Answer:
a) Arithmetic yₙ = 3*(n - 1) + 13
b) Geometric yₙ = 2*5⁽ⁿ⁻¹⁾
Step-by-step explanation:
The formula for the nth term e, of that sequence is; yₙ = 3*(n - 1) + 13 and yₙ = 2*5⁽ⁿ⁻¹⁾
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
(a) 13, 16, 19
Here, yₙ = 3*(n - 1) + 13
This is an Arithmetic.
b) 2, 10, 50
Here, yₙ = 2*5⁽ⁿ⁻¹⁾
This is Geometric .
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Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Ariana will earn $40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Ariana's songs were played. Define the variables that you use to write the system.
Find the approximate side length of a square game board with an area of 194 in2.
Answer:
root 194=13.928 inches
(10x²+19x+6) ÷(5x+2)
Answer:
2x + 3
Step-by-step explanation:
(10x² + 19x + 6) ÷ (5x + 2) =
= (10x² + 15x + 4x + 6) ÷ (5x + 2)
= [5x(2x + 3) + 2(2x + 3)] ÷ (5x + 2)
= [(5x + 2)(2x + 3)] ÷ (5x + 2)
= 2x + 3
Answer:
2x+3 is your answer
Help me in this one pls I give 15 pts
Answer:
I think option b i.e 7 is right but not sure
52°
Х
X
tycoom whoever helps with thos
Answer:
142
Step-by-step explanation:
The exterior angle of a triangle is equal to sum of the opposite interior angles
x = 52+90
x = 142
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex]\large\bf{{\purple{ \longrightarrow \:\large\rm \: x \: = \: 52 \degree \: + \: 90 \degree }}} \\ [/tex]
[tex]\large\bf{{\purple{ \longrightarrow \:\large\rm \: x \: = \: 142 \degree }}} \\ [/tex]
8³ x 2⁷= •••
a.4¹⁶
b.2¹⁶
c.4⁸
d.2⁸
Answer: B:2^16
Step-by-step explanation:2^16=65536 and 8^3 x 2^7 = 65536
[tex]\boxed{\huge\text{Hey there!}}[/tex]
[tex]\huge\boxed{\mathsf{8^3 \times 2^7= \boxed{?}}}[/tex]
[tex]\huge\boxed{8^3}\\\huge\boxed{= 8\times8\times8}\\\huge\boxed{= 64 \times8}\\\huge\boxed{= \bf 512}[/tex]
[tex]\huge\boxed{2^7}\\\huge\boxed{= 2\times2\times2\times2\times2\times2\times2}\\\huge\boxed{= 4\times4\times4\times2}\\\huge\boxed{= 16\times8}\\\huge\boxed{= \bf 128}[/tex]
[tex]\huge\boxed{512 \times 128}\\\huge\boxed{= \bf 65,536}[/tex]
[tex]\huge\boxed{\textsf{ORIGINAL answer: \bf 65,536} \mathsf{\ and\ the}}\\\huge\boxed{\mathsf{EXPONENTIAL \ answer: \bf 2^{\mathsf{\bf 16}}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\mathsf{Therefore, your\ answer \ is: Option\ B. 2^{16}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
What is the circumference of the following circle?
ea
3 cm
a
t
D
cm
Show Calculator
your question is incomplete dear check it once
I need help solving these two questions
For question 4 it also isn't D
For question 7 it also isn't B
Answer: i could be A and the next one is c
Step-by-step explanation:
Answer:
First question 8
Second question 10
Step-by-step explanation:
First question
The general formula for both secants is the entire length * the external segment.
Using an example, it is 3*(13 + 3) = 3*16
The other secant will be 4*(x + 4)
These two are equal
4(x + 4) = 3 * 16
4(x + 4) = 48 Divide by 4
x + 4 = 12 Subtract 4 from both sides
x = 8
Second Question
8(x + 8) = 6(6 + 18)
8x + 64 = 6(24)
8x + 64 = 144 Subtract 64
8x = 80 Divide by 8
x = 80 /8
x = 10
Ummm i know the answer isn't 4 pls help
Answer:
11
4m-28 = 16
4m = 44
m=11
Step-by-step explanation:
Bags of limes = 4
Total limes in each bag = m
Total limes = 4m
ATQ
4m - 7(4)= 16
4m = 16+28
4m = 44
m = 44/4
m = 11
Value of m = 11
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Samira and Sonia each have a bag containing 20 sweets. In each bag, there are 5 red, 6 green and 9 yellow sweets.
(a)
(b)
Samira chooses one sweet at random from her bag.
Write down the probability that she chooses a yellow sweet.
[1] Sonia chooses two sweets at random, without replacement, from her bag.
(i) Show that the probability that she chooses two green sweets is 3 . 38
(ii) Calculate the probability that the sweets she chooses are not both the same colour.
Step-by-step explanation:
there must be some typos here. but I try to address the right issues.
there is nothing under (a). so, really nothing to answer.
(b)
there are 20 sweets in her bag. 9 if the 20 are yellow.
so, the probability is the ratio of desired possibilities vs. total possibilities.
that is, tada! 9/20
that is the probabilty for Samira to pick a yellow sweet.
[1] (i)
again, 20 sweets to start with.
6 are green.
when she picks the first one, her probability to pick a green one is 6/20 = 3/10 = 0.3
and now, under the assumption that this came true, she picks another sweet.
this time she had only 19 left, and 5 of them are green.
so, this probabilty is 5/19
now both events need to happen for the case we are discussing. there is no overlapping, no ors, ifs and buts. it is just the product of both probabilities.
3/10 × 5/19 = 15/190 = 3/38
I think that is what the description asks for.
(ii)
that probability is
first selection is red and second is not red +
first selection is green and second is not green +
first selection is yellow and second is not yellow
so,
red and not red
5/20 = 1/4 red
15/19 not red (there are still 15 sweets of other colors in the bag, but again now only 19 total).
red and not red = 1/4 × 15/19 = 15/76 = 0.1974
green and not green
6/20 = 3/10 = green
14/19 = not green
green and not green = 3/10 × 14/19 = 52/190 = 26/95 =
= 0.2737
yellow and not yellow
9/20 = yellow
11/19 = not yellow
yellow and not yellow = 9/20 × 11/19 = 99/380 = 0.2606
so, now assuming up all 3 possibilities ("or" = sum) gives us the general possibility of selecting two different colors
= 0.7316
if 5^t = 0.04 ,then find the value of t
Answer:
t=-2
Step-by-step explanation:
Solve Exponent.
5t=0.04
log(5t)=log(0.04)(Take log of both sides)
t*(log(5))=log(0.04)
t=log(0.04)÷log (5)
t=−2
Find the slope (rate of change) of each representation. Please explain how you got it.
Answer:
m = -3/2
Step-by-step explanation:
To find the slope of the representation, use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
I'll pick (-4, 9) and (-2, 6) in this instance.
[tex]m=\frac{9-6}{-4-(-2)}\\\\m=-\frac{3}{2}[/tex]
Therefore, the slope of the representation is -3/2.
Answer:
-3/2
Step-by-step explanation:
To find the slope, we can use the formula
m = ( y2-y1)/(x2-x1)
= ( -6 -9)/(6 - -4)
= (-6-9)/(6+4)
-15/10
-3/2
Pls help me !!! What is the area of rectangle
Answer:
B 48
Step-by-step explanation:
Ac=2AE, because AE=r, Ac=d, d=2r
Ac=2*5=10
The angle ADC is right, because it leans on the diameter AC,
find the leg DC, use the Pythagorus theorem
DC= sqrt (Ac^2-AD^2)= sqrt(100-36)=sqrt64=8
S= 6*8=48
Use the identity property to answer the question.
Answer:
3k + 0 = 3k
Step-by-step explanation:
Identity property of addition states that the sum of 0 and the term would result in the term.
∴ in this case, 3k + 0 will result in 3k.
~
244 Children are on a school trip, there
are 19 seats on a coach. How many
coaches are needed?
Answer:
Totally number of coaches needed is 12
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
I want to rearrange the formula of 3+x=ax to find out what x is equal to. I already know the answer via the answer sheet but I want to know how to get that answer.
Answer:
See below.
Step-by-step explanation:
[tex]3+x=ax[/tex] (Given)
[tex]x=ax-3[/tex] (Subtracted 3 on both sides)
[tex]x-ax=-3[/tex] (Subtracted ax on both sides)
[tex]x(1-a)=-3[/tex] (Factor out x from x - ax)
[tex]x=-\frac{3}{1-a}[/tex] (Divided 1 - a on both sides)
please help me!!!!!!
Answer:
5 I think
Step-by-step explanation:
Since -2 is less than -1, then we'll choose the first equation, f(x) = x² + 1
f(-2) = (-2)² + 1
= 5
Can someone help me please !
Answer:
[tex] \sqrt{ - 256} = \sqrt{256} \times \sqrt{ - 1} = 16i[/tex]
I hope I helped you^_^
Is 3.824 a rational number?
Answer:
NopE, can’t be made into a fraction
Answer:
Yes
Step-by-step explanation:
A number is rational if it can be expressed in the form p/q, where q is not zero.
3.824 can be expressed as 3824/1000.
So, it satisfies the criteria of a rational number.
2(x + 4) - 8 = 36-10
Answer:
x=13
Step-by-step explanation:
URGENT. Geometric Probability.
Answer:
Hello,
Step-by-step explanation:
heigth of the equilateral triangle:
[tex]h=3*\dfrac{\sqrt{3}}{2}[/tex]
Area of the triangle:
[tex]A=\dfrac{6*3\sqrt{3} }{2*2} =\dfrac{9\sqrt{3} }{2} \\\\[/tex]
Area of the disk:
[tex]S=\pi*4^2=16\pi\\\\[/tex]
Probability:
[tex]p=\dfrac{9\sqrt{3} }{2*16*\pi}=0.15506125....\approx{15.5\%}[/tex]
Answer:
Step-by-step explanation:
The height of the triangle is given as 6.5, the base is given as 6, therefore, the area of the triangle is:
[tex]A=\frac{1}{2}(6)(6.5)\\A=19.5[/tex]
The area of the circle is:
[tex]A=\pi(4)^2\\A=16\pi\\A=50.26548[/tex]
Divide the area of the triangle by the area of the circle:
[tex]\frac{19.5}{50.2654}*100=38.8[/tex]%
help me please asap it's important
Answer:
6250cubic meters
Step-by-step explanation:
To find the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the area of the base. A=625; H=30 (given)
V= 625(30/3) = 6250
The probability that Jess will answer any question correctly, independently of her answer to any other
question, is p (p > 0). Let the random variable Y be the number of questions that Jess answers
correctly in any set of 25.
If Pr(Y > 23) = 6 x Pr(Y = 25), show that the value of p is 5/6
Answer:
I hope my answer helps :)
Step-by-step explanation:
P(Y > 23) = P(Y = 24) + P(Y = 25)
6P(Y=25) = P(Y = 24) + P(Y = 25)
6 = P(Y = 24)/P(Y = 25)+ 1
5 = (²⁵C24×p²⁴×q¹)/(²⁵C25×p²⁵×q⁰)
Since you know that q = 1 - p,
5 = 25{[p²⁴(1 - p)]/p²⁵}
1/5 = (p²⁴ - p²⁵)/p²⁵
1/5 = p^(-1) - 1
6/5 = 1/p
p = 5/6 (shown)
Write and solve a word problem that can be modeled by addition of two negative integers.
Answer:
Step-by-step explanation:
Question:
Max needs to purchase a car and withdraws $100 from his bank. In a few days he withdraws another $50 to make same repairs. In total what is the change in his bank balance from theese two costs?
Solution:
(-100) + (-50) =
-150
Answered by G a u t h m a t h
2. Find the measure of eº.
D is a vertical angle to the given 159 degrees.
E + D need to equal 180 degrees.
E = 180 - D
E = 180 - 159
E = 21 degrees
Answer: 21 degrees.
Answer: e = 21°
Step-by-step explanation:
Angle d will be 159° because alternate exterior angles are equal.
Now angle e + angle d = 180 because they form linear pair
e + d = 180
e + 159 = 180
e = 180-159
e = 21
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6. Use a one unit multiplier to convert 20 inches to centimeters.
7. Use two unit multipliers to convert 25 feet to centimeters.
Answer:
should be 15.
Step-by-step explanation:
I"M TIMED!!! PLSSSSSSSSSS HELPPPPPPPPPPP
Drag and drop the numbers and symbols into the boxes to form an expression that represents this phrase:
8 more than quotient of 12 and 6
Which Order Do I Put It In?
the expression is "2 + 8." To find the quotient of 12 and 6, divide 12 by 6. The result is 2.
Step 1: Add 8 to the quotient.
Now, add 8 to the quotient found. The expression is "quotient + 8."
Step 2: Write the final expression.
The final expression that represents "8 more than quotient of 12 and 6" is "quotient + 8."
So, the expression is "2 + 8."
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Find the area of a triangle with legs that are: 16 m, 12 m, and 8 m.
O A. 16.4 m2
B. 54 m2
C. 46.5 m2
D. 38.2 m2
ans. 46.5m2......................
Decrease 4,500 by 18%.
Answer:
5,310.
Step-by-step explanation:
Answer:
3690
Step-by-step explanation:
Simplify 18% to 0.18
4500-(4500×0.18)
4500-810
=3690
Express 128 1/4 in simplest radical form.
Answer:
514/4
Step-by-step explanation:
128 1/4
= (128×4+1)/4
= 514/4
[tex]\\ \sf\longmapsto 128\dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{128(4)+1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{512+1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{513}{4}[/tex]