The formula to find the volume of a cylinder is V = hπr², where h is the height of the cylinder and r is the radius of its base.
Explanation:To find V, the volume of a cylinder in cubic inches, we can use the formula V = Ah, where A represents the cross-sectional area of the cylinder and h represents the height or depth of the cylinder. To find the cross-sectional area for a cylinder, the formula A = πr² can be used, where r is the radius of the cylinder's base. Substituting value of A in volume's formula will give V = hπr², which is commonly used formula to find the volume of a cylinder.
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To find the volume of a cylinder in cubic inches, use the formula V = πr²h, where r is the radius of the base of the cylinder and h is the height of the cylinder.
Explanation:The equation for finding the volume V of a cylinder in cubic inches can be derived from the basic principle that the volume of a shape is equal to the area of its base multiplied by its height. For a cylinder, the base is a circle, and the area of a circle is given by the formula πr², where r is the radius of the circle.
Therefore, the volume of the cylinder is the area of its base times its height, which can be written as V = πr²h, where h is the height of the cylinder. By using this formula, you can calculate the volume of a cylinder if you know the radius of its base and its height.
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Find the slope of the following and then write the equation
Answer:
See explanation
Step-by-step explanation:
Assuming we want to find the slope and equation of the line going through:
(0,1) and (1,2).
Then the slope is given by:
[tex]m = \frac{2 - 1}{1 - 0} [/tex]
This implies that:
[tex]m = 1[/tex]
The equation is given by:
[tex]y = mx + b[/tex]
Where b=1 is the y-intercept since the line passes through (0,1).
Hence the equation is:
[tex]y = x + 1[/tex]
URGENT WILL GIVE BRAINLIEST IF CORRECT!
Finley's pumpkin had a mass of 6.5 (kg) before he carved it. After carving it, the pumpkin had a mass of 3.9 kg
What was the percent decrease in the mass of the pumpkin?
Answer:
40% decrease
Step-by-step explanation:
6.5*40%=2.6
6.5-2.6=3.9
Answer:
40%
Step-by-step explanation:
Original Mass of the pumpkin = 6.5kg
After carving, the mass of the pumpkin became = 3.9 kg
Decrease in mass = 6.5 — 3.9 = 2.6kg
Therefore, the percentage decrease in mass of the pumpkin = (2.6/6.5)x100 = 40%
When is a zero not significant?
O
A. When it comes after the decimal point, as in 4.000
O
B. When it is included in scientific notation, as in 3.04 x 10-2
O
C. When it precedes a non-zero digit but falls after a decimal point,
as in 0.0004
O
D. When it falls between two non-zero digits, as in 4.09
Answer: A. When it comes after the decimal point, as in 4.000
Step-by-step explanation: If there are no other numbers after the zeros, there is no reason for them to be place holders. Zeros in decimals act as place holders such as in 4.09 or 4.0009. This actually does change the value of the decimal but 4.000 is just the same as a regular old 4. Hope this helps!
How many different triangles can you make if you’re giving the measurements for two sides and the angle between those sides
Answer:
1
Step-by-step explanation:
this is how dora subtracts 73-26. 73-3=70. 70-?=50. ?-?=? fill in the blanks to solve
Answer:
73-3=70
70-20=50
50-24=26
To solve 73-26, subtract 3 from 73 to get 70. Then, subtract a number from 70 to get 50. The missing number is 20.
Explanation:To solve the equation 73-26, we can subtract it step by step. The first step is to subtract 3 from 73, which equals 70. The next step is to subtract a number from 70 to get 50. To find that number, we subtract 50 from 70, which is 20. So, the missing number is 20.
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Solve the system of linear equations below.
2х + Зу = 2
х+ 6у = 4
А. x = 0, y=2/3
Bх = 2, y = -2/3
C. х = 4/3, у=2/9
D. x = 4, y = -2
PLEASE HELP ME FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
The following data set is graphed on a coordinate plane: (10,45), (25,70), (46,105). If the y-intecept of the line of best fit is at 28.5 ,what would be the most reasonable slope of line: 1/3, 5/3, or -4/3? Show/explain how you know.
Slope is the change in Y over the change in. X
Using two of the given points:
Slope = 70-45 / 25-10
Slope= 25/ 15
Slope = 5/3
How do you write nine and two hundred thirty five thousandths?
Answer:
9.235
Step-by-step explanation: There you g. Hope it helps!
A balance scale was in perfect balance when Jane placed a box of candy on one pane of the balance and 3/4 of the same sized candy box together with 3/4 pound weight on the other pane. How much did the full box of candy weight.
Answer:
Step-by-step explanation:
i'm pretty sure that you will have to add it.
so, when we add two fractions such as 3/4 + 3/4, we make sure that the denominators (the bottom numbers) are the same and then we simply add the numerators (the top numbers).
in this problem, the denominators are the same so we will simply add 3+3 which equals to 6/4. the denominator will remain the same.
answer:
3/4 + 3/4 = 6/4
i hope this is helpful.
The required weight of the candy box is 3 pounds.
Given that,
A balance scale was in perfect balance when Jane placed a box of candy on one pane of the balance and 3/4 of the same-sized candy box together with 3/4 pound weight on the other pane.
To determine how much the full box of candy weighs.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the weight of the candy box be x,
3/4 of the same-sized candy box
weight = 3/4 pound
x = 3/4x + 3/4
x / 4 = 3/4
x = 3
Thus, the required weight of the candy box is 3 pounds.
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Kelsey solved the following equation:
7x − one over two (8x + 2) = 6
Step Work Justification
1 7x − 4x − 1 = 6
2 3x − 1 = 6
3 3x = 7
4 x = 7 over 3
Which of the following has all of the correct justifications Kelsey used to solve this equation?
1. distributive property
2. combine like terms
3. addition property of equality
4. division property of equality
Solution:Given that,
Kelsey solved the following equation:
[tex]7x - \frac{1}{2}(8x+2) = 6[/tex]
Step 1:By distributive property,
a(b + c) = ab + bc
Therefore,
[tex]7x - (\frac{1}{2} \times 8x)+( \frac{-1}{2} \times 2)= 6\\\\7x - 4x - 1 = 6[/tex]
Step 2:Combine the like terms
7x - 4x - 1 = 6
3x - 1 = 6
Step 3:Addition property of equality
The property means that when we add the same number to both sides of an equation, the sides remain equal
3x - 1 = 6
Add 1 on both sides
3x - 1 + 1 = 6 + 1
3x = 7
Step 4:Division property of equality
The Division Property of Equality means that when we divide both sides of an equation by the same non zero number, the sides remain equal
3x = 7
Divide both sides by 3
[tex]\frac{3x}{3} = \frac{7}{3}\\\\x = \frac{7}{3}[/tex]
Thus the correct justifications Kelsey used to solve this equation is:
1. distributive property. 2. combine like terms. 3. addition property of equality. 4. division property of equality
Answer:
I took the test it is 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
6,000(1-(1+0.06)‐³²)/0.06(1+0.06)
Answer:
79716.98
Step-by-step explanation:
Woahhhhhh numbers
Step-by-step explanation:
I don’t know.
3(p-3) – 5p>-3p- 6
How do u solve?
Answer:
p>3
Step-by-step explanation:
<=> 3p - 9 - 5p > -3p - 6
<=> -2p + 3p > -6 + 9
<=> p > 3
To solve the inequality 3(p-3) - 5p > -3p - 6:
Simplify and combine like terms to get p > 3 as the solution.
An inequality is a mathematical statement that uses the inequality symbol to indicate the relationship between two expressions. Both sides of an inequality sign have different expressions.
The given expression is:
3(p-3) – 5p>-3p- 6
Distribute the 3 to the terms inside the parentheses:
3p - 9 - 5p > -3p - 6
Combine like terms on both sides of the inequality:
-2p - 9 > -3p - 6
Move all the terms containing p to one side by adding 3p to both sides: -2p + 3p - 9 > -6
Simplify:
p - 9 > -6
Move the constant term to the other side by adding 9 to both sides:
p - 9 + 9 > -6 + 9
Simplify: p > 3
Hence,
The solution of the given inequality is p > 3.
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I am a fraction that is greater than 1 but less than 2 the sum of my numerator and denominator is 11 my denominator subtracted from my numerator is 1 what fraction am I
Answer:
that fraction is an improper fraction I think.
Evaluate the expression 1/3(4+18) -2 squared
Answer:
Evaluate the expression 1/3(4+18) -2 squared
Step-by-step explanation:
First of all we will add brackets to understand the question as:
= ((1/3) * (4+18) - (2 squared))
= ((1/3) * ( 22) - 2² )
According to Math's rule that Multiplication and division must be completed before addition and subtraction.
= (( 1/3 * 22) - 4 )
= (( 7.33) - 4 )
= ( 7.33 - 4 )
= 3.33
3.33 is the correct answer.
Given the point (-5,6), what is the value of the y-coordinate?
The y-coordinate of the point is
(Type an integer or a decimal.)
Answer:
6
Step-by-step explanation:
The numbers in an ordered pair are usually (x, y). That is, the y-value comes second in the pair.
The second number in your ordered pair is 6. The y-coordinate is 6.
Check your answer for 3(p+2)=18
3(p + 2) = 18
3p + 6 = 18
3p = 12
p = 4
Check:
3(p + 2) = 18
3(4 + 2) = 18
3(6) = 18
18 = 18
This proves that p = 4.
⭐ Answered by Hyperrspace (Ace) ⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
Answer: p = +4
Step-by-step explanation: To solve this equation for p, our first step is to distribute the 3 through the parentheses on the left side.
3 times p is 3p and 3 times 2 is 6.
So we have 3p + 6 = 18.
Next, we need to isolate the p term by subtracting 6 from both sides of the equation to get 3p = 12.
Finally, we divide both sides of the equation by 3 to get p = +4.
Kevin and Marcus were comparing their ages. The same of their ages was at least 9 years but was at most 24 years. If Kevin is 6 years old, which of the following inequalities represents all possible values for Marcus age, m?
The inequality that represent age of marcus is:
[tex]24\geq 6+m\geq 9[/tex]
The possible values for age of Marcus is:
m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
Solution:
Given that,
The sum of ages of Kevin and Marcus was at least 9 years but was at most 24 years
Kevin is 6 years old
Let "m" be the age of Marcus
Thus we frame a inequality as:
[tex]24\geq \text{ sum of ages } \geq 9[/tex]
at least 9 years means that "greater than or equal to 9"
at most 24 years means "less than or equal to" 24
From given,
Sum of ages = kevin age + marcus age
Sum of ages = 6 + m
Thus the inequality is:
[tex]24\geq 6+m\geq 9[/tex]
Solve the inequality
[tex]\mathrm{If}\:a\ge \:u\ge \:b\:\mathrm{then}\:a\ge \:u\quad \mathrm{and}\quad \:u\ge \:b\\\\24\ge \:6+m\quad \mathrm{and}\quad \:6+m\ge \:9\\\\Solve\ them\ separately[/tex]
[tex]24\ge \:6+m\\\\\mathrm{Switch\:sides}\\\\6+m\le \:24\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\le \:24-6\\\\\mathrm{Simplify}\\\\m\le \:18[/tex]
Now solve another inequality
[tex]6+m\ge \:9\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\ge \:9-6\\\\\mathrm{Simplify}\\\\m\ge \:3\\\\\mathrm{Combine\:the\:intervals}\\\\m\le \:18\quad \mathrm{and}\quad \:m\ge \:3\\\\\mathrm{Merge\:Overlapping\:Intervals}\\\\3\le \:m\le \:18[/tex]
[tex]24\ge \:6+m\ge \:9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:3\le \:m\le \:18\:\\ \:\mathrm{Interval\:Notation:}&\:\left[3,\:18\right]\end{bmatrix}[/tex]
Thus possible values for age of Marcus is:
m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
WILL GIVE BRAINLIEST You can draw a quadrilateral with no parallel lines and at least one right angle. True/ False
Answer:
True because a right angle can't exist with any parallel lines.
Answer:
true hope this helped.
Step-by-step explanation:
a line with a slope of -3 and an x-intercept of 15 passes through wich of the following points
A. (0,30)
B. (5,15)
C. (10,10)
D. (−5,60)
The Answer is D) because it is
Ashley is deciding between two jobs. Job A pays $2000 per month with a monthly raise of $85. Job B pays $2000 per month with a monthly raise of 4%. Write a function to represent the monthly salary for Job B after x months.
The monthly salary for Job B after x months, which includes a 4% monthly raise, can be represented by the exponential function S(x) = 2000 * (1 + 0.04)^x, where S(x) is the salary and x is the number of months.
Explanation:To represent the monthly salary for Job B after x months, we need to account for the 4% raise each month. Since the starting salary is $2000, and the raise is 4% (or 0.04 in decimal form) of the previous month's salary, the function to represent the monthly salary can be written using a geometric sequence formula.
Let S(x) be the salary at month x. The function will be an exponential function in the form:
S(x) = 2000 * (1 + 0.04)^x
Here, 2000 is the initial salary, 0.04 represents the 4% raise, and x is the number of months that have passed.
PLEASE HELP I NEED TO PASS THIS TEST!!! (first actual answer gets brainliest)
Iliana rotated trapezoid WXYZ 180° about the origin.
*graph below*
What is the correct set of image points for trapezoid W’X’Y’Z’?
Answer:
W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)
I hope this helps you. If you can give brainliest that would be greatly appreciated.
Answer:
W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
Step-by-step explanation:
look at picture
There are 95 students who have applied for a scholarship.
If there are 41 men and 36 minorities, 19 of whom are
women, how many women applied for the scholarship?
Answer:
37
Step-by-step explanation:
Students who applied or a scholarship=95
Of that:
Men= 41
Minorities= 36
Minorities who are women= 19
Minorities who are men = 36-19=17
Women+ Minorities who are women=Students who applied or a scholarship-(Men+Minorities who are men)
x + 19=95-(41+17)
x+19=95-58
x+19=37
x= 37-19
x=18
Women who are NOT minority=18
Total women=Minorities who are women+Women who are NOT minority
Total women=18+19
Total women=37
By understanding the problem as a basic arithmetic problem, we determine there are 54 women who applied for the scholarship by subtracting the number of men (41) from the total number of students (95).
Explanation:To resolve the question, 'how many women applied for the scholarship', it's essential to understand the problem as a basic addition and subtraction problem. The numbers provided in the question give us initial points. It's stated that there are 41 men who applied, and if there are 95 students in total, we can calculate the total women by subtracting the number of men from the total. So, 95 total students - 41 men = 54 women. This calculation gives us the number of women that applied for the scholarship.
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$239 television; 10% discount
answer: $215.10
the TV's original price is $239, but with 10% off, it is now 90% of the original price. therefore we have to find 90% of 239:
0.90*239=215.10
Answer:
215.10 here ya go
What situation can be represented by the expression-3 + 3?
A. Nancy owes $3 on an account and then withdraws another $3.
B. Jason pays $3 on the $3 he owes in fines.
C. There is a change in temperature from -3 degrees F to 0 degrees F.
D. A toy car travels at a rate of 3 meters per minute for 3 minutes.
E. Teri’s score in a word game is 0 after scoring 3 points.
My son has chosen C and E as the answers. Correct?
Answer:
Step-by-step explanation: It B
-3 + 3 = 0
Write the equation y-2=6x+3 in y=mx+b form
Answer:
y=6x+5
Step-by-step explanation:
y-2=6x+3
y=6x+3+2
y=6x+5
Find the equation of the line with slope m = 3/2 that contains the points (2,1).
Answer:
y=3/2x-2
Step-by-step explanation:
m=3/2 A(2,1)=A(x1, y1) ... x1=2,y1 =1
y-y1=m(x-x1)
y-1=3/2(x-2)
y-1=3/2x-3/2*2
y-1=3/2x-3
y=3/2x-3+1
y=3/2x-2
A function is given:
f(x) = 3x + 12
a. Determine the inverse of this function and name it g(x).
b. Use composite functions to show that these functions are inverses.
c. Evaluate f(g(–2)). Explain: What is the domain?
WILL GIVE BRAINLIEST PLEASE EXPLAIN WELL
100 POINTS
Answer:
Step-by-step explanation:
hello :
a)
let f(x) = y so : x = g(y)
in expression = f(x) =3x+12
means : y = 3x +12 calculate : x
3x = y -12
x = (1/3)y - 4
the inverse is : g(x) = (1/3)x - 4
b)f(g(-2) = f(-14/3)
because: g(-2) = (1/3)(-2)-4 = -2/3-4 = -14/3
so : f(g(-2) = f(-14/3)=3(-14/3)+12 = - 2
1. The inverse of the function is g(x) = (1/3)x - 4.
3. The value of f(g(–2)) is -2.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x)= 3x+ 12
1. let f(x) = y then x = g(y)
y = 3x+ 12
y- 12 = 3x
x= y/3 + 4
So, the inverse of the function is g(x) = (1/3)x - 4.
2. For showing the function are inverse we have to that
(fog)(x) = f(g(x)) =x and (gof)(x) =g(f(x)) = x
Take (fog)(x) = f(g(x))
= f( (1/3)x - 4.)
= 3 ((1/3)x - 4) 12
= x - 12 + 12
= x
Now, (gof)(x)
=g(f(x))
= g(3x+ 12)
= (1/3) ( 3x+ 12) -4
= x + 4 - 4
= x
3. f(g(-2))
So, g(-2)
= (1/3)(-2)-4
= -2/3-4
= -14/3
Then, f(g(-2)) = f(-14/3)
=3(-14/3)+12
= - 2
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Find the sum of 8 + 11 + 14 + ... + 602 + 605.
Answer:
61300
Step-by-step explanation:
A jar contains 12 caramels, 7 mints and 16
dark chocolates. What is the probability of
selecting a mint expressed as a fraction?
Answer:
Step-by-step explanation:
Add the three digits together:
12+7+16=35
7/35, or 1/5.
What was the origin of the territorial dispute over Taiwan
Answer:
The territorial dispute over Taiwan originated in 1949 when the Chinese people fled to Taiwan due to the complete control of Communists in Mainland China.
Explanation:
The event happened after the "Chinese Civil War," a war between the Kuomintang and the Communist Party of China (CPR). This resulted to many Chinese people fleeing from Southern China to Taiwan in order to prevent the advances of the Communist Party. This was also a sign of retreat from the war.
Moving to Taiwan from China took 4 months and this was meant to be a temporary solution rather than being permanent. However, the plan could not be realized thus, resulting to many Chinese people living in Taiwan until today.
So, this led to the controversial issue that Taiwan is, somehow, part of China. In connection with this, territorial disputes arose whether Taiwan should be unified with Mainland China.