Answer:
Radius: 4.25 in
Circumference: 26.69 in
Step-by-step explanation:
We Know
D = 8\(\frac{1}{2}\) in
r = ?
C = ?
Let's solve
R = 1/2 · d
1/2 · 8.5 = 4.25 in
So, the radius is 4.25 in
Circumference of circle = d · 3.14
8.5 · 3.14 = 26.69 in
So, the circumference of the circle is 26.69 in
Help help math math math math
Answer:
y=2/1+7
Step-by-step explanation:
What answer choice should i choose
Answer:
Commas
Step-by-step explanation:
Because it would make the reader pause and it's just adding more information to the text giving the reader more understanding
has evolved from simple counting, measurement and calculation, and the systematic study of the shapes and motions of physical objects, through the application of abstraction, imagination and logic, to the broad, complex and often abstract discipline we know today
Mathematics is a discipline that has a long and rich history. It has evolved over time from simple counting and measuring to a broad and complex subject that is used in many fields. The development of mathematics has been driven by the need to solve practical problems, as well as the desire to understand the underlying patterns and structures of the world around us.
Early forms of mathematics, such as counting and measuring, were developed by ancient civilizations to solve practical problems such as trade, construction, and agriculture. These early forms of mathematics were based on empirical observations and were often tied to the physical world.
As mathematics developed, it began to include more abstract concepts such as numbers, geometry, and algebra. These abstract concepts allowed for the development of more complex mathematical techniques and the ability to solve a wider range of problems.
Today, mathematics is used in a wide range of fields including science, engineering, economics, and even art. It is an essential tool for understanding and solving problems in the world around us.
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Which is the best estimate of the difference between 67/8 and 1/82
Answer:
8.36
Step-by-step explanation:
67 - 1
8. 82
= 2747 - 4
328
=2743
328
= 8.36
A chemist is using 344 milliliters of a solution of acid and water. If 17.2% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
which metric unit is used to measure the length of a tennis court
What is the total measurements of this roof in square feet?
The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².
What is the total area of the roof in square feet?It follows from the task content that the total area of the roof as given in the task content is to be determined.
On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.
Therefore;
Area = (71 × 39) - (15 × 8)
= 2649 ft².
Ultimately, the total area measure of the roof in square feet is; 2649 square feet.
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A plant nursery receives shipments of soil in containers as shown below
( a picture of a cube that has 3 numbers - The heigh = 1 1/4 the base =2 . The width= 1 1/2
Part a- what is the volume of the soil in each container in cubic yards
(I put my answer as 3 3/4 which is right I think )
Part b - if a cubic yard of soil weighs 2000 pounds of soil does each container hold?
***I need help with part b pls
The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the three dimensional shape is:
Volume = length * width * height = 1 1/4 * 1 1/2 * 2 = 3.75 yd³
1 yd³ = 2000 pounds
3.75 yd³ = 2000 pounds * 3.75 yd³ = 7500 pounds
The volume of the three-dimensional figure is 3.75 yd³, and it can hold 7500 pounds of soil
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i need help finding b
1800=3×N
help asap plzzz
rogers rent video games. a person that purchase a $2 membership can rent games for $0.50 each, if a person wishes to rent games without a membership they are charged $0.75 per gamea) Write the equations for renting gamesb) graph the equations and determine the intersection point
We have that if a person purchases the $2 dollar membership, then the rate of renting the games is $0.5 for each game. Then, if 'x' is the number of games rented and 'y' is the total cost for renting games, the equation for renting games with membership is:
\(y_m=0.5x+2_{}\)then, for the case where a person rent games without a membership, we have the following equation:
\(y_w=0.75x\)Now, we can graph the equations by using the values y=0 and x=0 to get to points, and then draw the line that goes through them. Then, we have the following for the first equation:
\(\begin{gathered} y_m=0.5x+2 \\ x=0\Rightarrow y_m=0.5(0)+2=2 \\ \Rightarrow(0,2)_{} \\ y_m=0\Rightarrow0=0.5x+2\Rightarrow=-\frac{2}{0.5}=-4 \\ \Rightarrow(-4,0) \\ \\ \end{gathered}\)for the second equation we have to make x=4 and y = 0 to get the following points:
\(\begin{gathered} y_w=0.75x \\ x=4\Rightarrow y_w=0.75(4)=3 \\ \Rightarrow(4,3) \\ y=0\Rightarrow0.75x=0\Rightarrow x=0 \\ \Rightarrow(0,0) \end{gathered}\)then we have the following lines:
notice that the lines have the intersection point (8,6)
six compared to 11 is the same as 84 compared to what number A.154 B.155 C. 145 D. 146
HELP ME PLEASE
Answer:
A
Step-by-step explanation:
\( \frac{6}{11} = \frac{84}{?} \\ = 154\)
What is the value of k if the equation of the line drawn below is 6x + by = k? Step by Step please
Answer:
12
Step-by-step explanation:
a general linear function can be written as
y= mx +b
where "m" is the pendient and "b" it's the point where the funcion has x=0
so u have to solve your ec. for y
\(6x + by = k\)
\(by = - 6x + k\)
\(y = - \frac{6}{b}x + \frac{k}{b} \)
if u see your graph, when x=0 the function's value is 1, so k/b= 1, then k=b
then if we know b , we know k
as I said, m is the pendient, in this case -(6/b) is the pendient
As u may know, the pendient equals tan(alpha)
in this case alpha its the angle between the positive x axis and the function (the big one), we dont have that angle in a triangle to know its tangent, but we have (180-alpha) the littleone, and its tangent is 1/2 (see your graph)
so, for redunction to the first quadrant we have that
\( \tan( \alpha ) = - \tan(180 - \alpha ) = - \frac{1}{2} \)
then,
\( - \frac{6}{b} = - \frac{1}{2} \)
b=12
k=12
The value of k if the equation of the line drawn is 6x + by = k will be 12.
What is linear function?A general linear function can be written as; y= mx +b, where "m" is the pendient and "b" it's the point where the funcion has x=0
Given that;
6x + by = k
by = k - 6x
y = k/b - 6x/b
When x=0 the function's value is 1, thus, k/b= 1, then k=b
In this case -(6/b) is the pendient
The angle between the positive x axis and the function (the big one), we dont have that angle in a triangle to know its tangent, but we have (180-alpha) the littleone, and its tangent is 1/2.
then,
-6/b = -1/2
b=12
k=12
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WILL MARK BRAINLY FOR WHO EVER ANSWERS THIS FIRST
Answer:
(0,1)
Step-by-step explanation:
the answer is (0,1)
I would like a cobweb graph of Newton's Method in python using MatPlotLib please! Something similar to the graph attached please
The steps to visualize Newton's Method by using Matplotlib and PIL is mentioned below.
Describe Derivative?In calculus, the derivative is a fundamental concept that describes how a function changes with respect to its input variable. More specifically, the derivative of a function represents the instantaneous rate of change of the function at a particular point.
Geometrically, the derivative can be interpreted as the slope of the tangent line to the graph of the function at a specific point. If the derivative is positive, the function is increasing at that point; if it is negative, the function is decreasing. A derivative of zero indicates that the function has a stationary point at that location.
To create visualizations of Newton's Method, you will need to use a programming language like Python and some libraries such as Matplotlib, PIL, and NumPy.
Here are some steps you can follow:
Define the function f(x) you want to find the roots of, and its derivative f'(x).Write a function that implements Newton's Method using the formula X_n+1 = Xn-(f(x_n))/ f'(x_n).Choose a starting point x_0 and apply the Newton's Method function to it.Plot the convergence of Newton's Method using Matplotlib. You can plot the function f(x) and the iterations of the Newton's Method on the same plot to see how it converges to the root. You can also plot the convergence rate of the method for different starting points.Use PIL to create a visualization of the basins of attraction for a given function. You can use NumPy to generate a mesh grid of complex numbers in the complex plane and apply Newton's Method to each point to determine which root it converges to. You can then color each point according to which root it converges to and display the resulting image using PIL.By following these steps, you can create interesting visualizations of Newton's Method and explore the properties of this powerful numerical method.
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This graph shows how fast a commuter train travels on its route in an urban area. What is the meaning of the point with an x-coordinate of 4
The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
From the graph, the x coordinate 2, have a y coordinate of 120. Hence:
The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.
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Which transformation would move Point A(-5, -2) to Quadrant IV? Mark all that apply.
To move Point A(-5, -2) to Quadrant IV, we need to apply one or more transformations that result in a reflection about the x-axis and/or a rotation of 180 degrees. The following transformations would move Point A to Quadrant IV:
Reflection about the x-axis: This transformation would change the sign of the y-coordinate, making it positive. So, the image of A after this transformation would be (−5, 2).
Rotation of 180 degrees about the origin: This transformation would change the sign of both the x and y-coordinates, making them positive. So, the image of A after this transformation would be (5, 2).
Therefore, either a reflection about the x-axis or a rotation of 180 degrees would move Point A to Quadrant IV.
A 50 foot rope is stretched tight from the roof of a building to a spot 20 feet from the base of the
building. How tall is the building? Round your answer to TWO decimal places.
47.17 feet is the height of the building.
We can use the Pythagorean theorem to solve the problem:
Let h be the height of the building.
Then we have a right triangle with legs 20 and h, and a hypotenuse 50.
Using the Pythagorean theorem, we have:
\(50^2 = 20^2 + h^2\)
Simplifying and solving for h, we get:
\(h = \sqrt{(50^2 - 20^2)\)
h ≈ 47.17 feet (rounded to two decimal places)
Therefore, the height of the building is approximately 47.17 feet.
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An African elephant weighs about 7 tons. How many pounds is 7 tons?
Answer: 14, 000 pounds
Step-by-step explanation:
1 ton = 2,000 pounds.2,000 * 7 = 14, 000Answer:
14000 POUNDS
= 1 TON = 2000 POUNDS
= 7 TON = 2000 X 7 = 14000 POUNDS
(HOPE IT HELPS U. PLS MARK IT AS A BRAINLIEST)
One shirt at H&M cost $7. what is the cost of 40 shirts
Answer:
$280
Step-by-step explanation:
7•40=$280
Find the surface area of a square pyramid with side length 2 km and slant height 2 km
side length 2 km and slant height 2 km.
to find:the surface area of the pyramid.
solution:area of 4 triangle= 1/2 × 2 × 2 × 4
= 8km
area of rectangle= 2×2
= 4km
area= 4+8
= 12km
so, the surface area of the pyramid is 12km.
Caleb ran eight laps around a circular track with a diameter of 160 feet how far did he run is 3.14 for pi round answer to the nearest hundredth if necessary
Answer:
4021.2ft
Step-by-step explanation:
C=pi•d
C=3.14•160
C=502.65
502.65•8= 4021.2
Question 1
1 points
Save Answer
A manager of a factory purchases a large number of sheets of aluminium, all of them longer than 100 cm in length. Each piece is then cut so that it is 100 cm long. The length of a sample of the off-cuts, in cm, resulting from cutting the lengths to size are given below:
5,2 6,6 3,5 8,9 7,5
7,3
Using the data above:
Calculate the standard deviation of the lengths rounded to 1 decimal place
0 3,6
о 3.7
O 1.9
о 1.7
To calculate the standard deviation of the lengths, we can follow these steps:
Calculate the mean (average) of the lengths.
Calculate the difference between each length and the mean.
Square each difference.
Calculate the average of the squared differences.
Take the square root of the average of the squared differences to obtain the standard deviation.
Let's perform these calculations using the given data:
Lengths: 5.2, 6.6, 3.5, 8.9, 7.5, 7.3
Step 1: Calculate the mean:
Mean = (5.2 + 6.6 + 3.5 + 8.9 + 7.5 + 7.3) / 6 = 38 / 6 = 6.3
Step 2: Calculate the difference between each length and the mean:
5.2 - 6.3 = -1.1
6.6 - 6.3 = 0.3
3.5 - 6.3 = -2.8
8.9 - 6.3 = 2.6
7.5 - 6.3 = 1.2
7.3 - 6.3 = 1
Step 3: Square each difference:
(-1.1)^2 = 1.21
(0.3)^2 = 0.09
(-2.8)^2 = 7.84
(2.6)^2 = 6.76
(1.2)^2 = 1.44
(1)^2 = 1
Step 4: Calculate the average of the squared differences:
(1.21 + 0.09 + 7.84 + 6.76 + 1.44 + 1) / 6 = 18.34 / 6 = 3.06
Step 5: Take the square root of the average of the squared differences:
Standard deviation = √3.06 ≈ 1.7 (rounded to 1 decimal place)
Therefore, the standard deviation of the lengths is approximately 1.7.
the diameter of a circle is 18in find its area to the nearest tenth
Answer:
approximately 254.5
btw area of circle= pi multiplied by radius
Step-by-step explanation: I got you bro
Answer: Circle area = π * r² = π * 81 [inch²] ≈ 254.47 [in²]
but because it asks for nearest tenth
254.5 in²
this is your real answer
Suppose that, as reported by the Centers for Disease Control, about 18% of high school students smoke tobacco. You randomly select 120 high school students to survey them on their attitudes toward scenes of smoking in the movies. a) What's the expected number of smokers? b) What's the standard deviation of the number of smokers?
a) the expected number of smokers is 21.6, and
b) the standard deviation of the number of smokers is approximately 4.21.
a) To find the expected number of smokers, you need to multiply the probability of a student being a smoker (18% or
0.18) by the number of students surveyed (120). So, the expected number of smokers is:
Expected number of smokers = 0.18 × 120 = 21.6
b) To find the standard deviation of the number of smokers, you can use the formula for the standard deviation of a
binomial distribution, which is:
Standard deviation = √(n × p × (1 - p))
where n is the number of students surveyed, p is the probability of a student being a smoker, and (1 - p) is the
probability of a student not being a smoker. Plug in the values:
Standard deviation = √(120 × 0.18 × (1 - 0.18)) = √(120 × 0.18 × 0.82) ≈ 4.21
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Hayley's fuel bills for her house increased from £76 a month in 2021
to £89 a month in 2022. Calculate the percentage increase in Hayley's
fuel bills from 2021 to 2022.
Give your answer correct to three significant figures.
The percentage increase in Hayley's fuel bills from 2021 to 2022 is equal to 17.105%.
What is a Percentage Increase?
The phrase "percentage increase" (or "percentage change" in general) refers to the difference between the final and starting values of a quantity, expressed as a percentage of that number's original value.
Steps to Calculate Percentage Increase?
The formula to calculate Increase (I) is given by, \(I=Y-X\), where \(X\) is the original value and \(Y\) is the new value.The percentage increase formula is given by, \(\%I=\frac{I}{X} \times 100\)Here, in the question, it is given that,
The original amount (X) or the fuel bill in 2021 is £76.
The new amount (Y) or the fuel bill in 2022 is £89.
So, the Increase (I) in the fuel bills from 2021 and 2022 is calculated as,
\(I=Y-X\\\implies I=89-76\\\implies I=13\)
Now, we can calculate the percentage increase in fuel bills from 2021 to 2022 as,
\(\%I=\frac{I}{X} \times 100\\\implies \%I=\frac{13}{76} \times 100\\\implies \%I=17.105\%\)
Therefore, the percentage increase in Hayley's fuel bills from 2021 to 2022 is 17.105%.
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Please i need your help
Answer:
1. YES, BECAUSE WITH TAX, IT WOULD BE 9.88
2. MOVE THE DECIMAL OVER TO THE LEFT BY ONE PLACE
ANSWER IS 5.356
Step-by-step explanation:
IF TAX IS 13% YOU MULTIPLE 8.75 BY 1.13. YOU GET 1.13 FROM THE ORIGINAL PRICE PLUS .13 IN TAX.
Look at this painting by Wassily Kandinsky. What makes it a Futurist work?
Answer:
b
Step-by-step explanation:
The description of speed and movement is decocted in the painting by Wassily Kandinsky. Hence option D is correct.
What is a futurist work?A futuristic work is a product of art that can be a social movement and depicts the future-oriented style and way of expressing one's views as given in the painting the artist has shown the speed and movement that is used to indicates the future aspects or orientation.
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Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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Find the area of rectangle ABCD
Answer: 12
Step-by-step explanation:
You can find the area of a rectangle that forms around it, and then subtract the little extra triangles. You can form a 5 by 5 square around the points. There are 4 extra little triangles. Two of them have a base and height of 2 and 2. Two of them have a base and height of 3 and 3. So you get the total area of those 4 triangles to be: 2+2+4.5+4.5=13. So 25-13=12.