Answer:
(4^-3)(x^-3) y^(18)
or
y^18/ (64 x^3)
Step-by-step explanation:
(4xy^-6)^-3
Distribute the exponent to all terms in the parentheses
(4^-3)(x^-3) (y^-6)^-3
a^ b^c = a^ (b*c)
(4^-3)(x^-3) y^(-6*-3)
(4^-3)(x^-3) y^(18)
If we do not want negative exponents
a ^ -b = 1/ a^b
y^18/( 4^3 x^3)
y^18/ (64 x^3)
The rectangle below has an area of x^2+11x+28x 2 +11x+28x, squared, plus, 11, x, plus, 28 square meters and a length of x+7x+7x, plus, 7 meters. What expression represents the width of the rectangle?
Answer:
[tex]Width = x + 4[/tex]
Step-by-step explanation:
Given
Shape: Rectangle
[tex]Area = x^2 + 11x + 28[/tex]
[tex]Length = x + 7[/tex]
Required
Determine the width
For a rectangle:
[tex]Area = Length * Width[/tex]
Substitute values for Length and Area
[tex]x^2 + 11x + 28 = (x + 7) * Width[/tex]
Factorize the expression on the left hand side
[tex]x^2 + 7x + 4x + 28 = (x + 7) * Width[/tex]
[tex]x(x + 7) + 4(x + 7) = (x + 7) * Width[/tex]
[tex](x + 7)(x + 4) = (x + 7) * Width[/tex]
Divide both sides by x + 7
[tex]Width = x + 4[/tex]
Solve the equation
3p-2q=5
q-1=3p
Answer:
p = -7/3 and q = -6
Step-by-step explanation:
3p-2q=5
Substitute q-1 for 3p
q-1-2q=5
-q-1=5
q=-5-1=-6
Substitute the value of q = -6 in q-1=3p
-6-1=3p
3p=-7
p = -7/3
How many solutions will there be for a quadratic equation of the form ax2 + bx+c = 0 if the discriminant, b2 - 4ac, is negative?
1.)There will be two complex solutions.
2.)There will be one real solution.
3.)There will be two real solutions.
3.)There will be no solutions.
A sample of 2,000 people yielded P(hat) = .52. What is the variance of the population proportion?
a. .0056
b. .0161
c. .0112
d. .00012
Answer:
d. .00012 or 0.00012
Step-by-step explanation:
The variance of the population proportion formula is given as:
p(1 - p)/n
Where n = sample size
p = population proportion or p(hat)
n = 2000 people
p = 0.52
Variance of the population proportion = 0.52(1 - 0.52)/ 2000
= 0.52 × 0.48 /2000
= 0.2496 /2000
= 0.0001248
Therefore the Variance of the population proportion is approximately = 0.00012
Identify each of the following variables as categorical or quantitative.(a) Blood type of a randomly selected person. (b) Amount of snow (in inch) of the next snow storm in Ottawa (c) Daily exchange rate of Canadian dollar versus US dollar (d) The number of car accidents in Ottawa area tomorrow
Answer:
Step-by-step explanation:
A
357,468 =
thousands 468 ones.
Not what I’m looking for maths
Answer:
Wrong
Step-by-step explanation:
You must be more specfic about how many 1000's
The battery in camilles old phone can’t last for 4.2 hours .she bought a new phone that’s gas battery that can last 60% longer . How long can the battery on camilles new phone last?
Answer:
6.72 Hours
Step-by-step explanation:
Since the new phone can last 60% Longer than 4.2 hours, we multiply 4.2 by .6 and then add it back to 4.2
4.2 X 60% = 2.52
2.52+4.2=6.72
Therefore, the new phone can last 6.72 hours
I will give the brainiest
Suppose x = 7 is a solution to the equation 4x - 2(x + a) = 8. Find the value of a that makes the
equation true.
2
6
3
-25
Answer:
a=3
Step-by-step explanation:
opening the bracket, we have
4x-2x-2a=8
2x-2a=8
x=7
2(7)-2a=8
14-2a=8
collect like terms
-2a=8-14
-2a=-6
divide both sides by -2
a=3
I don't get it can u please show me how to do it step by step
Step-by-step explanation:
6.)
|x - 6| = 5
x + 6 = 5
x = 5 - 6
x = - 1
7.)
|3x - 7| = 12
3x + 7 = 12
3x = 12 - 7
3x = 5
x = 5/3
8.)
|2x + 9| - 10 = 5
2x + 9 - 10 = 5
2x - 1 = 5
2x = 1 + 5
2x = 6
x = 6/2
x = 3
Simply 2p(p+2)-3p(2p-3) =
Answer:
p (13 - 4 p)
Step-by-step explanation:
Simplify the following:
2 p (p + 2) - 3 p (2 p - 3)
Hint: | Pull a common factor out of 2 p (p + 2) - 3 p (2 p - 3).
Factor p out of 2 p (p + 2) - 3 p (2 p - 3), resulting in p (2 (p + 2) - 3 (2 p - 3)):
p (2 (p + 2) - 3 (2 p - 3))
Hint: | Distribute 2 over p + 2.
2 (p + 2) = 2 p + 4:
p (2 p + 4 - 3 (2 p - 3))
Hint: | Distribute -3 over 2 p - 3.
-3 (2 p - 3) = 9 - 6 p:
p (2 p + 9 - 6 p + 4)
Hint: | Group like terms in 2 p - 6 p + 4 + 9.
Grouping like terms, 2 p - 6 p + 4 + 9 = (4 + 9) + (2 p - 6 p):
p (4 + 9) + (2 p - 6 p)
Hint: | Combine like terms in 2 p - 6 p.
2 p - 6 p = -4 p:
p (-4 p + (4 + 9))
Hint: | Evaluate 4 + 9.
4 + 9 = 13:
Answer: p (13 - 4 p)
Which expression shows 7 more than the product of 8 times 9?
Answer:
Step-by-step explanation:
7 more than the product of 8 times 9
product of 8 times 9 = 8 × 9 = 72
7 more than the product of 8 times 9 = 72 + 7 = 79
Hope this helps
plz mark as brainliest!!!!!!!!!!
-4 + 5x − 7 = 10 + 3x − 2x what eqauls x
Answer:
X=21/4, or in simplest form 5.25
Step-by-step explanation:
Which number is less than 2.16? 2.3, 2.09, 2.93, or 2.9
Answer:
2.09
Step-by-step explanation:
Because:
2.3=2.30
2.9=2.90
and 2.93 is just bigger
therefore your answer is 2.09
Answer:
2.09
Step-by-step explanation:
2.93 > 2.9 > 2.3 > 2.16 > 2.09
2.09 is less than 2.16 mainly due to the fact that 9 is in the hundredths place. 16 is also in the hundredths place, but 9/100 is less than 16/100.
Please answer the question in the photo.
The equation is sometimes true. When x = 0, 1 or -1, then the equation is true. Otherwise, the equation is false.
====================================================
Explanation:
When it comes to something like "always true" all we need is one counter example to break that statement. Pick something like x = 64 and you'll find that the left hand side becomes
[tex]x^{1/3} = 64^{1/3} = \sqrt[3]{64} = \sqrt[3]{4^3} = 4[/tex]
while the right hand side turns into
[tex]x^3 = 4^3 = 4*4*4 = 64[/tex]
This means the original equation [tex]x^{1/3} = x^3[/tex] updates to [tex]4 = 64[/tex] after plugging in x = 4. We get a false statement making the original statement false when x = 4. So saying "[tex]x^{1/3} = x^3[/tex] is always true" is not correct.
----------------------
The equation is only sometimes true for the x values 0, 1 and -1
Let's try x = 0
[tex]x^{1/3} = x^3\\\\0^{1/3} = 0^3\\\\0 = 0[/tex]
we get a true statement confirming x = 0 as a solution
Trying x = 1 leads to
[tex]x^{1/3} = x^3\\\\(1)^{1/3} = 1^3\\\\1 = 1[/tex]
also true. A similar situation happens with x = -1 as well, just that we have negatives this time.
Can you solve the equation 3/4(6x+9)=14 by using the divison property of equality.
Answer:
x=28/9 t- 3/2
Step-by-step explanation:
Find the midpoint between A and C.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(0. \: 5, \: 0.5 \: )}}}}}[/tex]
Step-by-step explanation:
Given,
A ( -2 , 4 )⇒ ( x₁ , y₁ )
C ( 3 , - 3 )⇒ ( x₂ , y₂ )
Finding the midpoint between A and C
[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{ - 2 + 3}{2} \: , \: \frac{4 + ( - 3)}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{4 - 3}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{1}{2} \: , \: \frac{1}{2} }})[/tex]
[tex] \dashrightarrow{( \sf{0.5 \: , \: 0.5) \: }}[/tex]
Hope I helped!
Best regards! :D
HELLLLLPPPPPPP PLZZZZZZ HELP A$AP PLZZZZZZZZZ I WILL MARK BRAINLEST
Answer:
what do you need help with i dont see the question
Step-by-step explanation:
Which of the given values is a solution to the equation −4u+3=4u−5
Answer:
u=-8
Step-by-step explanation:
-4u+3=4u-5
-4u-4u=-5-3
*Divide U by four and we are left with U. Add -5+-3 = -8
u=-8
Evaluate g(x) = x2 + 5 given the inputs (-1,0,1,2}
Answer:
g(-1) = 6
g(0) = 5
g(1) = 6
g(2) = 9
Step-by-step explanation:
Step 1: Plug in -1 for x
g(-1) = (-1)² + 5
g(-1) = 1 + 5
g(-1) = 6
Step 2: Plug in 0 for x
g(0) = 0² + 5
g(0) = 0 + 5
g(0) = 5
Step 3: Plug in 1 for x
g(1) = 1² + 5
g(1) = 1 + 5
g(1) = 6
Step 4: Plug in 2 for x
g(2) = 2² + 5
g(2) = 4 + 5
g(2) = 9
three less than the product of six and an unknown number is the same as the product of three and the sum of the number and two
Answer:
6x - 3 = 3(x + 2)
Step-by-step explanation:
21. Chandra is retiling her bathroom floor. Each tile is in the shape of a
square, and is 6.5 inches long. How many square inches does one tile
cover? *
HELPPP
Answer:
42.25 inches²
Step-by-step explanation:
Given that the tile has a square shape, and each side of the tile is 6.5 inches, the area covered by one tile in square inches = area of square = s².
Where, s = side length of square
Area of 1 tile = 6.5² = 42.25 square inches.
One tile covers 42.25 square inches.
Let the universal set be the set of integers and let A = {x | ≤ 5}. Write A using the roster method.
Answer: A = {..., -1, 0, 1, 2, 3, 4, 5}
Step-by-step explanation:
We have that the set A is the set of all the integers equal to or smaller than 5.
To write in the Roster Method, we must list all the elements of this set, but we know that this set extends to minus infinity, then we should start with an ellipsis:
A = {...
Which means that it continues in that direction.
Then we can implicitly write the end of our set, and also some of the points so we can know the relation between the points in the set.
A = {..., -1, 0, 1, 2, 3, 4, 5}
And that is the set A in written with the Roster Method
Help me please 2(x-4) = 6x - 6
Answer:
-1/2 = x
Step-by-step explanation:
2 (x - 4) = 6x - 6 (distribute)
2x - 8 = 6x - 6 ( subtract 2x from each side)
- 8 = 4x - 6 ( add 6 to both sides)
-2 = 4x ( divide each side by 4)
x = -2/4 which simplifies to -1/2
Answer:
x is -1/2 (negative one half)
Step-by-step explanation:
Apply distributive property on the left in order to get rid of the parenthesis, and then group all terms in x on the right, and all numerical terms on the left. Combine like terms, and finally solve for "x":
2 (x - 4) = 6 x - 6
2 x - 8 = 6 x - 6
6 - 8 = 6 x - 2 x
-2 = 4 x
x = -2/4
x = -1/2
Which of the following employees has the greatest total employee compensation? a. Employee A: total job benefits $68,100 and total job expenses $100 b. Employee B: total job benefits $68,400 and total job expenses $300 c. Employee C: total job benefits $68,700 and total job expenses $800 d. Employee D: total job benefits $69,000 and total job expenses $1,000
Answer:
B is the correct answer
Step-by-step explanation:
Answer:
Which of the following employees has the greatest total employee compensation?
a. )) Employee A: total job benefits $68,100 and total job expenses $100
b. )) Employee B: total job benefits $68,400 and total job expenses $300 {{{ CORRECT }}}
c. )) Employee C: total job benefits $68,700 and total job expenses $800
d. )) Employee D: total job benefits $69,000 and total job expenses $1,000
Step-by-step explanation:
Edge 2021
what is the distance between (8,-3) and (4,-7) ?
Answer:
The answer is
[tex]4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(8,-3) and (4,-7)
The distance between them is
[tex]d = \sqrt{ ({8 - 4})^{2} + ({ - 3 + 7})^{2} } \\ = \sqrt{ ({4})^{2} + ( { - 4})^{2} } \\ = \sqrt{16 + 16} \\ = \sqrt{32} [/tex]We have the final answer as
[tex]4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: units[/tex]Hope this helps you
Distribute the negative sign: -(x - 6y)
Answer:
-x + 6y.
Step-by-step explanation:
-(x - 6y)
= -1*x -1*-6y
= -x + 6y
0.1.13
Your vacation hotel is only 1068 feet from the historic Colonial Courthouse, but it is mile to the Fine Arts Gallery. Find the difference in the distance between the
Courthouse and your hotel and the Fine Arts Gallery and your hotel in feet. (Note that the units are different.)
The difference in distance is feet.
Answer:
[tex]Distance = 1572\ feet[/tex]
Step-by-step explanation:
Given
Courthouse = 1068 feet
Gallery = 0.5 mile ----- Missing Part of Question
What the question implies is to
determine the distance between these two locations
This is done as follows:
[tex]Distance = |Courthouse - Gallery|[/tex]
Substitute values for Courthouse and Gallery
[tex]Distance = |1068\ feet - 0.5\ mile|[/tex]
Convert 0.5 mile to feet (1 mile = 5280 feet)
[tex]Distance = |1068\ feet - 0.5 * 5280\ feet|[/tex]
[tex]Distance = |1068\ feet - 2640\ feet|[/tex]
[tex]Distance = |-1572\ feet|[/tex]
[tex]Distance = 1572\ feet[/tex]
Hence, the required distance is 1572 feet
beginning of Tear Assessment Grade 8 Mathematics
37 OT 42
A rectangular prism and its dimensions are shown in the diagram.
6.5 in.
5 in.
7.5 in.
What is the total surface area of this prism in square inches?
Answer: 237.5 square inches
Step-by-step explanation:
Total surface area of rectangular prism = 2 (lw+wh +hl)
, where l= length
w = width
h= height
Given: A rectangular prism and its dimensions are.
6.5 in. ,5 in. ,7.5 in.
Then, the total surface area of this prism = 2 (6.5×5 + 6.5 × 7.5 + 5×7.5)
= 2 (32.5+ 48.75 + 37.5)
= 2 (118.75)
= 237.5
Hence, the total surface area of this prism = 237.5 square inches
Answer:
237.5
Step-by-step explanation:
took a test
A square garden has an area of 100 square feet. What is the perimeter of the garden? show your work.
Answer: 40
Step-by-step explanation: 10 • 10 equals 100, so each side is 10. Since a square has 4 sides multiply 4 by 10 which gets you 40.
Perimeter of a square garden is 40.
Here,
A square garden has an area of 100 square feet.
We have to find the perimeter of the square garden.
What is Perimeter of square?
Sum of all four sides of a square is known as Perimeter of a square.
Now,
Let side of a square garden is a.
Area of a square = [tex]side^{2}[/tex] = [tex]a^{2}[/tex]
[tex]a^{2} = 100[/tex]
[tex]a = 10[/tex]
Hence, Perimeter of a square garden = 10 + 10 + 10 + 10
= 40
So, Perimeter of a square garden is 40.
Learn more about the Perimeter of square visit:
https://brainly.in/question/24292482
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Which of the following is equivalent equation
Answer:
Option 1 F
Step-by-step explanation:
If all the terms in an equation have a common factor, then you can divide all the terms by that common factor and receive the same answer. In this question, all the terms are divisible by 3 (3, 12 and 6 can all divide by 3) so we can divide them all by 3 while keeping the equation equal, which gives us:
3y/3 = 12x/3 -6/3
y = 4x - 2
Hope this helped!