Find the formula for the nth term of these sequences:
(a) 2, 5, 10, 17, 26, …….
(b) 4, 10, 20, 34, 52, ………
Part of a geometric sequence is given below:
,,,,, -1, ,,,, , ,,,,,, 64, ,,,,,
Where uₙ means the nth term, hence, u₂ = -1, and u₅ = 64.
Second term is -1, and the fifth term is 64. Calculate:
(a) The common ratio (r)
(b) The value of the first term (a) or u₁
(c) The value of the 10th term.
I need it by today!! and please for the people who type to get points please dont do it with me
A child makes a pitcher of fruit punch by completely dissolving fruit- flavoured powder in water. The child drinks a glass and decides the punch needs to be sweeter, so she stirs in more powder. This time the powder does not all dissolve, but settles on the bottom of the pitcher. A) Is the fruit-flavoured powder a pure substance or a mixture? * helpme anyone?
1.) Subtract unlike fractions using the butterfly method.
.
WIN
-
1
6
-
1/4
O 1/2
O 1/3
O 1/5
Answer:
1/2
Step-by-step explanation:
So we multiply 2 by 6, and get 12.
Then we multiply 1 by 3, and get 3.
Next we give both terms new denominators
So now our fractions look like this:
12/18-3/18
Since our denominators match, we can subtract the numerators.
12 − 3 = 9
So the answer is:
9/18
So we reduce it:
9/18divided by 3=3/6
so since it’s equivalent we reduce it again
3/6divided by 3 which equals 1/2
and that’s our final answer 1/2
I hoped that this helps :)
what is y=3/4x-2 in standard form
Answer:
Hi! The correct answer is 3x-4y=8
Step-by-step explanation:
The eggs of a certain insect hatched after heavy rain. The population of these insects can be modeled by the expression 192 times (2)^x-5.
Answer:
someone answer this pls
Step-by-step explanation:
What is 5884 diveded by 94?
Answer:
62.5957447
Step-by-step explanation:
= 62 R 56
= 62 56/94
= 62 28/47
Answer:
The answer is 62.6
Step-by-step explanation:
What is the greatest common factor (GCF) of 20 and 28???
A. 6
B. 4
C. 2
Answer:
B, 4
Step-by-step explanation:
The greatest common factor of 20 and 28 is 4
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
10
9
8
7
6
6 5
5
4
3
2
2
1
х
0 1 2 3 4 5 6 7 8 9 10
Answer: 3/5
Step-by-step explanation:
[tex]\frac{6-3}{5-0}=\boxed{\frac{3}{5}}[/tex]
What is 1/2x(4+6x3)-9?
Answer:
Answer is 2
Step-by-step explanation:
Answer:
1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.
A piano has 88 keys. Fifty-two of the keys are white.
How many more white keys are there than black keys?
Answer:
36
Step-by-step explanation:
88 - 52
=36
The volume of a cylinder whose radius is 2r cm and height h/4cm is______________
Answer:
V=πrh/2
Step-by-step explanation:
volume of a cylinder can be calculated using below formula
V=πr2h
Given:
radius =2r cm
height= h/4cm
If we substitute the given value into the formula we have πrh/2
V= π ×(2r) ×(h/4)
Simplyfying
V=πrh/2
Hence, The volume of a cylinder is V=πrh/2
MMMM THE MODERATORS ARE MAKING ME FLIPPING ANGRY! I NEED SOMEONE TO ANSWER MY QUESTION PLEASE .
Answer:
780
Step-by-step explanation:
So 5% is 39 so 5% x 20 is 100% do the same with the 39 so do
39 x 20 = 780
Find the perimeter and area of this shape
[tex] \boxed{ \sf{Area \: = 57 \: {cm}^{2} }}[/tex]
[tex] \boxed{ \sf{Perimeter = 34 \: cm}}[/tex]
See workings in the attached picture !
Hope I helped ! ツ
Have a wonderful day / night ! ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
if u work it out then i will give lots of brinilets (pls show workings out)
:P
Answer: The winning order is:
Spike
Boris
Percival.
Step-by-step explanation:
We can write the number of steps that each one did as linear relationships of the form:
y = a*x + b
where:
a represents the slope, in this case, is the velocity of each kid.
x represents the time
b represents the steep at which each one starts.
We know that the race is completed with 99 steps.
Now, we know that in one unit of time (we do not know how long this is, and this does not matter).
Boris can run 5 steps in one unit of time
Spike can run 4 steps in one unit of time
Percival can run 3 steps in one unit of time.
Now let's write the equations for each one.
B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:
B(x) = 5*x + 0
B(x) = 5*x
Now we can find the number x needed to reach the 99 step, this is:
B(x) = 99 = 5*x
99/5 = x = 19.8
Boris needs 19.8 units of time to finish the race.
S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:
S(x) = 4*x + 21
Let's find the value of x such that S(x) = 99
S(x) = 99 = 4*x + 21
99 - 21 = 4*x
78 = 4*x
78/4 = x = 19.5
So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.
P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:
P(x) = 3*x + 38
Again, we want to find the value of x such that P(x) = 99
P(x) = 99 = 3*x + 39
99 - 38 = 3*x
61 = 3*x
61/3 = x = 20.33
So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.
The winning order is:
Spike
Boris
Percival.
0.00002004 and 0.01203000 in scientific notation
Answer:
Below...
Step-by-step explanation:
Scientific Notation:
2.004 × 10-5
Scientific Notation:
1.203 × 10-2
How many kilometers are there in 4 miles?
Hint: 1 mi ≈ 1.6 km
Round your answer to the nearest tenth.
Match the symbol with its corresponding category.
Answer:
N-Natural
R-Real
Z-integer
Q-rational
You have two identical boxes which an interior dimensions of 8.0x8.0x8.0. You completely fill one of the boxes with wooden spheres that are 1.6 in diameter. The other box gets filled with wooden cubes that are 1.6 cm on each edge. After putting the lid on the filled boxes, you then measure the density of each. Which one is more dense?
Answer: The one filled with wooden cubes.
Step-by-step explanation:
First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.
In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm
We know that:
1.6cm*5 = 8cm
Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).
Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.
And we know that:
density = mass/volume.
Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.
what is m
picture below!!Answer:
Please check the explanation.
Step-by-step explanation:
We know that a pentagon is a polygon with 5 sides and 5 angles.
Given the polygon with 5 angles.
A pentagon is a polygon with 5 sides and 5 angles.
The angles of the given pentagon are:
∠P = (4x + 2)°
∠Q = 132°
∠R = (4x - 10)°
∠S = (5x - 11)°
∠T = 128°
We know that the sum of the measures of the interior angles of a pentagon is 540 degrees.
Therefore,
∠P + ∠Q + ∠R + ∠S + ∠T = 540°
(4x + 2)° + 132° + (4x - 10)° + (5x - 11)° + 128° = 540°
group similar elements
4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540
simplify
13x + 241 = 540
subtract 241 from both sides
13x + 241 - 241 = 540 - 241
13x = 299
divide both sides by 13
13x/13 = 299/13
x = 23
Thus, the value of x = 23
Therefore, the measure of angle ∠S is:
m∠S = (5x - 11)°
= (5(23) - 11)°
= (115 - 11)°
= 104°
Thus,
m∠S = 104°
Evaluate f(x)=−7x−5 when x=−6.
f(−6)=
Answer:
f(_6) = _7(_6)_5
=42_5
=37
Solve for x
7x = 2
Give your answer as a fraction in its simplest form
Answer:
2/7
Step-by-step explanation:
7x/7=2/7
Simplify:Cancel terms that are both the numerator and denominator
Solution: 2/7
The image of the point (1, -3)(1,−3) under a translation is (-4, -2)(−4,−2). Find the coordinates of the image of the point (-3, 7)(−3,7) under the same translation.
Answer:
The new points under the translation are (-8,8) and (-8,8)
Step-by-step explanation:
The method is actually quite simple and only involves basic arithmetic. The first step is to identify the translations occurring to each coordinate. If we recall that an ordered pair is (x,y), we can assign the translations to each value. Let's take the first point (1, -3) to start. 1 is our x and -3 is our y. If we then look at the translated point we can see that the x value there is -4. Then we can simply subtract the new x value, -4, from the first one, 1, and get 5. 5 is the number that we have to subtract from the next coordinate set to get the translated set. This gets us the first value of the second point -8 which we got by subtracting our 5 from the -3 in the x. Next, we can do the y value. The process is identical. Subtract the new from the old, -3-(-2)=-1. We then simply subtract the negative one (or just add one) from the y value of the other set. This gives us a value of 8, 7-(-1)=8. Then compound the two together putting x first then y and there you have it! Happy to help, Mw
Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.
If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?
Answer:
3.25
Step-by-step explanation:
What is the distance from (6,0) to (8,0)?
Answer:
The distance should be 10 I believe
what is an equation of the line that passes through the point (5,1) and is parallel to the line x+y=9
Type the missing number in this sequence:
1, 2, 5, 10, , 26, 37, 50
Y + 2 = -3/4 ( x +1 )
Answer:
Step-by-step explanation:
Please help <3
Not sure about this lol-
Answer:
C) 20
Step-by-step explanation:
3^4−21/3
Convert the exponent to a number
=81−21/3
Subtract
=60/3
Simplify
=20
It's always okay if your not sure about something
keep on trying :D
Determine whether the triangles are similar.
similar it is just 3 times bigger but similar
Help me please if you get it right brainless for you ^-^
Answer:
C
Step-by-step explanation:
I read it.
Answer:
Step-by-step explanation:
To increase Readers' interest.
Explanation: The similarity in this excerpt is that, The sun's disappearance after sunset is similar to the way an object disappears near a black hole.
