The volume of a cube with a side length of [tex]4r^3s[/tex] is a monomial expressed as[tex]64r^9s^3[/tex], derived by cubing the side length according to the formula for the volume of a cube.
To express the volume of a cube with the side length[tex]4r^3s[/tex] as a monomial, we use the formula for the volume of a cube, which is [tex]Volume = side^3[/tex]. Therefore, for a cube with side length [tex]4r^3s[/tex], the volume V can be calculated as follows:
[tex]V = (4r^3s)^3 = 4^3 \times (r^3)^3 \times s^3 = 64 \times r^9 \times s^3[/tex]
This simplifies to V = 64r^9s^3, which is the monomial representing the volume of the cube.
Which conditional statement is true?
A. If two angles are acute, then they are complementary?
B. If an angle is acute, then its measures is less than 90 degrees
Would it be A?
Identify the type of transformation given the rule R(x, y) = (–x. –y). a. horizontal translation c. reflection across the x- or y-axis b. vertical translation d. 180° rotation
Tommy plotted the opposite of one. Alicia plotted the opposite of two.Which Number is greater in value ? Explain.
A fraction with fractions in either the numerator or the denominator or both is called a _____.
mixed fraction
complex fraction
compound fraction
parallel fraction
Answer: Parallel fractions
Step-by-step explanation:
Round 3.4 to the nearest gallons please.
At the end of a party, 3/4 cup of dip is left. Jim divides 4/5 of the leftover dip equally between 2 friends. How much dip does each friend get?
Final answer:
Each friend gets 3/10 cup of dip.
Explanation:
To calculate how much dip each friend gets, we first need to find the amount of dip Jim had after dividing.
Since 3/4 cup of dip was left and Jim divided 4/5 of that dip, we can calculate it as follows:
Amount of dip Jim divided = (3/4) * (4/5) = 3/5 cup
Since there are 2 friends, we divide the amount of dip Jim divided equally:
Amount of dip each friend gets = (3/5) / 2 = 3/10 cup
Therefore, each friend gets 3/10 cup of dip.
Equation 13.00 x 0.53
how many solutions does the equation have? 6x+4x-6=24+9x
write a fraction equivalent to 60mi/4hr that has 2 in the denominator
in a comparison taste test of two drinks 780 people preffered Cranberry blast. Only 220 people preferred Melon splash. How many percent of people like cranberry blast?
Which answer shows this equation in standard form?
7 – 3(x – y) = –5x + 2
A.
–8x + 3y = –5
B.
–2x – 3y = 5
C.
2x + 3y = –5
D.
2x – 3y = –5
What are fractions that equal 10
how did people affect the environment in hurricane irma? History
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
-2
Step-by-step explanation:
i took the test
The Vega family has 3 year cellphone contract. Javier Vega says that the family gets a total of 3x10(4) minutes of talk time to share during the three years. Is havier correct
Vega says that the family gets a total of 120 minutes of talk time to share during the three years.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given that Vegas has a three-year mobile contract. According to Javier Vega, the family receives a total of 3 × 10(4) minutes of talk time to share over the course of three years.
As per the given information, the solution would be as:
⇒ 3 × 10(4)
⇒ 40(3)
⇒ 120
That is how the Vega family has 120 minutes left on their three-year contracts.
Therefore, Vega says that the family gets a total of 120 minutes of talk time to share during the three years.
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evaluate m+n for m=5 and n=4
Last year a company made a net profit of $20,000 on sales of $1,000,000. This year they made a net profit of $40,000 on sales of $1,000,000. When talking to the shareholders, they claimed that their profit increased by 100%, and asked for a bonus for doing so well. When talking to the union about a possible wage raise, they claimed that their profit only increased by 2%, which hasn't even kept up with inflation. How did they determine these figures? Which one do you think is correct?
For the proportional relationship y = -5x, what is the ratio of vertical change to horizontal change? Will the graph of the line increase or decrease? A. -51 The graph increases from left to right. B. -50 The graph increases from left to right. C. -51 The graph decreases from left to right. D. -50 The graph decreases from left to right.
If a man runs for a nd hour and a half at 8 miles an hour due South; and he continues south on a bus traveling at 55 miles an hour, for 24 minutes. How far did he travel
he ran 8 * 1.5 = 12 miles
the bus went : 55 * 24/60 = 22 miles
12 +22 = 34 miles total
The gazelle football team made 5 plays, gaining 4 yards on each play . then they made 4 plays, loosing 10 yards on each play . What was the total change in their positions from where they started ?
Final answer:
The gazelle football team gained 20 yards initially and then lost 40 yards, resulting in a total change in position of -20 yards, ending up 20 yards behind their starting point.
Explanation:
The total change in position for the gazelle football team is determined by the yardage gained and lost during the different plays. Initially, the team gains 4 yards on each of 5 plays, which totals to 4 yards/play × 5 plays = 20 yards gained.
Then, the team loses 10 yards on each of 4 plays, which totals to 10 yards/play × 4 plays = 40 yards lost. To find the overall change in position, we subtract the yardage lost from the yardage gained: 20 yards gained - 40 yards lost = -20 yards.
Therefore, the total change in position from where they started is -20 yards, meaning that they ended up 20 yards behind where they started.
A car travels at a constant speed. What is the car's speed between checkpoints, expressed as a unit rate? Use the information given in the picture.
Answer:
The unit rate is 44 miles per hour.
Step-by-step explanation:
The difference between both the checkpoints is given by:
[tex]208-120=88[/tex] miles driven
Time taken to travel 88 miles = [tex]3-1=2[/tex] hours
As the car travels at a constant speed, so we get 88 miles driven in 2 hours.
Hence, per hour distance covered is = [tex]\frac{88}{2}=44[/tex] miles per hour.
Relationship A has a greater rate than Relationship B. These numbers represent Relationship B. Hours worked: ( 2 ) ( 4 ) ( 5 ) ( 8 ). Amount paid: ( 30.40 ) ( 60.80 ) ( 76 ) (121.60 ). Which equation could represent Relationship A? Hours worked is represented by x and Amount paid is represented by y. Select each correct answer.
( y = 14.9x) ( y = 16.4x ) ( y = 15.2x ) ( y = 15.4x )
Answer:
I took the test and. this is what I got
Step-by-step explanation:
Find the quotient 42j^4 k^2÷(-3j^3 k)
Answer:
[tex]-14jk[/tex]
Step-by-step explanation:
We are asked to find the quotient of our given expression [tex]42j^4k^2\div -3j^3k[/tex]
First of all, we will write our given problem as a fraction.
[tex]\frac{42j^4k^2}{-3j^3k}[/tex]
Using exponent property [tex]\frac{a^m}{a^n}=a^{m-n}[/tex], we will get:
[tex]\frac{42}{-3}(j^{4-3}k^{2-1})[/tex]
[tex]-14j^{1}k^{1}[/tex]
[tex]-14jk[/tex]
Therefore, the quotient of our given problem is [tex]-14jk[/tex].
are the given lines parallel y=-5 y=3 ? how do you know? ASAP TY
The lines y = -5 and y = 3 are parallel because they are both horizontal lines with a slope of 0. This is the same case with lines Y2 and Y3 from the reference provided; they are parallel because they share the same slope.
Explanation:The lines y = -5 and y = 3 are indeed parallel lines. This is because they are both horizontal lines, which means their slopes are both 0. In mathematics, two lines are parallel if and only if their slopes are equal. In the case of these two lines, since they do not have a variable component (x), they are straight horizontal lines, meaning their slopes are equal and thus, they are parallel.
To illustrate this, contrast it with the given lines in the reference; line Y2 = -173.5+ 4.83x − 2(16.4), and line Y3 = -173.5+ 4.83x + 2(16.4), whereby y = -173.5+ 4.83x is the line of best fit. Y2 and Y3 have the same slope, which shows these lines are also parallel as they share the same inclination and distance apart at all points.
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What is the value of n ?
3 outside angles = 360
n = 360 - 133-142
n = 85
Convert the fraction into a decimal: 35/10 =
Answer: 3.5
Step-by-step explanation: In order to write [tex]\frac{35}{10}[/tex] as a decimal, we need to find a fraction that is equivalent to [tex]\frac{35}{10}[/tex] with a 100 in the denominator. Notice that if we multiply the numerator and denominator of [tex]\frac{35}{10}[/tex] by 10, we get the equivalent fraction [tex]\frac{350}{100}[/tex] which we can now write as a decimal. Remember that the hundredths place is two places to the right of the decimal point. Therefore, we can write [texfrac{350}{100}[/tex] as 3.5.
find the error and the correct answer
thx
Answer:
Only 6x6. It equals 36. This is the only thing I found was incorrect. Practice Multiplication!
Step-by-step explanation:
6x5= 30
30+6 = 36
Question 15
Leo bought a bulldozer for $63,103. The value of the bulldozer depreciated at a constant rate per year. The table below shows the value of the bulldozer after the first and second years:
Year
1
2
Value (in dollars)
58,054.76
53,410.38
Which function best represents the value of the bulldozer after t years?
f(t) = 58,054.76(0.92)t
f(t) = 63,103(0.08)t
f(t) = 63,103(0.92)t
f(t) = 58,054.76(0.08)t
Answer:
c f(t) = 63,103(0.92)t
Step-by-step explanation:
calculate the rise and run to find the slope of each line
A company rents out 15 food booths and 20 game booths at the county fair. The fee for a food booth is $100 plus $5 per day. The fee for a game booth is $50 plus $7 per day. The fair lasts for 'd' days, and all the booths are rented for the entire time. Write and simplify an expression for the amount in dollars the the company is paid.