Answer:
n = the first
n + 1 = the 2nd
n + 2 = the 3rd
n(n + 2) - (n + 1) = 10(n + 2) + 1
n2 + 2n - n - 1 = 10n + 20 + 1
n2 - 9n - 22 = 0
(n - 11)(n + 2) = 0
If two factors = 0, at least one must = 0.
n - 11 = 0
n = 11
11,12,13
n + 2 = 0
n = -2
-2,-1,0
What is the distance between the points (-2, 1) and(1,3) ?Round your answer to the nearest tenth
To answer this question we're going to need to use the distance formula, which is
d = √((x2 - x1)2 + (y2 - y1)2)
We are given two points:
(x1, y1) = (-2, 1)
(x2, y2) = (-5, 3)
d = √((-5 - (-2))2 + (3 - 1)2)
= √((-3)2 + (2)2)
= √(9 + 4)
= √(13)
≈ 3.6056
Since it says to round to the nearest tenth, the distance between the 2 points is
3.6 units
d=3.6
The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.)
Answer:
4.75 years are required to triple the population
Step-by-step explanation:
As we know
[tex]\frac{dP}{dt} = P\\[/tex]
Integrating both the side with respect to t we get
[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]
At t = 0, P = P0
[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]
substituting K value in main equation, we get -
[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]
4.75 years are required to triple the population
HELP ME PLEASE PLEASE PLEASEEEEE
Answer:
B) 14/3 > sq rt 8
Step-by-step explanation:
proof:
14/3=4.67
sq rt 8=2.83
4.67>2.83
The answer is A ........
habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360
¿Con cuánto debe cooperar cada comunidad?
¿Cuál es la aportación por persona en las tres comunidades?
Answer:
La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.
Step-by-step explanation:
Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:
120 + 240 + 360 = 720
C = 1/2 x 360,000 = 180,000
B = 1/3 x 360,000 = 120,000
A = 1/6 x 360,000 = 60,000
Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.
A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:
360,000 / 720 = 500
Así, cada comunidad aportará $500 por persona.
How does the product of 4/5 and 7/7 compare to 4/5 ? Greater than less than or equal to ??
Answer:
It is equal to 4/5
Step-by-step explanation:
7/7 is 1 whole
4/5 times 1 is 4/5
Answer:
The answer should be equal to
Step-by-step explanation:
.8 multiplied by 1 will be .8
4/5=.8
PLEASE HELP ASAPPP!!! tank youuu
A~~~~~~~~~~~~~~~~~~~~~~~~
Answer:
a
Step-by-step explanation:
The person above got it right give brainliest to her/he
The perimeter of a rectangle is 32. The width is four less than the length. Find the length of the rectangle.
Step-by-step explanation:
all the explanation is in the photo
What are the coordinates of the image of vertex P after a reflection of rx-axis(x, y)?
Answer: (-7, 4)
1- the x-coordinate of the reflected point is the same as the x-coordinate of the original point
2- the y-coordinate of the reflected point has the same value but opposite sign of the y-coordinate of the original point
A construction worker dropped a hammer while building the Grand Canyon skywalk, 4000 feet above the Colorado River. Use the formula, t = h 4 , to find how many seconds it took for the hammer to reach the river. Round your answer to the nearest second.
Answer: Hammer reaches river after 15.8 seconds.
Step-by-step explanation:
Use formula: t = square root of h divided by 4. In this problem h = 4,000.
Therefore,
T = square root of 4,000 divided by 4.
T = 15.8 seconds
Simplify (4j - 3.1c +5) + ( -7 - 4j - 0.9c)
I need help quick I can’t fail I need a good grade pls help
Answer:
ok I will try and tell you
CAN ANYONE HELP ME I WILL MARK AS BRAINLIEST
Solve the word problem and Write the statements.
Grade 3 students used three rolls of ribbons measuring 300 metres, 286 metres and 258 metres for dance in primary Concert. Find the total length of ribbons.
is 1.75 greater than 1.5
Yes, the fraction 1.75 is greater than the 1.5.
What are fraction numbers?In mathematics, a fraction is a numerical value that expresses a portion of a total. The term "whole" can refer to any number, a certain value, or an object. The fraction symbol is written as p/q. For instance, 1/4, 1/2, 3/4, and so forth.
Two whole numbers (the fraction terms) separated by a horizontal line are used to calculate the fractional numbers (the fraction line).
In this Question, the fraction is represented as a decimal number. Since
the number before the decimal is the same. Thus we will compare the value of the number that is after the decimal. here we can see 75 is greater than 50.
Therefore, It is true that the fraction 1.75 is larger than 1.5.
Learn more about fraction numbers here:
https://brainly.com/question/29964611
#SPJ2
Verizon Wireless charges
$0.09 for every 5 text
messages sent. How much
is your bill if you send 75
texts?
Make this into a equation
if a function f is defined such that f(x+3) = f (x) + f(3) show that f(-3) = -f(3)
Answer:
[tex]Solution,\\f(x+3)=f(x)+f(3).......(1)\\Put~x=0~in~eq^n~(1),\\f(0+3)=f(0)+f(3)\\or, f(3)=f(0)+f(3)\\or, f(0)=0.........(2)\\Now,\\Put~x=-3~in~eq^n(1),\\f(-3+3)=f(-3)+f(3)\\or, f(0)=f(-3)+f(3)\\From~eq^n(2),\\0 = f(-3)+f(3)\\or, f(-3)=-f(3)~proved[/tex]
Which pairs show equivalent expression
Hey blink!!!!!!! second one is your answer
Dennis is getting balloons for his grandmother's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 56 balloons, how many yards of string will he need?
1 foot = 1/3 yard
Answer:
168 yards
Step-by-step explanation:
3 feet = 1 yard
9 (ft for each balloon) x 56 (# of balloons.) = 504 (ft of string needed in total)
504 (ft in total) divided by 3 (three feet = 1 yard) = 168 (yards of string needed)
Help me pls pls pls
Help me out with this question please I need help ✏️✏️
Answer:
Step-by-step explanation:
The measures of the angles are 2x, 5x, and 5x.
2x+5x+5x = 180°
12x = 180°
x = 15°
2x = 30°
5x = 75°
The ratio of the angles are 30:75:75
Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 (a) Find the percentile of 37. th percentile
Answer:
34.5
Step-by-step explanation:
Given the data:
X : 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77.
The 37th Percentile :
37/100(n + 1)th term
n = sample size = 32
Therefore,
0.37(32 + 1)th term
0.37(33)th term = 12.21 th term
(12th + 13th) term ÷ 2
(33 + 36) / 2
69 / 2
34.5
The 37th percentile is 34.5
Choose Yes or No to tell if the number 30 will make each equation true.
270 ÷ □ = 9
Choose...
1,200 ÷ □ = 400
Choose...
9,000 ÷ □ = 300
Choose...
600 ÷ □ = 20
Choose...
(will mark brainiest and 5 points pls answer its for a test due in 20 min).
Answer:
1. Yes
2. No
3. yes
4. yes
Baker sammy helppppp
Answer:
[tex]a = 8.5t[/tex]
[tex]y = 32.55[/tex]
Step-by-step explanation:
Solving (9): The equation of the table
We start by calculating the slope (m)
[tex]m = \frac{a_2 - a_1}{t_2 - t_1}[/tex]
Where:
[tex](t_1,a_1) = (15,127.5)[/tex]
[tex](t_2,a_2) = (16.5,140.25)[/tex]
[tex]m = \frac{140.25 - 127.5}{16.5 - 15}[/tex]
[tex]m = \frac{12.75}{1.5}[/tex]
[tex]m = 8.5[/tex]
The equation is then calculated using:
[tex]a = m(t - t_2) + a_2[/tex]
So, we have:
[tex]a = 8.5(t - 16.5) + 140.25[/tex]
Open bracket
[tex]a = 8.5t - 140.25 + 140.25[/tex]
[tex]a = 8.5t[/tex]
Solving (10):
[tex]4.8y = 156.24[/tex]
Required
Find x
Divide both sides by 4.8
[tex]y = 32.55[/tex]
36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13
Help now plsssssssssssssssssssssss
Answer:
Your answer is 5009.2
Upvote it. Welcome
Answer:
5009,206
Step-by-step explanation:
Hope this helped!
Someone please help!!!!! i will mark brainliest :)
Answer:
you have to solve all of the equations i none square and then once you have all of the answers in each square, add them up and then solve the questions down below
Step-by-step explanation:
correct me if im wrong
NEED HELP ASAP!!!Of all the students who tried out for volleyball, 83% made the team what fraction of the students who tried out did NOT make the team?
Answers
4/5
1/5
3/4
1/3
Answer:I think it’s 1/5 but if u have another attemp and it’s wrong somehow do 1/3
Step-by-step explanation:
Answer:
3/4 or 1/3
Step-by-step explanation:
I WILL MARK BRAINLIEST :) Determine which segment is shortest in the diagram.
Answer:
C.
Step-by-step explanation:
Answer:
C. Segment AC
Step-by-step explanation:
I am going to figure all the angles first. Triangles always add up to 180 degrees so I am going to use that.
50 + 49 = 99
180 - 99 = 81
<C = 81°
99 + 37 = 136
180 - 136 = 44
<A = 44°
The shortest segment is always going to be opposite the smallest angle. The smallest angle is 37°. Therefore, Segment AC is the shortest.
A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered.
Which equation would allow you to calculate the price of any number of subs delivered?
Hint: x represents the number of subs
a
6x
b
2 - 6x
c
2 + 6x
d
6x(2)
Answer:
I think D or A
Step-by-step explanation:
since it goes from 20 to 26 it should be adding 6 and also multiplying by 2
yea
Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start with rain clouds in the air, 20% of all days start with clouds in the air, and rain only typically occurs on 1 out of every 10 days, what is the probability that it will rain today and ruin your picnic
Answer:
0.25 = 25% probability that it will rain today and ruin your picnic
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Cloudy skies
Event B: Rain
20% of all days start with clouds in the air
This means that [tex]P(A) = 0.2[/tex]
50% of rainy days start with rain clouds in the air
50% of 10%. So
[tex]P(A \cap B) = 0.5*0.1 = 0.05[/tex]
What is the probability that it will rain today and ruin your picnic
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25[/tex]
0.25 = 25% probability that it will rain today and ruin your picnic
For a certain population of sea turtles, 18 percent are longer than 6.5 feet. A random sample of 90 sea turtles will be selected. What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90
Answer:
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
18 percent are longer than 6.5 feet.
This means that [tex]p = 0.18[/tex]
A random sample of 90 sea turtles
This means that [tex]n = 90[/tex]
What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.18*0.82}{90}} = 0.0405[/tex]
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405
In this exercise we have to use the knowledge of proportionality to calculate the samples, so we have to:
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.00164
Using the knowledge about central limit theorem, we will have what the proportion will be;
For a balance between parts of whole p fashionable a sample of extent or bulk of some dimension n, the sampling allocation of the sample relative amount will exist nearly usual with mean and predictable difference, so we have that:
[tex]S=\sqrt{\frac{p(1-p)}{n} }\\p=0.18\\n=90\\S=\sqrt{\frac{0.18(1-0.18)}{90} }=0.00164[/tex]
See more about proportion at brainly.com/question/2548537