Express the following relationship as a rate. Washing 24 cars in 4 hours

A.) 4 cars per minute

B.) 8 cars per hour

C.) 6 cars per minute

D.) 6 cars per hour

Answer:A. 140

Step-by-step explanation:

1/2(5)(7)(8)

Answer: The answer is C. it would change orientation and slant down.

Step-by-step explanation:

The two lines are just mirror images of each other. In this case, the slope is just the opposite, causing it to be the way it is. The y intercept is the same which also causes the mirror imaging.

Answer:

It would change orientation and slant down.

Step-by-step explanation:

Answer:

Final answer is [tex]P(B|A) = 0.25[/tex].

Step-by-step explanation:

We have been given values of

P(A) = 0.40, P(B) = 0.50, and  P(A and B) = 0.10

Now we need to find about what is the value of P(B/A).

Apply formula [tex]P (A \, and \, B)=P(A) \times P(B|A)[/tex]

Plug the given values into above formula:

[tex]P (A \, and \, B)=P(A) \times P(B|A)[/tex]

[tex]0.10 =0.40 \times P(B|A)[/tex]

[tex]\frac{0.10}{0.40} =P(B|A)[/tex]

[tex]0.25 =P(B|A)[/tex]

[tex]P(B|A) = 0.25[/tex]

Hence final answer is [tex]P(B|A) = 0.25[/tex].

Final answer:

The recursive rule for the given sequence is [tex]a_n = a_{n-1} - 13.8[/tex],

where a₁ = -7.4 and n > 1.

Explanation:

You are looking for the recursive rule for the sequence -7.4, -21.2, -35, -48.8, -62.6, and so on. To find this, we observe how the sequence progresses from one term to the next. The pattern here is that each term decreases by the same amount when compared to the previous term. By calculating the difference between successive terms, we can identify the common difference.

For instance, the second term (-21.2) minus the first term (-7.4) equals the third term (-35) minus the second term (-21.2), and this difference equals -13.8. Hence, each term is -13.8 less than the term before it.

To express this as a recursive formula, we start by stipulating the first term:

Then, we provide the recursive rule that relates each term to the one before it:

Using this recursive formula, given any term in the sequence, we can find the next term by subtracting 13.8 from the given term.

Answer:

Select Yes or No to tell whether each method results in a random sample of the population.

1. The owner uses a database to print the names of all clients on slips of paper. The owner chooses 20 of the slips of paper without looking.- yes

3. The owner sends a survey to every client who spent more than $500 with the catering company in the past year. - no

4. The owner sends a survey to all clients whose phone number ends in 5.- yes

5. The owner sends a survey to the last 20 clients who used the catering company's services.- yes

the third one bc the data range is x and the frequency is y so just match 0-10 w 5 as it’s y value and see if it matches on the graph and keep doing it for 10-20 make sure it’s y value is 10 then 20-30 it’s y value is 25 and so on

We are given the data range and frequency of the data set as follows:

       Data Range:            Frequency:

           0-10                            5

           10-20                          10

           20-30                         25

           30-40                          15

           40-50                            10

This means that the first bar is of the smallest height  and the height of first bar is: 5

The second bar is greater than the first with ha height of 10

The third bar has the highest height of 25

and then the fourth bar is smaller than the third bar with a height of 15 and the fifth bar has a height of 10.

Hence, the histogram that matches the data set is the figure attached to the answer.

Answer:

the area of the hexagon is approx. 187.1 in²

Step-by-step explanation:

Picture this regular polygon as being a hexagon made up of six equilateral triangles of side 12 in.  We find the area of one such triangle and then multiply that by 6 to obtain the total area of the hexagon.

One such equilateral triangle has three sides all of length 12 in, and all the interior angles are 60°.  The height of one such triangle is

h = (12 in)sin 60°, or

                  √3

h = (12 in) -------- = 6√3 in

                     2

So, with base 12 in and height 6√3 in, the area of one such equilateral triangle is

A = (1/2)(12 in)(6√3 in) = 36√3 in²

and the total area of the hexagon is 6(36)√3 in², or approx. 187.1 in²

Answer:

Values of x are 4i, -4i, 5 and -5

Step-by-step explanation:

[tex]3x^4+27x^2 + 1200[/tex] We need to find all the zeros (roots) of the above equation.

Let assume that x^4 = u^2 and x^2 = u

Putting values of x^4 and x^2 in the above equation and finding the value of u.

[tex]-3u^2 + 27u+1200=0\\Using \,\,quadratic\,\,equation\,\,to\,\,solve:\\u=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\where\,\, a= -3, b= 27 \,\,and\,\, c=1200\\u=\frac{-(27)\pm\sqrt{(27)^2-4(-3)(1200)}}{2(-3)}\\u=\frac{-27\pm\sqrt{729+14,400}}{-6}\\u=\frac{-27\pm\sqrt{729+14,400}}{-6}\\u=\frac{-27\pm\sqrt{15129}}{-6}\\u=\frac{-27\pm123}{-6}\\so, \,\, u = \frac{-27+123}{-6} \,\, and \,\, u  \frac{-27-123}{-6}\\u= -16 \,\, and \,\, u = 25[/tex]

So, values of u are -16 and 25

Putting back the value of u i.e, x^2

x^2 = -16 and x^2 =25

solving

Taking square root on both sides:

√x^2 =√-16 and √x^2 = √25

x = ± 4i (as √-1 =i) and x = ±5

So, values of x are 4i, -4i, 5 and -5.

Answer:

A

Step-by-step explanation:

The volume (V) of a pyramid is calculated using the formula

V = [tex]\frac{1}{3}[/tex] × area of base × height

note the height = 48 × 10 = 480 ( 48 storeys at 10 feet )

V = [tex]\frac{1}{3 }[/tex] × 571,536 × 480

  = 91,445,760 ft³

[ 1 yd³ = 27 ft³ ], hence

V = [tex]\frac{91445760}{27}[/tex] = 3, 386, 880 yd³ → A

Answer:

Part A) The height of the cylinder is [tex]7.8\ in[/tex]

Part B) The volume of one tennis ball is [tex]9.2\ in^{3}[/tex]

Part C) The volume of the cylinder is [tex]41.4\ in^{3}[/tex]

Part D) The volume of space in the cylinder not taken by the tennis balls is [tex]13.8\ in^{3}[/tex]

Step-by-step explanation:

Part A) Each tennis ball has a diameter of 2.6 inches

What is the height of the cylinder?

we know that

The height of the cylinder is equal to the diameter of one ball of tennis multiplied by 3

so

[tex]h=2.6*3=7.8\ in[/tex]

Part B)  Find the volume of one tennis ball

The volume of the sphere (one tennis ball) is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=2.6/2=1.3\ in[/tex] ----> the radius is half the diameter

[tex]\pi=3.14[/tex]

substitute

[tex]V=\frac{4}{3}(3.14)(1.3)^{3}[/tex]

[tex]V=9.2\ in^{3}[/tex]

Part C) Find the volume of the cylinder

The volume of the cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=2.6/2=1.3\ in[/tex] ----> the radius is half the diameter

[tex]\pi=3.14[/tex]

[tex]h=2.6*3=7.8\ in[/tex]

substitute

[tex]V=(3.14)(1.3)^{2} (7.8)[/tex]

[tex]V=41.4\ in^{3}[/tex]

Part D) What is the volume of space in the cylinder not taken by the tennis balls?

we know that

The volume of space in the cylinder not taken by the tennis balls, is equal to the difference from the volume of the cylinder and the volume of three ball of tennis

[tex]V=41.4-(3)*(9.2)=13.8\ in^{3}[/tex]

Answer:

Part A) The height of the cylinder is

Part B) The volume of one tennis ball is

Part C) The volume of the cylinder is

Part D) The volume of space in the cylinder not taken by the tennis balls is

Step-by-step explanation:

Part A) Each tennis ball has a diameter of 2.6 inches

What is the height of the cylinder?

we know that

The height of the cylinder is equal to the diameter of one ball of tennis multiplied by 3

so

Part B)  Find the volume of one tennis ball

The volume of the sphere (one tennis ball) is equal to

we have

----> the radius is half the diameter

substitute

Part C) Find the volume of the cylinder

The volume of the cylinder is equal to

we have

----> the radius is half the diameter

substitute

Part D) What is the volume of space in the cylinder not taken by the tennis balls?

we know that

The volume of space in the cylinder not taken by the tennis balls, is equal to the difference from the volume of the cylinder and the volume of three ball of tennis

Step-by-step explanation:

Answer:

t= 3 years

Step-by-step explanation:

So far we have 2 useful relationships[tex]P_{t}= P_{o} e^{r*t}[/tex] and [tex]P_{t}=2P_{0}[/tex]

Now, clearing t

[tex]P_{t}= P_{o} e^{r*t} \\\frac{ P_{t}}{P_{o}} = e^{r*t}\\\frac{2 P_{0}}{P_{o}} = e^{r*t}\\2 = e^{r*t}[/tex]

I apply logarithm

[tex]log(2)=r*t\\ t=\frac{log(2)}{r}\\t=\frac{0.3}{0.1} \\ t=3[/tex] years

Done

Answer:

25%

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 21.89 × 25/100

Discount = 547.25/100

You save = $5.4725

Final Price = Original Price - Discount

Final Price = 21.89 - 5.4725

Final Price = $16.4175

Answer:

25% off

Step-by-step explanation:

Answer:

B. {(4,6), (8,8), (–3,6)}

Step-by-step explanation:

The given inequality is

[tex]y\ge\frac{1}{4}x+5[/tex]

The set of points that satisfy the inequality are solutions.

We can verify that,all the points in the set  {(4,6), (8,8), (–3,6)} satisfy the given inequality.

[tex]6\ge\frac{1}{4}(4)+5[/tex]  ;[tex]\implies 6\ge6[/tex]: True

[tex]8\ge\frac{1}{4}(8)+5[/tex]  ;[tex]\implies 8\ge7[/tex]: True

[tex]6\ge\frac{1}{4}(-3)+5[/tex]  ;[tex]\implies 6\ge4.25[/tex]: True

Therefore, the correct answer is B.

Answer:

$97.20

Step-by-step explanation:

Divide the tip amount $14.58 by the percentage given 15% or .15.

$14.58 ÷ .15 =$97.20

Check your work by multiplying the answer $97.20 by the percent of tip 15%. $97.20 × .15 =$14.58 (tip amount)

Answer:

C

Step-by-step explanation:

bearing in mind that the derivative of s(t) is s'(t) = velocity, thus

[tex]\bf s(t)=-2-6t\implies \left. \cfrac{ds}{dt}=-6 \right|_{t=2}\implies -6[/tex]

namely a negative rate, so the object is slowing down to a stop.

Answer:

the instantaneous velocity at t = 2 is -6

Step-by-step explanation:

The position of an object at time t is given by s(t) = -2 - 6t

To find instantaneous velocity we take derivative s'(t)

s(t)= -2-6t

s'(t)= 0 -6=-6

To find instantaneous velocity at t= 2, we plug in 2 for t

there is no 't' in s'(t)

so s'(2)= -6

the instantaneous velocity at t = 2 is -6

Answer:

8x^2 - 14xy + 3y^2

Step-by-step explanation:

You need to find the product of (2x - 3y )(4x - y ). To solve this, we're going to be using the distributive distribution as follows:

(2x - 3y )(4x - y ) = 8x^2 - 2xy - 12xy + 3y^2

Combining like-terms:

(2x - 3y )(4x - y ) = 8x^2 - 14xy + 3y^2

Therefore, the result is: 8x^2 - 14xy + 3y^2

Answer:

8x^2 - 14xy - 3y^2

the other explains it, it just forgets to factor in a negitive

Answer:

B

Step-by-step explanation:

It is less than 50% and more tha 10%

It’s B I just took the test or quiz

C.) mean > median

Hope this helps chu

From the following set of data, statement C is true. Option C is correct.

The mean is the proportion of the total number of observations to the sum of the observations.

The median is a number for an organized data set (in ascending or descending order) that has the same number of observations on both sides.

11, 11, 12, 13

The mean of the data set is found as;

mean = (11+11+12+13)/4

mean=47/4

mean=11.75

The median of the data set is;

Arrange the numbers in the ascending order;

11, 11, 12, 13

median= (11+12)/2

median=11.5

mean > median

From the following set of data, statement C is true.

Hence, option C is correct.

To learn more about the mean and median, refer:

https://brainly.com/question/17060266

#SPJ2

Answer:

C

Step-by-step explanation:

The Hypotenuse is y

The side opposite the given angle (60o) is 12.

You must use one of the trig functions to relate the angle, the side opposite and the hypotenuse.

It turns out that the function you need to use is the sine.

angle = 60o

Side opposite = 12 cm

hypotenuse = h = ???

Sin(60o) = opposite / hypotenuse  multiply both sides by the hypotenuse.

hypotenuse * sin(60o) = side opposite

Divide by sin(60o)

hypotenuse = side opposite / sin(60)

hypotenuse = 12/sin(60)

Sin(60) radical form = sqrt(3)/2

hypotenuse = 12 // sqrt(3)/2

hypotenuse = 24 // sqrt(3)   Rationalize the denominator.

hypotenuse = 24 * sqrt(3) // ( (sqrt(3)*sqrt(3) )

hypotenuse = 8 sqrt(3)

C

[tex]\displaystyle\\\frac{22}{10}=\frac{x}{12}=\frac{33}{y}\\\\\frac{22}{10}=\frac{x}{12}\implies~x=\frac{22\times12}{10}=\frac{264}{10}=\boxed{\bf26.4}\\\\\frac{22}{10}=\frac{33}{y}\implies~y=\frac{10\times33}{22}=\frac{10\times3}{2}=5\times3=\boxed{\bf15}[/tex]

Answer:

D. Hot tub

Explanation:

1000 L is equal to about 246 gallons and even a deep bathtub couldn't hold that much water.

p.s. Loving your username

Answer:

Approach: Difference of Squares Pattern

[tex]4 {x}^{2} - 25 = (2x - 5)(2x + 5)[/tex]

Step-by-step explanation:

The given binomial is:

[tex]4 {x}^{2} - 25[/tex]

We can rewrite to obtain:

[tex] {(2x)}^{2} - {5}^{2} [/tex]

This is a difference of two squares, so we will factor using difference of squares pattern.

Recall that:

[tex] {a}^{2} - {b}^{2} = (a + b)(a - )[/tex]

If we let

[tex]a = 2x[/tex]

and

[tex]b = 5[/tex]

Then we can factor the given binomial to obtain:

[tex] {2x}^2 - {5}^{2} = (2x - 5)(2x + 5)[/tex]

[tex] \therefore4 {x}^{2} - 25 = (2x - 5)(2x + 5)[/tex]

Answer:

176 cubic feet

Step-by-step explanation:

volume of each box is given by area of base * height.

Volume of Box 1 = 16 * 3 = 48

Volume of Box 2 = 16 * 3 = 48

Volume of Box 3 = 16 * 5 = 80

Total Volume = 48 + 48 + 80 = 176 ft^3

To calculate the total volume of the three boxes, we sum the individual volumes of two boxes at 48 cubic feet each and one box at 80 cubic feet, resulting in a total of 176 cubic feet.

To find the total volume of the three boxes shipped on a truck, we need to calculate the volume of each box and then sum the volumes. The volume of a rectangular prism (which is the shape of the boxes) is calculated by the formula Volume = length × width × height. In this case, the boxes have a common base of 16 square feet.

The two boxes with a height of 3 feet each have a volume of 16 square feet × 3 feet = 48 cubic feet per box. For both, this gives us a total of 48 cubic feet × 2 = 96 cubic feet.

The third box with a height of 5 feet has a volume of 16 square feet × 5 feet = 80 cubic feet.

Adding the volumes of all three boxes together, the total volume is 96 cubic feet + 80 cubic feet = 176 cubic feet. This is the total volume of the three boxes combined.

ANSWER

EXPLANATION

The circumference of a circle is calculated using the formula:

[tex]C=2\pi \: r[/tex]

From the question, the radius of the circle is 10 inches.

We substitute the radius into the formula to get:

[tex]C=2\pi \times 10[/tex]

Let us multiply out to get:

[tex]C=20 \pi \: in[/tex]

The question required that we leave the answer in terms of π.

The correct choice is C.

Answer:

Step-by-step explanation:

Answer:

To quickly solve this problem, we can use a graphing tool or a calculator to plot each equation.

Please see the attached image below, to find more information about the graph

s

The equations are:

1) y = tan (x)

2) y = cot (x)

3) y = -tan (x)

4) y = -cot (x)

Looking at the graphs, we can see which corresponds to each equation

1) y = tan (x)

Graph C

2) y = cot (x)

Graph A

3) y = -tan (x)

Graph B

4) y = -cot (x)

Graph D

Answer:

A) 1C, 2A, 3B, 4D

Step-by-step explanation:

We can graph each of the functions in your preferred grapher, the we compare each graph with the corresponding example. (attached images)

By doing this we can see that graph C is tanx, graph A is cotx, graph B is -tanx, graph D is -cotx

Answer:

limaçon (no inner loop)

Step-by-step explanation:

The equation of a limaçon is written generically as ...

r = b + a·cos(θ)

For b=2 and a=1, this would put the flat side on the left. Rotating it 180° can be accomplished by adding or subtracting π from θ. Then the equation can be ...

r = 2 + cos(θ-π) . . . . or ...

r = 2 - cos(θ)

Answer:

  D) [tex]\left[\begin{array}{c}\frac{5}{4}\\-\frac{1}{2}\end{array}\right][/tex]

Step-by-step explanation:

For matrix [tex]\left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]

the inverse matrix is the transpose of the cofactor matrix, divided by the determinant: [tex]\dfrac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\end{array}\right][/tex]

Your inverse matrix is: [tex]\dfrac{1}{2(-3)-(1)(2)}\left[\begin{array}{cc}-3&-1\\-2&2\end{array}\right][/tex]

so the solution is ...

[tex]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{cc}\frac{3}{8}&\frac{1}{8}\\\frac{1}{4}&-\frac{1}{4}\end{array}\right] \cdot\left[\begin{array}{c}2\\4\end{array}\right] =\left[\begin{array}{c}\frac{5}{4}\\-\frac{1}{2}\end{array}\right] \qquad\text{matches selection D}[/tex]

Final answer:

The function print_total_inches is defined to calculate the total number of inches by converting feet to inches and adding any extra inches. It multiplies the number of feet by 12 (since there are 12 inches in a foot) and adds the number of inches to get the total.

Explanation:

To define the function print_total_inches, we need to convert both feet and inches to inches only, since there are 12 inches in a foot. For the parameters num_feet and num_inches, the total number of inches is given by the formula total_inches = num_feet * 12 + num_inches. Here's an example of how the Python function might look:

   def print_total_inches(num_feet, num_inches):
       total_inches = num_feet * 12 + num_inches
       print('Total inches:', total_inches)

When you call print_total_inches(5, 8), it will output "Total inches: 68" because 5 feet is equivalent to 60 inches (5 x 12), and adding the additional 8 inches gives us a total of 68 inches.

Answer:

A. 15

B. Scalene

Step-by-step explanation:

8x-10+6x+10x+10=360

24x=360

x=15

8x-10

8(15)-10=110

6x

6(15)=90

10x+10

10(15)+10=160

The triangle is scalene because none of the three sides are equal to each other.