Answer:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
[tex]a\ne 0; b \ne 0[/tex]
Required
Evaluate
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
Apply the following law of indices:
[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
So, the expression becomes:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2-(-4)}[/tex]
Remove brackets
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}[/tex]
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Answer:
D. a^3 b^4 / ab^2
Step-by-step explanation:
can someone help me ill give a brainiest
1. 500% Increase
2. 40% Decrease
3. 75% Increase
4. 62.5% Increase
What is the slope of,
(-2,1) and (5,4)?
Answer:
[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]\frac{4-1}{5--2}[/tex] =
[tex]\frac{4-1}{5+2}[/tex] =
[tex]\frac{3}{7}[/tex]
Graph y = 2x - 7
Im doing this on Khan and I always get it wrong
Answer:
Use points (0,-7) and (1,-5)
please see below if you would like a graph.
Step-by-step explanation:
The equation is y=2x-7
we need two points.
The equation is in y=mx+b form, where m is the slope and b is the y intercept
In that case we already know a point, since -7 is in the place of b. The y intercept as a point is (0,b). Therefore, our first point is (0,-7)
We also know the slope of the line, which is 2. The formula for slope is rise/run That means that the next point would be to go right one, and up 2, (both indicate a positive direction), or to the left one, and down 2(both indicate a negative direction.) Let's use the positive way.
going to the right 1=+1 on x. (1, y)
Going up 2=+2=-7+2=-5
Point is (1,-5)
use points (0,-7), and (1,-5)
please see below for a graph to compare.
hope this helps!
Please Help! I will give brainliest
Answer:
-6.3n + 8.6
Step-by-step explanation:
you add the terms together
Answer: -6.3n + 8.6
Step-by-step explanation:
On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes. On Saturday she uses 1 1/2 times as much pancake mix as Friday. What fraction of teh box of pancake mix does Merinda use on Saturday
Answer:
3/8 of the box
Step-by-step explanation:
On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes.
On Saturday she uses 1 1/2 times as much pancake mix as Friday.
On Friday = 1/4 of the box
On Saturday = 1 1/2 × pancake mix as Friday
[tex]\dfrac{3}{2}\times \dfrac{1}{4}\\\\=\dfrac{3}{8}[/tex]
Hence, 3/8 of the box of pancake mix does Merinda use on Saturday.
HELP! (On the ?’s I didn’t answer thank you!
Joseph runs 2/12 miles on Monday. Each day after that, he runs the same 1/13 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?
What is the least number of days after Monday that Joseph needs to run to reach his goal?
Answer:
Step-by-step explanation:
At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.
To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.
3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles
Use the Exterior Angle Inequality Theorem to list all of the angles that measure less than the measure of Angle 1
Angle 9
Angle 5
Angle 8
Answer:
Angle 5
Angle 8
Step-by-step explanation:
[tex] \angle 5 \:\&\: \angle 8[/tex] measure less than the measure of Angle 1.
will give brainly to second person who answers this
Answer:
What
Step-by-step explanation:
What is the explicit formula for this sequence?
5, 2, -1, -4, ...
O A. an= -5+ (n - 1)(-3)
B. an = 5+ (n - 1)(3)
C. an= -3+ (n - 115
O D. a, = 5 + (n - 1)(-3)
Answer:
C. an= -3+ (n - 115)
Step-by-step explanation:
hope it help
Which postulate, if any, make the triangle congruent.??
Please help
Answer:
SAS postulate
Step-by-step explanation:
Jason has a container holding 11.5 quarts of liquid. If he want to find enough containers to hold 13 times this amount of liquid, how many quarts of liquid will the containers need to hold?
Answer: 149.5 quarts
Step-by-step explanation:
From the question, we are informed that Jason has a container holding 11.5 quarts of liquid and that he wants to find enough containers to hold 13 times this amount of liquid.
The number of quarts of liquid that the containers need to hold will be:
= 13 × 11.5
= 149.5 quarts
Your answer
[tex]y/8=5[/tex]what is "y' in y/8=5
Answer:
Y=40
Step-by-step explanation:
Y/8=5
(Y/8)*(8)=(5)*(8)
Y=40
HELPP!!!!
Solving for the Missing Variable
Ex. 1 Determine the range of possible values of x,
9514 1404 393
Answer:
21 ≤ x < 48.3343
19.4030 < t ≤ 62 1/3
Step-by-step explanation:
This sort of geometry has shown up in a number of different problems. Perhaps the most difficult was one in which the angles were given a specific linear relationship. Here, one of the angles is fixed, making the problem somewhat simpler.
The most straightforward approach is to simply say the unknown angle must lie between 0° and 180°. It turns out that is not the possible range of values. Rather there is a limit on the unknown angle. It will have an extreme value when both triangles are isosceles. The lengths of the equal sides in that case can be determined using the triangle with both angle and base length specified.
__
a) For the triangle to be isosceles (MA = MH = MY), the side lengths must satisfy ...
AM·sin(62°/2) = 7.1/2
AM = 3.55/sin(31°) ≈ 6.89269
At that point, angle HMY will satisfy ...
AM = (6.33/2)/sin((2x -42)°/2)
3.55/sin(31°) = 3.165/sin(x-21°)
(x -21)° = arcsin(3.165/3.55·sin(31°)) ≈ 27.3343°
x = 48.3343
Because angle HMY can be smaller than this value, its minimum is 0:
2x -42 = 0
x -21 = 0
x = 21
That is, x can range between 21 and 48.3343.
__
b) Using similar logic on the other triangles, we find the unknown angle has an extreme value when the triangles are isosceles: CA = CB = CD = CD. As above, this will occur when ...
(3t -7)° = 2·arcsin(17/16·sin(24°)) ≈ 51.2091°
t = 19.4030
In this geometry, because AB > DE, the angle can only get larger than 51.2091°. Its upper limit is 180°, meaning that ...
3t -7 ≤ 180
3t ≤ 187
t ≤ 62 1/3
In this geometry, the value of t can range between 19.4030 and 62 1/3.
_____
Additional comment
As we said at the beginning, your computer may be expecting you to come up with an answer that makes the unknown angle lie between 0 and 180°. For that range of angles, you have ...
0 ≤ 2x-42 ≤ 180 ⇒ 0 ≤ x -21 ≤ 90 ⇒ 21 ≤ x ≤ 111
0 ≤ 3t -7 ≤ 180 ⇒ 0 ≤ t -7/3 ≤ 60 ⇒ 7/3 ≤ t ≤ 187/3
Simplify
14^15 over 14^5
What is the midpoint of the line segment with the equation y=12x+3 between x=−4 and x=8?
(6,6)
(2,−2)
(2,4)
(2,2)
Answer:
2,4 ((((((((((((((((((((
What is the solution for the system of equations shown in the graph?WILL GIVE BRAINLY IF ANSWER
Answer:
(2,4)
Step-by-step explanation:
thats the point where both lines meet
Plz I need help on this what is the unit cost in this question?
THE UNIT IS DOLLAR ($).
Step-by-step explanation:
BECAUSE IT IS GIVEN IN TOTAL COST
I need help with this quick question. PLS
Step-by-step explanation:
please sorry to barge into your question without any reasonable answer all I want to say is that this is a graph and I think that the domain and range this is increasing to calculate like the unit for example you have - 9 and - 3 you should calculate how many units are between -9 and -2 I'm not sure and I just really need marks now point where I can get on with my procedure so sorry for just barging in like that I'm so sorry
9514 1404 393
Answer:
x < -5
Step-by-step explanation:
The function is increasing where its slope is positive. That is where each point is higher than the one to its left. You see that is the case for all points to the left of the vertex, which is at x=-5.
The domain where the function is increasing is x < -5.
_____
Additional comment
At the vertex, the function is horizontal, neither increasing nor decreasing. So, the vertex itself is not included in the domains of increase or decrease.
What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3
What is the measure of x?
Angles are not necessarily drawn to scale.
63
PLEASE HELPPP
Answer:
help with what?
Step-by-step explanation:
HELP ME PLEASE.......
Answer:
slope is 2.33
Step-by-step explanation:
*************MUST ANSWER!***************
Sebastian has a points card for a movie theater.
-He earns 85 points just for signing up.
-He earns 2.5 points for each visit to the movie theater.
-He needs 115 points for a free movie ticket.
Write and solve an Equation which can be used to determine v, the number of visits Sebastian must make to earn a free movie ticket.
Answer:
Look Down
Step-by-step explanation:
85+2.5v=115
2.5v=30
v=12
HELP ME WORTH 100 POINTS AND BRAINLIST IF RIGHT
Answer:
Id say 60 since its gonna have to be lower than 90. A I did no math but that seems to be here the answer
Step-by-step explanation:
the answer to your question is A. 60
Ross has a season ticket.
In 2013 the season ticket cost £65.
In 2014 the cost of the ticket was increased by 8%.
In 2015 the cost of the ticket was increased by a further 5%.
Calculate the cost of the season ticket after the two price increases.
Answer:
£73.71
Step-by-step explanation:
Let's compute first for the cost of the ticket in 2014. Let x be the increase in the cost of the ticket. If the cost of the ticket is 8% of £65, then the expression should be like this:
x = 65 x 8%x = 65 x 0.08x = £5.2Let's add £5.2 to £65 ⇒ £5.2 + £65 = £70.2
The cost of the season ticket in 2014 is £70.2.
Next, we'll have to compute the cost of the ticket in 2015. Let y be the increase in cost of the ticket. If the cost of the ticket is 5% of £70.2, then the expression should be like this:
y = 70.2 x 5%y = 70.2 x 0.05y = £3.51Let's add £3.51 to £70.2 ⇒ £3.51 + £70.2 = £73.71
The cost of the season ticket in 2015 is £73.71. This is also the cost of the season ticket after two price increases.
What is the measure, in degrees, of
PLEASE HELP
Answer:
58 degrees
Step-by-step explanation:
Complementary angles add together to 90 degrees
(5x + 8) + (3x + 2) = 90
8x + 10 = 90
x = 10
5(10) + 8 = 58
Please help with these questions please!!!
Answer:
1). x = 0
2). Option 3
Step-by-step explanation:
1). If the two triangles are similar,
Their corresponding sides will be proportional.
[tex]\frac{5x+2}{6}=\frac{x+4}{12}[/tex]
12(5x + 2) = 6(x + 4)
60x + 24 = 6x + 24
60x - 6x = 24 - 24
54x = 0
x = 0
2). Option 1
2(x - 6) + 3 - 5x = -3x - 9
2x - 12 + 3 - 5x = -3x - 9
-3x - 9 = -3x - 9
True.
Option 2
4(2x - 5) + 10 - 5x = 3x - 10
8x - 20 + 10 - 5x = 3x - 10
3x - 10 = 3x - 10
True
Option 3
5x + 4 = 3x + 4
False
Option 4
8x + 3 - 2 = 8x + 1
8x + 1 = 8x + 1
True.
Therefore, option 3 is False.
can someone help me please? find the value of each variable..
Answer:
x = 4, y = 3
Step-by-step explanation:
WEEEEEEEEEEEEEEEEEEEEEEE
Answer:
a^7/8^2
Step-by-step explanation:
Here, we want to write the expression using only positive exponents
An important rule for indices to use here is that;
a^-b = 1/a^b
thus;
8^-2 = 1/8^2
So we have;
1/8^2 * a^7
= a^7/8^2
Write an equivalent expression using the Distributive Property.
Enter the correct answers in the boxes.
35+21=7(_+_)
Answer:
35 + 21 = 7(5 + 3)
Step-by-step explanation:
In this question, we have to write an equivalent expression to the one on the left, while using the distributive property.
Our equation is: 35 + 21 = 7(_ + _), we have to find the missing values.
In the equation, we can see that 7 is divisible to 35 and 21, which means we can simply divide in order to get our missing numbers.
Divide:
35/7 = 5
21/7 = 3
When we plug those values into our equation, it would be:
35 + 21 = 7(5 + 3)
When you use distributive property by distributing the 7 to the number inside the parenthesis, you would get this:
35 + 21 = 35 + 21
When you simplify, you would get the same answer.
56 = 56.
Therefore, your answer would be 35 + 21 = 7(5 + 3)
Answer:35 + 21 = 7(5 + 3) is the answer.
Have a great day!
Step-by-step explanation: