The volume 33.5 cubic inches
To calculate the volume of the cylinder, we need to use the formula:
V = π\(r^2\)h
where V is the volume, π is the constant pi, r is the radius of the base (which is half the diameter), and h is the height.
First, we need to convert the diameter of the cylinder to inches:
2 3/4 inches = (2*4 + 3)/4 inches = 11/4 inches
The radius of the cylinder is half the diameter, so:
r = (11/4)/2 = 11/8 inches
Now we can plug in the values into the formula:
V = π\((11/8)^2\)(11) cubic inches
V ≈ 33.5 cubic inches (rounded to the nearest tenth)
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Write an inequality to compare the ratios 2/4 and 5/6.
Answer:
5/6>2/4
Step-by-step explanation:
5/6 is greater than 2/4
It takes 1.5 litres of sugar soap to wash a square metre of ceiling and 0.5 litres of sugar soap to wash a square metre of wall. Bianca’s room is 4 metres high and each wall is 5 metres wide. There is one window, which is 4m2 and a door, which is 9m2. How much sugar soap will Bianca need, assuming she does not wash the door or window (a room has four walls and a roof)
Answer:
34.5 meters square.
Step-by-step explanation:
Walls: 4 x 5 meters
20 meters squaredRoof: 5 x 5 meters
25 meters squared20 x 0.5 = 10
25 x 1.5 = 37.5
10 + 37.5 = 47.5
There is a window and a door she doesn't need to wash that takes up some of that space. The window takes up 4 square meters and the door takes up 9 square meters. So, there is 13 square meters she will not wash (4+9=13).
We subtract what she won't wash from our original number of 47.5.
47.5 - 13 = 34.5
2/5 of what is 2/3? i need so much help
The answer is 4/15
2/5 * 2/3 = 2 · 2/5 · 3 = 4/15
Multiply the numerators and denominators together. Keep the result fraction to the smallest possible denominator GCD(4, 15) = 1. It cannot further simplify the fraction result by canceling in the following intermediate step.
In other words, two fifths times two thirds equals four fifteenths.
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Answer:
5/3
Step-by-step explanation:
"of" means times so so so often. It is not a hard math rule/definition. But more like a soft English-Math translation.
So, "2/5 of what"
means 2/5x (but make sure the 2/5 is a fraction beside the x, NOT the x on the bottom with the 5)
"is" means equals.
2/5x = 2/3
Multiply both sides by 5/2.
5/2 • 2/5x = 2/3•5/2
x = 2/3 • 5/2
x = 5/3
You get 5/3 either by "cancelling" the 2's OR by
fraction multiplication where you times top×top and bottom×bottom and simplify.
x = 10/6
x = 5/3
2/5 of 5/3 is 2/3.
The "what" in the question is 5/3.
2/3x-1/5x=x-1 what is x
The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.
To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:
Combine like terms on the left side of the equation:
(2/3 - 1/5)x = x - 1
Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:
(10/15 - 3/15)x = x - 1
Simplify the left side of the equation:
(7/15)x = x - 1
To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:
15 * (7/15)x = 15 * (x - 1)
This simplifies to:
7x = 15x - 15
Subtract 15x from both sides of the equation to isolate the x term:
7x - 15x = -15
Simplifying further:
-8x = -15
Divide both sides of the equation by -8 to solve for x:
x = (-15) / (-8)
Simplifying the division:
x = 15/8
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Jacob is using his understanding of place value to divide the decimal 714.38 by the decimal 0.6 Which of the division problems shown could he solve to give him the same answer?
Answer:
See Explanation
Step-by-step explanation:
Given
\(Dividend = 714.38\)
\(Divisor = 0.6\)
The options are not given. However, a possible solution to the problem is as follows:
\(Result = \frac{Dividend}{Divisor}\)
Substitute values for Dividend and Divisor
\(Result = \frac{714.38}{0.6}\)
Using understanding of place value, he can multiply the fraction by 10/10
\(Result = \frac{714.38 * 10}{0.6 * 10}\)
\(Result = \frac{7143.8}{6}\) -- This will give the same result as the original problem.
Another possible solution is by multiplying the original problem by 100/100 to eliminate decimals
\(Result = \frac{714.38*100}{0.6*100}\)
\(Result = \frac{71438}{60}\) -- This will also give the same result as the original problem.
17. By the mid 1500's the Catholic Church had begun its own movement to curtail the growing Protestant Reformation called the Counter Reformation. Strategies included.
In the mid-1500s, the Catholic Church initiated the Counter Reformation in response to the growing Protestant Reformation. The Counter Reformation aimed to address the criticisms and challenges posed by the Protestants and to revitalize the Catholic Church. Several strategies were implemented as part of the Counter Reformation.
One of the key strategies was the Council of Trent (1545-1563), an ecumenical council that focused on reforming various aspects of the Catholic Church. The council reaffirmed Catholic teachings, clarified doctrinal issues, and emphasized the importance of clergy education and discipline. It also addressed issues of corruption within the Church and emphasized the role of the sacraments. Another important strategy was the establishment of new religious orders, such as the Society of Jesus (Jesuits), founded by Ignatius of Loyola. The Jesuits played a significant role in promoting Catholic education, engaging in missionary work, and countering the spread of Protestantism through intellectual and spiritual means.
Additionally, the Catholic Church invested in art and architecture to create a visual and emotional impact on the faithful. This can be seen in the construction and renovation of grand cathedrals and the patronage of renowned artists, who created powerful and evocative religious artworks. Overall, the Counter Reformation employed strategies such as the Council of Trent, the establishment of new religious orders like the Jesuits, and the use of art and architecture to curtail the influence of the Protestant Reformation and reinvigorate the Catholic Church.
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How would I do the equation It’s number five I need help with
Answer:
\(x=-3\)
Step-by-step explanation:
\(-(x+5)=2x+4\)
\(-1(x+5)=2x+4\)
\(-x-5=2x+4\)
\(+5\) \(+5\)
\(-x=2x+9\)
\(-2x\) \(-2x\)
\(-3x=9\)
\(\frac{-3x}{-3} =\frac{9}{-3}\)
\(x=-3\)
Hope this helps!
What is the simplified expression for the expression belov
4(x + 8) + 5(x - 3)
O 9x + 5
O 9x + 11
O 9x + 17
O 9x + 47
Answer: 9x + 17
Step-by-step explanation: Add 4x and 5x and you get 9x. Next take away 15 from 32 and you get 17 therefore the answer wuld be 9x + 17.
A contractor builds homes of 12 different models and presently has 5 lots to build on. In how many different ways can he arrange homes on these lots? Assume 5 different models will be built.
Considering the definition of permutation, in 95,040 different ways he can arrange homes on the lots.
Definition of PermutationPermutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.
In other words, permutations are ways of grouping elements of a set in which:
take all the elements of a set.the elements of the set are not repeated.order matters.To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:
\(m Pn=\frac{m!}{(m-n)!}\)
where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.
This caseIn this case, you know:
A contractor builds homes of 12 different models.Presently the constractor has 5 lots to build on.To obtain the total of ways in which he can arrange homes on these lots, you use the permutation. This is, 12 elements o models can be arranged occupying only the 5 positions:
\(12P5=\frac{12!}{(12-5)!}\)
Solving:
\(12P5=\frac{12!}{7!}\)
12P5= 479,001,600 ÷ 5,040
12P5=95,040
Finally, in 95,040 different ways he can arrange homes on the lots.
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She received 900 beads, and 10% of them were green. How many green beads did Liz receive?
Therefore, Liz received about 90 beads that were green.
Hoped this helped.
\(-BrainiacUser1357-\)
Answer:
90
Step-by-step explanation:
10 is 10% of 100 so then 10 times 9 = 90.
409 into binary number
Answer:
110011001 is the binary equivalent of the number 409
write a fraction to show the value of each 9 in the decimal 0.999. how is the value of the 9 on the left related to the value of the 9 on the right? how is the value of the 9 on the rigth related to the value of the 9in the middle?
The fractions to show the value of each 9 in the decima 0.999 are 9/10, 9/100, 9/1000.
How to write decimal number in fractionTo write the fraction that shows the value of each 9 in the decimal 0.999, we can use the following method
The digit 9 in the tenths place represents 9/10 or 0.9.
The digit 9 in the hundredths place represents 9/100 or 0.09.
The digit 9 in the thousandths place represents 9/1000 or 0.009.
Thus, the fractions are
0.9 = 9/10
0.09 = 9/100
0.009 = 9/1000
The value of the 9 on the left is related to the value of the 9 in the middle by a factor of 10.
The value of the 9 on the right is related to the value of the 9 in the middle by a factor of 10, so the 9 on the right is one-tenth the value of the 9 in the middle.
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Evaluate (If possible) the six trigonometric functlons of the real number t. (If an answer is undefined, enter UNDEFINED.)
t=4π/3
The six trigonometric functions of t=4π/3 are:
* sin(4π/3) = -√3/2
* cos(4π/3) = -1/2
* tan(4π/3) = √3
* csc(4π/3) = -2/√3
* sec(4π/3) = -2
* cot(4π/3) = -1/√3
The angle 4π/3 is in the third quadrant, so all of the trigonometric functions are negative. The sine function is negative and its maximum value is 1 in the third quadrant, so sin(4π/3) = -√3/2. The cosine function is negative and its minimum value is -1 in the third quadrant, so cos(4π/3) = -1/2. The tangent function is positive and its maximum value is √3 in the third quadrant, so tan(4π/3) = √3. The other trigonometric functions can be evaluated similarly.
**The code to calculate the above:**
```python
import math
def trigonometric_functions(t):
"""Returns the six trigonometric functions of the given angle."""
sin = math.sin(t)
cos = math.cos(t)
tan = math.tan(t)
csc = 1 / sin
sec = 1 / cos
cot = 1 / tan
return sin, cos, tan, csc, sec, cot
t = 4 * math.pi / 3
sin, cos, tan, csc, sec, cot = trigonometric_functions(t)
print("sin(4π/3) = ", sin)
print("cos(4π/3) = ", cos)
print("tan(4π/3) = ", tan)
print("csc(4π/3) = ", csc)
print("sec(4π/3) = ", sec)
print("cot(4π/3) = ", cot)
```
This code will print the values of the six trigonometric functions of t=4π/3.
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On Friday there were 8 snowboarders for every 3 skiers at Slovak ski resort. On Saturday the ratio of the number of snowboarders to the number of skiers was 4:7 there were 168 snowboarders at the ski resort on Friday there were the same number of people at the ski resort on Saturday as there were on Friday how many more skiers were there than snowboarders at the ski resort on Saturday
Answer:
There are 46 more skiers than snowboarder
Step-by-step explanation:
Given
Ratio of Snowboarders to Skiers
On Friday:
\(Ratio = 8 : 3\)
On Saturday:
\(Ratio = 4 : 7\)
Population = 168
Required
Determine the difference in the number of skiers and snowboarders on Saturday
On Saturday, we have
\(Ratio = 4 : 7\)
Calculate Total
\(Total = 4 + 7\)
\(Total = 11\)
Calculate the number of skiers
\(Skiers = \frac{7}{11} * 168\)
\(Skiers = \frac{1176}{11}\)
\(Skiers = 107\) (Approximated)
Calculate the number of snowboarders
\(Snowboarders = \frac{4}{11} * 168\)
\(Snowboarders = \frac{672}{11}\)
\(Snowboarders = 61\) (Approximated)
Calculate the difference
\(Difference = 107 - 61\)
\(Difference = 46\)
Hence, there are 46 more skiers than snowboarder
Answer:63
Step-by-step explanation:
Ben put $60 into his savings account each month for years. He spent 60% of his savings on a used car. How much money did Ben have left in his savings account after purchasing the car?
A.
$1,512.00
B.
$2,520.00
C.
$4,032.00
D.
$1,008.00
please help thank you
Answer:
You would earn $637
Equation: (4,800x6.5%)+325
Step-by-step explanation:
6.5%= 0.065
So 4800 times 0.065 is 312.
Then you add 312 to the weekly salary of 325
325+312= 637
how do you divide a number into a number with an exponent?
To divide a number into a number with an exponent
So, factor the number then put it to the power of (how many will appear)
for example :
8 = 2 * 2 * 2
so, there are 3 of the number 2
So,
8 = 2^3
Benito and Tyler are painting opposite sides of the same fence. Tyler has already painted 19 1/2 feet of his side of the fence when Benito starts painting. How long will it take for the two sides of the fence to have an equal number of feet painted? How many feet will be painted on Benito's side of the fence when the two sides have an equal number of feet painted.
Answer:
Part A: The time it will take for both of them to painted equal number of feet is 4.875 minutes
The number of feet Benito will have painted when the two sides have equal length is 73.125 feet
Part B: It is not true that Tyler will finish painting his side of the fence before Benito finishes painting his
Part C: Time to rest is 1.864 minutes
Step-by-step explanation: The given information are;
The length of fence Tyler already painted when Benito started = 19 ¹/₂ feet
Benito paints 15 feet/minute
Tyler paints 11 feet/minute
Length of fence = 150 feet
Part A:
The time it will take for both of them to painted equal number of feet is given as follows;
11×t + 19.5 = 15×t
4×t = 19.5
t = 19.5/4= 4.875 minutes
The time it will take for both of them to painted equal number of feet = 4.875 minutes
The length Benito will have painted when the two sides have equal length = 15 × 4.875 = 73.125 feet
Part B: The time it will take Tyler to finish painting his side of the fence is given as follows;
11 × t + 19.5 = 150
t = (150 - 19.5)/11 ≈ 11.864 minutes
While the time it will take Benito to finish painting his side of the fence is given as follows;
15 × t = 150
t = 150/15 ≈ 10 minutes
Therefore it is not true that Tyler will finish painting his side of the fence before Benito finishes painting his
Part C: Given that Benito finishes before Tyler, the length of time Benito gets to rest is given as follows;
Time to rest = Time Tyler takes to finish - Time Benito takes to finish
Time to rest = 11.864 - 10 = 1.864 minutes.
find the differential of each function. (a) y = x2 sin(8x)
The differential of y = x^2 sin(8x) is: dy = (8x^2cos(8x) + 2xsin(8x))dx
To find the differential of y = x^2 sin(8x), we need to use the product rule and chain rule of differentiation.
First, let's find the derivative of x^2 and sin(8x) separately:
d/dx(x^2) = 2x
d/dx(sin(8x)) = 8cos(8x)
Now, using the product rule, we get:
d/dx(x^2 sin(8x)) = (x^2)(d/dx(sin(8x))) + (sin(8x))(d/dx(x^2))
= (x^2)(8cos(8x)) + (sin(8x))(2x)
= 8x^2cos(8x) + 2xsin(8x)
Therefore, the differential of y = x^2 sin(8x) is:
dy = (8x^2cos(8x) + 2xsin(8x))dx
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The width of a rectangle is 4 feet and the diagonal length of the rectangle is 13 feet. Which measurement is closet to the length of this rectangle in feet?
Answer:
.
Step-by-step explanation:
What is the volume of this cube PLZZZZZZZZZZ
Answer:
1 cubic foot
Step-by-step explanation:
1*1*1 = 1
Answer:
6 maybe
Step-by-step explanation:
Question 4 of 9
A line passes through the point (-2,-8) and has a slope of
2
Write an equation in slope-intercept form for this line.
Question 5 of 9
Answer:
y+8=2(x+2)
this is the slope intercept form
Which equation justifies why 9 1/3 = 3 square root of 9?
Answer: answer is A
Step-by-step explanation:
3. Luigi lives 10 miles from work and rides his fancy Segway there each day. He rides past one
block every 45 seconds. Each block is 360 feet long. What is the rate, in feet per second at
which Luigi rides his Segway?
А
36 feet per second
B
80 feet per second
с
4.5 feet per second
D
8 feet per second
Which recursive formula would produce the sequence
-44, -46,-48, ...
The recursive formula that represents the given sequence is:
(B) an = -44aₙ₋₁ - 2
What is the recursive formula?Any term of a series can be defined by its preceding term in a recursive formula (s).
For instance: An arithmetic series has the recursive formula a = an-1 + d.
An = An-1r is the recursive formula for a geometric sequence.
Because each phrase, an, goes back to the preceding term, an1, the formula an=2an1+3 is recursive.
According to this equation, any term we want is equal to two times the previous term plus three.
This sequence's first three terms are 4, 11, and 25.
So, we have the sequence:
-44, -46,-48, ...
Now, we have d that is:
= -48 - (-46)
= -48 + 46
= -2
The 1st term would be: a1 = -44
Then, the correct formula would be: an = -44aₙ₋₁ - 2
Therefore, the recursive formula that represents the given sequence is:
(B) an = -44aₙ₋₁ - 2
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McDonald's sells about 150 hamburgers every 3 seconds. How many seconds will it take McDonald's to sell 6,400 hamburgers
Answer:
6250
Step-by-step explanation:
Hope the answer is correct.
Find the value of x and z
we have, the opposite angles at the vertex have the same measure, therefore:
\(\begin{gathered} 11x+54=12x+52 \\ 11x+54-54=12x+52-54 \\ 11x=12x-2 \\ 11x-12x=12x-2-12x \\ -x=-2 \\ x=2 \end{gathered}\)then,
\(\begin{gathered} angle1\colon11(2)+54=22+54=76 \\ \text{angle}2\colon\text{ 12(}2)+52=24+52=76 \end{gathered}\)and we have the sum of all 4 angles is equal to 360 and as I said before, the opposite angles by the vertex have equal measure, so:
\(\begin{gathered} angle\text{ 3 + 76 + 76 + z = 360} \\ \text{angle 3 +152 + z = 360} \\ \text{then, angle 3 = z } \\ z+152+z=360 \\ 2z+152=360 \\ 2z+152-152=360-152 \\ 2z=208 \\ \frac{2z}{2}=\frac{208}{2} \\ z=104 \end{gathered}\)answer: x = 2 and z = 104
what is 88 6/12 rounded to the nearest whole number
Answer: 88 1/2
Step-by-step explanation:
easy
Answer:
89
Step-by-step explanation:
Simplify to create an equivalent expression.
-k-(-8k+7)
7(k+1) gives the equivalent expression
Simplifying linear expressionsLinear expressions are expressions that has a leading degree of 1. For instance y = mx + b is a linear equation.
Given the expression below
-k-(-8k+7)
Expand to have:
-k-(-8k+7) = -k + 8k - 7
-k-(-8k+7) = 7k + 7
Factor out the value of 7 from the expression
7k + 7 = 7(k+1)
Hence the factored form of the expression is 7(k+1)
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after the equal employment opportunity commission (eeoc) completes its investigation in an employment discrimination case, _____.'.
After the EEOC completes its investigation in an employment discrimination case, the outcomes can include resolution attempts, lawsuits, or issuing a Notice of Right to Sue to the complainant.
After the Equal Employment Opportunity Commission (EEOC) completes its investigation in an employment discrimination case, several outcomes are possible:
The EEOC may find reasonable cause to believe that discrimination has occurred. In this case, they may attempt to resolve the matter through informal methods such as mediation or settlement negotiations. If these efforts fail, the EEOC may file a lawsuit against the employer on behalf of the aggrieved individual(s).
If the EEOC does not find reasonable cause, they will issue a Notice of Right to Sue to the individual who filed the complaint. This allows the individual to pursue a lawsuit against the employer independently.
In some cases, the EEOC may determine that further investigation is needed, and they may request additional information or evidence from both the complainant and the employer.
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