Answer:
C. An = 5(2)^n-1
Step-by-step explanation:
Tower 1 2 3 4 5
Number of blocks 5 10 20 40 80
Where,
n = tower number
An = number of blocks
A. an = n + 80
B. an = 2n + 5
C. An = 5(2)^n-1
D. an = 10(5)^n
Checking all options
A. An = n + 80
When n = 1
An = 1 + 80
= 81
B. An = 2n + 5
When n = 1
= 2(1) + 5
= 2 + 5
= 7
C. An = 5(2)^n-1
When n = 1
= 5(2)^1-1
= 5(2)^0
2^0 = 1
= 5(1)
= 5
D. An = 10(5)^n
When n = 1
= 10(5)^1
5^1 = 5
= 10(5)
= 50
The explicit formula which correctly represents the number of blocks, an, in terms of the tower number, n is C. An = 5(2)^n-1
Answer:
C
Step-by-step explanation:
I took the map test
11h - (2h-1) = 118
what is h?
Answer:
h =13
Step-by-step explanation:
[tex]11h - (2h-1) = 118\\\\\mathrm{Expand\:}11h-\left(2h-1\right):\quad 9h+1\\9h+1=118\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\9h+1-1=118-1\\\\Simplify\\9h=117\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9h}{9}=\frac{117}{9}\\\\Simplify\\h =13[/tex]
Answer:
H=13
Step-by-step explanation:
First, remove the individual terms from parenthesis. Be careful to handle the signs of each individual term correctly:
to solve for h
while keeping the equation balanced:
9 h 9 = 117 9
9 h 9 = 13
Use the graph shown to answer the question. What is the solution set for the inequality if log2(2x – 1) > 2?
Answer: B
(2.5, ∞)
Step-by-step explanation:
The solution set of the given logarithm inequality will be (2.5,∞).
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
As per the given logarithm function,
log₂(2x - 1) > 2
By log property
2x - 1 > 2 x 2
2x > 4 + 1
x > 5/2
x > 2.5 so the solution set will be 2.5 < x < ∞ or (2.5,∞).
Hence "The solution set of the given logarithm inequality will be (2.5,∞)".
For more about logarithms
https://brainly.com/question/20785664
#SPJ2
write the domain and the range of the function as an inequality, using set notation, and using interval notation. also describe the end behavior of the function
the graph of the quadratic function f(x) = -x^2 is shown
When the domain of the function is continuous, a different approach may well be required, although even here we note that in practice, optimization problems are usually solved using a computer, so that in the final analysis the solutions are represented by strings of binary digits (bits).
Write the algebraic expression:
Two times a number plus two
A gym employee is paid monthly. After working for three months, he had earned $4,500. To
determine how much money he will make over a six-month period, he created the table below.
Write an equation to represent the constant of proportionality
Answer:
$9000
Step-by-step explanation:
A gym employee has earned in 3 months =$4500
Then his monthly salary =$4500/3 =$1500
After six months he will earn = 6 × his monthly salary
= 6×$1500=$9000
What is the distance between (8, -3)(8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and (4, -7)(4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis?
Answer:
The distance between both points is 4√2 units
Step-by-step explanation:
Here in this question, we want to calculate the distance between two given points.
These points are (8,-3) and (4,-7)
Mathematically, the distance between two points can be given as;
D = √(x2-x1)^2 + (y2-y1)^2
where x1 = 4, x2 = 8 , y1 = -7 and y2 = -3
Substituting these values;
D = √(8 -4)^2 + (-3-(-7)^2
D = √(4)^2 + (4)^2
D = √(16+16)
D = √(32)
D = 4√2 units
Answer:
32 Number C
Step-by-step explanation:
Can anyone help me please??
Answer:
I believe the answer is B 0.6
I hope this helps :)
Answer:
0.6
Step-by-step explanation: Since its 6, the probability should be 0.6
Solve for x : x/8 = 8
Quickly !
The answer is [tex]x=64[/tex]
The first and last step is to multiply both sides by 8
[tex](\frac{x}{8} )(8)=8*8[/tex]
Multiplying [tex]\frac{x}{8}[/tex] by [tex]8[/tex] makes x by itself and 8*8 is 64
[tex]x=64[/tex]
Using one or more of your senses to gather information is called O Inferrence O Prediction O Observation O Hypothesis
Find the missing exponent.
Answer: what missing exponent?
Step-by-step explanation:
help‼️✌⛓✌
also please try to answer as soon as possible
Answer:
do this then this then that and your done :D
Step-by-step explanation:
hope this helps :))
What is the graph of g?
Answer:
function gis defined as g (6) = - f (-4) graph
Find the measure of
Dos veces la edad de Mary más 7 es igual a 33. ¿Cuál es la
edad de Mary?
Answer:
La edad de Mary es:
13 años
Step-by-step explanation:
Planteamiento:
2m + 7 = 33
m = edad de Mary
Desarrollo:
2m = 33 - 7
2m = 26
m = 26/2
m = 13
Comprobación:
2*13 + 7 = 33
26 + 7 = 33
5^x + 5^x+1= 150
Find x
Help me pls i need soon
Tksss
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5^x+5^{x+1}=150[/tex]
First, separate the second term:
[tex]5^x+(5\cdot5^x)=150[/tex]
Let u equal 5ˣ. So:
[tex]u+5u=150[/tex]
Combine like terms:
[tex]6u=150[/tex]
Divide both sides by 6:
[tex]u=25[/tex]
Substitute back u:
[tex]5^x=25[/tex]
Take the base 5 logarithm of both sides:
[tex]\log_5(5^x)=\log_5(25)[/tex]
The left cancels:
[tex]x=\log_5(25)[/tex]
Evaluate the right:
[tex]x=2[/tex]
So, our answer is 2.
And we're done!
-1/8 x 5 x 2/3
I really need help I don't understand!
Answer:
I think answer will be -10.
Step-by-step explanation:
when u multiply -1/8*5/1=-5
-1/8*5
-1/8*40/8= 40/8=-5
2/3*5
2/3*-15/3= 30/3=- 10
I think answer will be -10
if it is wrong i am really sorry
87 times 422 divided by 4
Answer:
9178.5
Step-by-step explanation:
Follow PemDas
From Left to Right, you multiply 87 x 422, which is 36,714
Then, thake that number and divide it by 4, giving you 9,178.5
Clara says that if you square the number 4 and then divide the result by 2, you end up with 4. Is Clara correct? Explain. Please help.
Answer:
She is incorrect
Step-by-step explanation:
If you square 4 you get 16 and divide 16 and 2 you get 8 so shes wrong.
Answer: Clara is incorrect
Step-by-step explanation:
The square root of 4 is 2
2 ÷ 2 = 1
You end up with 1 not 4, therefore, Clara is wrong.
Edit: Look at the other answer, I sadly made a mistake thinking the question said square root but it said square I apologize .
If an object travels for 10 seconds at a velocity of 50 feet per second, how far did it travel?
Answer:
500
Step-by-step explanation:
50x10 = 500
50 feet per second so we multiply 50 (the speed per second) by 10 (the time given). You can also use a formula like this:
S x T
S= Speed
T= Time
Simplify each expression.
20-2.32
0 18
O 11
O 60
O 2.
Answer:
the answer for this question is 18
Find the distance between the points (-4, 6) and (3, -7)
Answer:
the distance between (-6,4) and (3,-8) is 15 units
How do you determine a closer approximation for the square root of 12
Answer:
look at it
Step-by-step explanation:
For the pair of functions, find (f • g)(x) and (gof)(x).
f(x) = -2x2 g(x) = x + 4
A. (g)(x) = -283 - 8x?: (gof)(x) = -2x3 - 8x2
B. (f 9)(x) = -2x2 – 16x - 32; (gof)(x) = -2x2 + 4
C. (og)(x) = -2x2 + 4; (g - f)(x) = -2x2 – 16x - 32
D. (fog)(x) = -2x2 – 32; (g - )(x) = -2x2 + 4
If it is 375 miles form Los Angeles To San Francisco and on a map the scale is 2cm=10miles how far apart are they on the map
dees nute lil d man you knoe bro sup
Which of the following numbers is irrational?
72
국
4
3
3, 5, VA
O?
0 3
O A
(-1,2), (-1,-5) can you solve this for me
Answer:
Use FOIL I helped with what I could I don't fully understand the problem but I'm pretty sure FOIL needs to be used to solve.
Find the x-intercept and y-intercept of the liné.
- 6x + 5y = 21
Answer:
x=-3.5 or -7/2 (same thing)
y=21/5
Step-by-step explanation:
x intercept is when y=0
y intercept is when x=0
so
x intercept is
-6x=21
x=21/-6
x=-3.5
y intercept is
5y=21
y=21/5
What is the value of m in the figure? In this diagram ABD~BCD
Answer:
D. √136Step-by-step explanation:
see attached sketch
Answer:
sqrt 136
Step-by-step explanation:
just took the a pe x
what is the slope of 3y = 9 – 4x
Answer:
The slope is -4/3
I hope this helps :)
Which algebraic equation models the English sentence, a number subtracted from 8 is equal to 4?
let's x represent a number
8-x = 4
Answer:
8-x = 4
Step-by-step explanation:
took the test and got it correct