Answer:
1272.345 \(in^{3}\)
Step-by-step explanation:
The volume of Cone:\(\pi r^{2} \frac{h}{3}\),Using this formula we obtain the equation:
\(\pi r^{2} \frac{h1-h2}{3}\)
Where h1 is the height of a bigger cone = 10+15 in = 25 in
and h2 is the height of the cone removed = 10 in
so all in all the equation looks like
with r= 18/2 = 9 in
\(\pi *9^{2}*\frac{25-10}{3}\)
To learn more about how to find the volume of cone, refer:
https://brainly.com/question/1082469
#SPJ2
Can you make a triangle with lengths 10,7,15
Answer:
yes
Step-by-step explanation:
Answer:
The formation of ∆ is possible .
Step-by-step explanation:
Three sides of triangle are given which are 10 , 7 & 15. And we need to determine whetherwecanmake a triangle with these three sides or not . So we know that ,
" Sum of any two sides of a triangle is Greater
than the third side "
Let ,
a = 10b = 7c = 15Here we will see by three cases. And the formation of triangle will be possible if and only of all the three cases are possible.
So , let's check ,
Case 1:-
→ a + b > c
→ 10 + 7 > 15
→ 17 > 15
Case 2:-
→ b + c > a
→ 7 + 15 > 10
→ 22 > 10
Case 3 :-
→ a + c > b
→ 10 + 15 > 7
→ 25 > 7
Since all the three cases are true Hence formation of ∆ is possible.
Hence the formation of triangle is possible .Triangle ABC is rotated 180º using the origin as the center of rotation.
On a coordinate plane, triangle A B C has points (negative 4, negative 3), (negative 5, negative 2), (negative 3, negative 2). Triangle A prime B prime C prime has points (4, 3), (5, 2), (3, 2).
Which sequence of transformations will produce the same result?
a
a reflection over the x-axis and then a reflection over the y-axis
b
a translation up 4 and then a translation right 6
c
a translation up 4 and then a reflection over the y-axis
d
a translation right 6 and then a reflection over the x-axis
Answer:
a. a reflection over the x-axis and then a reflection over the y-axis
Step-by-step explanation:
If you plot it on a graph (you can use Desmos), you can see the triangles and only a. a reflection over the x-axis and then a reflection over the y-axis makes sense.
Answer:
thats c
Step-by-step explanation:
1. Each month, Billy earns $2000 for working the night shift at Amazon, before taxes and
retirement are taken out. If 8% of his paycheck goes to income taxes, and 10%
automatically goes into retirement, what is Billy's net pay each month?
The net pay of Billy after 8% taxes and 10% retirement policy is $1600.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, From Billy's salary of $2000 8% of his paycheck goes to income taxes, and 10% automatically goes into retirement.
So, To obtain a net salary of Billy we'll subtract the percentage amount of 8% and 10% from the base of $2000.
Therefore, Net pay of Billy is {2000 - (8/100)×2000 - (10/100)×2000}.
= {2000 - 160 - 200}.
= (2000 - 360).
= $1640
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ1
Factor 48-6 using GCF
Answer:
I think the answer is six i just searched it or it could be 12
Step-by-step explanation:
The greatest common factor (GCF) of 48 and 6 is 6, so:
48 - 6 = 42.
this isn't college level *laugh*
A quantity starts with a size of 500 and grows by 60% per year.
Construct a function A(T) that models the growth of the quantity:
A(T)=
I put A(T)=500e^.60t but got it wrong
Write an expression for the size of the quantity after 20 years. Leave your answer in exponential form; do not give a decimal approximation.
The Size will be _____?
i put 81377395 but got it wrong
An expression for the size of the quantity after 20 years:
f(t) = 259e^(0.2167t)
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
The function A(t) that models the growth of the quantity is:
A(t) = 650 x e^(0.6t)
where t is the time in years.
To convert the equation f(t) = 259(1.24)^t to the form f(t) = ae^(kt),
we need to use the formula:
a = f(0) and k = ln(r),
where r is the growth rate.
a = f(0) = 259(1.24)^0 = 259
k = ln(r) = ln(1.24) ≈ 0.2167
Therefore, the equation f(t) in the form f(t) = ae^(kt) is:
f(t) = 259e^(0.2167t)
To know more about Expressions check:
brainly.com/question/16804733
#SPJ1
There were 13 students running in a race. How many different arrangements of first,
second, and third place are possible?
Answer: 13P3= 1716
Step-by-step explanation:
A box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. What is the probability of picking a green marble?
Answer:
0.25
Step-by-step explanation:
The total number of marbles is 2 + 2 + 3+ 5 = 12
the number of green ones is 3
So the probability of green = 3/12 = 1/4 = 0.25
Answer:
Red
Step-by-step explanation:
Because it was most pick the first time
please help thank you..
Exercise 1.7.1.
1. In a class of 32 students, 11 study Physics, 16 study Biology, 14 study Chemistry but
4 do not study of these subjects, 5 study Physics and Biology,4 study Physics and
Chemistry, 7 study Biology and chemistry while 6 study chemistry only. Using n to
represent the number of students who study all three subjects.
(a) Illustrate this information on a Venn diagram
(6) Write an equation in terms of n.
(c) By solving your equation in (6), find the number of students who study:
(i) all three subjects
(ii) Physics or Chemistry but not Biology
thiz language is french
two lines are graphed on the same coordinate plane. the lines only intersect at the point (4,2). Which one of these systems of linear equations could represent the two lines select all that apply
If the two lines intersect at the point(4, 2), it means that x = 4 and y = 2
We would substitute these values in the equations. The correct options would be selected.
A is not correct because y is not equal to 4
B) 2 is not equal to 4 + 2. Thus, B is not correct
C) 2 = 4 - 2 = 2
4 = 2 + 2 = 5. Thus, C is correct
D) 2 * 4 + 4 * 2 = 8 + 8 = 16
4 + 2 = 6
D is correct
E is also correct
The correct options are C, D and E
Given the vertices, determine the quadrilateral's most specific classification.
A(5, -3) B(7, 1) C(9, -3) D(-7, 7)
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
Learn more about functions at: https://brainly.com/question/11624077
#SPJ1
Paola wrote the following equation for the perimeter of a rectangle p =2(l+w)
Which equation is equivalent to the equation Paolo wrote?
A. W=P-2l
B. W=P-I
C. W=P-2I/2
D. W=P+2l/2
Answer:
C. W = (P-2I)/2
Step-by-step explanation:
The given equation can be solved for W this way.
P = 2l +2W . . . . eliminate parentheses
P -2l = 2W . . . . subtract 2l
(P -2l)/2 = W . . . divide by 2
The appropriate choice is ...
W = (P -2l)/2
_____
Please note that parentheses are required in plain text. In typeset form, the fraction bar acts as a grouping symbol.
\(W=\dfrac{P-2l}{2}\)
A baseball bat is approximately
work out the some of the interior angles of a pentagon
"Although part of your question is missing, you might be referring to this full question: Work out the sum of the interior angles of a pentagon".
A pentagon is a polygon with five sides. We can use a formula to get the pentagon's interior angle total. According to the formula, (n-2) x 180 degrees can be used to calculate the total of any polygon's internal angles. This formula can be changed to n=5 for a pentagon, giving us (5-2) x 180 degrees = 540 degrees. Consequently, a pentagon's internal angles add up to 540 degrees.
The sum of the interior angles of a pentagon can also be computed by dividing it by the number of sides, and the result can then be subtracted from 180 degrees to determine each inner angle. So, a pentagon's internal angles are each (540/5)-180 degrees, or 108 degrees.
In conclusion, a pentagon's interior angles add up to 540 degrees, and each interior angle is 108 degrees. In order to solve mathematical problems involving polygons, it can be helpful to comprehend the formulas used to calculate these numbers.
To learn more about Polygons:
https://brainly.com/question/28420839
Chelsea is reading a 250-page book that is divided into five chapters.
Number of Pages per Chapters what is the present of the books pages in chapter 4
Answer:
28%
Step-by-step explanation:
The bar graph shows that chapter four has 70 pages. In order to find percentage, multiply or divide the denominator until 100
70/250
÷ 10
7/25
x4
28/100
28%
Chapter 4 contains 28% of the book's pages
(Z+1)^7 + (Z+1)^7 = 0
it’s complex numbers
Therefore, the solution to the equation \((z + 1)^7 + (z + 1)^7 = 0\) in the complex number system is z = -1.
To solve the equation\((z + 1)^7 + (z + 1)^7 = 0\) in the complex number system, we can simplify the equation and then find the values of z that satisfy it.
Let's start by simplifying the equation:
\((z + 1)^7 + (z + 1)^7 = 0\)
We notice that both terms on the left side of the equation are identical, so we can rewrite it as:
2(z + 1)^7 = 0
Now, we can divide both sides of the equation by 2 to isolate the term\((z + 1)^7:\)
\((z + 1)^7 = 0\)
To find the solutions, we set each factor of \((z + 1)^7\)equal to zero. In other words, we set the exponent 7 to be a multiple of 2:
z + 1 = 0
From this equation, we find that z = -1.
It's important to note that complex numbers have a real and imaginary part.
In this case, since the equation simplifies to a real number, the solution is a real number (-1).
If the equation involved complex terms or the roots of unity, the solutions could include complex numbers as well.
For similar question on complex number system.
https://brainly.com/question/30593239
#SPJ8
Top
Which of the numbers given are rational?
Select all that apply:
√3300
2.6228
4.137183
√9
9.327925...
From the given numbers, 2.6628, 4.17183 and √9 are the rational numbers.
Rational numbers are the numbers that are in the form of p/q where q is not equal to zero that is q≠0. Rational numbers can be expressed as a fraction where both numerators and denominator are whole. When these fractions are further divided, the result will be in decimal form, which may be either terminating decimal or the repeating decimal
Irrational numbers are numbers that cannot be written as simple fractions but can be written in decimal form. It has endless non-terminating digits after the decimal point.
Now according to the question ,
i) √3300 = 57.4456…. as it has endless non-terminating digits after the decimal point. It is an irrational number.
ii) 2.6628 is a rational number as it has a terminating decimal.
iii) 4.137183 is also a rational number as it has terminating decimal.
iv) √9 = 3 is a rational number as it is a perfect square and can be written as fraction.
v) 9.327925…. is a irrational as it has endless non-terminating digits after the decimal point.
Hence 2.6628, 4.17183 and √9 are the rational numbers.
Learn more about rational numbers here : https://brainly.com/question/43641
#SPJ9
elected at
pants?
D. 음
is divided
oun once,
will land
5.
To order a burrito from Teresa's Burrito Shop, Jim
always chooses 1 item from each column in the
table below.
Burrito Choices
Topping
beans sour cream
guacamole
Wrap Filling
plain
wheat beef
chicken
What is the total number of ways that Jim can
order a burrito at Teresa's Burrito Shop by
choosing 1 wrap, 1 filling, and 1 topping?
A. 6 B. 7 C. 10 D. 12
Answer: d.12
Step-by-step explanation:
whats 10 x 34? please tell me
Answer:
340=10*340 calculated
Answer:
340
Step-by-step explanation:
i know math alot
What is the slope of the line that passes through (-1,-5) and (3,-3)
Answer:
1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - (-5) / 3 - (-1)
2/4
= 1/2
Hey there!
Answer :\( \displaystyle \red {\boxed{ \blue {\bold{ m = \frac{1}{2} }}}}\)
Explanation :The slope, m, of a line that passes through two points with coordinates for \( \displaystyle (x_1 , x_2) \text{\:and\:} (x_2 , y_2) \) is given by the slope formula :
\( \displaystyle \: m = \frac{ \red{y_2} - \green{y_1}}{ \orange{x_2}- \blue{x_1} } \)
▪️We are given the points (-1 , -5) and (3 , -3) where :
\( \displaystyle \blue{x_1} = -1 \)\( \displaystyle \green{y_1} = -5 \)\( \displaystyle \orange{x_2} = 3 \)\( \displaystyle \red{y_2} = -3 \)Now, we have :
\( \displaystyle \: \implies m = \frac{ \red{ - 3} - \green{ (- 5)} }{ \orange{3} - \blue{( - 1)}} \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \: m = \frac{ - 3 + 5}{3 + 1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies{m = \frac{2}{4} } = \red{ \bold{ \frac{1}{2} }} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
Therefore, our answer is \( \displaystyle m = \frac{1}{2} \)
▪️Learn more about finding the slope from two points :
↣https://brainly.com/question/21478821
find the future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly. (round your answer to the nearest cent.) $
The Future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly is $10263.734 ..
The future value of an annuity is the value of a group of regular payments at some point in the future. It assumes a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.
P = PMT× ((1+r)ⁿ −1)/r
where:
P---> Future value of an annuity stream
PMT---->Dollar amount of each annuity payment
r -->Interest rate (also known as discount rate)
n--->Number of periods in which payments will be
We have given that
Present value for an Annuity = $200
compounded rate , r = 13%
but compounded quarterly, then, r = 13%/4
= 0.13/4 = 0.325
Number of years , n = 2 + 1/2 = 5/2
then change into quarterly, n = 5/2 × 4 = 10
Future value formula ,
F.V = PMT ( (1+i)ⁿ - 1)/r
=> Future value = 200((1+0.325)^10/0.325)
=> F.V = 10263.734
Hence, the future value of an annuity is $10263.734..
To learn more about Future value, refer:
https://brainly.com/question/20813161
#SPJ4
Period
Readiness TEKS 9.C, 9.D
6. Omar takes out a college loan for $28,000 to cover his
expenses for tuition, books, room, and housing. According to the
terms of the loan, he won't have to make payments for six years,
but the loan will continue to compound interest annually at 11%.
The table below shows the amount of the loan he owes assuming
he make no payments during the six years.
Number of Years
1
2
3
4
5
6
Loan Amount Owed
$28,000.00
$31,080.00
$34,498.80
$38,293.67
$42,505.97
$47,181.63
$52,373.61
Which function represents the amount of the loan owed in relation
to the number of years, x?
A. f(x) = 28,000(1.11)*
B. f(x) = 28,000(0.11)
C. f(x) = 28,000(11)*
D. f(x) = 28,000 + 1.11%
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
Which form of a quadratic would be the easiest to identify the y-intercept?
A. Vertex Form
B. Standard Form
C. Intercept Form
ads
B. Emily will average 4,240 copies amonth if she has 480 copiesremaining at the end of the year.Emily will have 4,240 copiesremaining at the end of the yearif she averages 480 copies eachmonth.8. The function g(x) = 21,900(0.91)* models the value of a car x years after2010. What is the approximate percent decrease in the value of the carbetween 2010 and 2015?A 9%C. 45%D. 62%B. 38%
Given:
The given function is
\(g(x)=21,900(0.91)^x\)g(x) is the value of a car x years after 2010.
Required:
We need to find the approximate per cent decrease in the value of the car
between 2010 and 2015.
Explanation:
Substitute x=0 in the given equation to find the value of the car in 2010.
\(g(0)=21,900(0.91)^0\)\(g(0)=21,900\)Substitute x=5 in the given equation to find the value of the car in 2015.
\(g(5)=21,900(0.91)^5\)\(g(5)=13666.3\)The approximate per cent decrease in the value of the car
between 2010 and 2015.
\(\frac{g(0)}{g(5)}\times100=\frac{13666.3}{21900}\times100\)\(\frac{g(0)}{g(5)}\times100=62\text{ \%}\)Final answer:
The approximate per cent decrease in the value of the car
between 2010 and 2015 is 62 %.
9р - Зр equivalent expression
Answer:
6p
Step-by-step explanation:
9p - 3p needs to have the like terms combined. 9 - 3 is 6, and since you have to keep the p, the answer is 6p.
yuri completed a race in 0.88 fewer seconds than Josie. Josie's time was 23.95 seconds. How l9ng did it takes Yuri to complete the race?
CAN SOMEONE PLEASE HELP me with the correct answer!!!!! I need this done please help like please
Please help, it shouldent take too much time
The sum of angles in a triangle is always 180 degrees. Therefore, the angle C measures 60 degrees.
In triangle ABC, we know that angle A measures 75 degrees, and angle B measures 45 degrees.
To find the measure of angle C, we can use the fact that the sum of the angles in a triangle is 180 degrees:
Angle A + Angle B + Angle C = 180
Substituting the values we know:
75 + 45 + Angle C = 180
Simplifying:
120 + Angle C = 180
Subtracting 120 from both sides:
Angle C = 60
Therefore, angle C measures 60 degrees.
To learn more about sum of angles please click on below link.
https://brainly.com/question/21404821
#SPJ1