A cylinder has a radius of 12 m and a height of 9 m. what is the exact volume of the cylinder? responses 108π m³ 108 pi, m³ 216π m³ 216 pi, m³ 972π m³ 972 pi, m³ 1296π m³

The given function,[tex]y=20(0.8)^x[/tex] is an exponential decay.

What is an exponential function?

An exponential function is a mathematical function of the form [tex]f(x) = a^x[/tex], where "a" is a constant and "x" is the input variable. These functions are commonly used to model situations that involve continuous growth or decay.

The function ,[tex]y=20(0.8)^x[/tex]  represents exponential decay.

In the given function, a = 20 and b = 0.8, which is between 0 and 1. Therefore, the function represents exponential decay. This means that as x increases, the value of y decreases, getting smaller and smaller. In this case, the base 0.8 represents the decay factor, and 20 represents the initial value or the y-intercept of the function.

Hence, the given function,[tex]y=20(0.8)^x[/tex]  is an exponential decay.

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The metric measurement will you use when telling your hairdresser how much to take off the ends is centimetres (cm).

The decimalized meter-based system of measurement that had been adopted in France in the 1790s was replaced by the metric system. The International System of Units (SI), which was invented/created in the middle of the 20th century with the help of an international standards body, was the historical culmination of the development of these systems.

The term "metrication" refers to the adoption of the metric system. The historical development of metric systems has led to the acceptance of a number of principles. A single base unit of measurement expresses all of nature's essential dimensions. More and more often now, natural principles rather than replicas of physical artifacts are used to define base units.

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The approximate arc length of the circle of radius 1 unit is B. 0.785 units.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know, S = rФ, where S is the arc length, r is the radius and Ф is the measure of the angle in radians.

Therefore, When r = 1 and Ф = π/4,

S = 1×π/4.

S = 0.785 units.

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Amount Luigi received per day is $3,384.4 and Amount Luigi received per hour is about $141

Profit is the difference between the revenue that an economic entity has received from its outputs and the total cost of its inputs.

The amount Mario invests = $500,000

Amount Luigi invests = $350,000

The ratio in which the profit was split after their first year = Within the same ratio of their initial investments

The amount of profit made by the business = $3 million

The ratio of their initial investment = 500,000 : 350,000 = 10 : 7

Therefore, the ratio in which the profit is split = 10 : 7

The amount Luigi received in a year = (7/(10 + 7)) × 3 = 1235294 2/17

The time unit conversion from year to day is presented as follows;

Number of days in a year = 365 days

The amount Luigi received per day = (1235294 2/17)/365 = 3384 456/1241

= 3384.4

The amount Luigi received per day = $3,384.4

b) The number of hours in a day = 24 hours

Amount Luigi received per hour = (3384 456/1241)/24 = 141 19/1241

141 19/1241 = 141

The amount Luigi received per hour is about $141

Hence, amount Luigi received per day is $3,384.4

Amount Luigi received per hour is about $141

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The value on conversion of 300 Fahrenheit to Celsius will be equal to 148.8 Celsius depending on the relation.

The temperature in degree celsius is calculated using the formula -

Celsius = 5/9 (F - 32)

Now we need to keep the value of fahrenheit in the formula where F represents Fahrenheit

Celsius = 5/9 (300 - 32)

Firstly solving the bracket where subtraction sign is present. So, performing the subtraction first.

Celsius = 5/9 × 268

Performing division and multiplication on Right Hand Side of the equation

Temperature in Celsius = 148.8

Therefore, the temperature in Celsius is 148.8.

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A parabola equation calculator is an online tool used to find the equation of a parabola based on its vertex and focus points, or other given parameters.

A parabola equation calculator is a type of math calculator used to find the equation of a parabola based on certain given parameters. These parameters could include the vertex and focus points, the directrix, or the x- or y-intercepts. By inputting these parameters into the calculator, users can obtain the equation of the parabola, which is a quadratic function in the standard form y = ax² + bx + c.

Parabolas are widely used in physics and engineering applications, such as the trajectory of a projectile, the shape of a satellite dish, or the design of a parabolic solar collector.

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Answer: 1,68

Step-by-step explanation:

A printer company has two locations with a total of 23 employees. Then, there are 08 employees are at smaller​ location and there are 15 employees in larger location.

System of Equation:

In algebra, a system of equations consists of two or more equations and finds a general solution to the equations. "A system of linear equations is a set of equations satisfied by the same set of variables."

The systems of equations discussed above are sets of equations that find general solutions for the variables involved. The following equation is an example of a system of equations.

2x - y = 12

x - 2y = 48

Let,

L = Number of employee at larger location.

S =  Number of Employee at smaller location.

Since,

If Four times the number of employees at the larger location is four greater than seven times the number of employees at the smaller​ location.

Therefore,

    4L = 7S +4                  ------------------------- (1)

And, L+S = 23

      ⇒ S = 23- L

Putting S = 23-L in equation(1),

   4L = 7(23-L) + 4

⇒ 4L = 161- 7L + 4

⇒ 4L +7L = 161 + 4

⇒ 11L = 165

⇒ L = 15

Therefore, in the larger location there are 15 employees.

Now,

Putting L = 15 in:

S = 23 -L

S = 23-15

S = 8

Therefore, there are 08 employees in the smaller location.

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As per the line segment, the location point of M is option (c) (16/5,19/5)

To answer the question, it is important to understand what a line segment is. A line segment is a part of a line that connects two points, usually denoted by X and Y.

Here we have consider that in this case, the line segment XY is divided by Point M such that XM/MY is equal to 2/3.

As we all know that this means that the ratio between the two parts of the line segment is 2:3. Therefore, the location point of M is (-16/5,19/5).

Therefore, the correct option is (c).

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Answer:

75 degrees

Step-by-step explanation:

since this figure has four sides we can figure out the measure of the interior angles by using the formula, (n-2)*180, where 'n' = number of sides

(4-2)180 = 2(180) = 360

also, we know that since AB is parallel to DC that the figure is a rhombus where adjacent angles are supplementary

therefore, we can find 'x' by writing this equation:

12x - 3 + 9x - 6 = 180

simplify:

21x - 9 = 180

21x = 189

x = 9

also, we know that opposite angles in a rhombus are equal so if we substitute '9' for 'x' in angle C we will know the measure of angle A:

m<A = 9(9)-6

m<A = 81-6

m<A = 75 degrees

Answer:

Step-by-step explanation:

If the coffee tastes like mud, it may be due to several reasons:

Overbrewing: If the coffee is brewed for too long or with too much coffee grounds, it can result in a bitter taste, and it may have a muddy texture.

Dirty equipment: Dirty coffee makers or dirty coffee cups can cause the coffee to taste like mud. Residual coffee oils, grounds, or bacteria can create an unpleasant taste.

Old coffee beans: Coffee beans that have been stored for too long or have expired can lose their flavor, making the coffee taste stale and muddy.

Poor quality water: The quality of water used to brew coffee can significantly affect its taste. Hard water, which has high mineral content, can give the coffee a muddy taste.

Poor quality coffee beans: Using low-quality coffee beans can result in a muddy taste. Coffee beans that are not roasted correctly or not freshly roasted can also create an unpleasant taste.

Ground coffee storage: If the ground coffee is not stored correctly, it can absorb moisture and other flavors in the air, resulting in a muddy taste.

To avoid a muddy taste in coffee, it is essential to use high-quality beans, grind the beans freshly, use clean equipment, and follow the proper brewing instructions. By doing so, one can enjoy a flavorful and satisfying cup of coffee.

Answer: $1.9

Step-by-step explanation:

A) 500

B) 54 minutes

C) 68cents and 60 cents

D)

E) $40.95

A proportion is a statement that says that two ratios are equal. They can be used in many everyday situations like comparing sizes, cooking, calculating percentages, and more.

Proportions can be written as equivalent fractions or as equal ratios.

A) 42% = 210

100% = (210 x 100)/42

= 500 people

B) 135 berries = 15 minutes

    486 berries = ??minutes

= (486 x 15)/135

= 54 minutes

C) unit price = $6.75/10 = 0.675cents or 68cents

    ii) unit price = $7.25/12 = 0.604cents or 60cents

D) Inconclusive question.

E) 40% of 65 = $26

65 - 26 = $39

Tax = 5% = $1.95

Total = $39 + 1.95

Final Price of jacket = $40.95

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Answer: the discount in dollars and cents was $10.40.

Step-by-step explanation: Austin bought some belts online for $26. With a 40% discount, the price of the belts is reduced by:

Discount = 40% x $26 = $10.40

So the new price after the discount is:

$26 - $10.40 = $15.60

Then a 10% processing fee is applied to the discounted price of $15.60, so the final price paid by Austin is:

Final price = $15.60 + 10% x $15.60 = $17.16

Therefore, the discount in dollars and cents was $10.40.

ANSWER : Austin got discount of 8.84 $ and 34% of price of belt.

EXPLANATION

Price of belts is $26.

Price of belts after discount of 40% = $15.6

(60% of 26 is 15.6)

Price of belt after processing fee of 10% = 17.16

(110% of 15.6 is 17.16)

Final discount in $ = Price of belt - Price of belt after processing fee

26-17.16=8.84

Final discount in % = (8.84*100)/26 =34%

The equation of the plane can be expressed as 3t2x - y - 3t2z = d, where d is a constant.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

The equation of the plane that contains the curve with the vector equation r(t) = (t, t3, t) can be found by taking the cross product of two vectors that are on the plane. Let the two vectors be v1 = (1, 0, 1) and v2 = (1, 3t2, 1). Taking the cross product of these two vectors yields v1 x v2 = (3t2, -1, -3t2). This vector is perpendicular to the plane. Therefore, the equation of the plane can be expressed as 3t2x - y - 3t2z = d, where d is a constant.

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The value of euros can be converted to dollars by simply multiplying euro by 1.06 so 120 euros be 127.89 dollars.

Unit conversion is the process of converting the dimension of a given quantum between colorful units, frequently by multiplicative conversion factors that alter the value of the measured volume without altering its goods.

The sanctioned currency of 20 of the EU's 27 member countries is the euro( symbol€; law EUR)( EU). By of 2023, this group of countries — officially known as the eurozone or euro area — will have around 344 million residers. One euro is equal to one hundred cents.

The United States bone ( symbol$; law USD; frequently shortened asUS$ orU.S. Bone to separate it from other bone - nominated currencies; also known as the bone ,U.S. bone , American bone , or informally buck) is the sanctioned coin of the United States and multitudinous other nations.

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Answer:

24.

Step-by-step explanation:

The pattern is clearly going up by twos.

So continuing the pattern,

1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

1 2  3   4 5   6   7   8   9   10  11    12   13

We can solve with composite functions just as we do variables, by substituting one function into the other.

[tex]f(x) = 3x - 5[/tex]

[tex]g(x) = x^2[/tex]

First, find [tex]f\circ g(x)[/tex] by substituting g(x) into f(x):

[tex]f(x) = 3x - 5\\f\circ g(x)=3(x^2)-5\\f\circ g(x)=3x^2-5[/tex]

Now, find [tex]f\circ g(3)[/tex]:

[tex]f\circ g(3)=3(3)^2-5\\f\circ g(3)=3(9)-5\\f\circ g(3)=27-5\\f\circ g(3)=22[/tex]

22

Answer:

1 and 1/4 (1.25)

Step-by-step explanation:

So imagine you have 2 pizzas. Your friend wants to bring one home. Your pizzas are both in two pieces, and your friend wants to take one whole pizza and a half of the second one. In the first graph, that friend takes

1 and 1/2 (1/2 meaning one half) or 1.5 (.5 being half)

To get the fraction for one half you have to think:

- How many slices are there in each pizza?

- How can I make this a fraction?

- If it says “1” for a whole pizza how much is half going to be?

If there are 2 parts to one pizza, and only 1 of the 2 parts are taken, it is considered 1/2.

Another way you show “1/2” is by putting “.5 (0.5)” at the end of a number. You can find “.5” by doing “1 ÷ 2”

You divide one and two because there is 1 pizza and 2 parts of it.

Now that you know how to figure out the first one, the second one should be easy!

But.. for some reason, the “1/2 (.5)” that we got earlier of the second pizza is cut in half!

You can see that they took one full pizza, and half of “1/2” of a pizza!

There are two simple ways to find out what number “half of a half of a pizza” is!

For the first, you can count the blocks!

In this case, there are 4 blocks (4 slices), in a pizza. One pizza has all 4 blocks filled, meaning one whole pizza is taken by your friend, and only 1 block is filled in on the second pizza! You can say, for the second pizza, that your friend took “1/4” of a pizza.

You get this by seeing that out of 4 blocks that could be filled, only 1 is!

Which gives you the answer “1/4 (0.25)”

Or you could divide!

If you look you can see there are 2 parts where “1/2” was. If you want to find what half of “1/2” is, you could write the equation:

“1/2 ÷ 2”

The answer you get is also “1/4 (0.25)”

You divide “1/2” and “2” because you want to find what one of 2 parts of 1/2 is.

Now that you know that there is one full pizza and 1/4 of a pizza, your final answer comes out to be 1 and 1/4 (1.25) because you combine the two answers together.

The correct inequality representing the given conditions is option (d) "f ≤ 200".

This is because the combined weight of the stove and the freezer must be at least 370 pounds, and the weight of the stove is already known to be 170 pounds. This means that the weight of the freezer must be less than or equal to the remaining 200 pounds in order to satisfy the total weight requirement. In other words, the inequality that describes the conditions for the weight of the freezer is "f ≤ 200".

In mathematics, an inequality is a statement involving two values that are not equal.

It can be used to compare two values and determine the relationship between them. In this case, the inequality "f ≤ 200" is used to compare the weight of the freezer to the known weight of the stove, in order to determine the maximum possible weight of the freezer.

Therefore, the correct option is (d).

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Each child would get 7/8 of a pound of candy from each pinata.

To find out how much candy each child would get, we need to first determine the total amount of candy in all four pinatas, and then divide that amount by the total number of kids who will be sharing the candy.

To start, we can convert the 10 1/2 pounds of candy into a mixed fraction:

10 1/2 = 10 + 1/2 = 20/2 + 1/2 = 21/2

So the Pickle Family had 21/2 pounds of candy to fill the pinata.

To find out how much candy each piñata would have, we can divide the total amount of candy by the number of piñatas:

21/2 ÷ 4 = 21/2 × 1/4 = 21/8

So each pinata would have 21/8 pounds of candy.

Now we need to determine how much candy each child would get. Since each pinata will be shared among 6 kids, we can divide the amount of candy in each pinata by 6:

21/8 ÷ 6 = 21/8 × 1/6

= 7/8

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The required height of the triangle whose area and base are given is 9 yd.

The area of a triangle in a two-dimensional plane is the space that it completely encloses. A triangle is a closed shape with three sides and three vertices, as is pretty obvious.The area of a triangle is the total space occupied by its three sides. The general formula for determining the triangle's area is half of the product of its base and height.

In the given question, we have to find the height of the given triangle ,

we know that ,

Area of triangle = base x height x 1/2.

63.9 = 1/2 × 14.2 × height

Height = (63.9 × 2) ÷ 14.2

Height = 127.8 ÷ 14.2

Height = 9 yd

Therefore , the height of the triangle is 9 yd .

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Answer:

Step-by-step explanation:

Answer: 21

Step-by-step explanation: Evaluate the first expression which is the cube root of 216. 6^3 equals 216 so the cube root of it is equal to six. Multiply it by 4 because thats what's its there for and you get 24. Subtract by 3 to get the final answer, 21.

Answer:

Below

Step-by-step explanation:

The shaded fraction is 160 / 360 ths of the entire area

   160/360 * pi (5)^2 = shaded area =~ 35 in^2

Similarly , the arc is 160/360 ths of the entire circumference

       160/360 *  pi ( 2 * 5) = 13.96 = ~ 14 inches

Answer:

Step-by-step explanation:

The answer is 15/40

Because 3 times 5 is 15 and 8 times 5 is 40

Answer:

15/40

Step-by-step explanation:

the equivalent fraction for 3/8 using 5 as a multiplier is :

3 x 5 / 8 x 5

= 15 / 40

The expression that can be used to determine if she has enough money to purchase the jeans would be discussed below.

The total amount of money given to Natalie by her mom= $40.

The original price of the jeans = $45

The discount percentage = 20% of 45

= 20/100 ×45/1

= 900/100 = $9

The price of the jeans after discount = $36

The percentage of tax deduction = 8% of 45

= 8/100 × 45

= 360/100

= $3.6

The price of the jeans after tax = 36+ 3.6 = $39.6

Therefore, the amount of money that the money gave to Natalie to purchase jeans will be enough.

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Answer: When you can do it with no outside help

Step-by-step explanation:

If you can do something without needing help or looking at your notes that probably means you understand the concept

Answer:

Step-by-step explanation:

If you understand how to solve and can solve an example math problem without help or mistakes, you probably know the concept.

The value of the missing angle 1 is 59⁰.

The value of the measure of angle 1 is calculated by applying the concept of sum of angles in a triangle and sum of angles on a straight line.

The measure of the angle adjacent to 139⁰ is determined as follows;

? + 139⁰ = 180⁰  ( sum of angles in a triangle )

? = 180 - 139

? = 41⁰

The value of the missing angle 1 is calculated as follows;

m∠1 + 41⁰ + 80⁰ = 180 ( sum of angles in a triangle )

m∠1 + 121 = 180

m∠1  = 59⁰

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The length of each side of the octagon with area of 392 square centimeters and an apothem of 14 centimeters is  7  centimeters .

Compared to lower sided shapes, an octagon's area is a little more complicated. A normal octagon's area is equal to 4 as. Where "s" stands for the octagonal side and "a" for the apothem, which runs straight from the pentagon's center to one of its sides.

The formula for the area of a regular octagon is:

A = 4 × apothem × side

Using this formula and the given values, we can solve for the length of each side of the octagon:

392 = 4 × 14 × side

Dividing both sides by 4 × 14, we get:

side = 392 ÷ (4 × 14)

Simplifying the right-hand side, we get:

side = 392 ÷ 56 = 7 cm.

Therefore, the length of each side of the octagon is  7 cm .

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