Answer:
a(n) = -16b + (n - 1)(3b)
Step-by-step explanation:
First term is -6b.
Common difference is 3b; each new term is equal to the previous one, plus 3b.
Formula for this arithmetic sequence is
a(n) = -16b + (n - 1)(3b)
What are the coordinates of point K ?
Please give correct answer ASAP!!! I will give 20 points !!
Answer:
(-4,0)
Step-by-step explanation:
coordinate (x,y)
x=-4
y=0
Answer: (-4,0)
Step-by-step explanation: so its set up as (x,y) for coordinating points!
What is a perfect 5 pointed star
Answer:A perfect 5 pointed star geometrically is an equilateral concave decagon, it is also a common ideogram in modern culture.
Step-by-step explanation:
Mrs. Riddell had 1/2 of the blueberry pie. Ms. Braddock ate 1/4 of the pie. Mrs. Muse ate 1/8 of the pie. How much pie did the 5th grade teachers eat altogether? *
Answer:
7/8
Step-by-step explanation:
Answer: 7/8 of pie
Step-by-step explanation:
Use a common denominator then multiply the numerator
It takes a snail 50 hours to travel 22 miles. At this rate, how many hours will it take the snail to travel 11 miles?
Answer: 25 hours
Step-by-step explanation:
Answer:
25 hours
Step-by-step explanation:
Write your question here (Keep it simple and clear to get the best answer)striangle has vertices A(2;5); B(1;-2) and C(-5;1). Determine:(a) the equation of the line BC. (b) The equation of the perpendicular line from A to Bc
(a) y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex]
(b) y = 2x + 3
Step-by-step explanation:
(a) The equation of a line given by points M(x₁, y₁) and N(x₂, y₂) is given by:
y - y₁ = m(x - x₁) -------------------(i)
Where;
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = slope or gradient of the line ---------------(ii)
Given points on the triangle are:
A(2,5)
B(1,-2)
C(-5,1)
To find the equation of line BC, we use the formulas in equations (i) and (ii) where the points of the line are B(1,-2) and C(-5,1) and;
x₁ = 1
y₁ = -2
x₂ = -5
y₂ = 1
==> First get the gradient using equation (ii) as follows;
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] = [tex]\frac{1 - (-2)}{-5 -1}[/tex]
m = [tex]\frac{3}{-6}[/tex]
m = [tex]\frac{-1}{2}[/tex]
==> Now, use equation (i) to find the equation of the line as follows;
y - (-2) = [tex]\frac{-1}{2}[/tex](x - 1)
y + 2 = [tex]\frac{-1}{2}[/tex](x - 1)
Multiply both sides by 2
2(y+2) = -1 ( x - 1 )
2y + 4 = -x + 1
2y = -x + 1 - 4
2y = - x - 3
y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex]
Therefore, the equation of the line is y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex]
(b) To find the perpendicular line from A to BC, note that
i. two lines are perpendicular if they meet at 90°
ii. the general equation of a line could also be written as y = mx + c where m is the slope and c is the intercept.
iii. when one line has a slope of m, then a perpendicular line to that line will have a slope of [tex]\frac{-1}{m}[/tex]
The equation of line BC is y = [tex]\frac{-1}{2}[/tex]x - [tex]\frac{3}{2}[/tex].
This means that BC has a slope of [tex]\frac{-1}{2}[/tex]
A perpendicular line from A to BC will have a slope of 2.
Now to get the equation of this perpendicular line from A(2, 5) to BC, we use the general equation of a line given in equation (i)
where;
m = 2
x₁ = 2
y₁ = 5
Substitute these values into equation (i)
y - 5 = 2(x - 2)
Solving by simplification gives;
y - 5 = 2x - 2
y = 2x + 3
Therefore, the equation of the perpendicular line is y = 2x + 3
A rectangular garden is 6 × 10^4 cm long and 3 × 10^5 cm wide. What is the area of the garden?
Answer:
(1.)6×10-4=56 (2.) 3×10-5=25
Answer:2 x 10^9
Step-by-step explanation:
Translations and reflections
Answer:
The answer is A. x + 5, y - 2
Step-by-step explanation:
The answer is A because you would move the block 5 spaces to the right and 2 spaces down.
Hope this helps!
If a cat eats 4 pounds of food in 5 days, how many pounds will it eat in 60 days? I think it’s 48 correct?
Answer:
48 pounds is correct
Step-by-step explanation:
In order to find the amount of food for 60 days, we must find how much the cat eats in 1 day.
We are given the ratio: 4 pounds, 5 days
To find the pounds for 1 day, we must divide 4 by 5, which will give us 4/5 or 0.8.
Now, to find the number of pounds for 60 days, we have to multiply by the amount of food eaten in one day, which is 4/5.
4/5 times 60 is 48.
Therefore, 48 pounds of food will be eaten in 60 days.
Someone pleaseee help!! I’ll give brainliest!!
.....................
Answer: 65.97 yd^3
Step-by-step explanation:
The equation to find the volume of a cone is: v=[tex]\pi r^{2} \frac{h}{3}[/tex]
So, v = [tex]\pi[/tex] (3^2)(7/3) = 65.97345 yd^3
Rays PQ and PS are perpendicular to each other.
What is the measure of LRPS plzzzzz
Answer:
m<RPS = 53 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram shown;
m<QPR + m<RPS = 90
Given that;
m<QPR = x
m<RPS = x+16
Substitute into the formula;
m<QPR + m<RPS = 90
x+x+16 = 90
2x+16 = 90
2x = 90-16
2x = 74
x = 74/2
x = 37degrees
Get m<RPS;
Since m<RPS = x+16
m<RPS = 37 + 16
m<RPS = 53 degrees
i think of a number add three to it and multiply the outcome by 7 the solution is 24.5 set up an equation and solve it to find my original number
Type in the value of x.
12x - 2
130°
Answer:
Good question could someone answer it. I would like to know also
There are 10 sweets in a box. There are n jelly beans and the rest are cola bottles. Colin takes 2 sweets out of the box at random. Write an expression for the probability of getting 2 jelly beans. Give your expression as a single fraction and simplify fully.
The probability expression is n/10 * (n - 1)/9 and the single fraction is n(n - 1)/90
How to determine the probability expression?We understand that there are 10 sweets in the box
Such that
Jelly beans = n
This means that
The rest = 10 - Jelly beans
So, we have
The rest = 10 - n
The probability of 2 jelly bean sweet is represented as
P(2 jelly bean sweets) = P(First jelly bean sweets) * P(Second jelly bean sweets)
This gives
P(2 jelly bean sweets) = n/10 * (n - 1)/9
Solving further, we have
P(2 jelly bean sweets) = n(n - 1)/90
Hence, the probability is n(n - 1)/90
Read more about probability at
https://brainly.com/question/251701
#SPJ1
The correct answer is:
(10-n)(9-n)/90
mark it as brainly
Carmella is making a rectangular flower garden in her backyard. The space she wants to use is 4 meters in length and 2 meters wide. How much space will she have in her garden?
Answer:
8 meters
Step-by-step explanation:
4x2=8
find the expected value of the winnings from a game that has the following payout probability distribution. Pls help
Answer: it’s 10.0
Step-by-step explanation:
Select the correct answer.
A chemist has 50 grams of the isotope gold-196 which has a half-life of one week. This means that the amount of the sample decreases
by half each week. Determine the equation and the graph of its solution set to represent the amount of gold-196 over the course of
several weeks.
Answer:
Step-by-step explanation:
Y=25{1/2) x
Answer:
The answer is W.
Step-by-step explanation:
A small business wants to meet the minimum medical loss ratio required. If projections show that the business will pay out an average of $8,900 per policy holder in health care claims, what is the minimum average premium they should charge per policy holder?
Answer:
$7120 or $7565 is the minimum average premium they should charge per policy holder
Step-by-step explanation:
Small business can charge 80-85% of the total value of the policy as premium.
In this case the spending per policy holder is $8900
Hence, per policy holder has to pay a premium of
80-85% of $8900
$7120 or $7565 is the minimum average premium they should charge per policy holder
A car dealership tracks the highway fuel efficiency of the preowned cars on the lot. The dot plot displays the collected data. What is the median fuel efficiency for the preowned cars?
A.
40 MPG
B.
35 MPG
C.
30 MPG
D.
45 MPG
GIVING BRAINLIEST -23 points-
URGENT HELP ME PLEASE!!!
Answer:
The answer is option c....
Mark as brainliest
I really need help right now someone help pls!!!
Please help math problem
Answer:
Step-by-step explanation:
HELP!! Which truck pulled 2,000 pounds at the average
speed of 2 yards per minute?
Marking brainliest (easy)
Is it foolish to fear?
Don’t use outside sources !!
Step-by-step explanation:
Yes.. because we should not fear of anything because if we fill something unsuitable or suspecious or something else then that feeling is said to be fear for me....
But for me what a person can do who has fear??
To prevent fear...
Make your heart fool that nothing is there..All is going well..
Answer:
Not at all. Fear may seem like a negative term because it can be a negative emotion. Fear, most of the time is a matter of survival. In my opinion, it is not foolish to fear but it is foolish to fear the unknown. (Also, is this a quote from an anime? I think I have heard it before) Hope this helps.
HELPPP PLEASEEEE
30 POINTSS
Answer: 1/2 mile
Step-by-step explanation:
[tex]2\frac{1}{2} -(\frac{1}{4} +1\frac{3}{4} )=Distance\\\22\frac{1}{2} =\frac{10}{4} \\\11\frac{3}{4} =\frac{7}{4} \\\frac{10}{4} -\frac{1}{4} -\frac{7}{4} =\frac{2}{4} =\frac{1}{2} \\[/tex]
Answer:
1/2 mile hope this helps
Step-by-step explanation:
Explain why the following statement IS NOT a statistical question. "How
much electricity did Home 2 use on Day 1?"
Answer:
Because it only has one answer and there are no variety of answers.
hope this helps
I REALLY NEED HELP PLEASE A twelve-pack of Orange Crush is priced at $3.00. A six-pack is priced at $1.75. Which is the better value? A. The twelve-pack is better because each soda cost $0.25 B. The six-pack is better because each soda cost $0.25 C. The twelve-pack is better because each soda cost $3.00 D. The six-pack is better because each soda cost $1.75
Answer:
A. The twelve-pack is better because each soda cost $0.25
Step-by-step explanation:
12 x 0.25 = $3.00 which is only like a buck and 25 cents more for 6 more orange juices.
In the market, you would buy the 12 pack because $1.25 is less than 6 more orange crushes. Also, it's a solid deal and the rate is not pricey! :)
Doug worked out for 256 minutes.
Doug has an enemy named Cathy
Cathy worked out a total of 4 hours and 15 minutes.
Who worked out more? What was the difference in minutes?
Answer:
Step-by-step explanation:
Cathy worked 4 hours.
4 hours = 4 * 60 = 240 minutes
She worked an additional 15 minutes which brings her total up to 255.
Doug worked 1 minute longer than Cathy.
Answer:
a.) Doug worked more. b.)The difference is one minute.
Step-by-step explanation:
CAN BE DONE DIFFERENTLY
Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.
60
x4
240
Now adding the 15 it'll be 255.
DOUG WORKED MORE.
DIFFERENCE IS 1 MINUTE.
PLEASE ANSWER EACH OF THESE QUESTIONS ACCURATELY IM GIVING OUT BRAINLIEST !!!! D:
Answer:
1. 13x2+7x-2
2. 13x2-3x-8
3. -2x2+3x-7
4. 210in2
5. 294.93sq ft
Step-by-step explanation:
please help it's easy
You're playing a game where you defend your village for me or evasion there are three characters of habit or human and five defensive tools magic sword shield slingshot or umbrella to pick from if you randomly choose your character into what is your probability that you won't be a hobby or use an umbrella
Answer:
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
Step-by-step explanation:
Your question is poorly formatted (See comment section for complete question)
Given
[tex]x = \{elf, hobbit, human\}[/tex] ---- characters
[tex]n(x) =3[/tex]
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools
[tex]n(y) = 5[/tex]
Required
The probability that your character won't be a hobbit or your tool won't be an umbrella?
First we calculate the probability of choosing a hobbit.
[tex]x = \{elf, hobbit, human\}[/tex]
[tex]n(hobbit) = 1[/tex]
So:
[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]
[tex]P(hobit) = \frac{1}{3}[/tex]
Using the complement rule, we calculate the probability of not choosing a hobbit
[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]
[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]
[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]
Next, we calculate the probability of choosing an umbrella.
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]
[tex]n(Umbrella) = 1[/tex]
So:
[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]
[tex]P(Umbrella) = \frac{1}{5}[/tex]
Using the complement rule, we calculate the probability of not choosing an umbrella
[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]
[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]
[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]
The required probability is calculated using:
[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]
In this case;
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]
Take LCM
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]