Below are the fees of a parking lot.


First 2 hours = $5

Every 1/2 hour (or part of a half hour) afterward = $3.50


Mr. Garcia parked his car from 5:00pm to 11:15pm on the same day. How much did he pay for par

Answer:

-4/35

Step-by-step explanation:

-1/5 divided by 7/4

Do KCF or Keep change flip.

New equation: -1/5 times 4/7

1*4 is 4 and 5*7 is 35

Keep the negative sign.

Your answer is -4/35

Answer:

x=6

Step-by-step explanation:

To find x you need to equate X+4 and 3X-8 to give you X+4 = 3X-8 (you can do this as it is an isosceles triangle and both these sides are the same length). you then solve the equation for x which is the length of AC

Answer: 32a^5b^3√b

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors assuming positive real numbers

It's always true that a reflection on the x-axis followed by a reflection on the y-axis leaves a point in its original location.

What is a coordinate axis?

A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.

When a reflection in the x-axis followed by a reflection in the y-axis leaves a point in its original location. Is it always true?

The answer is true.

Reason: For example, piece of graph paper into 4 pieces, draw this same thing on all four:  

In this condition reflection in the x-axis followed by a reflection in the y-axis leaves a point in its original location of different color is yes.

Hence, it's always true that a reflection on the x-axis followed by a reflection on the y-axis leaves a point in its original location.

To learn more about the coordinate system, visit:

https://brainly.com/question/29476467

#SPJ4

The solution for the questions is mathematically given as

a)

t-distribution.

b)

the confidence interval for the mean, based on 98 percent of the sample, is ( 6.3952, 7.3048 )

c) the value of the \(\mu_0\) is within the range of the 98 percent confidence interval for the mean, which is between 6.3952 and 7.3048, then accept H_0; otherwise, reject H _0.

d)

you should conduct a poll with around 123 students to determine the average amount of time that students spend sleeping at your institution.

Generally, the equation for is mathematically given as

a.

In this case, the standard deviation of the population is unknown.

As a result, we make use of the t-distribution.

b)

We wish to generate a confidence interval with a 98 percent likelihood for the mean.

Because of this,

\((\bar{X}-t_{n-1,\alpha/2}\frac{s}{\sqrt{n}},\bar{X}+t_{n-1,\alpha/2}\frac{s}{\sqrt{n}})\)

\((6.85-t_{148-1,0.02/2}\frac{2.12}{\sqrt{148}},6.85+t_{148-1,0.02/2}\frac{2.12}{\sqrt{148}})\)

\((6.85-t_{147,0.01}\frac{2.12}{12.1655},6.85+t_{147,0.01}\frac{2.12}{12.1655})\)

(6.3952,7.3048)

Therefore, the confidence interval for the mean, based on 98 percent of the sample, is ( 6.3952 , 7.3048 )

c )

If the value of the mu _0 is within the range of the 98 percent confidence interval for the mean, which is between 6.3952 and 7.3048, then accept H_o; otherwise, reject H_0.

d . Here, we want to determine the sample size

Therefore,

\(n=t_{n-1,\alpha/2}^2\frac{s^2}{E^2}\)

\(n=t_{148-1,0.05/2}^2\frac{2.12^2}{0.5^2}\)

\(n=t_{147,0.025}^2\frac{2.12^2}{0.5^2}\)

\(n=2.6097^2\frac{2.12^2}{0.5^2}\)

n=122.4364

In conclusion, you should conduct a poll with around 123 students to determine the average amount of time that students spend sleeping at your institution.

Read more about  probability

https://brainly.com/question/795909

#SPJ1

Answer:

The unit price for a coffee mug is $0.55.

Step-by-step explanation:

The unit price is simply just the price per unit.

We have a 4-pack of coffee mugs that costs $2.20.

He have 4 units and the price per 4 units.

Lets evaluate the price per 1 unit.

\(\frac{2.20}{4} =\frac{x}{1}\)

Lets solve for \(x\).

Divide \(x\) by 1.

\(x=\frac{2.20}{4}\)

Divide 2.20 by 4.

\(x=0.55\)

Answer: 500 people don't read both.

Step-by-step explanation:

Answer:

n > -4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

n - 7 > -11

Step 2: Solve for n

Here we see that any value n greater than -4 would work as a solution.

Bond A: Price = $614.46, New Price = $595.50, Percentage change = -3.08%, New Price (market interest rate 8.05%) = $637.13, Percentage change (market interest rate 8.05%) = 3.69%.

Bond B: Price = $791.59, New Price = $762.05, Percentage change = -3.73%, New Price (market interest rate 8.05%) = $819.15, Percentage change (market interest rate 8.05%) = 3.48%.

Bond C: Price = $1019.55, New Price = $970.53, Percentage change = -4.81%, New Price (market interest rate 8.05%) = $1053.72, Percentage change (market interest rate 8.05%) = 3.35%. Relationship: Bond C > bond B > bond A.

Learn more about interest rate

https://brainly.com/question/28236069

#SPJ11

Given:

The number of 100.

To find:

The given number as an exponential expression with 10 as the base.

Solution:

We have,

Given number = 100

It can be written as

\(100=10\times 10\)

\(100=10^{1+1}\)                   \([\because a^m\cdot a^n=a^{m+n}]\)

\(100=10^2\)

Here, base is 10 and exponent is 2.

Therefore, the given number can be written as \(10^2\).

Based on the function properties, the linear equation that will pass through the origin is w = 10v

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

w and v are integers

As a general rule;

A linear equation that passes through the origin has the form y = mx

Where m is the slope

Using the variables w and v, we have

w = mv

Set m = 10 or any integer value

So, we have

w = 10v

Hence, the equation of the linear function is w = 10v

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

a. To write the equation in vertex form, we need to complete the square. The vertex form of a quadratic equation is given by:

h(t) = a(t - h)^2 + k

Expanding the equation:

h(t) = -16t^2 + 32t + 5

Completing the square:

h(t) = -16(t^2 - 2t) + 5

= -16(t^2 - 2t + 1) + 5 + 16

= -16(t - 1)^2 + 21

The vertex form of the equation is:

h(t) = -16(t - 1)^2 + 21

The vertex is (1, 21), the axis of symmetry is t = 1, and the opening is downward.

b. The maximum height can be determined from the vertex form of the equation. In this case, the maximum height is the y-coordinate of the vertex, which is 21 feet.

c. The result of this toss is that the grappling hook reaches a maximum height of 21 feet.

d. When the velocity is increased to 34 feet per second, the equation remains the same, and the maximum height can still be determined from the vertex form. The maximum height is still 21 feet.

e. The result of this toss is also that the grappling hook reaches a maximum height of 21 feet.

f. To find the x-intercepts, we set h(t) = 0 and solve for t. However, in this context, the x-intercepts do not have a meaningful interpretation because it represents the time at which the hook would hit the ground, which is not relevant to reaching the ledge.

The y-intercept is obtained by evaluating h(0), which gives us h(0) = 5. In this context, the y-intercept represents the initial height of the grappling hook.

g. The domain in this problem represents the possible values of time (t) that can be used in the equation. Since time cannot be negative, the domain is t ≥ 0. It represents the time elapsed since the toss was made.

For such more question on quadratic equation

https://brainly.com/question/30164833

#SPJ8

Answer:

First rememeber that if we have a function like:

g(x) = x^n

then:

dg(x)/dx = g'(x) = n*x^(n - 1)

And also if we have:

g(x) = f(x) + h(x)

then:

dg(x)/dx = g'(x) = f'(x) + h'(x)

1) We have the function f(x) = (x + 1)^2

We can rewrite this as:

f(x) = x^2 + 2*x + 1

Using both things written above, we know that:

f'(x) = 2*x + 1*2 = 2*x + 2

And we want to find f'(-2), so we only need to evaluate the above function in x = -2, this is:

f'(-2) = 2*-2 + 2 = -4 + 2 = -2

f'(-2) = -2

b) I suppose that this refers to the inverse function of f(x)

An inverse function is such that:

g( f(x)) = x

f( g(x)) = x

For f(x) = (x + 1)^2

The inverse will be something that first cancels that square, and then subtracts 1.

Then:

g(x) = √x - 1

if we evaluate this in f(x) we get:

g( f(x)) = √(f(x)) - 1 = √(x + 1)^2 - 1 = (x + 1) - 1 = x

Then the inverse function of f(x) is:

g(x) = √x - 1

This can also be written as:

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

Then the derivative of this will be:

g'(x) = (1/2)*x^(1/2 - 1) = (1/2)*x^(-1/2) = (1/2)*(1/√x)

Answer:

The 95% confidence interval based on this sample is =

[6.41, 7.79]

Step-by-step explanation:

The formula for Confidence Interval =

Mean ± z × standard deviation/√n

Sample mean = 7.1 hours

Standard deviation = 5 hours

n = 200 students

z = 95% confidence interval z score

= 1.96

C.I = 7.1 ± 1.96 × 5/√200

C.I = 7.1 ± 0.693

Hence, Confidence Interval

= 7.1 - 0.693

= 6.407

Approximately = 6.41

= 7.1 + 0.693

= 7.793

Approximately = 7.79

Therefore, the 95% confidence interval based on this sample is

[6.41, 7.79]

Answer:

25m

Step-by-step explanation:

A square is a parallelogram having all sides equal. Hence, if Casey walked diagonally, she should have gone 25m as the rules of square states.

please mark brainliest

9514 1404 393

Answer:

  x³ +9x² +27x +27

Step-by-step explanation:

Put x where 'a' is, and put 3 where 'b' is in the given pattern, then simplify.

  (x +3)³ = x³ +3x²(3) +3x(3²) +3³

  = x³ +9x² +27x +27

Answer: 299

Step-by-step explanation: 333 X .9 = 299.7; Can't make .7 of a free throw.

Answer:

Find the asymptotes.

Vertical Asymptotes:

x

=

−

2

Horizontal Asymptotes:

y

=

0

No Oblique Asymptotes

Answer:(6,0)

Step-by-step explanation:

Its the only positive point on the x axis

The ordered pair on the x axis that is one the line parallel to the given point P ( -6 , 10 ) is Q ( 6 , 0 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( -8 , 6 )

Let the second point be Q ( 4 , -4 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -4 - 6 ) / ( 4 + 8 )

Slope m = -5/6

Now , the equation of line is y - y₁ = m ( x - x₁ )

y + 4 = ( -5/6 ) ( x - 4 )

Subtracting 4 on both sides , we get

y = -5 x/6 - 4/6

Now , the ordered pair be ( 6 , 0 )

5x + 6y + k=0,  passes through ( -6 , 10 )

So , ( -30 + 60 + k = 0 )

k = -30

And , the line is 5x + 6y - 30 =0

So , the ordered pair ( 6 , 0) satisfies the condition of the equation

Hence , the ordered pair is ( 6 , 0 )

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

The complete question is attached below :

Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (-6, 10)?

O (60)

0 (0,6)

O (-5, 0)

O (0,-5)

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

<95141404393>

The Ti-84 Plus calculator can be used to find the z-scores that bound the middle 96% of the area under the standard normal curve. The z-scores should be entered in ascending order and rounded to two decimal places.

To calculate the z-scores, we need to find the boundaries that enclose the middle 96% of the area under the standard normal curve. Since the standard normal curve has a total area of 1, the remaining 4% is divided equally into two tails, each containing 2%. To find the z-scores corresponding to these boundaries, we can use the inverse normal distribution function on the Ti-84 Plus calculator.

Using the inverse normal distribution function, we can find the z-score that corresponds to a cumulative probability of 0.02 (2% on one tail). This z-score represents the lower boundary. Similarly, we can find the z-score corresponding to a cumulative probability of 0.98 (2% on the other tail), which represents the upper boundary.

By entering these z-scores in ascending order and rounding them to two decimal places, we can determine the z-scores that bound the middle 96% of the area under the standard normal curve using the Ti-84 Plus calculator.

Learn more about probability here: https://brainly.com/question/31828911

#SPJ11

[i] To calculate the determinant of matrix A using the cross-multiplication method, we can use the formula: ∣A∣ = (1 * -2) - (3 * 2) = -4 - 6 = -10. Therefore, the determinant of matrix A is -10.

[ii] To find the inverse of matrix A, we can use the formula: A^(-1) = (1/∣A∣) * adj(A), where adj(A) represents the adjugate of matrix A.

The adjugate of matrix A is obtained by swapping the elements along the main diagonal and changing their signs.

So, the adjugate of matrix A is:
( -2   2 )
( -3   1 )

Next, we can calculate A^(-1) by dividing the adjugate of A by its determinant:
A^(-1) = (1/∣A∣) * adj(A) = (1/-10) * ( -2   2 )  ( -3   1 ) = (1/-10) * ( -2/10   2/1  ( -3/10   1/10 ) = ( 1/5   -1/5 )( 3/10   -1/10 )
Therefore, the inverse of matrix A is:
( 1/5   -1/5 )
( 3/10   -1/10 )

To know more about matrix visit:

https://brainly.com/question/28180105

#SPJ11

ANSWER:

500.5 m²

STEP-BY-STEP EXPLANATION:

To know how much artificial grass should be purchased to cover the athletic field, we must calculate the area corresponding to the figure.

The area of a trapezoid has the following formula:

Where b is the small base, B is the large base and h is the height, we substitute and calculate the area, like this:

It is necessary to purchase the amount of 500.5 m² to be able to cover the athletic field

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

Read more on Functions here: https://brainly.com/question/29890699

#SPJ11

what do you need to know? you should write the question

In 609638400 ways eight men and five women can stand in a line so that no two women stand next to each other.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are organized in a linear or sequential manner. The permutation of the set A=1,6 is 2, for instance, 1,6, and 6,1. There is no alternative way to organize the components of set A, as you can see.

In contrast to combination, where the order of the parts is irrelevant, permutation calls for a specific arrangement of the elements in many ways.

We genuinely wonder how the timetables of trains, buses, and airlines are set up in accordance with the convenience of the general population. Of course, the permutation is quite useful in planning the departure and arrival timetables for these.

How to solve?

For 8 men in a line: 8! = 40320  

In order to separate 2 women, we have to choose 5 out of 9

C(9,5) = 9! / 5!4! = 126

Random place 5 women in the 5 chosen places: 5! = 120

Total ways= 40320 * 126 * 120 = 609638400

To know more about Permutation, visit:

https://brainly.com/question/14294277

#SPJ4

m=13−−11/

7−4

m=24/

3

m = 8

your answer is 8 :)

If the confidence interval for the difference in population proportions Pi suggests that the two population proportions might be the same. The correct answer is option (b).

A confidence interval is a range of values calculated from a given set of data or statistical model that has a high probability of containing an unknown population parameter, such as a population mean or proportion. The specified level of confidence refers to the percentage of possible intervals that can contain the true value of the population parameter.

Proportions are calculated by dividing the frequency of a particular outcome by the total number of outcomes. For example, if there are 20 heads and 80 tails in a series of coin tosses, the proportion of heads is 0.2 (20 divided by 100).

Population refers to a group of people, animals, plants, or objects that share a common characteristic or feature. It is the entire set of items or individuals that a researcher is interested in studying in order to make generalizations about a particular phenomenon.So, if the confidence interval for the difference in population proportions Pi suggests that the two population proportions might be the same.

This option: The two population proportions might be the same is the correct one.

To know more about confidence interval, visit:

https://brainly.com/question/32278466

#SPJ11

Answer:

1) La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.

2) La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.

3) La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.

Step-by-step explanation:

1) La velocidad final de la bala puede determinarse mediante el Teorema del Trabajo y la Energía, a partir del cual se tiene la siguiente fórmula:

\(\frac{1}{2}\cdot m\cdot v_{o}^{2} -F\cdot \Delta s = \frac{1}{2}\cdot m \cdot v_{f}^{2}\) (1)

Where:

\(m\) - Masa de la bala, en kilogramos.

\(v_{o}, v_{f}\) - Velocidades inicial y final de la bala, en metros por segundo.

\(F\) - Resistencia del muro al avance de la bala, en newtons.

\(\Delta s\) - Espesor del muro, en metros.

Si sabemos que \(m = 0,01\,kg\), \(v_{o} = 500\,\frac{m}{s}\), \(F = 3000\,N\) and \(\Delta s = 0,1\,m\), entonces la velocidad final de la bala es:

\(v_{f}^{2}=v_{o}^{2} -\frac{2\cdot F\cdot \Delta s}{m}\)

\(v_{f} = \sqrt{v_{o}^{2}-\frac{2\cdot F\cdot \Delta s}{m} }\)

\(v_{f} \approx 435,890\,\frac{m}{s}\)

La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.

2) Asumamos que el automóvil acelera a tasa constante, significando que la fuerza neta será constante. Para un sistema cuya fuerza neta sea constante, la potencia experimentada queda descrita por la siguiente ecuación:

\(P = m\cdot a(t)\cdot v(t)\) (2)

\(a(t) = a\) (3)

\(v(t) = v_{o} + a\cdot t\) (4)

Donde:

\(P\) - Potencia, en watts.

\(m\) - Masa del automóvil, en kilogramos.

\(a(t)\) - Aceleración, en metros por segundo al cuadrado.

\(v(t)\) - Velocidad, en metros por segundo.

\(v_{o}\) - Velocidad inicial del automóvil, en metros por segundo.

Si sabemos que \(m = 1000\,kg\), \(a = 3,472\,\frac{m}{s}\), \(v_{o} = 0\,\frac{m}{s}\) y \(t = 8\,s\) entonces la potencia experimentada por el automóvil es:

\(P = 96438,272\,W\) (\(131,208\,C.V.\))

La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.

3) El cuerpo experimenta un Movimiento de Caída Libre, el cual es un Movimiento Uniformemente Acelerado debido a la gravedad terrestre. La velocidad del cuerpo al llegar al suelo se determina mediante la siguiente fórmula cinemática:

\(v_{f} = \sqrt{v_{o}^{2}+2\cdot g\cdot h}\) (5)

Donde:

\(v_{o}\) - Velocidad inicial del cuerpo, en metros por segundo.

\(v_{f}\) - Velocidad final del cuerpo, en metros por segundo.

\(g\) - Aceleración gravitacional, en metros por segundo al cuadrado.

\(h\) - Altura recorrida por el cuerpo, en metros.

Si sabemos que \(v_{o} = 0\,\frac{m}{s}\), \(g = 9,807\,\frac{m}{s^{2}}\) y \(h = 10\,m\), entonces la velocidad al llegar al suelo es:

\(v_{f} \approx 14,005\,\frac{m}{s}\)

La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.