Find the total surface area of this cuboid,
5 cm
4 cm
6 cm

Answer:

79

Step-by-step explanation:

From Question, we are told that, there are 14 rows of seat with is divided into left hand side and right hand side

Seats by the right = fit two people

Seats by the left = fit three people

This means, 1 row of seat can contain 5 persons

The back seat = 8 people can sit comfortably.

Hence, the number of people that can ride the bus at one time =

(14 × 5 people) + 8 people (backseat) + 1 driver

= 70 + 8 + 1

= 79 people

The difference in the dollar value of Assistantship (Stipend) between art and science fields with  standard errors is equal to 1.214.

Mean      24041.62203                 25952.36501

Sample mean difference between Assistantship (stipend) in arts and science is equal to

=  $25952.36501 - $24041.62203

= $1910.74298.

Hypothesized mean difference is 0 (there is no difference in stipend between the two fields).

Variance        621483.0801            615193.5853

Sample size    521                             479

Standard error of the difference is,

=√[(variance in arts / sample size in arts) + (variance in science / sample size in science)]

= √[(615193.5853 / 479) + (621483.0801 / 521)]

= $49.77

t-statistic

= (sample mean difference - hypothesized mean difference) / standard error of the difference

Substitute the values into the t-statistic formula,

⇒ t-statistic = ($1910.74298 - 0) / $49.77

⇒ t-statistic = 38.39

t-critical value for a two-tailed test with 992 degrees of freedom at a significance level of 0.05 is 1.9624.

t-statistic (38.39) > t-critical value (1.9624)

⇒Reject the null hypothesis that there is no difference in stipend between the two fields.

standard errors

= t-statistic / √(sample size)

= 38.39 / √(479 + 521)

= 38.39 /31.62

=1.214

Therefore,  the difference in the dollar value of Assistantship (Stipend) between these two fields is 1.214 standard errors away from the hypothesized difference.

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Answer:

14

Step-by-step explanation:

h= 17 + -18/6

h= 17 + -3

h = 14

Considering the expression of a line, the equation of the line that passes through the pair of points (-4,1) and (4, -1) is y=-1/4x +2.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m can be calculated using:

m= (y₂ - y₁)÷ (x₂ - x₁)

Substituting the value of the slope m and the value of one of the points in the expression of a line, the value of the ordinate to the origin b can be obtained.

In this case, being (x₁, y₁)=  (-4, 1) and (x₂, y₂)= (4, -1), the slope m can be calculated as:

m= (-1 -1)÷ (4 - (-4))

m= (-1 -1)÷ (4 +4)

m= (-2)÷ 8

m= -1/4

Considering point 1 and the slope m, you obtain:

1= (-1/4)× (-4) + b

1= -1 +b

1 +1= b

2= b

Finally, the equation of the line is y=-1/4x +2.

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Answer: We have to simplify the provided expression and pick the answer out of the options which matches the final result.

Simplification:

Therefore the answer is Option(F).

The slice of quiche must be rotated 45° clockwise to ensure that each of the 8 slices are the same size and shape.

What is Rigid Motion?

A set can move in a rigid motion if the spacing between the points remains constant. A set is a collection of things or components in mathematics.

Explanation:

Rotation:

A transformation about a point p, called the center of rotation.

Each point and its image are the same distance from p.

There are 8 slices so each central angle of a quiche must  \(\frac{360}{8} =45\).

Hence, The slice of quiche must be rotated 45° clockwise to ensure that each of the 8 slices are the same size and shape.

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this is not the write answer im just it bec whevener but i think it is 13=845-684x3 i think it is the answer

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

2(x+1)=16

Divide by 2 both sides

X+1=16/2

16 divide by 2 is 8

X+1=8

Subtract 1 from both sides

X=8-1

X=7

Answer:

28/-7+2

= -4 + 2

= -2

Remember to follow the BODMAS rule while solving

Hope it helps

Answer:

c,d?

Step-by-step explanation:

The correct statements for the given function are -

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that the function f is defined by the rule that assigns each real number x to 1 more than the opposite of its cube root.

We can write the function as -

f(x) = \($\sqrt[3]{x} +1\)

Refer to the graph of the function attached. It can be seen from the graph that the following statements are true -

Therefore, the correct statements for the given function are -

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Answer: 4 \(\frac{7}{8}\) pounds of apples

Step-by-step explanation:

     We will subtract the apples used from the original pounds of apples to solve this question. First, I will turn all units into eighths to subtract.

8 1/2 -> 8 4/8

1/2 -> 4/8

3 1/8 -> 3 1/8

     Next, I will subtract and simplify as I go.

8 4/8 - 4/8 - 3 1/8

8 - 3 1/8

8 - 3 = 5, 5 - 1/8 = 4 7/8

   Marco has 4 7/8 pounds of apples left.

The limiting velocity after the parachute opens is 174.38 ft/s.

(a) Find the speed of the skydiver when the parachute opens.

Use \(g = 32 ft/s2.v(13)\) = ? ft/sIt is given that, at t = 0, the velocity, v0 is 0.

At t = 13 s, the final velocity, v13 is required.

Let's use the equation of motion:\(v13 = v0 + gt\)

We get,

\(v13 = 0 + 32 × 13v13 \\= 416 ft/s\)

But, we need velocity in feet/second, hence we need to convert it to ft/s.

So\(,v13 = 416/1.47\)

(1.47 is a conversion factor) = 283.67 ft/s

Now, the parachute opens after 13 seconds, thus we need to find the velocity at 13 seconds of fall

\((0.78) × 283.67 = 221.28 | V|  \\= 221.28 | -283.67| \\= -221.28\)

Therefore, the velocity of the skydiver when the parachute opens is 221.28 ft/s in the opposite direction.

(b) Find the distance fallen before the parachute opens. x(13) = ? ft

To find the distance fallen, let's use the equation of motion:x = v0t + 1/2 gt²

Given,v0 = 0, t = 13 s and g = 32 ft/s²

So,\(x13 = 0 + 1/2 × 32 × 13² \\= 8,192 ft\)

Therefore, the distance fallen before the parachute opens is 8,192 ft.(c) What is the limiting velocity vL after the parachute opens?VL = ? ft/s

The limiting velocity is given by:

\(VL = √(mg/c)\)

Where,m = mass of the skydiver (including the equipment)g = acceleration due to gravity

\(c = drag force\)

coefficient of resistance at velocity V.

The coefficient of resistance at the limiting velocity V is given by:

cv = mg/VL²On substituting the given values,

\(cv = 282/((221.28)²×10) \\= 5.92×10⁻⁵\)

Using this value of cv, we can calculate the limiting velocity:

\(VL = √(mg/c)VL \\= √(282×32/5.92×10⁻⁵) \\= 174.38 ft/t\)

Therefore, the limiting velocity after the parachute opens is 174.38 ft/s.

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Answer:

y = - \(\frac{5}{2}\) x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \(\frac{5}{2}\) , then

y = - \(\frac{5}{2}\) x + c ← is the partial equation

To find c substitute (8, - 9) into the partial equation

- 9 = - 20 + c ⇒ c = - 9 + 20 = 11

y = - \(\frac{5}{2}\) x + 11 ← equation of line

The correct answer is : B. b(a) = a - 19.5.

To find the inverse function b(a), we need to reverse the roles of the input and output variables in the original function a(b).

The original function a(b) = 14.5 + 5 relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base.

To obtain the inverse function b(a), we set a(b) equal to a and solve for b.

\(a = 14.5 + 5\)

Subtracting 14.5 from both sides, we get:

\(a - 14.5 = 5\)

Now, to isolate b, we subtract 5 from both sides:

\(a - 14.5 - 5 = 0\)

\(a - 19.5 = 0\)

Finally, we can rewrite this equation as:

\(b(a) = a - 19.5\)

Therefore, the correct equation that represents the inverse function b(a) is:

\(B. b(a) = a - 19.5.\)

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The equation representing the inverse function b(a)=a/5+7. C..

The inverse function of a given function, we need to switch the roles of the input and output variables.

Given the function: a(b) = 14.5 + 5

To find the inverse function b(a), we need to replace a with b and b with a:

b(a) = 14.5 + 5

The equation that represents the inverse function b(a) is:

C. b(a) = a/5 + 7

In this equation, we have the trapezoid's area (a) as the input, and the length of the other base (b) as the output.

By dividing a by 5 and adding 7, we can calculate the length of the other base using the given area.

We must reverse the functions of the input and output variables in order to find the inverse function of a given function.

The function being: a(b) = 14.5 + 5

We need to swap out a for b and b for a to discover the inverse function, which is b(a):

b(a) = 14.5 + 5

The inverse function of b(a) is represented by the equation C. b(a) = a/5 + 7

The area of the trapezoid (a) and the length of the other base (b) are the input and output, respectively, of this equation.

We may use the supplied area to get the length of the other base by multiplying a by 5 and then adding 7.

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The probability that the airline will have no mishandled bags is 0.0022.

Given that airline A had 6.06 mishandled bags per 1,000 passengers.Let us find the probability that in the next 1,000 passengers, the airline will have no mishandled bags. Here, the mean number of mishandled bags = 6.06.

We need to find the probability that the airline will have no mishandled bags.

Probability of having no mishandled bags = P(X = 0)

The Poisson distribution formula is

P(X = x) = (e^(-λ) * λ^x) / x!

Where λ is the mean number of occurrences of an event in a given interval of time/space.

Here, λ = 6.06 and x = 0.

Thus, the Poisson distribution formula will be:

P(X = 0) = (e^(-6.06) * 6.06^0) / 0!

P(X = 0) = (e^(-6.06) * 1) / 1

P(X = 0) = e^(-6.06)

P(X = 0) = 0.0022011124290586392 (approximately)

Therefore, the probability that in the next 1,000 passengers, the airline will have no mishandled bags is 0.0022 (rounded to four decimal places).

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A correlation score of 0.75 between two variables such as symptoms of anxiety and symptoms of depression indicates a strong positive relationship between these variables.

This means that as the level of symptoms of anxiety increase, there is a high likelihood that the level of symptoms of depression will also increase. Conversely, as the level of symptoms of anxiety decreases, the level of symptoms of depression is likely to decrease as well.

It's important to note that correlation does not imply causation, meaning that just because there is a strong positive correlation between two variables, it doesn't necessarily mean that one variable causes the other. Further research would be needed to establish any causal relationship between symptoms of anxiety and symptoms of depression.

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Answer:

19 my friends

have a good day

Step-by-step explanation:

The plastic and the glass contain no water molecules. Plastic and glass have very different absorption frequencies from water, so they may not absorb any significant microwave energy and remain cool to the touch.

The absorption of electromagnetic radiation by water depends on the state of the water.

The absorption in the gas phase occurs in three regions of the spectrum. Rotational transitions are responsible for absorption in the microwave and far-infrared, vibrational transitions in the mid-infrared and near-infrared. Vibrational bands have rotational fine structure. Electronic transitions occur in the vacuum ultraviolet regions.

It is given that an empty plastic or glass dish being removed from a microwave oven can be cool to the touch, even when food on an adjoining dish is hot.

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The number of adult tickets sold is 55 and the number of student tickets sold is 2.

Let the number of student tickets be x and the number of adult tickets be y.

Step 1: Constructing the equations

Given,Student tickets cost $5 and adult tickets cost $7.The dance team sold 57 tickets and made $395. In order to find the number of student and adult tickets sold, we need to construct two equations.Using the given information, we can write the following equations:

x + y = 57  (Equation 1)

5x + 7y = 395  (Equation 2)

Step 2: Solving the equations We need to solve the equations we have constructed to find the values of x and y. We can do this using the elimination method by multiplying the first equation by 5 and subtracting the second equation from it.

5x + 5y = 285  (Multiplying Equation 1 by 5)

5x + 7y = 395  (Equation 2)2y = 110  

(Subtracting Equation 2 from Equation 1)

y = 55  (Dividing by 2)

Now we can substitute y = 55 in Equation 1 to find x:

x + 55 = 57  (Substituting y = 55) x = 2

Therefore, the number of adult tickets sold is y = 55 and the number of student tickets sold is x = 2.

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Answer:

surds are option A, D and E

\(A. \ \sqrt{17} \\\\D. \ \sqrt{15} \\\\E. \ \sqrt{30}\)

Step-by-step explanation:

Given;

\(A. \ \sqrt{17} \ \ \ \ B. \ \sqrt{36} \ \ \ \ C. \ \sqrt{100} \ \ \ \ D. \ \sqrt{15} \ \ \ \ E. \ \sqrt{30}\)

A Surd have no perfect square root.

B. √36 = 6

C. √100 = 10

Option  B and C have perfect square roots.

Thus, surds are option A, D and E, which have no perfect square root.

\(A. \ \sqrt{17} \\\\D. \ \sqrt{15} \\\\E. \ \sqrt{30}\)

1. The heat evolved or absorbed when reactants react completely to produce products is called the enthalpy change of the reaction. It represents the difference in the heat content between the products and the reactants.

2. The heat content change in a chemical reaction is the same whether it takes place in one or several stages, provided the temperature and either pressure or volume remain constant. This is known as Hess's Law, which states that the enthalpy change of a reaction is independent of the pathway taken to reach the final products.

3. The slope of a plot of ΔG (Gibbs free energy) against T (temperature) gives the entropy change (ΔS) of the system. It can be calculated using the equation ΔG = ΔH - TΔS, where ΔH is the enthalpy change.

4. Debye showed that at lower temperatures, around -258 °C, the heat capacity of a solid may be expressed as a linear function of temperature. This relationship is known as the Debye model.

5. The Clausius-Clapeyron equation in general form relates the variation of the vapor pressure of a substance with temperature. It can be written as ln(P2/P1) = ΔHvap/R * (1/T1 - 1/T2), where P1 and P2 are the vapor pressures at temperatures T1 and T2, ΔHvap is the enthalpy of vaporization, and R is the gas constant.

6. The value of dP/dT obtained will be in cal/c.c./deg. To convert this value to a more convenient unit of atm/deg, the following factor is used: 1 atm = 101325 Pa = 101325 N/m² = 101325 J/(m³ * K) = 101325 J/(1000 cm³ * K) = 101.325 J/(cm³ * K) = 101.325 cal/(cm³ * K).

7. If the solution obeys Raoult's law, the activity of any component is equal to the mole fraction of that component in the solution. Raoult's law states that the vapor pressure of a component in an ideal solution is directly proportional to its mole fraction.

8. The excess thermodynamic function may be defined as the difference between the actual value of a thermodynamic function and the value it would have if the solution behaved ideally. It takes into account the non-ideal behavior of the solution.

9. The entropy of mixing for a regular solution is the same as for an ideal solution and is equal to zero. This means that there is no change in entropy when the components of the solution mix together.

10. For an electrochemical cell operating under reversible conditions, the term Ir represents the product of the current (I) flowing through the cell and the resistance (R) of the cell. It is related to the electrical work done in the cell.

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The constant of proportionality that relates the number of cups of cereal, y, to the number of cups of pretzel sticks, x is y= 5/2x.

We have,

A snack mix recipe calls for 10 cups of cereal and 4 cups of pretzel sticks.

Using constant of proportionality

y = kx

where k is the constant

So, put y= 10 and x= 4 then

10 = k (4)

k = 10/4

k= 5/2

Thus, the constant of proportionality is 5/2.

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Sharlene needs to sell 24 bottles of lotion to receive a commission of Php 210.00. The correct answer is option B.

To determine the number of bottles Sharlene needs to sell to receive a commission of Php 210.00, we can set up a proportion based on the commission rate.

Let x represent the number of bottles Sharlene needs to sell. The commission she receives can be calculated as 10% of the total sales, which is 10% of Php 87.50 multiplied by the number of bottles (x). We can set up the following proportion:

(10/100)(87.50)x = 210

Simplifying the equation, we have:

8.75x = 210

To solve for x, we divide both sides of the equation by 8.75:

x = 210 / 8.75

x = 24

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The sequence represents triangle,quadrilateral,pentagon,hexagon,heptagon.

A sequence is a set of numbers which represents some common relation or representation among these numbers.

The geometric representation of the sequence 3,4,5,6,7... can be.

Given it represents geometry so it can be angles,sides.It can also represent interior angles.

If this sequence represents sides then it is triangle, quadrilateral, pentagon, hexagon...

If it represents interior angles then this sequence is also of triangle, quadrilateral, pentagon, hexagon,heptagon.

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Answer:

C

Step-by-step explanation:

took test

Part a

The estimated population of fox in the year 2019  is 28511

Part b

The after 3 years the population will reach 22000

The population in 2013 = 17000

The growth rate = 9% per year

Therefore it is an exponential function

Consider the P(x) as the population in x years

The the exponential function

P(x) = 17000 × \((1+0.09)^x\)

We have to find the population in 2019

Number of years = 6

Substitute the values in the function

P(6) = 17000 × \((1.09)^6\)

= 28510.7

≈ 28511

Part b

The population of fox = 22000

22000 = 17000 × \(1.09^x\)

\(1.09^x\) = 22000/17000

\(1.09^x\) = 22/17

x = ln (22/17) / ln(1.09)

x = 2.99

x ≈ 3 years

Hence,

Part a

The estimated population of fox in the year 2019  is 28511

Part b

The after 3 years the population will reach 22000

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The number of miles in 4 weeks is 20 mules

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

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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