Answer: 3987.8cm³
Step-by-step explanation:
Volume of a cylinder = πr²h
where
π = 3.14
r = diameter / 2 = 10in/2 = 5inches
h = height = 20in
Volume = πr²h
= 3.14 × 5² × 20
= 3.14 × 25 × 20
= 1570inches³
Since 1 inch = 2.54cm
1570 inch = (1570 × 2.54) = 3987.8cm³
Therefore, the volume of the cylinder is
3987.8cm³ cubic centimeters.
please answer correctly
Help with these questions pls
The description of isometry and transformations is as follows,
isometry mean A distance-preserving transformation between metric spaces is known as isometry, congruence, or congruent transformation.
What is transformations?The transformation, or f, is a function that maps to itself: X X. Following the transformation, the pre-image X transforms into the image X. Any or all of the operations like translation, rotation, reflection, and dilation can be used in this transformation. A function is translated by moving it in a particular direction, rotated by spinning it about a point, reflection by reflecting the function, and dilation by scaling it.
Isometry: If two distinct points, a and b, were to be mapped to the same point, then the coincidence axiom of the metric d would be violated. This proof is similar to the proof that an order embedding exists between partially ordered sets. Clearly, a topological embedding exists for each and every isometry between metric spaces.
A bijective isometry is a global isometry, isometric isomorphism, or congruence mapping. A global isometry, like any other bijection, has a function inverse. A global isometry is also the inverse of a global isometry.
Types of transformations;
Transformation of Reflection: The term "reflection" refers to the kind of transformation that takes place when every point in the shape is reflected over a line. The image is on the opposite side of the line from the pre-image but at the same distance from the line when the points are reflected over it. An image point (q,p) is reflected from each point (p,q).
Transformation of Rotation: Rotation is the transformation that rotates each point of the shape by a predetermined number of degrees around that point. When the number of degrees is positive, the shape rotates counterclockwise, and when the number of degrees is negative, the shape rotates clockwise.
Transformation of Translation: Sliding occurs when a 2-d shape is translated. Let's look at how the vertices of the blue and red figures are positioned in relation to one another in order to describe their relative positions. By comparing its position to the positions of A, B, and C, we must determine their positions.
Hence the basic description of transformation is as follows.
Learn more about transformations;
https://brainly.com/question/11709244
#SPJ1
Is this a perfect square trinomial X² 14x 49?
x² + 14x + 49, this is a perfect square trinomial, which is expressed as
(x + 7)².
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Given that,
x² + 14x + 49
(x)² + 2(7x) + 49
= (x)² + 2(x)(7) + 7²
This is similar to a² + 2ab + b² = (a + b)²
so, we can write:
= (x + 7)²
= (x +7) (x + 7)
so, this is a perfect square trinomial.
To know more about trinomial refer to:
brainly.com/question/21832198
#SPJ4
Tina's favorite shade of teal is made with 777 milliliters of blue paint for every 555 milliliters of green paint. Tyler's favorite shade of teal is made with 555 milliliters of blue paint for every 777 milliliters of green paint. How does Tina's favorite shade of teal compare to Tyler's favorite shade of teal
Comparing the volume of the paints used and analyzing the proportions, The answer is Tina's shade is more blueish and Tyler's shade is more greenish.
What do you mean by ratio?A ratio is a way to compare two or more numbers or amounts. It tells you how much bigger or smaller one number is compared to the other. It is often written as two or more numbers separated by a colon, such as "3:5" or "2:4:6". For example, if a recipe calls for 2 cups of sugar to 4 cups of flour, the ratio would be 2:4. This means for every 2 cups of sugar, there are 4 cups of flour. It's a way to express a relationship between values or quantities and it helps to understand the proportion of one value to the other values.
What do you mean by proportions?Proportion is a relationship between two or more values or quantities that compares their sizes. It's a way of saying that two or more values are equal in some way. It can be written as an equation, such as "a/b = c/d", which means that the ratio of a to b is equal to the ratio of c to d. In other words, the proportion states that two or more ratios are equal to each other. For example, if a cake recipe calls for 2 cups of sugar to 4 cups of flour, the proportion would be 2/4 = 1/2. This means that for every 2 parts of sugar, there are 4 parts of flour, which can be written as a ratio 2:4 .
Tina's ratio of blue paint to green paint = 777:555
Tyler's favorite shade has a ratio = 555:777.
The ratio for Tina's shade is greater than 1 .
while the ratio for Tyler's shade is less than 1.
So Tina's shade is more blueish and Tyler's shade is more greenish.
To learn more about ratios visit:
https://brainly.com/question/13419413
#SPJ4
WILL MARK BRAINLEST
California's traffic People love living in California for many reasons , but traffic isn't one of them . Based on a random sample of 572 employed California adults, a 90 % confidence interval for average travel time to work for all employed California adults is 23 minutes to 26 minutes
(A) Interpret the confidence level
(B) Name two things you could do to reduce the margin of error. What drawbacks do these actions have?
(C) Describe how no responses might lead to bias in this survey.Does the stated margin of error account for this possible bias?
90% of all samples have a confidence interval that contains the right average travel time for all employed adults in California.
What is a confidence interval?Increased Sample Size: This provides more information about the population and allows us to calculate an accurate estimate. Data collection is expensive and time-consuming.
Decrease in Confidence Level: Confidence interval having correct population interval is less confident. It has fewer possible values for true population parameters. Hence, it is less confident about the confidence interval has the correct population parameters.
Non-Response Bias
Nonresponse bias happens when there isn't enough data for everyone in the sample. People whose data is unavailable lead to bias and over- or underestimate the true population. The margin of error is not used because it merely takes potential variation into consideration.
To know more about confidence intervals follow
https://brainly.com/question/1290441
#SPJ6
Please Answer ASAP!
Will give 85 points for answer!
Ms. Michaels surveyed her class on whether they preferred free time at the beginning of class or at the end of class. If the ratio of students who prefer free time at the beginning of class to students who prefer free time at the end of class is 13 over 17, what does the ratio 13 over 17 represent?
Answer:
Step-by-step explanation:
Based on the fact that Ms. Michaels surveyed her class on whether they preferred free time at the beginning of class or at the end of class and found that students who prefer free time at the end of class are 12 over 19, the thing which the ratio 12 over 19 represents is C. 12 students prefer free time at the beginning of class, and 19 students prefer free time at the end of class.
What is a Ratio?
This refers to the quantitative relation that is used to show the relation between two variables, which shows the number of times one is contained in the other.
Hence, it can be seen that based on the result of the survey by Ms. Michaels about the preference of the students about free time at the beginning of class or at the end of class, the meaning of the ratio is that 12 students prefer free time at the beginning of class, and 19 students prefer free time at the end of class.
Answer:
Step-by-step explanation:
the ratio 13 over 17 represents how many students preferred free time at the beginning of class to how many students preferred free time at the end of class.a little extra: more people want free time at the end of class than at the beginning
How do I solve for the measures of the the interior angles of a polygon
Answer:
use the formula (n-2)×180° where 'n' equals the number of sides the polygon has and this will be the total of all interior angles; if the polygon is 'regular' then you can find each angle measure by dividing total degrees by the number of sides
Step-by-step explanation:
You invest $300 at 4% interest, compounded every year. What will your balance be after 5 years? (Remember, the formula is A = P(1 + r)t. ) A. $365. 00 B. $350. 96 C. $364. 65 D. $382. 88
Therefore , the solution of the given problem of interest rate comes out to be the amount after 5 years is A ≈ 364.996.
Define interest rate.With the help of an interest rate, you can determine how much borrowing will cost you and how much saving will yield. As a result, the interest rate is the cost of borrowing money and, if you're a borrower, it's expressed as a percentage of the total loan amount. An amount, expressed as a percentage of the loan amount, that a borrower is required to pay to a lender as interest during the term of a loan.
Here,
Given : Principal amount : $300
rate of interest : 4%
and time =5 years
Thus , to find the amount after 5 years as compounded
We use , the formula:
=> A = P
=> A =
=> A =
=> A ≈ 364.996
Therefore , the solution of the given problem of percentage comes out to be the amount after 5 years is A ≈ 364.996.
To know more about interest rate , visit
brainly.com/question/29262495
#SPJ4
The amount after 5 years with compound interest rate is option(A) = $365. 00.
What is called interest rate?The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR (APR).
A savings account or certificate of deposit earnings at a bank or credit union may also be subject to an interest rate (CD). The interest received on these deposit accounts is measured in annual percentage yields (APY).
Given : Principal amount : $300
rate of interest : 4% (compounded yearly)
time =5 years
Thus , to find the amount after 5 years as compounded we use , the formula:
=> A = P(1 + r/100)^t.
=> A = $300 (1 +4/100)^5
=> A = $300 (104/100)^5
=> A = $300 (1.04)^5
=> A = $300 * 1.2167
=> A = $365.00
The amount after 5 years with compound interest rate is option(A) = $365. 00.
To learn more about interest rate visit:
brainly.com/question/29262495
#SPJ4
4. Of the 250 people who bought gas
this
weekend at a local station, 75% of them
paid with a debit card. How many people
paid with a debit card?
Answer:
187.5
Step-by-step explanation:
Multiply 250 by 75%
Move the decimal over to the left two times= .75
250×.75=187.5
What is a real solution set?
A solution set is the set of all variables or numbers that makes the equation true.
What is a real number solution set?If solving a linear equation leads to a true statement is equal to 0 = 0 the equation is an identity. Its solution set is all real numbers.A solution set is the set of values that satisfy a given set of equations or inequalities. The feasible region of a constrained optimization problem is the solution set of the constraints.
How many real solutions are possible?There are three possibilities for the number of real solutions of a quadratic equation, and those are that a quadratic equation can have no real solutions, exactly one real solution, or exactly two real solutions.Zero is considered to be both a real and an imaginary number.
Now we can find solution set by solving the equation.
To learn more about real solution set visit;
https://brainly.com/question/29052778
#SPJ4
Bruce has been offered a position selling bungee seat belts to sports car manufacturers. He was given a choice of receiving a monthly salary of $500 plus a bonus of 25% of his monthly sales or a $2,000 monthly salary with a 5% bonus on sales. How much would Bruce have to sell to make the same amount of money from each?
Answer:
$7500
Step-by-step explanation:
Let x = amount of monthly sales.
Choice A:
"monthly salary of $500 plus a bonus of 25% of his monthly sales"
monthly salary = 0.25x + 500
Choice B:
"$2,000 monthly salary with a 5% bonus on sales"
monthly salary = 0.05x + 2000
We set the total monthly salaries equal and solve for x.
0.25x + 500 = 0.05x + 2000
0.2x = 1500
x = 1500/0.2
x = 7500
Answer: $7500
Consider the directed line segment from M(−3, 1) to N(3, 4). Determine which of the following statements are true.
A
The point P(1, 3) partitions the segment in the ratio 2 to 1.
B
The point Q(−1, 2) partitions the segment in the ratio 1 to 2.
C
The point R(0, 2.5) partitions the segment in the ratio 1 to 2.
D
The point S(0, 2.5) partitions the segment in the ratio 1 to 1.
E
The point T(−1, 4.5) partitions the segment in the ratio 1 to 1.
Type ONLY your numeric answer. You do not need the degree symbol.
Answer: 54
Step-by-step explanation:
1) First, we need to find what 'x' is. We know that the exterior angles of a triangle equal to 360. So, we will add up all the expressions and set them equal to 360.
7x-2 + 9x-31 + 4x +33 = 360.
2) We will add all the like terms, which will give us: 20x + 0 = 360. We don't need to add the 0.
3) Now, we will isolate the 'x' by dividing 360 by 20 and we will get: x= 18.
4) To find the measure of angle DCE, we just have to substitute x in '7x-2' with 18, which then would equal to: 124.
5) Now, that we have the adjacent angle of DCE, we just have to subtract 124 from 180, and we will get the answer.
6) Angle DCE equals to 54.
Find the vertex, the axis of symmetry, and the y-intercept of the graph.
Answer:
Step-by-step explanation:
Vertex (a max) is at (-3, 2).
Axis of symmetry is the vertical line x = -3.
y-intercept is (0, -1)
You can read this info directly from the illustration.
Winston has a savings in a bank and was surprised that his money
accumulated to P 65. 000 after 3 years. He knew that the bank offered him 5%
interest rate compounded bimonthly. How much was his sayings at the start?
The initial saving of the Winston was $55952.48
Compound InterestCompound interest is when you receive interest on both your interest income and your savings.
According to the question given,
Let the initial savings amount be P
We know Compound interest =
[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]
Where,
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest is applied per year
t = number of time periods elapsed
Given,
A = $65000
t = 3 years
r = 5% = 0.05
n = 2 *12 = 24
So
65000 = P(1 + (0.05/24))^72
P = $55952.48
Therefore the initial savings was $55952.48
To know more about Compound Intrest on brainly : brainly.com/question/8557811
#SPJ4
Yolanda's Flower Shop sells long-stem roses for $5 each. In addition, the
shop charges a $15 shipping fee. How many roses can Santo purchase if he
plans to spend $90?
Answer:
15
Step-by-step explanation:
5x + 15 <= 90
5x<=75
x=15
Answer:
15 roses
Step-by-step explanation:
90 (Amount Santo wants to spend)
15 (Shipping fee)
You first subtract Shipping Fee from the total amount Santo wants to spend
90-15=75
Next it's time to figure out how many roses he can buy with the $75
Each roses is $5, so you divide the left over money after shipping by the price of the rose.
75÷5=15
As the number of sides of a regular polygon increases, the measure of the central angle _______.
A) increases
B) decreases
what is the area of the composite figure shown?
Answer:
under the figure 16in
Answers
Step-by-step explanation:
You add all of them
Solve the equation using the quadratic formula. X^2-9x+3=0
Answer:
The answer is x= [tex]\frac{9+\sqrt{69}}{2}[/tex], x= [tex]\frac{9-\sqrt{69}}{2}[/tex]
Step-by-step explanation:
x^2=a
-9x=b
3=c
Plug into formula.
Equation: [tex]\frac{9+-\sqrt{(-9)^2-4(1)(3)}}{2}[/tex]
Simplify the equation.
Equation: [tex]\frac{9+-\sqrt{81-12}}{2}[/tex]
Subtract 81 and 12.
Equation: [tex]\frac{9+-\sqrt{69}}{2}[/tex]
Spit into two equations
Equation 1: [tex]\frac{9+\sqrt{69}}{2}[/tex]
Equation 2: [tex]\frac{9-\sqrt{69}}{2}[/tex]
Hope this helps!
Write the equation of the given function in vertex- and standard form.
f(x)
-2
2+
N
X
-1
0
1
2
3
4
f(x)
-5
0
3
4
3
0
The standard form of the function is f(x) = -x² +4x, The vertex form isf(x) = -(x-2)² + 4
What is a function?
A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.
Given table is
x f(x)
-1 -5
0 0
1 3
2 4
3 3
4 0
Find the difference to find the degree of the given function
f(x) -5 0 3 4 3 0
1st difference 5 3 1 -1 -3
2nd difference -2 -2 -2 -2
The degree of the function is 2.
The general form of a second-degree function is
f(x) = ax²+bx+c
Putting x = 0 and f(0) =0 in f(x) = ax²+bx+c:
f(0) = a×0²+b×0+c
0 = c
Now putting x = 1 and f(1) =3 in f(x) = ax²+bx+c:
f(1) = a×1²+b×1+0 [since c=0]
3 = a + b ....(i)
Now putting x = 2 and f(2) =4 in f(x) = ax²+bx+c:
f(2) = a×2²+b×2+0 [since c=0]
4 = 4a + 2b ....(ii)
Solve equations (i) and (ii) by using the elimination method:
Multiply equation (i) by 2 and subtract it from (ii)
4a + 2b = 4
2a + 2b = 6
(-) (-) (-)
__________
2a = -2
a = -1
Putting a = -1 in equation (i):
-1 + b = 3
b = 3+1
b = 4
The function is f(x) = -x² +4x
Rewrite the given function in vertex form:
f(x) = -(x² - 4x +4-4)
f(x) = -(x-2)² + 4
To learn more about quadratic function, click on the below link:
https://brainly.com/question/28979054
#SPJ1
Please help! Due tomorrow!!!
Homework assignments are worth 12 points and tests are worth 100 points. A teacher records the homework averages and test averages for 10 students. Use a graphing calculator to find an equation of the line of best fit. Round each value in your equation to the nearest tenth.
Answer:
y=7.5x+6.2
Step-by-step explanation:
Hopefully this is the answer
Answer:
y=7.5x+6.2
Step-by-step explanation:
Hopefully this is the answer
find the surface area of the sphere r = 4 cm S.A =
Answer: 201.062
Step-by-step explanation: [tex]A_{s} =4\pi r^2[/tex]
ASAP
(only the answer pls)
Answer:
B..........................................
Calculate the slope of the following line:
m=
Answer:
m= -1/3
Step-by-step explanation:
slope is rise/run or change in y/change in x
i pick out point (9,0) to (6,1)
the increase in y of this triangle is 1 and increase in x is 3
note that this line will have a negative slope as it goes downwards from left to right instead of upwards
hence m= rise/run= -1/3
Help please! Thank you
Answer:
the answer is z^2-9. Using the box method line up equation. Then multiple numbers outside of the box and put numbers inside. Lastly combine like terms.
x^2=Σ(o-e)^2/e
17. A candidate for mayor is discussing the crime rate in the city. She asks the police department to provide some statistics on how many people out of a group of 500
people were victims of four specific crimes. She expects that she can verify this information by doing her own survey. She then asks a group of 500 people to identify
whether they were victims of the same crimes. Her results are the observed quantities, and the police data are the expected quantities. The following is a table of the
results.
Category: observed/ expected
Robbery
24/18
Assault
15/21
Discrimination
79/56
Theft
124/138
Calculate the chi-square value for her survey. Remember, to calculate the chi-square value, use the formula shown.
A. 12.68
B. 8.56
C. 8.15
D. 14.58
On solving the provided question we cans ay that - the value of the following exponent is
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
here,
= [tex]10^2 X 10^-3[/tex] X 32
= 100 X 1/1000 X 32
=1/10 X 32
=3.2
To know more about exponents visit:
brainly.com/question/3987569
#SPJ1
???????????????????????????
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 6) and (x₂, y₂ ) = (- 1, 8) ← 2 ordered pairs from the table
m = [tex]\frac{8-6}{-1-1}[/tex] = [tex]\frac{2}{-2}[/tex] = - 1 , then
y = - x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (1, 6 ) , then
6 = - 1 + c ⇒ c = 6 + 1 = 7
y = - x + 7 → B
Given that there are 4 quarts, 8 pints, or 16 cups in 1 gallon, which of the following amounts is greater than 2 gallons? Select all that apply.
A) 5 quarts, 2 pints
B) 1 gallon, 3 quarts
C) 9 quarts
D) 40 cups
E) 1 gallon, 9 pints
Answer:
C, D, E
Step-by-step explanation:
Given: AAED ≈ ABEC and
AC BD.
Prove: AABD≈ ABAC.
Note: quadrilateral properties are not permitted in this
proof.
The solving in the below shows similarity in triangles ΔAED ≈ΔBEC By SSS criteria.
What are the four traits of triangles that are similar?The sizes of similar triangles vary while having the same shape. The comparable angles in identical triangles are equal. The ratio of the corresponding sides of comparable triangles is the same. The ratio of any pair of corresponding sides' squares to any similar triangle's area is the same.
According to given information:Two triangles are comparable if they fall under one of the headings below: Angles in two comparable pairs are equal. Three pairs of corresponding sides make up the ratio. The comparable angles amongst two pairs of adjacent sides are proportional and equal.
Given that ΔAED ≈ΔBEC & AC = BD.
as ΔAED ≈ΔBEC, AD = BC .................(1)
Now in ΔABD and ΔBAC,
AD = BC
(corresponding sides of similar triangles) [from (1)]
AB = AB
(common side)
AC = BD
(given)
∴ ΔABD ≈ΔBAC (By SSS criteria)
To know more about similarity in triangles, visit:
brainly.com/question/14285697
#SPJ1
Please answer!!! I’m stuck on it and need help fast <3