Answers
Answer:
80%
Step-by-step explanation:
Total area is the area of two circles. Each circle if accepted as a unit, in total it equals to 2 units.
Shaded area:
1 + 3/5 = 8/5Percentage of shaded area compared to total:
8/5 ÷ 2 = 4/5 = 0.8 =80%Answer: 80% of all region is shaded
Related Questions
An ant starts at (0, 0), and only makes moves of length 1 in the positive x directions or the positive y direction. How many paths are there from the ant that end at (3, 3) but never pass through (2, 3)
Answers
Answer:
The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.
Step-by-step explanation:
The possible pathways are as follows:
(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)
(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)
(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)
(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)
Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.
Write a survey question for which you would expect to collect categorical data.
Answers
Answer:
My question would be:
What is your favorite movie genre?
Step-by-step explanation:
A survey is a series of questions asked to a group of people with the intention of gathering data or detecting a public opinion on a certain matter.
To carry out a good survey, the following are required:
- Establish the objectives of the survey to be carried out.
- Choose the population to which the survey will be directed.
- Design the survey with the necessary questions to obtain the established ones.
- Apply the survey and collect the data.
What number, c, completes the square? X^2 + 8x + c
Answers
Answer:
16
Step-by-step explanation:
If you divide 8 by 2 it is 4 and 4 times itself is 16. Because to complete the square you find half of b and square it for c.
The number of people living in a country is increasing each year exponentially so that the number of people 5 years ago was 15,000. The number of people now is 26,000. What is the present population of the country? What equation can we use to describe the situation, if we let the growth rate be represented by r? Solve the equation for r. What is the growth rate? What will the population be 5 years from today?
Answers
Answer:
The present population of the country is 26,000.
[tex]y=a(1+r)^{x}[/tex]
The growth rate is approximately 12%.
The population 5 years from today will be 45,821.
Step-by-step explanation:
(1)
The present population of the country is 26,000.
(2)
It is provided that the number of people living in a country is increasing each year exponentially.
Then the exponential growth function can be used to describe the situation.
The exponential growth function is:
[tex]y=a(1+r)^{x}[/tex]
Here,
y = final value
a = initial value
r = growth rate
x = time
(3)
It is provided that x = 5 years ago the population was a = 15,000 and at present the population is y = 26,000.
Compute the value of r as follows:
[tex]y=a(1+r)^{x}[/tex]
[tex]26000=15000\times (1+r)^{5}[/tex]
[tex](1+r)=[\frac{26000}{15000}]^{1/5}[/tex]
[tex]1+r=1.1163[/tex]
[tex]r=0.1163\\r\approx 0.12[/tex]
Thus, the growth rate is approximately 12%.
(4)
Compute the population 5 years from today as follows:
[tex]y=a(1+r)^{x}[/tex]
[tex]=26000\times (1+0.12)^{5}\\\\=26000\times 1.762342\\\\=45820.892\\\\\approx 45821[/tex]
Thus, the population 5 years from today will be 45,821.
Use inverse operations to complete the second equation each time
Answers
Answer:
a) 55-42=13
b) 29-10=19
c) 65÷5=13
d) 72÷8=9
What is 3.248 repeating as a fraction
Answers
Answer:
Example 1: 3.248 repeating line over 8
Example 2: 3.248 repeating line over 48
Example 3: 3.248 repeating line over 248
Step-by-step explanation:
Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y = 25 + 5h, where y represents his total earnings and h represents the number of hours he works. What does the flat pay of $25 represent in this situation? Dependent variable Independent variable Intercept Slope
Answers
Answer:
The flat pay $25 represents the interceptStep-by-step explanation:
To answer this question we need to first understand and compare it with the equation of straight line.
i.e [tex]y= mx+c[/tex] which is the equation of line
where m= slope
y= dependent variable
x= independent variable
c= intercept
Given
[tex]y= 25+5h[/tex]
comparing both expression we can see that
25 corresponds to c which is the intercept
The flat pays $25 represent the intercept.
Given that,
Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y = 25 + 5h, where y represents his total earnings and h represents the number of hours he works.Based on the above information, the calculation is as follows:
y = mx + c
where m= slope
y= dependent variable
x= independent variable
c= intercept
And,
y = 25 + 5h
So it is an intercept
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1. Seventy percent of the population of Texas lives within a 200-mile radius of Austin.
If the total area of Texas is 267,339 square miles, about what percent of the total
land area is within 200 miles of Austin?
Analyze Circle the information you know and underline what you are
trying to find. Is there any information you will not use?
Plan How will you solve this problem?
Solve Solve the problem. Show your steps below. What is the solution?
Justify and Evaluate Does your answer make sense? Can you solve the problem
another way to check your work? oop no
Answers
Answer:
47%
Step-by-step explanation:
Radius of Austin = 200 miles
Total area of Austin = [tex]\pi r^{2}[/tex]
where 'r' = radius of Austin
From this formula,
Area of Austin = [tex]\pi (200)^2[/tex]
= 125663.71 square miles
Percentage of total area which is within 200 miles of Austin will be,
= [tex]\frac{\text{Area of Austin}}{\text{Total area of Texas}}\times 100[/tex]
= [tex]\frac{125663.71}{267339}\times 100[/tex]
= 47%
In this question, information regarding population of Texas will not be used.
a train hundred metre long is movie with a velocity 16 kilometre per hour find the time it takes to cross 1 kilometre long bridge.
Answers
Answer:
4 minutes 7 1/2 seconds
Step-by-step explanation:
For the train to completely cross the bridge, it must travel a distance equal to the sum of its own length and that of the bridge.
time = distance/speed
time = (1 +0.1) km/(16 km/h) = 1.1/16 h ≈ 0.06875 h
It will take the train 0.06875 hours, about 4 minutes 7 1/2 seconds, to cross the bridge.
If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0
Answers
Answer:
a/b tends to an infinite value
Step-by-step explanation:
If If a is an arbitrary nonzero constant, and we are to look for a/b as b approaches zero, we can represent this statement using limits. The statement is expressed as:
[tex]\lim_{b \to 0} \dfrac{a}{b}[/tex]
Substituting b = 0 into the function
[tex]= \dfrac{a}{0} \\\\= \infty \\\\\lim_{b \to 0} \dfrac{a}{b} = \infty\\ \\\\[/tex]
Since the limits of a tends to infinity as b tends to zero hence we can conclude that If a is an arbitrary nonzero constant then a/b tends to infinity or is undefined as b approaches 0
James is playing his favorite game at the arcade. After playing the game 333 times, he has 888 tokens remaining. He initially had 202020 tokens, and the game costs the same number of tokens each time. The number ttt of tokens James has is a function of ggg, the number of games he plays. Write the function's formula.
Answers
Answer:
t(g)= -4g + 20
Step-by-step explanation:
James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays
Solution
Let
g=No. of games James plays
t= No. of tokens James has.
Find the slope using
y=mx + b
Where,
m = Slope of line,
b = y-intercept.
Before James started playing the games, he has a total of 20 tokens.
That is, when g=0, t=20
After James played the games 3 times, he has 8 tokens left
That is, when g=3, t=8
(x,y)
(0,20) (3,8)
m=y2-y1 / x2-x1
=(8-20) / (3-0)
= -12 / 3
m= -4
Slope of the line, m= -4
y=mx + b
No. of tokens left depend on No. of games James plays
t is a function of g.
t(g)
t(g)= -4g + 20
Answer:
-4g + 20
Step-by-step explanation:
I did it on khan and this was right
Kathy measured her finger using a ruler with centimeters. Then she measured the same finger with a ruler using millimeters. Can Kathy compare the two measurements? Yes, 10 centimeters is the same as 1 millimeter. Yes, 10 millimeters is the same as 1 centimeter. Yes, 1 centimeter is the same as 1 millimeter. No, the student cannot compare them.
Answers
Answer:
Yes, 10 millimeters is the same as 1 centimeter.
Step-by-step explanation:
Kathy can compare the two measurement because 10 millimeters equals 1 centimeter
This means
10 millimeters of her finger = 1 centimeter of the same finger
100 millimeters of her finger = 10 centimeters of her finger
1000 millimeters of her finger = 100 centimeters of her finger
Therefore, Kathy can compare both measurement ( millimeters and centimeters).
Answer:
Yes, 10 millimeters is the same as 1 centimeter.
Step-by-step explanation:
TW¯¯¯¯¯¯¯¯¯=3, CW¯¯¯¯¯¯¯¯¯=x, TU¯¯¯¯¯¯¯=x+7, VW¯¯¯¯¯¯¯¯¯=6. Find the value of x.
Answers
Answer:
x = 4
Step-by-step explanation:
TW = 3
WU = TU - TW = x + 7 - 3 = x + 4
CW = x
VW = 6
By the property of intersecting chords inside a circle, we have:
TW * WU = CW * VW
3(x + 4) = x * 6
3x + 12 = 6x
12 = 6x - 3x
12 = 3x
12/3 = x
4 = x
x = 4
The value of x is 4.
What is the intersecting chords theorem?The chord theorem is defined as a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal. It is also known as the intersecting chords theorem.
According to given figure,
TW = 3,
CW = x,
VW = 6,
Chord TU = x + 7,
WU = TU - TW
Substitute the value of Chord TU in above equation,
WU = x + 7 - 3
WU = x + 4
According to property of intersecting chords inside a circle, the products of the line segment lengths on each chord are equal.
TW × WU = VW × CW
3(x + 4) = 6 × x
3x + 12 = 6x
12 = 6x - 3x
12 = 3x
x = 12/3
x = 4
Hence, the value of x is 4.
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y = 4x2 - 16 has how many real roots?
A. 0
B. cannot be determined
C.1
D.2
Answers
Answer:
2 real roots
Step-by-step explanation:
y = 4x2 - 16
Set equal to zero
0 = 4x2 - 16
Add 16 to each side
16 = 4x^2
Divide by 4
16/4 = 4x^2/4
4 = x^2
Take the square root of each side
sqrt(4) = sqrt(x^2)
±2 =x
There are 2 real roots
What is 16/27 as a decimal rounded to 3 decimal places?
Answers
Answer:
o.593
Step-by-step explanation:
The required value of the decimal equivalent of the given fraction is 0.592.
What is a fraction?A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.
The number a is called as the numerator and b is the denominator.
If the fractions have the same denominators then their numerators are added keeping the denominators as the same.
For fractions with different denominators the LCM of the denominators are taken then that is divided by the numerators of each fraction and the number obtained is multiplied to each of them to get the equivalent fraction.
The given fraction is 16/27.
In order to convert it into decimal divide 16 by 27 upto 3 decimal places to obtain,
16/27 = 0.592
Hence, the given fraction 16/27 can be written as decimal as 0.592.
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As of 2015, there were over 75,000 elevators in New York City. The frequency table summarizes data on the number of elevators of each type. How do you make a frequency graph to display the data? Photo included. Please answer, thanks!
Answers
Answer:
Please find attached the log graph of the count (frequency) of the elevator types
Step-by-step explanation:
The number of different elevators types = 9
The maximum count of an elevator type = 96,602
The minimum count of an elevator type = 45
The mean count or number of elevator per type = 8,454
The standard deviation of number of elevator per type = 20,599.6
Given the wide difference between the mean and the standard deviation, the values of the count or frequency can be converted into the equivalent ㏒₁₀ values to flatten the frequency bar chart or histogram as follows;
Type [tex]{}[/tex] Count (f) ㏒₁₀ (f)
Passenger elevator 66,602 4.823487
Freight elevator 4,140 3.617
Escalator 2,663 3.425371
Dumbwaiter 1,143 3.058046
Sidewalk 943 2.974512
Private elevator 252 2.401401
Handicap lift 227 2.356026
Manlift 73 1.863323
Public elevator 45 1.653213
The information can then be easily graphically displayed.
In your gym class, your teacher can create teams of 4 for a relay race and have no students left over.The next day, your teacher creates teams of 5 for dodge ball and has no students left over. What are some possible numbers of students in your class
Answers
Answer: 20,40,60,80,100
Step-by-step explanation:
The possible numbers has be the multiples of 5 and 4 in other words the LCM.
The LCM of 5 and 4 are,
20,40,60, 80,100 ....
Determine the coordinates of A’,B’ and C’ after the transformation r(180)
Answers
Answer:
A'(4, -2)
B'(3, 0)
C'(1, -2)
Step-by-step explanation:
Coordinates of the vertices of the given triangle are,
A(-4, 2), B(-3, 0) and C(-1, 2)
ΔABC is transformed by the rotation of 180° about the origin.
Rule for the rotation will be,
(x, y) → (-x, -y)
Coordinates of the image triangle A'B'C' will be,
A(-4, 2) → A'(4, -2)
B(-3, 0) → B'(3, 0)
C(-1, 2) → C'(1, -2)
Is 9.56556556... rational or irrational explain
Answers
Answer: Irrational
Step-by-step explanation:
It cannot be expressed as a ratio of two integers
Answer: Irrational
Step-by-step explanation: Irrational numbers are real numbers that, when expressed as a decimal, go on forever after the decimal and never repeat. Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. ... When expressed as a decimal, irrational numbers go on forever after the decimal point and never repeat.
Hope this helps^^
Simplify the expression 3a + b, when a=1.4 -2x and b=-0.2x + 1.7*
Answers
Answer:5.9-6.2x
Step-by-step explanation:
a=1.4-2x
b=-0.2x+1.7
3a+b
=3(1.4-2x)+(-0.2x+1.7)
=4.2-6x-0.2x+1.7
=4.2+1.7-6x-0.2x
=5.9-6.2x
Answer:
Step-by-step explanation:
3a + b
a = 1.4 - 2x
b = -0.2x + 1.7
3 ( 1.4 - 2x ) + -0.2x + 1.7
= 4.2 - 6x - 0.2x + 1.7
= 4.2 + 1.7 - 6x - 0.2x ( by rearranging the like terms )
= 5.9 - 6.2 x
hope this helps
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[MA5T10 E] Name the property being illustrated.
45(25 - 5) = (45 x 25) - (45 x 5)
A) Commutative Property
B) Associative Property
C) Distributive Property
D) Subtraction Property
Answers
You can see that you have multiplied the 45 by both 25 and 5, and subtracting both of those values from each other. Even though it is a different way of writing, the final answer is the same.
What is the value of x?
Answers
Answer:
x = 21
Step-by-step explanation:
5x = (90 + 15)
5x = 105
x = 21
Find Y
..............
Answers
Answer:
y = 40 / sqrt(pi)
Step-by-step explanation:
The area is 400
We want to find the diameter
400 = pi r^2
Divide each side by pi
400/ pi = r^2
Take the square root of each side
sqrt(400/ pi) = sqrt(r^2)
20/ sqrt(pi) = r
The diameter is twice the radius
2 r = d
2 * 20/ sqrt(pi) = d
40 / sqrt(pi) =d
y is the diameter so
y = 40 / sqrt(pi)
if c(x)= 5/x-2 and d(x)=x+3, what is the domain of (cd)(x)
Answers
Answer:
Step-by-step explanation:
cd(x) would equal c(x) multiplied by d(x) so we get [tex]\frac{5(x+3)}{x-2}\\[/tex] = [tex]\frac{5x+15}{x-2}\\[/tex].
The domain of [tex]\frac{5x+15}{x-2}[/tex] is anything except 2, so the domain of (cd)(x) is (-inf, 2) U (2, inf).
FIRST ONE TO ANSWER GET'S A BRAINLIEST!!! PLZ HELP ME!!!
Solve for y, if x= -3
Equation: 2x-5y=4
Answers
Answer:
-2/5
Step-by-step explanation:
what is the simplified expression for 74 x 76/ 78
Answers
Answer:
2812/39
Step-by-step explanation:
74 • (76/78)
76/78 = 38/39
74 • 38/39 = 2812/39
Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.
Answers
Answer:
-5 -√8 or ≈ -7.83
Step-by-step explanation:
Solving the quadratic equation, to find its roots:
x^2 + 10x + 25 = 8 ⇒ The left side is perfect square(x+5)^2=8 ⇒ Getting square root of both sidesx+5 = ± √8 ⇒ There are 2 rootsx = - 5 ± √8The smallest root is:
x= -5 - √8 ≈ -7.83solve the system of equations
Answers
Hey, there!!
Given that:
y = 3x.........(i)
[tex]y = {x}^{2} + 3x - 16.......(ii)[/tex]
Putting the value of y in equation (ii)
[tex] {3x}^{} = {x}^{2} + 3x - 16[/tex]
[tex] {x }^{2} - 16[/tex]=0
[tex]( {x)}^{2} - {4}^{2} = 0[/tex]
[tex](x + 4)(x - 4) = 0[/tex]
Therefore,
Either Or
(x+4)=0 (x-4)=0
x= -4 x= 4
so, x= (+ -)4
And if you wanna get value of y, just keep value of x in equation (i).
y= 3x
y= (3×4) or (3×-4)
y= 12 or -12
{As it is the quadratic equation it has two values. }
Hope it helps....
Line segment is a_____
of a line with two end points
Answers
Answer:
A line segment is a segment of a line with two endpoints
Step-by-step explanation:
A line segment is the distance between two endpoints. Lines by definition are infinite so a portion of a line is a line segment.
Evaluate the following expression for the given values of the variables. Please explain i’m really struggling with this! 3m - 4n; For m= -2 and n= -3 A) -6 B) 6 C) -18 D) 18
Answers
Answer:
Hey there!
Given Expression: 3m-4n
Substitute: 3(-2)-4(-3)
Solve: -6+12
Simplify: 6
6 should be your final answer.
Let me know if this helps :)
Answer:
[tex] \boxed{ \bold{ \sf{ \huge{ \boxed{6}}}}} [/tex]Option B is the correct option.
Step-by-step explanation:
Given, m = -2 and n = -3
Given expression : 3m - 4n
If the value of variables of algebraic expressions are given, the value of the term it expression can easily obtained by replacing the variables with numbers.
Let's solve:
[tex] \sf{3m - 4n}[/tex]
Plug the values of m and n
[tex] \sf{ = 3 \times ( - 2) - 4 \times ( - 3)}[/tex]
Multiply
[tex] \sf{ = - 6 - ( - 12)}[/tex]
When there is a ( - ) in front of a parentheses, change the sign
[tex] \sf{ = - 6 + 12}[/tex]
Calculate
[tex] \sf{ = 6}[/tex]
Hope I helped!
Best regards!!