Answer:
19.63 m^2
Step-by-step explanation:
This is an Area=pi r^2 equation so it would be 3.14*2.5^2
Zak paid 450 dorllarsfor a motor at discount of 10% find the actual selling price of the motor I need it ASAP
Answer:
hey. Answer is $495 as the actual price of the motor without discount.
Step-by-step explanation:
So you would multiply 450 by .10 and you get 45. So he got $45 off. Then add 450 to 45. Yoy get $495!
Can someone put this in slope intercept form
2x-3y=12
Answer:
Step-by-step explanation:
2x-3y=12
y=2/3x-4
In a group of 33 students, 15 students are enrolled in a mathematics course, 10 are enrolled in a physics course, and 5 are enrolled in both a mathematics course and a physics course. How many students in the group are not enrolled in either a mathematics course or a physics course?
There are 13 students in the group who are not enrolled in either a
mathematics course or a physics course.
We can solve this problem using the principle of inclusion-exclusion,
which states that the size of the union of two sets is given by:
|A ∪ B| = |A| + |B| - |A ∩ B|
where |A| represents the size (number of elements) of set A, and |A ∩ B|
represents the size of the intersection of sets A and B.
In this case, we want to find the number of students who are not enrolled
either a mathematics course or a physics course.
Let M be the set of students enrolled in a mathematics course, and let P
the set of students enrolled in a physics course. Then the number of
students who are not enrolled in either course is:
|not enrolled| = |total| - |M ∪ P|
We are given that |M| = 15, |P| = 10, and |M ∩ P| = 5. To find |M ∪ P|, we
use the inclusion-exclusion principle:
|M ∪ P| = |M| + |P| - |M ∩ P|
= 15 + 10 - 5
= 20
So the number of students who are not enrolled in either course is:
|not enrolled| = |total| - |M ∪ P|
= 33 - 20
= 13
for such more question on word problem
https://brainly.com/question/13818690
#SPJ11
Stress state is given as following.. σ
ij
=
⎣
⎡
20
−4
0
−4
−15
0
0
0
10
⎦
⎤
Calculate normal stress and shear stress acting on a plane perpendicular to direction inclined 30
∘
counter clockwise to σ
11
and direction of three principal stresses and maximum shear stress.
The normal stress and shear stress acting on a plane perpendicular to direction inclined 30° counter clockwise to σ 11 are σn = 16−15√3 and τ = 2+15√3/4. The maximum shear stress is 17.5.
The stress tensor σ given in the problem is:
σ = 201504−400−1500−1010
The normal stress is given by
σn = σ11cos²θ+σ22sin²θ−2σ12sinθcosθ
where
θ = 30°
θ = 30° is the angle between the direction perpendicular to the plane and the direction of σ11
σ11 = 20
σ22 = −15
σ12 = −4
Here is a detailed calculation:
σn = 20cos²(30)+(-15)sin²(30)-2(-4)sin(30)cos(30)
σn = 20cos²(30)+(-15)sin²(30)+4sin(30)cos(30)
σn = 20(3/4)+(-15)(1/4)+4(1/2)(√3/2)
σn = 12−15√3+4√3
σn = 16−15√3
The normal stress is σn = 16−15√3
The shear stress acting on a plane perpendicular to direction inclined 30° counter clockwise to σ11
σ11 is given by:
τ = σ12(sin²θ−cos²θ)+0.5(σ11−σ22)sin2θ
where
θ = 30°
θ=30° is the angle between the direction perpendicular to the plane and the direction ofσ11.
σ11 = 20
σ22 = −15
σ12 = −4
Here is a detailed calculation:
τ = −4(sin²(30)−cos²(30))+0.5(20−(−15))sin(60)
τ = −4((1/4)−(3/4))+0.5(20+15)(√3/2)
τ = 4(1/2)+0.5(35)(√3/2)
τ = 2+15√3/4
The shear stress is τ = 2+15√3/4
Maximum shear stress
The maximum shear stress is given by
τmax = 0.5(σ1−σ2)
whereσ1σ1 andσ2σ2 are the first and second principal stresses.
The eigenvalues of the stress tensor σ are found by solving the characteristic equation:
det(σ−λI)=0
Here is a detailed calculation:
σ−λI = [20150−λ−400−1500−λ0−400−15−λ10−λ]
σ−λI = 0(20150−λ)[(−λ)(−λ−15)+0(−400)]−(−4)[0(−λ−15)+(−400)(−λ)]+0[0(−400)+(20150−λ)(−λ)]
σ−λI = 0λ³+35λ²−605λ−1875
σ−λI = 0
λ = −25,5,3
The maximum shear stress occurs on the plane of maximum shear stress which is at 45° 45° to the coordinate axes.
The maximum shear stress is found to be
τmax = 0.5(σ1−σ2)
τmax = 0.5(20−(−15))
τmax = 17.5.
Therefore, the maximum shear stress is τmax = 17.5.
Learn more about the normal and shear stress from the given link-
https://brainly.com/question/28485445
#SPJ11
Which of the following statements are true about the function y = 3x?
i. The function is a direct variation.
ii. The function goes through the origin.
iii. The constant of variation is
1/3
iv. y is 6, when x is 2.
The following statement are true about the given function
Statements i,ii, and iv
Given Data
We have the following function to analyse
y = 3x
The following statement are true/false about the given function
The function is a direct variation: this is true because an increase in the x value will increase the y valueThe function goes through the origin: for x = 0, y = 0The constant of variation is 1/3: this statement is false, the constant of the variation is 3y is 6, when x is 2: this statement is true, when we plug x = 3, the corresponding value for y is 6Learn more about variation here:
https://brainly.com/question/6499629
Answer:
I,II, and IV
Step-by-step explanation:
A company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". Which of the following statements is true? She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The rcent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.
The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:
Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:
She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.
To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:
S(n) = 70000(1.2)
S(n) = 84000
The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)
S(1) = 84000
The percent increase of her salary is: S(n) = 70000(1.2)n
S(n) - S(n-1) / S(n-1) × 100%
S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%
S(n) - S(n-1) / S(n-1) × 100% = 20%
Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.
To know more about salary visit:
https://brainly.com/question/14371457
#SPJ11
The flow of energy in an ecosystem: A) decreases by 90% at each trophic level. B) is a discrete amount transferred without change. C) transfers from plants to carnivores to herbivores. D) is wasted by the decomposers. E) involves all of these.
The flow of energy in an ecosystem involves all of the following: A) It decreases by 90% at each trophic level. B) It is a discrete amount transferred without change. C) It transfers from plants to carnivores to herbivores. D) It is wasted by the decomposers. Therefore, the correct answer is E) involves all of these.
In an ecosystem, energy is transferred through different trophic levels, starting with producers (usually plants) that convert sunlight into chemical energy through photosynthesis. As energy moves up the food chain, from herbivores to carnivores, each trophic level receives only about 10% of the energy from the level below it. This decrease occurs due to inefficiencies in energy transfer, metabolic processes, and heat loss, resulting in a 90% reduction in available energy at each trophic level.
Energy transfer within an ecosystem occurs through discrete amounts. When one organism consumes another, it gains the energy stored in the consumed organism's tissues. However, not all of the energy obtained by an organism is efficiently used or stored. Some energy is lost as heat during metabolic processes or used for activities such as movement, reproduction, or growth. Therefore, energy transfer is not a continuous flow but rather a discrete transfer from one organism to another.
In terms of the direction of energy flow, energy initially enters the ecosystem through photosynthesis performed by plants or other autotrophs. These primary producers convert solar energy into chemical energy stored in organic compounds. Herbivores, such as animals that feed on plants, obtain energy by consuming these producers. Carnivores, in turn, consume herbivores, transferring energy further along the food chain. Therefore, energy flows from plants to herbivores and then to carnivores, indicating the transfer of energy from one trophic level to another.
Decomposers, such as bacteria and fungi, play a crucial role in the ecosystem by breaking down organic matter and returning nutrients to the environment. While decomposers facilitate the recycling of nutrients, they also release energy in the form of heat during the decomposition process. This energy is considered wasted in terms of its availability for further use by other organisms.
In summary, the flow of energy in an ecosystem involves multiple factors. It decreases by 90% at each trophic level, transfers through discrete amounts, moves from plants to herbivores to carnivores, and includes the involvement of decomposers. Hence, the correct answer is E) involves all of these.
Learn more about discrete:
brainly.com/question/30565766
#SPJ11
Jackson and his brother went to lunch on Saturday. Jackson’s lunch was $35 and his brothers was $40. If three paid 4% sales tax and Jackson left a 20% tip on the cost of the meals before tax, how much did they spend in all?
Answer: $108
Step-by-step explanation:
Total cost: 35+40 = $75
Tip that Jackson left: 0.4 x 75 = $30
Tax: 0.04 x 75 = $3
Add em all up:
75 + 30 + 3 = $108
Have a nice day :D
How do you find the mean of 4 numbers?
How do you find the mean of 4 numbers?
Finding the mean, refers to finding the average. To do this, add the four numbers together and then divide that number by 4.
Identify the area of the figure rounded to the nearest tenth
Answer:
118.7 inches squared.
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The expression for solving the area of a circle is A = π × \(r^{2}\).
To solve for the semicircle above, we can divide the diameter into 2 to get the radius.
12 ÷ 2 = 6So, the radius of the upper semicircle is 6 inches.
If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.
A = π × \(6^{2}\)This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.
To solve for the lower semicircle, we can do the same this as we did above.
A = π × \(r^{2}\)But wait, we don't know the radius or diameter!
No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.
To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.
6 ÷ 2 = 3So, the radius of the circle is 3.
Now we can insert 3 into the expression.
A = π × \(3^{2}\)This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.
Adding the two semicircles together:
18π + 4.5π = 22.5π22.5 × π ≈ 70.6858So, the area of both semicircles is approximately 70.6858 square inches.
To solve for the area of a rectangle we use the expression:
A = length × widthInserting the dimensions of the rectangle:
8 × 6 = 48So, the area of the rectangle is 48 square inches.
Adding the two areas together:
70.6858 + 48 = 118.6858 ≈ 118.7Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).
Josie used 7/12 gallons of gas and then 3/12 gallons of gas how much did she use in all
Answer:
10/12
Step-by-step explanation:
We dont need to change the denominator, so we can just add 7 + 3 which is 10, so the answer is 10/12
Have a good day!
You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Answer:
2x + 4y = 110
Step-by-step explanation:
Let
The quantity of small tables = x
The quantity of large tables = y
The smaller tables can fit 2 people, the larger tables can seat 4 people.
Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Number of people×quantity (small table) + number of people×quantity (large table) = 110
2x + 4y = 110
How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times
Answer:
Step-by-step explanation:
The loop will run an infinite number of times
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP I DO ANYTHING JUST HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
A train traveling from Boston to New York moves at a constant speed. The train covers 260 miles in 3.25 hours. Write an equation that represents this relationship. Explain what your equation tells you about the train.
1. Set up the variables
2. Find the C.O.P
3. Create the equation.
A rectangle is 8 feet long. Its width is represented by "seven plus x feet." Which expression represents the area, in square feet, of the rectangle? A 15 + x B 56 + x С 56 + 7x D 56 + 8x
Answer:
d
Step-by-step explanation:
fill in for x. 8*8 is 64. 56+9=64.
a helpful rule for converting radians to degrees is
Answer:
Degrees = Radians x 180/π
or
Degrees = 57.2958 x radians
Step-by-step explanation:
1 radian = 180/π degrees
1 radian = 57.2958 degrees
Multiply radians by this factor of 57.2958 to get the equivalent measure in degrees
π radians = 180°
2π radians = 360° which is the number of degrees in a circle
For anything greater than 2π radians you will have to subtract 360°
For example, 7 radians using the formula is 7 x (57.2958 ) ≈ 401.07°
But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°
Help me with this one
Answer:
traingle
Step-by-step explanation:
back in the 6 grade i got the bad grades i was in love with my tutor
true or false: when two variables are highly correlated, a change in the value of one will cause a change in the value of another.
The given statement "a change in the value of one variable will result in a change in the value of the other when the two variables are highly linked" is FALSE.
What are variables?Any feature, characteristic, or circumstance that can exist in various amounts or types is considered a variable.
Independent, dependent, and controlled variables are typically present in an experiment.
The variable that is altered by the scientist is the independent variable.
A false correlation between two variables indicates that their correlation coefficient is almost zero.
When two variables have a strong correlation, altering the value of one will not affect the other.
Therefore, the given statement "a change in the value of one variable will result in a change in the value of the other when the two variables are highly linked" is FALSE.
Know more about variables here:
https://brainly.com/question/82796
#SPJ4
Using the digits 1-9 , at most one time each, to fill the blanks. how many ways can you find to do this? lim
\(Solution(1)Digit 1 to 9Lef $x \rightarrow 1, x^{\prime}$$$\lim _{x \rightarrow 1}=1^{\prime}=1$$$\lim _{\lim ^9}=(1)^9=1$$[9$ ways $]$Similarlyt$$\lim _{x \rightarrow 2} x^{\prime}=2^{\prime}=2$$$\lim _{x \rightarrow 2} x^9=\lim _{x \rightarrow 2} 2^9=512 \quad[9$ ways $]$Total no. of ways $=9 \times 9=81$ ways.Required No, of ways $=81$ Ans\)
What is limit?This article discusses the idea of limit in general. See Limit of a sequence and Limit of a function for additional detailed situations. See Mathematics (limit) for further usage.
Limits are crucial to calculus and mathematical analysis because they are needed to determine continuity, derivatives, and integrals. Limits are the value that a function (or sequence) approaches when the input (or index) approaches some value.
In addition to being closely connected to limit and direct limit in category theory, the idea of a limit of a sequence is further expanded to include the idea of a limit of a topological net.
To know more about limit, visit;
https://brainly.com/question/8533149
#SPJ4
Questions
Which of the following are square roots of the number below? Check all that
apply.
25
O A. 251/2
O B. 16
C. -5
I D. 5
E. 20
OF 251/2
SUBMIT
Answer: The answer is A, B, C, F
Step-by-step explanation: hope this helps
The correlation coefficient between the two quantitative variables is approximately 0.006. What does the value of this correlation coefficient indicate about how well the model fits the data? A.) The model is a good fit. B.) The correlation coefficient is not within the correct range. C.) The model is not a good fit. D.) No conclusion can be drawn regarding how well the model fits the data
The answer is C.) The model is not a good fit.
An old bridge consists of a 350 ft. wood bridge on the left, followed by 1200 ft. of a modern metal bridge, closed out by another 350 ft. wood bridge on the right. The wood is starting to rot so the city has decided they will The geometric representation of the product of two numbers, m, and n, is the area of a rectangle whose sides are of lengths m and n. However, the edges of that rectangle are line segments. What could someone do if they wanted the product of two line segments to be represented as another line segment?
If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles
How to know what to doThe correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.
If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.
To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.
Learn more about line segments at: https://brainly.com/question/17374569
#SPJ1
Halp me
Discuss the important features of the box-and-whiskers plot.
Answer:
As shown, a box-and-whisker plot is a way of summarizing a set of data measured on an interval scale. This type of graph is used to show the shape of the distribution, its central value, and its variability.
Explanation:
100% When I put this in
(-3,7), (5,11) what is the slope and can u show me how u got it please
Answer:
The formula for the slope is:
\(\frac{y_2-y_1}{x_2-x_1}\)
Assign each given point to a variable:
(x₁, y₁) = (-3, 7)(x₂, y₂) = (5, 11)Substitute in the values into the formula:
\(\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-(-3)}=\frac{4}{8} =\frac{1}{2}\)
Therefore, the slope is 1/2.
Answer:
1/2
Step-by-step explanation:
The formula for slope: \(\frac{y^2-y^1}{x^2-x^1}\)
Plug in:
\(\frac{11-7}{5-(-3)}\)
11 - 7 = 4
5-(-3)
5 + 3 = 8
4/8 = 1/2
The slope is 1/2.
Hope this helped.
What inequality is shown on this graph
Answer:
x is less than or equal to -2
Step-by-step explanation:
Evaluate the expression for the given value of x.
−6x + 5 for x= −6
You are depositing $30 each month in a credit union savings club account. You are getting 0. 7%
monthly (8. 4% annually) interest on the account. Write a recursive rule for the nth month.
The recursive rule for the nth month is: Savings[n] = Savings[n - 1] + 0.7/100 * Savings[n - 1] + 30
The given information states that an individual is depositing $30 each month in a credit union savings club account.
Also, getting 0.7% monthly (8.4% annually) interest on the account. A recursive rule for the nth month can be found below:
The recursive rule for the nth month is given as:
Savings[n] = Savings[n - 1] + 0.7/100 * Savings[n - 1] + 30
Where Savings[n] is the amount in the account at the end of the nth month. Savings[n - 1] is the amount in the account at the end of the (n-1)th month.
The calculation involves the following steps:
Savings[0] = 0 [Initial balance]
Savings[1] = Savings[0] + 0.7/100 * Savings[0] + 30 = 0 + 0.7/100 * 0 + 30 = 30
Savings[2] = Savings[1] + 0.7/100 * Savings[1] + 30 = 30 + 0.7/100 * 30 + 30 = 60.21
Savings[3] = Savings[2] + 0.7/100 * Savings[2] + 30 = 60.21 + 0.7/100 * 60.21 + 30 = 90.6327...
And so on.
The recursive rule for the nth month is: Savings[n] = Savings[n - 1] + 0.7/100 * Savings[n - 1] + 30
To learn about the recursive rule here:
https://brainly.com/question/29508048
#SPJ11
Mary made a 48.5% on her math test. Which of the following shows a fraction and a decimal equivalent to 48.5%? 485 A and 0.485 10.000 485 B and 48.5 100 485 С and 4.85 100 485 D and 0.485 1.000
please show me the work I need it right know☹️
B.
you can eliminate A and D because grades are distributed by 100. and c only has 4.85 when the question says she made a 48.5
What is the value of the expression below when w=3?
6w-9
Answer:
9
Step-by-step explanation:
Substitute w = 3 into the expression
6w - 9
= 6(3) - 9
= 18 - 9
= 9
suppose that f(0)=−3 and f′(x)≤8 for all values of x. use the mean value theorem to determine how large f(4) can possibly be. answer: f(4)≤
The largest value that f(4) can possibly be is 29.
The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:
f(b) - f(a) = f'(c)(b - a)
In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:
f(4) - f(0) = f'(c)(4 - 0)
Substituting the given values:
f(4) - (-3) = f'(c)(4)
f(4) + 3 = 4f'(c)
Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:
f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32
Therefore, we have:
f(4) ≤ 32 - 3 = 29
Learn more about the differentiation here:
brainly.com/question/954654
#SPJ11