Which letter on the number line represents the solution to -2.5r = -20? A) Point P B) Point Q Eliminate C) Point R D) Point S

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:

4

Step-by-step explanation:

x = - 3

y - 4 = - 2.(x + 3)

y - 4 = - 2.(- 3 + 3)

y - 4 = - 2.0

y - 4 = 0

y = 4

I hope I helped you.

(-3, ?)

To find the missing value, which is "y", since you know x = -3, you can plug it into the equation to find "y"

y - 4 = -2(x + 3)

y - 4 = -2(-3 + 3)

y - 4 = -2(0)

y - 4 = 0  Add 4 on both sides

y = 4

Question

Kelly saved $150. That is 50% of the money she earned this summer. How much did Kelly earn this summer?

Answer:

Step-by-step explanation:

50% = 1/2 = 0.5

150 is the 50% of the money she earned this summer.

Solution

150 * 2 = 300$

Answer:

$300

Step-by-step explanation:

If 150 is 50% you multiply 150 by 2 to get 300 and that would make it 100% of what she got that summer.

Answer:

a) 4x + 20

b) y

c) 7x + 22

Step-by-step explanation:

Assuming these were originally 3 questions? Simply pack together the numbers and the numbers with letters.

Answer: 144x2y+11x+16

that is the correct answer.   144x2y+11x+16

Answer:

(a) what is the sample space for this chance process?

If we toss a coin three times then there are total [tex]2^{3}=8[/tex] outcomes

The sample space associated with the given chance process is:

[tex]S= \left \{ HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\right \}[/tex]

(b) what is the assignment of probabilities to outcomes in this sample space?

Since the given sample space has eight outcomes and we know that a fair coin is tosses three times. Therefore, the probability of all the events mentioned in the given sample space is same. Hence we have:

[tex]Probability = \frac{1}{8}[/tex]

When tossing a fair coin three times, the sample space includes all combinations of heads (H) and tails (T). With a fair coin, the probability of each possible outcome (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT) is equal, at 0.125.

When we're discussing the tossing of a fair coin three times, we're delving into the area of probability. (a) The sample space in this scenario is all the possible outcomes we could have. Those outcomes are: TTT, TTH, THT, THH, HTT, HTH, HHT, and HHH (Remember: H represents a head and T represents a tail).

(b) When we talk about the assignment of probabilities, we mean the likelihood of each potential outcome occurring. With a fair coin, it's equally likely to land on heads or tails - a 0.5 chance for each. Therefore, each of the eight possible outcomes has a 1/8 or 0.125 probability of occurring, granted that all outcomes are equally likely. So, for for instance, the probability of getting one head and two tails (HHT, HTH, THH) is 3/8 or 0.375, and similarly for all other cases.

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Answer:

M= D) 6

Step-by-step explanation:

just do 30 divided by 5=M

Answer:

D) 6 is your answer

Step-by-step explanation: You have to substitute the #'s in for m then multiply it by 5, and if it equals 30, it's your answer... But it has to be a true statement...

A) 3:

m x 5 = 30

3 x 5 = 30

15 = 30

FALSE

B) 4:

m x 5 = 30

4 x 5 = 30

20 = 30

FALSE

C) 5:

m x 5 = 30

5 x 5 = 30

25 = 30

FALSE

D) 6:

m x 5 = 30

6 x 5 = 30

30 = 30

TRUE

Answer:

(8, 85) Would make this relationship not a function because every time you count up 1 it goes up 10 and 8 would match to 80 not 85 making 8, 85 the ordered pair would not be on the graph.

Given Sue's speed of 10 miles per hour, we're looking for an ordered pair that does not fit the relationship y = 10x. While (2,20), (5,50), and (6,60) all fit this relationship, the pair (8,85) does not, hence it won't be on the graph.

Sue's speed on her bike is 10 miles per hour. This relationship can be graphed as a straight line in a coordinate plane because the speed remains constant - the distance covered increases uniformly over time. So, for each hour (x), she covers a distance of 10x miles (y). Therefore, we can identify the ordered pair that does not belong on the graph by determining which one does not fit the relationship y = 10x.

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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:

Approximately 11.99 years

Step-by-step explanation:

This is just a type of problem like finding how long it will take for you to get somewhere.  Like in finding how fast you need to go to go to a place that is 60 miles in one hour.  All you have to do is divide the distance of the star by the speed of light, and you get the amount of time it will take for the star's light to reach the Earth.

The time taken by the light to travel from a star to Earth is required.

It would take 12 years for the light to reach Earth.

Distance of star from Earth = [tex]1.135\times 10^{14}\ \text{km}[/tex]

Speed of light from star = [tex]9.4607\times 10^{12}\ \text{km/year}[/tex]

Time is given by

[tex]t=\dfrac{\text{Distance}}{\text{Speed}}\\\Rightarrow t=\dfrac{1.135\times 10^{14}}{9.4607\times 10^{12}}\\\Rightarrow t=11.996\approx 12\ \text{years}[/tex]

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Answer:

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

Step-by-step explanation:

negative to positive

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

To find the original quantity when given the percent it was reduced and the amount left, divide the amount left by the percentage that is left:

The bottle was reduced by 85%, which means there is 15% left left in the bottle ( 100% - 85% = 15%)

Now divide the amount left by the percentage left:

20 / 0.15 = 133.33

The original amount was 133.33 milliliters ( Round answer as needed)

Answer:

42 days.

Step-by-step explanation:

We have been given that Sherman goes golfing every 6th day and Brad goes golfing every 7th day.

To find the number of days after that both will go golfing on the same day we will find LCM of 6 and 7.

Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48,..

Multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56,...

We can see that least common multiple of 6 and 7 is 42, therefore, both will go golfing on the same day again on 42nd day.

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: 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:

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:

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.

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Answer:

[tex]3\frac{13}{20}=3.65[/tex] kg.

Step-by-step explanation:        

Let S be amount of strawberries picked in the afternoon.

We have been given that Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg less strawberries in the morning than in the afternoon and the strawberries picked in morning are [tex]2\frac{1}{4}[/tex] kg.

To find the amount of strawberries picked by Sheldon in the afternoon we will add [tex]2\frac{1}{4}[/tex] and [tex]1\frac{2}{5}[/tex]  :

[tex]S= 2\frac{1}{4}+1\frac{2}{5}[/tex]      

Upon converting our given mixed fractions into improper fraction we will get,

[tex]S= \frac{9}{4}+\frac{7}{5}[/tex]

Now let us have a common denominator.

[tex]S=\frac{9*5}{4*5}+\frac{7*4}{5*4}[/tex]

[tex]S=\frac{45}{20}+\frac{28}{20}[/tex]

[tex]S=\frac{45+28}{20}[/tex]

[tex]S=\frac{73}{20}[/tex]  

[tex]S=3\frac{13}{20}[/tex]  

[tex]S=3.65[/tex]

Therefore, Sheldon picked [tex]3\frac{13}{20}=3.65[/tex] kg of strawberries in the afternoon.  

Sheldon picks approximately 0.85 kg of strawberries in the afternoon.

To find out how many kilograms of strawberries Sheldon picks in the afternoon, we need to subtract 1 2/5 kg from the total he picks in the morning.

Given that Sheldon picks 2 1/4 kg of strawberries in the morning, we can subtract 1 2/5 kg from it:

2 1/4 kg - 1 2/5 kg = 9/4 kg - 7/5 kg = 45/20 kg - 28/20 kg = 17/20 kg.

Therefore, Sheldon picks 17/20 kg or approximately 0.85 kg of strawberries in the afternoon.

Answer:

864 calories came from fat. What I did was just subtract 2400 from 36% and got it.

Step-by-step explanation:

The calories that come out from fat will be 864 calories.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

A person ate 2400 calories in a day. Of these, 36% came from fat.

36% of 2400 = (36/100)2400

⇒ 864 calories.

Hence "The calories that come out from fat will be 864 calories".

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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.

Answer:

$16

Step-by-step explanation:

x*0.7=11.20

11.20/0.7=16

Answer:

B) 3 radians

Step-by-step explanation:

The arc length is the product of the radius and angle. You have ...

... 3 radians = 1 × angle

so

... 3 radians = angle

_____

Comment on units

The formula is

... s = rθ . . . . . where s is the arc length, r is the radius, and θ is the central angle in radians.

The units of both s and r are units of length, so the units of angle are ...

... (length units)/(length units) = <no units>

That is, "radians" are fully equivalent to "no units."

The trouble with this problem statement is that it expresses "arc length" in units of "radians." This only works if the units of the radius of the unit circle are "no units". Ordinarily, that would not be the case. The length of the radius of the unit circle is usually "one length unit." If the central angle is 3 radians, then the arc length is "3 length units," not "3 radians."

Answer:

Its option B -4

Step-by-step explanation:

Answer:

b) -4

Step-by-step explanation:

The roots are (1-sqrt5)  and (1+sqrt(5)

FOIL

first:1*1 =1

outer: 1 * sqrt(5) = sqrt(5)

inner -1*sqrt(5) = -sqrt(5)

last sqrt(5) * - sqrt(5) = -5

Add them together: 1+sqrt(5) - sqrt(5) -5  = -4

Answer:

11700

Step-by-step explanation:

The triangles are similar (presumably) because their ratios are the same for all three corresponding sides.

Equation

Givens

Solution

Answer:

11700

Step-by-step explanation: