Given:
The multiples of 2 form a sequence as follows: 2, 4, 6, 8, 10, 12, 14, 16, ...
To find:
Description of the sequence you see. What about the multiples of three? Four? Five?
Solution:
The multiples of 2 form a sequence as follows:
2, 4, 6, 8, 10, 12, 14, 16, ...
It is defined as [tex]a_n=2n[/tex], where n is a natural number. It represents all positive even numbers.
Multiples of 3, 4 and 5 form the respective sequences:
[tex]a_n=3n[/tex], i.e., 3, 6, 9, 12, 15, 18, 21, 24,...
[tex]a_n=4n[/tex], i.e., 4, 8, 12, 16, 20, 24, 28, 32...
[tex]a_n=5n[/tex], i.e., 5, 10, 15, 20, 25, 30, 35, 40...
pls solve/simplify
(y2 + 6)(-2y2 + 7) =
Answer:
-2y^4 -5y^2 +42
Step-by-step explanation:
Answer:
the correct answer is −2y4-5y2+42
Step-by-step explanation:
distribute the problem out so you can solve it to simplify
(y2+6)(−2y2+7)
(−2
It wants me to make it long but the question there Multiply: 3 * 2 2/5
Answer:
Exact Form:
36 /5
Decimal Form:
7.2
Mixed Number Form:
7 1/5
Step-by-step explanation:
Which expression represents 7 times the sum of a number and 8?
Answer:
7(x+8) or 7x+56
Step-by-step explanation:
Need help.... please...
Answer:
The function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]
Step-by-step explanation:
The zeros of the polynomial are: -2,4,0
We can write them as
x=-2, x=4, x=0
or
x+2=0,x-4=0,x=0
Multiplying all terms:
[tex](x+2)(x-4)(x)\\=((x-4)+2(x-4))(x)\\=x^2-4x+2x-8)x\\=(x^2-2x-8)x\\=x^3-2x^2-8x[/tex]
So, the function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]
determine if the following lengths make a triangle 6,3,7
Answer:
Yes
Step-by-step explanation:
The rule is that if a+b>c, then it's a triangle. In this case, 6+3>7, so it's a triangle. The hypotenuse (7) should always be the largest of the sum of the two side lengths.
Answer:
Yes, the lengths will create a triangle.
Step-by-step explanation:
6 + 3 = 9 > 7
3 + 7 = 10 > 6
6 + 7 = 13 > 3
If the combination of any lengths is greater than the remaining length, then the lenghts will create a triangle.
Slope-intercept form of the equation of the line that is perpendicular to -2x + 3y = 10 and contains P(10,-10)
if M <1 = 115 degrees what is m <2
Answer:
M<2= 65
Step-by-step explanation:
The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.
You would use angle addition postulate to find the answer so M<1 + M<2 = 180.
Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180
Then you would subtract 115 from 180 in which you would get M<2 = 65
SI 12 PIES DE UN POSTE DE 60 PIES ESTAN DEBAJO DE LA TIERRA ¿ QUE PORCENTAJE DEL POSTE ESTA POR ENCIMA DEL SUELO?
Answer:
20%
Step-by-step explanation:
primero, hagamos una fracción con los números que tenemos:
12/60 = x/100
cruzar multiplicar: 12 * 100 = 60 * x
multiplicar: 1200 = 60x
divide cada lado por 60: 20 = x
la respuesta es x = 20, o 20%
Espero que esto haya ayudado, marque Brainliest, ¡gracias!
Use the number line to help you decide which statement is true.
Answer:
A
Step-by-step explanation:
because 1/2 = 4/8
and 5/8 is greater than 4/8
The number line is the representation of numbers in real order.
5/8 = 0.625
1/2 = 0.50
5/8 is greater than 1/2.
Option A is the correct answer.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
Example: Number line from -4 to 4.
-4__-3__-2__1__0__1__2__3__4
We have,
5/8 > 1/2
5/8 = 1/2
5/8 < 1/2
5/8 = 0.625
1/2 = 0.50
We see that,
0.625 > 0.50
So,
5/8 must be greater than 1/2
i.e
5/8 > 1/2
We can also find the relation between 5/8 and 1/2 in this way.
5/8 = 1/2
Cross multiply.
5 x 2 = 8
10 = 8
10 is greater than 8
So,
5/8 is greater than 1/2
5/8 > 1/2
Thus,
5/8 = 0.625
1/2 = 0.50
5/8 is greater than 1/2.
Option A is the correct answer.
Learn more about number line here:
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A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?
Answer:
A. Approximately 85 m
Step-by-step explanation:
edge
The required distance between the origination point and the target point is 85 m.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
The distance between the origination point and mirror 1 is 120 m and between mirror 1 and mirror 2 = 90 m
From geometry, the measure of the angle Opposite the distance between the origination point and the target is given as,
= 20 + 25 = 45°
Let,
a = x
b = 90 m
c = 120 m
A = 45°
Following the cosine rule,
a² = b² + c² -2bccosA
a² = 90² + 120² - 2×90×120×cos45
a = √7226.5
a = 85.008
a ≈ 85
Thus, the required distance between the origination point and the target point is 85 m.
Learn more about trigonometry equations here:
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Janice is preparing a recipe that calls for 3/4 of a cup of oil per serving. If Janice needs to prepare 2 and 2/3 servings, how many cups of oil will she need?
Answer:
Three cups of oil will be needed
Step-by-step explanation:
Here, we are told that the recipe calls for a 3/4 of a cup of oil per serving
Thus for 2 2/3
What is needed will be 2 2/3 * 3/4
= 8/2 * 3/4 = 24/8 = 3
Nicholas has decided to buy 1.5 pounds of Sour Patch Kids 1 pound is 3.99 How much will the Sour Patch Kids cost?
Answer:
Step-by-step explanation:
5.98
Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday how many hours did she work on the project Tuesday and Friday combined?
Answer: 4.25 hours
Step-by-step explanation:
From the question, we are informed that Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday.
The total number of hours she worked on the project Tuesday and Friday combined will be:
= 2.5 hours + 1.75 hours
= 4.25 hours
Answer:
4.25
Step-by-step explanation:
Step-by-step explanation:
From the question, we are informed that Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday.
The total number of hours she worked on the project Tuesday and Friday combined will be:
= 2.5 hours + 1.75 hours
= 4.25 hours
100 Points on the line. Also will mark brainliest if you get it right.
Answer:
1. D
2. A.
3. D.
AB¯¯¯¯¯¯ is rotated 120° clockwise about B. Then AB¯¯¯¯¯¯ is rotated 45° counterclockwise about A. What is the image of A as a composition of transformations?
Answer:
D (r(45°, A) ⚬ r(–120°, B))(A)
Step-by-step explanation:
Well it's rotated 120° clockwise and clockwise is negative and the other is rotated 45° counterclockwise and anything counterclockwise is positive. Also I got it right on the test.
is the relation a function? explain
All functions are relations, but not all relations are functions. A function is a relation that for each input, there is only one output.
What is a function? Explain briefly
Answer:
in mathamatics...an algebraic function that can be defined as a root od a polynomial equation
Step-by-step explanation:
Answer:
A function is the difference between the input and the output in a given table. Here is an example:
Input | Output
2 | 4
4 | 6
6 | 8
The function is add 2. Best of Luck!
What is the y-intercept of the graph below?
A. 0,-1)
B. (0,1
C. (0, -0.5)
D. (0,0.5)
Answer:
There is no gragh.
expand and simplify (2x+1)(3x+6)
Answer:
Step-by-step explanation:
6x^2 + 12x + 3x + 6
6x^2 + 15x + 6
Answer:
6x² + 15x + 6
Step-by-step explanation:
Use FOIL:
Multiply the first terms:
(2x)(3x) = 6x²
Multiply 2x and 6:
(2x)(6) = 12x
Multiply 1 and 3x:
(1)(3x) = 3x
Multiply 1 and 6:
(1)(6) = 6
Then, add these all together:
6x² + 12x + 3x + 6
Add like terms:
6x² + 15x + 6 is the simplified expression
How do you work this out?????
Answer: 3 x 3 I think
Step-by-step explanation:
Answer:
3x^2
Step-by-step explanation:
base times height
you do 3x times x to find area
x(3x)
3x^2
What theorems can be used to prove the triangles are congruent?
Need help ASAP !!!!!!
I’ll mark u as brainlist if u get this right!!
Answer:
A
Step-by-step explanation:
When X is less than -1, positive parabola.
what is two hundred and forty dived by six
Evaluate the expression when g=4 and h=38.
h-3g
Answer:
the answer is 26
Step-by-step explanation:
3x4=12
38-12=26
It costs Rs 2200 to paint the inner curved surface of a cylinderical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m2, find: (i) radius of the base (ii) inner curved surface area of the vessel (iii)capacity of the vessel (in litres).
Answer:
1)110m^2
2)1.75m
3)96.25m^2
Step-by-step explanation:
Rate of painting= The cost to paint it /
inner curved surface area of the vessel
20m^2=(Rs 2200 /inner curved surface area of the vessel)
If we make inner curved surface area of the vessel subject of the formula,
inner curved surface area of the vessel= =(Rs 2200/20)
= 110m^2
2)cost surface area of a cylinder can be calculated using expression below
(2πrh,) then the values was calculated in question 1 as 110m^2
Then from (2πrh=110) we can make "r" subject of the formula
r= 110/(2πh). h=10m deep
r=110/(2×3.14×10)
r= 1.75m
3)(iii)capacity of the vessel (in litres
The capacity of the vessel can be regarded as the volume which equals to πr^2h
From question 2 r=1.75m, and h=10m
Then
πr^2h= 3.142×(1.75)^2 ×10
=96.25m^2
Hence the capacity is 96.25m^2
Three times a number increased by 8 is no more than the number decreased by 4. Find the number.
Answer:
(-oo, -6]Step-by-step explanation:
Let the number be x
3x + 8 ≤ x - 43x - x ≤ -4 - 82x ≤ -12x ≤ -6x = (-oo, -6]A company is considering purchasing mineral rights to two different mountains. The probability that it will purchase the mineral rights to the mountain is 0.55. The probability that will purchase the mineral second mountains 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, the probability that it will purchase the mineral rights to exactly one of the two mountains?
Answer:
.51
Step-by-step explanation:
P(F)=.55, P(S)= .4
P(F ∩ not S)= .55×.6=.33
P(S ∩ not F)= .4×.45=.18
.33+.18=.51
Answer:
The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
Step-by-step explanation:
Given information:
A company is considering purchasing materials:
The probability of purchasing mineral rights
Form the first mountain [tex]p_1=0.55\\[/tex]
From the second mountain [tex]p_2=0.4[/tex]
As the decision is made independently
So, P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]=0.55 \times 0.6\\[/tex]
P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]= 0.33\\[/tex]
Similarly, the value of
P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.4 \times 0.45[/tex]
P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.15[/tex]
Hence , [tex]P=0.33+0.18[/tex]
[tex]P=0.51[/tex]
Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
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Question 5 (1 point) Most fossils are two million years old. True False
Answer:
False
Step-by:-step explanation
2 million years
The oldest reliably classified fossils belonging to the genus Homo date back to a little over 2 million years ago. They belong to H. habilis, a type of ancient hominin that scientists classify as the first of our genus, and which may have led to H. erectus, one of our direct ancestors
Answer:
false
Step-by-step explanation:
most fossils are muuchhh older
Does anyone know how to solve this inequality algebraic-ally:
2x^2 - 5x - 3<= 0
Thank you :)
Answer:
-1/2 ≤ x ≤ 3
Step-by-step explanation:
hope that helps