Answer:62.84Step-by-step explanation:pie=3.142c=pie * diameterr=10cmd=2rd=2(10)=20cmc=3.142 * 20c=62.84
Step-by-step explanation:
3. What are the approximate zeros of the function f(x) = x³ - 2x²-3x+1?
(round to tenth place)
The approximate zeros of the function f(x) = x³ - 2x²-3x+1 (round to tenth place) are -1.2 and 0.3.
What are Zeros of a Function?A function's zeros are the values of its variables that result in the function equaling 0. (f(x) = 0). The zeros of a function are the points on the x-axis where the graph intersects the x-axis. To put it another way, the zeros of a function are the x-intercepts of its graph.
Given:
We have f(x) = x³ - 2x²-3x+1
To determine the real zeros of the function f(x), we have f(x) = 0.
Using a graph to find the solutions for x(round to tenth place) are,
x₁ = -1.199 ≈ -1.2
x₂ = 0.286 ≈ 0.3
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What % of 55 is 20?
Answer:
is 11
Step-by-step explanation:
A bicycle travels at a speed of 2,808 inches
per minute. The radius of each tire on the
bicycle is 3 feet. Approximately how many
revolutions does one of these tires make in 2 minutes?
(Use the approximation 22/7 for π.)
A. 12
B 25
C. 32
D. 46
Answer:
in a complete turn the wheel will travel the
expressed 2pi x radius or 2 x 3.14 x 28 or 175.84
circumference of the wheel. The circumference is cm x 3 (turns) = 527.52 cm or 572.52cm x 1in/2.54 cm x 1ft/12in or 18.78 ft or if you prefer meters 572.52 cm x 1m/100cm = 5.73 m
x + 3/4 > - 1/3 Solve the inequality for x.
Simplify your answer as much as possible.
Answer:
x > -13/12
Step-by-step explanation:
x + 3/4 > - 1/3
x + 9/12 > -4/12
x > -13/12
-1/3 = -4/12
3/4 = 9/12
Answer:
x > - 13
12
Step-by-step explanation:
[tex]x + \frac{3}{4} > - \frac{1}{3} \\ x + \frac{3}{4} - \frac{3}{4} > - \frac{1}{3} - \frac{3}{4} \\ x > \frac{ - 4 - 9}{12} \\ x > - \frac{13}{12} [/tex]
Graph the equation y=1/3x-2
Answer:
Start by putting a dot on -2 on the y-axis. Then go up 1 square and go across to the right three squares. Continue to do that to graph the equation.
Step-by-step explanation:
Start by putting a dot on -2 on the y-axis. Then go up 1 square and go across to the right three squares.
Answer:
Step-by-step explanation:
What is the equivalent expression of 4.32÷0.16?
The equivalent expression of 4.32÷0.16 is 0.27.
What are equivalent expressions?Equivalent expressions are expressions that perform the same function notwithstanding their appearance. In mathematics, equivalent expressions are expressions that are the same even if they appear to be different. When the values are entered into the expression, however, both formulations produce the same result. If the terms in both expressions are identical, the expressions are equal.Given:
Expression = 4.32÷0.16
We have to determine the equivalent expression of 4.32÷0.16.
4.32÷0.16 (multiply both the terms by 100 to remove decimals)
432 ÷ 16
= 0.27
Therefore, the required equivalent expression is 0.27 respectively.
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a rectangle is h units wide it length is 3 units more than the width
Answer:
I think that you have to find the length and width of the rectangular
can someone help me here please! thankyou
Answer:
AUB = {0,1,2,3,4,6,8}
B∩C = Nil
Xc∩Yc = {February, April, August, September, November, December}
(YUZ)c= {February, March, April, May, August}
the symbol c stands for complement in the solution.
Step-by-step explanation:
union is combining all the elements of sets A and B
AUB = {0,1,2,3,4,6,8}
intersection is combining only the common elements present in both B and C
B∩C = Nil
complement of a set is the number of elements that are not present in the set.
Xc = {January, February, April, August, September, November, December}
Yc= {February, March, April, May, August, September, October, November, December}
Xc∩Yc = {February, April, August, September, November, December}
Y∪Z = {January, June, July, September, October, November, December}
(YUZ)c= {February, March, April, May, August}
the symbol c stands for complement in the solution.
Answer:
A⋃B = {0, 1, 2, 3, 4, 6, 8} B⋂C = { } . . . (the empty set) X'⋂Y' = {Feb, Apr, Aug, Sep, Nov, Dec} (Y⋃Z)' = {Feb, Mar, Apr, May, Aug}Step-by-step explanation:
Given various set definitions, you want to find the union and the intersection of specific pairs of sets.
We find it convenient to list the set contents in such a way that we can readily identify elements in one set or another, neither, or both. That is what we have done in the attachment.
1. A⋃BThe union of sets A and B will be the list of elements in either set. That is, if an element is included in set A or in set B, it is included in their union. An element is only listed once, even if it appears in both sets.
A⋃B = {0, 1, 2, 3, 4, 6, 8}
2. B⋂CThe intersection of sets B and C will be the list of elements contained in both sets. Set B is even digits, and set C is odd digits. Since there are no digits that are both even and odd, their intersection is the empty set.
B⋂C = { } . . . (the empty set)
3. X'⋂Y'The intersection of the complements of sets X and Y is the list of elements of U that are not in either set.
X'⋂Y' = {Feb, Apr, Aug, Sep, Nov, Dec}
4. (Y⋃Z)'The complement of the union of Y and Z is the list of elements of U that are not in either of sets Y or Z. This is effectively the same as Y'⋂Z'.
(Y⋃Z)' = {Feb, Mar, Apr, May, Aug}
__
Additional comment
We have elected to abbreviate the month names for problems 3 and 4. Your answer may need to spell them out completely to match the problem statement.
Help please it's going to be due soon):
Answer:
(2,1)
Step-by-step explanation:
Its the only pair that when plugged in would give you 13
3(2) + 7(1) =13
6 + 7 = 13
Rebecca needs 10 1/2 yards of fabric to make a quilt. she has one piece of fabric that is 2 1/2 yards and another piece of fabric that is 4 1/4 yards. how many more yards of fabric does does Rebbeca need to make a quilt
pls put step by step
The most appropriate choice for fraction will be given by -
Rebeca still needed [tex]3\frac{3}{4}[/tex] yards of fabric to make a quilt.
What is a fraction?
Suppose there is a collection of objects and a part of collection has been taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.
The upper part of fraction is called numerator and the lower part of fraction is called denominator.
Here,
Length of fabric needed to make a quilt = [tex]10\frac{1}{2}[/tex] yards = [tex]\frac{21}{2}[/tex] yards
Length of one piece of fabric = [tex]2\frac{1}{2}[/tex] yards = [tex]\frac{5}{2}[/tex] yards
Length of another piece of fabric = [tex]4\frac{1}{4}[/tex] yards = [tex]\frac{17}{4}[/tex] yards
Total length of fabric Rebeca has = [tex]\frac{5}{2} + \frac{17}{4}\\[/tex]
= [tex]\frac{10 + 17}{4}\\[/tex]
= [tex]\frac{27}{4}[/tex] yards
Length of Fabric Rebeca still needed to make a quilt = [tex]\frac{21}{2} - \frac{27}{4}\\[/tex]
= [tex]\frac{42 - 27}{4}[/tex]
= [tex]\frac{15}{4}[/tex]
= [tex]3\frac{3}{4}[/tex] yards
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The Safari Restaurant is giving away gift bags. They have 24 magnets and 36 pencils. They want all the bags to be the same so that each bag has the same number of magnets and the same number of pencils. What is the greatest number of gift bags that the restaurant can make using all of the supplies?
Answer: 18
Step-by-step explanation:
Remove 2 from 36 and remove 1 from 24 until you get to 0.
-2 1/2 - 5 3-4 as a mixed number
Answer:
The distance between -2 1/2 and -5 3/4 Is
13/4.
Work out the missing number
a) 0.36 ÷
= 0.09
Solve the equation 5+10(x-9)<-103-(7-5x)
we have the inequality
5+10(x-9) < -103-(7-5x)
solve for x
apply distributive property left side and remove the parenthesis right side
5+10x-90 < -103-7+5x
Combine like terms
10x-85 < 5x-110
Group terms
10x-5x < -110+85
5x < -25
x< -25/5
x < -5
the solution is the interval (-inf, -5)
set builder notation
x| x < -5
Find three consecutive odd integers such that the sum of the smaller two is three times the largest increased by seven.
Consecutive odd numbers are odd integers that are separated by 2 and come after one another. If the number x is odd, then the numbers x + 2, x + 4, and x + 6 are also odd.
Explain about the consecutive odd integers?The next two odd consecutive integers are (2n + 3) and (2n + 5) if 2n + 1 is an odd number. For illustration, assume that 2n + 1 is the odd number 7. Its successive numbers are identified as (7 + 2) and (7 + 4), or 9 and 11.
Three consecutive odd numbers that are 3, 5, and 7 are all prime. Three successive odd numbers that are not all prime are 109, 111, and 113 (111=37 times 3).
Answer
Let x - 2, x, and x + 2 be the three odd numbers.
x - 2 + x = 3(x + 2) + 7
2x - 2 = 3x + 6 + 7
2x - 2 = 3x + 13
3x - 2x = -2 - 13
x = -15
The three successive odd numbers are 17, 15, and 13, respectively.
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Find the indicated value using the given functions
The correct option is b: 2 ∛(5 - 1) , is the value of the composite inverse function.
What is meant by the inverse of the function?An inverse function, also known as an anti function, is a function that can be reversed into another function. Simply put, if any function "f" takes x to y, then its inverse will take y to x. The inverse function is signified by f-1 or F-1 if the function is signified by 'f' or 'F'. Here, (-1) should not be confused with exponent or reciprocal.For the given question,
The functions as given as;
f(x) = x/3 + 1
g(x) = x³
Now, the find the composite function f o g (x).
Put the value of g(x) at the place of x in f(x).
f o g (x) = x³/8 + 1
Let the obtained composite function be y.
y = f o g (x) = x³/8 + 1
Find the value of x in terms of y.
y = x³/8 + 1
y - 1 = x³/8
8(y - 1) = x³
taking cube root.
x = 2 ∛(y - 1)
Now, substitute the value of x in place of y.
(f o g )⁻¹(x) = 2 ∛(x - 1)
Now, put the value of x as 5.
(f o g )⁻¹(x) = 2 ∛(x - 1)
(f o g )⁻¹(5) = 2 ∛(5 - 1)
Thus, the value of the composite inverse function is obtained as 2 ∛(5 - 1).
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what color is your buggati?
Answer: yellow
Step-by-step explanation:
ITS THE RIGHT ANSWER IMAOAO
Answer:
Bugatti veyron is available in 10 different colours
Step-by-step explanation:
Light blue pear,black-M,mocca brown, black blue-M ,lemon and Light red.
$11.49 for 3 packages
Answer:
3.83
Step-by-step explanation:
11.49 divided by 3 is 3.83
What is the equation in standard form has a graph that passes through the point (5,-3) and has a slope of 6/5
Considering the definition of a line, the equation of the line that passes through the point (5, -3) and has a slope of 6/5 is y= 6/5x -9.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Line in this caseIn this case, you know:
The line has a slope of 6/5.The line passes through the point (5, -3).Substituting the value of the slope m, the line has the form: y=6/5x +b
Substituting the value of the point in the previous expression, the value of the ordinate to the origin b can be obtained:
-3= 6/5×5 + b
-3= 6 + b
-3 - 6= b
-9= b
Finally, the equation of the line is y= 6/5x -9.
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In his spare time, Kim likes to go cycling. He cycles partly on paved surfaces and partly off-road, through hilly and wooded areas. He cycles at 25km/h on paved surfaces and at 10 km/h off-road. One day, he cycled 41 km in 2 hours. How far did he cycle on the paved road and how far off-road?
Kim travelled 35 km on a paved surface and 6 km off-road which took 1.4 hours and 0.6 hours respectively
Speed of Kim when cycling on paved surfaces: 25 km/hr
Speed of Kim when cycling off-road = 10 km/hr
Distance covered by Kim = 41 km
Time is taken by Kim = 2 hours
Let x be the time Kim travels on a paved surface, and y represents the time off-road
Using the formula:
Speed = Distance/Time
Distance travelled by Kim on paved surface = 25*x
Distance travelled by Kim off-road = 10*y
x + y = 2-------(1)
25x + 10y = 41-------(2)
Multiplying equation (1) with 25 and equating with (2) we get:
25x + 25y = 50
25x + 10y = 41
15y = 9
y = 0.6 hours
x = 1.4 hours
Distance travelled on paved surface = 25*1.4 = 35 km
Distance travelled off-road = 10*0.6 = 6km
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2x - 3y +z = 7
4x + y + 2z=0
3x + 4y -z = -4
Answer:
x=1
y=-2
z=-1 ( substitute into equations)
Amy, ravi, and bob have a total of $127 in their wallets. bob has 4 times what ravi has. ravi has $7 less than amy. how much do they have in their wallets
Amy has $ 27, Bob has $ 80 and Ravi has $ 20 amounts in their wallets.
Finding unknown quantity using Linear Equation:
A mathematical statement used to find an unknown quantity in a given problem is known as a Linear Equation. Here to represent the unknown quantity we will use variables like x, y, and so on.
Here we have,
Amy, Ravi, and Bob have a total of $127 in their wallets.
Since we don't know the amount of each person we represent them with different variables
Let 'a' be Amy's amount
'b' be Bob's amount
'r' be Ravi's amount
Then the total amount a + b + r = 127 -----(1)
Given that,
Bob has 4 times what Ravi has
=> b = 4r ----(2)
Ravi has $7 less than Amy
=> r = a - 7 ----(3)
From (2) and (3)
b = 4(a - 7)
b = 4a - 28 ----(4)
Now substitute (3) and (4)
=> a + 4a - 28 + a - 7 = 127
=> 6a - 35 = 127
=> 6a = 162
=> a = 27
From (3)
r = a - 7 = 27 - 7 = 20
From (2)
b = 4r = 4(20) = 80
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Solve for x with zero product propertyX^2 + 4x -27 = 5
Answer
[tex]\begin{gathered} Given\text{ }x^2+4x-27=5 \\ x^2+4x-27-5=5-5 \\ x^2+4x-32=0 \end{gathered}[/tex]Using factorization method
[tex]\begin{gathered} x^2+8x-4x-32=0 \\ x(x+8)-4(x+8)=0 \\ (x+8)(x-4)=0 \end{gathered}[/tex][tex]\begin{gathered} x+8=0\text{ }or\text{ }x-4=0 \\ x=-8\text{ }or\text{ }x=4 \end{gathered}[/tex]Therefore, x = -8 or x = 4
`suppose it took jacques 85 days to read the novel he read the same number of pagers per day
The number of pages that Jacques read per day is 7 pages.
How to calculate the number of days?From the information, Jacques has 595 pages of book to read and it took him 85 days to read the novel.
The number of pages will be the entire pages divided by the number of days used. This will be:
= Number of pages / Number of days
= 595 / 85
= 7
Therefore, Jacques read 7 pages per day.
The complete question is given below.
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Jacques has 595 pages of book to read. Suppose it took Jacques 85 days to read the novel, how many number of pages did he read per day.?
what are the two types of function used to form the rational function ?
PLEASE HELP ASAP
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The
other clock chimes every 25 minutes. In how many minutes will they chime together?
Answer:
In 75 minutes, both clocks will chime together.
Step-by-step explanation:
All you have to do is find the least common multiple of 15 and 25.
Multiples of 15:
15 x 1 = 15
15 x 2 = 30
15 x 3 = 45
15 x 4 = 60
15 x 5 = 75
Multiples of 25:
25 x 1 = 25
25 x 2 = 50
25 x 3 = 75
25 x 4 = 100
25 x 5 = 125
If you compare the two, you’ll find that 15 and 25 have a least common multiple of 75. So, in 75 minutes both clocks will chime at the same time
Henry went shopping for a new pair of pants because of a sale. The store was offering a 10% discount. If the price on the tag was $21, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answer:
Discount:
$2.10
Final Price:
$18.90
Step-by-step explanation:
Answer:
Step-by-step explanation:
$30.4
Step-by-step explanation:
fist we figure out what 5% of 32 is which is 1.6 then we subtract it from the total cost 32 - 1.6 = 30.4
Suppose point P divides the directed line segment XY so that the ratio of XP to PY is 3 to 5. Describe the point that divides directed line segment YX so that the ratio of YP to PX is 5 to 3.
The point that divides the directed line segment YX so that the ratio of YP to PX is 5 to 3 is P.
According to the question,
We have the following information:
Point P divides the directed line segment XY so that the ratio of XP to PY is 3 to 5.
Now, when the line segment XY is inverted to call the line segment YX then the point P is still there.
And the point P divided the line segment in the same way but the difference is that the measurement are taken from the other side. But the point P has not been removed because it is common in YP and PX and YX (as we observe even from the name of these smaller segments) is the line segment.
Hence, P is the point dividing the line segment YX into the given ratio.
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what is 121 divided by 12.75
Answer:
9.49
Step-by-step explanation:
this is the answer hope it helps
The sales tax rate is 10%. If Bill buys a globe priced at $14.80,
what will be the total cost including tax?
