The formal for the valume v of a cylinder v=nr^(2)h,where is r is the radius of the base and h is height of the cylinder. solve the formal for h. then find the height of a cylinder with a valume of 36n cm^(2) and base with radius of 3 cm
The formula for the height of a cylinder is h = V / (π.r²) and the height of a cylinder with a volume of 36 cm³ and a radius of 3 cm is 4/π cm
Given a cylinder with a radius r and height h, then its volume is given by the formula:
V = π.r².h
Where:
V = volume
r = radius
h = height
To find the formula for the height, divide both sides by π.r²
V : π.r² = π.r².h : π.r²
or,
h = V / (π.r²)
The given parameters are:
V = 36 cm³
r = 3 cm
Substitute those parameters into the formula:
h = 36 / (π.3²)
h = 36 / (9π)
h = 4/π cm
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Write a polynomial function V to represent the volume of a round bale with the given dimensions
The polynomial function V to represent the volume of a round bale is V(x) = π(x + 5)²(x + 8).
What is Polynomial Function ?A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Let the dimensions of round bale is x+5 feet radius and 3 feet wide.
As we know that round bale is a shape of cylinder in which we will consider wide instead of height.
Volume of Round Bale (V) = πr²w
V = πr²w = π(x + 5)²[(x + 5) + 3]
V(x) = π(x + 5)²(x + 8)
Hence, we got the polynomial function that represent the volume of round bale is V(x) = π(x + 5)²(x + 8).
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David requires at least $250 to hold his birthday party. If David can save $43 a month, how many months will he need to save to be able to afford his birthday party?
a. Write an inequality that describes this situation.
b. Solve the inequality. Show all your work.
c. Write your answer in a complete sentence.
Answer:
b. Solve the inequality. Show all your work.
Step-by-step explanation:
Sally Barrett, a banjo player for a local band, earns $8.50 per hour.
What is her straight-time pay for a week in which she worked
22 hours?
The payment she gets after 22 hours of working is $187.
According to the statement
We have to find that the total amount she earned.
So, For this purpose, we know that the
Straight-time pay is the total amount of money you earn in a given pay period.
From the given information:
Sally Barrett, a banjo player for a local band, earns $8.50 per hour.What is her straight-time pay for a week in which she worked 22 hours?
Then
The amount she get as a rate per hour = $8.50
And
The time for which she works = 22 hours
Then
Pay she get after the work of the 22 hours = $8.50 * 22
Then
Pay she get after the work of the 22 hours = $8.50 * 22
Now multiply these to get the answer
Pay she get after the work of the 22 hours = $187
So, The payment she gets after 22 hours of working is $187.
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Read each question. Then write the letter of the correct answer on your paper.
What is the solution set of the equation (2 x-4)(x+6)=0 ?
(A) -4,6
(B) -4,6
(C) 2,-6
(D) -2,-6
The solution of the equation (2x - 4) (x + 6) = 0 is is x = {2, -6} (C)
The solutions of an equation means if we substitute these solutions into the variables of the equation, it will lead to the correct equality.
Suppose we have an equation in the form of:
(x - a) (x - b) = 0
This is called a factorization form. The equality will be true if either:
x - a = 0, orx - b = 0The given equation is:
(2x - 4) (x + 6) = 0
This equality will be correct if:
2x - 4 = 0
⇒ x = 2
or
x + 6 = 0
⇒ x = -6
Hence, the solution is x = {2, -6} (C)
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give the geometrical representation of y=3 as an equation in
a) one variable
b) in two variables.
The geometrical representation of y=3 as an equation in
a) one variable is y = 3
b) in two variables is 0x + y = 3.
How to illustrate the information?Based on the information illustrated, the geometrical representation of y=3 as an equation in one variable is y = 3.
Also, the geometrical representation of y=3 as an equation in two variables is:
y = 3.
0x + y = 3
0x + y - 3 = 0
Therefore, y = 3.
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On a typical work day, the bowling ball juggler
spends ¹/2 of his time stretching his fingers and
¹/5 of his time nursing his smashed toes. If the
juggler spends a total of 7 hours on these two
activities, how many hours does he typically
work each day?
He typically work each day for 10 hours.
According to the question, the expression can be written as:
The time taken to stretch the fingers = (1/2)t
Similarly, the time taken to smashed toes = (1/5)t
Total time = 7 hours
Now, the final expression can be written as:
(1/2)t + (1/5)t = (7)
(7/10)t = 7
t = 10 hours
Hence, he typically work each day for 10 hours.
What is time and work?
The time and work represents the problems deals with the time either with the individual or the group of the people to complete the piece of work. And the efficiency taken by each individual.
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Consider y = - 8x
Complete the table for the equation.
X y
-1 ?
0 ?
1 ?
2. Use Structure Why do you multiply by a power
of 10 when writing a repeating decimal as a
rational number?
Answer:The idea is to multiply by some number (10, 100, 1000, etc.) so that when we subtract the original number from the multiple, the repeating part cancels out. If we multiply by 10, we get 10x = 2
Step-by-step explanation: sorry if its wrong thats all i remember
What is the geometric mean of 8 and 18 ?
A 9
B 10
C 11
D 12
The geometric mean of a and b [tex]=\sqrt{a*b}[/tex] then the geometric mean of 8 and 18 is 12.
What is geometric mean?In Mathematics, the Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values. Basically, we multiply the numbers altogether and take the nth root of the multiplied numbers, where n is the total number of data values.
The geometric mean is used in finance to calculate average growth rates and is referred to as the compounded annual growth rate.
To calculate the geometric mean of two numbers, you would multiply the numbers together and take the square root of the result.
Geometric mean of a and b [tex]=\sqrt{a*b}[/tex]
Geometric mean of 8 and 18 [tex]$=\sqrt{8*18}[/tex]
a = 8 , b = 18
= √144
= 12
The geometric mean of 8 and 18 is 12.
Therefore, the correct answer is option D. 12.
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Evaluate each finite geometric series. 1/5 + 1/10 + 1/20 + 1/40 + 1/80
Evaluate each finite geometric series.
1/5 + 1/10 + 1/20 + 1/40 + 1/80=0.3875
What is the sum of a finite geometric series?
Given:
a=1/5
r=5/10 = 1/2
n=5
[tex]S_n=\frac{a(1-r^{n} )}{1-r} \\\\S_5=\frac{\frac{1}{5}(1-(\frac{1}{2}))^{5} }{1-\frac{1}{2} } \\\\S_5=\frac{1}{5} (\frac{31}{32} *\frac{2}{1}) \\\\S_5=\frac{1}{5} (\frac{31}{16} )\\\\S_5=0.3875[/tex]
What is a finite geometric series?
A geometric series is a series with a geometrically connected progression. A geometric series is a list of numbers where each number, or term, is found by multiplying the preceding term by a common ratio r. Because there are only a finite number of terms, we refer to this geometric series as a finite geometric series (an infinite geometric series continues on forever.)To learn more about finite geometric series, refer:
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Caylie's coin bank contains only dimes and nickels. The bank contains 46 coins. If 5 dimes and 2
nickels were removed, the total value of the coins would be $3.40. Find the number of nickels and the
number of dimes in the bank.
There were 29 nickels and 10 dimes in the bank.
We know that:
1 dime = 5 cents
1 nickel = 10 cents.
Also, $ 3.40 = 340 cents
Let the number of nickels be n and the number of dimes be d.
Now, we are given that:
5 dimes and 2 nickels were taken away.
So, total coins = 46 - 2 - 5 = 46 - 7
Total coins = 39
We get the equation:
n + d = 39
d = 39 - n
Now, we also know that:
5 d + 10 n = 340
d + 2 n = 68
Put the value of d, we get that:
39 - n + 2 n = 68
n = 68 - 39
n = 29
d = 39 - n
d = 39 - 29
d = 10
Therefore, we get that, there were 29 nickels and 10 dimes in the bank.
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State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Angles 4 and 6 are alternate interior angles.
The statement "angles 4 and 6 are alternate interior angles" is true
Given,
The statement " Angles 4 and 6 are alternate interior angles"
Here,
∠4 and ∠6 are lie opposite sides of the the transversal and both are nonadjacent interior angles .
So, ∠4 and ∠6 are alternate interior angles
Hence, the statement "angles 4 and 6 are alternate interior angles" is true.
The complete question is:
State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Angles 4 and 6 are alternate interior angles.
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Please help
let f(x)=-4x^3+9x^2-5x+132
Is x-1 a factor of f(x)
Is x+1 a factor of f(x)
Is x-4 a factor of f(x)
Answer:
x-4 IS a factor
Step-by-step explanation:
IF x-1 is a factor then putting x = 1 into the equation will make it = zero...... it does not
IF x+1 is a factor then putting x = -1 into the equation will result in = 0
it does not
IF x -4 is a factor , then puting in x =4 into tthe equation will = 0 it DOES !
A solid cylinder has a diameter of 8.4 cm and a height of 12.0 CM. Calculate the volume of a cylinder.
Answer:
Volume = 665 cm³
Step-by-step explanation:
We can calculate the volume of a cylinder using the following formula:
[tex]\boxed{\mathrm{Volume = \pi r^2 h}}[/tex],
where:
• r = radius of cylinder
• h = height of the cylinder
In the question, we are told that the diameter of the cylinder is 8.4 cm. Since the diameter is twice of radius:
[tex]\mathrm{radius = 8.4 \div 2}[/tex]
[tex]= \bf 4.2 \: cm}[/tex]
We are also told that the height of the cylinder is 12.0 cm. Therefore, using this information, as well as the formula above, we can find the volume of the cylinder:
[tex]{\mathrm{Volume = \pi \times (4.2 \mathrm{\: cm})^2 \times 12.0 \mathrm{\: cm}}}[/tex]
[tex]= \pi \times 17.64 \mathrm{\: cm^} \times 12.0 \mathrm{\: cm}[/tex]
[tex]\approx \bf 665 \: cm^3[/tex]
Therefore the volume of the cube is 665 cm³.
Need help asap please
Answer:
2) y= 4x+17
Step-by-step explanation:
y- y1 = m(x- x1)
y- 5 = 4 (x - (-3))
y-5= 4( x+ 3)
y-5= 4x+ 12
y= 4x+17
What is the formula for the volume of a cylinder, V= πr²h , solved for h ?
(F) h= r²πV (G) h= πV/r² (H) h= V/πr² (I) h= πr²/V
h= V/πr² is the formula for the volume of a cylinder, V= πr²h , solved for h.
⇒ V= πr²h
⇒ V/πr² = h
⇒ h= V/πr²
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every Linear equation can be solved easily.
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A company rents accessible bikes for people with physical disabilities. The scatter plot shows the relationship between the number of hours an accessible bike rented and the total amount paid at rental locations in different cities. Is the line y = 10x a good fit for the data? Use the drop -down menus to explain.
The Proportional relationship y = 10x is a good fit for the data.
What is a proportional relationship?
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality,
i.e., y = kx
In which k is the constant of proportionality.
For this problem, foe each value of x, the output is 10 times that, hence the constant is k = 10 and the proportional relationship y = 10x is a good fit for the data.
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Answer:
The Proportional relationship y = 10x is a good fit for the data.
How to construct a Right-Angled Triangle if I'm given two angles (excluding the 90° angle) and one side length?
Step-by-step explanation:
there are many construction vids if you need a visual, but first off you need to a ruler, compass and protractor. draw a straight line horizontally, leave enough space above to add the length given as vertical side.
on the straight line choose a point preferably near centre and. place compass on the point and open to any distance, on the pencil side, draw a semi circle cutting the horizontal line at two points.
label the two points a and b
place compass on point and draw a smaller curve from that point above the center then do the same on other side
remember do not change the Size the compass was opened at for drawing the curves
the two new curves you drew should intersect, using ruler, draw a straight line vertically through intersection and center point
this line can be the required length given
you will notice an inverted T shape
the angle will be 90deg on either side, measure to ensure
Divide.
−0.0468÷0.002
What is the quotient?
Enter your answer in the box.
Answer:
-23.4
Step-by-step explanation:
-0.0468 ÷ 0.002 = -23.4 (A negative divided by a negative is a positive!)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Write the equation in slope-intercept form. What are the slope and y -intercept?
a. 3 x+2 y=18
The equation in slope-intercept form is y = -3/2x + 9. Slope of the equation is - 3/2 and y - intercept is 9.
How do we find slope-intercept form?Calculate the slope (m).
Keep in mind that the slope is determined by dividing the change in y by the change in x. (rise over run).
Find the y-value of the y-intercept by solving (b).
In the formula y=mx+b, swap out m and b with their respective values.
The given equation is -
3x + 2y = 18
divide the equation by 2
3/2x + y = 9
Rearranging the equation -
y = -3/2x + 9
Comparing it with y = mx + c
so slope m = -3/2
and y - intercept = 9
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61-60÷2[35-3{-12÷6-4(15÷3-8)}]
Answer:
1/2(35-3(2-4)(5-8)
1/2(32(-2(-3))
1/2(32(-6))
1/2(192)
1into192/2
=96
Step-by-step explanation:
Mr. K needed to rent a moving van; U-Haul charges $90 per hour plus a $50 truck fee. Enterprise
charges $70 per hour plus a $90 truck fee. For what number of hours of rental is the cost for the two
companies the same?
A landscaper is forming an isosceles triangle in a flowerbed using chrysanthemums. She wants m∠A to be three times the measure of ∠B and ∠ C . What should the measure of each angle be?
The measurement of each angle is : m∠A = 108° , m∠B = 36° , m∠C = 36°.
What is an isosceles triangle ?In mathematics, an isosceles triangle is a triangle in which any of the two sides are equal. Or we can say that if a triangle has at least two sides of equal length then it is known as isosceles triangle. In geometry, isosceles triangle follow the property of congruency of triangles. That means in an isosceles triangle the two angles of equal sides are congruent to each other.
In the given question,
Let m∠B = m∠C = x , where m denotes measure of angle
therefore, m∠A = 3x
According to Triangle Angle-Sum Theorem,
m∠A + m∠B + m∠C = 180
thus,
3x + x + x = 180
5x = 180
x = 36
Hence,
m∠A = 3x = 180
m∠B = 36°
m∠C = 36°
Therefore, the measure of each angle A , B and C is 180°, 36° and 36° respectively.
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round 2,874.2878 to two decimal places
Answer: If your rounding to the second spot after the decimal it would be in the hundredths place so in case it would be 2874.29 Although I'm not sure if that's how you wanted it to be done.
Round the number 2,874.2878 to two decimal places will be 2,874.29.
What is the rounding of a number?The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.
The decimal number is given below.
⇒ 2,874.2878
Round 2,874.2878 to two decimal places.
If the third place after the decimal is more than 5, then the second place after the decimal will be increased by one.
In the third place after the decimal is 7, then the number 8 is increased by one that is 9.
Round the number 2,874.2878 to two decimal places will be 2,874.29.
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form a smimulatenous equation for : a cyclist completes a journey of 500 m in 22 seconds, part of the way at 10m/s and the remainder at 50m/s. How far does she travel at each speed?
The distance traveled in each section will be 150 meters and 350 meters.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
From a simultaneous equation for: A cyclist completes a journey of 500 m in 22 seconds, part of the way at 10m/s and the remainder at 50m/s.
Let x distance be covered with velocity 10 m/s in time t₁ and the remaining distance (500 - x) covered with velocity 50 m/s in time t₂. Then the equation will be
t₁ + t₂ = 22 ....1
Then the time t₁ will be
10 = x / t₁
t₁ = x / 10
Then the time t₂ will be
t₂ = (500 - x) / 50
Put the time in equation 1, then we have
x / 10 + (500 - x) / 50 = 22
5x + 500 - x = 1100
4x = 600
x = 150 meters
And the remaining distance will be
500 - x = 500 - 150
500 - x = 350 meters
The distance traveled in each section will be 150 meters and 350 meters.
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EASY POINTS WILL GIVE BRIANLIST TO BEST ANSWER
Slove then equation below and give the reasons for each step:
View photo
Use the Distance Formula to find the distance between the pair of points.
R(-2,3), S(3,15)
Using the distance formula, the distance between the pair of points R(-2,3) and S(3,15) is 13 units
Given,
The points = R(-2,3) and S(3,15)
We know the distance formula = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2} -y_{1})^{2} }[/tex]
Substitute the values in the equation
The distance = [tex]\sqrt{(3--2)^{2}+(15-3)^{2} }[/tex]
[tex]=\sqrt{5^{2}+12^{2} }\\ =\sqrt{25+144}\\ =\sqrt{169}[/tex]
=13 units
Hence, using the distance formula, the distance between the pair of points R(-2,3) and S(3,15) is 13 units
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(-1/100) divided by (1/10)
Answer:
-0.1
Step-by-step explanation:
-1/100 = -0.01
1/10 = 0.1
-0.01/0.1 = -0.1
URGENTTT
how do u do this?
Answer:
i didn't understand please write it in a clearer way so I can help
Answer: given clear information about the question
Step-by-step explanation:
What I can advise is, Please look for the "X or Y" carefully, work on it step by step!!
