The time taken, t, for passengers to be checked-in for a flight is inversely proportional to the square of the number of staff, s, working. It takes 30 minutes passengers to be checked-in when 10 staff are working. (a) Find an equation connecting t and s. (b) What is the minimum number of staff that must be working so that the time taken is under 60 minutes?​

Answer:

i am trying to gt points step-by-step explanation:

seeeeeee i gto

The operations being done in each step are:

(1) Use the distributive property

(2) Subtraction property of equality.

(3) Addition property of equality.

(4) Division property of equality.

Two or more expressions with an equal sign are defined as an equation.

3(-3x-4) = 5x+2

Use distributive property:

-9x -12 = 5x + 2

Subtract 5x from both sides of the equation:

-14x -12 = 2

Add 12 to both sides of the equation:

-14x = 14

Divide both sides by -14:

x = -1

Hence, the operations being done in each step are:

(1) Use the distributive property

(2) Subtraction property of equality.

(3) Addition property of equality.

(4) Division property of equality.

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The graph of the function graph (a) and the table in the figure represents the actual table of the function

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

f(x) = (3/4)^x

This equation can be re-expressed as

f(x) = (3/4)ˣ

The x values on the table of values are given as: x = -2, -1, 0, 1 and 2

The next step is to substitute these values

So, we have the following equations

f(-2) = (3/4)⁻² = 16/9

f(-1) = (3/4)⁻¹ = 4/3

f(0) = (3/4)⁰ = 1

f(1) = (3/4)¹ = 3/4

f(2) = (3/4)² = 9/16

When these equations are represented on a table of values, we have the following table:

x  -2       -1      0     1      2

y  16/9   4/3   1     3/4   9/16

Next, we represent the values on a graph

From the table, we have

y = 1 when x = 0

This means that it crosses the y-axis at (0, 1)

This is represented by graph (a)

So, the graph of the function is graph (a)

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The value of x in the given equation, 2^(3x+1)=1/4, is x = -1

From the question, we are to solve the given given equation.

The given equation is

2^(3x+1) = 1/4

To solve the equation, we will determine the value of x.

Solving for x in the equation

2^(3x+1) = 1/4

Express 1/4 in index form

NOTE: 1/4 = 4^-1 = 2^-2

Thus,

The equation becomes

2^(3x+1) = 2^-2

Now, equate the powers

That is,

(3x + 1) = -2

3x + 1 = -2

Subtract 1 from both sides of the equation

3x + 1 - 1 = -2 - 1

3x = -3

Divide both sides of the equation by 3

3x/3 = -3/3

x = -1

Hence, the solution is x = -1

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Answer:

B

Step-by-step explanation:

If you divide 7/8 you will get 0.875 which is equivalent to 21/24 which is 0.875.

The probability that no more than two foreclosure auctions occurred on a randomly selected weekday of 2017 in boston is 0.4232

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

calculation has been attached in the picture below

the probability that no more than two foreclosure auctions occurred on a randomly selected weekday of 2017 in boston is 0.4232

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Answer: Yes

Step-by-step explanation:

Because a=b, we can use the Substitution Property of Equality to substitute a for b. Now our equation looks like this:

a+a=a+a

Using the Reflexive Property, we know that this equation is true. We can use an example by setting a=2. This is what that would look like:

a=2

a=b          transitive property

b=2

a+a=a+b  substitution property

2+2=2+2

4=4          true

Therefore, yes, it is possible for a+a=a+b when a=b

Shapes that are symmetrical (or symmetric) have an identical side on each side. A symmetry may be divided into four primary categories: translation, rotation, reflection, and glide reflection.

Shapes that are symmetrical (or symmetric) have an identical side on each side. When mirrored, rotated, or translated, symmetrical forms retain their original appearance. A symmetry may be divided into four primary categories: translation, rotation, reflection, and glide reflection. The line dividing an animal into two halves is referred to as symmetry. Asymmetry, radial symmetry, and bilateral symmetry are only a few examples of symmetry. Animals are classified according to these symmetries, which are distinct from one another. Rotational symmetry, reflection symmetry, translation symmetry, and glide reflection symmetry are some examples of symmetries. Planar symmetry, which refers to various forms of symmetry on a flat surface, is shown by these four different types of symmetry.

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If we compute a 92% confidence interval in  excel command the critical value will be 1.750686.

Level of confidence c = 0.92

level of significance α = 1 - c = 0.08

A 92% confidence interval has goes from  8/2 = 4% to 100%–(8/2)% = 96%

Leaving 92% in the middle (96%–4%) = 92 %

So look up z-score for 96% or p =0.96

The two closest value in a z-table are

P(z< 1.75) = 0.95994

P(z< 1.76) = 0.96080

Based on this online table

( https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf )

So critical value Z = 1.75 is the closest value , but just barely.

But if you want a more accurate , use the normal function on Excel or from an online calculator or interpolate

If you interpolate

1.75 + (0.96–0.959954)*0.01/ (0.9608–0.95994)

Critical value Z= 1.750535

If you round to four digits,  critical value Z = 1.7505

So the interpolation isn’t that much more accurate

Excel function says critical value Z= 1.750686

=normsinv(0.96)

= 1.750686 which is probably more accurate.

By using the word interval, you have implied you are talking about a two-sided test.

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The line m passing through the points (2, -7) and (4, -9) is parallel to the line y = -x + 2 , the correct option is (c) .

In the question ,

it is given that ,

the Line m passes through the points (2,-7) and (4,-9),

So , the slope of the line will be = (-9 + 7)/(4 - 2)

= -2/2

= -1

We know that the if two lines are parallel then they will have same slope ,

the slope of the line should be -1,

from the given options , we can see that only option (c) has the slope = -1

on comparing equation y = -x + 2 with the general equation of the line y = mx + c , we get

slope(m) = -1

hence , the line m is parallel to y = -x + 2 .

Therefore , the line m passing through the points (2, -7) and (4, -9) is parallel to the line y = -x + 2 .

The given question is incomplete , the complete question is

Line m passes through the points (2, -7) and (4, -9). Line m is parallel to which line?

(a) 8x + 2y = -10

(b) x = 5

(c) y = -x + 2

(d) y = x - 9

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         then it becomes, [tex]y=-\frac{1}{2} x^2[/tex].

                                                                            [tex]y = -\frac{1}{4} (x+2)^2[/tex]

        [tex]y = -\frac{1}{4} (x+2)^2[/tex]

What do you mean by graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

What do you mean by Factor?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them. Factors can be found using either division or multiplication.

What is whole number?

The positive integers are another name for the whole numbers or the nonnegative integers, if zero is included.

What is integer?

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

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The property of the equality is a method to perform a operation both sides of the equal sign which will not affect the equation. Property of equality which is needed to isolate a variable and solve a given equation is use inverse relationships to "undo" the operation. Thus the option A is the correct option.

Property of equality

The property of the equality is a method to perform a operation both sides of the equal sign which will not affect the equation.

Inverse means to revere something which has been done earlier. An undo operation in mathematics is the operation of undoes what was done by the previous operation.

For example suppose the given expression is no 5. Then by adding 4 and again subtracting 4 keeps the system isolate.

Hence the property of equality which is needed to isolate a variable and solve a given equation is use inverse relationships to "undo" the operation. Thus the option A is the correct option.

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Answer:

20/1

Step-by-step explanation:

2000 divided by 100 = 20

100 divided by 100 = 1

Answer:

This is a V-shaped function that opens downward. The vertex of the V is point (1, 12).

Step-by-step explanation:

This is a V-shaped function that opens downward. The vertex of the V is point (1, 12).

The set of side measurements that could be used to form a right triangle is √3, √13, and 4 option (D) is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The side length of the triangle is shown in the option:

As we know,

Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

Using Pythagoras' theorem:

From option(D):

√3, √13, and 4

(√3)² + (√13)² = 4²

3 + 13 = 16 (True)

Determine which set of side measurements could be used to form a right triangle.

4, 8, 11

6, 8, 13

square root of 3, square root of 5, 8

square root of 3, square root of 13, 4

Thus, the set of side measurements that could be used to form a right triangle is √3, √13, and 4 option (D) is correct.

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Answer:

≈ 4,22 m

Step-by-step explanation:

volume = 20000L = 20000 dm^3 = 20 m^3

diameter = 2,4m

the volume of a cilinder is π * r^2 * h (height)

20 = π * 1,2^2 * h

h = [tex]\frac{20}{\pi * 1,44} \\[/tex] ≈ 4,42 m

Answer:

8

Step-by-step explanation:

because is the smallest multiple that 4 and 8 have in common

Answer:

Step-by-step explanation:0495-46y7467-6686-745676-5

Answer:

there fore y = 1/8x-1   it can be write as 8xy+8x-1 = 0

and -5x+4y=-3 can be write it as -5x+4y+3 = 0

Step-by-step explanation:

given that

pair y = 1/8x-1   ------ equation (1)

and -5x+4y=-3   ------ equation (2)

you can write it as

you can write equation (1) as

y = 1/8x-1

y = 1-8x/8x

8xy = 1-8x

there fore

y = 1/8x-1   it can be write as 8xy+8x-1 = 0

you can write equation (2) as

-5x+4y = -3

-5x+4y+3 = 0

there fore

-5x+4y=-3 can be write it as -5x+4y+3 = 0

A line that intersects two or more lines at a distinct point is known as a transversal line.

A transversal is a line in geometry that connects two lines in the same plane at two different places. When determining whether two or more other lines in the Euclidean plane are parallel, transversals are important. Consecutive interior angles, consecutive exterior angles, corresponding angles, and alternate angles are only a few examples of the several pairings of angles that can be formed when a transversal intersects two lines. Euclid’s parallel postulate states that if two lines are parallel, then comparable interior angles are equal, alternate interior angles are equal, and successive interior angles are supplementary.

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The amount Erica owed for the 6 years if 5300 dollars was loaned at the rate of 8% is $8,551.56.

The amount Erica owes for 6 years if 5300 dollars is loaned to her at the rate of 8% compounded monthly can be computed as follow:

Therefore,

[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]

where

Therefore,

p = 5300 dollars

t = 6 years

n = 12

r = 8%

Therefore,

[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]

[tex]A = 5300(1+ \frac{0.08}{12} )^{(12)(6)}[/tex]

A = 5,300(1 + 0.0066666666666667)⁷²

Therefore,

A = $8,551.56

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The expression (√z√y√x)^8 is simplified to zyx

Square root of a number can be defined as a value, which by multiplying itself, gives the original number.

It is represented with the symbol " √ ".

The square root of a number is the direct opposite of squaring a number.

Given the expression;

Find the square root of z

[tex]{\sqrt{z\sqrt{y\sqrt{x} } }}^8[/tex]

Square root can be expressed as the power of 1/2

Then, we have'

[tex]z\sqrt{y\sqrt{x} } ^ 4[/tex]

Find the square root of y

[tex](zy\sqrt{x} )^2[/tex]

Find the square root of x

zyz

Hence, the expression is xyz

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If the a has 15 boys and 20 girls, then the boy to girls ratio in simplest form is 3 : 4

Number of boys in the class = 15 boys

Number of girls in the class = 20 girls

The ratio can be defined as the a number that can be used to express one quantity as a fraction of the other ones. That means we are comparing them by dividing those numbers

Here the ratio will be

Number of boys in the class : Number of girls in the class

Substitute the values in the ratio

= 15 : 20

Divide both numbers by 5

= (15/5) : (20/5)

= 3 : 4

Hence, if the a has 15 boys and 20 girls, then the boy to girls ratio in simplest form is 3 : 4

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Confidence coefficient or confidence level for the interval is 0.95.

What is confidence coefficient?

The proportion of samples of a given size that may be anticipated to contain the true mean is all that the confidence coefficient is.

Confidence level:

Confidence level means the proportion or frequency of acceptable confidence intervals that contain the true value of the unknown parameter.

For example,

A 0% confidence level means you have no faith at all that if you repeated the survey that you would get the same results.

Main Body :

Confidence Interval = 95%

Hence the confidence interval would be 0.95.

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The last term b of the expression is 99

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP : Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Sum of first n terms of an AP : Sₙ = ( n/2) ( a+b )

where a = first term

b = last term

Given data ,

First term a = 3

Number of terms n = 12

Sum of n terms Sₙ = 612

Let the last term of the AP be = b

Sum of first n terms of an AP : Sₙ = ( n/2) ( a+b )

Substitute the values of a , Sₙ and n in the equation

612 = ( 12/2 ) ( 3 + b)

612 = 6 ( 3 + b )

Divide by 6 on both sides , we get

102 = 3 + b

Subtract 3 on both sides , we get

b = 99

Hence , the last term of the Arithmetic Progression is 99

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The Answer is 25.12 I know this because I used a calculator. Hope this helped! :)

Answer: 25.12

Step-by-step explanation:

The Answer is 25.12 I did a test and got it right. I hope this helps!

The required solution of the system is shown below,
       5x+ 10      6x - 1
10        60            59
11         65            64
12         70            71

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here

We have 2 equations,
y = 5x + 10   - - - - - {1}
y = 6x - 1       - - - ---(2)
Substitute the value 10, 11, and 12 in both the equation to get the values of y as,
       5x+ 10      6x - 1
10        60            59
11         65            64
12         70            71

Thus, the solution of the system is shown in the table above.

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