Answer:
6 to the power of 2 or 6 squared
Answer:
6 to the power of 2 or 6 squared
Step-by-step explanation:
Factorize completely
81k^2 - m^2
81k^2 - m^2 factors to
(9k + m)(9k - m)
Prove this by FOILing.
First - 81k^2
Outer - (-9km)
Inner - 9km
Last - (-m^2)
Put it into equation form
81k^2 - 9km + 9km - m^2
And combine terms to get the original equation,
81k^2 - m^2.
⭐ Answered by Hyperrspace (Ace) ⭐
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(9k+m) X (9k - m)
Step-by-step explanation:
81[tex]k^{2}[/tex] - [tex]m^{2}[/tex]
= (9k)^2 - (m)^2 ( taking the square roots)
=(9k+m) (9k - m)
here we have applied the rules of a^2 - b^2 = ( a+b) ( a -b)
here 9k is taking as a and m is taking as b
thus you get your answer.
hope it helps.
a line passed through the point (8,9) and has a slope of -3/4. write an equation in slope intercept form.
Answer:
y = -3/4x + 3
Step-by-step explanation:
y - 9 = -3/4 (x-8)
y-9 = -3/4x -6
y = -3/4x - 6 + 9
y = -3/4x + 3
The equation of the line that passed through the point (8,9) and has a slope of -3/4 in slope-intercept form is [tex]y= -\frac{3}{4}x + 13[/tex]
The point-slope form of the equation of a line passing through the points (x₁, y₁) and with a slope m is given as:
y - y₁ = m(x - x₁)
For the line that passed through the point (8, 9) and has a slope of -3/4
x₁ = 8, y₁ = 9, and m = -3/4
Substitute these values into the equation y - y₁ = m(x - x₁)
[tex]y-9=\frac{-3}{4}(x - x_1)[/tex]
Express the equation above in the form y = mx + c
[tex]y-9=-\frac{3}{4}(x - 8)\\\\y-9= -\frac{3}{4}x + 6\\\\y= -\frac{3}{4}x + 6+9\\\\y= -\frac{3}{4}x + 13[/tex]
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-5x = -2x - 3
What dose x equal
Answer:1
Step-by-step explanation:
-5x=-2x-3
-5x+2x=-3
-3x=-3
X=1
Answer:
X=3/7
Step-by-step explanation:
michael breeds chicken and ducks
last month he sold 50 chickens and 30 ducks for $550. this month he sold 44 chicken's and 36 ducks for $532.
how much Does a chicken cost and how much does a duck cost?
Answer:
cost of a chicken $7.25
cost of a duck $4.25
Step-by-step explanation:
Let c represent chickens and d represent ducks
50 chicken + 3 ducks = $550 ➡ 50c + 30d = $550
44 chicken + 36 ducks = $532 ➡ 44c + 36d = $532
Now find the difference of equations
(50c + 30d) - (44c + 36d) = $550 - $532
6c - 6d = $18
6×(c-d) = $18 divide both sides by 6
c - d = $3 Now we can use this information to find the cost of a chicken and duck
50c + 30d = $550
c - d = $3 multiply second equation by 30
30 × (c-d) = $3 ➡30c - 30d = $30
Now add this new equation we found to the very first equation
30c - 30d + 50c + 30d = $550 + $30 (-30d will eliminate 30d)
80c = $580 divide both sides of the equation by 80
c = $7.25
We know that c - d = 3 so now replace c by $7.25 the price we just found
$7.25 - d = $3
$7.25 - $3 = d
$4.25 = d
airline fairs for a flight from dallas to austin at $30 for first class and $ 25 for tourist class. the flight had 52 passengers who paid $1360, how many tourist class and first class passengers are there?
There are 12 first class passengers and 40 tourist class passengers on the flight from Dallas to Austin.
Let's define the number of first class passengers as x and the number of tourist class passengers as y.
We can set up the following system of equations based on the given information:
The total number of passengers: x + y = 52
The total revenue from passengers: 30x + 25y = 1360
We can solve this system of linear equations,
y = 52 - x
30x + 25(52 - x) = 1360
30x + 1300 - 25x = 1360
5x + 1300 = 1360
5x = 60
x = 12
So, there are 12 first class passengers.
Using y = 52 - x, we find:
y = 52 - 12 = 40
Thus, there are 40 tourist class passengers.
What two numbers multiplies to 16 and adds to -17?
Suppose you are choosing between two checking accounts. One account charges you $1.50 ATM
fee every time you withdraw money from a non-sponsored ATM, and the other charges you no
ATM fees and a $15 monthly fee.
How many ATM transactions are equivalent to $15 in monthly fees?
Answer:
10
Step-by-step explanation:
$15.00 / $1.50 = 10
| 2.) Are the two expressions below equal?
4a + 4a + 3a and 7a + 3a
Please help
Answer:
21a
Step-by-step explanation:
yes they are equal.. all you need is just to add all the number to get your answer!
Answer:
21a
Step-by-step explanation:
because ,
4a+4a+3a =11a
and 7a+3a=10a
and they are equal so what you need is that
just to add them and for maths (and) means addition ..... so therefore the answer is 21a
According to the graph, what is the value of the constant in the equation
below?
Height = Constant . Width
• (6, 15)
Height
10-
(3,9)
6+
(2,6)
2 to (0.5, 1.5)
-
4
6
14 16 18 20
8 10 12
Width
Answer:
The value of the constant is 3
Step-by-step explanation:
Let
y ----> the height
x ----> the width
we have
[tex]y=kx[/tex]
This is the equation of a linear direct variation
The equation of the line passes through the origin
we have the points
(0.5,1.5), (2,6) and (3,9)
see the attached figure to better understand the problem
Find the value of the constant of proportionality k
[tex]k=\frac{y}{x}[/tex]
For (0.5,1.5) ----> [tex]k=\frac{1.5}{0.5}=3[/tex]
For (2,6) ----> [tex]k=\frac{6}{2}=3[/tex]
For (3,9) ----> [tex]k=\frac{9}{3}=3[/tex]
therefore
The value of k is equal to 3
The linear equation is
[tex]y=3x[/tex]
or
[tex]Height=3Width[/tex]
Answer:
I had done this on A P E X and it said it was 80
2/3xd=10/9 what is d
Answer:d=5/3x
Step-by-step explanation:
Let's solve for d.
(2/3x)(d)=10/9
Step 1: Divide both sides by (2x)/3.
2/3dx / 2x/3=10/9 / 2x/3
d=5/3x
To find the value of d in the equation 2/3 * d = 10/9, multiply both sides by the reciprocal of 2/3. The value of d is 5/3 or approximately 1.67.
Explanation:To solve the equation 2/3 * d = 10/9 for d, we can start by multiplying both sides of the equation by the reciprocal of 2/3, which is 3/2. This gives us:
d = (10/9) * (3/2) = 30/18 = 5/3
Therefore, d = 5/3 or d ≈ 1.67.
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If bob washed the car in 6 minutes and jack washed it in 8 minutes how long did it take them together
Answer:
14 minutes
Step-by-step explanation:
8 + 6 = 14
First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify each of the 2 polynomials. If it is NOT a polynomial, explain why you think it is not a polynomial. For example you may say: Polynomial # 4. has degree of 5 and is classified as a quintic polynomial of 4 terms. We covered this in class (see below). Explain in sentences how you determined degree and "name" or why it is NOT a polynomial: 1. 7 x 4 + 5 x 2 + x − 9 2. 7 x 6 − 4 x 3 + 1 /x
Final answer:
The first polynomial is a quartic polynomial of degree 4, while the second polynomial is not a polynomial due to a term with a negative exponent.
Explanation:
First, let's state the degree and identify the term with the greatest degree.
The polynomial 7x^4 + 5x^2 + x - 9 has a degree of 4. The monomial with the greatest degree is 7x^4. The polynomial 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent (1/x). Polynomials can only have non-negative integer exponents.So, in summary:
1. 7x^4 + 5x^2 + x - 9 is a polynomial of degree 4.
2. 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent.
test patti green and her husband are purchasing a condominium for $123000. They have $15000 for a down payment. what is the amount of their mortgage loan?
Answer:
there amount would be 108,000
Step-by-step explanation:
um...
123,000 - 15,000
= 108,000
give me brainly :)
which could be the function graphed below
Answer: A on Edge 2020
Step-by-step explanation: I'm super late on this, but this is the answer. Hopefully this helps those that come after me
Answer:
a
Step-by-step explanation:
which of the following is equivalent to log9w
what do you meanAnswer:
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Did the 2020 edge quiz
What is blank divided by 9 equals 5
Answer:
45 divided by 9 equals 5
Step-by-step explanation:
4m is greater or less then 400 dm
Answer:
greater
Step-by-step explanation:
Write as an equation/inequality. x is less than or equal to 38.
Answer:
x[tex]\leq[/tex]38
Step-by-step explanation:
bring back the x and the 38 with a space between to decide on the symbol put back i the less than sign between both terms then put a line underneath to form the symbol less than or equal to.
my math problem dealing with fractions ask What is 1/8 of 9?
Answer:
a
Step-by-step explanation:
Answer:
1 1/8
Step-by-step explanation:
1/8 of 9
Of means multiplication
1/8 x 9
= 9/8
= 1 1/8
Heather won 33 super bouncy balls playing basketball at the county fair. At school she gave two to every student in her math class. She only has 5 remaining. How many students are in her class?
Ok, first subtract five so we have a more straight number to work with, 28, then divide 28 by 2 to get 14, so there are 14 students in her class.
Hope this helps, if not, comment below please!!!
Answer:
The answer is 14.
Step-by-step explanation
33-5=28
28/2=14
What identity can be used to rewrite the expression 27x^3-64?
Option A:
Difference of cubes
Solution:
Given expression is [tex]27 x^{3}-64[/tex].
27 can be written as [tex]3^3[/tex].
64 can be written as [tex]4^3[/tex].
[tex]27 x^{3}-64=3^3x^3-4^3[/tex]
[tex]27 x^{3}-64=(3x)^3-4^3[/tex]
To find the identity to rewrite the given expression:
Option A: Difference of cubes
[tex]27 x^{3}-64[/tex] can be rewritten as [tex](3x)^3-4^3[/tex].
That means the difference of two cubes.
So, it is true.
Option B: Difference of squares
[tex]27 x^{3}-64[/tex] cannot be written as square terms.
So, it is false.
Option C: Sum of cubes
[tex]27 x^{3}-64[/tex] cannot be written as sum of cubes.
So, it is false.
Option D: Pythagorean Triples
[tex]27 x^{3}-64[/tex] cannot be written as Pythagorean Triples.
So, it is false.
Hence difference of cubes if the correct answer.
A cylindrical swimming pool has a diameter of 20 feet and a height of 3.5 feet. How many gallons of water can the pool contain? Round your answer to the nearest whole number. (1 ft3 ≈ 7.5 gal)
Answer:
The swimming pool will contain approx [tex]8243\ gal[/tex] of water.
Step-by-step explanation:
Given the swimming pool is in a cylindrical shape.
And the dimensions are [tex]20\ feet[/tex] diameter with a height of [tex]3.5\ feet.[/tex]
Also, [tex]1\ ft^3 =7.5\ gal[/tex]
First, we will find the volume of the swimming pool.
The swimming pool is in cylindrical shape.
So, the volume would be [tex]\pi r^2h[/tex]
The height [tex](h)[/tex] is given as [tex]3.5\ feet.[/tex] To calculate radius [tex](r)[/tex] we will divide the diameter by two.
The radius of the cylinder would be [tex]\frac{20}{2}=10\ feet[/tex]
Plug these values in the formula we get,
[tex]\pi r^2h\\=\pi\times 10^2\times 3.5\\=3.14\times 100\times 3.5\\=1099\ ft^3[/tex]
Now, it is given [tex]1\ ft^3 =7.5\ gal[/tex]
So, [tex]1099\ ft^3 =1099\times 7.5\ gal=8242.5\ gal[/tex]
The swimming pool will contain approx [tex]8243\ gal[/tex] of water.
To find the volume of the cylindrical pool, calculate the radius, then use the formula for the volume of a cylinder, finally convert the volume to gallons. The cylindrical swimming pool can contain approximately 8267 gallons of water.
Calculate the radius: radius = diameter / 2 = 20 ft / 2 = 10 ftCalculate the volume: volume = π * radius^2 * height = π * 10^2 * 3.5 = 350π ft^3Convert to gallons: 350π ft^3 * 7.5 gal/ft^3 ≈ 8267 gallons (rounded to the nearest whole number)
The coffee cups can hold 7/9 of a pint of liquid. If Emily puts 2/3 of s pint of coffee into a cup, how much milk can a customer add?
1/9 pints of milk can be added by a customer
Step-by-step explanation:
We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee
Given
Total Capacity of a cup = 7/9 pints
Coffee to be added in a cup = 2/3 pints
So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.
So,
[tex]Amount\ of\ milk = \frac{7}{9} - \frac{2}{3}\\=\frac{7-6}{9} = \frac{1}{9}[/tex]
Hence,
1/9 pints of milk can be added by a customer
Keywords: Fractions, addition
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Amount of milk add by customer is 1/9 pint of liquid
Given that;
Holding capacity of cup = 7/9 pint of liquid
Liquid fill by Emily = 2/3 pint of liquid
Find:
Amount of milk add by customer
Computation:
Amount of milk add by customer = Holding capacity of cup - Liquid fill by Emily
[tex]Amount\ of\ milk\ add\ by\ customer = \frac{7}{9} - \frac{2}{3}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{7-6}{9}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{1}{9}\\\\[/tex]
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What is the simplest form for 28 out of 32
Answer:
7/8 decimal form: 0.875
Step-by-step explanation:
28 4
---- ÷ ---- = 7/8
32 4
Torique calculates that a weekend is 48 hours long and that he sleeps for 16 hours each weekend, 1/3 of the weekend. What fraction of each weekend does Tyrique spend awake? What percent represents that fraction?
Final answer:
Tyrique spends 2/3 of each weekend awake, which is 32 hours out of the total 48 hours. This translates to 66.67% of the weekend.
Explanation:
Tyrique calculates that he sleeps for 16 hours out of a 48 hour weekend, which means he sleeps for 1/3 of the weekend. To calculate the fraction of the weekend he spends awake, we subtract the sleeping fraction from the whole.
Total hours in a weekend: 48 hours
Sleeping hours: 16 hours
Awake hours: 48 hours - 16 hours = 32 hours
Now, we convert 32 hours to a fraction of the weekend.
Awake fraction: 32 hours / 48 hours = 2/3 of the weekend
Next, we convert this fraction to a percentage.
Awake percentage: (2/3) × 100 = 66.67%
Therefore, Tyrique spends 2/3 of each weekend awake, which is equivalent to 66.67% of the weekend.
-4x-2y=-12 4x+8y=-24
Answer:
[tex]x=6\\ \\y=-6[/tex]
Step-by-step explanation:
Given the system of two equations:
[tex]\left\{\begin{array}{l}-4x-2y=-12\\ \\4x+8y=-24\end{array}\right.[/tex]
Add these two equations (left side add to left side and right side add to right side):
[tex]-4x-2y+4x+8y=-12+(-24)\\ \\-2y+8y=-12-24\\ \\6y=-36\\ \\y=-6[/tex]
Substitute [tex]y=-6[/tex] into the first equation:
[tex]-4x-2\cdot (-6)=-12\\ \\-4x+12=-12\\ \\-4x=-12-12\\ \\-4x=-24\\ \\x=6[/tex]
Write a word problem that can be solved by dividing 10 by 2/3 include the answer to the problem
Answer:
Step-by-step explanation:
you need to divide 10 by 2/3.
Katty has 10/1 tanks of gas fuel in his truck. He uses 2/3 of it each day.
Albert $1000 earned 1.2% annual interest compounded monthly
$500 lost 2% over the course of the 10 years
$500 grew compounded continuously at rate of 0.8% annually
What is the balance of Albert’s $2000 after 10 years?
Answer:
$2159.07
Step-by-step explanation:
The compound interest formula is used to find the balance for the $1000 investment:
A = P(1 +r/n)^(nt)
A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43
__
For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...
A = 500(1 -.02) = 490.00
__
The continuous compounding formula is used for the second $500 investment.
A = Pe^(rt)
A = 500e^(.008·10) = 500e^.08 = 541.64
__
The total value of Albert's investments is ...
$1127.43 +490 +541.64 = $2159.07
add: (3x^2-5x+6)+(-4x^2-8x+9)
A. -x^2-13x+15
B. 7x^2-13x+15
C. -x^2-13x+3
D. 7x^2+3x-3
Answer:
A. -x^2-13x+15
Step-by-step explanation:
-4x^2 + 3x^2 = -x^2
-8x + -5x = -13x
6 + 9 = 15
-x^2-13x+15
Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The speed of one of the planes was 200 km/hour slower than the speed of the other plane, and so it arrived at its destination 1.5 hours after the faster plane. Find the speeds of both planes.
Answer: The speed of the faster lane is 800 km/hour and the slower plane is 600 km/hour
Step-by-step explanation:
The speed of the faster plane is 800 km/h and the speed of the slower plane is 600 km/h.
The given parameters:
Distance traveled by both planes, d = 3600 km
Let the speed of the faster plane = vThe speed of the slower plane, u = v - 200 km/hLet the time taken for the faster plane = t hoursTime taken for the slower plane to arrive = t + 1.5 hours
The distance traveled by both planes is the same;
d = u(t + 1.5) ---(1)
d = (v - 200) (t + 1.5)
3600 = vt + 1.5v - 200t - 300
d = vt ----(2)
3600 = vt
[tex]v = \frac{3600}{t}[/tex]
[tex]3600 = \frac{3600}{t} t \ +\ 1.5 (\frac{3600}{t} ) \ - \ 200 t - 300\\\\3600 = 3600 + \frac{5400}{t} - 200t - 300\\\\300 = \frac{5400}{t} - 200t\\\\300t = 5400 - 200t^2\\\\200t^2 +300t - 5400 = 0\\\\2t^2 + 3t- 54= 0\\\\(2t - 9)(t + 6)= 0\\\\t = 4.5 \ \ or \ \ -6 \ \\\\t = 4.5 \ hours[/tex]
The speed of the faster plane is calculated as;
[tex]v = \frac{3600}{t} \\\\v = \frac{3600}{4.5} \\\\v = 800 \ km/h[/tex]
The speed of the slower plane is calculated as follows;
[tex]u = v- 200\\\\u = 800 - 200\\\\u = 600 \ km/h[/tex]
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