The circumference of a circle is____.
A. The distance around the circle
B. 2pi
C. The length of the radius
D. The length of the diameter
Answers
Answer:
The distance around the circle.
Step-by-step explanation:
Circumference means the outer area of a particular object or the outer border of the object. When we talk about the circle, the total outer round area is the circumference of the circle.
The formula for circle circumference is 2pir
where pi = 3.14 approx and the r = radius of the circle
Hence, the answer is the distance around the circle.
Related Questions
A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. A smaller cylinder is cut out of a larger cylinder. The smaller cylinder has a diameter of 6 millimeters. The larger cylinder has a diameter of 8.4 millimeters. Both cylinders have a height of 10 millimeters. What is the volume of metal in the pipe? Use 3.14 for and round the answer to the nearest tenth of a cubic millimeter. 282.6 mm3 271.3 mm3 553.9 mm3 836.5 mm3
Answers
Answer:
its b
Step-by-step explanation:
got it right on edge
The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.
What is the volume of the cylinder?A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = nr^2h
Where:
n = 22/7 r = radius = diameter / 2The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³
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The telephone company offers two billing plans for local calls. Plan 1 charges $35 per month for unlimited calls and Plan 2 charges $19 per month plus $0.05 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2. b. Explain the meaning of the answer to part a.
help ASAP! answers to part a and b
Answers
The inequality for the number of monthly calls for which Plan 1 is more economical than Plan 2 is,
x > 320.
And x > 320 means that the monthly calls should be more than 320, for Plan 1 to be more economical than Plan 2.
(a) Given, that the telephone company offers two billing plans for local calls. Plan 1 charges $35 per month for unlimited calls.
Plan 2 charges $19 per month plus $0.05 per call.
Let x calls be made,
Now, according to the Plan 1,
the charges for 'x' calls be $35 only
according to the Plan 2,
the charges for 'x' calls be
$19 + $0.05x
Now, Plan 1 is more economical than Plan 2 for,
$35 < $19 + $0.05x
On solving the inequality, we get
$16 < $0.05x
On dividing both the sides by 0.05, we get
16/0.05 < x
320 < x
i.e. the monthly calls be more than 320.
(b) Now, as in part (a) we got,
320 < x
which means that the monthly calls should be more than 320, for Plan 1 to be more economical than Plan 2.
Hence, theinequality for the number of monthly calls for which Plan 1 is more economical than Plan 2 is,
x > 320.
And x > 320 means that the monthly calls should be more than 320, for Plan 1 to be more economical than Plan 2.
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b) You watch a roulette wheel spin 210 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin
Answers
The probability of the ball landing on a red slot on the next spin is still 18/38 or approximately 0.4737 or 47.37%.
The probability of the ball landing on a red slot on a single spin of a standard roulette wheel is 18/38 or approximately 0.4737 or 47.37%. This is because there are 18 red slots out of a total of 38 slots on the wheel.
The outcome of the previous 210 spins has no effect on the probability of the ball landing on a red slot on the next spin. Each spin is an independent event, and the probability of the ball landing on a red slot remains the same for each spin.
Therefore, even though the ball has landed on a red slot for the past 210 spins, the probability of it landing on a red slot on the next spin is still 18/38 or approximately 0.4737 or 47.37%.
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Recall that in Problem 3 of the reading questions for Section 2.1, you found that if f(x) = ln(x), then f'(2) = 1/2. Use this to find a formula for the tangent line to f(x) = ln(x) at x = 2.
Answers
formula for the tangent line is y=x-1 and differentiation of ln(x) is 1/x
A straight line without crossing the curve , it touches the curve at one single point is called tangent . Finding the derivative of a function or a variable in mathematics is called differentiation.
The ratio of the vertical to the horizontal distance between any two points on it is called slope of ray or line or line segment in analytical geometry.
y-y1 = m(x-x1)
If the function passes through (1,0) and the slope equals to 1 is:
y-0 = 1(x-1)
y=x-1
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Tangents are straight lines that only touch curves at a single spot rather than crossing them. Differentiation in mathematics refers to the process of determining a function's or variable's derivative.
The slope of a ray, line, or line segment in analytical geometry is the ratio of the vertical to the horizontal distance between any two locations on it.
y-y1 = m(x-x1) (x-x1)
If a function goes through the point (1, 0) and its slope is 1, then:
y-0 = 1(x-1) (x-1)
y=x-1
use a graph to estimate the coordinates of the rightmost point on the curve x=t-t^6. Then use calculus to find the exact coordinates.
Answers
After estimating the rightmost point of \(x = t - t^6\). For exact coordinates, differentiate the function, set the derivative to zero, and solve for t.
To estimate the rightmost point on the curve x = t - t^6 graphically, we can plot the function and visually identify the point where the curve reaches its maximum x-coordinate. However, for an exact calculation, we need to use calculus.
By differentiating the function with respect to t, we find its derivative as dx/dt = \(1 - 6t^5\). To locate the rightmost point, we set the derivative equal to zero and solve for t: 1 - 6t^5 = 0. Solving this equation, we find the critical point t = (1/6)^(1/5).
Substituting this value of t back into the original equation, we can calculate the corresponding x-coordinate: x =\((1/6)^(1/5) - [(1/6)^(1/5)]^6.\)This gives us the exact coordinates of the rightmost point on the curve x =\(t - t^6\).
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almost done, three more left I think
Answers
Answer:
Nice!!
Step-by-step explanation:
Scott bought a desktop computer and a laptop computer. Before finance charges and the laptop cost $350 more than the desktop. He paid for the computers using two different financial plans. For the desktop the interest rate was 6.5% per year and for the laptop it was 9% per year. The total finance charges for one year for $388. How much did each computer cost before finance charges
Answers
The cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.
What are mathematics operations?A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value.
From the question , we are given that the laptop costs $350 more than the desktop, therefore,
let x represent the cost of the laptop thus, x-350 will be the cost of the desktop .
The total finance charge of $388 is equal to 8% of the cost of the laptop and 7.5% of the cost of the desktop, we solve as;
388 = 0.08(x) + 0.075(x - 350)
252 = 0.08x + 0.075x - 26.25
278.75 = 0.155x
x = 278.75/0.155
x = 1798
Recall that the cost of desktop = x -350
therefore:
1,798- 350 = 1448
The cost of laptop = $1798
The cost of desktop = $1448
Thus, the cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.
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Carlos walked to school on 14 of the 20 school days in february.Which value is equievalent to the fraction of the school days in february that carlos walked to school
Answers
Answer:
obviously he's lazy like dude come on exercise big balloon any way just divide 14 by 20
Step-by-step explanation
Answer:
divide 14 by 20
Step-by-step explanation:
I saw the other answer.
When the scale factor is less than 1 The new image is?
Answers
The new image would be smaller in sample size than the original image.
For example, if the scale factor is 0.5, the new image will be half the size of the original image. To determine the exact size of the new image, the scale factor is multiplied with the width and height of the original image. For example, if the original image is 200 x 100 pixels, and the scale factor is 0.5, the new image will be
(200 x 0.5) = 100 x (100 x 0.5)
= 50 pixels.
The same concept applies when the scale factor is a decimal. For example, if the scale factor is 0.75, the new image will be three-quarters the size of the original image. In this case, the new image would be
(200 x 0.75) = 150 x (100 x 0.75)
= 75 pixels.
In summary, when the scale factor is less than 1, the new image will always be smaller than the original image, depending on the scale factor. The exact size of the new image can be determined by multiplying the width and height of the original image with the scale factor.
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2. f(x)=Vx+2-1
Parent function
Answers
Is it point A Point C Point H or Point L
Answers
Answer:
Step-by-step explanation:
La vaca
El pato
Answer:
L
Step-by-step explanation:
You need to find a point with a large x-coordinate and small y-coordinate or the reverse. Look at point L, (8, 1).
8 - 1 = 7
That is the largest difference between the coordinates of the points shown in the graph.
Warm-Up
After reading "The Human Microbiome" article, you learned that there are trillions of bacteria in the human microbiome. Which of these statements do you agree with most right now? (check one)
(A) Bacteria are disgusting! Most bacteria in the human microbiome are harmful.
(B) Bacteria are great! Most bacteria in the human microbiome are helpful.
(C) I'm not sure! Bacteria are kind of disgusting, but some of them might be helpful.
What other interesting things did you learn from reading "The Human Microbiome"?
Please help me. WHOEVER ANSWERS THIS FIRST WINS BRANIEST
Answers
B. Move on from here
Determine the endpoints of the midsegment connecting side YX and side YZ.
Question 16 options:
A)
(4, 3) and (5, –1)
B)
(1, 2) and (7, 4)
C)
(9, –4) and (7, 4)
D)
(4, 3) and (8, 0)
Please help!
Answers
The midsegment connecting side YX and side YZ is a line segment that connects the midpoints of these two sides. To determine the endpoints of this midsegment, we need to find the midpoint of each side.
To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of the endpoints. In this case, the endpoints of side YX are given as (4, 3) and (8, 0), while the endpoints of side YZ are not provided.
To find the midpoint of side YX, we average the x-coordinates and the y-coordinates separately.
The x-coordinate of the midpoint is (4 + 8) / 2 = 6.
The y-coordinate of the midpoint is (3 + 0) / 2 = 1.5.
Therefore, the midpoint of side YX is (6, 1.5).
Since we do not have the endpoints of side YZ, we cannot determine the exact coordinates of the midsegment connecting these two sides.
Therefore, none of the options provided in the question are correct, as they all give specific endpoints for the midsegment.
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1. y-23=55 2. x-14= -8
3. -15 = n + 18 4. 18.3 + a = 2.7
what are the answers for all of these i need help FAST!!!
Answers
Answer:
1. y = 32
2. x = 6
3. -33 = n
4. a = -15.6
Step-by-step explanation:
1.
y-23=55
+23 +23 (23 cancels)
y = 32
2.
x - 14 = -8
+14 +14 (-14 cancels)
x = 6
3.
-15 = n + 18
-18 -18 (18 cancels)
-33 = n
4.
18.3 + a = 2.7
-18.3 -18.3 (18.3 cancels)
a = -15.6
PLEASE HELP!! DUE SOON!!!
Find the surface area of the sphere (I can't upload the pic but I'll give the radius).
Radius 7 m
A. 56π m²
B. 784π m²
C. 392π m²
D. 196π m²
Answers
Answer:
D
Step-by-step explanation:
This is because the formula is 4×pi×r^2
So 4×pi×7^2
(7^2=49) now plug that in: 4×pi×49
Combine like terms: 4×49=196
Plug that into the equation: 196pi
The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below.
Age 15-19 20-24 25-29 30-34 35-39 40 44 45-54 Number of Multiple Births 89 508 1631 2822 1855 374 119 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old P(30 to 39) =______
(Type an integer or decimal rounded to three decimal places as needed.)
(b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=_____ (Type an integer or decimal rounded to three decimal places as needed.) (c) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was less than 45 years old. P(less than 45)=_____
(Type an integer or decimal rounded to three decimal places as needed.) (d) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. Interpret this result. Is it unusual? Find the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. P(at least 40) =_____ (Type an integer or decimal rounded to three decimal places as needed.) Interpret this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. If 1000 multiple births for women 15-54 years old were randomly selected, we would expect about of them to involve a mother who was at least 40 years old. B. If 1000 multiple births for women 15-54 years old were randomly selected, exactly of them would involve a mother who was at least 40 years old. Is a multiple birth involving a mother who was at least 40 years old unusual? A. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05.
B. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05. C. No, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05. D. No, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05.
Answers
Using the given data on the number of live multiple-delivery births for women aged 15 to 54, we need to calculate probabilities related to the age groups of the mothers. The probability of a randomly selected multiple birth involving a mother aged 30 to 39 will be determined, as well as the probabilities of not being in the age range, being less than 45, and being at least 40. Finally, we need to interpret whether a multiple birth involving a mother aged at least 40 is unusual.
(a) To calculate the probability of a randomly selected multiple birth involving a mother aged 30 to 39, we sum the number of multiple births in that age group and divide it by the total number of multiple births for women aged 15 to 54.
P(30 to 39) = 2822 / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(b) To find the probability of a randomly selected multiple birth involving a mother who is not aged 30 to 39, we subtract the probability found in part (a) from 1.
P(not 30 to 39) = 1 - P(30 to 39)
(c) To determine the probability of a randomly selected multiple birth involving a mother aged less than 45, we sum the number of multiple births for age groups below 45 and divide it by the total number of multiple births for women aged 15 to 54.
P(less than 45) = (89 + 508 + 1631 + 2822 + 1855 + 374) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(d) To find the probability of a randomly selected multiple birth involving a mother aged at least 40, we sum the number of multiple births for age groups 40-44 and 45-54, and divide it by the total number of multiple births for women aged 15 to 54.
P(at least 40) = (374 + 119) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
Interpretation: The answer to part (d) will determine whether a multiple birth involving a mother aged at least 40 is unusual. If the probability is less than 0.05, it can be considered unusual. Therefore, we need to compare the calculated probability to 0.05 and select the correct choice.
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Solve using the quadratic formula. x^2−10x+23=0
Answers
Answer:
x = 5 ± √ 2
Step-by-step explanation:
what is the word used to describe a vector that always points toward the center of a circular path?
Answers
"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."
The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.
The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.
Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.
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Solve the differential equation y'=1-y^2 Solve for y and explain your answer. Also state the equilibrium and nonequilibrium solutions.
Answers
y(x) = tan(x + C) where C is an arbitrary constant of integration. Thus, the equilibrium solutions are y = 1 and y = -1. The non-equilibrium solutions are the values of y that make y' not equal to 0.
EQUILIBRIUM AND NON-EQUILIBRIUMThe general solution to the differential equation y' = 1 - y² is:y(x) = tan(x + C)
Where C is an arbitrary constant of integration.
The equilibrium solutions are the values of y that make y' = 0, which occur when y² = 1. Thus, the equilibrium solutions are y = 1 and y = -1.The non-equilibrium solutions are the values of y that make y' not equal to 0. So the non-equilibrium solutions are the values of y that make y² different from 1, which are values of y that are not 1 or -1.The solution y(x) = tan(x + C) is a family of functions indexed by the arbitrary constant C. The constant C cannot be determined from the information given in the problem, and so the general solution contains all possible specific solutions.
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Someone explain please
Answers
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
Hii can you please help me with this I’m like so stuck with this
Answers
Answer:
help with what
Step-by-step explanation:
there's no image
NO IMAGE Answer:
Step-by-step explanation: I can help but there is no image
chose the correct correspondence
Answers
The angle R corresponds to the angle E.
This comes from the fact that they are alternate interior angles.
Which way is vertical?
Answers
Answer: a vertical line goes up and down
Answer: horizontal is left to right, vertical is up and down.
Step-by-step explanation: a horizontal line is the same direction as the horizon, a vertical line is perpendicular to the horizon
The difference of five times a number and 4
is 9. Find the number.
Answers
Answer:
2.6
Step-by-step explanation:
Make this an equation. 5x-4=9. Add 4 to both sides. 5x=13. Divide both sides by 5. x=2.6. So the number is 2.6.
How do you know that dividing by 1/6 is the same as multiplying by 6?
Answers
Answer:6
Step-by-step explanation:
Why if 1/6 you have to 1 x 6 in Older to get 6
Several years ago, Shelby invested in some gold. Gold is currently valued at $1,548.60 per ounce, which is 38.9% more than Shelby originally paid for it. What was the purchase price of the gold?Several years ago, Shelby invested in some gold. Gold is currently valued at $1,548.60 per ounce, which is 38.9% more than Shelby originally paid for it. What was the purchase price of the gold?
Answers
For the given data, current value of the gold in which Shelby invested is $1548.60 per ounce which is 38.9% more than its original value then the original purchase price is equal to $1114.90 per ounce.
As given in the question,
Current value of the gold is $1548.60 per ounce
Let x be the original purchase price of the gold invested by Shelby
Current value is 38.9% more than the original value of the gold
Required equation to represent the relation between current value and purchase price is given by:
x + (38.9 x/100) = 1548.60
⇒ ( 100x + 38.9x) /100 = 1548.60
⇒ 138.9x /100 = 1548.60
⇒ x = (1548.60 × 100 ) / 138.9
⇒ x = 1114.90 per ounce
Therefore, for the given data, current value of the gold in which Shelby invested is $1548.60 per ounce which is 38.9% more than its original value then the original purchase price is equal to $1114.90 per ounce.
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The first side of a triangle is scm long.
The second side is twice as long as the first.
The third side is 5 cm longer than the second side.
a The perimeter of the triangle is 1 metre.
Write an equation to show this.
b Solve the equation.
c Find the length of the longest side of the triangle.
Answers
Answer:
First side is 19, second side is 38 and third side, the longest is 43.
Step-by-step explanation:
Let's call the first side a.
The second side, being twice as long as the first, is 2a.
The third side is 2a+5.
The equation is:
a+2a+2a+5=100, since 1 metre is 100 centimetre.
5a+5=100
5a=95
a=19
First side is 19, second side is 38 and third side, the longest is 43.
An equation is formed of two equal expressions. The length of the longest side of the triangle is 43 cm.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given to us that the first side of a triangle is x cm long, The second side is twice as long as the first, The third side is 5 cm longer than the second side and The perimeter of the triangle is 1 metre. Therefore,
The length of the first side will be x cms.The length of the second side will be twice x, 2x.The third side is 5 cm longer than the second side, 2x+5.Since the perimeter of the triangle is 1 meter which is equal to 100 cm. And the perimeter is the sum of all the sides of a triangle. The perimeter can be written as,
\(x+(2x)+(2x+5) = 100\\\\x+2x+2x+5=100\\\\5x+5=100\\\\5x=95\\\\x=19\)
Thus, the value of x is 19.
A.) The equation that represents this condition is x+2x+2x+5=100.
B.) The length of the longest side of the triangle is 2x+5, where the value of x is 19. Therefore, the length of the longest side can be written as,
\(\text{Length of the third side} =2x+5 =2(19)+5=38+5=43\rm\ cms\)
Thus, the length of the longest side of the triangle is 43 cm.
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3-10-(-15)
Show and explain work
Answers
Answer:
3-10-(15) equals 8.
Step-by-step explanation:
3-10 equals -7. Then -(-15) becomes a positive because two negatives make a positives producing +15 so it becomes -7+15 which finally becomes 8.
421 3/50 - 212 9/10=
Answers
The answer is 208 4/25 or if you need decimal form 208.16
answer is
\(208 \frac{4}{25} \)
in decimal form.. it will be,
\(208.16\)
She must determine height of the clock tower using a 1.5 m transit instrument (calculations are done 1.5 m above level ground) from a distance 100 m from the tower she found the angle of elevation to be 19 degrees. How high is the clock tower from 1 decimal place?
Answers
Step-by-step explanation:
We can use trigonometry to solve this problem. Let's draw a diagram:
```
A - observer (1.5 m above ground)
B - base of the clock tower
C - top of the clock tower
D - intersection of AB and the horizontal ground
E - point on the ground directly below C
C
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B
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A
```
We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:
tan(ACD) = CE / AB
tan(19) = CE / 100
CE = 100 * tan(19)
CE ≈ 34.5 m (rounded to 1 decimal place)
Therefore, the height of the clock tower is approximately 34.5 m.