A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your answer to the nearest cubic centimeter.
Answers
Answer:
191
Explanation:
The volume left equals
Volume lefft = volume of the cube - the volume of the cone
Now
\(cube\; volume=6\operatorname{cm}\times6\operatorname{cm}\times6\operatorname{cm}=216\operatorname{cm}\)and
\(cone\; volume=\frac{\pi r^2h}{3}\)since r = 2 cm and h = 6 cm, we have
\(cone\; volume=\frac{\pi(2)^2\cdot6}{3}=8\pi\; cm^3\)Hence,
\(volume\; left=216\operatorname{cm}-8\pi cm^3\)\(volume\; left=190.867\operatorname{cm}^3\)rounded to the nearest cubic centimeter gives
\(\boxed{volume\; left=191\operatorname{cm}}\)Related Questions
Average movie prices in the United States are, in general, lower than in other countries. It would cost
$79.45 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two
tickets in Japan would cost $76.10. How much does an average movie ticket cost in each of these
countries?
Answers
PLEASE NEED THIS ASAP
Answers
Answer:
The answer is in the above attachment.
Someone help with this equation
Answers
The answer is:
g(x + 1) = 6x + 1
g(4x) = 24x -5
Work/explanation:
To evaluate, I plug in x + 1 into the function:
\(\sf{g(x)=6x-5}\)
\(\sf{g(x+1)=6(x+1)-5}\)
Simplify
\(\sf{g(x+1)=6x+6-5}\)
\(\sf{g(x+1)=6x+1}\)
------------------
Do the same thing with g(4x)
\(\sf{g(4x)=6(4x)-5}\)
\(\sf{g(4x)=24x-5}\)
Hence, these are the answers.
between grid lines is 1 foot.
A. Is 30 feet of fencing enough to enclose the yard?
Answers
Study this table.
x
y
–3
–2
–2
0
0
4
4
12
Which best describes the function represented by the data in the table?
linear with a common ratio of 2
linear with a common first difference of 2
quadratic with a common ratio of 2
quadratic with a common first difference of 2
Answers
Nemo can make a monthly payment of $565 for a car. If the annual interest rate he
qualifies for is 9% for 4 years, what price could he afford for the car?
Answers
Answer:$ 24,679.20 or 514.15 a month
Step-by-step explanation: 565(.09) is 50.85 which needs to be deducted from the payment of 565 because he needs to be able to pay for interest. 514.15 is then multiplied by 48 months which will bring you to 24,679.20
Lily has 4 cups of apples, 5-½ cups of watermelon, and cups of
grapes. She needs 2½ times of each fruit to make her fruit bowl. How
much of each fruit does she need? Do not round. Write your answer as
a whole number or as a mixed number. Use "/" as a fraction bar. Do
not label your answers.
a. Apples
b. Watermelons
c. Grapes
Answers
a. Apples: Lily needs 10 cups of apples for her fruit bowl.
b. Watermelons: Lily needs 13-3/4 cups of watermelons for her fruit bowl.
c. Grapes: The amount of grapes that Lily has is not given
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
To make her fruit bowl, Lily needs 2½ times the amount of each fruit she currently has.
a. Apples:
2½ × 4 cups = 10 cups
Therefore, Lily needs 10 cups of apples for her fruit bowl.
b. Watermelons:
2½ × 5-½ cups = (2 × 5 + 1/2) × 5/2 cups = 13-3/4 cups
Therefore, Lily needs 13-3/4 cups of watermelons for her fruit bowl.
c. Grapes:
The amount of grapes that Lily has is not given, so we cannot calculate how much she needs for her fruit bowl.
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Natalie invests $2,000 into a savings account
which earns 11% per year. In 20 years, how
much will Natalie's investment be worth if
interest is compounded monthly? Round to the
nearest dollar.
Answers
Answer:
We can use the formula for compound interest to find the future value (FV) of Natalie's investment:
FV = P * (1 + r/n)^(n*t)
Where:
P is the principal amount (the initial investment), which is $2,000 in this case
r is the annual interest rate as a decimal, which is 11% or 0.11
n is the number of times the interest is compounded per year, which is 12 since interest is compounded monthly
t is the number of years, which is 20
Substituting the values into the formula, we get:
FV =
2
,
000
∗
(
1
+
0.11
/
12
)
(
12
∗
20
)
�
�
=
2,000 * (1.00917)^240
FV = $18,255.74
Therefore, after 20 years of compounded monthly interest at a rate of 11%, Natalie's investment of 2,000 will be worth approximately 18,256.
Answer:
$17,870
Step-by-step explanation:
You must use the formula for compound interest.
A = P(1 + r/n)^nt
I suggest you look it up at some point so that you can do these more easily in the future!
Lacy enjoys running around the lake, and Paul enjoys running around the park. Lacy contends that she runs
farther around the lake than Paul runs around the park, and Paul contends the opposite.
To settle their debate, they find satellite images of the lake and the park and juxtapose them on a single
coordinate grid (shown below).
The perimeter of the lake is m
Round the final answer to the nearest meter. Do not round intermediate calculations.
The perimeter of the park is m
Round the final answer to the nearest meter. Do not round intermediate calculations.
Who should win the debate?
Answers
Answer:
The perimeter of the lake is 314m. The perimeter of the park is 339 m. Paul should win the debate.
Step-by-step explanation:
Can someone show an example of Inverses of Functions
Because I do not understand that subject
Answers
Answer:
I believe you mean algebra and inverses when you change it to solve inequalities.
Step-by-step explanation:
Let's use -3 + 4 as an example. In order to change the function, you will switch the sign. (In this case, we change "+" into ")
At this same time, you must change the sign in front of the numbers. (Positive signs become negative and negative signs become positive.
So, -3 + 4 is the same thing as 3 - -4.
3 - 4 = -1
-3 + 4 = 1
Tip: When subtracting a negative number, the answer is likely to go up instead of down.
I hope this helps! I did my best :)
find the measure of m
Answers
Answer:
47*
Step-by-step explanation:
Each corner of the square is 90*
angle CBE + angle ABE = 90*
fill in the blanks
43 + x = 90
subtract 43 from both sides
x = 47*
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
Answers
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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The table shows the lengths of four trails at a horseback riding camp. The estimated length of all four trails is 12 miles. Find a possible length for trail D. Show your work.
Answers
Answer:
Step-by-step explanation:
2.6 plus 1.8 plus 4.2 is 8.6. subtract this from 12 to get your answer of 3.4
If the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Terms are similar, and we can perform arithmetic operations on them like addition and subtraction.
It is obtained from the table that the length of trails A, B, and C will be 2.6, 1.8, and 4.2 miles.
It is given that the estimated length of all four trails is 12 miles the length of Trail D is obtained by adding all the given lengths of the trails and subtracting it from the total length.
= 2.6 + 1.8, + 4.2 miles.
= 8.6 miles
The length of trail D is,
= 12 miles - 8.6 miles
= 3.4 miles.
Thus, if the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.
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Use the drawing tools to form the correct answer on the graph.Draw the solution point, or points, for this system of equations.y = 252 - 122 + 20=2
Answers
INFORMATION:
We have the next two equations:
\(\begin{gathered} y=2x^2-12x+20 \\ y=2 \end{gathered}\)And we must graph the solution
STEP BY STEP EXPLANATION:
To graph the solution, we must first find the solution.
To find the solution of the system, we can equal the two equations and then solve for x
1. Equal the two equations
\(2x^2-12x+20=2\)2. Solve for x
\(\begin{gathered} 2x^2-12x+20-2=0 \\ 2x^2-12x+18=0 \\ 2(x^2-6x+9)=0 \\ 2((x-3)(x-3))=0 \\ 2(x-3)^2=0 \\ (x-3)^2=0 \\ x-3=0 \\ x=3 \end{gathered}\)So, the solution of the system is x = 3.
To find the solution point, we can replace x = 3 in one of the equations of the system.
Then, replacing x = 3 in y = 2, we obtain that the solution point is (3, 2)
ANSWER:
In need of help immediately !!!
Answers
Step by step
She started out with $25
She had a remainder of $22.14
Subtract
25 - 22.14 = $2.86 she spent on ribbon
Divide $2.86 by .22 per yard = 13 yards
Problem solved
Graph the line.
Y=2/5 x +5
Answers
Answer:
Plot points at (0,5) and (5,7)
Step-by-step explanation:
The slope-intercept equation format is...
y=mx + b
m is the slope and b is the y-intercept
Start by plotting a point at (0,5). This is where the line will intercept the y-axis (hence y-intercept). Now we need to figure out the slope...
Since slope is rise/run we can rise 2 from the point (0,5) and go to the right 5. Plot a point there. Then connect the two points and you get a line!
You can also use a graphing calculator or an online one such as Desmos.
Solve:
-11 2/3 x (-4 1/5)
Answers
Answer: 44 2/15
Step-by-step explanation:
Find the domain of the following function. 1/ x^2-6x-7
Answers
Answer:
domain= all real numbers
Step-by-step explanation: hope this helps i tried
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
Answers
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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Angie Adkins paid $95 for a used refrigerator, $115 fora used dining set and $240 for a used living room set. What was the total cost of the items?
Answers
Answer: 450
Step-by-step explanation: 95+115+240=450
On a map of a town, 3 cm represents 150 m. Two points in the town are 1 km apart. How far apart are the two points on the map?
Answers
Answer:
5000 km
Step-by-step explanation:
We are given that
3 cm represents on a map of a town=150 m
Distance between two points=1 km
We have to find the distance between two points on the map.
3 cm represents on a map of a town=150 m
1 cm represents on a map of a town=150/3 m
1 km=1000 m
1 m=100 cm
\(1km=1000\times 100=100000 cm\)
100000 cm represents on a map of a town
=\(\frac{150}{3}\times 100000\) m
100000 cm represents on a map of a town=5000000 m
100000 cm represents on a map of a town
=\(\frac{5000000}{1000} km\)
100000 cm represents on a map of a town=5000 km
Hence, two points are separated by 5000 km on the map.
Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.
What is the length of AE¯¯¯¯¯ ?
Enter your answer in the box.
the length of AE¯¯¯¯¯ =
cm
Answers
The length of AE¯¯¯¯¯ is 5√2 cm.
Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.
Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.
Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.
In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal (the hypotenuse) is the same as the side length, s.
Applying the Pythagorean theorem:
s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
100 = 2 * AE¯¯¯¯¯^2
AE¯¯¯¯¯^2 = 50
Taking the square root of both sides:
AE¯¯¯¯¯ = √50
Simplifying the square root:
AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm
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please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answers
Answer:
I think its C
Step-by-step explanation:
The total surface area of a solid cylinder is 484cm square. If it's base has a diameter of 14 cm . Find the length take(22/7)
Answers
Answer:
I believe that the answer is 22.
Step-by-step explanation:
The height would be 22, because the radius is 22, and 484/22 is 22, so I THINK this is the answer.
It takes the mighty ant only two weeks to build a tunnel underneath the ant farm, but it takes the puny ant 3 weeks. If puny can put aside his jealousy so the two of the can work together, how many weeks will it take them to build 15 tunnels?
Answers
18 weeks it take them to build 15 tunnels.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
It takes the mighty ant only two weeks to build a tunnel underneath the ant farm, but it takes the puny ant 3 weeks.
let x be the number of weeks
So, x/2 + x/3 = 15
5x/ 6 = 15
5x = 90
x= 90/5
x= 18
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A number cube is marked 1, 2, 3,4,5 and on 6 it's face if you roll the cube one time what is the probability that is 2
Answers
Answer:
1/6
Step-by-step explanation:
This is your answer
Hope this helps :)
Answer:
1/6
Step-by-step explanation:
Identify the level of measurement (nominal, ordinal, or interval-ratio) of each of the following variables: (1) How satisfied a person is with his or her employment benefits, measured as very satisfied, somewhat satisfied, neither satisfied nor dissatisfied, somewhat dissatisfied, or very dissatisfied. (2) The number of times someone has shoplifted in her or his life. (3) The number of times someone has voted in a public election measured as 0-1 times, 2-3 times, or 4 or more times. (4) The type of attomey a criminal defendant has attrial, measured as privately retained or publicly funded.
Answers
Solution :
Nominal variable
A nominal variable is defined as a variable which is used to \(\text{nam}e \text{ or label or categorize some particular attributes }\) which are being measured.
An ordinal variable is the one in which the order matters, but the difference between any two orders does not matter.
In interval ratio variable is defined as the variable where the difference between any two values is meaningful.
The level of measurement for each of the following are :
1) Variables that are categorized in categories so that it is ordinal data.
2) Data scaled with the two categories her or his, so it is a nominal data.
3) Number of votes categorized in the intervals so it is Interval type data.
4) nominal data.
What is the relationship between a quadratic equations factors and it’s solutions
Answers
The relationship between a quadratic equations factors and it’s solutions is given by -
x - [{- b + √(b² - 4ac)}/2a] = 0 x - [{- b - √(b² - 4ac)}/2a] = 0What is the general form of a quadratic equation? What is a mathematical function, equation and expression? quadratic equation : The general equation of a quadratic equation is : f(x) = ax² + bx + c. function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a quadratic equation as follows -
f(x) = ax² + bx + c.
Factoring quadratic equation is a method of expressing the quadratic equation (ax² + bx + c = 0) as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation.Using the quadratic formula, we can write -[h] = {- b + √(b² - 4ac)}/2a
[k] = {- b - √(b² - 4ac)}/2a
We can write the relationship between a quadratic equations factors and it’s solutions as -x - [{- b + √(b² - 4ac)}/2a] = 0
x - [{- b - √(b² - 4ac)}/2a] = 0
Therefore, the relationship between a quadratic equations factors and it’s solutions is given by -
x - [{- b + √(b² - 4ac)}/2a] = 0 x - [{- b - √(b² - 4ac)}/2a] = 0To solve more questions on functions, expressions and polynomials, visit the link below -
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What is a quotation and what is it's purpose?.
Answers
quotation is similar to motivation
Dana is making bean soup. The recipe she has makes 10 servings and uses
3/4
of a pound of beans. How many total pounds of beans does she need to make 5 servings of soup?
She has
1/16
of a pound of beans in one container and
1/4
of a pound of beans in another container. How many more pounds of beans does Dana need to make the 5 servings of soup? Show your work or explain your answer.