Answer:
Rule is 4(5)^(n-1).
a7 = 62500.
Step-by-step explanation:
This is a geometric sequence with a1 = 4 and r = 20/4 = 5.
a7 is 4(5)^(7-1)
= 4 * 5^6
= 62500.
the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.
What is the geometric sequence?A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by multiplying by a constant called the common ratio, r.
Given a sequence 4, 20, 100, 500, ...
From the general formula of the nth term of the geometric sequence:
a(n) = arⁿ⁻¹
where,
a is the first term
r = ratio of two subsequent terms
in our case
a = 4
r = 20/4 = 5
thus, the general form of the given sequence
a(n) = 4 * 5ⁿ⁻¹
To find: a(7)
a(7) = 4 * 5⁶
a(7) = 62500
therefore, the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.
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one half of a number plus 7
Answer:
1/2n + 7
n = unkown number
Step-by-step explanation:
Answer:
1/2(x) + 7
Step-by-step explanation:
x= unknown number
What does heredity mean?
DNA make RNA, and RNA makes proteins
a human genetic disorder
traits passed down from parent and grandparents to offspring
the process of DNA replicating into two strands
Pls help how do I solve this?
Answer:
area is just multiplication of sides so..
(4.2x^2 - 3xy) (5)
= 21 x^2 - 15 xy
doneeeeee
How do we say that the cost of rice and the quantity of rice we purchase are in inverse proportion?
Answer:
Step-by-step explanation:
I don't think they are. It sounds like a direct proportion to me. The more rice you buy, the higher the cost.
Cost = k * quantity.
That would be the most general formula.
f(x) = -2x - 7 and g(x) = x+8/x find (g of f) (-7)
68/7
it the process
the total process is in above picture
Solve for M
-3+m/ 9 = 10
Step-by-step explanation:
-3+m/9=10
m/9=10+3
m/9=13
m=13×9
m=117
Note:if you need to ask any question please let me know.
Seven teenagers were asked what they charge hourly for babysitting,
The results are shown below. What is the median of these prices?
$8.00, $8.50, $9.00, $9.25, $9.50, $10.75, $11.00
Median- is the middle value whereby the values are place in order (ascending)
$9.25 is the median of these prices
Which of the following describes h(x)=x^5-2x^3+x?
Answer choice is
A. h is an odd function
B. h is neither odd nor even
C. h is an even function
Answer:
h is an odd funtion
Step-by-step explanation:
this is because h(-x)=h(x)
Answer: A
Step-by-step explanation:
A sum of odd functions is a odd function
Proof:
[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Answer:
Subtract four to get the next term.
Step-by-step explanation:
66 - 4 = 62
62 - 4 = 58
58 - 4 = 54
54 - 4 = 50
50 - 4 = 46
46 - 4 = 42
42 - 4 = 38
Answer:
B
Step-by-step explanation:
Subtract 4
write the statement factor theorem
Answer:
According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0. ... Also, we can say, if (x-a) is a factor of polynomial f(x), then f(a) = 0. This proves the converse of the theorem.
4 – 2(x + 7) = 3(x + 5)
Answer:
x = -5
Step-by-step explanation:
4 – 2(x + 7) = 3(x + 5)
Distribute
4 - 2x-14 = 3x+15
Combine like terms
-2x-10 = 3x+15
Add 2x to each side
-2x-10 +2x= 3x+15+2x
-10 = 5x+15
Subtract 15 from each side
-10-15 = 5x+15-15
-25 = 5x
Divide by 5
-25/5 = 5x/5
-5 =x
Answer:
x = -5
Step-by-step explanation:
4 - 2(x + 7) = 3(x + 5)
so, let's do the multiplications. remember, when two terms are multiplied, then everything of the left is multiplied with everything on the right. and a "-" flips signs.
2(x + 7) = 2x + 14
3(x + 5) = 3x + 15
so, in total
4 - 2x - 14 = 3x + 15
now, we add combinable things together, and we can also move things from one side of the equation to the other (by adding our subtracting the same thing on both sides, so that the value of the expression remains unchanged).
-2x - 10 = 3x + 15
-25 = 5x
and now, what applied to adding and subtracting also aims to multiplication and division. again, it is important to do the same thing to both sides.
-5 = x
-t = 9 (t - 10)
what is t?
Answer: t = 9
Step-by-step explanation:
Given
-t = 9 (t - 10)
Expand parentheses and apply the distributive property
-t = 9 · t - 9 · 10
-t = 9t - 90
Subtract 9t on both sides
-t - 9t = 9t - 90 - 9t
-10t = -90
Divide -10 on both sides
-10t / -10 = -90 / -10
[tex]\boxed{t=9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
I will give brainiest whoever is right thanks :)
Find the mean of 9, 10, 3, 9, 2, 3 graphically.
Answer:
Mean=6
Sum of numbers= 30
Step-by-step explanation:
List all the intercepts for the graph shown and determine whether the graph is symmetric with respect to he x-axis, y-axis, origin, or none of these.
X-int: (___,0).
Y-int: (0,___).
Is it symmetric about the x-axis: yes/no
Is it symmetric about the y-axis: yes/no
Is it symmetric about the origin: yes/no
Please Answer ASAP
The first term of a GP is 1, the sum of the third and fifth term is 90. Find the
common ratio.
hence, the common ratio of the given G.P. is 3 or −3.
Answer:
common ratio is -3 or 3
Step-by-step explanation:
[tex]u_1=1\\\\u_3=u_1*r^2=r^2\\\\u_5=u_1*r^4=r^4\\\\r^2+r^4=90\\\\r^4+r^2-90=0\\\Delta=1+4*90=361=19^2\\\\r^2=\dfrac{-1-19}{2} =-10 (exclude\ a\ square\ is\ positive)\\or\\r^2=\dfrac{-1+19}{2}=9\\r^2-9=0\\(r-3)(r+3)=0\\So\ r=-3\ or\ r=3\\[/tex]
Pls Solve
4x+16=x+166
Answer:
50
Step-by-step explanation:
4x+16=x+166
-x -x
3x+16=166
-16 -16
3x=150
/3 /3
x=50
Answer :
• 50
Step-by-step explanation:
4x + 16 = x + 1664x - x = 166 - 16 (Subsituation )3x = 150x = 150 / 3x = 50 !3 2/9 - 2 1/2 pls help me I stuck it it due today
Answer:
[tex]\frac{13}{18}[/tex]
Factor this polynomial completely.
x2 - 81
Solve for x.
6x + 2 = 14
x = 12
x = 2 2/3
x = 2
x = 1 3/4
Answer:
x=2
Step-by-step explanation:
6x + 2 = 14
Subtract 2 from each side
6x+2-2 = 14-2
6x= 12
Divide by 6
6x/6 = 12/6
x=2
Answer: x=2
Step-by-step explanation:
Consider the function f(x) = tan 1/3 (x + pi/1) - 1
Help With All PleAsE
Answer:
8. ☐ A Up
☑ B Down 1
☑ C Left [tex]\displaystyle \frac{\pi}{2}[/tex]
☐ D Right
7. [tex]\displaystyle 3\pi[/tex]
6. ☑ A x = −2π
☐ B x = −π
☐ C x = [tex]\displaystyle \frac{\pi}{2}[/tex]
☑ D x = π
5. [tex]\displaystyle y = -1[/tex]
Explanation:
[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ \boxed{y = tan\:(\frac{1}{3}x + \frac{\pi}{6}) - 1} \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{6}}{\frac{1}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{\pi}{\frac{1}{3}} \\ Amplitude \hookrightarrow N/A[/tex]
Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Second, to find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, on a universal scale of [tex]\displaystyle \frac{\pi}{4}[/tex] with a range of [tex]\displaystyle -2\pi\:to\:2\pi,[/tex] the vertical asymptotes are [tex]\displaystyle -2\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{3\pi} = \pi + 2\pi.[/tex] So, the period of this function is [tex]\displaystyle 3\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = -1.[/tex]
Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.
I am delighted to assist you at any time.
Find the area of the following quadrilateral.
Answer: 480
Step-by-step explanation:
The quadrilateral ABCD is a trapezium
The formula for area of trapezium is
Area of trapezium = 1/2 × (parallel side 1 + parallel side 2) × h
So we can place the given values into the formula.
We get
Area = 1/2 × (9+15) × 40
Area = 1/2 × 24 × 40
By multiplying all of them we get
Area = 480cm
Solve for A if
T = 3.14 and r = 3.
A = ar2
Enter the number that belongs in the green box
A = [?]
Answer:
28.26 is the correct answer
can someone please help me with this?
I think the given figure will help you....
Consumer Math
Which person uses the best cost saving strategy when deciding how to spend their money? A. Octavia bought the name-brand dish soap to be sure it was good quality. B. Jake paid the seller's full price for his used car to avoid someone else buying it. C. Tyrone waited for a sale so he could get a lower price on his new skateboard. D. Camilla bought her new computer immediately in case prices increased.
Answer:
I think c if not sorry
Step-by-step explanation:
C is the only one that makes sense
person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.
The correct option is (C).
What is strategy?
Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.
Considering the cost saving ,
Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.
Other just look on the quality, first buyer, took the item in increased price.
Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.
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Reason abstractly. Can the product of a
decimal number less than I ever be greater than the whole
number? Give examples to support your answer.
find the product 4.2(6 + 0.43).
HELP PLEASE
Heelp ez question, just answer no steps needed
Answer:
i think 16 is the correct answer
Step-by-step explanation:
a
Each morning Tess chooses either a red ribbon or a blue ribbon at random to wear in her hair. What is the probability that Tess will choose a red ribbon on both Monday and Tuesday?
Answer:
1/4 chance
Step-by-step explanation:
First you need to find the probability of Tess choosing a red ribbon.
1/2
Then you need to multiply that probability by the reciprocal of 2, which is 1/2
1/2 x 1/2 = 1/4
How is the solution set of the sentence below described?
x + 5 < 7
{all numbers less than }
{all numbers less than 2}
{all numbers less than 7}
{all numbers less than 12}
none of these
Answer:
{all numbers less than 2}
Step-by-step explanation:
x cannot be greater than 2, because it would go over 7
Answer:
{all numbers less than 2}
Step-by-step explanation:
x can only be 2 or lower to make the sentence true
How many significant figures does 4857.169 have?
Answer:
Significant Figures
7
4857.169
Decimals
3
4857.169
Scientific Notation
4.857169 × 103
E-Notation
4.857169e+3
Words
four thousand eight hundred fifty-seven point one six nine
Explanation: Mark Brainliest plz
Answer:
plz mark me as a brainliest i really need it
Step-by-step explanation:
4857.169
Sig Figs
7
4857.169
Decimals
3
4857.169
Scientific Notation
4.857169 × 103
E-Notation
4.857169e+3
Words
four thousand eight hundred fifty-seven point one six nine
