Sequence: 1, 3, 6, 10, 15, …
If sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]
If sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ * \ third \ term} }}[/tex]
Check for arithmetic:
[tex]\sf \rightarrow 3 = \dfrac{1+6}{2}[/tex]
[tex]\sf \rightarrow 3 =3.5[/tex] Hence, the sequence is not arithmetic
Check for geometric:
[tex]\sf \rightarrow 3 = \sqrt{1*6}[/tex]
[tex]\sf \rightarrow 3 = \sqrt{6}[/tex] Hence, the sequence is not geometric
Solution:
Neither[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]
[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex][tex] \textsf{and} [/tex]
[tex] \textsf{If the ratio of successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex][tex]\textsf{Since neither common difference is same, }[/tex] [tex]\textsf{nor common ratio is same, therefore }[/tex] [tex] \textsf{we can infer that it's neither an Arithmetic progression} [/tex] [tex] \textsf{nor Geometric progression. } [/tex]
Hope it helps ~
What is the last step in constructing an angle?
O Make a mark at the number of degrees you want the angle to be.
O Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor
O Connect the endpoint and the mark at the angle measure.
O Draw a horizontal ray.
Answer:
O Connect the endpoint and the mark at the angle measure
Step-by-step explanation:
Check the illustration for more details.
HELPPPP FIND THE AREA
you can just split the figure in 2 separate figures and them add the areas:
area rec. 1:
3m×3m= 9m²
area rec. 2:
3m× (2m+3m)
= 3m×5m
=15m²
total area:
9m²+15m²= 24m²
Answer:
Area = 24
Step-by-step explanation:
Work and explanation ~
In a box there are 11 similar balls where 8 are red and the remaining are blue. if we draw one ball at random.then what is the probability to draw a blue ball?
Answer:
27%
Step-by-step explanation:
There are 11 balls in total. If 8 are red, (11-8) are blue =3
3/11 is the fraction of blue balls. Convert to percent =27%
Solve for x in the diagram below.
an experiment requires the population of the bacteria to reach 2 million before the experiment can begin. The reproduction rate of the bacteria can be modeled by the exponential equation Y= 8 times 7^x. About how many hours X will it take for the bacteria population to reach 2 million?
round your answer the the nearest hour
Answer:
about 6 hours
Step-by-step explanation:
[tex]8( {7}^{x} ) = 2( {10}^{6} )[/tex]
[tex] {7}^{x} = 250000[/tex]
[tex]x = \frac{ ln(250000) }{ ln(7) } = 6.39[/tex]
The about 6 hours the bacteria population to reach 2 million.
What is exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.
Given that the experiment requires the population of the bacteria to reach 2 million before the experiment can begin.
The reproduction rate of the bacteria can be modeled by the exponential equation,
y = 8 × 7ˣ.
So, according to the question,
8 × 7ˣ = 2 × 10⁶
7ˣ = 250000
x ≈ 6.4
Hence the about 6 hours the bacteria population to reach 2 million.
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Please hurry... Have a blessed day!
Answer:
A
Step-by-step explanation:
divide all sides by four and you get first answer.
A skateboarder leaves a 12-foot tall ramp with an initial vertical velocity of 8 feet per sen
function f(h) = -8t² +8t + 12 represents the height, h, in feet of the skateboarder after t seconds.
How many seconds was the skateboarder airbound
To answer this, we substitute 12 ft to the f(h) in the given equation,
f(h) = -8t² + 8t + 12 = 12
Subtracting 12 from both sides of the equation will give us an answer of,
-8t² + 8t = 0
Then, we transpose 8 to the other side and divide the equation by -8 and t, we get an answer of t = 1 second.
Answer:
Below in bold.
Step-by-step explanation:
When he lands h = 0 so
-8t^2 + 8t + 12 = 0
Solving for t
t = [-8 +/- sqrt(8^2 - 3*-6*12)] / -16
t = 1.82 seconds.
Which of the following statements is always true?
a. Workers being paid on commission make less money than if they are salaried.
b. Workers being paid on commission have a salary that varies based on their performance.
c. Workers being paid on commission are stressed over the amount of earnings they will have.
d. Workers being paid on commission increase the accounting costs of the employer.
Please select the best answer from the choices provided
A
B
C
D
Answer:
B
Step-by-step explanation:
hope it helps <3333
You look beautiful
Find the surface area of the triangular prism shown below.
Answer:
136
Step-by-step explanation:
5*7 = 35
5*7 = 35
4*6/2 = 12
4*6/2 = 12
7*6 = 42
Add them all up
Can someone help me
Answer:
it's d
Step-by-step explanation:
because you first do 3*4 =12 twice because there are two sides, and do 10*3 twice, and 10*4 twice, and add it all up.
so,
24+60+80=164
answer is d.
Answer:
Option D, [tex]164\ units^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the front and back
[tex]A = l * w[/tex]
[tex]A = 10\ units * 4\ units[/tex]
[tex]A = 40\ units^2[/tex]
Step 2: Determine the area of the sides
[tex]A = l * w[/tex]
[tex]A = 3\ units * 4\ units[/tex]
[tex]A = 12\ units^2[/tex]
Step 3: Determine the area of the top and bottom
[tex]A = l * w[/tex]
[tex]A = 10\ units * 3\ units[/tex]
[tex]A = 30\ units^2[/tex]
Step 4: Determine the total surface area
[tex]SA = 2(40\ units^2) + 2( 12\ units^2) + 2(30\ units^2)[/tex]
[tex]SA = 80\ units^2 + 24\ units^2 + 60\ units^2[/tex]
[tex]SA = 164\ units^2[/tex]
Answer: Option D, [tex]164\ units^2[/tex]
please answer, thank you so so so so so so so so much!
Answer:
A = 160 in²
Step-by-step explanation:
Split this up into 3 rectangles and find the area of each (A = bh). Then add up all the areas to get the total area of the figure.
Rectangle A
A = 10 x 7
A = 70 in²
Rectangle B
A = 11 x 6
A = 66 in²
Rectangle C
A = 4 x 6
A = 24 in²
Total Area
A = 70 + 66 + 24
A = 160 in²
Hope this helps and God bless!
Answer:
160
Step-by-step explanation:
Do (6x4)+(6x18)+(7x4)
You don't need to put the parentheses but it makes it look better and make it easier to understand.
A line passes through the pointa (-8,8) and (12,7)
Answer: y= -1/20x + 38/5
or
y= -1/20x + 7.6
Step-by-step explanation:
y-y1 = m(x-x1)
m = 8-7 / -8 - 12 = 1/-20 = -1/20
y-8 = -1/20(x+8)
y=-1/20x - 8/20 + 160/20
y= -1/20x + 38/5
or
y= -1/20x + 7.6
olve the following: (2 points)
one and two fourths plus three and three fourths
a
two and one fourth
b
four and one fourth
c
five and one fourth
d
six and one fourth
A rectangular prism has dimensions x units, 2x units, and x 8 units. which expression represents the surface area of the prism? 8x 16 square units 16x 32 square units 10x2 48x square units 2x3 16x2 square units
The rectangular prism with dimensions x units, 2x units, and x- 8 units has a surface area of 10x^2 - 48x square units
Volume of a rectangular prismThe formula for calculating the suface area of rectangular prism is expressed as:
A =2()
lw + wh + lh
where:
l is the lengthw is the widthh is the heightGiven the following parameters
l = x units
w = 2x units
h = x - 8 units
Substitute
S = 2(2x^2 + x^2 - 8x + 2x^2 - 16x)
S = 2(5x^2-24x)
S= 10x^2 - 48x square units
Hence the rectangular prism with dimensions x units, 2x units, and x- 8 units has a surface area of 10x^2 - 48x square units
Learn more on surface area here:https://brainly.com/question/76387
Answer:
C
Step-by-step explanation:
10x^2+48x
Solve the equation on the
interval [0, 27r).
4(sin x)2 - 2 = 0
[tex]4[sin(x)]^2 - 2 = 0\implies 4[sin(x)]^2=2\implies [sin(x)]^2=\cfrac{2}{4}\implies [sin(x)]^2=\cfrac{1}{2} \\\\\\ sin(x)=\pm\sqrt{\cfrac{1}{2}}\implies sin^{-1}[sin(x)]=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)\implies x=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)[/tex]
[tex]x=sin^{-1}\left( \pm\cfrac{\sqrt{1}}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{1}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{\sqrt{2}}{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=\cfrac{\pi }{4}~~,~~\cfrac{3\pi }{4}~~,~~\cfrac{5\pi }{4}~~,~~\cfrac{7\pi }{4}~\hfill[/tex]
Check the picture below.
Which is a coefficient matrix for the system of linear equations?
Answer:
In linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations.
Step-by-step explanation:
the matrix is used in solving systems of linear equations
The table shows survey results for 200 patients who had either hip or knee surgeryIf one person is selected randomly, what probability he or she was satisfied, given that he or she had knee surgery? (Round to the nearest tenth of a percent.)
Answer:
Step-by-step explanation:
Answer:
B. 73.7%
Step-by-step explanation:
Usa Tesprep explained
help me out on this..
Answer:
The answer would be to shade 2 parts as 10 percent of 20 is 2.Hope this helps!
Step-by-step explanation:
how do i do 15, 16???
e.g for 15:
a = 3, b is missing, c = 10
A is missing, B is ?, C is 90
Is AB and CD parallel? Why/why not
Step-by-step explanation:
AB and CD is not parallel because co-interior sum is 180 and another reason is that parallel sign isn't given.
Tell me the answer please 1+2-3+4-5+6-7+8-9=
Answer:
1+2-3+4-5+6-7+8-9=3-3+4-5+6-7+8-9=-1+6-7+8-9=5-7+8-9=6-9=-3
Step-by-step explanation:
Answer: 45
Step-by-step explanation: Add all the digits
help brainliest if right
Answer:
8
Step-by-step explanation:
Answer:
the answer is 8
PLEASE GIVE BRAINLIST
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as kim's fish
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish. So, Doug caught a fish that was 3/5 meters long.
What is the fundamental principle of multiplication?
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish.
Kim caught a fish of length = 9/10 m
Doug caught a fish of length = 2/3 as long as Kim's fish.
= 2/3 x 9/10
= 18 / 30
= 3/5
Thus, Doug caught a fish that was 3/5 meters long.
Learn more about multiplications;
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Use the discriminant to determine how many and what kind of solutions the quadratic equation x^2 - x = 1 has.
1. no real or complex solutions
2. two complex (nonreal) solutions
3. one real solution
4. two real solutions
Answer:
4. two real solutions
Step-by-step explanation:
[tex]x^2 - x = 1[/tex] (Given)
[tex]\implies x^2-x-1=0[/tex]
Equating it with [tex]ax^2+bx+c=0[/tex]We find: a = 1, b = -1, c = -1Next, we calculate the discriminant of the given quadratic equation by plugging the values of a, b and c in the formula [tex]\implies b^2-4ac[/tex][tex]b^2-4ac\\=(-1)^2-4(1)(-1)\\=1+1=2>0\\\implies b^2-4ac >0[/tex]
-> Given quadratic equation has two real solutions.
solve for x : -172 = -11x + 4
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Alright so:
-172 = -11x + 4
-4 - 4 (-4 on both sides)
so,
-176 = - 11x
divide by -11
so,
-11x ÷ - 11 = x
-176÷-11= 16
x=16
Tell whether the ordered pair is a solution of the linear system.
(4, -1)
x + 2y = 2
x - 2y = 6
Answer:
(4,-1) is a solution
Step-by-step explanation:
x + 2y = 2
x - 2y = 6
We want to see if (4,-1) is a solution to the system.
To do so we plug in x = 4 and y = -1 into both equations and if it is true then the ordered pair is a solution but if one of the equations isn't true then the solution isn't a solution
x + 2y = 2
==> plug in x = 4 and y = -1
4 + 2(-1) = 2
==> multiply 2 and -1
4 - 2 = 2
==> subtract 2 from 4
2 = 2
x - 2y = 6
==> plug in x = 4 and y = -1
4 - 2(-1) = 6
==> multiply -2 and -1
4 + 2 = 6
==> add 4 and 2
6 = 6
Both equations are true therefore (4,-1) is indeed a solution to the system
You want to know the average number of goals scored by professional hockey players. Should you survey the population or a sample?
Answer:
Populaiton
Step-by-step explanation:
Surveying the population will give a more accurate data set as the sample size could be biased based on the characteristics of specific players.
find the slope of the line that passes through (8,2) (1,8)
Answer:
slope = -6/7
all steps in picture :)
A box contains ten cards labeled Q,R,S,T,U,V,W,X,Y, and Z. One card will be randomly chosen. What is the probability of choosing a letter from Q to T?
Write your answer as a fraction in simplest form.
Answer:
4/10 = 2/5 = 40%
Step-by-step explanation:
Q,R,S,T = 4
Q R S T U V W X Y Z =10
x – 7y + x + y answer
Answer:
2x - 6y
Step-by-step explanation:
Combine like terms
(x) - 7y + (x) + y
2x - 7y + y
Combine like terms again
2x - (7y) + (y)
2x - 6y
Hope this helps!