A and b are positive integers and a-b=2 ... Evaluate the following:
27^1/3 b / 9^1/2 a
There is an image attached of the problem
Answers
Answer:
Step-by-step explanation:
a-b=2
[tex]\frac{27^{\frac{1}{3} b} }{9^{\frac{1}{2}a } } \\=\frac{(3^{3}) ^{\frac{1}{3} b} }{(3^{2} )^{\frac{1}{2} a} } \\=\frac{3^b}{3^a} \\=3^{b-a} \\=3^{-(-b+a)} \\=3^{-2}\\=\frac{1}{3^2} \\=\frac{1}{9}[/tex]
Related Questions
Given the triangle below with vertices A(4,3) B(-2,3) and C(-1,-2). Find the area and perimeter
Answers
Answer:
12.5 sq units. Explanation: Area of a triangle with vertices (x1,y1),(x2,y2),(x3,y3) is 12[x1(y2−y3)+x2(y3−y1)+x3(y1−y2)]. Using this formula ...
Step-by-step explanation:
you have to study
The value of the area of circle is,
Area = 15 units²
And, The value of perimeter is,
⇒ 6 + √34 + 5√2 Units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle with vertices A(4, 3) B(-2, 3) and C(-1, - 2).
Now, We know that;
Area of triangle with vertices (x₁, y₁) (x₂, y₂) and (x₃, y₃) is,
= 1/2 [ x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃(y₁ - y₂) ]
Hence, We get;
The value of the area of circle is,
Area = 1/2 [ 4 (3 + 2) - 2 (- 2 - 3) - 1 (3 - 3) ]
Area = 1/2 [ 20 + 10 ]
Area = 1/2 x 30
Area = 15 units²
We know that;
The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, Lenght of AB is,
AB = √ (- 2 - 4)² + (3 - 3)²
AB = √- 6²
AB = 6
BC = √ (- 2 - 1)² + (3 + 2)²
BC = √9 + 25
BC = √34
CA = √ (- 1 - 4)² + (- 2 - 3)²
CA = √25 + 25
CA = √ 50
CA = 5√2
Thus, The perimeter of triangle is,
⇒ AB + BC + CA
⇒ 6 + √34 + 5√2
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You can use the formula S = 10m^2/3 to approximate the surface area S, in square centimeters, of a horse with mass m, in grams. What is the surface area of a horse with a mass of 4.5 x 10^5 grams? Round you answer to the nearest whole square centimeter about 58,723 sq cm.
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Answer:
58, 723 sq cm
Step-by-step explanation:
PLEASE HELP IF POSSIBLE :)
Answers
Answer:
telephone pole height = 480ft
Step-by-step explanation:
Assume that the shadow that an object casts is proportional to the height of the object. Then one can form the ratio:
[tex](shadow : height)[/tex]
Making the assumption that this ratio is proportional for all objects in this given scenario, then one can say that the ratio of the height of the man and his shadow is equal to the ratio of the height of the telephone pole and its shadow:
(man's height) : (man's shadow) = (pole's height) : ( pole's shadow)
Substitute:
6ft : 4ft 6in = (telephone pole hiehgt) : 30ft
Convert to inches (since it is all in the same unit now, one's doesn't need to write the unit anymore):
72 : 54 = (telephone pole height) : 360
Simplify:
4 : 3 = (telephone pole height) : 360
Now solve, use cross products:
3(telephone pole height) = 1440
Inverse operations,
3(telephone pole height) = 1440
/3 /3
telephone pole height = 480
If a number is increased by 4, its square is increased by 64. Find the number
Answers
Answer:
12
Step-by-step explanation:
12 - 4 = 8
The square of 8 is 64
Answer:
6
Step-by-step explanation:
(n + 4)^2 = n^2 + 64
n^2 + 8n + 16 = n^2 + 64
8n = 48
n = 6
pls help me
which table shows a relationship that is directly proportional?
a b c d?
Answers
Answer:
A is the answer because...
Step-by-step explanation:
Let's narrow it down, so it is not D because 8/2=4 but 64/4=16, so already they don't share a slope. It is not B because the numbers don't work together like they should, since we are trying to prove proportionality. It is not C because we are not trying to square the numbers but find a similarity between the numbers, the same slope I mean. So that leaves A which has the slope of 2, test it out now. 0 and 0 are the same, 4/2=2, 8/4=2, 12/6=2. So now you know that A is the correct answer.
Hope you understand! :)
Someone, please help me I have no idea what I'm doing...
Answers
Help! What is the area of each shape?
Answers
Answer:
27.84 m² , 42.48 m²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Shape A
has b = 9.6 and h = 5.8, then
A = 0.5 × 9.6 × 5.8 = 27.84 m²
Shape B
has b = 11.8 and h = 7.2 , then
A = 0.5 × 11.8 × 7.2 = 42.48 m²
Answer:
Shape A = 55.68
Shape B = 79.2
Step-by-step explanation:
Shape A work : [tex]9.6[/tex] x [tex]5.8[/tex] = 55.68
Shape b work : 11 x 7.2 = 79.2
Hope this helps!
Marcus has 3/4 of and 8-piece pizza left over from last night. He eats 1/3 of the left over pizza for a snack. How much of the original pizza is left after his snack?
Answers
Answer:
1/3 of the pizza remains.
Step-by-step explanation:
Matthew eats 1/3 of 1/2 of the pizza, which is (1/3)*(1/2) = 1/6 of the pizza. The amount of pizza left is
1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3
1/3 of the pizza remains.
Determine an equation for the pictured graph. Write your answer in factored form.
Remember to start with f(x) = a (x – ri)(x - 52)...
8
7
2
y =
Answers
An equation for the pictured graph and the equation for the pictured graph in factored form is: y = rs - r - s + 1.
Let's assume the equation for the graph in factored form is: y = a(x - r)(x - s), where 'a' is a constant and 'r' and 's' are the roots of the equation (x-intercepts of the graph). Since we are given that the graph passes through the points (0, -2) and (1, 0), we can use this information to find the values of 'r' and 's.'
Using the point (0, -2):
When x = 0, y = -2.
We can substitute these values into the equation:
-2 = a(0 - r)(0 - s)
Simplifying, we get: -2 = a(-r)(-s) or -2 = ars.
Using the point (1, 0):
When x = 1, y = 0.
Substituting these values into the equation:
0 = a(1 - r)(1 - s)
Simplifying, we get: 0 = a(1 - r)(1 - s).
Now, we have two equations:
-2 = ars (Equation 1)
0 = a(1 - r)(1 - s) (Equation 2)
From Equation 1, we can solve for 'a' in terms of r and s:
a = -2 / rs.
Now, substitute this value of 'a' into Equation 2:
0 = (-2 / rs)(1 - r)(1 - s).
To make further progress, we can divide both sides by -2:
0 = (1 / rs)(1 - r)(1 - s).
Next, to eliminate the fractions, multiply both sides by rs:
0 = (1 - r)(1 - s).
Finally, expand the right side of the equation:
0 = 1 - s - r + rs.
The equation for the pictured graph in factored form is:
y = rs - r - s + 1.
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Solve the equation, Write One solution, No solution and Infinitely Many Solution
1. X = X + 10 ________,_________
Answers
Answer:
No Solution.
Step-by-step explanation:
x=x+10
x-x=10
0=10
I need help with question can anyone help me?
Answers
Answer:
B
Step-by-step explanation:
what is the value of 6^3
Answers
Answer:
[tex]6 \times 6 \times 6 = 216 \\ = 216[/tex]
Answer:
216 Value
6 times 6 times 6 =216
Help!!!! please!!! i will give brainliest!! Find the area
Answers
Answer:
51
Step-by-step explanation:
trapezoid area calculator, A=(a+b/2)h
Please help me! Anything is appreciated!
Answers
Please Help!!!!!! You have twice as many nickels as pennies. you have $1.10. how many of each coin do you have? Solve each problem using a system of equations.
Answers
20 cents x 5 is $1.00 and 10 cents x 1 is 10 cents so it is $1.10 because a nickel is 5 cents so 20x5 is a dollar and a penny is worth 1 cent and 10 pennies is 10 cents so $1.00+$0.10=$1.10 brainliest is appreciated! :)
HURRYY I ONLY HAVE 15 MINS!!! Find (a) the perimeter and (b) the area of the figure. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest hundredth, if necessary.
Answers
Answer:
I only know the area sorry it is 7.065 ft2
Answer:
Perimeter: 7.712
Area: 3.534
Step-by-step explanation:
A= [tex]\pi*r^{2}/2\\[/tex]
L=[tex]\pi *r/2\\[/tex]
HELPP ON GEOMETRY!! Plzzzz
But not links or I’ll report
Answers
Algebra 2
Please help!
Will give brainliest if it’s correct!
Answers
PLEASE HELP ME! Which rule explains why this triangle is congruent?( A) SAS (B).ASA ( C.) AAS (D) triangles can not be proven to be congruent.
Answers
Answer:
AAS
Step-by-step explanation:
Angle K is congruent to Angle N (given), Angle H is congruent to itself (reflexive property), and side JH is congruent to side MH (given).
Help me pls i need help ‼️‼️‼️
Answers
Answer:
C. 3x+2=4
Step-by-step explanation:
6x+4=8
Subtract 4 from both sides.
6x=4
Divide both sides by 6
x=4/6
Simplify it
x=2/3
3x+2=4
Subtract both sides by 2
3x=2
Divide both sides by 3
x=2/3
Hope this helps
Answer and Step-by-step explanation:
The correct answer choice is answer choice 3. [ 3x + 2 = 4 ]
6x + 4 = 8
6x = 4
x = 2/3
_________________________________________________________
3x + 2 = 4
3x = 2
x = 2/3
#teamtrees #PAW (Plant And Water)
Simply the expression
Answers
The simplified expression is: -243v^5
hope this helps ;')
In Cyprus City there are 12,000 adults. 7,500 of the adults in the town are registered voters. In a poll to predict who will be the next mayor, a statistician asks 500 registered voters who they plan on voting for mayor. How many people are in the population of registered voters? And how many people are in the sample taken by that statistician?
Answers
Answer:
Step-by-step explanation:
12
Dante is mailing a box with a length of nine 1/2 inches a width of 8 inches and a height of 6 inches what is the volume of the box
Answers
Answer:
456 in³
Step-by-step explanation:
To find the volume of the box, use the volume formula, V = lwh
Plug in the length, width, and height:
V = lwh
V = (9.5)(8)(6)
V = 456
So, the volume of the box is 456 in³
Calculate the breadth if the perimeter is 16cm and the length is 5cm
Answers
Step-by-step explanation:
Given,perimeter - 16cm
length - 5cm
find breadth,
perimeter of rectangle = l × b
16cm = 5 × b
b = 16/5
b = 3.2 cm
Step-by-step explanation:
Given
perimeter (P) = 16 cm
Length(L) = 5 cm
breadth (b) = ?
We know
P = 2 (L + b)
16 = 2 ( 5 + b)
16 = 10 + 2b
2b = 16 - 10
2b = 6
b = 6 / 2
b = 3 cm
Hope it will help :)❤
Please I will give brainliest
Answers
A reflection is a flip over the
Y-axis
Line of reflection
X-axis
Answers
Answer
LINE OF REFLECTION
Step-by-step explanation:
In geometry, reflection basically just means flipping things over a line.
Ben and Blake both love to collect baseball cards. The ratio of cards that Ben has compared to the number that Blake has is 2:3. If Blake buys 500 more cards, he will have 3800 cards. How many cards does Ben currently own?
Answers
Answer:
2200 baseball cards
Step-by-step explanation:
WILK MARK BRAINLIEST!!
Answers
Answer:
I think the answer is 8.
Step-by-step explanation:
What would be the exponent if you wrote 2,670 in scientific notation? Just write the number for your answer.
Answers
Answer:
2.67 x 10^3
Step-by-step explanation
The exponent is equal to how many numbers are after the decimal point. So, since there are 3 numbers after the decimal point, the exponent would be 3. Hope this helps :)
Simplify 52 · 59.
511
518
2511
2518
Answers
Answer:
5^11
Step-by-step explanation:
The simplification form of the given expression 5² · 5⁹ would be 5¹¹ which is the correct answer that would be an option (A).
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
We have to determine the simplification form of the expression 5² · 5⁹.
The given exponential expression below as:
⇒ 5² · 5⁹
Apply the multiplication operation, and add the exponents because the same base of the exponential expression,
⇒ 5² ⁺⁹
⇒ 5¹¹
Therefore, the simplification form of the given expression would be 5¹¹.
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