Which expression is equivalent to(3m^-2 n)^-3/6mn^-2? Assume
To simplify the expression (3m⁻² n)⁻³/6mn⁻², follow the steps: apply the negative exponent rule, simplify by multiplying the exponents, and rearrange and combine like terms if necessary.
Explanation:To simplify the expression (3m-2 n)-3/6mn-2 , let's break it down step by step:
Step 1: Apply the negative exponent rule. To do this, we can move any term with a negative exponent from the numerator to the denominator or vice versa. In this case, the term m-2 can be written as 1/m2.
Step 2: Simplify the expression by multiplying the exponents. The exponents in the expression can be added since they have the same base (m).
Step 3: Simplify further by rearranging and combining like terms if necessary.
Putting it all together, the expression is equivalent to (1/3m4n6)1/6mn-2.
Rashad draws a figure and divides it into equal parts. Two of the parta are red. The other 4 parts are blue. Rashad saya that 2/4 of the figure is red. What error is he making? Explain. Then write the correct fraction of the figure that is red.
Answer:
Step-by-step explanation:
What is the area of a sector with a central angle of 5pi/7 radians and a diameter of 5.6 in.? Use 3.14 for pi and round your final answer to the nearest hundredth.
PLEASE SOMEONE HELP!!
IS THE CHOICE I PICKED CORRECT??
IF NOT, PLEASE TELL ME WHICH ONE IT IS??
What is the area of this triangle A=bh2
Please help if you do not know the answer don’t comment in the answer box just for points
The box plots show the distributions of daily temperatures, in °F, for the month of January for two cities.
Which statements are true about the distributions? Check all that apply.
a. Both distributions are symmetric.
b. Both distributions are skewed right.
c. Both distributions are skewed left.
d. The mean and standard deviation would be the best measures to compare the data.
e. The median and IQR would be the best measures to compare the data.
Hey, the answers are
Both distributions are skewed right.
The median and IQR would be the best measures to compare the data.
That is B and E
Nelly owns farm land that has an area of 4.2 × 102 acres. Each year, the farm produces 6.72 × 104 bushels of corn. What is the average amount of corn produced per acre represented in scientific notation?
A) 2.82 × 107 bushels per acre
B) 1.6 × 102 bushels per acre
C) 1.6 × 103 bushels per acre
D) 2.82 × 106 bushels per acre
E) 1.6 × 101 bushels per acre
The average amount of corn produced per acre represented in scientific notation can be found using the below formula:
[tex] The \;average\; amount\; of\; corn\; per\; acre=\frac{Bushels \; of\; corn\; produced\; in\; farm}{Area\; of\; farm\; in\; acres} [/tex]
We are given:
[tex] Area \; of\; FARM\; land= 4.2 \times 10^2 \; acres\\ \\ Amount \; of\; corn\; produced=6.72\; \times \; 10^4 \; bushels [/tex]
Substituting the above information in the formula, we get...
[tex] The \; Average\; amount\; of\; corn=\frac{6.72 \times 10^4}{4.2 \times 10^2} \\ \\ \frac{6.72}{4.2} \times \frac{10^4}{10^2}\; =\; 1.6 \times 10^{4-2}\; =\; 1.6 \times 10^2\\ \\ [/tex]
Conclusion:
[tex] The \; Average \; amount\; of \; corn \; is\; 1.6 \times 10^2 \; Bushes\; per\; corn [/tex]
The average amount of corn produced per acre represented in scientific notation is option B)[tex] 1.6 \times 10^2 [/tex]bushels per acre
Le answer is B 1.6 × 102 bushels per acre
Solve the system of equations using the linear combination method.
{5m+3n=41
3m−6n=9
Enter your answers in the boxes.
m =
n =
Solve the system of equations using the linear combination method.
{6g+8h=40
−6g+2h=−20
Enter your answers in the boxes.
g =
h =
Solve the system of equations using the linear combination method.
{9x+5y=35
2x+5y=0
Enter your answers in the boxes.
x =
y =
Answer:
1. n=2 and m=7
2. g =4 and h =2
3. x=5 and y=-2
Step-by-step explanation:
I took the test
Sandra got a 3/27 balloon mortgage and her initial payments were $945. She decided to refinance her balloon payment with a 30-year mortgage and her new payments were $937. What is the total financed cost she paid for her house?
Sandra got a 3/27 balloon mortgage and her initial payments were $945.
This means Sandra paid $945 per month for 3 years. Total payment made in 3 years = 945*3*12 = $34,020
Later, she decided to refinance her balloon payment with a 30-year mortgage. Her new payments were $937.
Payment made under mortgage = 937 * 30 * 12 = $337,320
The total financed cost she paid for her house = $34020 + $ 337320 = $371340
Hope this helps..!!
Thank you :)
Which of the following situations models a geometric sequence? Select all that apply.
Answer:
Options 1, 3, 4.
Step-by-step explanation:
We will check each and every option given here.
1) Amount of cell phone users increases by 33% every year.
Its a geometric sequence because the number of users are increasing exponentially every year.
2) Amount of cakes in bake sale increases by 3 each year the fundraiser is held.
amount of cakes is increasing with a common difference of 3 so it's an arithmetic sequence.
3).Uranium loses half of its weight every 415 years.
Exponential decay in every 415 years. So geometric sequence with a common ratio of 1/2.
4).A family of rabbits doubles in size every 3 months.
Exponential series again so geometric sequence with a common ratio of 2.
5).Car drives at a constant speed of 58 mph.
Its a linear function representing an arithmetic sequence with a common difference of 58 mph.
6). Number of students increases by 122 every year.
An arithmetic sequence with a common difference of 122.
7). Number of pieces of chalk in a class room decreases by 10 throughout the school year.
It's an arithmetic sequence having common difference of 10.
Amount of cell phone users increase by 33% every year. Uranium loses half of its weight every 415 years. A family of rabbits doubles in size every 3 months. Then the correct options are A, C, and D.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r.
Then the sequence would look like
a, ar, ar², ar³,..... (till the terms to which it is defined)
Amount of cell phone users increase by 33% every year.
It's a geometric sequence because the number of users is increasing exponentially every year.
Uranium loses half of its weight every 415 years.
Exponential decay every 415 years. So geometric sequence with a common ratio of 1/2.
A family of rabbits doubles in size every 3 months.
Exponential series again so geometric sequence with a common ratio of 2.
Then the correct options are A, C, and D.
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Factor x2 – 3x – 28. Identify the values that should be written to complete the X diagram. On the top: On the bottom: On the sides: Rewrite the expression using the numbers on the sides of the X diagram. Use double grouping to factor the four terms. x2 – 3x – 28 =
-28
-3
-7 and 4
(x-7)(x+4)
Which example best represents balanced forces
The forces are equal and opposite, the book remains at rest, representing a state of balanced forces.
Balanced forces occur when the net force acting on an object is zero, meaning that the forces are equal in magnitude and opposite in direction. As a result, the object remains in a state of equilibrium and does not accelerate.
One example that best represents balanced forces is:
A book resting on a table.
When a book is placed on a table, it doesn't move because the force of gravity pulling it down (its weight) is balanced by the normal force exerted by the table, pushing the book upward.
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Which algebraic expression is equivalent to the expression below? (7x - 15) + 15
a. 7x - 30
b. 7x
c. 105x
d. 7x + 30
Blue and white tiles are used to decorate a wall. The ratio of blue to white tiles is 7:2. There were 180 tiles used in all. How many blue tiles were used?
Write two operations in order that you would use to solve the equation 3x - 2=7 then solve the equation
Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle B measures 19 degrees. Find the measure of angle H.
42
19
119
29
Average Monthly Temperature Month Temperature January 45 degrees February 42 degrees March 54 degrees April 62 degrees May 78 degrees June 85 degrees July 92 degrees August 94 degrees September 89 degrees October 78 degrees November 65 degrees December 54 degrees The average monthly temperatures for the city of Mathville are given in the chart above. One year was particularly warm, and the average temperature each month increased by 5°. What did this do to the average yearly temperature? A) The average remained the same. B) The average increased by 5°. C) The average decreased by 5°. D) The average increased by 60°.
(02.01 LC) Solve: negative 1 over 2 x + 3 = −x + 7 (5 points) 1 over 2 8 −8 2
Answer:
2 8 -8 2
Step-by-step explanation:
The correct answer is [tex]-\frac{1}{2}x + 3 = -x + 7$ is $x = 8[/tex].
To solve the equation [tex]-\frac{1}{2}x + 3 = -x + 7[/tex], we can follow these steps:
Step 1: Combine like terms on both sides of the equation.
[tex]-\frac{1}{2}x + 3 = -x + 7[/tex]
[tex]\frac{1}{2}x - 3 = x - 7[/tex]
Step 2: Subtract [tex]x[/tex] from both sides to isolate the terms with [tex]x[/tex].
[tex]\frac{1}{2}x - 3 - x = -7[/tex]
[tex]-\frac{1}{2}x - 3 = -7[/tex]
Step 3: Add 3 to both sides to isolate the term with [tex]x[/tex].
[tex]-\frac{1}{2}x = -4[/tex]
Step 4: Multiply both sides by [tex]-2[/tex] to solve for[tex]x[/tex].
[tex]-2 \left(-\frac{1}{2}x\right) = -2(-4)[/tex]
[tex]x = 8[/tex]
Therefore, the solution to the equation [tex]-\frac{1}{2}x + 3 = -x + 7$ is $x = 8[/tex]
I need help please with this math problem
Which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y?
5y = 2
5y = 10
11y = 2
11y = 10
Answer:
paxx17 is correct.
Step-by-step explanation:
I got the question correct because of them.
The perimeter of an isosceles triangle is 14 cm. One of its sides is twice longer than another of its sides. Find all sides of the triangle.
Answer:
Step-by-step explanation:
2.8, 5.6, 5.6
Let A = 40. If B is complement of A, and C is a supplmenet of B, what is B+C?
A. 60
B. 150
C. 180
D. 210
You are working on a proof. You know that A and B are on the perpendicular bisector of CD. What can you conclude? A) AC = BD B) CB = AD C) AC = AD D) AB = CD
The circus is coming to town. Cindy is selling tickets. The first day she sold 8 adult tickets and 5 children tickets for a total of 177.50 in sales. The second day she received $255.00 for 12 adult tickets and 6 children tickets.
m ∠ U = (2x−5)° and m ∠W = (x+38)°What is m ∠W?
Question 1 options:
49°
180°
87°
90°
Four bars of soap cost $1.12. What would you pay for 2 dozen bars? (1 dozen=12)
A cylinder has a base radius of 10cm and a height of 19cm. What is its volume in cubic cm, to the nearest tenths place?
which cream cheese has the lowest price per ounce?
A: $2.59 for 6oz
B: $2.89 for 8 oz
C: $4.29 for 12 oz
D: $5.29 for 14 oz
Answer:the correct answer is $4.29 for 12 oz.
Step-by-step explanation:
The cream cheese which has the lowest price per ounce is the one which is $4.29 for 12 oz. Thus, the correct option is C.
What is Ounce?The ounce is any of the several different units of mass, weight or volume and it is derived almost unchanged from the uncia, unit of measurement.
The ounce is 1/16 avoirdupois pound. This is the United States customary and British imperial ounce. Ounce is primarily used in the United States to measure packaged foods and food portions, areal density of fabric and paper, boxing gloves, and so on, but it is sometimes also used elsewhere in the Anglosphere.
The price for per ounce of different cream cheese will be:
a. 2.59/ 6 = 0.431
b. 2.89/ 8 = 0.361
c. 4.29/ 12 = 0.357
d. 5.29/ 14 = 0.377
Therefore, the cream cheese which has the lowest price per ounce is the one which costs $4.29 for 12 oz.
Therefore, the correct option is C.
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Which property is illustrated by this problem?
53.2 • 1 = 53.2
A. Associative property of multiplication
B. Multiplicative identity
C. Commutative property of multiplication
The diagonals of an isosceles trapezoid are not congruent. true or false