Answer:
1
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
Given
[tex](\frac{1}{x^{(a-b)}) } ^{a+b}[/tex] × [tex](\frac{1}{x^{b+a}) } ^{b-a}[/tex]
= [tex]\frac{1}{x^{(a-b)(a+b)} }[/tex] × [tex]\frac{1}{x^{(b+a)(b-a)} }[/tex]
= [tex]\frac{1}{x^{(a^2-b^2)} }[/tex] × [tex]\frac{1}{x^{(b^2-a^2)} }[/tex]
= [tex]\frac{1}{x^{(a^2-b^2+b^2-a^2)} }[/tex]
= [tex]\frac{1}{x^{0} }[/tex]
= [tex]\frac{1}{1}[/tex]
= 1
well you already got an answer so can i have free 25
A shelter has 5 dogs for every 4.cats. How many cats will the shelter have if they have 25 dogs?
Answer:
20 cats
Step-by-step explanation:
A proportion has to be setup to answer this
5/4 = 25/x
x represents the missing number of cats
This fraction represents the relationship amongst dogs and cats
----
To solve cross multiply
5x = 100
(let me down below if you need an explanation on how to cross multiply)
Divide both sides by 5 in order to get the variable by itself
100/5 = 20
x = 20
The shelter has 20 cats
3x-y=6
-4x+2y=-8 solve using substitution method
Answer:
x= 3y+2
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZZ HELP
O There are 15 students going on a field trip. If 3/5 of them pack their lunches, how many students pack their lunches?
Answer:
Students
Step-by-step explanation:
The Texas rangers team manager receives a delivery of 4 boxes of baseballs each box contains 50 basesballs the texas rangers team maneger examines all the baseballs and finds that 8 of them are defective based on these results what can the Texas rangers team manage A a delivery of 5 boxes will contain 14 defective baseballs B A delivery of 6 boxes will contain 16 defective baseballs C A delivery of 7 boxes will contain 14 defective baseballs D A delivery of 8 boxes will contain 8 defective baseballs
Answer:
B
Step-by-step explanation:
For each box, there is 1 defective lightbulb. Therefore, a delivery of 4 boxes will have 4 defective lightbulbs. A delivery of 2 boxes has 2 defective lightbulbs. 4 defective lightbulbs subtracted by 2 defective lightbulbs equals 2 more defective lightbulbs in 4 boxes than 2. Therefore, it is B.
Answer:C
Step-by-step explanation: 4 boxes , 8 are defective (in total) therefore 2 balls are defective in each . multiply and see what goes by 2’s and done.
Please help asap!! Due today!
Answer:
No for the first
Step-by-step explanation:
Sorry i do not know the second one bt the first one is No it is not a right angle
use the function d=v+9 to find the value of d when v =2
Answer:
D=11
Step-by-step explanation:
Answer:
d = 11
Step-by-step explanation:
Hope this help! Have a great day!
Solve the system of equations.
5x + 2y = 12
5x – 2y = 28
Answer:
x=4 y=-4
Step-by-step explanation:
Step: Solve5x+2y=12for x:
5x+2y=12
5x+2y+−2y=12+−2y(Add -2y to both sides)
5x/5=−2y+12/5
x= −2/5y+12/5
−2/5y+12/5 for x in5x−2y=28
5(−2/5y+12/5)−2y=28
−4y+12=28(Simplify both sides of the equation)
−4y+12+−12=28+−12(Add -12 to both sides)
−4y=16
−4y/−4=16/−4
(Divide both sides by -4)
y=−4
Substitute −4 for y in x=−2/5y+12/5
x= −2/5y+12/5
x=−2/5(−4)+12/5
x=4
microzooplankton is _____ compared to macrozooplankton
a) smaller
b) bigger
c) faster
d) brighter in color
btw yes i put it on math because i feel like more people do math more
a ) smaller is correct answer
Ratio to 6:3?? Write 2 other ways :))
Answer:
6/3, 6:3, and 6 to 3
Step-by-step explanation:
All of these answers above are correct!!!
May I have a Brainliest?
Describe the end behavior of the polynomial function.
Can you guys help me find the slope for the given graph and y-intercept
(pictures included)
Answer:
I believe the answer is
[tex]y = \frac{2}{3} x + 1[/tex]
slope = 2/3x
y-intercept = 1
Step-by-step explanation:
Hope this helps!
Please help me! Itll mean so much!
The volume of a cylinder is 4πx3 cubic units and its height is x units. Which expression represents the radius of the cylinder, in units? 2x 4x 2πx2 4πx2
Answer:
It's A
Step-by-step explanation:
The expression that represents the radius of the cylinder is 2x
What is volume?The volume of a shape (e.g. cylinder) is the amount of space in the shape i.e. the cylinder
Below, is how to calculate the radius of the cylinder
The volume is given as:
V = 4πx³
The volume of a cylinder is:
V = πr²x
By comparison, we have:
πr²x = 4πx³
Divide the common factors
r² = 4x²
Take the square root of both sides
r = 2x
Hence, the expression that represents the radius of the cylinder is 2x
Read more about volumes at:
https://brainly.com/question/1972490
A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a to eat a total of 12 pounds of food per day. Write and solve a linear equation to find the number of days their food will last.
Answer:
y=-12x+250
Step-by-step explanation:
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!!!!!HELP PLEASE !!!!!!
The purchase price of an iPad is $625.00. There is a 15% discount and the tax rate is
8%. What is the total cost of the iPad?
Answer:
$573.75
Step-by-step explanation:
625.00x15%=93.75
625.00-93.75=531.25
531.25x8%=42.50
531.25+42.50=573.75
Answer: I think that the answer is $573.75
please correct me if im wrong.
Step-by-step explanation:
Derrick is placing a right triangle in the coordinate plane. He knows that the longer leg is 3 times the length of the shorter leg. He places the longer leg on the x-axis.
What coordinates should he assign to the third vertex of the triangle?
Answer:
Longer leg is placed on X axis.
Let the longer leg be at A(0,0) and B(3 a,0),or (-3 a,0), which is either base or altitude.
AB= 3 a
As longer leg = 3 × shorter leg
Shorter leg should be placed either at (0,a) or (0,-a) maintaining triangle as right angled triangle.
Step-by-step explanation:
Find two points that would be used to graph the equation y=-2x+5
Answer:
(2,1)(-2,9)
Step-by-step explanation:
what do i say for this
please help :((((
Answer:
Step-by-step explanation:
Error 1) It should be divided by 5.
x - 5 = 0
x = 5
Error 2) -3 15 0 -1 5
coefficient of x² is 0 and it is not included
Each cable car at an amusement park can hold six Riders. There are 51 people in line to ride the cable cars. How many cable cars will the people in line fill? how many more people are needed to fill the next cable car?
Answer:
9 cable cars
Step-by-step explanation:
51 ÷ 6 = 8.5
8.5 rounds up to 9
Answer:
3
Step by step explanation:
54 ÷ 6 = 9
To join a video rental club, a member pays an initial fee plus an additional monthly cost. The equation below describes the relationship between x, the number of months a member rents videos, and y, the total cost in dollars.
y=15+20x
What is the meaning of the rate of change for the equation?
A.
It means the cost per month is $15.
B.
It means the initial fee is $20.
C.
It means the cost per month is $20.
D.
It means the initial fee is $15.
Find the perimeter of the figure. Round to the nearest tenth if needed.
a=50 b=83 c=65
Answer:
263
Step-by-step explanation:
50 + 83 + 65 + 65 = 263
i don’t know witch sides are which but here you go
find the value of x
Answer:
49
Step-by-step explanation:
16 +y =131
Y= 115
115 +16+x=180
X=49
lus
If f(x) = 3x + 7, find:
f(3) = [?]
Answer:
The answer is 16
Step-by-step explanation:
You substitute 3 in for x.
In the diagram, l1 is parallel to €2.
Answer:
A) 45°
Step-by-step explanation:
A) 45°
Quadrilateral MNOP is similar to quadrilateral SURT
Answer:
C is the anser i belive i im wrong im sorry
Step-by-step explanation:
the population after t years can be modeled by -300+150,000 and 500t + 200,000. what is the difference in populations in the cities when t=6 in the populations
What is the inverse of the function f(x) = x +3
Answer:
h(x) = x-3
Step-by-step explanation:
The inverse of a function works such that f(h(x)) = x. Also, f(h(x)) = h(x) + 3. Thus, x = h(x) +3 -> h(x) = x-3
i hope this helps!!! :)
Consider these functions:
f(x)=3x - 7
g(t)=1+1
What is the value of f(g(3))?
A.-1
B.0
C.3
D. 5
Answer:
A(-1)
Step-by-step explanation:
First, we will replace any x in g(x) with 3
g(x)=(3+1)/(3-1)=4/2=2
Thwn replace any x in f(x) with 2
f(x)=3(2)-7=6-7=-1 ⇒A
hope this helps