simplify 9p^4 + 11q^4- q^4
Answers
Explanation
\(9p^4+11q^4-q^4\)Step 1
in this expression, we can add similar terms:(same base and same exponent)
\(\begin{gathered} 9p^4+11q^4-q^4 \\ 9p^4+10q^4 \end{gathered}\)I hope this helps you
Related Questions
The triangles are similar by...A. AA PostulateB. SAS postulateC. SSS postulateThe value of X is....
Answers
The triangles are similar by the AA postulate, since one of the angles is a right angle and other is vertically opposite they are equal, so the other angle should be equal too.
Since the triangles are similar the ratio
\(\frac{50}{80}=\frac{5}{8}\)should hold for every side, then:
\(\frac{5}{8}=\frac{30}{x}\)Solving for x we have:
\(\begin{gathered} \frac{5}{8}=\frac{30}{x} \\ x=\frac{30}{\frac{5}{8}} \\ x=48 \end{gathered}\)Therefore, x=48.
A fish tank has 8 goldfish, 6 tetras, 5 snails, and 2 platies. What is the ratio of tetras to platies?
A. 6/2
B. 2/8
C. 2/6
D. 8/6
Answers
A. 6/2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and ^ to indicate an exponent.
Simplify the expression .
(3x^2y^-3)^3 divided by 27(xy)^-9
The simplified expression is .
Answers
The simplified expression after the division is x¹⁵.
Given an expression,
(3x² y⁻³)³ divided by 27 (xy)⁻⁹
We have to find the simplified form of the expression.
To simplify this, we have to know the basic rules in the operation of exponents.
Division rule of exponents is xᵃ / xᵇ = xᵃ⁻ᵇ
Multiplication rule of exponents is xᵃ . xᵇ = xᵃ⁺ᵇ
Power of power rule is (xᵃ)ⁿ = xᵃⁿ
Given expression is,
(3x² y⁻³)³ / 27 (xy)⁻⁹
This can be written as,
(3x² y⁻³)³ / 27 (xy)⁻⁹ = 27 x⁶ y⁻⁹ / 27 x⁻⁹ y⁻⁹
Cancelling the same terms in the numerator and denominator,
(3x² y⁻³)³ / 27 (xy)⁻⁹ = x⁶ / x⁻⁹
= x⁶ ⁻ ⁽⁻⁹⁾
= x¹⁵
Hence the simplified form is x¹⁵.
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Draw the net and calculate the surface area .
Answers
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
Now write the numbers 1 through 10 using exactly four 4s.
Value
Expression using four 4s
1
I
2
3
4
5
6
7
8
9
10
Answers
Answer:
Step-by-step explanation:
This is an algebraic question type where we express the identity of each number using exactly four 4s method order of operation.
So, Expression using four 4s.
1 = (4 ÷ 4) ÷ (4 ÷ 4)
2 = ( 4 ÷ 4 ) + ( 4 ÷ 4)
3 = ( 4 + 4 + 4 ) ÷ 4
4 = 4 + 4 ( 4 - 4 )
5 = ((4 × 4) +4) ÷ 4
6 = 4 +( (4+4) ÷ 4)
7 = (4+4) - ( 4 ÷ 4 )
8 = (4 × 4) - 4 - 4
9 = 4 + 4 + ( 4 ÷ 4)
10 = ( 44 - 4 ) ÷ 4
Answer:
1 = (4÷4) + (4-4)
2= (4-4)+(4-
√4)
3= (4+4+4)÷4
4= (√4+√4)+(4 - 4)
5= (4+√4)-(4÷4)
6= (4-4)+(4+√4)
7= (4+4)+(4÷4)
8= (4*√4)-(4 - 4)
9= (4+4)+(4÷4)
10=(4 -√4)+(4*√4)
Step-by-step explanation:
The
√4 = 2 and that helps to most of the equations
For Field Day, the 72 students in fourth grade will be divided into tears with the same number of students on each team. The 60 students in third grade will be divided into teams that each have the same number of students as the fourth grade teams. What is the largest number of students that a team could have? Help meeee
Answers
We do this because the factors are the numbers determining the number of people and the number of teams, for example if they used the factors 6 and 10 for 60, they would make 6 teams of 10 people. And since factors are whole numbers, it makes sense for people and doesn’t cut ppl in half.
So the greatest factor that 72 and 60 gave have in common is 12, bc 5 x 12 is 60 and 6 x 12 is 72, and they don’t have other factors in common that are higher than 12.
This means that 12 is the answer, bc it’s the largest number of students that a team could have, in both the fourth and third grades.
PLS HELP ME!!!! use the properties of exponents to simplify the expression
Answers
Answer: 3
(27^1/2)2/3
So this means you multiply the exponents.
27^2/6
Simplify that 27^1/3
So cubed root of 27 is three.
Answer:
According to Indices
(a⁴)²... The exponents will multiply each other to give (a⁶)
Using this here
The two Index would Multiply to give
½ x ⅔ = ⅓
= (27)⅓
Any Number to the Index of ½ simply means its Square root
so also...
Any Number to the index of ⅓ means its cube root...
Cube root of 27 = 3.
So
Option B is your answer.
Please solve this question
Answers
The correct order from least to greatest is log₂ 26, log₂ 33, log 26, eln 4, the correct option is D.
We are given that;
The logs log, 26, log, 33 and log3 26
Now,
We can simplify these expressions using the following identities:
eln x = x
log a a = 1
log a (b × c) = log a b + log a c
log a (b / c) = log a b - log a c
Using these identities and the properties of logarithms listed above, we can compare the given expressions as follows:
A. eln 4 = 4; log 26 < log 33; so we have:
4 < log 26 < log 33
B. eln 4 = 4; so we have:
log 33 < 4 < log 26 < log 26
C. eln 4 = 4; so we have
log₂ 26 < log 26 < log 33 < 4
D. eln 4 = 4; so we have:
log₂ 26 < log₂ 33 < log 26 < 4
Therefore, by logarithm the answer will be log₂ 26, log₂ 33, log 26, eln 4.
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SOMEONE HELP ASAP! PLEASE EXPLAIN IN DEPTH!
Find the area. You must show all work to receive credit. (10 points)
Figure ABCDEF is shown. A is located at negative 5, negative 8. B is located at 1, negative 8. C is located at 3, negative 5. D
Answers
The area of the figure is 51.4 unit²
The complete questionFigure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6
See attachment for the figure
The area of the figureThe figure can be divided into the following shapes:
Trapezoid 1: Opposite sides = (8 and 5) and height = 5Trapezoid 2: Opposite sides = (5 and 4.8) and height = 2Triangle: Base = 4.8 and height = 4The area of the trapezoid is:
Area = 0.5 * (Sum of opposite sides) * height
So, we have:
Trapezoid 1 = 0.5 * (8 + 5) * 5 = 32.5
Trapezoid 2 = 0.5 * (5 + 4.8) * 2 = 9.8
The area of the triangle is:
Area = 0.5 * Base * Height
This gives
Triangle = 0.5 * 4.8 * 4 = 9.6
Add the individual areas
Area = 32 + 9.8 + 9.6
Evaluate the sum
Area = 51.4
Hence, the area of the figure is 51.4 unit²
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Please answer ASAP my assigned due tomorrow WORTH 15 POINTS
Answers
Answer:
$7.74
Step-by-step explanation:
The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.
For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.
This means that we can add these values together to get the minimum amount that the school needs to earn
\(1137.50+1500=2637.50\)
Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.
\(\frac{2637.50}{350} =7.7357=7.74\)
This means that the school needs to sell these books for at least $7.74
(... This fictional school is selling the books for more than double the price they paid for them...)
What number is missing from this factor tree for the prime factorization of 328?
A. 39
B. 41
C. 42
D. 82
Answers
328
/ \
2 164
/ \
2 82
/ \
2 41
Answer: Your Answer Is A) 41
Step-by-step explanation:
328
^
2 x 164
^
2 x 82
^
2 x 41need help in pre algebra plz
Answers
Answer:
the first one is c
Step-by-step explanation:
i did just did it
please help 3/4 divided by 1/8
Answers
Answer:
6
Step-by-step explanation:
please help 3/4 divided by 1/8
3/4 : 1/8 =
3/4 x 8 =
24/4 =
6
Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9
Answers
Answer:
\(y = \frac{2}{3} x - 3 \frac{2}{3} \)
Step-by-step explanation:
Let's rewrite the given equation in the form of y= mx +c, where m is the gradient while c is the y-intercept.
2x -3y= 9
3y= 2x -9
Divide by 3 throughout:
\(y = \frac{2}{3} x - 3\)
Thus, the gradient of given line is ⅔.
Parallel lines have the same gradient.
Therefore, gradient of line is ⅔.
Substitute m=⅔ into the equation:
\(y = \frac{2}{3} x + c\)
To find the value of c, substitute a pair of coordinates.
When x=4, y= -1,
\( - 1= \frac{2}{3} (4) + c \\ - 1 = \frac{8}{3} + c \\ c = - 1 - \frac{8}{3} \\ c = - 3 \frac{2}{3} \)
Substitute the value of c:
\(y = \frac{2}{ 3} x - 3 \frac{2}{3} \)
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Rewrite the expression with a rational exponent as a radical expression.
(3 2/3)1/6
Answers
Answer:
\(82 = 525y2 \times 6112 =\)
Hiking
(15,18
(10, 12)
Distance (miles)
15,6
10
15
Time
Using the data shown on the graph, which sztements are correct?
The
3
The ratio of L is consistent
The graph represents a proportional relationship
D
The grach does not represent a proportional relationship
The graph of a proportional relationship must past through. (0,0)
Answers
Answer:
I’m sorry but I don’t understand the question
Step-by-step explanation:
HELP PLZZZ!!!!!! which equation represent the model?
1. s+12+30
2.s+4+= 30
3. 3s +4= 30
4. 3(s+4) =30
the model is
3 boxes of s+4
30
Answers
The answer is 3(s+4)=30 .
And for the second part the answer is 6.
There are 63 students in band. This represents 30% of the grade. How many students are in the entire grade
Answers
So, the question is 63 is 30% of what number?
That can translate to the equation
63 = 30% · x or 63 = 0.3x
Divide by 0.3 and you get x = 210.
There are 210 students in band.
Answer:
210 students
Step-by-step explanation:
210 x (3/10) = 63
6 minutes 20 seconds into seconds.
Answers
Answer:
380 seconds
Step-by-step explanation:
Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360
Now add the 20 seconds.
360 + 20 = 380
6 minutes and 20 seconds are equal to 380 seconds.
Find the function that corresponds to this inverse functionf(x)=3x+1/-5x-2, x ≠ -2/5
Answers
Answer::
\(f^{-1}(x)=-\frac{1+2x}{3+5x},x\cancel{=}-\frac{3}{5}\)Explanation:
We want to find the function that corresponds to the inverse function:
\(f(x)=\frac{3x+1}{-5x-2},x\cancel{=}-\frac{2}{5}\)To do this, we find the inverse of f(x).
In order to find the inverse of f(x), follow the steps below:
Step 1: Replace f(x) with y:
\(y=\frac{3x+1}{-5x-2}\)Step 2: Swap x and y
\(x=\frac{3y+1}{-5y-2}\)Step 3: Make y the subject of the equation:
\(\begin{gathered} \text{ Cross multiply} \\ x(-5y-2)=3y+1 \\ \text{ Open the bracket on the left side:} \\ -5xy-2x=3y+1 \\ \text{ Bring all the terms containing y to one side of the equation.} \\ -5xy-3y=1+2x \\ \text{ Factor out y} \\ y(-5x-3)=1+2x \\ \text{ Divide both sides by }-5x-3 \\ y=\frac{1+2x}{-5x-3} \end{gathered}\)Step 4: Replace y the inverse of f(x).
\(f^{-1}(x)=\frac{1+2x}{-5x-3}=\frac{1+2x}{-(5x+3)}=-\frac{1+2x}{3+5x}\)The function that corresponds to the given inverse function is:
\(f^{-1}(x)=-\frac{1+2x}{3+5x},x\cancel{=}-\frac{3}{5}\)Find the volume of the solid which is made up of two prisms. 5 in. 9 in. 12 in. 18 in.
Answers
Answer:
1350 in. cubed
Step-by-step explanation:
to find the volume you multiply length, width and height
Answer:
1350cm^p3
Step-by-step explanation:
This solid is cuboid So the volume = length * width * hightLength = 12+18=30. Width = 5. Height =9Volume = 30 * 5 * 9 = 1350In art class students are mixing blue and red paint to make purple paint. Isaiah mixes 3 cups of blue paint and 7 cups of red paint. Casho mixes 4 cups of blue paint and 13 cups of red paint. Use Isaiah and Casho's percent of red paint to determine whose purple paint will be redder.
Answers
Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.
To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.
Isaiah's Ratio:
Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.
To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:
Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%
Casho's Ratio:
Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.
To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:
Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)
Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).
Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.
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The table below shows the number of tickets sold per
day for a Sadie Hawkins dance. The gym can hold 600
people. The final day of ticket sales is Thursday. Find
the most number of tickets they can sell on Thursday.
#
Day Tickets
Sold
MON 198
TUES 96
WED 204
Answers
Answer:
102 tickets
Step-by-step explanation:
start by adding
Mon 198
Tues 96
We'd 204
then you would get 498 and max people that can fit in the gym is 600 so then you would subtract 600-498 and get 102 so the maximum amount of tickets they can sell on Thursday is 102 tickets
Please help! Will give brainliest
Answers
\(1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}\)
we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.
Select the correct name in the table.
A teacher arranged some pencils on her desk as shown below and asked her students what concept the pencils demonstrated.
Allie said the pencils are an example of perpendicular lines.
Caryl said the pencils are an example of perpendicular segments.
Frank said the pencils are an example of parallel lines.
Hector said the pencils are an example of parallel segments.
Morgan said the pencils are an example of lines that are neither parallel nor perpendicular.
Terrence said the pencils are an example of segments that are neither parallel nor perpendicular.
Which student answered correctly?
Allie Caryl Frank
Hector Morgan Terrence
Answers
The person that is correct among the students is Frank who said the pencils are an example of parallel lines.
What are parallel lines?Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.
Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.
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Convert to a fraction in SIMPLEST form.
6.2
Answers
Answer:
\(6\frac{1}{5}\) or \(\frac{31}{5}\)
Step-by-step explanation:
Answer:
31/5 OR 6 1/5 (Depends if your teacher wants an improper fraction or a mixed number.)
Step-by-step explanation:
First, rewrite the decimal as a fraction with 1 as the denominator.
6.2 = 6.2/1
Nest, multiply to remove one decimal place so it's easier to solve.
6.2 x 10 = 62 and 1 x 10 = 10 so... that would be 62/10
Find to GCF of both 62 and 10, or in other words something that they are both divisible by. That would be 2, and now you can simplify the fraction further.
62/2 = 31 and 10/2 = 5 so that would be 31/5, which is 6 1/5 as a mixed number.
I hope this was useful!! :)
Find the value of X.
WILL GIVE BRAINLIEST!
Answers
Answer:
36
Step-by-step explanation:
Angles in a triangle sum to 180 degrees.
The angle in the bottom left will equal 180 - (3x + 6) as angles along a staight line also sum to 180 degrees.
180 - ( 3x + 6)
180 - 3x - 6 [expand bracket]
174 - 3x
Now we can add up all the angles and equate them to 180 to solve for x.
24 + 2x + 18 + 174 - 3x = 180
216 - x = 180
216 = 180 + x
x = 36
825 use each digit once. make the smallest 3digit number
Answers
Step-by-step explanation:
Given: To make smallest 3-digit number of 825.
To find: The smallest 3-digit number of 825.
Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...
Final answer: The smallest 3-digit number of 825 is 258.
hope it helps
Answer:
258
Step-by-step explanation:
We are given 3 numbers:
8 2 5
And we are asked to find the smallest 3 digit number using those 3 digits above.
To make the smallest number, place the numbers in value from least to greatest:
2 5 8
This is your 3 digit number: 258.
Hope this helps! :)
D'marjay is going to flip a coin 4 times. What is the fractional probability that it will be two heads and two tails (in any order)?
Answers
Answer:
3/8 or6/16
Step-by-step explanation: