what is significance of knowing the linear and non-linear portion of a standard curve

Based on the question, the volume of the cylinder is approximately 56,520 cubic meters.

The formula for the volume of a cylinder is seen as:

V = πr²h

where

V  = volume

r =  radius of the base

h = height of the cylinder.

Then by Substituting the given values, we will have:

V = π(10m)²(18m)

= π(100m²)(18m)

= 18000π cubic meters

To be able to  find the value to the nearest tenths place, we need to use π ≈ 3.14. hence:

V ≈ 18000 × 3.14

= 56520 cubic meters

Therefore, the volume of the cylinder is about 56,520 cubic meters to the nearest tenths place.

Learn more about cylinder  from

https://brainly.com/question/9554871

#SPJ1

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

Answer:

The length is 52 meters and the width is 23 meters.

Step-by-step explanation:

Let l stand for length, and w stand for width.

l = 2w + 6

The length is 6 more than twice the width.

2l + 2w = 150

Twice the length plus twice the width is the perimeter of a rectangle.

2(2w + 6) + 2w = 150

4w + 12 + 2w = 150

6w + 12 = 150

6w = 138

w = 23

l = 2(23) + 6

l = 46 + 6

l = 52

The value of the composite function (g o f)(6) is 3

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

f(x) = 2x + 3

g(x) = 1/5x

A. Find f(6)

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

f(6) = 2 * 6 + 3

So, we have

f(6) = 15

For the function (gof)(6), we have

g(x) = 1/5x

This gives

(g o f)(6) = 1/5 * 15

Evaluate

(g o f)(6) = 3

Hence, the composite function has a solution of 3

Read more about composite function at

https://brainly.com/question/10687170

#SPJ1

Complete question

Given that f(x) = 2x + 3 and g(x) = 1/5x

Compute (gof)(6)

A. Find f(6)

B. substitute the value of g(x) into the function f(x) in place of x

To find the limits and determine the value of k for the function f(x) = 6x + k when x² + 2x ≤ 3 and x > 3, we need to analyze the behavior of the function around x = 3.

a. Finding lim f(x) as x approaches 3:

Since the function is defined differently for x ≤ 3 and x > 3, we need to evaluate the limits separately from the left and right sides of 3.

For x approaching 3 from the left side (x → 3-):

x² + 2x ≤ 3

Plugging in x = 3:

3² + 2(3) = 9 + 6 = 15, which is not less than or equal to 3. Hence, this condition is not satisfied when approaching from the left side.

For x approaching 3 from the right side (x → 3+):

x² + 2x > 3

Plugging in x = 3:

3² + 2(3) = 9 + 6 = 15, which is greater than 3.

Hence, this condition is satisfied when approaching from the right side.

Therefore, we only need to consider the limit from the right side:

lim f(x) as x → 3+ = lim (6x + k) as x → 3+ = 6(3) + k = 18 + k.

b. Finding lim f(x) as x approaches 3 (in terms of k):

From part a, we found that the limit from the right side is 18 + k.

Since the limit does not depend on the value of k, it remains the same.

lim f(x) as x → 3 = 18 + k.

c. Determining the value of k for f to be continuous at x = 3:

For f to be continuous at x = 3, the limit from both the left and right sides should exist and be equal to the function value at x = 3.

The limit from the left side was not defined since the condition x² + 2x ≤ 3 was not satisfied when approaching from the left.

The limit from the right side, as found in part a, is 18 + k.

To make f continuous at x = 3, the limit from the right side should be equal to f(3). Plugging x = 3 into the function:

f(3) = 6(3) + k = 18 + k.

Setting the limit from the right side equal to f(3):

18 + k = 18 + k.

Therefore, for f to be continuous at x = 3, the value of k can be any real number.

To learn more about limits visit:

brainly.com/question/28971475

#SPJ11

13 is the value of z from the given figure.

The properties of the triangle are:

From the given figure,

∠ABE + ∠EBC =. 180

∠EBC = 180- ∠ABE

∠EBC = 180 - 9z -----(1)

∠ECB + 115 = 180

∠ECB = 65-----(2)

IN ∆EBC

∠BEC + ∠ECB + ∠EBC = 180

4Z + 180- 9Z + 65 = 180 ---------(from eq i & ii)

-5Z = -65

Z = -65/-5y

Z = 13

The value of z from the given figure is 13.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ1

Complete question:

Answer:  She would have to burn between 220 and 240 calories per minute to have a calorie burn rate between those of Martin and Paul.

Step-by-step explanation:

Martin:

360 calories / 30 min = 12 calories/min

Paul:

165 calories / 15 min = 11 calories/min

Kara:

Needs to burn between 11 and 12 calories/min, so we'll calculate the range:

11 calories/min x 20 min = 220 calories (minimum # calories she can burn)

12 calories/min x 20 min = 240 calories (maximum # calories she can burn)

Answer:

X=7

Step-by-step explanation:

Answer: h=11.9

Step-by-step explanation:

We know that the hypotenuse is 13 and we have the adjacent side of the angle 24. This means we can use cosine to solve.

\(cos(x)=\frac{adjacent}{hypotenuse} \\cos(24)=\frac{h}{13}\)

Multiply both sides by 13 to isolate h

\(cos(24)=\frac{h}{13} \\(13)cos(24)=\frac{h}{13}(13)\\13cos(24)=h\)

h=11.9

Answer:

31.42

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 31.4

Step-by-step explanation:

\((\stackrel{x_1}{-19}~,~\stackrel{y_1}{17})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{17}=\stackrel{m}{- 1}(x-\stackrel{x_1}{(-19)}) \implies y -17 = - 1 ( x +19) \\\\\\ y-17=-x-19\implies {\Large \begin{array}{llll} y=-x-2 \end{array}}\)

Answer:

y = -x - 2

Step-by-step explanation:

We are given that a line has a slope (m) of -1 and passes through (-19,17).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name

As we are already given the slope of the line, we can plug it into the equation.

Replace m with -1.

y = -1x + b

This can be rewritten to:

y = -x + b

Now, we need to find b.

As the equation passes through (-19,17), we can use its values to help solve for b.

Substitute -19 as x and 17 as y.

17 = -(-19) + b

17 = 19 + b

Subtract 19 from both sides.

-2 = b

Substitute -2 as b into the equation.

y = -x - 2

Answer:

210.65 ft

round as needed

Step-by-step explanation:

Law of Cosines

c^2 = a^2 + b^2 - 2abCosC

c^2 = 125^2 + 210^2 - 2(125)(210)Cos73

c^2 = 15,625 + 44,100 - 15349.5

c^2 = 44,375.5

c = 210.654931107724132

The difference in the Beatles length is 1 / 10 centimeters.

We have,

The lengths of Beetles are 4/5 cm and 7/10 cm.

So, the difference in the beetles length can be calculated as

difference between the beetles length = 4 / 5 - 7 / 10

                                                                 = 8 - 7 / 10

                                                                  = 1/10 cm

Thus, the difference in beetles length is 1/10 cm.

learn more about difference here:

brainly.com/question/30449218

#SPJ1

To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.

The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".

Learn more about differential equation here
https://brainly.com/question/32524608



#SPJ11

Answer:

27,648

-110,592

442,368

Step-by-step explanation:

each term is multiplied by -4

Answer:

Step-by-step explanation:

Using the formula for calculating speed expressed as shown;

Speed = Distance/Time

Given parameters

Distance = 280miles

Speed = 50miles/hour

Required

Time it will take t return

From the formula above, Time = Distance/ Speed

Substituting the given parameters

Time = 280/50

Time = 5.6 hours

Hence the time it will take the driver to return is 5.6hours

Step-by-step explanation:

Slope of the given line is 3, so slope of the perpendicular line is also 3.

using pt slope form,

y+3=3(x-6)

y+3=3x-18

y=3x-21

Explanation

In mathematics set is any collection of objects (elements), which may be mathematical or not.

in this case, we have two set

a)u={natural numbers less than 24}

b) prime numbers less than 24}:

if a number is divisible only by itself and by 1, then it is prime

so

the set ot prime number less than 24 is

I hope this helps you

Answer:

domain: x<2 or x>2

x-intercepts: (3/2, 0), (-3/2, 0)

If twice a certain number plus 4 is at the same number plus 10. Then the number is 6.

Let x = the number

According to the given statement, "Twice a certain number plus 4 is at the same number plus 10," we can form an equation:

2x + 4 = x + 10

Solve this equation to find the value of x.

2x - x + 4 = x - x + 10

x + 4 = 10

Next, subtracting 4 from both sides of the equation:

x + 4 - 4 = 10 - 4

Simplifying:

x = 6

Therefore, the number is 6.

Learn more about numbers here:

https://brainly.com/question/25734188

#SPJ1

Answer:

Step-by-step explanation:i need you to add

Since the black and white areas are equal, the folded sheet has four congruent right triangles with legs x and \frac{6}{2x}.  This is the same as the area of the unfolded sheet, so x satisfies the equation x^2 + (\frac{6}{2x})^2 = 6. Simplifying, we get x^4 - 6x^2 + 9 = 0$. This factors as (x^2 - 3)^2 = 0, so x^2 = 3. Therefore, a is \sqrt{3} centimeters from its original position.

We're given that the square sheet of paper has an area of 6 cm². To find the side length of the square, we'll take the square root of the area:

Side length = √(area) = √6 cm

Now let's focus on the folding part. When point A is folded onto the diagonal, a smaller square is formed with one of its vertices at point A. Let's call the side length of this smaller square x cm.

Since the visible black area is equal to the visible white area, that means the area of the smaller square is equal to half of the total area:

Area of smaller square = (1/2) * 6 cm² = 3 cm²

Now we can find the side length of the smaller square:

x = √(area of smaller square) = √3 cm

Since the smaller square is formed by folding, its diagonal is equal to the side length of the original square (√6 cm). We can now use the Pythagorean theorem to find the distance of point A from its original position:

Diagonal² = (side length of smaller square)² + (distance of A from original position)²

(√6 cm)² = (√3 cm)² + (distance of A from original position)²

6 cm² = 3 cm² + (distance of A from original position)²

3 cm² = (distance of A from original position)²

√3 cm = distance of A from the original position

So the distance of point A from its original position is √3 cm.

Learn more about the Area:

brainly.com/question/27683633

#SPJ11

108 lineal feet are there in 9 pieces of 2 x 10 lumber that are each 12 feet long. so, the correct answer is Option 2.

Here, we have,

given that,

there in 9 pieces of 2 x 10 lumber that are each 12 feet long

so, we get,

The total number of pieces = 9

The length of each 2 x 10 lumber = 12 feet

(2 x 10 represents the thickness and width of the lumber piece, respectively)

The total lineal feet

= The total number of pieces × The length of each 2 x 10 lumber

= 9 × 12

= 108 feet

Hence, the correct answer is Option 2.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ4

Answer:

Step-by-step explanation:

4/9 = 32 / x

Let x be any marble that is not red and the red ones.

Cross Multiply

4x = 9*32

4x = 288             Divide by 4

x   = 288/4

x = 72

So the whole bag contains 72 marbles.

Answer:

NO

Step-by-step explanation:

You need x on one side of the equation.

3+4x ≤ 2(1+2x)

3+4x ≤ 2+4x

  -4x       -4x

3 ≤ 2

Since there is no x value there is no solution

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4.

The probability that if you choose 2 people randomly from the 16 in the hospital, exactly one will need an x-ray is as follows:
Firstly, calculate the probability of choosing one person who needs an X-ray and one person who doesn't.

There are 4 people who need an x-ray and 12 who don't, so the probability for this is (4/16) * (12/15).

Now, calculate the probability of choosing one person who doesn't need an X-ray and one person who does. This is (12/16) * (4/15).

Now, add the probabilities to find the total probability.

The probability that exactly one person will need an x-ray is

(4/16) * (12/15) + (12/16) * (4/15) = 2/5

=0.4.

Learn more about probability:

https://brainly.com/question/251701

#SPJ11

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

If there are 16 people in a hospital and 4 need an xray, the probability that if you choose 2 people randomly, exactly one will need an xray is 0.56.

Total number of people in a hospital = 16

Number of people who need an x-ray = 4

Thus, the probability that if you choose 2 people randomly, exactly one will need an x-ray is given by;

P(one needs an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one needs an x-ray) = (4 × 12) / 16 × 15

P(one needs an x-ray) = 0.08

P(one doesn't need an x-ray) = (Number of people who need an x-ray × Number of people who do not need an x-ray) / Total number of people × Total number of people - 1

P(one doesn't need an x-ray) = (12 × 4) / 16 × 15

P(one doesn't need an x-ray) = 0.32

Now, we have to add both the probabilities of exactly one person needing an x-ray and exactly one person not needing an x-ray;

P(exactly one person needs an x-ray) = P(one needs an x-ray) + P(one doesn't need an x-ray)

P(exactly one person needs an x-ray) = 0.08 + 0.32P(exactly one person needs an x-ray) = 0.4

The probability that if you choose 2 people randomly, exactly one will need an x-ray is 0.4 or 40%.

learn more about 'probability'

#SPJ11

The triangular fence requires 26 yards of material, and the three sides of the fence are 13/4, 33/4, and 63/4 yards long.

A triangular fence requires 26 yards of material. The second side is five yards longer than the first side, and the third side is one less than twice the second side. The first side of the fence is the shortest, let's call it x. The second side is 5 yards longer, so it's x + 5.

The third side is twice the second side minus 1, which gives us 2(x + 5) - 1. Now we can use these equations to solve for x and find the length of each side of the fence:

x + x + 5 + 2(x + 5) - 1 = 26.

Simplifying, we get 4x + 13 = 26. Solving for x, we get x = 13/4.

Therefore, the three sides of the fence are 13/4, 33/4, and 63/4 yards long.

A triangular fence requires 26 yards of material. The second side is x + 5, and the third side is 2(x + 5) - 1.

Using these equations, we can solve for the length of each side of the fence. We can then simplify the equation to 4x + 13 = 26 to find the value of x. Solving for x, we get x = 13/4.

Therefore, the three sides of the fence are 13/4, 33/4, and 63/4 yards long.

In conclusion, the triangular fence requires 26 yards of material, and the three sides of the fence are 13/4, 33/4, and 63/4 yards long.

To know more about yards visit:

brainly.com/question/28062239

#SPJ11

To use logistic regression with a categorical dependent variable, at least one independent variable must be measured at the nominal or ordinal level.

Logistic regression is a statistical model used to predict categorical outcomes, typically binary outcomes (e.g., yes/no, success/failure). The dependent variable in logistic regression is categorical, representing different categories or classes. To predict this categorical outcome, independent variables (also known as predictors or features) are used. These independent variables can be of various types, such as continuous, ordinal, or nominal.

However, to properly apply logistic regression, it is necessary to have at least one independent variable that is measured at the nominal or ordinal level. This is because logistic regression models are designed to handle categorical data, and having such variables allows for the estimation of probabilities and the prediction of class membership based on the given independent variables.

To learn more about regression click here : brainly.com/question/28178214

#SPJ11