Answer:
[tex]\displaystyle\displaystyle \frac{27^{1/3b}}{9^{1/2a}}=\frac{1}{9}[/tex]
Step-by-step explanation:
We are given that a and b are positive integers such that:
[tex]a-b=2[/tex]
And we want to evaluate:
[tex]\displaystyle \frac{27^{1/3b}}{9^{1/2a}}[/tex]
First, note that 27 = 3³ and that 9 = 3². Therefore:
[tex]\displaystyle =\frac{(3^3)^{1/3b}}{(3^2)^{1/2a}}[/tex]
Simplify:
[tex]=\displaystyle \frac{3^b}{3^a}[/tex]
Using the quotient property of exponents:
[tex]=3^{b-a}[/tex]
From our given equation, we can divide both sides by -1 to acquire:
[tex]-a+b=-2\text{ or } b-a=-2[/tex]
Therefore:
[tex]=3^{-2}[/tex]
Hence, our answer is:
[tex]\displaystyle\displaystyle \frac{27^{1/3b}}{9^{1/2a}} =\frac{1}{3^2}=\frac{1}{9}[/tex]
1. أوجد احداثيي كل نقطة من النقط E,a,b,c,d,
حيث :
Oc=0A+ob
OB=2j
OE = 2AC ، OD = - 2i+3
2. عين مركبات كل شعاع من الأشعة التالية: 3BC+AB, AB+-3BC
Answer:
Um what’s this language?
Step-by-step explanation:
Could somebody please help with this? I don't quite understand it. Due by the end of today.
WILL GIVE BRAINLIEST!!
complete orbit around the sun for Saturn is approximately 5.7 x 10^9 miles and takes approximately 3 x 10^1
Earth years. About how far does Saturn travel in 1 Earth year?
(A) 1.9 x 10^7 miles
(B) 1.9 x 10^8 miles
(C) 1.7 10^11 miles
(D) 1.7 X 10^12 miles
Answer:
I choose option C
Step-by-step explanation:
I really not sure.
sort of 50/50.
so if I am right plz give brainliest
Answer: The answer is B
Step-by-step explanation:
I had the same test
ILL BRAINLIEST YOU IF YOU GET IT RIGHT! Please help me
Answer:
x = 25
Step-by-step explanation:
If JK and MN are parallel lines, then ∠JKL = ∠LMN = 61°
By the opposite angle rule, ∠JLK = 39°
In a triangle three angles sum up to 180°
so, ∠JLK + ∠JKL +LJK = 180°
39° + 61° + 3x+ 5 = 180°
3x = 75
x = 25
Step-by-step explanation:
[tex]61 + 39 + 3x + 5 = 180 \\ \\ 105 + 3x = 180 \\ \\ 3x = 180 - 105 \\ \\ 3x = 75 \\ \\ x = 75 \div 3 \\ \\ x = 25 \\ [/tex]
how much food can this container hold if its 3 on the top and 9 on the side
The measure of one side of a square is
x + 5. Which expression represent the area and perimeter of the square.
Answer:
Area of a Square is the square of its side. In your question, the length of the side of the square is 5x and the calculates to (5x^2)square units.
Area of Square = (side^2)
Step-by-step explanation:
Stephen spent $12.35 at a food truck. He bought 3 burgers for $1.25 each and 4 corndogs.
How much did Stephen pay for each corndog?
$2.86
$8.60
$2.77
$2.15
Answer:
The 3rd one 2.15
Step-by-step explanation:
12.35 in whole
1.25 x 3 = 3.75
12.35-3.75= 8.60
[tex]\sqrt[4]{8.60}[/tex] = 2.15
pls give brainlist <33
Answer:
$2.15
Step-by-step explanation:
Start off by multiplying $1.25 by 3 to find out how much the burgers are all together. This would be $3.75 for all three of the burgers. Then subtract $3.75 from the total amount spent ($12.35). This would give you $8.60. To find how much he spend on each corndog, you do $8.60 divided by 4. This would give you the answer of $2.15.
whats the annulus of the shaded area?
Answer:
19.20
Step-by-step explanation:
c = 13.86
simplify 4^3 x 4^5 a. 16x15 b. 16^8 c. 4^15 d. 4^8
Answer:
4^8
Step-by-step explanation:
4^3 x 4^5 = 4^3+5 = 4^8 = 65536
What is the shape of the cross section created by plane A?
Answer:
B
Step-by-step explanation:
The base is a square
Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?
(x – 9)2 + (y + 4)2 = 25
(x + 4)2 + (y – 9)2 = 25
(x – 9)2 + (y + 4)2 = 100
(x + 4)2 + (y – 9)2 = 100
Answer:
(x + 4)^2 + (y – 9)^2 = 25
Step-by-step explanation:
The standard form for a circle is
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex] where (h, k) is the center and r is the radius
In your case, h = -4 and k = 9 and r = 5
So, (x + 4)^2 + (y – 9)^2 = 25
The equation for this circle is given as
[tex](x+4)^2 + (y-9)^2 = 25[/tex]
Data
h = -4k = 9r = diameter/2 = 10/2 = 5Equation of CircleThe equation of circle is given by
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Let's substitute our values and get our equation
[tex](x--4)^2 + (y-9)^2 = 5^2\\(x+4)^2 + (y-9)^2 = 25[/tex]
we substituted the values of h and k and made sure it's in the standard form of equation of a circle.
The equation for this circle is given as
[tex](x+4)^2 + (y-9)^2 = 25[/tex]
This looks exactly like
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Learn more on equation of a circle here;
https://brainly.com/question/15214797
Eli won 2 out of 3 chess games one day. At this rate, if he played 33 games, how many did he win?
Answer: 16.5
Step-by-step explanation:
Liam had 75% more magnets than John at first. Liam gave away 200% as many magnets as John. John was left with 25% of the magnets he had at first. What fraction of Liam's magnets did he have in the end?
Answer: 6/4x
Then John ended up with v/4 magnets and gave away (3/4)x
Liam gave away 2 ( 3/4)x = 6/4x magnets and was left with x/4 magnets
Notice that they have the same number now so John has 100% of Liam's magnets
Step-by-step explanation:
Give me brainllest
PLEASE HELP ME!!!
A car travels 22 km due south and then 28 km in a direction 60° east of south. Find the magnitude of the car's resultant vector.
Answer:
Step-by-step explanation:
32 km 24 km What is the length of the hypotenuse? C = kilometers
Answer:
40 kilometers
Step-by-step explanation:
the hypotenuse is a² + b² = c²
so first we have to get 32 and 24 into ²
32² = 1024 (32 × 32)
24² = 576 (24 × 24)
1024 + 576 = 1600
now we need to find the square root of 1600
√1600 = 40 (calculator)
therefore, the hypotenuse is 40 kilometers
goodluck, hope this helped,
-cheesetoasty
0, 4, -2, 2/3, -1.8, 16, 3.2, -5/4 Which numbers are rational numbers that are not integers?
Answer:
rational but not integers: 2/3, -1.8, 3.2, -5/4
Step-by-step explanation:
HELP!! URGENT!! 75 POINTS + BRAINLIEST!!
Taylor bought some jeans on sale. The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans. Find the amount of money Taylor spent,
Answer:
30
Step-by-step explanation:
Let the amount of money Taylor spent = x
The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans.
Hence
1/5 × x = 6 jeans
x/5 = 6 jeans
Cross Multiply
x = 5 × 6 jeans
x = 30
The amount of money Taylor spent = 30
Sam can make 15 pizzas in 2.5 hours. At this rate, how many could he make in an 8 hour work day? What is Sam´s rate per hour?
A copy machine makes 45 copies in 25 second. Find the unit rate of copied per second.
A sign in a store says 3 pens for $2.70. How much would 10 pens cost?
What is the unit price of 10 pounds of potatoes that cost $2.80?
Answer:
1) Sam makes 48 pizzas in 8 hours. Sam makes 6 pizzas per hour.
2) The machine makes 1.8 copies per second.
3) 10 pens cost $9.00
4) $0.28
Step-by-step explanation:
1)
[tex]\frac{15}{2.5} =\frac{x}{8} \\\\2.5x=120\\x=48[/tex]
[tex]\frac{15}{2.5} =\frac{x}{1} \\\\2.5x=15\\x=6[/tex]
2)
[tex]\frac{45}{25} =\frac{x}{1} \\\\25x=45\\x=1.8[/tex]
3)
[tex]\frac{3}{2.7} =\frac{10}{x} \\\\3x=27\\x=9[/tex]
4)
2.8/10 = 0.28
can someone help me with this please
Determine if the number below is written in correct scientific notation, and why or why not.
56.987 x 10
After how many years since leaving the band can Jake expect to have 1,000 members left in his fan club? Input your answer to the nearest tenth of a year. Then click done.
Answer:
9.4 years
Step-by-step explanation:
It is given that Jake left the band.
We are required to find after how many years the band would have 1000 members left since Jake left the band.
The graph is provided where the x-axis represents the number of years since Jake left the band and y-axis which shows the number of fan club members.
It also represents the equation which is [tex]$y=-2,129.75x+21,028.35$[/tex]
According to the question, when we substitute y i.e. number of members in the fan clubs as 1000 in the above equation ,we get :
[tex]$y=-2,129.75x+21,028.35$[/tex]
⇒ [tex]$1000=-2,129.75x+21,028.35$[/tex]
⇒ [tex]$-21,028.35+1000=-2,129.75x$[/tex]
⇒ [tex]$-20,028.35=-2,129.75x$[/tex]
⇒ [tex]$x=\frac{-20,028.35}{-2,129.75}$[/tex]
[tex]$x=9.40$[/tex]
Therefore, x =9.4 years
Help me plsss thx if u do✨✨
An easel with sides of equal length opened and placed on a desk. What type of triangle is formed by the easel and the desk by sides and by angles?
Answer:
isosceles right triangle
Step-by-step explanation:
In this question it is given that the two sides of easel are same.
A triangle formed has three sides - two of easel and one of the table itself.
The angle formed in 90 degrees (right angle)
Hence the triangle is a isosceles right triangle
Explanation on How to answer what is the density of an object that has a mass of 73,430 and the volume of 7 m3
Answer:
Density = 10,490 g/m³
Step-by-step explanation:
Density = mass ÷ volume
here mass = 73,430 g
volume = 7 m³
density = 73,430 ÷ 7
= 10490 g/m³
Density = 10,490 g/m³
Please help What is the distance between points (5, 2) and(-3,-4) on the coordinate
plane? *
Answer:
10 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (5, 2) and (x₂, y₂ ) = (- 3, - 4)
d = [tex]\sqrt{(-3-5)^2+(-4-2)^2}[/tex]
= [tex]\sqrt{(-8)^2+(-6)^2}[/tex]
= [tex]\sqrt{64+36}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
Use the Pythagorean Theorem to find the distance between points A and D.
es -))
A)
22
B)
2/3
C)
3/5
D)
134
Answer:
The answer is C
Step-by-step explanation:
i did the test
for triangle FGH, angles F and G are known, as is the length of side h. Which method should be used to start solving triangle FGH?
- neither law can be used
- law of sines
- law of cosines
- both laws can be used
Answer:
Law of sines
Step-by-step explanation:
i took the test
The law of sines can be used to calculate the side h. Hence, option B is correct.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
For triangle FGH, angles F and G are known, as is the length of side h. The sin angle is the ratio of the perpendicular to the hypotenuse we can calculate one side by using the sine angle.
Hence, Hence, option B is correct.
To know more about Trigonometry follow
https://brainly.com/question/24349828
#SPJ2
question:25y²-1
answer
Answer:
(5y - 1)(5y + 1)
Step-by-step explanation:
Assuming you require the expression to be factorised.
25y² - 1 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
25y² - 1
= (5y)² - 1²
= (5y - 1)(5y + 1)
Answer:
Below.
Step-by-step explanation:
25y²-1
This is the difference of 2 squares and it factors to (5y - 1)(5y + 1).
Pls help! Will give brainliest
Answer:
a = 1, b = -9, c = 14; Solutions = 2,7
Step-by-step explanation:
x² has a coefficient of 1
-9x has a coefficient of -9
14 has a coefficient of 14 (Pretty obvious)
Factor the equation:
(x-2)(x-7) = 0
x = 2,7