Cuales son los terminos que siguen en cada sucesion:a)2,4,8,16,32,64,....B)1,3,5,7,9,....C)1,3,6,10,15,21,28,36,45
Answer:
a) Número siguiente = Número anterior * 2
b) Número siguiente = Número anterior + 2
c) Número siguiente = Número anterior + (n + 1)
Step-by-step explanation:
a) Para la secuencia 2,4,8,16,32,64, ....
El siguiente número es dos veces el número anterior.
Por ejemplo, 4 = 2 * 2, 8 = 4 * 2, 16 = 8 * 2 etc.
b) Para la secuencia 1,3,5,7,9, ....
El siguiente número es igual al número anterior + 2
Por ejemplo, 3 = 1 + 2, 5 = 3 + 2, 7 = 5 + 2 etc.
c) Para la secuencia1,3, 6,10,15,21,28,36,45
La diferencia entre los números aumenta en +1.
3-1 = 2
6-3 = 3
10-6 = 4
15-10 = 5
21-15 = 6
28-21 = 7
A water tank has a dimension 3 m long, 1.8 m wide and 2.2 m
high. It has a capacity of:
Answer:
The answer is 11.8 m
Step-by-step explanation:
Hey Mate,
the volume of a cuboid is = whl....so the volume of it is the capacity of the tank
so 3 x 1.8 x 2.2 = 11.88 m is the answer
At the grocery store last week, small boxes of facial tissue were on sale at 4 boxes for $5. This week they mark a new price at 5 boxes for $4. What is the percent decrease in the price per box this week?
Answer: 36%
Step-by-step explanation:
Since the price last week, was 4 boxes for $5. Therefore, the price per box will be:
= $5/4
= $1.25 per box
This week they mark a new price at 5 boxes for $4. The price per box will be:
= $4/5
= $0.8 per box
The percent decrease in the price per box this week will be:
= (1.25 - 0.80)/1.25 × 100
= 0.45/1.25 × 100
= 36%
The Percentage decrease is 36%
Which statement is true regarding the graphed
functions?
96)
10
18
1509
f(0) = 2 and g(-2) = 0
f(0) = 4 and g(-2) = 4
O f(2)= 0 and g(-2) = 0
Of(-2) = 0 and g(-2) = 0
654 -3 -2 -12
5 6 x
-4
-6
-8
-10
-124
Answer:
f(2) = 0 and g(-2) = 0
Step-by-step explanation:
0.8 is the slope of the line M'N'.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
So, the coordinates of M' are (0.82, 0.84) = (1.6, 3.2), and the coordinates of N' are (0.83, 0.85) = (2.4, 4).
Now, we can find the slope of line M'N' using the slope formula:
slope of M'N' = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) = (1.6, 3.2) and (x2, y2) = (2.4, 4).
slope of M'N' = (4 - 3.2) / (2.4 - 1.6)
the slope of M'N' = 0.8
Therefore, the slope of line M'N' is 0.8.
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No files just type it in
( 3 × 5 ) + ( 2 × 4 ) =
15 + 8 = $ 23
( 3x + 1 ) ( x - 4 ) - ( x + 2 ) ( x - 3 ) = ( 2x + 5 ) x
Giúp tớ tính với
[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]
[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]
[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]
[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]
[tex] ➺\: - 15x = - 2\\[/tex]
[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]
[tex]➺ \: x = \frac{2}{15}\\ [/tex]
[tex] ➺\: x = 0.1333[/tex]
[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]
4. What is the unit rate for a pound of seed? Circle the correct answer choice.
Pounds of Seed
10
20
Total Cost
$17.50
$35.00
$52.50
$70.00
30
40
$3.50
$1.75
$17.50
$7.25
===================================================
Explanation:
To get the unit cost, we divide the total cost over the number of pounds.
We can do this for any row
row one: ($17.50)/(10) = $1.75row two: ($35.00)/(20) = $1.75row three: ($52.50)/(30) = $1.75row four: ($70.00)/(40) = $1.75You don't need to show all four row calculations. You can simply pick one row.
This tells us that each pound costs $1.75
Put another way: the price is $1.75 per pound
Solve the equations and graph the solution
Given:
The inequalities are:
[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]
To find:
The solution for the given inequalities and graph the solution.
Solution:
We have,
[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]
Solve the above inequalities separately.
[tex]-5x<-3[/tex]
Divide both sides by -5.
[tex]x>\dfrac{-3}{-5}[/tex]
[tex]x>\dfrac{3}{5}[/tex] ...(i)
And,
[tex]2x<-8[/tex]
Divide both sides by 2.
[tex]x<\dfrac{-8}{2}[/tex]
[tex]x<-4[/tex] ...(ii)
From (i) and (ii). we get
[tex]x<-4[/tex] or [tex]x>\dfrac{3}{5}[/tex]
The interval notation of the solution is [tex](-\infty,-4)\cup \left(\dfrac{3}{5},\infty\right)[/tex].
The graph of the solution is shown below.
What 2 numbers add to get -9 and multiply to get -30?
Answer:
[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
Step-by-step explanation:
Let be x the first number and y the second number.
So we have:
[tex]x+y=-9[/tex] (1)
[tex]x*y=-30[/tex] (2)
Solve x from equation 1 and put it into equation 2
[tex]x=-9-y[/tex]
[tex](-9-y)*y=-30[/tex]
[tex]-9y-y^{2}=-30[/tex]
[tex]y^{2}+9y-30=0[/tex]
Solving this quadratic equation and put it on the equation (1) the solutions will be:
[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
I hope it helps you!
a freight elevator has a weight limit of 2 tons. Each crate that is loaded weighs 80 pounds. What is the greatest number of crates that can be loaded on to the elevator?
25
500
250
50
Please help meh TvT
Answer:
50 crates
Step-by-step explanation:
First we need to convert 2 tons into pounds; 2 short tons = 4000 pounds, so the greatest number of crates that can be loaded onto the elevator is 4000 Hope this helps >:D
What is the lowest value of the range of the function
shown on the graph?
4+
oc
3
O-2
2
OO
O 3
3 45 x
-5 4 -3 -2 -11
12+
-3+
M
-5
Answer:
it's -2 because the lowest the the line is is at the -2 mark under 0
The lowest value of the range of the function is -2, as shown on the graph. The correct answer is an option (B).
What are the Maxima and Minima of a Function?The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph.
The point is (3, -2), where the function reaches its minimum value.
The y-coordinate of this point represents the lowest value of the range of the function.
Here, the y-coordinate is -2.
Thus, the lowest value of the range of the function is -2.
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2. Which equation represents a line that is perpendicular to the line
represented by y = 2/3 + 1
The graphs below have the same shape. What is the equation of the blue
graph?
F(X) = x2
5
G(X) = ?
5
G(X) =
Answer:
[tex]g(x) = (x - 2)^2 + 1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
Required
Determine g(x)
f(x) represents the parent function. And from the graph, we have:
[tex]f(x) = x^2[/tex]
f(x) is first shifted 2 units right.
The rule is:
[tex]f'(x) = f(x - 2)[/tex]
So, we have:
[tex]f'(x) = (x - 2)^2[/tex]
Next, f'(x) is shifted 1 unit up to give g(x), the blue graph.
The rule to this is:
[tex]g(x) = f'(x) + 1[/tex]
[tex]g(x) = (x - 2)^2 + 1[/tex]
You want to nail your 4 championship plaques onto a wooden
plank. The plaques are each 5 inches wide, and the plank
measures 33 inches in length. If you have 2 inches of space on
both ends of the plank and want to space out your plaques
evenly, how much space should there be between each
plaque?
=============================================================
Explanation:
The overall plank is 33 inches long. Subtract 2 copies of 2 inches off to represent those left and right 2 inches of space at each end.
33 - 2*2 = 33 - 4 = 29
So we have 29 inches to work with.
There are 4 plaques to hang up, and each is 5 inches wide. So that accounts for 4*5 = 20 inches of space just for the plaques themselves. We have 29-20 = 9 inches left for the gaps between plaques.
Since we have 4 plaques, there are 4-1 = 3 gaps between the adjacent plaques. The gap width is 9/3 = 3 inches.
See the diagram below. The values in black are the widths of each championship (5 inches each). The values in red are the gaps either between the plaques or between the plaque and the edge of the plank.
As a check, the values in that diagram should add to 33.
2+5+3+5+3+5+3+5+2 = 33
So the answer is confirmed.
In a group of students, every student needs to make a bookmark for each of their groupmates. If the total bookmarks made is 42, how many students are there in this group?
7
Hope this helps! :)
______________
Answer:
very easy there are 42 students because every student needs a bookmark for each of their groupmates
I need help with this problem, please give a step by step explanation, will award brainliest
Answer:
ok so if they are congreant that mean the
x=38
Answer:
38
Step-by-step explanation:
Because both x and the 38° can create a linear pair with the same angle, they must be equal. Linear pairs are equal to 180°
Name the bottom angle C.
X + C = 180 (linear pair)
38 + C = 180 (linear pair)
X + C = 38 + C Subtract C from both sides
X = 38
Please help me please ASAP
Answer:
x = 17
Step-by-step explanation:
(5x-23) + (7x-1) = 180
12x - 24 = 180
12x = 204
x = 17
Answer:
x = 17
Step-by-step explanation:
The 2 given angles are same- side interior angles and sum to 180° , then
7x - 1 + 5x - 23 = 180
12x - 24 = 180 ( add 24 to both sides )
12x = 204 ( divide both sides by 12 )
x = 17
In the diagram below, DE is parallel to XY. What is the value of y?
8
100
ya
O A. 120
B. 100
o
C. 80
o
D. 60
PREVIOUS
Answer:
100 is answer for math picture
Answer: 80
Step-by-step explanation:
180-100 = 80, y=80
Triangle ACB is the pre-image and triangle DFE is the image. What is the scale factor of the dilation?
Answer:
½
Step-by-step explanation:
the scale factor of dilation = 6/12 = ½
log base 16 of 256 -log base 16 of 16
Answer:
What’s the question
Step-by-step explanation:
ANNNSWER PLZ 20 c rule
Answer:
No solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
5m−2(m+3)+6/2
=3m−4/2
Step 1: Simplify both sides of the equation.
5m−2(m+3)+6/2
=3m−4/2
5m+(−2)(m)+(−2)(3)+6/2
=3m+−2(Distribute)
5m+−2m+−6+3=3m+−2
(5m+−2m)+(−6+3)=3m−2(Combine Like Terms)
3m+−3=3m−2
3m−3=3m−2
Step 2: Subtract 3m from both sides.
3m−3−3m=3m−2−3m
−3=−2
Step 3: Add 3 to both sides.
−3+3=−2+3
0=1
Answer:
There are no solutions
Answer:
No solutions
Step-by-step explanation:
[tex]5m-2(m+3)+\frac{6}{2} =3m-\frac{4}{2}[/tex]
[tex]5m-2m-6+\frac{6}{2} =3m-\frac{4}{2}[/tex]
[tex]5m-2m-6+3 =3m-2[/tex]
[tex]5m-2m-3 =3m-2[/tex]
[tex]3m-3 =3m-2[/tex]
[tex]3m-3+3 =3m-2+3[/tex]
[tex]3m=3m+1[/tex]
[tex]3m-3m =3m- 3m+1[/tex]
0 = 1
No solutions
There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the
probability that the mystery books are next to each other, the romance books are next to each other, and the
poetry books are next to each other? (For example, MMRRPP).
Answer:
there would be a 2 out of 6 chance i think
Step-by-step explanation:
HELP PLEASE I WILL GIVE BRAINLY TO CORRECT ANSWER PLS.
2 The graphs of y = 3x + 7x – 4 and y + 2x = 10 intersect at the points A and B.
Find the coordinates of A and B.
You must show all your working and give your answers correct to two decimal places.
Answer:
Check the text of the exercise, there is something wrong
Step-by-step explanation:
y=10x-4
y=-2x+10
These are two stright lines, they meet in one point only, P(7/6, 23/3)
1/7 divided by 2/5 minus 1/7
QUESTION 2
dobsond bis
Simplify the following
a5 x a?
Answer:
[tex]a^{6}[/tex]
Step-by-step explanation:
Assuming you mean [tex]a^{5}[/tex] × a
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]a^{5}[/tex] × a
= [tex]a^{5}[/tex] × [tex]a^{1}[/tex]
= [tex]a^{(5+1)}[/tex]
= [tex]a^{6}[/tex]
5 3 Divide: 3 4
[tex] \frac{5}{?8 \div \frac{3}{?4} } [/tex]
Answer:
Step-by-step explanation:
x
Find the volume of this sphere.
Use 3 for TT.
Using the formula shown replace r with 11 and pi with 3:
Volume = 4/3 x 3 x 11^3
Volume = 5,324 in^3
In the circle below, segment AB is a diameter. If the length of arc ACB is 6pi what is the length of the radius of the circle?
Answer:
12
Step-by-step explanation:
Length of the radius of the circle is equals to 6units.
What is length of the arc?" Length of the arc is defined as the distance between two point as a part of the circumference of the given curve."
Formula used
Length of the arc = rθ
r = radius of the circle
θ = central angle
Radius = [tex]\frac{diameter}{2}[/tex]
According to the question,
Given,
Diameter = AB
Length of the arc = 6pi
Here central angle formed with diameter 'θ' = 180°
= [tex]\pi[/tex]
Substitute the value in the length of the arc formula we get,
[tex]6\pi = r \pi[/tex]
⇒ [tex]r = 6units[/tex]
Hence, length of the radius of the circle is equals to 6units.
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Could someone help, please?
Answer:
Option B
Step-by-step explanation:
By using geometric mean theorem in the given right angle triangle RST,
[tex]\frac{RT}{ST}=\frac{ST}{VT}[/tex]
[tex]\frac{RV+TV}{ST}=\frac{ST}{TV}[/tex]
[tex]\frac{4.1+10.2}{ST}=\frac{ST}{10.2}[/tex]
ST² = 10.2 × 14.3
ST = [tex]\sqrt{145.86}[/tex]
ST = 12.077
ST ≈ 12.1
Therefore, Option B will be the correct option.
solve the equation 3x²–2x=5
Answer:
x= -1 or x= 5/3
Step-by-step explanation:
3x²–2x=5
3x²-2x-5=0
(3x+_)(x-_)
(3x-5)(x+1)
(I just use a guess and check method to see what will fill the blanks and let the expression expand to become 3x²–2x=5)
3x-5=0
3x=5
x= 5/3
x+1
x=-1
x= -1 or x= 5/3
Hope this helps!
