Evaluate the expression when g = 4 and h = 6.
h+7g

The volume of the cone is 1271.7 cubic units.

A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.

Given:

A cone has a diameter of 18 units and a slant height of 15 units.

That means the radius of the cone is 9 units.

The volume of the cone = (1/3)hπr²

The volume of the cone = (1/3)(15)(3.14)(9)²

The volume of the cone = 1271.7 cubic units.

Therefore, the volume is 1271.7 cubic units.

To learn more about the cone;

brainly.com/question/16394302

#SPJ1

The expected time taken for the system to fail is dependent on the specific details of the system in question.

However, if we assume that the three modes have equal probabilities of occurring and that the failure occurs when the system reaches a specific mode, we can use the concept of Markov chains to find the expected time until failure.

In this case, the expected time until failure would be the reciprocal of the probability of the system transitioning to the failure mode.

Therefore, if each mode has an equal probability of 1/3, the expected time until failure would be 3 units of time.

learn more about probability here:brainly.com/question/11234923

#SPJ11

Answer:

Answer in Explanation

Step-by-step explanation:

His reasoning is wrong. We can evaluate the validity of his reasoning by looking at the basics of what a polynomial is.

In the real sense of it, what makes a polynomial a polynomial is the power to which the variable is raised and not the integer attached to the variable.

In this case, we do not even have an integer attached.

What makes a polynomial a polynomial is that the variable is raised to an exponent or power which is a positive whole number ( integer)

In this case, while x^2 is a polynomial, x^-2 is not and also x^1/2 is not

Only x^2 is qualified as a polynomial because it is the only expression having its powers in positive integers

Hence; 0.5x^2 is a polynomial since it is raised to a positive whole number (integer)

Polynomials combine variables, constants and exponents.

Han's claim is incorrect

The product is given as:

\(\mathbf{10x^4 \times 0.5x^3 = 5x^7}\)

From the question, we understand that:

Han says \(\mathbf{0.5x^3 }\) is not a polynomial.

This is wrong because the exponent of \(\mathbf{0.5x^3 }\) is a whole number.

And as such, \(\mathbf{0.5x^3 }\) is a valid polynomial

Read more about polynomials at:

https://brainly.com/question/11536910

The sample size needed for the estimate to be within $500 with 90% confidence is 31.

We have,

To determine the sample size needed for the estimate to be within $500 with 90% confidence, we can use the formula:

Sample Size = (Z x Standard Deviation / Margin of Error) ²

In this case, the margin of error is $500, and we want a 90% confidence level, which corresponds to a Z-value of approximately 1.645 (obtained from a standard normal distribution table).

Substituting these values into the formula:

Sample Size = (1.645 x $9000 / $500) ²

Sample Size ≈ 30.071

Rounding up to the nearest whole number, the required sample size is 31.

Therefore,

The sample size needed for the estimate to be within $500 with 90% confidence is 31.

Learn more about sample size here:

https://brainly.com/question/10501147

#SPJ4

The linear approximation for S(2.75, 2.1) is approximately 7.9 times the area of a circle with radius 2.1.

(a) The surface area of the can can be divided into three parts: the top lid, the bottom lid, and the lateral surface.

The area of each lid is a circle with radius r, so the combined area of the two lids is 2πr^2. The lateral surface area is a rectangle with width 2πr (the circumference of the circle) and height h, so its area is 2πrh. Therefore, the total surface area is:

S(h, r) = 2πr^2 + 2πrh

(b) To calculate S(3,2), we plug in h=3 and r=2:

S(3,2) = 2π(2)^2 + 2π(2)(3) = 4π + 6π = 10π

To calculate Sr(3,2), we take the partial derivative of S with respect to r and evaluate at h=3 and r=2:

Sr(h,r) = 4πr + 2πh

Sr(3,2) = 4π(2) + 2π(3) = 8π + 6π = 14π

To calculate Sh(3,2), we take the partial derivative of S with respect to h and evaluate at h=3 and r=2:

Sh(h,r) = 2πr

Sh(3,2) = 2π(2) = 4π

(c) The linear approximation for S(2.75, 2.1) is:

S(2.75, 2.1) ≈ S(3,2) + Sr(3,2)(2.75-3) + Sh(3,2)(2.1-2)

We already calculated S(3,2), Sr(3,2), and Sh(3,2) in part (b), so we plug in the values:

S(2.75, 2.1) ≈ 10π + 14π(-0.25) + 4π(0.1) = 10π - 3.5π + 0.4π = 7.9π

Therefore, the linear approximation for S(2.75, 2.1) is approximately 7.9 times the area of a circle with radius 2.1.

To learn more about radius, refer below:

https://brainly.com/question/13449316

#SPJ11

The solution of equation is x=-3

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given

The equation;√x+3=-6

Now,

√x=-6-3

√x=-9

x=-3

Therefore the answer of the given equation will be -3

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

Answer:

y=0.25x+35

Step-by-step explanation:

if the truck doesn't have to travel at all, it costs $35 for the loading fee, so the y-intercept is (0, 35). As x increases by 1, y increases by 0.25, so the slope is 0.25. Therefore, the equation is y=0.25x+35

Answer:

y = .25 x + 35

Step-by-step explanation:

Total cost = cost per mile * number of miles * flat fee

y be the cost in dollars

x = miles

y = .25 x + 35

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

As per the details given, The curl of the vector field F is zero. The divergence of the vector field F is zero.

The vector calculus operators can be used to determine the curl and divergence of the vector field F(x, y, z) = yz(sin(xy))i - xz(sin(xy))j - cos(xy)k.

The cross product of the del operator () and the vector field F yields the curl of the vector field F:

∇ × F = ( ∂/∂x , ∂/∂y , ∂/∂z ) × ( Fx , Fy , Fz )

∂/∂x = ∂/∂y = ∂/∂z = 0

∇ × F = (0 , 0 , 0) × (yz(sin(xy)) , -xz(sin(xy)) , -cos(xy))

∇ × F = (0 , 0 , 0)

∇ · F = ( ∂/∂x , ∂/∂y , ∂/∂z ) · ( Fx , Fy , Fz )

Let's calculate the divergence:

∂/∂x = ∂/∂y = ∂/∂z = 0

∇ · F = (0 , 0 , 0) · (yz(sin(xy)) , -xz(sin(xy)) , -cos(xy))

∇ · F = 0yz(sin(xy)) + 0(-xz(sin(xy))) + 0*(-cos(xy))

∇ · F = 0

Therefore, the divergence of the vector field F is also zero.

For more details regarding divergence, visit:

https://brainly.com/question/30726405

#SPJ12

For the given figure, the area of the shaded region is obtained as 100 m².

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The area of shaded region can be obtained as -

Area of shaded region =  Area of rectangular concrete path - Area of rectangular lawn

The formula for area of rectangle is -

Area of rectangle  =  Length × width

The area of rectangular concrete path is -

Length  =  (30+2) m  =  32 m

width  =  (18+2) m  =  20 m

Area of rectangular concrete path  =  32 × 20

Area of rectangular concrete path  =  640 m²------(1)

The area of rectangular lawn is -

Length  =  30 m and width  =  18 m

Area of rectangular lawn  =  30 × 10

Area of rectangular lawn  =  540 m²------(2)

To find the are of shaded region subtract equation (2) from (1) =

Area of shaded region = (1) - (2)

Area of shaded region =  (640 – 540) m²

Area of shaded region =  100 m²

Therefore, the total area of concrete is 100 m².

To learn more about area from the given link

https://brainly.com/question/25292087

#SPJ1

A rectangular lawn 18 m by 30 m is surrounded by a concrete path 1 m wide. Draw a diagram of the situation and find the total area of concrete.

Below is a story that includes both integers -3 +7

Once upon a time, there was a young boy named Jack who loved to play video games. One day, while playing his favorite game, he was so engrossed that he didn't realize how late it had gotten. When he finally looked at the clock, he saw that it was already -3 degrees outside and he had to be at school in 7 minutes!

Panicking, Jack quickly shut off his game and raced to get dressed. He grabbed his backpack and ran out the door, but as he was running down the street, he realized that he had forgotten his math homework at home. Frustrated and upset, Jack thought to himself "I can't believe my score was -3 and now I'm going to be late to school by 7 minutes."

As he walked into class, he apologized to his teacher for being late and explained the situation. His teacher, understanding the predicament, gave him an extra 7 minutes to complete his math homework during class. Jack was relieved and grateful, and he made sure to always keep track of time while playing his video games.

From that day on, Jack made a promise to himself to balance his love for gaming and his responsibilities, and he kept a close eye on the clock. He knew that being -3 minutes late and +7 minutes early was the key to success in both his gaming and his studies.

This is the end of the story using  both integers -3 +7

Learn more about  integers on:

brainly.com/question/929808

#SPJ1

The cash price of the refrigerator is $408.

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, a new refrigerator has a price of $480.00.

The store will discount the price by 15% if the purchaser pays in cash.

Now, the discount is

15% of 480

= 15/100 ×480

= 0.15×480

= 72

Now, 480-72

= $408

Therefore, the cash price of the refrigerator is $408.

To learn more about the discount visit:

https://brainly.com/question/3541148.

#SPJ1

The area of the customer's yard is 580π.

The distance formula is given as -

d = √(x₂ - x₁)² + (y₂ - y₁)²

Given is that this grid represents the customer’s yard. The bottom left corner is the origin point  O(0, 0), and the x- and y- axes represent the two fences. The rose bush is at point P(16, 18).

We can write the area of the customer's yard -

A = πr²

Here -

r = d

r² = d²

We can write -

A = πd²

A = π {(x₂ - x₁)² + (y₂ - y₁)²}

A = π{16 x 16 + 18 x 18}

A = 580π

Therefore, the area of the customer's yard is 580π.

To solve more questions on scale factor , visit the link below -

brainly.com/question/30215119

#SPJ1

The measures of angles of the kite are ∠JHL = 91°

Given data ,

Let the kite be represented as KLHJ

where the measure of angle ∠HLK = 128°

And , the measure of ∠JKL = 50°

Now , kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles

So , the angles are

128° + 50° + 2x = 360°

On simplifying , we get

2x = 360° - 178°

2x = 182°

Divide by 2 on both sides , we get

x = 91°

Hence , the angle of kite is 91°

To learn more about kite click :

https://brainly.com/question/30482906

#SPJ1

Answer: the function only intersects the y axis

Step-by-step explanation:

Answer:

The function only intersects the y axis.

Step-by-step explanation:

See the attached worksheet.

The required experimental probability of spinning a number less than 3 is approximately 0.28, or 28%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The experimental probability of an event is found by dividing the number of successful outcomes by the total number of trials. To find the experimental probability of spinning a number less than 3, we need to count the number of successful outcomes and the total number of trials.

The successful outcomes are 1 and 2, which are numbers less than 3. There are a total of 8 spins for 1 and 6 spins for 2, for a total of 8 + 6 = 14 successful outcomes.

The total number of trials is the sum of the heights of all the bars, which is 8 + 6 + 9 + 11 + 9 + 7 = 50.

So the experimental probability of spinning a number less than 3 is:

14 / 50 = 7/25

So the experimental probability of spinning a number less than 3 is approximately 0.28, or 28%.

Learn more about probability here:

brainly.com/question/14290572

#SPJ9

The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.

Let us consider 'n' be the number of sides of the regular polygon.

Let 'y' be the measure of each of the exterior angle of regular polygon.

y = 30 degrees

Measure of each of the exterior angle of regular polygon 'y'

= ( 360° ) / n

⇒ n = ( 360° / y )

Substitute the value we get,

⇒ n = ( 360° / 30° )

⇒ n = 12

Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.

Learn more about regular polygon here

brainly.com/question/12092158

#SPJ4

The above question is incomplete, the complete question is:

How many sides does a regular polygon have when each exterior angle measures 30 degrees?

Answer:

see explanation

Step-by-step explanation:

cos F = \(\frac{adjacent}{hypotenuse}\) = \(\frac{FD}{EF}\) = \(\frac{5}{13}\)

sin F = \(\frac{opposite}{hypotenuse}\) = \(\frac{ED}{EF}\) = \(\frac{12}{13}\)

tan F = \(\frac{opposite}{adjacent}\) = \(\frac{ED}{FD}\) = \(\frac{12}{5}\)

Answer:

20/35

Step-by-step explanation:

The framed wall art Modern is 20 and the total is 35  so unless you have to simplify this should be the answer

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

Answer:

2 aliens are green.

Step-by-step explanation:

0.05 * 40 = 2

Answer:

3,5 .4,4.6,8.

Step-by-step explanation:

tfjfkggkhhkjgiifkgftthvgyybf

The price of a gallon of milk relative to a pound of butter is 1.25.

The price of a loaf of bread relative to a gallon of milk can be calculated by finding the ratio of the price of a loaf of bread to the price of a gallon of milk.

This ratio can be calculated as follows:

Price of loaf of bread / Price of gallon of milk

= $1.50 / $3.00

= 0.5

Therefore, the price of a loaf of bread relative to a gallon of milk is 0.5.

The price of a gallon of milk relative to a pound of butter can also be calculated by finding the ratio of the price of a gallon of milk to the price of a pound of butter.

This ratio can be calculated as follows:

Price of gallon of milk / Price of pound of butter

= $3.00 / $2.40

= 1.25

Therefore, the price of a gallon of milk relative to a pound of butter is 1.25.

To know more about price visit:

https://brainly.com/question/19091385

#SPJ11

Answer:

a. 121

b.2

Step-by-step explanation:

a.

33/3×11>11

11×11>11

121>11

b.

5×2/8<5

10/8<5

1.25<5

Answer: It is an equilateral square

Step-by-step explanation: it has 4 tick marks

Stratified sampling is a technique where the sample is split into exclusive groups proportional to the population and then simple random sampling is employed within those groups. So, option B is correct.

This sampling technique involves dividing the population statistics into smaller subgroups on certain given characteristics and then selecting a random sample of solution from each stratum based on the requirement.

This technique is best suitable when the type of population is heterogeneous with respect to characteristics of interest. This sampling uses Proportionate sampling which takes an equal stratum with population size. The output of data is identical to the entire population size.

To learn more about Stratified sampling

https://brainly.com/question/20544692

#SPJ4

The perimeter of triangle JKL is  determined as 68 units.

The perimeter of triangle JKL is calculated as follows;

The perimeter of triangle JKL is the sum of all the distance round the triangle.

Perimeter = length JK + length LK + length JL

AL = CL = 12

Length LK = CL + CK = 12 + 8 = 20

JA = JB = 14

KB = CK = 8

Length JK = JB = KB = 14 + 8 = 22

Length JL = JA + AL = 14 + 12 = 26

The perimeter of triangle JKL is calculated as;

Perimeter = 20 + 22 + 26

Perimeter = 68 units.

Learn more about perimeter of triangle here: https://brainly.com/question/24382052

#SPJ1

Answer:

12.5 feet

Step-by-step explanation:

8-5.5=2.5

15-2.5=12.5

The sun adds 2.5 feet to each shadow.