Answers
Answer:
See below
Step-by-step explanation:
[tex]1) : {a}^{5} {b}^{4} {c}^{3} \div {a}^{2} {b}^{3} c \\ \\ = {a}^{5 - 2} {b}^{4 - 3} {c}^{3 - 1} \\ \\ = {a}^{3} {b}^{1} {c}^{2} \\ \\ = {a}^{3} {b} {c}^{2} \\ \\ \\
2)\: (x^2 y^3)^3\\\\
= x^{2\times 3}y^{3\times 3}\\\|
= x^{6}y^{9}\\\\\\
3)\:5 {a}^{4} \div ( {a}^{2} \times 3a) \\ \\ = 5 {a}^{4} \div (3 {a}^{2 + 1} ) \\ \\ = 5 {a}^{4} \div (3 {a}^{3} ) \\ \\ = \frac{5}{3} {a}^{4 - 3} \\ \\ = \frac{5}{3} {a} \\ \\ \\
4)\: \frac{14 {a}^{5} }{2 {a}^{3} \times 7 {a}^{4} } \\ \\ = \frac{14 {a}^{5} }{2 \times 7 {a}^{3 + 4} } \\ \\ = \frac{ \cancel{14} {a}^{5} }{ \cancel{14}{a}^{3 + 4} } \\ \\ = \frac{ {a}^{5} }{ {a}^{7} } \\ \\ = {a}^{5 - 7} \\ \\ = {a}^{ - 2} \\ \\ = \frac{1}{{a}^{2} } \\ \\ [/tex]
Answer:
1. [tex]a^{5} b^{4}c^{3}:a^{2}b^{3}c=a^{3}bc^{2}[/tex]
2. [tex](x^{2}y^{3})^{3} =(x^{2} )^{3}(y^{3})^{3}=x^{6}y^{9}[/tex]
3. [tex]5a^{4}:(a^{2}*3a)=\frac{5a^{4} }{a^{2}*3a } =\frac{5a^{2} }{3a} =\frac{5a}{3}[/tex]
4. [tex]\frac{14a^{5}} {2a^{3}*7a^{4}} =\frac{2a}{2a^{3} }=\frac{1}{a^{2} }[/tex]
Related Questions
Solve the system.
x + y - 3z = -20
-3y + 2z = 5
z = 4
Enter your answer as an ordered triple.
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Answers
Step-by-step explanation:
Subtract 2z2z from both sides of the equation.
x−2y+z=1x-2y+z=1
y=5−2zy=5-2z
x+y+3z=8x+y+3z=8
Replace all occurrences of yy with 5−2z5-2z in each equation.
x−2(5−2z)+z=1x-2(5-2z)+z=1
y=5−2zy=5-2z
x+5−2z+3z=8x+5-2z+3z=8
Simplify each equation.
x−10+5z=1x-10+5z=1
y=5−2zy=5-2z
x+5+z=8x+5+z=8
Move all terms not containing xx to the right side of the equation.
x=11−5zx=11-5z
y=5−2zy=5-2z
x+5+z=8x+5+z=8
Replace all occurrences of xx in x+5+z=8x+5+z=8 with 11−5z11-5z.
x=11−5zx=11-5z
y=5−2zy=5-2z
(11−5z)+5+z=8(11-5z)+5+z=8
Simplify (11−5z)+5+z(11-5z)+5+z.
x=11−5zx=11-5z
y=5−2zy=5-2z
−4z+16
Answer: (-9, 1, 4)
Step-by-step explanation:
its right on acellus
Write equation line that passes through (2,2) and is parallel to line y=3x+9
An equation of parallel line is y=___
Answers
Answer:
Step-by-step explanation:
The slope is in the given line. It is the number in front of the x which is 3.
So far what you have is
y = 3x + b
Now use the point to find b
x = 2
y = 2
Substitute
y = 3*2 + b
2 = 6 + b
2 - 6 = b
b = - 4
y = 3x - 4
what is the percent 12 of 30
Answers
40%
We get: 40% of 30 is 12.
Is this true?
Yes! 40% of 30 = (0.4)(30) = 12
What is the input for which g(x)=3
x=
Answers
What’s the slope of this equation
Answers
Answer:
it is 4
Step-by-step explanation:
the slope is always the number in front of the X
whats the sum of the interior angle measures of a 5-gon.
Answers
Explanation:
solve the literal equation for f: - 3f = g for f
A.f=g/-3
B.g+3=f
C.f=g-3
Answers
Answer:
i think its a
Step-by-step explanation:
Write an equation in point slope form for each line.
(1,6) and (2,3)
Answers
Question
How do you write the equation of a line in point slope form and slope intercept form given point (6, -3) and has a slope of 1/2?
Answer · 0 votes
Point-Slope Form is y+3=12(x−6) Slope-Intercept Form is y=12x−6 Explanation: .
Help for Math in attachment pls for final
Answers
which statements are true check all that apply please help
Answers
Answer:
a c and d
Step-by-step explanation:
lmk if you need work
and remember that when it is negative, the value that is closer to 0 is greater
Write the equation of the line given the slope and the point that it passes through.
m = 2/7
point = (1, 2)
Answers
Answer:
slope (m)= 2/7
X1= 1
y1= 2
formula from equation of the line:
1. Y2 - Y1/ X2 - X1 ( if you know 2 point )
2. y - y1 = m × ( x - x1 ) (if you know the slope and 1 point )
3. mx + c = y ( if you know the slope and the y-axis )
because the known gradient and 1 point, then use the formula number 2.
let's get into the formula:
y - y1= m × (x -x1)
y - 2 = 2/7 × ( x - 1 )
y - 2 = 2/7x - 2/7
y= 2/7x - 2/7 + 2
y = 2/7x + 12/7
The graphs below have the same shape what is the equation of the blue graph
Answers
Answer: g(x) = (x-2)^2 + 1. Choice C
===========================================================
Explanation:
The graphs have the same shape, which means they have the same 'a' value.
In this case, a = 1.
The vertex of the red graph is (0,0).
The vertex of the blue parabola is (2, 1)
The red curve has been shifted 2 units to the right and 1 unit up.
Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.
Plug a = 1, h = 2 and k = 1 to get...
y = a(x-h)^2 + k
y = 1(x-2)^2 + 1
g(x) = (x-2)^2 + 1
Answer:
C.
Step-by-step explanation:
Since the blue graph shifted up by 1 unit, it would be +1 at the end of the quadratic function. Then, because the graph also shifted to the right 2 units, the blue graph subtracts from f(x)=x^2 (it does the opposite).
juan has $1.30 in dimes and nickels he has a total of 15 coins how many dimes does juan have
Answers
Answer:
11 dimes and 4 nickles
Step-by-step explanation:
Answer:
11 dimes equals 1.10 and 4 nickels equals 20 cents
Step-by-step explanation:
Write a line function with a slope of 5 that passes through the point of (2,1)
Answers
Answer: 5x - 9
Hope this helps :)
Answer:the other one is wrong
Step-by-step explanation:5x - 9is wrong
using y=mx+b find the slope for
x + 2y = -8
Answers
Answer:
y=1/2x-4
Step-by-step explanation:
y = –A system of equations. y equals negative StartFraction one-half EndFraction x plus 4. x plus 2 y equals negative 8.x + 4 x + 2y = –8 How many solutions does this linear system have?
Answers
Answer:
A
Step-by-step explanation: Took a quiz
A kitchen sink holds 24 gallons of water. A full sink drains at 3 gallons per minute. Which of the following tables best represents the situation?
(The pictures are as follows!)
Answers
Answer:b
we start with 24 but as we get to the first minute we have already lost 3 gallons and so on.
I need this done ASAP! I will give brainliest to the answer with the work shown for all problems. Or whichever is done the fastest with the work shown for all problems. I WILL REPORT ANY ANSWERS THAT DO NOT ANSWER MY QUESTION!
Answers
Please can someone explain place value to me. I failed in my test dunno how tho cause I studied place value in year 3 lol
Answers
Answer:
Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.
Step-by-step explanation:
does this help?
simplest radical form:
4.582575695
Answers
hahahahahahahahahahahahahahahaha
Fredrick and Kate have 17 1/3 cups of flour. They want to make loaves of banana bread for a bake sale. Fredrick has a recipe for banana bread that calls for 1 5/8 cups of flour. Kate has a recipe that calls for 1 3/4 cups of flour. Select all the statements that are true about the recipes.
Answers
Answer:
Will Fredericks recipe make 10 loaves?
Step-by-step explanation:
It is given that Fredick and Kate have flour [tex]$=17\frac{1}{3}$[/tex] cups
And Fredrik has a recipe where he calls for [tex]$1\frac{5}{8}$[/tex] cups of flour while Kate calls for [tex]$1\frac{3}{4}$[/tex] cups of floor.
So first we add the total cups of floor that they have
i.e. [tex]$17+\frac{1}{3} = \frac{52}{3}$[/tex]
Similarly cups of flour in the recipe of Fredrick = [tex]$1+\frac{5}{8}= \frac{13}{8}$[/tex]
Therefore, number of loaves that Fedrick can make is
[tex]$=\frac{\frac{52}{3}}{\frac{13}{8}}$[/tex]
[tex]$=\frac{52}{3 }\times \frac{8}{13}$[/tex]
[tex]$=\frac{32}{3}$[/tex]
= 10 .667
Therefore, with Fedrick's recipe, he can make 10 numbers of loaves.
In the figure below, what is the measure of AB?
Answers
Answer:
The measure of AB is 29
Step-by-step explanation:
If a line is drawn from a vertex of a triangle perpendicular to the opposite side to this vertex and bisects it, then the sides joining this vertex are equal in lengths
In Δ ABD
∵ Line AC ⊥ side BD
∵ BC = BD = 15
∴ C is the mid-point of The side BD
∴ Line AC is a perpendicular bisector of side BD
→ By using the rule above
∴ AB = AD
∵ AB = 5x - 11
∵ AD = 3x + 5
→ Equate them
∴ 5x - 11 = 3x + 5
→ Add 11 to both sides
∵ 5x - 11 + 11 = 3x + 5 + 11
∴ 5x = 3x + 16
→ Subtract 3x from both sides
∵ 5x - 3x = 3x - 3x + 16
∴ 2x = 16
→ Divide both sides by 2
∴ x = 8
→ Substitute the value x in the expression of side AB
∵ AB = 5(8) - 11
∴ AB = 40 - 11
∴ AB = 29
∴ The measure of AB is 29
Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.
Answers
Answer:
The 45th term is equal to -209.
Step-by-step explanation:
I got stuck on this question for six attempts. Therefore I started trying other methods. I started with a10=1 and then subtracted 6 to get a11=-5. I continued this process until I reached a45=-209
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The 45th term for the arithmetic sequence is -209.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
Given that the 10th term of the arithmetic series is 1, while the common difference of the arithmetic series is -6. Therefore, 10th term of the series can also be written as,
aₙ = a₁+(n-1)d
1 = a₁+(10-1)(-6)
1 = a₁ + (9)(-6)
1 = a₁ - 54
a₁ = 55
Now, the 45th term for the arithmetic sequence is,
aₙ = a₁ + (n-1)d
a₄₅ = 55 + (45-1)(-6)
a₄₅ = 55 - 264
a₄₅ = -209
Hence, the 45th term for the arithmetic sequence is -209.
Learn more about Arithmetic Sequence here:
https://brainly.com/question/3702506
#SPJ2
Dwayne ordered a set of purple and green pins. He received 35 pins in all. 28 of the pins were purple. What percentage of the pins were purple?
Answers
Answer:
28/35 = 4/5
Step-by-step explanation:
28 divided by 7 = 4
35 divided by 7 = 5
Find the measure of the numbered angle.
m∠3 =
Answers
Answer:
<3 = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180
<1 + 40 + 90 = 180
<1 + 130 = 180
<1 = 50
<1 and <3 are vertical angles and vertical angles are equal
The boundary line for the linear inequality goes through the points (-6,-4) and (3,-1). The point (9,1) is not a solution to this inequality and neither is (-4,7). Write and graph an inequality to represent the situation.
Answers
Answer:
y < [tex]\frac{1}{3}[/tex] x - 2
Step-by-step explanation:
Slope of the line m = [tex]\frac{-4+1}{-6-3}[/tex] = [tex]\frac{1}{3}[/tex]
y + 1 = [tex]\frac{1}{3}[/tex] (x - 3)
y = [tex]\frac{1}{3}[/tex] x - 2
Points (9, 1) and (- 4, 7) are not solutions, then
1 < [tex]\frac{1}{3}[/tex] (9) - 2
7 < [tex]\frac{1}{3}[/tex] (- 4) - 2
Thus, the inequality is y < [tex]\frac{1}{3}[/tex] x - 2
I was at a farm this farm raises cows and chickens I manage to count the number of heads and legs on the form I counted a total of 26 heads and a total of 62 legs can you figure out the number of cows and chickens the farmer has
Answers
Answer:
5 cows, 21 chicken
Step-by-step explanation:
5 cows; 20legs
21chickens; 42legs
26heads; 62legs
Which is the simplified from of p0
Answers
p ^ 0
By properties of exponents we have:
Any number raised to the exponent zero is equal to one.
We have then, that applying this property:
p ^ 0 = 1
Answer:
the simplified form of p ^ 0 is:
D. 1
Can someone help please
Answers
Answer:
C
____________
Step-by-step explanation:
4-3
6-5
8-6
10-4
13-3
PLEASE HELP ME ASAP IM CONFUSED!
Answers
Answer:
1. Given
2. Definition of a midpoint
3. Given (read below)
4. Veritcal Angles (I'm assuming since they are not complementary/add up to 90 degrees)
5. SAS (only one that makes the most sense)
Sorry, it's been a while since I did proofs, hope this helped! :)
Step-by-step explanation:
For #3 a given statement should typically be together so this is strange.