Answers
Answer:
∛27 = 3
Step-by-step explanation:
A radical is simply a fractional exponent: [tex]a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }[/tex]
Hence, ∛27 = [tex]27^{(\frac{1}{3})}[/tex]
Since 27 = 3³, then:
You could rewrite ∛27 as ∛(3)³.
[tex]\sqrt[3]{3^{(3)} } = 3^{[(3)*(\frac{1}{3})]}[/tex]
Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the multiplicative inverse of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.
Therefore, ∛27 = 3.
Related Questions
What is the value of x in the equation, 0.25x + 7 = 4(x – 2)
Answers
Answer:
4
Step-by-step explanation:
0.25x + 7 = 4(x-2)
0.25x + 7 = 4x - 8
0.25x - 4x = -7 - 8
-3.75x = -15
3.75x = 15
x = 4
Can anyone answer questions 10 A and B asap please
Answers
Problem 10, Part A
The larger outer square is x cm by x cm, where x is some placeholder for a positive number. For example, if x = 10, then we have a 10 cm by 10 cm square.
Unfortunately, we don't know what number replaces x.
What we can determine is the connection between the larger square and the smaller one. The frame is 3 cm wide in all directions (aka it's a uniform width). What this allows for is that the smaller square is x-6 by x-6. The 6 is from subtracting two copies of 3, so ultimately we're subtracting off 2*3 = 6 to form the smaller dimensions.
You can think of it like x-3-3 = x-6
So we need to expand out (x-6)(x-6) like so
(x-6)(x-6)
y(x-6)
xy - 6y
x(x-6) - 6(x-6)
x^2-6x - 6x+36
x^2-12x+36
In the second step, I replaced one copy of (x-6) with y, after which I used the distributive rule. After distributing, I plugged in y = x-6 and distributed again. The last step is combining like terms. As an alternative, you can use either the box method or the FOIL rule to find the answer.
The expression x^2-12x+36 is the expanded form of the area of the smaller square, which is the picture itself without the frame involved.
Answer: x^2 - 12x + 36===========================================================
Problem 10, Part B
We follow the same idea as the previous part. This time, we have a rectangle that isn't a square.
Along the horizontal, the (x+30) will drop to (x+30)-5-5 = x+20 when we consider just the picture without the frame. In other words, the smaller inner rectangle has a horizontal dimension of (x+20) cm.
The vertical component of this smaller rectangle is x-5-5 = x-10 cm
So,
area = length*width
area = (horizontal dimension)*(vertical dimension)
area = (x+20)(x-10)
area = y(x-10) ..... let y = x+20
area = xy - 10y ...... distribute
area = x(x+20) - 10(x+20) ... plug in y = x+20
area = x^2+20x - 10x - 200 ..... distribute again
area = x^2 + 10x - 200
Answer: x^2 + 10x - 200Side note: the units for this area, and for part A, are in square cm.
Name the marked angle in 2 different ways.
P
Q
N
Answers
Answer:
One way you can name it is ∠PQN. Another way is ∠NQP.
Step-by-step explanation:
Hope this helps!
how to solve it pls someine helpppppppp
Answers
Answer:
-6.5
Step-by-step explanation:
2n+3×6=5
2n+18=5
2n=5-18
2n= -13
n=-6.5
i hope it helps
what is equal to 16x103
Answers
Answer:
1648
Step-by-step explanation:
Let's use the distributive property:
(16 x 100) + (10 x 3) + (6 x 3) =
1600 + 30 + 18 = 1648
-Chetan K
Given m
|| n, find the value of x and y.
(4x-6)
(8x+18)
(y+3)
Answers
Step-by-step explanation:
(4x-6)+(8x+18) = 180°
12x+12 = 180
12x=168
x=14°........ ..(1)
8x+18=y+3.. (putting the value of x from equation1)
72+18-3=y
y= 87°
hope this helps you.
Maria can read 10 pages of a book in 25 minutes. How many pages can she read in 120 minutes?
Answers
Answer:
48
Step-by-step explanation:
25x4.8=120
10×4.8=48
I got 4.8 by doing this:
I already knew that 25×5 would equal 125.
but since they wanted 120, I instead multiplied 25 by 4 with decimals from 1-10 until I got 120, then I multiplied that with the 10 pages to get my answer.
Given: Triangle ABC with vertices A(-3,5), B(-2,2), and. C(-4,2)
Given: Triangle A’B’C with vertices A’(3,1), B’(4,-2), and C’(2,-2).
Write the rule to map Triangle ABC onto Triangle A’B’C
Answers
Subtract 4 from the y value and add 6 to the x value to get ABC to A'B'C'
PLEASE HELP DUE TODAY, WILL MARK BRAINLIST
Solve for the indicated variable. Include all of your work in your answer. Submit your solution.
Answers
Answer:
Step-by-step explanation:
first you would want to flip the equation then multiply 9 on both sides to get
5(F-32)=9C
Then you would want to divide both sides by 5 which crosses out the 5 from the equation and is moved to the other side which then were you simplify getting
F-32=9C/5
Lastly you want to add 32 to both sides causing - 32 to cross out getting
F=9C/5 +32
making F=9C/5 + 32 our answer
3.
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.
A. y = 45(x – 4); $180
B. y – 270 = 45(x – 2) ; $450
C. y = 45(x – 4); $270
D. y – 270 = 45x; $45
Answers
Answer:
B. y – 270 = 45(x – 2) ; $450
Step-by-step explanation:
In February, you have a balance of $270 in your bank account.
In January, you have a balance of $270 - $45 = $225 in your bank account.
In December, you have a balance of $225 - $45 = $180 in your bank account.
y = $180 + $45x, where x = 1, 2, 3, 4...
Balance in June: x = 6
y = $180 + $45x = $180 + $45×6 = $180 + $270 = $450
The complete question is:
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.
Answer:
$450 in June
Step-by-step explanation:
$X = 270 + 45 × ( number of month)
In this problem, February, the month you start with, would be month 0.
June would be 4.
$X = 270 + 45 × 4
= 270 + 180
= $450 in June
$450 in June.
Convert three core seventeenlakh ten thousand seven hundred eighty six
Answers
Answer:
31710786
Step-by-step explanation:
IF you meant it to convert into digits.
Please, Help me im in middle school so it might be easy for you.
Answers
Answer:
1/2
Step-by-step explanation:
Grafica de funciones f(x)=3x+2
Answers
Answer:
Step-by-step explanation:
Marca un punto en el 2 positivo de la línea y. La pendiente es 3/1. Comenzando en el punto que marcastes en la línea vertical “y”, tres subiendo y uno a la derecha, tres subiendo y uno a la derecha. Solamente hacen falta dos puntos para trazar una recta.
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
Answers
The 3rd option where it's at (-2,0) and going down.
Answer:
third one(from left) in first row
Step-by-step explanation:
-|x| is same as ^ and f(0)=-2
kevin uses a coupon for 75% off one item. he only pays $3.00 for a train set. how much money was the train set originally?
Answers
Answer:
$4.00
Step-by-step explanation:
75% of 4
75% × 4 =
75/100 × 4 =
(75 ÷ 100) × 4 =
75 × 4 ÷ 100 =
300 ÷ 100 =
= 3
Hope this helps.
A 81-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
Answers
Piece #2: 60.75 in
3(x + 2) = 2x + 5 justification/ reason
Answers
Answer:
x = -1
Step-by-step explanation:
3(x + 2) = 2x + 5
Use the distributive property on the left side.
3x + 6 = 2x + 5
Subtract 2x from both sides. Subtraction property of equality.
x + 6 = 5
Subtract 6 from both sides. Subtraction property of equality.
x = -1
Answer: 1
Step-by-step explanation: 3(x+2)=2x+5
3x+6=2x+5
-3x -3x
6=1x+5
-5 -5
1=1x
What can be used to explain a statement in a geometric proof
Answers
Answer:
corollary,postulate,theorem,definition
work out 5^-2 x cube root 8
Answers
Answer:
0.08
Step-by-step explanation:
5 ^-2 * cube root of 8
first of all, let us solve 5^-2
using the law of indices;
a^-2 = 1 / a ^2
following this law, we have;
5^-2 = 1 / 5^2
we know that 5^2 = 25
therefore,
5^-2 = 1 / 25
now, let is continue by solving the cube root of 8
now, there are three ways of solving this;
we could just simply think of any number that when multiplies itself three times times, it gives 8, or we could just simply use a calculator
regardless of what we use, we have to end up with the number 2 as the answer
leading is to our conclusion.
from all our solution, we have reduced our question to;
1 / 25 ( which is 5^-2) * 2 ( which is the cube root of 8 )
= 1 / 25 * 2 / 1
note that 2 is the same as 2 / 1. We put it like this when we want to carry out an operation on an integer ( e.g. 2) and and a fraction ( e.g. 1 / 25 )
so,
1 / 25 * 2 / 1 =
2 / 25 ( the two multiplies the 1 in 1 / 25 and the 25 multiplies the 1 in 2 / 1)
leaving our answer in decimal, we have;
0.08
hope this helps,
thanks!!!
What are the domain and range of this relationship?
Domain: {0, 1, 2, 3, 4, 5)
Range: {0, 12, 24, 36, 48, 60)
Domain: {0, 12, 24, 36, 48, 60)
Range: {0, 1, 2, 3, 4, 5)
Domain: {:10< 60}
Range: {y 0 Sy <5}
Domain: {r 10 SI<5}
Range: {y 10
Answers
Answer:
domain 0 ≤ y ≤ 72 and the range is 0 ≤ y ≤ 6
Step-by-step explanation:
Daisy’s flower shop sold 135,649 flowers during its first year. The second year, the shop sold additional 9,754 flowers. How many flowers did the shop sell in these two years?
Answers
Answer:
281052
Step-by-step explanation:
To solve for the second year we add 135,649 and 9754, because there is an additional amount of flowers. Then we add the flowers from the first year to get the total amount of 281052.
Evaluate the expression.
−5(−10−2(−3))2
What is the value of the expression?
Enter your answer in the box.
Answers
Evaluating the expression, [tex]-5(-10-2(-3))2[/tex] is equal to 40.
Given the following expression:
[tex]-5(-10-2(-3))2[/tex]To evaluate the given expression, we would apply BODMAS:
In this exercise, you're required to evaluate the given expression by simplifying it to its simplest form. Thus, we would have to apply BODMAS in order to achieve this.
In Mathematics, BODMAS is an abbreviation for the following:
BracketOfDivisionMultiplicationAddition SubtractionDealing with the brackets, we have:
[tex]-5(-10+6)2\\\\-5(-4)2\\\\20 \times 2 = 40[/tex]
Therefore, we have:
[tex]-5(-10-2(-3))2=40[/tex]
Read more on BODMAS here: https://brainly.com/question/24383445
Write 36 as a product of its prime factors. Write them In order smallest to largest.
Answers
If mZ1
=
31° what is the measure for m_2
?
Answers
Answer:
Measure 2 is 149
Step-by-step explanation:
Answer:
149°
Step-by-step explanation:
Since this is a supplementary angle to Angle measure 1, it makes the two equal 180. Your angle M2 = 149
Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
(2x+6)/5=4x−3
Answers
Answer:
x=7/6
Step-by-step explanation:
subtract the 4x from both sides of the equation
(2x+6)-4x=4x-3-4x
find common denominator
(2x+6)/5+(5(-4)x)/5=4x-3-4x
then combine fractions
(2x+6+5(-4)x)/5=4x-3-4x
then multiply the 5&4
(2x+6-20x)/5= 4x3-4x
combine terms
(-18x+6)/5= -3
then multiply everything by 5
-18x+6= -15
subtract the 6 from both sides
-18x= -21
divide -21 by -18
(-21)/(-18)=x
find greatest common multiple (3) and solve
x = 7/6
i am so confused pleassssss help meeeee
Answers
Step-by-step explanation:
2y+7-5y+6y-3+y=
(2-5+6+1)y +7-3 =
(4)y + 4 =
4y + 4
the others could be:
9y-5+9-5y
and
4y-1+2y-y-y+1+4
WILL GIVE BRAINLIEST
Find the value of x
Answers
Todd scored 132 points in 12 games. Terry scored 81 points in 8 games. Which rate is better?
Answers
Answer:
Todd I think if I'm wrong sorry
I need help with one more problem in algebra 1a
Answers
Answer:
A = 1/8 or -1/8
Step-by-step explanation:
How do you write 0.277777777777...... as a fraction?
Answers
Answer:
27777/100000
Step-by-step explanation:
i hope its right