The circumference of a circle is calculated based on its diameter using the formula C = πd. Replace 'd' with the value of the circle's diameter to obtain an expression representing the circumference.
Explanation:The formula for the circumference C of a circle with a diameter d is given by C = πd, where π (Pi) is approximately 3.14. To write an expression to represent the circumference of a specific circle, simply replace the term 'd' with the actual diameter of the circle. For example, if the diameter of the circle is 10 units, then the expression for the circumference would be C = π * 10 or C = 3.14 * 10, hence the circumference C of the circle would be about 31.4 units.
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What are two ways that mathematics are present in nature?
Answer:
These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Early Greek philosophers studied pattern, with Plato, Pythagoras and Empedocles attempting to explain order in nature.
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What is a parent reciprocal
Answer:
Step-by-step explanation: The general form of a reciprocal function is r(x) = a / (x - h) + k. The graphs of reciprocal functions are made up of branches, which are the two main parts of the graph; and asymptotes, which are horizontal and vertical lines that the graph approaches but doesn't touch.
estimate the following difference by replacing each fraction with 0, 1/2 or 1.
7/8 - 6/11
drag numbers to the boxes to complete your answer. numbers may be used more than once or not at all.
1, 1/2, 0, 1/4, 1/8, 2
The estimated difference is [tex]\( \frac{1}{2} \).[/tex]
To estimate the difference [tex]\( \frac{7}{8} - \frac{6}{11} \)[/tex] by replacing each fraction with 0, 1/2, or 1, let's break it down:
For [tex]\( \frac{7}{8} \):[/tex]
- [tex]\( \frac{7}{8} \)[/tex] is close to 1 since it's almost a whole.
For [tex]\( \frac{6}{11} \):[/tex]
- [tex]\( \frac{6}{11} \)[/tex] is close to 1/2 since it's a bit more than half.
So, we have:
[tex]\( 1 - \frac{1}{2} = \frac{1}{2} \)[/tex]
Therefore, the estimated difference is [tex]\( \frac{1}{2} \).[/tex]
write this polynomial in standard form (x+2)(x+5)
Answer:
14
Step-by-step explanation:
John surveyed 25 of his classmates about their music preferences7 students said they like hip-hop, 13 students said they pop, and 8 students said they liked neither hip-hop nor pop musicJohn made a Venn diagram to find the number of students who like both hip-hop and pop music Evaluate John's work Did he use the Venn diagram accurately to arrive at a correct solution?
Answer:
The venn diagram is not included in the question, but il try to answer it in a general way.
We have a sample of 25 persons.
7 of them like hiphop.
13 of them like pop
8 of them do not like neither.
So in our Venn diagarm we will have two circles, one for the students that like pop and other for the students that like hip-hop.
in the pop circle we have 13 students, in the circle of hiphop we have 7 students, and outside both circles we have 8 stundents.
Now, if we add it all we get:
13 + 7 + 8 = 28,
But we have 25 students, this means that 3 of the students like both genres, hip hop and pop.
Then the circles of hip hop and pop must have an intersection, and in the intersection we must have 3 students.
can anyone answer this
Mike purchased a round wall clock the clocks radius is 10m what is the circumference of the clock
Answer:
62.8 m
Step-by-step explanation:
The circumference of the clock is the circumference of a circle which is given by
2 Pi r
Where
Pi = 3.14
Radius r = 10m
Therefore
Circumference = 2 x 3.14 x 10
= 62.8 m
The circumference of the clock is approximately 62.8 meters.
Explanation:To find the circumference of a circle, you can use the formula C = 2πr, where C is the circumference and r is the radius of the circle. In this case, the radius of the clock is given as 10m. Substituting this value into the formula, we have C = 2π(10) = 20π. The approximate value of π is 3.14, so the circumference of the clock is approximately 20(3.14) = 62.8m.
To find the circumference (C) of a round wall clock, you can use the formula C = 2πr, where π (pi) is approximately 3.14 and r is the radius of the clock. In this case, the radius is given as 10 meters. Substituting this value into the formula, the circumference is calculated as C = 2 * 3.14 * 10 meters, which equals 62.8 meters.
Therefore, the circumference of Mike's round wall clock is approximately 62.8 meters. This value represents the total distance around the edge or perimeter of the circular clock face.
I will give you brainliest plz help me
Answer:
There are 36 cubes
Step-by-step explanation:
Answer:
18 cm or 36 cubes
Step-by-step explanation:
hxlxb
h=3
l=3
b=4
3x3x4
36
36 divided by 2 since each cube is half
18
A gate is 3 feet tall and casts a shadow 5 feet long. At the same time, a nearby building is 27 ft tall. If this is to be a proportional relationship, what is the length of the building's shadow?
Answer:
the length of the shadow is 45 feet long
Step-by-step explanation:
Mr. Mole and Bugs Bunny started digging their way into the ground from different locations at the same time. They each dug at a constant rate.
The following equation gives Mr. Mole's altitude (in meters relative to the ground) as a function of time (in minutes). A = -4-0.6t
Bugs Bunny's altitude (in meters relative to the ground) as a function of time (in minutes) is given by the following table of values:
Time (Minutes) Altitude (Meters)
2 -1.6
9 -7.2
16 -12.8
Who dug faster?
A) Mr. Mole
B) Bugs Bunny
C) They both dug at the same rate
Who started at a higher altitude?
A) Mr. Mole
B) Bugs Bunny
C) They both started at the same altitude
Answer:
Bugs bunny did both
Step-by-step explanation:
B
Bugs Bunny dug faster than Mr. Mole since his digging rate is -0.8 meters per minute compared to Mr. Mole's -0.6 meters per minute. Bugs Bunny also started at a higher altitude compared to Mr. Mole. This comparison involves understanding the rates of change from given functions and data points.
To determine who dug faster between Mr. Mole and Bugs Bunny, we need to compare their digging rates.
Comparing Digging Rates
Mr. Mole's altitude function is given by A = -4 - 0.6t. The rate at which Mr. Mole digs is represented by the coefficient of t, which is -0.6 meters per minute.
To find Bugs Bunny's digging rate from the table, we need to calculate the change in altitude over the change in time:From time 2 minutes (-1.6 m) to time 9 minutes (-7.2 m):Rate = (final altitude - initial altitude) / (final time - initial time)= (-7.2 - (-1.6)) / (9 - 2) = -5.6 / 7 ≈ -0.8 meters per minuteFrom time 9 minutes (-7.2 m) to time 16 minutes (-12.8 m):Rate = (final altitude - initial altitude) / (final time - initial time)= (-12.8 - (-7.2)) / (16 - 9) = -5.6 / 7 ≈ -0.8 meters per minuteSince Bugs Bunny's rate is -0.8 meters per minute and Mr. Mole's rate is -0.6 meters per minute, **Bugs Bunny dug faster**.
Comparing Starting Altitudes
Comparing their initial altitudes:
Mr. Mole's initial altitude is -4 meters (when t = 0).
From the table, Bugs Bunny's initial data point is at time 2 minutes, altitude -1.6 meters. To find his initial altitude, we assume constant rate from this point backward:
(-1.6 meters at 2 minutes) + (0.8 meters/minute × 2 minutes) = -1.6 + 1.6 = 0 meters
Thus, Bugs Bunny started at a higher altitude.
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 2. An experiment consists of drawing a
marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue
marbles to each outcome.
Complete the probability distribution table on your own paper. Answer the question in the text box below.
Probability Distribution
Number of blue
Probability
What is the probability of drawing exactly one blue marble? Write a simplified fraction
Mark this and return
Save and Exit
Next
Submit
Answer:
The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.
X | P(X)
0 | 0.390625
1 | 0.46875
2 | 0.140625
b) The probability of drawing exactly one blue marble = 0.46875
Step-by-step explanation:
Complete Question
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.
To write the Probabilty mass function, we have to establish that in two draws with replacement, the possible number of blue marbles that can be drawn is 0, 1 and 2.
Probability of drawing a blue marble = P(B) = (3/8)
Probability of not drawing a blue marble = P(B') = 1 - (3/8) = (5/8)
- Probability of drawing 0 blue marbles in 2 draws with replacement = P(B') × P(B') = (5/8) × (5/8) = (25/64) = 0.390625
- Probability of drawing one blue marble in 2 draws with replacement
= [P(B) × P(B')] + [P(B') × P(B)]
= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875
- Probability of drawing two blue marble in 2 draws with replacement = P(B) × P(B)
= (3/8) × (3/8) = (9/64) = 0.140625
The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.
X | P(X)
0 | 0.390625
1 | 0.46875
2 | 0.140625
b) Probability of drawing one blue marble in 2 draws with replacement
= [P(B) × P(B')] + [P(B') × P(B)]
= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875
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120 students in a fifth grade class are surveyed about what kinds of pets they have. Of the 120 students,
30 have a goldfish, 40 have a mouse, and 10 have a goldfish and a mouse. Using this information, answer
each of the following questions.
Let G be the event that a randomly selected student has a goldfish and M be the event that a randomly
selected student has a mouse.
What is P(G), the probability that a student in the class has a goldfish?
What is P(M), the probability that a student in the class has a mouse?
What is P(G and M), the probability that a student in the class has a goldfish and a mouse?
What is PG or M), the probability that a student in the class has a goldfish or a mouse?
Answer: P(G) = 1/4
P(M) = 1/3
P(G and M) = 1/12
P(G or M) = 1/2
Step-by-step explanation:
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Total Students Surveyed = 120
30 have a goldfish, 40 have a mouse, and 10 have a goldfish and a mouse.
First, the the probability that a student in the class has a goldfish
P(G) = 30/ 120
= 1/4
second, the probability that a student in the class has a mouse
P(M) = 40/120
= 1/3
Third, the probability that a student in the class has a goldfish and a mouse
P(G and M) = 1/4 x 1/3
= 1/12
Fourth the probability that a student in the class has a goldfish or a mouse
P(G or M) = P(G)+ P(M) - P( G and M)
= 1/3+ 1/4 - 1/12
= 6/12
= 1/2
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A movie ticket cost me $5.60 after a 20% coupon. What was the original price of the ticket?
Answer:
7.00
Step-by-step explanation:
discount = original price *20%
final price = original price - discount
Substituting the equation for discount
final price = original price - original price*20%
Factoring out the original price
final price = original price (1-20%)
Changing to decimal form and putting the final price
5.60 = original price (1-.2)
5.60 = original price (.8)
Divide by each side by .8
5.6/.8 = original price (.8)/.8
7 = original price
for which of the following conditions will the sum of integers m and n always be an odd number?
F. m is an odd integer
G. n is an odd integer
H. m and n are both odd integers
J. m and n are both even integers
K. m is an odd integer and n is an even integer
Answer:
Option K
m is an odd integer and n is an even integer
Step-by-step explanation:
The sum of intergers when one is even and another is odd results into an even number. Take for example, if x is even and the next number x+1 their sum will be 2x+1. The presence of +1 at the end shows the number is not divisible by 2 hence an odd number.
Practically, if you add 2+3=5 and 2 is even number while 3 is odd, clearly the sum being 5 is an odd number.
Otherwise, if you add two even numbers or two odd numbers the sum will be an even number.
Even numbers can be divided by 2 without leaving a remainder, while odd numbers can't.
The true condition is condition K: m is an odd integer and n is an even integer
If m is odd and n is odd, then the sum will be even
This means that: Conditions F, G and H cannot be true
As an illustration, we have:
[tex]m + n= 5+ 7[/tex]
[tex]m + n= 12[/tex]
12 is even.
The result will always be even, provided that m and n are odd numbers.
If m is even and n is even, then the sum will be even
This means that: Conditions J cannot be true
As an illustration, we have:
[tex]m + n = 6 + 8[/tex]
[tex]m + n =14[/tex]
14 is even.
The result will always be even, provided that m and n are even numbers.
If m is odd and n is even, then the sum will be odd
This means that: Conditions K is true
As an illustration, we have:
[tex]m + n = 6 + 7[/tex]
[tex]m + n = 13[/tex]
13 is odd.
The result will always be odd, provided that m is odd while, n is even.
Hence: the true condition is:
K. m is an odd integer and n is an even integer
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2 Points
It's Crazy Sock Day, and you need to wear a pair of mismatched socks to
school. You have White, Red, Blue, and Green socks to choose from. Which
list shows all possible combinations of two different sock colors?
O
A. WR, RW, WB, BW, WG, GW, RB, BR, RG, GR, BG, GB
O B. WR, WB, WG, RB, RG, BG
O C. WR, RB, BG, GW
O D. WW, WR, WB, WG, RR, RB, RG, BB, BG
Answer:
B. WR, WB, WG, RB, RG, BG
Step-by-step explanation:
It's only asking for how many color combos you can get, so you multiply 4 by 3, then divide by 2, to get the 6 different combinations.
Express 20 cm to 400 mm in simplest form
Answer:
Step-by-step explanation:
36/24 or 3/2
How much of Earth is covered by Wilderness if we do NOT include frozen areas in the number? Is this
concerning?
Answer:
23%
Step-by-step explanation:
Toni is considering a 3/27 balloon mortgage with an interest rate of 5.1% to
purchase a house for $121,000. What will be her balloon payment at the end
of 3 years?
O
A. $109,715.78
O
B. $108,908.33
O
C. $108,983.14
O
D. $115,460.91
Answer:the answer is D
Step-by-step explanation:
$115,460.91
Her balloon payment at the end of 3 years is $115,460.91. The correct option is D.
What is balloon mortgage?A balloon mortgage is one of the loan with low initial payments but the borrower is needed to repay the balance in a lump sump amount.
Given is the 3/27 balloon mortgage with an interest rate of 5.1% to purchase a house for $121,000.
The rate is fixed for a period of 3 years and later converts to a new fixed rate for the left 27 years.
using the formula for balloon payment.
FV = P*(1+r)n–P*[(1+r)n–1/r]
Substitute P = $121000, r = 5.1 and n=3 years, we get the balloon payment is
FV = $115,460.91
Thus, her balloon payment at the end of 3 years is $115,460.91. The correct option is D.
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6. Under what circumstances would it be better for you to work at Burger Bistro, and under what circumstances would it be better for you to work at Cheeseburger City? Please be specific in your answer.
Answer:
Burger Bistro would be better at 8+ hours. Cheeseburger City would be better at 1-7 hours.
Step-by-step explanation:
Answer:
If you were working either 8-12 hours a day it would be better to work at Burger Bistro. If you multiply 8 by $8 you will get $64 which is more pay then cheese burger city.
what does m equal in this equation, m-7=17
Answer:
Given
m - 7 = 17
m = 17 +7
Therefore m = 24
Answer:
m=24
Step-by-step explanation:
Since m-7=17
We are to find the value of m
And this can be done by making m the subject of formula
So m-7=17
Add 7 to both sides
m=17+7
m=24
Therefore m is 24
can someone pls solve this for me
Given:
m∠WYX = 20°
m∠XYZ = 135°
To find:
The measure of arc WXZ.
Solution:
m∠WYZ = m∠WYX + m∠XYZ
m∠WYZ = 20° + 135°
m∠WYZ = 155°
The measure of inscribed angle is half of the intercepted arc.
[tex]$\Rightarrow m \angle WYZ = \frac{1}{2} m (ar WXZ)[/tex]
[tex]$\Rightarrow 155^\circ = \frac{1}{2} m (ar WXZ)[/tex]
Multiply by 2 on both sides.
[tex]$\Rightarrow 2\times 155^\circ = 2 \times \frac{1}{2} m (ar WXZ)[/tex]
[tex]$\Rightarrow 310^\circ = m (ar WXZ)[/tex]
The measure of arc WXZ IS 310°.
a coin lands on heads 200 times
the relative frequency of heads is 0.4
Answer:
The number of times coin thrown was 500.
Step-by-step explanation:
Relative\ frequency=\frac{Number\ of\ lands\ on\ heads}{Number\ of\ times\ coin\ thrown}
0.4=\frac{200}{x}
By cross multiplying we get:
0.4x=200
Dividing both sides by 0.4 we get:
x=500.
Exponential functions increase rapidly how would you describe the behavior of an inverse function to that
The exponential functions have the form f(x) = bˣ where b> 0 and b≠0.
Step-by-step explanation:
Exponential function is given in the form of f(x)= bˣ
When working with the inverse of a function, the inputs (x) and outputs(y) exchange their places and the inverse will be the reflection over the identity line y= x
The example of exponential function is the growth of bacteria. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours and it is written as f(x) = 2x.
The exponential function will be bigger than the polynomial and it always have the positive number other than 1 as the base.
The instantaneous rate of change of a quantity with respect to time is proportional to the quantity by itself.
In the below figure what is the value of ∠QPR, in degrees, if ∠SPQ is a straight line? The measure of a straight angle is 180 degrees.
Answer:
180
Step-by-step explanation:
spr is one line and qp is another in a perpendicular position
∠QPR has a measure of 61°
What is a linear pair?A linear pair of angles is formed when two lines intersect at a single point. Angles are referred to as linear if they follow the intersection of the two lines in a straight line. The sum of the angles in a pair of linear equations is always 180°.
As per the given data:
From a horizontal line, a line is drawn such that it forms 2 angles, one ∠SPR = 119 degrees and one ∠QPR.
We have to find out the value of ∠QPR.
As the line is drawn from a horizontal line, it forms a linear pair.
From the linear pair property, the sum of the angles must be equal to 180 degrees as the line is horizontal.
After using the aforementioned property:
∠SPR + ∠QPR = 180°
119 + ∠QPR = 180
∠QPR = 180 - 119
∠QPR = 61°
Hence, The measure of angle ∠QPR is 61 degrees.
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(The given question is incomplete, the complete question is given below)
Please help!
How do I tell the difference between sss and sas?
SSS (Side-Side-Side) requires three pairs of equal sides to prove triangle congruence, while SAS (Side-Angle-Side) requires two pairs of equal sides and one pair of equal included angles.
Explanation:In mathematics, specifically in geometry, SSS (Side-Side-Side) and SAS (Side-Angle-Side) are two methods used to determine if two triangles are congruent. Congruent triangles are triangles that have the same size and shape.
SSS (Side-Side-Side)
The SSS criterion states that if all three sides of one triangle are respectively equal in length to all three sides of another triangle, then the two triangles are congruent. You do not need to know any angle measurements.
SAS (Side-Angle-Side)
The SAS criterion states that if two sides and the included angle (the angle between the two sides) of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.
To distinguish between the two, remember that for SSS you're comparing three sides, and for SAS you're comparing two sides and the angle that is between them.
Find the greatest common factor of 12 w' and 8w
Answer:4w
Step-by-step explanation:
To find the greatest common factors of 12w and 8w
Using product of prime factor we get
12w=2×2×3×w
8w=2×2×2×w
Common factors
=2×2×w
=4w
Answer:
4w.
Step-by-step explanation:
12w and 4w:
The GCF of 12 and 8 = 4.
So the answer is 4w.
A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?
Answer:
5 Months start with"J" or "M"
January March May June July
So the probability of a randomly selected month beginning with J or M is
5 / 12
Step-by-step explanation:
Answer: C 5/12
Step-by-step explanation:
EDGE (GOT RIGHT) (:
Which pair of ratios form a proportion? 97 points
5 : 10 and 10 : 15
8 : 12 and 18 : 27
9 : 15 and 24 : 30
6 : 20 and 7 : 30
Answer:
8 : 12 and 18 : 27
Step-by-step explanation:
5 : 10 and 10 : 15
Divide each by 5
1:2 and 2:3 The ratios are not the same
8 : 12 and 18 : 27
Divide the first by 4 and the second by 9
2:3 and 2:3 This is a proportion
9 : 15 and 24 : 30
Divide the first by 3 and the second by 6
3:5 and 4:5 The ratios are not the same
6 : 20 and 7 : 30
Divide the first by 2 and leave the second alone
2:10 and 7: 30 The ratios are not the same
Answer:
B. 8 : 12 and 18 : 27
Step-by-step explanation:
8 : 12
Reduces to
2 : 3
18 : 27
Reduces to
2 : 3
Same simplified ratio, hence proportional
ABCD shown in the coordinate plane below, is dilated with the center at the origin to form quadrilateral
EFGH
What is the scale factor of the dilation?
tontit
A. 1/4
B. 1/3
C. 3
D. 4
Answer:C
Step-by-step explanation:
A school dedicated 50% of the courtyard area for students to start a garden. The students
want to know how much of the 632-square-foot space they will be able to use.
Which expression shows a way to find 50% of 632?
.632
2
.632
Answer:
A. 50% of 632
Step-by-step explanation:
The percentage refers to the whole garden (632) and the amount of this garden they will be able to use. If you need to find the exact number I suggest turning the percent into a fraction (50% is also 1/2) then multilying it by the total (632).
Answer:
317
Step-by-step explanation:
You can find the answer via the equation
632*50%
or
632/2