If the Cylinder's height equals to the diameter of its base , then the fraction of the total surface area of the cylinder to the total surface area of the two bases is 1/3 .
The curved surface area of the cylinder with height "h" and radius "r" is written as ⇒ [tex]2\pi rh[/tex] ;
the area of the top and bottom of the cylinder is ⇒ [tex]\pi r^{2} + \pi r^{2}[/tex] = [tex]2\pi r^{2}[/tex] ;
the total surface area of the cylinder will be ⇒ [tex]2\pi rh[/tex] [tex]+2\pi r^{2}[/tex] ....equation(1)
it is given that the height of cylinder is equal to the diameter of the base ,
that means ; [tex]h = 2r[/tex]
Substituting the value [tex]h = 2r[/tex] in the equation(1) ,
we get ,
total surface area of cylinder = [tex]4\pi r^{2} +2\pi r^{2}[/tex] = [tex]6\pi r^{2}[/tex]
So , the required fraction is = [tex]\frac{2\pi r^{2} }{6\pi r^{2} }[/tex] ,
On simplifying ,
we get ,
= [tex]\frac{1}{3}[/tex] .
Therefore , the fraction of two bases to the total surface area is [tex]\frac{1}{3}[/tex] .
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Numbered meridians Group of answer choices are semicircles are east-west lines diverge as they near the poles are the same thing as parallels are numbered from 0-100 in three hemispheres
Numbered meridians are semicircles.
On a map of the planet, the Prime Meridian is an illustrative line. It serves as the origin of the longitude system of measurement. Meridians, a system of fictitious north-south lines, make up longitude. The planet Earth rotates like a ball. The Earth's axis serves as the spin's focal point.
The North Pole and the South Pole are where the axis intersects the surface of the planet. The North Pole and the South Pole are the points on each meridian. Meridians are used to calculate how far away from the prime meridian you are in degrees east or west.
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Write an equation for the nth term of the geometric sequences. Then Find a6
A. 2, 8, 32, 128,.
B. 0. 6, -3, 15, -75,.
C. -1/8, -1/4, -1/2, -1,.
D. 0. 1, 0. 9, 8. 1, 72. 9,
We want to find an equation and the sixth term of the given geometric sequence.
The equation is: [tex]a_{n} = 4*a_{n}-1[/tex] and the sixth term is equal to 512
What is Geometric sequence?In a geometric sequence, each term is a constant times the previous term, so the general relation is:
[tex]a_{n} = k*a_{n}-1[/tex]
Here we can use any pair of consecutive terms to find the value of the constant, for example, if we use the first two, we have:
[tex]8 = k*2\\8/2 = 4 = k[/tex]
Now we know the value of the constant, then the general formula is: [tex]a_{n} = 4*a_{n}-1[/tex]
Now we can use this to get the sixth term:
[tex]a_{6} = 4*a_{5}-1=4*128 = 512[/tex]
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The sum of two consecutive even numbers is 34. What numbers is it
Answer:
16 and 18
16 + 18 = 34 .......... .....
-97.54 es racional o irracional
Respuesta: Racional
Explicación:
El número es racional ya que podemos representarlo como una fracción de enteros.
Más específicamente, -97.54 = -9754/100
-----------------------------------------------------------------------------
Translation to English:
Answer: Rational
Explanation:
The number is rational since we can represent it as a fraction of integers.
More specifically, -97.54 = -9754/100
Write the phrase as an expression.
7 fewer than a number s
An expression is
Answer:
u just do a variable minus 7
s-7=
Why do we use 1st and 3rd quadrant?
The usage of first and third quadrant is explained below.
The term quadrant in math is known as a region defined by the two axes (x-axis and y-axis) of the coordinate system.
Here we need to list down the usage of first and third quadrant is as follows:
As we all know that the Third Angle Projection schema imagines the object in the third quadrant.
And in one can place an object on the bottom of the horizontal plane and behind the vertical planes.
Where as the first angle projection is utilized mostly in the United States and it places the object between the observer and the object.
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What is the answer to 80.9-12.539
Gary, Mary, and Rory have the same number of candies. If Gary gives Mary half of all his candies, then Mary gives Rory half of all the candies she has at the moment, and then Rory gives Gary half of all the candies he (Rory) has at the moment, Gary would have 12 more candies than he had originally. How many candies do Gary, Mary, and Rory have altogether
Gary, Mary, and Rory have 96 candies altogether.
Let's assume that the original number of candies that Gary, Mary, and Rory had is "x".
After Gary gives Mary half of all his candies, he would have x/2 candies.
Then, after Mary gives Rory half of all the candies she has at the moment, she would have x/4 candies.
And then, after Rory gives Gary half of all the candies he (Rory) has at the moment, he would have x/8 candies.
Now, we know that Gary would have 12 more candies than he had originally, which means:
x/2 + x/8 = x/2 + x/4 - 12
We can combine like terms and simplify the equation:
x/2 + x/8 = x/4 + x/4 - 12
x/8 = 12
x = 8 * 12
x = 96
Thus, Gary, Mary, and Rory have 96 candies altogether.
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Simplify (s^-5)^3. Write your answer using only positive exponents.
The given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
What is exponent?Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -
[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
where -
[b] = base of the logarithm
[x] = exponent
Given is the expression as follows -
(s⁻⁵)³
We can write the expression as -
(s⁻⁵)³ = (1/s⁵)³ = (1/s¹⁵) = (1/s)¹⁵
Therefore, the given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
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find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 3
The Volume of largest Right Circular Cylinder that can be inscribed in Sphere of radius 3 cm is 65.3 cm³ .
Let the half height of of the cylinder be = h ;
we use h instead of [tex]\frac{h}{2}[/tex] for easier simplification ,
In order to find the Volume of cylinder , we multiply the area of top with the total height of cylinder .
So , Volume = [tex]\pi \times (Radius Of Cylinder)^{2}\times (Height Of Cylinder)[/tex]
Volume = [tex]\pi \times (\sqrt{r^{2} -h^{2} } )^{2}\times (2h)[/tex];
Volume [tex]= 2\pi h(r^{2} -h^{2} )[/tex]
Now , we need the derivative of volume function and equate to 0. If we move the h inside parenthesis, we only need to use power rule to get derivative.
So , we get , V = [tex]2\pi (r^{2} h-h^{3} )[/tex] ,
On simplifying further ,
we have ,
Volume of Largest Right Circular Cylinder ⇒ [tex]\frac{4\sqrt{3} \pi r^{3} }{9}[/tex] ;
it is given that radius of sphere is = 3 cm ,
Substituting value of radius in Volume formula ,
we get ,
V = [tex]\frac{4\sqrt{3} \times 3.14\times 3^{3} }{9}[/tex] ;
V = 65.2636 cm³
V ≈ 65.3 cm³.
Therefore , the volume of the largest right circular cylinder is 65.3 cm³.
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If there are 10 fish in a tank 5 escaped 2 died.
How many are left?
Pls help
Answer: 8
Step-by-step explanation:
Its a fish tank no fish can escape. So 10-2 because 2 fish died and that is 8.
So you have 8 fish.
Hope this helps
Please help here’s an image
On solving the provided question we can say that - the domain of the function f(x) = [tex]sinx(e^{-x})[/tex] will be = ( [tex]\frac{-\pi }{2} , \frac{\pi }{4}[/tex] )
what is domain?The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.
so, we have
f(x) = [tex]sinx(e^{-x})[/tex]
the domain = ( [tex]\frac{-\pi }{2} , \frac{\pi }{4}[/tex] )
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What happens when you log an e?
When you log an e, you are essentially taking the natural logarithm of the number. This means that you are taking the logarithm of a number to the base e, which is about 2.718. The result of this calculation is the number of times the number must be multiplied by itself to get the original number.
For example, if you were to log an e, it would be equal to 1, since e x e = e. If you log a number bigger than e, such as 8, the result would be equal to 2.079, which means that 8 must be multiplied by itself twice (2.079 times) to get the original 8.
In general, when you log a number, you can think of it as a way of seeing how many times that number needs to be multiplied by itself to get the original number. This can be useful in many fields, from mathematics to engineering to physics, to find the mathematical relationship between two numbers.
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A model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time. How many packages of 5 wheels can be made from the 30 wheels?
Answer:
Step-by-step explanation:
6
The number of packages of 5 wheels can be made from the 30 wheels is 6.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time.
Now, number of packages of 5 wheels
= 30/5
= 6
Therefore, the number of packages of 5 wheels can be made from the 30 wheels is 6.
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PLEASE HELP ME ASAP!!!!!!!
In a party, the guest's attendance depends on their vehicle status. If they have four wheelers then the attendance of guests is 2500 and if they have two wheelers then the attendance of guests is 1500. If on the next party, 70% of families will have four wheelers and 30% of families will have two wheelers. What is the expected attendance of guests?
When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.
what is percentage ?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.
given
2500 guests are present when four-wheelers are available.
two wheelers, the number of guests is 1500,
making the total 2500 + 1500 = 4000.
70 percent of families will own four-wheelers, or 3000/4000/100.
30% of families will own two-wheelers, which equals 4000/100 * 30%, or 1200.
When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.
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The graph represents an object that is shot upwards from a tower and then falls to the ground. The independent variable is time in seconds and the dependent variable is the object’s height above the ground in meters.
A How tall is the tower from which the object was shot?
B When did the object hit the ground?
C Estimate the greatest height the object reached and the time it took to reach that height. Indicate this situation on the graph.
What are the zeroes of the function?
Correct option is B, The three zeros are 2, 3, -3.
The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0. The zeros of a function can be represented graphically as the x-coordinates (or x-intercepts) where the graph intersects the x-axis.
If a number's unit digit or end indicates a zero, it is a multiple of 10 and so divisible by 10. As a result, the amount of zeros at the end of every number determines how many times it may be raised to the power of 10.
y= (x-2)(x-3)(x+3)
The zeros of the above function are -
x = 2
x = 3
x = -3
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Is 4 a polynomial or not?
The term given to us is 4 , this is a constant number therefore this cannot be regarded as a polynomial.
An expression is said to be a polynomial if it also contains a variable along with constants which are joined with each other through various mathematical operations. These expressions usually have more than one terms.
A polynomial can be of various degrees such as one degree , two degree based upon that they are known as linear , quadratic , cubic polynomial etc. Unlike terms are polynomial terms in which the variables are different and also the same variables with different powers. Contrary terms are two or more terms that are not synonymous.
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Lionel bought 4 candy bar and 2 pack of gum at the ga tation and pend $9. 80. Two pack of gum cot the ame a three candy bar. Let g repreent the cot of a pack of gum and repreent the cot of a candy bar
The cost of a pack of gum bought by Lionel is $2.1.
Let the variable g represent the cost of a pack of gum.
Let the variable c represent the cost of a candy bar.
Since Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80, a linear equation that models this situation is;
4c + 2g = 9.80 ......equation (1)
Additionally, two packs of gum cost the same as three candy bars:
2g = 3c ......equation (2)
c = 2g/3 ......equation (3)
Substituting equation (3) in equation (1), we get:
4(2g/3) + 2g = 9.80
8g/3 + 2g = 9.80
14g/3 = 9.80
14g = 29.4
= 29.4/14
= $2.1
The cost of a pack of gum is $2.1.
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The complete question is -
Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80. Two packs of gum cost the same as three candy bars. Let g represent the cost of a pack of gum and c represent the cost of a candy bar. What is the cost of a pack of gum?
what is the common difference for this arithmetic sequence? -6, -2, 2, 6, 10, …
Answer:
The common difference is 4.
Step-by-step explanation:
please help: find TZ
Jason practiced making soccer goals and kept track of the results. he missed 3 goals but made 9 in one practice session. what can jason predict regarding goals made if his next practice session has 24 tries? jason will make 8 goals. jason will make 16 goals. jason will make 18 goals. jason will make 21 goals.
If Jason missed 3 goals and made 9 goals in one practice session the prediction we can make if the number of tries is 24 , then (c) Jason will make 18 goals .
Jason is practicing for making soccer goals and keeping a track of the results ;
the number of goals missed by Jason is = 3 goals ;
the number of goals that Jason made is = 9 goals ;
So , the total number of goals is = 12 goals ;
the ratio of making a goal to the total goals is = [tex]\frac{9}{12}[/tex] ;
So , the number of goals that Jason will make in 24 tries can be calculated as = [tex]\frac{9}{12} \times 24[/tex]
= [tex]9 \times 2[/tex]
= 18 .
Therefore , the Jason will make 18 goals in 24 tries .
The given question is incomplete , the complete question is
Jason practiced making soccer goals and kept track of the results. he missed 3 goals but made 9 in one practice session. What can Jason predict regarding goals made if his next practice session has 24 tries?
(a) Jason will make 8 goals.
(b) Jason will make 16 goals.
(c) Jason will make 18 goals.
(d) Jason will make 21 goals.
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i dont know how to do it
Answer:
x = 4
y = 28
Step-by-step explanation:
1) y = 7x
2) y = 2x + 20
substitute y = 7x into equation 2:
7x = 2x + 20 now you can solve for x:
7x - 2x = 20
5x = 20
x = 20/5 = 4
Plug x = 4 into either equation 1 or 2 to solve for y:
y = 7x = 7(4) = 28
True or false? The graph represents a function.
Answer:
true :)
Step-by-step explanation:
Please help I have a learning disability
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
72 - (63 - 8) and (72 - 63) - 8
yes, it uses the Identity Property
yes, it uses the Associative Property
yes, it uses the Commutative Property
No they are not equivalent. The first expression equals 17 and the second equals 1.
Answer: yes, it uses the Associative Property
Step-by-step explanation:
Z= [?]° i dont know how to type out the question
Answer: first u have to find the perimiter for each side
Step-by-step explanation:
the answer is 100 d z
PLEASE HELP!!! I need these answers for Geometry.
Answer: x=(y+9)5−32 simplified
Step-by-step explanation:
Does 4 8 10 make a right triangle?
No, 4, 8 and 10 cannot be the sides of a right triangle. So 4, 8 and 10 does not make a right triangle.
In a right triangle, the side opposite the right angle (the hypotenuse) is the longest side. The side opposite the 90-degree angle is the hypotenuse and it follows the Pythagorean theorem which states that the square of the hypotenuse is equal to the sum of the squares of the legs, so:
c² = a² + b²
In this case, c = 10, a = 8 and b = 4,
so 8² + 4² = 64 + 16 = 80 ≠ 10²
That is it does not follows the theorem. Therefore, 4, 8 and 10 cannot be the sides of a right triangle.
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Jordan made this design from three pieces of square-shaped cloth. What is the total area of the design jordan made? 4cm 6cm 8cm Explain how you found your answer
The design has a total area of 116 cm² when measured using the area of a square.
What is the area?The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.
Create a square on paper by using a pencil.
Two dimensions make it up.
A shape's area on paper is the space it takes up.
Given that a square has equal sides, we can calculate its area as follows:
A = s²
The photograph below illustrates the three square-shaped pieces of fabric that Jordan used to create the design.
Find the area of each square-shaped piece of fabric and add them all up to get the total pattern area.
Inferring the area of a square, the total area would be as follows:
Total Area = 4² + 6² + 8²
Total Area = 116 cm²
Therefore, the design has a total area of 116 cm² when measured using the area of a square.
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The number of dragons of Westeros rose by a shocking 15% this year if there were 300 dragons this year how many are there this year
If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then there will be a total of 345 dragons in this year.
The percentage increase in the number of dragons in Westeros rose = 15%
The total number of dragons in Westeros rose in previous year = 300
So, for calculating the total number of dragons in Westeros rose in this year we will first find the value of 15% of 300 and then add it to 300.
So, finding the value of 15% of 300
As we know, for removing the percentage sign we will divide the given number by 100
So, the value of 15% of 100 = (15/100)*300 = 45
So, the value of the total number of dragons in Westeros rose in this year will be 300+45 = 345
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The correct question may be like:
If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then what will be a total of dragons in this year?