Answers
volume of cone
= ⅓πr²h
= ⅓ × 3.14 × 9 × 9 × 12
= 3.14 × 3 × 108
= 3.14 × 324
= 1017.36 cm³
Related Questions
how many 2/5s are in 1 and 1/2
Answers
Answer:
4
Step-by-step explanation:
How many 2/5s are in 1 1/2? To make it easier and simpler , I would change these fractions into decimals . Our answer is there are ALMOST 4 of 2/5ths in 1 and a half .
Which equation describes a circle with center (4,−7) and radius 9? A (x−4)2+(y+7)2=81 B (x+4)2+(y−7)2=81 C (x−4)2+(y+7)2=9 D (x+4)2+(y−7)2=9
Answers
Answer:
A. (x - 4)² + (y + 7)² = 81
Step-by-step explanation:
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 ......equation 1.
Where the center is C(-h, -k)
Also, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² ......equation 2.
Where;
h and k represents the coordinates of the centre. r represents the radius of the circle.Given the following data;
h = 4
k = -7
r = 9
Substituting into eqn 2, we have;
(x - 4)² + (y - {-7})² = 9²
Simplifying further, we have;
(x - 4)² + (y + 7)² = 81
Help
Write an equation and solve: A plumber charges a $65 fee for a visit plus $42 per hour of service. Trevor's bill was $233. Write and solve an equation to find how many hours of service the plumber charged?
Answers
Answer:
x=per hour
233=42x+65
Step-by-step explanation:
1.) The acceleration of a particle moving along the x-axis at time t is given by a(t) = 6t-2. If the position is 10 when
t= 1, then which of the following could be the function for position x(t) = ?
Answers
The function for position x(t) could be x(t) = 3t^2 - 2t + 10.
What is function?In mathematics, a function is a relation between two sets that assigns to each element of the first set exactly one element of the second set. In other words, it is a rule that describes how one set of values is related to another set of values. Functions are used to model real-world scenarios and to solve mathematical problems. Examples of functions include linear equations, polynomials, and trigonometric functions.
This is determined by using the equation x'(t) = a(t). Differentiating both sides of the equation, we get x'(t) = 6t - 2. Integrating this equation, we get x(t) = 3t^2 - 2t + C, where C is the constant of integration. Since x(1) = 10, we can substitute this value into the equation and solve for the constant of integration. Therefore, we get x(t) = 3t^2 - 2t + 10.
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Distributive property Explained 4(x+3)=4x+12
Answers
Answer:
Step-by-step explanation:
4(x+3)=4x+12
4x+12=4x+12
SOMEOINE HELP!!!
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station. The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task. (1, 2), (2, 4), (3, 8), (4, 16) Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points) Part B: Write a function to represent the data. Show your work. (4 points) Part C: Determine the average rate of change between station 2 and station 4. Show your work. (4 points)
Answers
Answer:
Part A:
This data is modeling an exponential function because the y-values are increasing at an increasing rate. For example, between station 1 and station 2, the time increased by 2 minutes, and between station 2 and station 3, the time increased by 4 minutes. The time between each station is increasing by a multiple of the time between the previous two stations. This indicates that the data follows an exponential curve.
Part B:
To represent this data as a function, we can use the formula y = ab^x, where a and b are constants and x is the input (station number).
Substituting in the values from the first data point, we get: 2 = ab^1
Substituting in the values from the second data point, we get: 4 = ab^2
We can then solve for a and b by dividing these equations:
4/2 = (ab^2)/(ab^1)
2 = b
Substituting this value back into the first equation, we get:
2 = a*2^1
1 = a
Therefore, the function that represents this data is y = 2^x.
Part C:
To find the average rate of change between station 2 and station 4, we can use the formula: (y2 - y1)/(x2 - x1).
Substituting in the values from the data, we get: (16 - 4)/(4 - 2) = 12/2 = 6.
Therefore, the average rate of change between station 2 and station 4 is 6.
Find the sum of the first 12 terms of the geometric series
2 + 4 + 8 +...
Answers
In the geometric series 2, 4, 6, 8, 10, 12,..., 24 is the 12th term. Each number in this series is separated by a factor of two.
How can the sum of the initial terms in a geometric series be determined?the total of a geometric sequence's terms. Sn=a1(1rn)1r, r1 denotes the sum of the first n terms in a geometric series. an infinite geometric series whose total is provided by the expression S=a11r and where |r|1.
What is a geometric series term?A geometric sequence is a set of numbers that follows a pattern in which the next term is determined by multiplying the previous one by a factor known as the common ratio, r.
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Edgar accumulated $3,000 in credit card debt. If the interest rate is 50% per year and he does not make any payments for
3 years, how much will he owe on this debt in 3 years by compounding continuously?
Provide your answer below:
Answers
Answer:
$7,459.12
Step-by-step explanation:
The formula for continuous compounding is
A = Pe^(rt), where P is the original amount, A is the accumulated amount, r is the interest rate as a decimal fraction, and t is the number of years. We want to know how much he will owe on this original $5,000 credit card debt after 2 years.
A = $5,000e^(0.20*2)
= $7,459.12
Step-by-step explanation:
The formula for continuous compounding is
A = Pe^(rt), where P is the original amount, A is the accumulated amount, r is the interest rate as a decimal fraction, and t is the number of years. We want to know how much he will owe on this original $5,000 credit card debt after 2 years.
A = $5,000e^(0.20*2)
= $7,459.12
Instructions: Find the missing segment in the image below.
Help please
Answers
Answer:
9
Step-by-step explanation:
It’s a ratio.
5/30=x/54
reduce
1/6=x/54
cross multiply
54=6x
x=9
Last year, Jane spent $1,968 for natural gas. This year, she decided to use balance billing. What will her monthly
payment be this year?
A.$164 per month
B.$174 per month
C.$184 per month
Answers
Answer:
e a b $ 174 par month
Step-by-step explanation:
ar the
Jane's monthly payment this year using balance billing would be $164 per month.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
To determine Jane's monthly payment this year using balance billing, we need to divide the total amount she spent last year ($1,968) by the number of months in a year.
Total amount spent last year = $1,968
Number of months in a year = 12
So, Monthly payment = Total amount spent last year / Number of months in a year
Monthly payment = $1,968 / 12
Monthly payment ≈ $164
Therefore, Jane's monthly payment this year using balance billing would be $164 per month.
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(2h3 + 6h) + (3h3 - 7h - 3) standard form sum or difference.
Answers
Answer:
[tex]5h^3- h - 3[/tex]
Step-by-step explanation:
Given
[tex](2h^3 + 6h) + (3h^3 - 7h - 3)[/tex]
Required
Standard form
We have:
[tex](2h^3 + 6h) + (3h^3 - 7h - 3)[/tex]
Remove bracket
[tex](2h^3 + 6h) + (3h^3 - 7h - 3) =2h^3 + 6h + 3h^3 - 7h - 3[/tex]
Collect like terms
[tex](2h^3 + 6h) + (3h^3 - 7h - 3) =2h^3 + 3h^3+ 6h - 7h - 3[/tex]
[tex](2h^3 + 6h) + (3h^3 - 7h - 3) = 5h^3- h - 3[/tex]
Hence, the standard form is:
[tex]5h^3- h - 3[/tex]
Rosa goes to a restaurant and orders a meal that code $9. She wants to leave a 20% tip for the server. What is the total cost of Rosa meal?
Answers
Answer:
$10.80
Step-by-step explanation:
9 times 0.20 equals 1.80
9 + 1.80 = $10.80
It takes Luke 2 h longer than it does Anna to clean a bathroom. If t represents the amount of time (in h) it takes for Luke to clean a bathroom, write an expression that represents the time (in h) it takes Anna to clean the bathroom.
Answers
paint the same room, working together they could paint the room even quicker, it
turns out they would paint the room in 3 hours together. This can be reasoned by
the following logic, if the first person paints the room in 4 hours, she paints 14 of
the room each hour. If the second person takes 12 hours to paint the room, he
paints 1 of the room each hour. So together, each hour they paint 1 + 1 of the 12 4 12
room. Using a common denominator of 12 gives: 3 + 1 = 4 = 1. This means 12 12 12 3
each hour, working together they complete 13 of the room. If 13 is completed each hour, it follows that it will take 3 hours to complete the entire room.
This pattern is used to solve teamwork problems. If the first person does a job in A, a second person does a job in B, and together they can do a job in T (total). We can use the team work equation.
Teamwork Equation: A1 + B1 = T1
Often these problems will involve fractions. Rather than thinking of the first frac-
tion as A1 , it may be better to think of it as the reciprocal of A’s time.
World View Note: When the Egyptians, who were the first to work with frac- tions, wrote fractions, they were all unit fractions (numerator of one). They only used these type of fractions for about 2000 years! Some believe that this cumber- some style of using fractions was used for so long out of tradition, others believe the Egyptians had a way of thinking about and working with fractions that has been completely lost in history.
Is 1 1/3 an irrational number?
Answers
One pair of base angles of an isosceles trapezoid each have a measure of 2(x–10)°. The other pair of base angles of the trapezoid each have a measure of (4x+8)°. What is the value of x?
Answers
Answer:
x = 32
Step-by-step explanation:
• any lower base angle is supplementary to any upper base angle.
here base angle = 2(x - 10) and upper base angle = 4x + 8
supplementary angles sum to 180°
sum the base and upper base angles and equate to 180
2(x - 10) + 4x + 8 = 180
2x - 20 + 4x + 8 = 180
6x - 12 = 180 ( add 12 to both sides )
6x = 192 ( divide both sides by 6 )
x = 32
For polynomial function f, if f(3)=5 and f(5)=-2, what do we know about any roots of f(x)?
Answers
Answer:
There is a root between x=3 and x=5.
Step-by-step explanation:
Not entirely sure what this question wants, but from this you can tell that the function crossed the x-axis in the interval (3, 5). When x is 3, y is 5, and then when x is 5, y is -2.
Given ADEF, if DE = 50 inches and EF = 19
inches, what is m D to the nearest tenth
of a degree?
E
D
F
A. 16.1
B. 18.5
C. 20.7
D. 22.3
Answers
Answer:
22.3
Step-by-step explanation:
From trigonometry :
The angle D can be obtained thus ;
Sin D = opposite / hypotenus
Sin D = 19 / 50
Sin D = 0.38
D = Sin^-1(0.38)
D = 22.33
Pre
An outdoor art display is a metal cube with edge length 66 feet. What is the volume of the cube in
cubic feet?
Answers
to find the volume of an object, do l x w x h. since this is a cube all sides are the same so you would do 66 x 66 x 66
Christina paid $2 for 5/8 of a gallon of gas.How much does it cost per gallon
Answers
Answer:
$3.20
Step-by-step explanation:
I divided the $2 by 8 to see how much 1/8 a gallon cost.
I got 0.40
Multiple this by 8 to get 8/8 or 1 gallon.
You get 3.2
so $3.20
Hope this helped. :)
M=
Please help, NO LINKS PLEASE
Answers
Answer:
120°
Step-by-step explanation:
I drew a picture that will make it easier to understand what's going on. Please see the attached image
In a rhombus, the diagonals bisect the opposite angles, and opposite angles are congruent.
Let's say angle 1 is x. The interior angles of a quadrilateral add up to 360°, so
30+30+30+30+2x=360
2x=240
x=120
angle 1 is 120°.
To serve 1 person at a local restaurant it takes 10 minutes. To serve 5 people it takes 18 minutes. Using the points (1, 10) and (5, 18), find the slope between the two points. The formula for slope is m =y2 - y1/x2 - x1
(a) m=2
(b) m= -2
(c) m= -5
Answers
9514 1404 393
Answer:
(a) m = 2
Step-by-step explanation:
The formula tells you the slope is ...
m = (18 -10)/(5 -1) = 8/4
m = 2
Can anyone please help? I will give Brainly. The answer is not...40,000 x 0.055 :((
Answers
9514 1404 393
Answer:
$1800
Step-by-step explanation:
The tax due is ...
3% × $10,000 + 5% × ($40,000 -10,000)
= 5% × $40,000 - (5% -3%)($10,000)
= $2000 - 200
= $1800 . . . . tax due
_____
Additional comment
The table is structured so you need to compute the amount due in each bracket and add those to find the total due.
I prefer to compute the tax due by applying the appropriate tax rate to the whole amount, then subtracting a "discount" that reflects the fact that the rate doesn't actually apply to the whole amount.
MODELING REAL LIFE When the average price of an item increases from $p_1$ to $p_2$ over a period of $n$ years, the annual rate of inflation $r$ (in decimal form) is given by $r=\left(\frac{p_2}{p_1}\right)^{1/n}-1$
. Find the rate of inflation for each item in the table.
Per pound Per pound
2009 2019
Potatoes $0.620 $0.749
Oranges $0.910 $1.280
Ground beef $2.251 $3.775
Potatoes:
, or %
Oranges:
, or %
Ground beef:
, or %
Answers
The rate of inflation of potatoes is 0.019.
The rate of inflation of Oranges is 0.019.
The rate of inflation of Ground beef is 0.019.
What is Rate of Inflation?Inflation is an increase in the level of prices of the goods and services that households buy. It is measured as the rate of change of those prices.
Given:
Here, the annual rate of inflation r (in decimal form) is given by
r = [tex](p_2/ p_1)^{1/n[/tex] - 1
Now, The average price of a potatoes increased from $0.620 in 2009 to $0.749 in 2019.
Thus, The required rate of inflation,
r = [tex](0.749/ 0.620)^{1/10[/tex] - 1
r = 1.019 - 1
r = 0.019
Now, The average price of a Oranges increased from $0.910 in 2009 to $1.280 in 2019.
Thus, The required rate of inflation,
r = [tex](1.280/ 0.910)^{1/10[/tex] - 1
r = 1.034 - 1
r = 0.034
Now, The average price of a Ground beef increased from $2.251 in 2009 to $3.375 in 2019.
Thus, The required rate of inflation,
r = [tex](3.775/ 2.251)^{1/10[/tex] - 1
r = 1.0321 - 1
r = 0.0321
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(1/a)^3 Help simplify please
Answers
Answer:
1/a³
Step-by-step explanation:
(1/a)³ = 1³/a³ = 1/a³
Please help ! It's timed!
Answers
Answer:
The answer to your first question is A You can find slope through the equation Change in Y over change in x. and find the y intercept by using the growth rate and multiplying or dividing it by the x coordinate until the Y value hits 0,
Step-by-step explanation: If you dont feel like doing the work copy and paste the equations into desmos graphing calculator and it will tell you everything
A new online auction site specializes in selling automotive parts for classic cars. The founder of the company believes that the price received for a particular item increases with its age (the age of the car on which the item can be used in years) and with the number of bidders. Use the multiple regression output below to answer the following questions.
Summary measures Multiple R 0.8391 R-Square 0.7041 Adj R-Square 0.6783 StErr of Estimate 148.828
Regression coefficients Coefficient Std Err t-value p-value Constant -1242.986 331.204 -3.7529 0.0010 Age of part 75.017 10.647 7.0459 0.0000 Number of Bidders 13.973 10.443 1.3380 0.1940
a. Use the information above to write out the form of the linear regression model.
b. Interpret each of the estimated regression coefficients of the regression model.
c. Is the founder of the company correct in believing that the price received for the item increases with its age and with the number of bidders? Explain your answer.
Answers
Solution :
a). The required linear regression model is
Price = [tex]$-1242.986 + 75.017 \times \text{age of part} + 13.973 \times \text{ number of bidders}$[/tex]
b). The [tex]$\text{p-value}$[/tex] for the variable "Age of part" is 0.0000
Since the [tex]$\text{p-value}$[/tex] is less than 0.05, so it is significant to the model.
The p-value for the variable "Number of bidders" is 0.1940
Since [tex]$\text{p-value}$[/tex] is not less than [tex]$0.05$[/tex], so it is significant to the model.
c). We cannot say that model is significant because variable " the number of bidders" is not significant.
But as both variables have positive coefficient so as the variable increases the price received for the item also increased.
In circle J with m
a. 46.5'
b.73'
c.292'
d.214'
Answers
Answer:
B. 73°
Step-by-step explanation:
mL HLK = ½ × mL HJK = ½×146=73°
the number of geusts,g, coming for dinner is not 8
Answers
The number of guests, g, coming for dinner is not 8, is g ≠ 8.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
The expression,
the number of guests, g, coming for dinner is not 8.
That means,
Let the number is g.
According to the question,
the number is not equals to 8.
That means,
the expression in the numerator form,
g ≠ 8.
Therefore, the term in the mathematical form g ≠ 8.
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what is 10x10?................................
Answers
Answer:
100??................
Answer:
100
Step-by-step explanation: Even im not that bad at math
Pls help me i need to fill in the boxes that dont have anything in them but i aldo need to fill in the one that says "A="
Answers
Step-by-step explanation:
Area (A) = (1/2)b×h = (1/2)(10)(6) = 30
Perimeter = 8+ 8 + 10 = 26