The volume of the cube can't equal 15cm ³ because 15 has no cube roots, the volume of the cube equals 15 cm squared.
What is the volume of the cube?The volume of a cube is equal to the product of the length, width, and height of a cube.
The volume of a cube is given by the formula as
The volume of a cube = length × breadth× height
What is a cube root?The cube root of a number is the component that we multiply by itself three times to produce that number.
The cube root is denoted by the'∛ ' symbol.
Example: ∛216 = ∛(6 × 6 × 6) = 6.
Here the length of each edge of a cube is x centimeters.
If we write the cube of a number
1³ = 1
2³ = 8
3³ = 27
Now we have a volume of 15 that contains no cube root.
A cube root is also contained in the volume of the cube.
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Given the point and it''s image, determine the scale factor. A (3, 6) A'' (4.5, 9) G'' (3, 6) G (1.5, 3) B (2, 5) B'' (1, 2.5).
Final answer:
The scale factors for the points given are 1.5 for A to A', indicating an enlargement, and 0.5 for B to B', indicating a reduction. G to G' also indicates a reduction with a factor of 0.5.
Explanation:
To determine the scale factor given the point and its image, you can find the ratio between the coordinates of the image and the original coordinates. Let's analyze the pairs of points you've provided:
A (3, 6) and A' (4.5, 9)
G (1.5, 3) and G' (3, 6)
B (2, 5) and B' (1, 2.5)
We can find the scale factor by dividing the x-coordinates of the image by the original x-coordinate and doing the same for the y-coordinates. For point A:
Scale factor for x: 4.5 / 3 = 1.5
Scale factor for y: 9 / 6 = 1.5
For point G, we see that it's actually the reverse (original to image), but you can still calculate:
Scale factor for x: 3 / 1.5 = 2
Scale factor for y: 6 / 3 = 2
Lastly, for point B:
Scale factor for x: 1 / 2 = 0.5
Scale factor for y: 2.5 / 5 = 0.5
So, the scale factors for A to A' and for B to B' are 1.5 and 0.5, respectively, showing that A to A' is an enlargement while B to B' is a reduction. For G to G', the reverse is a reduction with a factor of 0.5.
You have 10,600 to 10,425 find the percent decrease
If g(x)=5x-3 and h(x) = x find (goh) (4)
In this composition, we first apply the function h, which is simply the identity function, to the input 4, resulting in 4. Then, we apply the function g to this result. As g(x) = 5x - 3, g(4) equals 17. Hence, (g◦h)(4) = 17.
To find (g◦h)(4), which represents the composition of functions g and h evaluated at x = 4, we first need to find h(4), then substitute the result into g(x).
Given h(x) = x, h(4) = 4.
Now, we substitute h(4) into g(x).
So, g(h(4)) becomes g(4).
Given g(x) = 5x - 3, substituting x = 4 into g(x), we get g(4) = 5(4) - 3 = 20 - 3 = 17.
Therefore, (g◦h)(4) = 17.
a number x plus 9 is 3036 write equation solve for x
Sean lives about 15.5 miles from the airport. Which number rounds to 15.5 when rounded to the nearest tenth?
Multiplication Property of Inequality -1/2x<-12 simplify it all the way through
A mountain climber climbed down a cliff 50 feet at a time . He did this 5 times in one day . What is the overall change in his elevation ?
what is 63.75 minus 13.25 please really need help.
The time to fly between new york city and chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. what is the probability that a flight is less than 135 minutes
What is the equivalent decimal for 67/100,1/100,81/1000,9 6/10, 3 21/100,5 3/100, 4 77/1000
what is bigger 4/5 or 5/9
x/21 = 3/63 solve the proportion
there are some numbers that can be made into only one array. Find all of these numbers up to 50.
Is the product of an irrational number with a rational number always an irrational number??
Your car gets about 30 miles per gallon. You are planning to drive to see your friends who live about 930 miles away. How many gallons of gas will you need to purchase to make the trip to see your friends and return home? State your anwser to the nearest gallon?
For the round trip of 930 miles each way, you will need to purchase about 62 gallons of gas, given a car's gas mileage of 30 miles per gallon.
To calculate the gallons of gas needed for the round trip, follow these steps:
Calculate the total distance for the round trip.
The round trip distance is twice the one-way distance.
Round trip distance = 2 * 930 miles = 1860 miles.
Find the number of gallons required for the round trip.
Divide the total distance by the car's gas mileage (miles per gallon).
Gallons required = Round trip distance / Gas mileage
Gallons required = 1860 miles / 30 miles per gallon
Perform the division.
Gallons required = 62 gallons.
Round the answer.
Since you cannot purchase a fraction of a gallon, round the answer to the nearest gallon.
You will need to purchase approximately 62 gallons of gas for the round trip.
So, to make the trip to see your friends and return home, you will need to purchase about 62 gallons of gas.
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What is the next number in the sequence: 4, 11, 25, 53...?
Answer:
109
Step-by-step explanation:
Given that there is a sequence of numbers as
4,11,25,53,...
We have to find the next number.
To find the next number, let us see the pattern from the given four numbers
We have
I number = 4
II number = 4+7
III number = II number + 2(7)
Iv number = III number +4(7)
So if we guess this pattern continues the next number namely v number would be
V number = IV number +8(7)
=53+56
109
i.e. I number is added by 7, II number by 2(7), III number by 2^2(7)
hence next number 2^3(7)
Answer is 109
The next number in the sequence is:
109Obtaining the sequenceAs can be seen, the first number is a selected number, which in this case is four, to which seven are added to obtain:
4 + 7 = 11Then double 7 is added to that number, that is 14, with which you get:
11 + 14 = 25The double of 14 is added to that number, which is 28, so the next number is: 25 + 28 = 53And to get the next number, double 28 must be added, which is 56, therefore:
53 + 56 = 109By this reason, the next number in the sequence is 109.
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Write out the sample space for the given experiment. use the letter b to indicate boys and g for girls. a couple plans to have 33 children.
An example of one possible outcome in the sample space:
[tex]\[ \text{bgbbggbggbgbgbggbbgbgbgbbggbgbgb} \][/tex]
To create the sample space for the given experiment, where a couple plans to have 33 children, we'll represent the possible outcomes using the letters "b" for boys and "g" for girls. The sample space for having 33 children can be represented as a sequence of "b" and "g", where each letter represents the gender of a child. Since there are 33 children, the sample space will consist of all possible sequences of 33 "b"s and "g"s.[tex]\[ \text{bgbbggbggbgbgbggbbgbgbgbbggbgbgb} \][/tex]
Each letter in the sequence represents the gender of a child, with "b" indicating a boy and "g" indicating a girl. The sample space consists of all possible sequences of 33 "b"s and "g"s, representing all possible combinations of boys and girls the couple could have among their 33 children.calculate each of the following by using scientific notation and product rule. write the answer in scientific notation. 2.3 x 10^4 times 4.2 x 10^6
Tiffany Baldwin earns $800 every week. Her federal income tax is $25. Her state tax is $11. Her FICA is 7.65% of his gross salary. She contributes 2% of her gross earnings to a 401K. She has $20 per paycheck deducted post-tax to pay for her gym membership. What are her pre-tax deductions?
A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7 gallons of gas?
find the intercept of the line 15.579x +23.354y=13.997. please round your answer
3.4 divided by 0.16728
Answer:
-7(k+9)=9(k-5)-14k
During first semester, the ratio of the number of students in our class to the number of students in gym class was 2 to 7. However, the art classes were really small, and the gym classes with large, so the principal change the students classes for second semester. In second semester, the ratio of the number of students in our class to the number of students in gym class was 5 to 4. If 75 students were in our class second semester, how many were in our class in gym class first semester.
the moon is 250,000 miles away. how many feet is it from earth
To convert the distance from the Earth to the Moon from miles to feet, multiply 250,000 miles by the number of feet in a mile, which is 5,280. This calculation yields a result of approximately 1.32 billion feet.
The distance from the Earth to the Moon is given as 250,000 miles. To convert this distance from miles to feet, we use the fact that there are 5,280 feet in a mile. Thus, we multiply the distance in miles by the number of feet per mile.
To find the distance in feet, perform the following calculation:
Multiply the distance in miles by the number of feet per mile: 250,000 miles × 5,280 feet/mile.
This equals 1,320,000,000 feet.
Therefore, the Moon is approximately 1.32 billion feet away from Earth.
Prime factorization practice all factors 1.- 25 2.- 49 3.- 7 4.- 13 5.- 24 6.- 48 7.- 168
Sue and jonah shose nummbers for a place value game.Sue chose the number one hundred.Jonah chose five million for his number.who chose the greater number
HELP ME PLEASE!!
-1.3 ≥ 2.9 -0.6r
Graph the solution
The solution to the inequality -1.3 ≥ 2.9 -0.6r, is r ≤ 7. This is represented on a graph by placing a closed circle on 7 and drawing a line to the left, to represent all numbers less than 7.
Explanation:To solve this inequality, -1.3 ≥ 2.9 -0.6r, first, we isolate the variable r (which represents solving for 'r'). Start by subtracting 2.9 from both sides of the inequality.
This gives us -4.2 ≥ -0.6r. Then divide both sides by -0.6. However, remember when dividing or multiplying an inequality by a negative number, the direction of the inequality changes. So, it becomes r ≤ 7.
When graphing this inequality, you will place a closed circle at 7 (showing that point is included) and draw a line to the left from 7, extending to infinity (since all numbers less than 7 satisfy the inequality).
The graph represents the mathematical solution to the inequality.
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25/5 as a mixed number
Frederick is working on a number puzzle and discovers that the product of the two base numbers is exactly twice as large as the sum of those same base numbers.
Help on this, please?
The two base numbers can be represented as x and y. Setting them equal in the equation x * y = 2(x + y) allows you to solve for them. One solution is x = 2 and y = 2.
Explanation:This problem can be solved using basic algebra. Let's assume the two base numbers be x and y. Since the product of the two base numbers (x * y) is twice as large as the sum of those numbers (x + y), we can create the following equation: x * y = 2(x + y).
To solve for x and y, you may set x and y to different numbers and check if they satisfy the equation. One solution is x = 2 and y = 2, since 2*2 = 2(2+2). Similarly, other pairs of numbers may also satisfy this equation based on the specific constraints of Frederick's number puzzle.
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To solve the number puzzle, we need to find two base numbers whose product is exactly twice as large as their sum. By rearranging the terms and factoring, we can find the base numbers that satisfy the equation. An example solution is provided with a = 3 and b = 6.
Explanation:To solve the number puzzle, we need to find two base numbers whose product is exactly twice as large as their sum. Let's represent the base numbers as 'a' and 'b'. According to the information given, we have the equation:
ab = 2(a + b).
We can simplify the equation by rearranging the terms and factoring: ab - 2a - 2b = 0. Using a technique called 'completing the square', we can rewrite the equation as (a - 2)(b - 2) = 4.
From here, we can choose different values for 'a' and 'b' that satisfy the equation, such as a = 3 and b = 6. Therefore, the base numbers for the number puzzle are 3 and 6.
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