Choose the correct simplification of (3xy6)2(y3)3
A.9x2y21
B.6x2y21
C.9x2y14
D.6x2y14
Answer: A. [tex]9x^2y^{21}[/tex]
Step-by-step explanation:
The given expression : [tex](3xy^6)^2(y^3)^3[/tex]
Using laws of exponents :
[tex]a^m*a^n=a^{m+n}\\\\(a^m)^n=a^{mn}[/tex]
To simplify the given expression :
[tex](3xy^6)^2(y^3)^3\\\\=(3)^2(x)^2(y^6)^2(y^{3\times3})\\\\=9x^2y^{12}\times y^9\\\\=9x^2y^{12+9}\\\\=9x^2y^{21}[/tex]
Therefore, [tex](3xy^6)^2(y^3)^3=9x^2y^{21}[/tex]
PLEASE HELP ME!!!
If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes?
A.137.6 in.^3
B.141.9 in.^3
C.145.6 in.^3
The volume of a sphere is.
V = 4/3 * π * r(raised to the 3rd power)V1 represents when r = 5Answer:
C
Step-by-step explanation:
141.9in3
Write the decimal 5.16 as a percent
What is the slope of this line segment?
what polynomial could you add to 3x^4 - 9x^3 + 5x^2 - x + 7 to get a sum of 3+4x^4 + 3x-x^3 + 3x^2
How do variables help you model real-world situations? Give an example of a model that uses variables and explain how it helps people make predictions.
You are given 4x-2y=12 and -4x-9=54. You are asked to find the order of the ladder. However, you did not specify which variable represents the ladder. I will just solve for both of the variables. I will be applying the substitution method.
Let 4x-2y=12 equals equation one and equation 2 for -4x-9=54.
4x-2y=12
4x=12+2y
x=3+1/2y
substitute this x to the equation 2
-4x-9y=54
-4(3+1/2y )-9y=54
Y=-6
X=3+1/2y = 3+1/2(-6) = 3+(-3) = 0
Rick and Ben had the same amount of money. Ben spent $138. In the end,Rick had 4 times as much as Ben.How much did Rick have?
What is the volume of four cubes with a side length of fraction 1 over 4 foot? V = s3, where s is the side length. fraction 1 over 4 ft3 fraction 1 over 3 ft3 fraction 1 over 12 ft3 fraction 1 over 16 ft3
Answer:
Option D. [tex](\frac{1}{16}) ft^{3}[/tex]
Step-by-step explanation:
Since formula to find volume of a cube is V = (side)³
and one side of the cube is [tex](\frac{1}{4})[/tex] foot
Therefore, volume of the cube will be
V = [tex](\frac{1}{4})[/tex]³
We have to calculate the volume of 4 cubes
4 × V = 4 × [tex](\frac{1}{4})[/tex]³
= [tex]\frac{4\times 1}{4^{3}}=\frac{1}{4^{2}}=(\frac{1}{16})ft^{3}[/tex]
Option D. [tex](\frac{1}{16}) ft^{3}[/tex] is the answer.
A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 4 tons. About how much would it cost the family to move from New York to Florida?
1 ton = 2000 pounds
4* 2000 = 8000 pounds total
8000 * 0.60 = $4,800.00
it will cost $4,800 to move
Answer:
Step-by-step explanation:
1 ton = 2000 pounds
4* 2000 = 8000 pounds total
8000 * 0.60 = $4,800.00
it will cost $4,800 to move
whats the property in this equation 6 + 3= 3 +6
how do u write the product of 10 and the difference of a number X and 14 is 90
[tex]10(x-14)=90[/tex]
The diameter of a beach ball is 10 inches. How many cubic inches of air can the beach ball hold? Use 3.14. Round to the nearest tenth of a cubic inch.
PLEASE HELP {It costs 5,700 every one sixth of an hour to build a hotel how many cents does building a hotel cost per second?}
Can someone plz help me with this math problem.
a certain triangle has a 30 degree angle and a 60 degree angle. which must be a true statement about the triangle
Find the probability of rolling an even number on a fair number cube and drawing a red card from a standard deck of cards.
The probability of rolling an even number on a fair number cube and drawing a red card from a standard deck of cards is 1/4.
Explanation:The probability of rolling an even number on a fair number cube is 1/2 because there are three even numbers (2, 4, 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6).
The probability of drawing a red card from a standard deck of cards is 26/52, or 1/2, because there are 26 red cards (13 hearts + 13 diamonds) out of a total of 52 cards in the deck.
To find the probability of both events happening, you multiply the probabilities together: (1/2) * (1/2) = 1/4.
The probability of rolling an even number on a six-sided die and drawing a red card from a standard deck of cards is 1/4. P(EM) refers to the probability of rolling a number that is both even and a multiple of three. P(E OR M) represents the probability of rolling a number that is either even or a multiple of three.
Explanation:The probability of rolling an even number on a fair six-sided die is calculated by counting the even numbers (2, 4, 6) and dividing by the total number of sides, which gives us P(E) = 3/6 = 1/2. For drawing a red card from a standard deck of 52 playing cards, half of the cards are red, so P(Red) = 26/52 = 1/2. To find the combined probability of both independent events occurring, we multiply their respective probabilities: P(Even number and Red card) = P(E) × P(Red) = (1/2) × (1/2) = 1/4.
What does P(EM) mean in words?
P(EM) represents the probability of the intersection of two events, E and M, meaning the probability that the number rolled is both even and a multiple of three.
What does P(E OR M) mean in words?
P(E OR M) signifies the probability of the union of two events, E or M, which is the chance that the number rolled is either even or a multiple of three.
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How many grams of protein do you need daily?
46.08 grams of protine daily
What is the place value of 1 in 209.631?
Darren and Latisha are decorating cupcakes for a bake sale. They need to decorate 100 cupcakes. Each of them has decorated 40% of the cupcakes. What percentage of cupcakes do they have left to decorate?
Answer:
Now they have left to decorate 20% cupcakes.
Step-by-step explanation:
Darren and Latisha are decorating cupcakes for a bake sale.
They need to decorate 100 cupcakes.
Each of them has decorated 40% of the cupcakes = 40% + 40% = 80%
Both of them has decorated 80% of the cupcakes.
80% of 100 cupcakes = 80 cupcakes
Now they have left to decorate 100 - 80 = 20
Now they have left to decorate 20% cupcakes.
Factor this trinomial with a leading coefficient of 1. The trinomial being 2x^2y-34xy+144y
because the angles in a rectangle are 90 degrees it is not a parallelogram true or false? please explain why
Bradley bought 14 yellow highlighters. each highlighter cost $0.94.how much did Bradley spend?
a string was 4m long. she gave 1/4m of it to her sister and 3/4m to her friends. how much string had she given away?
A square patio has an area of 200 square feet how long is each side of the patio to the nearest 10th
Show that |3+10| =|3|+|10|
A quarterback completes 65% of his passes. Out of his next 40 passes, how many can you expect to be completed.
what is the product of any integer and -1
How long is a distance of 8 km if measured on a map with a scale of 1:50,000
Final answer:
To find the map distance of an 8 km actual distance on a map with a scale of 1:50,000, convert 8 km to meters (8,000 m), and divide by the scale factor (50,000) to get the map distance of 16 centimeters.
Explanation:
To calculate the length of an 8 km distance on a map with a scale of 1:50,000, you can use the formula:
Actual distance (in real life) / Scale = Distance on the map. This can be rearranged to: Distance on the map = Actual distance / Scale. Therefore, 8 km / 1:50,000 conversion would be calculated as follows:
The distance of 8 km is represented as 16 centimeters on a map with a scale of 1:50,000.
On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(3, 2) and Q(−3, 2). What is the length of Side PQ of the polygon?
a football team gain 2 yards on the first play ,losees 5 yards on the second play ,loses 3 yards on the third, and gains 4 on the the fourth play.what is the teams overall gain or loss for all four plays