use the given information to prove that m<QPS=m<TPV

Answer:

Option B is correct.

[tex]r = \frac{S}{2\pi h}[/tex]

Step-by-step explanation:

It is given that :

The formula for the lateral surface area of a cylinder is [tex]S = 2\pi rh[/tex]

where

S represents the lateral surface area of cylinder,

r represents the radius of the bases and

h represents the height of the cylinder.

Solve for r;

Given: [tex]S = 2\pi rh[/tex]

Divide both sides by [tex]2 \pi h[/tex],

[tex]\frac{S}{2\pi h} =\frac{2\pi rh}{2\pi h}[/tex]

Simplify:

[tex]r = \frac{S}{2\pi h}[/tex]

Therefore, the radius of the bases of the cylinder is, [tex]r = \frac{S}{2\pi h}[/tex]

Final answer:

The radius of the base of a cylinder, denoted as 'r', can be solved from the lateral surface area formula 'S=2πrh' by rearranging the formula to 'r = S / (2πh)'.

Explanation:

The question requires solving for r (the radius of the bases) from the formula for the lateral surface area of a cylinder, which is S=2πrh. To solve for r, we start by isolating r on one side of the equation. Here's how we can do it step by step:

This equation shows that the radius can be found by dividing the lateral surface area by twice the product of π and the height of the cylinder.

Answer:

Option B is correct

The maximum revenue that the company can make from the treadmill sales is, $81,000

Step-by-step explanation:

Let x represent the number of treadmill x sold and y represents the number of treadmill y sold

As per the statement: Three times the number of treadmill y sold must be less than or equal to twice the number of treadmill x sold.

⇒[tex]3y\leq 2x[/tex]                    ......[1]

Also, it is given that the company has at most 100 treadmills to sell.

⇒[tex]x+y\leq 100[/tex]

using a graph tool for equation [1] and [2] as shown in figure given below;

⇒ the solution is the shaded area

The maximum revenue that the company can make is for the point, (60, 40)

⇒ x = 60 treadmills

and y = 40 treadmills

Maximum Revenue = [tex]60 \times 750 + 40 \times 900 = 45000+36000 = \$81,000[/tex]

Therefore, the maximum revenue that the company can make from the treadmill sales is, $81,000

Answer:

option A

Step-by-step explanation:

The following ordered pairs are solutions to a linear equation: (-20, 11.5), (-21, 12), and (-22, 12.5).

Frame the equation of line y=mx+b using ordered pairs

(-20, 11.5), (-21, 12)

[tex]slope m = \frac{y_2-y_1}{x_2-x_1} =\frac{12-11.5}{-21+20}=-0.5[/tex]

m= -0.5

Now plug in (-21,12)  and find out b

y=mx+b

12= -0.5(-21) + b

12= 10.5 +b

Subtract 10.5 on both sides

So b= 1.5

Equation of line is y=-0.5x + 1.5

Slope is negative so graph will be decreasing

Option A  and option C graphs are decreasing

y intercept is the b values = 1.5

y intercept is (0,1.5)

Lets find x intercept

Plug in 0 for y in the equation y=-0.5x+1.5

0 = -0.5x+1.5

subtract 1.5 on both sides

1.5 = -0.5x

Divide by -0.5

so x= 3

So x intercept is (3,0)

Option A graph has x intercept (3,0)  and y intercept (0,1.5)

Answer:

area of base =  [tex]\pi r^2[/tex]

where 'r' is the radius

Step-by-step explanation:

Volume of the cylinder formula = [tex]\pi r^2h[/tex]

volume of cylinder = area of base * height

The base of a cylinder is a circle. so we use the area of circle for the base of cylinder while finding volume

We know area of the circle is [tex]\pi r^2[/tex]

So area of the base of cylinder is  [tex]\pi r^2[/tex]

To find volume of the cylinder , we multiply the base of the cylinder with height

To determine the base of the cylinder we need radius of the cylinder

area of base =  [tex]\pi r^2[/tex]

where 'r' is the radius

Answer: c

Step-by-step explanation: teehee

Answer:

y intercept

Step-by-step explanation:

At first I didn't think there was enough information, but there is. In general terms, for any polynomial which is also a function, making x = 0 gives the point where (0,b) = the y intercept.

For example

using f(x) = x^2 + 4x + 6 when x = 0 the result left is f(0) = 6 so the y intercept is (0,6)

If you have x^2 + 6x the y intercept is (0,0)

Hello.

The Answer: A. 300 ft^2

Step-by-step explanation: Find the area of two sides (Length*Height)*2 sides.

Find the area of adjacent sides (Width*Height)*2 sides.

Find the area of ends (Length*Width)*2 ends.

Add the three areas together to find the surface area.

Formula: A= 2( W l + H L + H W)

Have a nice day.

Answer:

A   300 ft2

Hope this help's!

Answer: y = 0

Step-by-step explanation:

[tex]\frac{x^{0}}{x^{2}}[/tex]

exponent of denominator > exponent of numerator so, y = 0

*****************************************************************************

Answer: [tex]y=\frac{x^{2}+8}{3}[/tex]

Step-by-step explanation:

y = [tex]\sqrt{3x-8}[/tex]

To find the inverse, swap the x's and y's and solve for "y":

x = [tex]\sqrt{3y-8}[/tex]

x² = 3y - 8

x² + 8 = 3y

[tex]\frac{x^{2}+8}{3}=y[/tex]

*****************************************************************************

Answer: -6x - 3h

Step-by-step explanation:

f(x + h) = 7 - 3(x + h)²

          = 7 - 3(x² + 2xh + h²)

         = 7 - 3x² - 6xh - 3h²

-f(x) = -(7 - 3x²)

     = -7 + 3x²

f(x + h) - f(x) = 7 - 3x² - 6xh - 3h² -7 + 3x²

                   = -6xh - 3h²

                   = h(-6x - 3h)

[tex]\frac{f(x+h)-f(x)}{h}=\frac{h(-6x-3h)}{h}[/tex]

                    = -6x - 3h

Answer:

Step-by-step explanation:

Step 1: Calculate the change by subtracting old cost ($52) from the new cost ($64)

Step 2: Divide that change by the old cost ($52).  You will get a decimal number

Step 3: Convert the decimal number to a percentage by multiplying by 100%

Answer:

10

Step-by-step explanation:

7 2/9 + 2 7/9  common denominators already the same so add

7+2=9 first start with the whole number

2/9 + 7/9= 9/9 = 1 then add the fractions

9+1=10 then add the whole number and fraction

Answer:

10

Step-by-step explanation:

Two possible rectangular gardens with different side lengths and an area of 48 square yards are:

Square garden: 6 yards by 6 yards

Long and narrow garden: 8 yards by 6 yards

Given:

Total area of the garden = 48 square yards

Objective:

Find possible combinations of side lengths for rectangular gardens with the same area.

Step 1: Square Garden

Let the side length of the square garden be x.

Area of the square garden = x^2

Set the area equation: x^2 = 48

Solve for x:

Take the square root of both sides: x = √48

Approximate the value: x ≈ 6.928 yards

Therefore, a square garden with sides of approximately 6.93 yards will have an area of 48 square yards.

Step 2: Long and Narrow Garden

We know the total area is 48 square yards.

Try different values for the width (w) and calculate the corresponding length (l) using the area formula: l * w = 48

For example, if w = 6 yards:

Calculate the length: l = 48 / w = 48 / 6 = 8 yards

Verify that the area matches: l * w = 8 * 6 = 48 square yards

Therefore, a long and narrow garden with a length of 8 yards and a width of 6 yards will also have an area of 48 square yards.

i dont really unserstand what this is?

Answer:

t= u+v+w

Step-by-step explanation:

i did the test and got it right

Answer:

The answer would be 24

Step-by-step explanation:

7 pies= 1/4 so 7 times four (to equal whole) = 24

Answer:

A: 4.07 ounces

Step-by-step explanation:

17.0 - 12.93 = 4.07

Answer:

The weight of the mystery substance added by Tim is 4.07 ounces. Hence option A is correct.

Solution:

Given, Tim is measuring the weight (in ounces) of a substance for a science experiment.  

Tim added a mystery substance (m) to his experiment.  

Tim used the equation 12.93 + m = 17.0 to find out how much he added.

We have to find how much of the mystery substance (m) did Tim add to his experiment?  

Now, from the given equation, 12.93 + m = 17.0 → m = 17.0 – 12.93 → m = 4.07

Hence, the weight of the mystery substance is 4.07 ounces, i.e. option A is correct.

Answer:

-20,-15,-13,-10,3,15,16

Step-by-step explanation:

negative to positive

She drove 2 hours at 35 miles per hour for a total of 35 * 2 = 70 miles.

She drove 3 hours at 48 miles per hour for a total of 48 * 3 = 144 miles.

Her total miles were: 70 + 144 = 214.

Her total driving time was 3 + 2 = 5 hours.

Divide her total miles by total time for her average speed:

214 / 5 = 42.8 miles per hour average speed.

Not sure if you need to round the answer or not.

Mrs. Padre's average speed for the entire trip is 42.8 miles per hour, which is calculated by dividing the total distance (214 miles) by the total time (5 hours).

To determine Mrs. Padre's average speed for the whole trip, we need to use the formula for average speed:

Average speed = Total distance / Total time

First, we calculate the distance traveled during each part of the trip:

Next, we sum up the total distance and total time:

Now we can calculate the average speed:

Average speed = 214 miles / 5 hours = 42.8 miles per hour

Answer:

Step-by-step explanation:

Alright, lets get started.

Suppose car was driven x miles in its 4 days trip.

Cost of a car rental is thirty dollar per day.

So, for 4 days, the car rental will be = [tex]30*4=120[/tex] $

For 1 mile, it adds fifteen cents,

So, for x miles, the cost will be = [tex]0.15 x[/tex] $

As per question, total rent is 180 $

Total rent will be = [tex]120 + 0.15 x = 180[/tex]

Subtracting 120 in both sides

[tex]0.15 x = 180-120=60[/tex]

[tex]x=\frac{60}{0.15}[/tex]

[tex]x=400[/tex]

It means car was driven 400 miles.   :   Answer

Hope it will help :)

Answer:

(f+g)(x) = 13x + 3

Step-by-step explanation:

Rewrite  f(x)=2x+7 and g(x)=11x-4 in columns, as follows:

f(x)=2x+7

+g(x)=11x-4

----------------

Now add each column separately.

f(x)+g(x) = (f+g)(x) ("the sum of functions f and g")

2x + 11x = 13x, and, finally, 7-4 = 3.

Therefore,

 f(x)=2x+7

+g(x)=11x-4

----------------

(f+g)(x) = 13x + 3

Answer:

F.MBFFBLKFDKGBKK FGLK doingTDKDT

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

If ABCD is a parallelogram, then AB = CD

AB=CD

6x-10 = 3x+5

Subtract 3x from each side

6x-3x -10 = 3x-3x+5

3x-10 = 5

Add 10 to each side

3x-10+10 = 5+10

3x = 15

Divide by 3 on each side

3x/3 =15/3

x=5

Answer:

6

i just did the test rn

Step-by-step explanation:

Answer:

The answer is 63 trucks.

Step-by-step explanation:

If we need 45 trucks with 3.5 ton each to do the job; then we have a 157.5 ton payload. So if we divide the 157.5 ton into 2.5 ton trucks we get a total of 63 trucks.

3.5 x 45 = 157.5

2.5 x 63 = 157.5

The number of trucks required with 2.5 payloads will be 32.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 45 trucks, each with a 3.5-ton payload, are needed to unload a freight train.

The number of trucks for 2.5 tons of payloads will be calculated as,

3.5 Tons of payload = 45 Trucks

2.5 Ton = ( 45 x 2.5 ) / 3.5

2.5 Ton = 32 Trucks

Therefore, the number of trucks required with 2.5 payloads will be 32.

To know more about an expression follow

https://brainly.com/question/2528088

#SPJ2

Answer:

See attached diagram

Step-by-step explanation:

Given quadrilateral has vertices at points A(-8,4), B(4,-4), C(0,-8) and D(-4,-4).

A dilation with a scale factor of [tex]\dfrac{3}{4}[/tex] and a center of dilation (0,0) has a rule

[tex](x,y)\mapsto \left(\dfrac{3}{4}x,\dfrac{3}{4}y\right).[/tex]

Then

See attached diagram for details.

Remark: If a scale factor is 34, then the rule is (x,y)→(34x,34y) and image vertices have coordinates (-272,136), (136,-136), (0,-272), (-136,-136).

Answer:

21 child tickets

Step-by-step explanation:

For this problem, you'd use a system of equations.

First, define your variables.

x = # of child tickets sold

y = # of adult tickets sold

There were 4 times as many adult tickets (y) as child tickets (x) sold, so:

4 x = y

4 x - y = 0

93 (4 x - y = 0)

372 x - 93 y = 0

The total revenue was $909.30, adult tickets were $9.30 each, child tickets were $6.10 each, so:

6.10 x + 9.30 y = 909.30

10 (6.10 x + 9.30 y = 909.30)

61 x + 93 y = 9093

372 x - 93 y = 0

433 x = 9093

433 x / 433 = 9093 / 433

x = 21

Answer:

1.5

Step-by-step explanation:

The real rate of return is calculated as the difference between rate of interest and the inflation.

so,Interest=2.5%

Inflation=1%

=2.5-1

=1.5%

Answer:

1.485 % ( approx )

Step-by-step explanation:

We know that,

[tex]\text{Real rate of return}=\frac{1+\text{Nominal rate}}{1+\text{Inflation rate}}-1[/tex]

Given,

Nominal rate = 2.5 % = 0.025

Inflation rate = 1 % = 0.01,

[tex]\implies \text{Real rate of return}=\frac{1+0.025}{1+0.01}-1[/tex]

[tex]=\frac{1.025}{1.01}-1[/tex]

[tex]=1.01485149-1=0.01485149\approx 0.01485[/tex]

Thus, the real rate of return is 0.01485 or 1.485 %.

Answer:

6 miles all together in them 8 days

Step-by-step explanation:

3/4 times 8

Answer:

6 miles in all

Step-by-step explanation:

3/4 *8 duh

The answer is 2,240 + 170n

2,240 in savings

210n

3

Henry saves each week

100n parents put in savings each week

thus,

2,240 + 210n

3

+ 100n

2,240 + 70n + 100n

2,240 + 170n

Answer:

2, -2 and 1/2

Step-by-step explanation:

As the the first coefficient is 2 and the last number is 4  1/2, 2, -2 seem likely zeros ( By the rational roots theorem).

f(2) =  2*8 - 4 -16 + 4 = 0 so 2 is a zero.

f(-2) = -16 - 4 +16 + 4 = 0  so -2 is a zero

f(1/2) = 2*1/8 - 1/4 - 4 + 4 = 0 so 1/2 is the other zero.

Since the highest degree is 3  the maximum number of zeroes is 3.

Answer:

Try math

way if you need help on apex

Step-by-step explanation:

Answer:2 times

Step-by-step explanation:

i did the assinment