Answer:
1,2
Step-by-step explanation:
if this is wrong, pls say so
A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: The figure shows a cylinder of height 12 inches and diameter 8 inches. What is the approximate inside volume of the pipe? (8 points)
398 cubic inches
603 cubic inches
565 cubic inches
412 cubic inches
Answer:
It's 398
Step-by-step explanation.
Diameter of 8.
height of 12.
8 - .75 - .75= 6.5
6.5/2 = 3.25
3.25 x 3.25 x 12 x 3.14 = 397.995
round to the nearest whole number and you get
398
Take the diameter (8) an subtract is by both sides of the walls (0.75 each wall) that gives you 6.5. Take that 6.5 and half that, because you need to have the radius to solve volume problems, giving you 3.25. Then multiply 3.25 by 3.25 together ( I know it seems redundant but it just works easier this way) This gives you 10.5625. After that take 10.5625 then multiply it into 12, being the height, which gives you 126.75. Finally take 126.75 and multiply that into 3.14 (pie) giving you the answer.
The approximate inside volume of the pipe is 398 cubic inches.
We must use the Volume formula for a right Cylinder to calculate the approximate Inside Volume of the pipe, which is described below:
\(V = \pi \cdot (r-t)^{2}\cdot h\) (1)
Where:
\(V\) - Inside volume, in cubic inches.
\(r\) - Radius of the iron pipe, in inches.
\(t\) - Wall thickness of the iron pipe, in inches.
\(h\) - Height of the cylinder, in inches.
If we know that \(r = 4\,in\), \(t = 0.75\,in\) and \(h = 12\,in\), then the approximate inside volume of the pipe:
\(V = \pi\cdot (4\,in-0.75\,in)^{2}\cdot (12\,in)\)
\(V \approx 398.197\,in^{3}\)
The approximate inside volume of the pipe is 398 cubic inches.
Please see this question related to the Volume of Cylinders: https://brainly.com/question/15891031
Classify the following triangle. Check all that apply.
Answer:
Equilateral and acute
Step-by-step explanation:
Notice that the angles of the triangle are all 60 degrees which is less than 90 degrees. Also notice the lines in the middle of the triangle lines, those signify that the lines are the same length. Thus making it acute and equilateral
Answer:
Its both equilateral and acute
Step-by-step explanation:
It's equilateral because it has same equal angles and acute because its less than 90 degrees for each angle.
You are to repaying a loan with 96 monthly repayments of $180.00, with the first repayment being one month after you took out the loan. Interest is charged at j12=8.0730%p.a. Immediately after your 93 th repayment, the Outstanding Principal is: 1) $532.81 2) $529.25 3) $543.64 4) $540.00
The outstanding principal after the 93rd repayment is approximately $532.81. The correct answer is 1) $532.81.
To calculate the outstanding principal after the 93rd repayment, we need to determine the loan's initial principal and the monthly interest rate.
- Monthly repayment: $180.00
- Number of repayments: 96
- Interest rate: 12 = 8.0730% per annum
First, let's calculate the monthly interest rate by dividing the annual interest rate by 12:
Monthly interest rate = j12 / 12
Monthly interest rate = 8.0730% / 12
Monthly interest rate = 0.67275% or 0.0067275 (as a decimal)
Next, we can use the loan amortization formula to calculate the initial principal (P) of the loan:
Initial principal (P) = Monthly repayment / ((1 + Monthly interest rate)^(Number of repayments) - 1)
P = $180.00 / ((1 + \(0.0067275)^(96) - 1)\)
P ≈ $14,557.91
Now, we can determine the outstanding principal after the 93rd repayment. We need to calculate the remaining principal after 93 repayments using the following formula:
Outstanding principal = Initial principal * ((1 + Monthly interest rate)^(Number of repayments) - (1 + Monthly interest rate)^(Number of repayments made))
Outstanding principal = $14,557.91 * ((1 + 0.0067275)^(96) - (1 + \(0.0067275)^(93))\)
Outstanding principal ≈ $532.81
Therefore, the outstanding principal after the 93rd repayment is approximately $532.81.
The correct answer is 1) $532.81.
Learn more about amortization here:
https://brainly.com/question/32732448
#SPJ11
Please answer this, i need this as soon as possible.
Answer:
I think its A
Step-by-step explanation: tell me if im wrong thought i wanna know
Let A be a connected and compact Jordan region with |A| > 0 and let ƒ: A → R be a function continuous on A. Prove that there exits xo E A such that 1 f(x₁) = = // f(x)dx. |A| A
The presence of xo in A with the end goal that 1/|A| ∫ f(x)dx = f(xo). This finishes the confirmation.
To demonstrate the presence of a point xo in A to such an extent that 1/|A| ∫ f(x)dx = f(xo), where A will be an associated and minimized Jordan district with |A| > 0 and ƒ: A → R is a nonstop capability, we can involve the Mean Worth Hypothesis for Integrals.
In the first place, we should characterize a capability F: A → R as F(t) = 1/|A| ∫ f(x)dx - f(t), where t is a point in A. We need to show that there exists xo in A to such an extent that F(xo) = 0.
Since A will be an associated and minimal Jordan locale, it is likewise a shut and limited subset of R^n. Subsequently, A will be a smaller set. We realize that consistent capabilities on minimized sets accomplish their greatest and least qualities.
Since F is a consistent capability on the minimized set A, it accomplishes its most extreme and least qualities. Let M = max{F(t) : t in A} and m = min{F(t) : t in A}.
We have two cases to consider:
Case 1: In the event that M ≤ 0 and m ≥ 0, F(t) = 0 for all t in A, including xo. For this situation, we have demonstrated the presence of xo to such an extent that 1/|A| ∫ f(x)dx = f(xo).
Case 2: If either M > 0 or m < 0, we accept without loss of over-simplification that M > 0. Since M is the greatest worth of F on A, there exists a point t1 in A with the end goal that F(t1) = M. Essentially, we expect to be that m < 0, and there exists a point t2 in A with the end goal that F(t2) = m.
Consider the consistent way γ(t) from t1 to t2 in A. Since An is associated, such a way exists. Presently, characterize another capability G: [0, 1] → R as G(s) = F(γ(s)).
We have G(0) = F(γ(0)) = F(t1) = M > 0, and G(1) = F(γ(1)) = F(t2) = m < 0. In this way, by the Halfway Worth Hypothesis, there exists a point s0 in [0, 1] with the end goal that G(s0) = 0.
Let xo = γ(s0). Since G(s0) = F(γ(s0)) = 0, we have F(xo) = 0. Subsequently, we have demonstrated the presence of xo in A to such an extent that 1/|A| ∫ f(x)dx = f(xo).
In the two cases, we have shown the presence of xo in A with the end goal that 1/|A| ∫ f(x)dx = f(xo). This finishes the confirmation.
To know more about Integrals refer to
https://brainly.com/question/31059545
#SPJ11
Write in Standard Form. 3x2 4x + 7x3 + 1
The Standard Form of the polynomial function 3x^2 4x + 7x^3 + 1 is 7x^3 +3^2 +4x + 1
What is the meaning of the Standard Form of polynomial function?The meaning of the Standard Form of polynomial function can be explained as when the terms are in this equation or functions are be written in descending order of exponents.
This is usually done starting from the from left to right, we were given the function as :3x^2 +4x + 7x^3 + 1 , then let us arrange it as:
7x^3 +3^2 +4x + 1
Therefore, the Standard Form of polynomial function is 7x^3 +3^2 +4x + 1 .
Read more about Standard Form at:
https://brainly.com/question/19169731
#SPJ1
suppose that for a particular family of t-distributions that t2 has 2 degrees of freedom (df) and t9 has 9 degrees of freedom. what would you anticipate happening to tdf as the df increase?
The critical t-distribution values converge to the critical z-distribution values as a particular family of t-distributions that t2 has 2 degrees of freedom (df) and t9 has 9 degrees of freedom.
What is degree of freedom?The maximum number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the total number of items in the data sample. Degrees of freedom, also known as numerical freedom of variance, are the maximum number of logically independent values that can be present in sample data. Degrees of freedom are frequently brought up when discussing various mathematical hypothesis testing techniques, like the chi-square.
To know more about degree of freedom,
https://brainly.com/question/16254305?referrer=searchResults
#SPJ4
*PLEASE HELP I HAVE 5 MINUTES* A scale drawn on a map represents 1 inch to be equal to 32 miles. If two
42/ in. apart on the map, what is the distance between them in real
cities are 43
life?
OA. 120 mi.
OB. 136 mi.
O C. 104 mi.
D. 152 mi.
Answer:
152 miles away
Step-by-step explanation:
i dont have an explanation srry
ao efetuar a divisão entre dois numeros inteiros positivos, obteve como resultado a dizima periodica 0,57. para obter um numero natural maior que essa dizima, tem que adicionala a que fração
Answer:
I will answer in English:
We first have a rational number, the quotient between 2 positive integer numbers is 0.57....
And we want to find which number we should add in order to get 1.
Then we have:
A/B = 0.5757...
So if we have:
x = 0.5757....
we have two periodic decimals, then we multiply by 100 (the number of zeros is equal to the number of periodic decimals)
100*x = 57.575757
Now we subtract the original number:
100*x - x = 99*x = 57.575757... - 0.5757 = 57.
Then we have:
99*0.5757... = 57
0.575757... = 57/99
Now that we know the original fraction, if we want to find a fraction such that:
0.57... + a/b = 1
57/99 + a/b = 1
we should use the same denominator in both fractions:
b = 99
57/99 + a/99 = 1
57 + a = 99
a = 99 - 57 = 42
Then the fraction is 42/99
What is the solution to the inequality?
Express yourself in interval notation.
Answer:
\(\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \frac{20}{23}\:\\ \:\mathrm{Decimal:}&\:x\ge \:0.86956\dots \\ \:\mathrm{Interval\:Notation:}&\:[\frac{20}{23},\:\infty \:)\end{bmatrix}\)
Step-by-step explanation:
\(-\frac{2}{3}\left(2x-\frac{1}{2}\right)\le \frac{1}{5}x-1\)
Expand \(-\frac{2}{3}\left(2x-\frac{1}{2}\right)\le \frac{1}{5}x-1\) \(-\frac{4}{3}x+\frac{1}{3}\)
\(-\frac{4}{3}x+\frac{1}{3}\le \frac{1}{5}x-1\)
\(\mathrm{Subtract\:}\frac{1}{3}\mathrm{\:from\:both\:sides}\)
\(-\frac{4}{3}x+\frac{1}{3}-\frac{1}{3}\le \frac{1}{5}x-1-\frac{1}{3}\)
\(Simplify\)
\(-\frac{4}{3}x\le \:-\frac{4}{3}+\frac{1}{5}x\)
\(\mathrm{Subtract\:}\frac{1}{5}x\mathrm{\:from\:both\:sides}\)
\(-\frac{4}{3}x-\frac{1}{5}x\le \:-\frac{4}{3}+\frac{1}{5}x-\frac{1}{5}x\)
\(Simplify\)
\(-\frac{23}{15}x\le \:-\frac{4}{3}\)
\(\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\)
\(\left(-\frac{23}{15}x\right)\left(-1\right)\ge \left(-\frac{4}{3}\right)\left(-1\right)\)
\(\mathrm{Simplify}\)
\(\frac{23}{15}x\ge \frac{4}{3}\)
\(\mathrm{Multiply\:both\:sides\:by\:}15\)
\(15\cdot \frac{23}{15}x\ge \frac{4\cdot \:15}{3}\)
\(Simplify\)
\(23x\ge \:20\)
\(\mathrm{Divide\:both\:sides\:by\:}23\)
\(\frac{23x}{23}\ge \frac{20}{23}\)
\(\mathrm{Simplify}\)
Hence the final answer is \(\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \frac{20}{23}\:\\ \:\mathrm{Decimal:}&\:x\ge \:0.86956\dots \\ \:\mathrm{Interval\:Notation:}&\:[\frac{20}{23},\:\infty \:)\end{bmatrix}\)
The zoo needs to replace some of the railroad tracks that support their train ride. The total length of the track is 500 feet,
and there are three sections that need to be replaced. These sections measure 61, 83, and 63 feet. How much of the zoo
railroad track does not need to be replaced?
Answer:
293 feet.
Step-by-step explanation:
Their track is 500 feet, and there are three sections. Add these sections(61+83+63=207) and subtract from the total(500-207=293)
A new building in the shape of a square pyramid is to be constructed. The slant height will be five times the side length of the base. There will be between 20,000 square feet and 50,000 square feet of construction material used for the outside of the building. What would be the maximum possible side length of the base of the building? Round your answer to the nearest foot.
A.
89 feet
B.
141 feet
C.
71 feet
D.
45 feet
The maximum possible side length of the base of the building is; C: 71 feet.
How to determine the maximum side length of a Pyramid?The given parameters of the new building in the shape of a square pyramid that is to be constructed are as follows:
Base is expressed as b
Slant height (l) is expressed as 5b
The lateral surface area of the square pyramid is calculated from the formula given as;
LSA = 2bl
Thus, the lateral surface area is expressed as;
L = 2 * b * 5b
L = 10b²
The total surface area is calculated using the formula:
T = L + b²
Thus, plugging in the value of 10b² for L gives the total surface area as;
T = 10b² + b²
T = 11b²
The maximum surface area is 50,000 square feet and so we can find b from the following expression;
11b² = 50000
Divide both sides of the equation by 11 to get;
b² = 50000/11
b = √(50000/11)
b = 71 feet to the nearest foot.
Read more about Pyramid side length at; https://brainly.com/question/22744289
#SPJ1
a triangle has side length of 10 inches, 24 inches, and 26 inches. Is the triangle a right triangle?
Write an expression to model the situation:
A rental car costs $35 plus 55¢ per mile to rent. Use m to represent the number of miles.
PLEASE BE ACCURATE!!!! THANK YOU!!!:)
Answer:
cost = 35+0.55*m
Step-by-step explanation:
let miles = m
cost = 35+0.55*m
How many manifestos Does Agile have?.
Agile has 12 manifestos
What is the agile manifestosThe Agile Manifesto was created in 2001 by a group of software development practitioners who came together to discuss and define a set of guiding principles for more effective and flexible software development processes.
The Agile Manifesto consists of four core values:
Individuals and interactions over processes and tools.Working software over comprehensive documentation.Customer collaboration over contract negotiation.Responding to change over following a plan.Read more on agile manifestos here https://brainly.com/question/20815902
#SPJ4
What are the parametric equations for the line passing through point A(-3,2) and point B(5,0)?
Some one please help show steps to but make it simple please don't make the steps complicated.
The parametric equations for the line passing through points A(-3, 2) and B(5, 0) ar; x(t) = -3 + 8t, and y(t) = 2 - 2t.
option C
What is the parametric equation for the lines?The parametric equations for the line passing through point A(-3, 2), and point B(5, 0) is calculated as follows;
The x-coordinate (x(t)) of a point on the line is calculated as follows;
\(x(t) = x_A + (x_B - x_A)t\)
Where;
\(x_A \ and\ x_B\) are the x-coordinates of points A and Bx(t) = -3 + (5 - (-3))t
x(t) = -3 + 8t
x(t) = -3 + 8t
The y-coordinate (y(t)) of a point on the line is calculated as;
\(y(t) = y_A + (y_B - y_A)t\)
Where;
\(y_A \ and \ y_B\) are the y-coordinates of points A and B, respectively.y(t) = 2 + (0 - 2)t
y(t) = 2 - 2t
Learn more about parametric equations here: https://brainly.com/question/30451972
#SPJ1
he factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x – 4? (x + 4) and (x – 4) (x + 3) and (x – 4) (x + 4) and (x – 1) (x + 3) and (x – 1)
Answer:
x-1 and x+4. srry if i am wrong
Step-by-step explanation:
How do you find the center and scale factor of a dilation?
Center point of dilation is a fixed point in a plane about which all the points of the figure expanded or contract. And scale factor of a dilation is the ratio of new formed image to the old given image.
Explanation:
Center of a dilation is considered as a fixed point in the given plane.Around the center point of dilation all the points of the given and new figure expanded or contracts.Translate the center of dilation and the given figure , now origin becomes the center and translate back to get the center of dilation.Scale factor can be calculated as the ratio of the dimension of the new image formed to the dimensions of the old given image.If new or old images not defined then ratio of larger to the smaller image gives the scale factor.Therefore, the center of the dilation can be find using the translation and scale factor can be calculated using the ratio of the new to the old images.
Learn more about dilation here
brainly.com/question/13176891
#SPJ4
What is the probability that Nathan scores three goals if he take six shots in the game .
He has a 50/50 chance, so three
.
Answer:
waaa waaa
Step-by-step explanation:
i wont to play fortnite but i can because i have home work :(
please I really need help
correct answer=branliest
1-more than/less than/the same as
2-greatest x -value/x-intercept/y-intercept/slope
3- greater than/less than/equal to
4-greatest x -value/x-intercept/y-intercept/slope
5-dollars per ounce/ounces per dollar
Answer:
Gold is LESS expensive than platinym because SLOPE of graph is LESS
SLOPE gives UNIT DOLLARS PER OUNCE.
Step-by-step explanation:
sorry im late
I need help with this please. Brainliest to person who answers first. Its worth 12 points.
Question is in attachment.
Answer:
54x + 36
Step-by-step explanation:
Simplify:
First open the brackets by multiplying each term by 7.
5x - 6 + 7(7x + 6) = 5x - 6 + 7*7x + 7*6
= 5x - 6 + 49x + 42
= 5x + 49x - 6 + 42
Combine like terms. Like terms have same variable with same power. Here 5x and 49x are like terms & (-6) and 42 are like terms (Constants)
= 54x + 36
Answer:
54x +36
Step-by-step explanation:
5x - 6 + 7(7x+6) multiply
5x -6 +49x+42 add like terms
54x + 36 that's the answer
A circle has a circumference of 7{,}8507,8507, comma, 850 units. What is the radius of the circle?
Use 3. 14 for pi and enter your answer as a decimal
2. solve the equation p2 4p = 1 by completing the square. show your work.
The value of 'p' obtained by completing the square is √5 - 2.
Define the term completing square?Completing the square is the process of engineering the quadratic equation to produce a perfect square by adding and subtracting both from sides.The given equation in the question is-
p² + 4p = 1
4 divided by half is 2, but 2 squared is 4, therefore
p² + 4p + 4 = 1 + 4
Putting that part of "b" between parenthesis is the simplest method to describe it at this point.
(p + 2)² = 5
The result of multiplying (p + 2)(p + 2) is p² + 4p + 4.
A square root from both sides is now calculated.
p + 2 = √5
p = √5 - 2
Thus, the value of 'p' obtained by completing the square is √5 - 2.
To know more about the completing square, here
https://brainly.com/question/13981588
#SPJ4
The correct question is-
Solve the equation p² + 4p = 1 by completing square.
Mai received a $70 gift card for a coffee store. she used it in buying some coffee that cost $8.69 per pound. after buying the coffee, she had $35.24 left on her card. How many pounds of coffee did she buy?
Answer:
4
Step-by-step explanation:
\( \frac{70 - 35.24}{8.69} \)
\( \frac{34.76}{8.69} \)
\( = 4\)
Brainliest pleaseDuring the summer, Cara read 3 books every 2
weeks. How many books did she read in 10 weeks?
Answer:
15
Step-by-step explanation:
you could do this as 3 * 10 (reading 3 books every week) = 30 then divide it by 2 which means she read 3 books every other week.
Hope this helped! :)
Answer: Cara has 15 books read in every 10 weeks
Step-by-step; if Cara reads 3 books every 2 weeks than u can do 10 divided by two which is 5 so then u do 5 times 3 books each week and that is 15 so Cara reads 15 books each week
MERRY X-MAS!!!!! HOPE THIS IS WHAT U WERE LOOKING FOR!!!
^_~
Can someone help out I’m confused.
Answer:
y=-2/5x-3
Step-by-step explanation:
the slope is m and the y intercept is b
George and Sarah were building a cone-shaped sand castle. after some time, the diameter of the sand shaped cone was 12 in. and the height was 14 in. what is the approximate volume of the sand cone rounded to the nearest hundreth? (show your work. remember you can draw a picture to help you solve the problem). label your answers with the correct units. use 3.14 to approximate pi answer:
they kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. what is the approximate volume of the sand cone now? label your answers with the correct units. (show your work) use 3.14 to approximate pi answer:
Answer:
why you delete my answer before question
Please help! i only have 4 more hours to get caught up!!
Answer:
I thinks it's y=3x+5
Step-by-step explanation:
try to use desmos to calculate it
Martha will be entering high school in a couple of years. Which steps should she take to ensure she has money to pay for college? Check all that apply.
Answer:
Save up money, get a job, be productive
A quadratic equation that has X-intercepts of (-2,0) and (8,0), a stretch of 3, and the vertex is a minimum.
a. Factored form equation:
b. Vertex form equation:
c. Standard form equation:
Answer:
a. y = 3 × (x + 2)(x - 8)
b. y = 3·(x - 3)² - 75
c) y = 3·x² - 18·x - 48
Step-by-step explanation:
The x-intercept of the quadratic equation are (-2, 0), (8, 0)
The stretch of the quadratic equation = 3
We have;
a. The factored form y = 3 × (x + 2)(x - 8)
b. From the vertex form, we have;
y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48
y = 3·x² - 18·x - 48
The vertex form a(x - h)² + k
Where;
h = -b/(2·a) = 18/6 = 3
h = 3
k = c - b²/(4·a) = -48 - (18²)/12 = -75
The vertex form 3·(x - 3)² - 75
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.