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What additional piece of information must be known in order to calculate the volume of the cylinder below?

A cylinder with radius of 7 inches.

a) the diameter of a base
b) the height of the cylinder
c) the area of a base
d) the radius of a base

Four main functions of the roots of the plant is given by:

1. Anchorage

2. Absorption of water and minerals

4. Prevention of the soil erosion.

5. Transportation of food from the soil.

Four function of the roots of any terrestrial  plants:

Anchorage of the plant :Due to anchorage of the plant root fix in the soil  and help in growing the aerial shoot system part of the any tree or plant.

Absorption of water and minerals: It helps to absorb water and minerals from the soil to the roots of the plants .

Prevention of the Soil Erosion : Due to root of the plant soil gets binds to the roots of the plants and does not or in very less quantity get eroded by water or wind.

Transport : Roots of the plants helps to transport food , salt , mineral , and water which given or present in the soil to the shoot or leaves and flowers , fruit of the plant.

Therefore, the four functions of the roots are:

1.Anchorage of the plant

2. Absorption of water and minerals

3. Prevention of the soil erosion

5. Transportation of food.

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Answer:

x = -6

y = -18

Step-by-step explanation:

6x -2y = 0

x - y = 12

Times the second equation by -2!

6x -2y = 0

-2x + 2y = -24

Now add them together and solve for x first!

4x = -24

x = -6

Now put -6 back in the equation and solve for y

6(-6) -2y = 0

-36 - 2y = 0

-2y = 36

y = -18

So, x= -6

     y= -18

Answer: The image T(V) is defined as the set {k | k=T(v) for some v in V}. So x=T(y) where y is an element of T^-1(S). The preimage of S is the set {m | T(m) is in S}. Thus T(y) is in S, so since x=T(y), we have that x is in S.

Given a function f:A→B, and D⊆B, the preimage D of under f is defined as f−1(D)={x∈A∣f(x)∈D}. Hence, f−1(D) is the set of elements in the domain whose images are in C. The symbol f−1(D) is also pronounced as “f inverse of D.”

In geometry, figures in a plane can be transformed in a variety of ways, including shifts and scaling, to produce new shapes. The new (transformed) shapes are called images and the original, unaltered shapes are called preimages.

In geometry, figures in a plane can be transformed in a variety of ways, including shifts and scaling, to produce new shapes. The new (transformed) shapes are called images and the original, unaltered shapes are called preimages.

Step-by-step explanation:

Answer:

(0,2)

(1,-3)

(2,-8)

Answer: x = 64

Step-by-step explanation:

5/8x = 40

We divided by 5/8 from both sides

40/1 divided by 5/8 is the same as

40/1 times 8/5 = 320/ 5 = 64

x= 64

Answer:

i round off to two decimals

circumference = 2ñr

11 = 2(3.14)r

11 = 6.28r

r = 0.57 inches

volume = ñr²h

volume = (3.14)(0.57²)(8.5)

volume = (3.14)(0.33)(8.5)

volume = 8.81 inches³

circumference = 2ñr

8.5 = 2(3.14)r

8.5 = 6.28r

r = 0.74 inches

Volume - ñr²h

Volume = (3.14)(0.74²)(11)

Volume = (3.14)(0.55)(11)

Volume = 18 inches

i round off to two decimals

Step-by-step explanation:

The number of cans required to paint an area of 2000 square units is equal to 5 cans.

As given in the question,

Total area to be painted is equal to 2000 square units.

Area covered by one can of paint is equal to 400 square units

400 square units = 1 can of paint

⇒ 1 square units = ( 1 / 400 ) cans of paint

⇒ 2000 square units =  ( 2000 / 400 ) cans of paint

⇒ 2000 square units = 5 cans of paint

Therefore, the number of cans required to paint an area of 2000 square units using given can is equal to 5 cans.

The above question is incomplete, the complete question is:

How many cans of paint are needed to cover an area of 2000 square units if one can of paint covers in area 400 square units?

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Answer:

Yes, there is an error in the third step of the solution. The correct result of the third step should be -2x ≤ 8, not -2x ≤ -2. The error occurred because the incorrect value was subtracted from both sides of the inequality

Step-by-step explanation:

The final answer for the inequality 3x − 8 ≤5x + 6 is x ≥ -7, and the third step is wrong, the right answer is -14 ≤ 2x.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

3x − 8 ≤ 5x + 6

Add 8 on both sides of the inequality as shown below,

3x − 8 + 8 ≤ 5x + 6 + 8

3x ≤ 5x + 14

Subtract -3x from both sides as shown below,

3x - 3x ≤ 5x + 14 - 3x

0 ≤ 2x + 14

Subtract 14 from both sides as shown below,

0 - 14 ≤ 2x + 14 - 14

-14 ≤ 2x

Divide both sides by 2 as shown below,

-14 / 2 ≤ 2x / 2

-7  ≤ x

or x ≥ -7

Thus, the final answer is x ≥ -7.

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The expression that equals 2B−3A in standard form is - 9t² + 2t + 14

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

B = t + 10

Also, we have

A = 3t² - 2

The expression that equals 2B−3A is calculated as

Expression = 2B - 3A

Substitute the known values in the above equation, so, we have the following representation

Expression = 2 * (t + 10) - 3 *(3t² - 2)

So, we have

Expression = 2t + 20 - 9t² - 6

Evaluate the like terms

Expression = - 9t² + 2t + 14

Hence, the expression = - 9t² + 2t + 14

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Answer:

It has a constant order in the problem

X (Domain): 2 up every time Y goes up 1

Y (Range): 1 up every time X goes up 2

This is constant and will NOT be broken factor

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rena Roosh,  fun name  :P  so,  just use  your algebra skillz

2x + 5x = 3x + 16

I'm wondering if there is an extra "x" on the right hand side,  

anyway

7x -3x = 16

4x = 16

x = 4

see??

Answer:

Step-by-step explanation: Perform any simplification of like terms if possible

7x=3x+16

Collect x terms on one side. Can use the left side for x terms. That means 3x must dissapear. To do this we need to take 3x from both sides.

7x-3x=3x-3x+16

4x=16

To solve for x we need to divide by 4 on both sides

4x/4=16/4

x=4

No, All equilateral triangles need not to be always congruent with one another .

Justification of answer:

The reason is that although an equilateral triangle's angles are all 60 degrees, their corresponding sides are not necessarily the same .

1. All 3 side of an equilateral triangles have same length .

2. All 3 angles of an equilateral triangles have same measure.

3. Each angles of an equilateral triangles is 60 degree .

4. Area of equilateral triangles = [tex]\frac{\sqrt{3} }{4} *a^2[/tex]

5 . Perimeter of an equilateral triangles = 3*a

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The fraction of the occupied apartments is 9/10.

In mathematics, a fraction is a symbol for a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total apartments in the building = 200.

Also,

The number of apartments leased by realtor = 180

The fraction of the apartments which is occupied by realtor

= number of apartments leased /Total apartments

= 180 / 200

= 18 / 20

= 9 / 10

The required fraction is 9/10, implies that from each 10 apartments, 9 apartments are occupied.

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When two parallel lines are cut by a transversal, the four angles formed inside the parallel lines are called interior angles.

Interior angles are the angles formed between the two lines and the transversal that lie within the region bounded by the parallel lines. There are always four interior angles formed when two parallel lines are cut by a transversal. These angles are equal in measure and are supplementary to the corresponding exterior angles. In other words, the sum of an interior angle and its corresponding exterior angle is equal to 180 degrees. Understanding the properties of interior angles is important in geometry, as they can be used to prove the parallelism of lines.

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Answer:

Step-by-step explanation:

A cylinder has a volume of 45 cubic units and a radius of 3 units. What is its height?

A cylinder's volume is π r² h

we use the inverse formula

h=V/πr²

h = 45/π3²

h = 45/3.14 × 9

h = 45 : 28.26

h = 1.59 (1.6 rounded)

Answer: Adult: $20  Child: $9

Step-by-step explanation:

20 + 20 + 20 = 60

9 + 9 + 9 + 9 = 36

60 + 36 =96

To determine if the left end behavior of a polynomial function is rising or falling, you can look at the sign of the leading coefficient of the polynomial. If the coefficient is positive, the left end behavior is rising, and if the coefficient is negative, the left end behavior is falling.

The left end behavior of a polynomial function can be determined by looking at the sign of the leading coefficient. The leading coefficient is the coefficient of the highest degree term in the polynomial. If the leading coefficient is positive, then the left end behavior of the function is rising, because a positive coefficient will cause the function to increase in value as x increases. On the other hand, if the leading coefficient is negative, then the left end behavior of the function is falling, since a negative coefficient will cause the function to decrease in value as x increases. Knowing the sign of the leading coefficient is therefore a quick and easy way to determine whether a polynomial function is rising or falling on its left end.

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The equation of the line that has a slope of 3/5 and a y-intercept of 5 will be y = (3/5)x + 5.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is 3/5 and the y-intercept of the line is 5. Then the equation of the line is given as,

y = (3/5) x + 5

The equation of the line that has a slope of 3/5 and a y-intercept of 5 will be y = (3/5)x + 5.

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Answer:

Area = 9√3 cm²

Perimeter = 18 cm

Step-by-step explanation:

(√3/4) × 6²

= (√3/4) × 36

= 9√3 inches2

Perimeter of an equilateral triangle = AB+BC+CA

Perimeter of an equilateral triangle = 6+6+6

Perimeter of an equilateral triangle = 18 cm

Answer: 188.53$ in total.

$31.42 as hourly wage .

Step-by-step explanation:

Wage1 for 6hours = $12.4 * 6

Wage2 for 20minutes = $12.4 / 3

Since an Hour has three 20 minutes in it , so hourly wage $12.4 is divided by 3 to get the wage for a 20minute work.

Wage3 as Tips = $110

Total Wages for Tuesday = Wage1 + Wage2 + Wage3

                                           = $188.53

New hourly Wage = $188.53 / 6 = $31.42

The equation of the pyramid is as follow,

Volume is equal to one by third of the Area of the base into Height.

V=(1/3) X A X H, where A is area and H is height.

The sum of a pyramid's side faces makes up the lateral surface area.

LSA of the pyramid multiplied by the base's area gives the total surface area.

A pyramid is a 3D shape that has a base made of a polygon and faces that are all triangular and linked. The conventional form of a pyramid is created by joining each vertex of the base to a single common tip or apex. In this part, let's study more about pyramids.

The area encompassed between a pyramid's faces is referred to as the pyramid's volume. The formula for each pyramid varies based on the pyramid's foundation. The formula used to determine a pyramid's volume, which is expressed in cubic units, is as follows V=(1/3) X A X H.

Different forms of pyramids have varying amounts of surface area. The following formula is used to determine a pyramid's surface area:

Surface Area = Base Area + (½ × Perimeter of the base × Slant height)

Surface Area = Base Area + Lateral Area.

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Positive and negative signs in limits indicate whether the limit is approaching from the positive side or the negative side. If a amount is approaching from the positive side, the sign is positive; if it is approaching from the negative side, the sign is negative.

When taking the amount of a function, the positive and negative signs indicate the direction in which the limit is approaching. A positive sign means the limit is approaching from the positive side of the function’s domain, while a negative sign indicates the limit is approaching from the negative side. For example, if a limit is written as[tex]$\lim\limits_{x \to 3^+} f(x)$,[/tex]this means the limit is approaching from the positive side of the domain, when x is approaching 3. Similarly, if the limit is written as [tex]$\lim\limits_{x \to 3^-} f(x)$[/tex] this means the limit is approaching from the negative side of the domain, when x is approaching 3. Thus, the positive and negative signs in limits indicate the direction the limit is approaching from.

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Answer:

Step-by-step explanation:Charmaine wanted to study how the area of a rectangle changes with the length if its width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then plotted the results and connected them with a line, as shown below. The graph shows the area (in ) versus the length (in ).

Find the range and the domain of the function shown.

Answer:

hlo bro what's up where r u from

Applying basic unitary method and time conversion, The answer is 3750 calls annually.

The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

The unitary technique is used practically all the time, from problems involving speed, distance, and time to issues with estimating material costs. The technique is applied to determining a product's pricing. It is used to determine how long it takes a person or vehicle to travel a certain distance in an hour.

average length of call= 30 minutes

average travel time=30 minutes

annual working days=250

per day works 8 hours.

call hour in work = 8*60 - 30 = 450minutes.

number of calls made in those hours= 450/30=15 calls daily.

total annual number of calls= 250 * 15 = 3750

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(1) In general, switching the coordinates x and y is how an inverse is calculated.

(2) The function is a one-to-one function and the inverse is also a function if a horizontal line crosses the original function in a single place.

(3) We can find the inverse in algebra by replacing f(x) by y and then solve for x.

In general, switching the coordinates x and y is how an inverse is calculated. Although not strictly a function, this freshly constructed inverse is a relation.

To ensure that the initial function's inverse will be a function, the major purpose must be a one-to-one function. When every second element matches the first value, a function is said to be a one-to-one function.

To determine whether a function is a one-to-one function, use the horizontal line test. The function is a one-to-one function and the inverse is also a function if a horizontal line crosses the original function in a single place.

When a function's formula has been provided to you, follow these steps to discover its inverse:

(1) Change "f(x)" to "y".

(2) Make an effort to resolve the x= equation.

(3) Switch the xs and ys.

(3) Change y to "f1(x)"

We can find the inverse in algebra by replacing f(x) by y and then solve for x.

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The graph of x = 2 is a vertical line parallel to y-axis. Also, the slope of x = 2 is undefined and there is no y-intercept.

In this question we need to describe the graph of x is equal to 2.

To draw the graph of x = 2, firstwe find some coordinates of the points.

Consider the points (2, 1), (2, 0), (2, -1)

[As the x coordinate is fixed, we can take any value of y coordinate]

The graph of x = 2 is as shown below.

The graph of x = 2 is a straight vertical line, which is parallel to y-axis.

There is no y-intercept to the graph of x = 2.

Also the slope of line x = 2 is undefined.

Therefore, the graph of x = 2 is a straight line with Slope = Undefined

and no y-intercept.

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The percentage of students with GPAs greater than 1.66  is 88.22%.

To answer this question, we need to use the empirical rule, which states that 68% of the data is within one standard deviation of the mean. To calculate the percentage of students with GPAs greater than 1.66, we need to subtract the percentage of students with GPAs less than 1.66 from 100%.

The percentage of students with GPAs less than 1.66 can be calculated by subtracting 1.66 from the mean of 2.56, then dividing by the standard deviation of 0.45. This gives us 2.11 standard deviations below the mean, which corresponds to a percentile of 11.78%.

Therefore, the percentage of students with GPAs greater than 1.66 is 100% - 11.78% = 88.22%.

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Answer:

x = -5 or x = 17

Step-by-step explanation:

The absolute value is the number's distance from 0.

So, we need to write two equations.

x - 6 = 11

x - 6 = -11.

Next, we need to add 6 to both sides of each equations.

11 + 6 = 17

-11 + 6 = -5

So, x = 17 and x = -5.

Answer: It could be -5 or 17

Step-by-step explanation: So, it can be both, but as I see it would most likely be 17 because I see you put x-6 as an absolute value. so, to find the value of x, we could do 11 + 6 (Inverse operations), so 11 + 6 = 17. If it was NOT the absolute value of x-6, we could find it to be -5, by subtracting -6 from 11, to get -5. I hope this helps you understand now, if any questions please comment down below.