combinations of five can the teacher choose from the eight study questions will be 56.

Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.

Given that your history teacher gives you a list of eight study questions. Five of the eight will be on the next test.

The combination will be calculated as,

Combination = ⁸C₅

Combination = ( 8!) / ( 5! x 3! )

Combination = ( 8 x 7 x 6 x 5!) / ( 5! x 3 x 2 )

Combination = ( 8x 7 )

Combination = 56

Hence, the combination will be 56.

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A graph of the quadratic equation h(t) = −16t² + 144 is shown in the image attached below.

The domain of h(t) is equal to {-3, 0}.

The range of h(t) is equal to {-∞, 144}.

Yes, h(t) is an invertible function because it passed the vertical line test.

In Mathematics, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and it should be read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = -3 < x < 0 or {-3, 0}.

Range = -∞ < y < 144 or {-∞, 144}.

In conclusion, the quadratic equation h(t) = −16t² + 144 is an invertible function because it input value (domain) are uniquely mapped to the output value (range).

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The cost to Alex to put molding around his living room, given the molding costs per foot and the dimensions of the living room, is $ 87. 72

The molding cost can be found by multiplying the cost per foot, by the number of feet of his living room . In other words, the perimeter of Alex's living room in feet .

Given that this is a living room, it is most likely of rectangular shape which means that the perimeter of the living room would be :
= 16 + 18 + 16 + 18

= 68 feet

This means that the cost of putting molding around the living room to Alex, would be :

= Cost per feet of molding x Number of feet around living room

= 1. 29 x 68

= $ 87. 72

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Because

9 lolipops + 2 pieces of gum eventually add up to 32 pieces of gum..

32 divided by 2 would give you 16  

9 times 16 =  144  

correct me if i am wrong))

Please find attached herewith the solutions of your questions.

Hope it helps.

If you have any query, feel free to ask.

Answer:

[tex]\textsf{8.} \quad \textsf{B.}\;8x^3y[/tex]

[tex]\textsf{9.} \quad \textsf{D.}\;81x^8[/tex]

[tex]\textsf{10.} \quad \textsf{A.}\;10t^{-7}[/tex]

[tex]\textsf{11.} \quad \textsf{C.}\;\dfrac{3m^2}{x^3}[/tex]

[tex]\textsf{12.} \quad \textsf{B.}\;\dfrac{1}{3m^9}[/tex]

Step-by-step explanation:

Exponent Rules

[tex]\textsf{Product rule}: \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\textsf{Power rule}: \quad (a^b)^c=a^{bc}[/tex]

[tex]\textsf{Quotient rule} \quad \dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]\textsf{Power of a Product rule}: \quad (ab)^c=a^{c} \cdot b^c[/tex]

[tex]\textsf{Negative exponent rule} \quad a^{-n}=\dfrac{1}{a^n}[/tex]

[tex]\begin{aligned}\left(2x^2y^3\right)\left(4xy^{-2}\right)&=2 \cdot 4 \cdot x^2 \cdot x \cdot y^3 \cdot y^{-2}\\&=8\cdot x^{(2+1)}\cdot y^{(3-2)}\\&=8 \cdot x^3 \cdot y^1\\&=8x^3y\end{aligned}[/tex]

[tex]\begin{aligned}\left(3x^2\right)^4&=3^4 \cdot (x^2)^4\\&=81 \cdot x^{(2 \cdot 4)}\\&=81x^8\end{aligned}[/tex]

[tex]\begin{aligned}5t^{-2} \cdot 2t^{-5}&=5 \cdot 2 \cdot t^{-2} \cdot t^{-5}\\&=10 \cdot t^{(-2-5)}\\&=10t^{-7}\end{aligned}[/tex]

[tex]\begin{aligned}\dfrac{6m^{10}x^4}{2m^8x^7}&=\dfrac{6}{2} \cdot \dfrac{m^{10}}{m^8} \cdot \dfrac{x^4}{x^7}\\\\&=3 \cdot m^{(10-8)} \cdot x^{(4-7)}\\\\&=3m^2x^{-3}\\\\&=\dfrac{3m^2}{x^3}\end{aligned}[/tex]

[tex]\begin{aligned}\dfrac{m^{-3}}{3m^6}&=\dfrac{1}{3} \cdot \dfrac{m^{-3}}{m^{6}}\\\\&=\dfrac{1}{3} \cdot m^{(-3-6)}\\\\&=\dfrac{1}{3} \cdot m^{-9}\\\\&=\dfrac{1}{3m^9}\end{aligned}[/tex]

The unit price of 24 oz can of soup is $0.2

8 oz can of soup cost $1.75

24 oz can of soup cost $4.90

The unit price of 24 oz can of soup can be calculated as follows

24= 4.90

1= x

Cross multiply both sides

24x= 4.90

Divide by the coefficient of x which is 24

24x/24= 4.90/24

x= 0.2

Hence the unit price of 24 oz can of soup is $0.2

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The value of x will be;

⇒ x = - 3

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 expression is,

⇒ 8 × 2²ˣ + 4 × 2ˣ × 2 = 1 + 2ˣ

Now,

Since, The expression is,

⇒ 8 × 2²ˣ + 4 × 2ˣ × 2 = 1 + 2ˣ

Solve for x as;

⇒ 8 × 2²ˣ + 8 × 2ˣ = 1 + 2ˣ

⇒ 8 × 2ˣ (2ˣ + 1) = 1 + 2ˣ

⇒ 8 × 2ˣ = (1 + 2ˣ) / (1 + 2ˣ)

⇒ 8 × 2ˣ = 1

⇒ 2ˣ = 1/8

⇒ 2ˣ = 2⁻³

By comparing, we get;

⇒ x = - 3

Thus, The value of x = - 3

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We found perimeter of window is 2 (L + w) and area of window is (L × w)

The word perimeter implies the total length of the boundary of a closed geometrical shape. Different geometrical shape has different formula for calculating its perimeter.

Area is the total space occupied by a closed flat geometrical shape. The method of determining area is also different for various figure.

Let, the new window is rectangular in shape,

the length of window = L feet

the width of window = w feet

hence, the area of window = length × width

    area = L× w

We know the formula of perimeter for a rectangular shape = 2 (length + width)

therefore, perimeter for the window = 2 (L+ w)

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The Title, the Legend, the Source, Axis, and the Data are the 4 most important parts of a graph.

The title defines a short explanation of what is in your graph. This helps the reader identify what they are about to look at. It can be creative or simple as long as it tells what is in the graph.

This legend tells us that the line represents the actual amount spent on each child and the line represents the amount spent when adjusted for inflation.

The source explains where you found the information that is in your graph.

The most important part of your graph is the information or data, Line graphs can present more than one group of data at a time. In this graph, two sets of data are presented.

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Answer: The restaurant owner would have to buy 4 plates and 3 spoons.

Step-by-step explanation:

12 x 3 = 36

9 x 4 = 36

Answer:

36

Step-by-step explanation:

36/12=3

36/9=4