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Explicación paso a paso:
Dado el conjunto de un triángulo equilátero con cada uno de sus lados en progresión geométrica, si el primer triángulo mide un lado de 1 cm y una razón común de 2 cm, para obtener el lado del triángulo 29, usaremos la fórmula para calcular el enésimo término de la progresión geométrica. expresado como;
Tn = ar ^ (n-1)
a es el primer término
n es el número de términos
r es la razón común.
Dados los siguientes parámetros
a = 1, r = 2 y n = 20 (ya que estamos buscando el lado del vigésimo triángulo)
Sustituyendo los parámetros dados en la fórmula para obtener el lado del triángulo 20, tendremos;
T20 = 1 (2) ^ 20-1
T20 = 1 (2) ^ 19
T20 = 2 ^ 19
T20 = 524,288 cm
Por lo tanto, la medida de la longitud de un lado del vigésimo triángulo equilátero es 524,288 cm.
Perímetro del vigésimo triángulo equilátero = 3 × 524,288 = 1,572,864cm
Tenga en cuenta que todos los lados de un triángulo equilátero son iguales.
Round 10.999244792948 to the nearest whole number
Answer:
11
Step-by-step explanation:
1. Listing Information
The number is 10.999244792948.
Simply put, numbers below 5 are rounded down and numbers that are greater than or equal to five are rounded up.
The tenths place value in 10.999244792948 is 9.
2. Solving the Problem
With the previous information in mind, 9 is greater than 5. Because of this, 10.999244792948 should be rounded to 11.
The area can be found by multiplying the side lengths that are 6 units & 4 units
Answer:squares area is. 24
Step-by-step explanation:
6×4 = 24
Determine if the following relations represent y as a function of x. x=y^4
Answer:
x = y⁴ does not represent y as a function of x
Step-by-step explanation:
Let's first isolate this equation for the 'y' value :
[tex]\mathrm{Switch\:sides} : y^4=x,\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)} : y=\sqrt[4]{x},\:y=-\sqrt[4]{x}[/tex]
So as you can tell, we have two functions. However, they can be rewritten as one function, y = ± ⁴√x. As we have two values of x that correspond to one value of y, this relation is not a function.
Solution: x = y⁴ does not represent y as a function of x
108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)
Answer:
-44
Step-by-step explanation:
108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)
= 108 ÷ 9 x (-12) ÷ 6 - (20)
= 12 x (-12) ÷ 6 - (20)
= -144÷ 6 - (20)
= -24 - (20)
= -44
What is the value of the expression below when y = 5?
4y2 – 7y - 6
Answer: 371
Step-by-step explanation:
Answer:59
Step-by-step explanation:
What is the domain in interval notation. do not include any spaces in your answers! Type in the word infinity if needed
Answer:
(-6,5]
Step-by-step explanation:
Domain includes all of the x-values a function contains. In this case, it goes from -6 to 5. The open dot on the left indicates that this number is not included in the answer, and in interval notation you would use a parentheses. The filled in dot on the right coordinate indicates that this number is included, so you would use a bracket.
Given the vectors shown, find the sum (P+Q+R).
The sum of 2 composite numbers is never a prime number. Explain your answer.
Answer:
Step-by-step explanation:
Composite numbers are positive numbers that have factors, This means that they are divisible by numbers other than 1 and itself provided that number is a factor of the composite number. They possess at the bearest minimum level, a divisor other than 1 and itself. They are a natural number that is expressible as the product of two(or more) numbers other than 1 and itself.
For example:
4 is a composite number because its factors are 1, 2 and 4 which have another divisor apart from 1 and itself (4). That divisor is 2.
We all know that prime numbers are numbers that can be only be divided by 1 and itself.
Therefore, the sum of two composite number, for example:
4 + 6 = 10, We can now see that 10 is never a prime number.
Each day Tania decides to do something nice
for 2 strangers. What is the relationship
between the number people helped and days.
Write a Recursive and Explicit equation.
Answer:
Recursive:
[tex] a_1 = 2; a_n = a_{n-1} [/tex]
Explicit:
[tex] a_n = 2 [/tex]
Step-by-step explanation:
She helps the same number of people every day, 2.
Recursive:
[tex] a_1 = 2; a_n = a_{n-1} [/tex]
Explicit:
[tex] a_n = 2 [/tex]
The segment with endpoints (-1,4) & (2,8) has a distance of
Answer:
5
Step-by-step explanation:
(X1,Y1) = (-1,4)
(X2,Y2) = (2,8)
is 1 1/2 a rational number?
yes. It would be an irrational number if it didn't repeat in a pattern.
hope it helps comment if u have any questions
Answer:
Yes.
Step-by-step explanation:
Yes 1 [tex]\frac{1}{2}[/tex] is a rational number because because it can be converted to a decimal, which is 1.5
A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you chose tiles with the letters A,B,C?
Answer:
1/26
Step-by-step explanation:
Total no. of tiles = 26
In each tile , a different alphabet is written.
And we need 3 tiles (in which A , B & C are written in it) in one try.
So the probability of choosing tiles with letters A , B & C ( in one try ) = 1/26
K(h-j)+10’ if h= 7, j=-8, and k=5
Answer:
49
Step-by-step explanation:
5(7-8)+10
49
it's equals 49
The data below were obtained from an experiment were participants were given drinks with or without caffeine and then asked to tap their fingers. The data for 20 participants are below. Assume the number of taps per minute is normally distributed. The variance is unknown. Find a 95% CI for μ number of taps. Identify the pivot function used. 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242
Answer:
The 95% confidence interval is [tex]244.26 < \mu < 246.95[/tex]
The pivot function used is
[tex]t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }[/tex]
Step-by-step explanation:
From the question we are told that
The data given is 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242
The sample size is [tex]n= 20[/tex]
Given that the confidence level is 95% then the level of significance is
[tex]\alpha = (100 - 95)\%[/tex]
[tex]\alpha = 0.05[/tex]
The degree of freedom is mathematically represented as
[tex]df = 20 -1[/tex]
[tex]df = 19[/tex]
From the student t-distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]t_{\frac{\alpha }{2} , 19 } = 2.093[/tex]
The mean is mathematically represented as
[tex]\= x = \frac{\sum x_i}{ n}[/tex]
[tex]\= x = \frac{246+ 242 +248+245+ 250+ 244+252+ 248 +248 +247+ 250+ 248+ 246+ 242 +248 +244 +245 +246+ 250+ 242}{20}[/tex][tex]\= x = 246.6[/tex]
The standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x )^2)}{n} }[/tex]
[tex]\sigma = \sqrt{\frac{(246- 246.6)^2 +(242- 246.6)^2 +(248- 246.6)^2 + (248- 245)^2+}{20} } \ ..[/tex]
[tex]\ ...\sqrt{\frac{(250-246.6 )^2+ (244- 246.6)^2+(252- 246.6)^2+ (248- 246.6)^2+ (248- 246.6)^2+}{20} } \ ...[/tex]
[tex]\ ..\sqrt{\frac{(247- 246.6)^2+ (250- 246.6)^2+ (248-246.6)^2+ (246-246.6)^2+ (242-246.6)^2+ (248-246.6)^2+ (244-246.6)^2+}{20} } \ ...[/tex] [tex]\sqrt{\frac{ (245-246.6)^2+ (246-246.6)^2+ ( 246-246.6)^2 + ( 250-246.6)^2+ ( 242-246.6)^2 +( 246-246.6)^2+ ( 242-246.6)^2 }{20} }[/tex][tex]\sigma = 2.87411[/tex]
The margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} , 19} * \frac{\sigma }{\sqrt{n} }[/tex]
[tex]E = 2.093 * \frac{2.87411 }{\sqrt{20} }[/tex]
[tex]E = 1.345[/tex]
The 95% confidence interval is mathematically represented as
[tex]\= x - E < \mu < \= x + E[/tex]
=> [tex]245.6 - 1.345 < \mu <245.6 + 1.345[/tex]
=> [tex]244.26 < \mu < 246.95[/tex]
The pivot function used is
[tex]t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }[/tex]
The height off the ground, in feet, of a certain baseball that travels through the air is given by the equation h = 3.5 + 68t - 16t^2, where t is measured in seconds. Find the height off the baseball, to the nearest foot, when t = 4 seconds.
Answer:
20 feet
Step-by-step explanation:
Plug in 4 as t in the equation:
h = 3.5 + 68t - 16t^2
h = 3.5 + 68(4) - 16(4²)
h = 3.5 + 272 - 256
h = 19.5
So, the height of the basketball is 20 feet
34+987=what please help
Answer:
1021
Step-by-step explanation:
i added 34 +987 and got 1021
How do you write.09 in words?
Answer:
zero point 9
0 and nine tenths
Step-by-step explanation:
When a number is increased by 26, the result is tripled. Then the result is increased by 72. If the final result is 1/2 of the number, what is the value of this number?
Answer:
-60.
Step-by-step explanation:
Let the unknown number be x.
Number is increased by 26 = x+26
Then result is tripled = 3(x+26)
Then the result is increased by 72 = 3(x+26)+72
Final result is [tex]\dfrac{1}{2}[/tex] of the number = [tex]\dfrac{1}{2}x[/tex]
[tex]3(x+26)+72=\dfrac{x}{2}[/tex]
[tex]3x+78+72=\dfrac{x}{2}[/tex]
[tex]3x+150=\dfrac{x}{2}[/tex]
Isolate variable terms.
[tex]3x-\dfrac{x}{2}=-150[/tex]
[tex]\dfrac{6x-x}{2}=-150[/tex]
Multiply both sides by 2.
[tex]5x=-300[/tex]
Divide both sides by 5.
[tex]x=-\dfrac{300}{5}[/tex]
[tex]x=-60[/tex]
Therefore, the required number is -60.
Nathan is stocking bathrooms at the hotel where he works. he has 18 rolls of toilet paper and 9 bars of soap. if he wants all bathrooms to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest combination of bathrooms Nathan can stock
During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?
Answer:
Step-by-step explanation:
$0.30
Step-by-step explanation:
1 bar of candy = $0.20
3 bars of candy = $0.50
To solve, multiply for both:
If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:
9 x 0.20 = $1.80
If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:
9/3 = 3
3 x 0.50 = $1.50
Subtract the total cost of the individual from the pack:
$1.80 - $1.50 = $0.30
. $0.30 is your answer.
c(a + b)- d = f, for a
Answer:
Step-by-step explanation:
C(a + b) = f + d
a + b = (f + d)/C
a = (f + d)/C - b
Write the next 4 digits in the repeating decimal 4.715
Answer:
4.7157157
Step-by-step explanation:
because it is a repeating decimal, it will repeat the terms that come first such as 715.
If f (x) = 3x − 4, Find f (−1) Helpp
Answer:
f(x) = 3x-4
f(-1)= 3(-1) -4
f(-1) = -3-4
= -7
hope this helps uh!
Answer:
f(-1)= -7
Step-by-step explanation:
We are given the function:
f(x)=3x-4
We want to find f(-1). We must plug -1 in for x and solve.
f(-1)= 3(-1)-4
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Multiply 3 and -1.
f(-1)= -3 -4
Subtract 4 from -3.
f(-1)= -7
f(-1) is equal to -7.
Please help. I don’t understand this math problem.
Answer:
(7) The value of -j is 9.
(8) The value of -(-j) is -9.
(9) The value of (-j)(-j) is 81.
Step-by-step explanation :
Part 7:
Given algebraic expression is:
j = -9
Now we have to determine the value of (-j).
-j = - (-9) = 9
The value of -j is 9.
Part 8:
Given algebraic expression is:
j = -9
Now we have to determine the value of -(-j).
- (-j) = - [-(-9)] = -9
The value of -(-j) is -9.
Part 9:
Given algebraic expression is:
j = -9
Now we have to determine the value of (-j)(-j).
(-j)(-j) = [- (-9)] × [- (-9)] = 9 × 9 = 81
The value of (-j)(-j) is 81.
Help please TYSM IF YOU DO!
Answer:
I think it is mean
Step-by-step explanation:
because mean would be the average of the scores
Answer: The mean
Step-by-step explanation:
The mean will show the average of the teams scores.
What is the sum?
−1.5+1.9
Enter your answer, as a decimal, in the box.
Answer:
0.4
Step-by-step explanation:
Answer: it's 0.4 as a decimal
Step-by-step explanation:
Perform row operations: The three elementary row operations can be performed in MATLAB using the following commands Type I: A([i,j], :)=([j,i],:) interchanges row i and row j Type II: A(i,:)=2*A(i,:) multiplies row i by a Type III: A(i, :)=A(i, :)+ q*A(j,:) multiplies row j by a and adds it to row i Enter the following matrix: [ 3 5 4 -12 -23 -14 6 4 14] Perform row operations in MATLAB that reduce the matrix A to Row Echelon Form. Use format rat.
Answer:
The solution and the calculation is shown on the first uploaded image
Step-by-step explanation:
the sum of two numbers is 58. The larger number is 22 more than the smaller number. What are the numbers?
PLEASEEE HELPPP
Solve for x:
Second option, just do Pemdas backwards.
Plz help 7th grade math
Answer:
9feet
Step-by-step explanation:
B= -34 M=-25
-34-(-25)=-34+25=9
Answer:
9 feet
Step-by-step explanation:
Brett is -34 feet and Max is -25 feet from sea level.
In order to find how many feet Max is above Brett, we can change the numbers to be positive and subtract Brett's distance - Max's distance
34-25=9
Max is 9 feet above Brett