Answer:
[tex]\frac{x^6(x+29)}{3(3x-8)}[/tex]
Step-by-step explanation:
IT'S A TIME SENSITIVE EMERGENCY!!!
2. Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Parking lot: mile Summit: 1 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: "The total hike is three times as long as what we have already gone." Can they all be correct? Explain how you know.
Complete question is missing, so i have attached it.
Answer:
Yes, they are all correct
Step-by-step explanation:
From the attached image, we see that the sign is showing;
Parking lot: ¾ miles
Summit: 1½ miles
Summit distance can also be expressed as an improper fraction = 3/2 miles
Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.
Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles
Now, let's analyze each of their statements;
Mai said they are a third of their way there.
They had covered 3/4 mile and the total distance is 9/4 miles.
Thus, fraction of total distance covered is;
9/4 ÷ 3/4 = 1/3.
So, Mai is correct
Clare said they have to go twice as far as they had already gone.
They had covered 3/4 miles.
Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.
Thus, Clare is correct
Tyler said that the total hike is three times as long as what we have already gone.
They had gone 3/4 miles
3 times this = 3 × 3/4 = 9/4 miles.
This tallies with the total distance calculated earlier.
Thus, they are all correct
Write the rule for the nth term of the sequence 2, 6, 18, 54, ... Then find a8.
Answer:
Multiply by 3
a8 = 4,374
Step-by-step explanation:
4x + y=7
2x - 7y=1
If (x,y) is the solution to the given system of equations, what is the Value of X?
Answer:
[tex]x = \frac{5}{3} [/tex]
Each of the samples below is randomly selected from a company with 320 employees. Choose which samples are representative samples for the company. Select all that apply. A. 25 employees on the company email list B. 25 employees with 10 years of service or more C. 25 employees as they begin their shifts at 3:00 pm D. 25 employees at a company-wide assembly E. 25 employees from the human resources department
Step-by-step explanation:
For all the recent strides we’ve made in the math world, like how a supercomputer finally solved the Sum of Three Cubes problem that puzzled mathematicians for 65 years, we’re forever crunching calculations in pursuit of deeper numerical knowledge. Some math problems have been challenging us for centuries, and while brain-busters like the ones that follow may seem impossible, someone is bound to solve ‘em eventually. Maybe.
For now, take a crack at the toughest math problems known to man, woman, and machine.
1. The Collatz Conjecture

DAVE LINKLETTER
Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.
A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.
Tao’s recent work is a near-solution to the Collatz Conjecture in some subtle ways. But his methods most likely can’t be adapted to yield a complete solution to the problem, as he subsequently explained. So we might be working on it for decades longer.
The Conjecture is in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but that’s what makes it special. Why is such a basic question so hard to answer? It serves as a benchmark for our understanding; once we solve it, then we can proceed to much more complicated matters.
The study of dynamical systems could become more robust than anyone today could imagine. But we’ll need to solve the Collatz Conjecture for the subject to flourish.
Answer:
Sorry brillant26 or whatever gave you a invalid answer. its actually A (25 employees on the company email list) and D (25 employees at a company wide assembly)
Hope this helps!!
Have a nice day!!
Step-by-step explanation:
PLEASE HELP ASAP! thank you!
How is your day today? Anyway what is 4 + 4 x 4
im good :) what about you and its 32
It was good, and that answer is 20. 4 + 4 x 4 you multiply first which gives you 16 then add 4.
How many solutions does -2 + 5p + 10 = 10 + 3p have?
Answer:
Only 1 solution
Step-by-step explanation:
-2 + 5p + 10 = 10 + 3p
Subtract 10 from both sides:
-2 + 5p + 10 -10 = 10 + 3p- 10
Simplify:
-2+5p=3p
Add 2 to both sides:
-2+5p+2=3p+2
Subtract 3p from both sides:
5p-3p=3p+2-3p
simplify:
2p=2
Divide both sides by 2:
2p/2=2/2
Simplify:
p=1
The amount C in grams of carbon-14 present in a certain substance after t years is given by
C = 52e-0.0001097
a. What is the initial amount of carbon-14 present?
Answer:
987e-628479.9079083
Step-by-step explanation:
Answer:
maybe 7
Step-by-step explanation:
2 cups is to 8 cans as 14 cups is to ___ cans?
Answer:
56
Step-by-step explanation:
The ratio is 1:4
14 * 4 = 56
Answer: 56
Step-by-step explanation:
8 ÷ 2 = 4 (cans) - it is 1 cup.
14 × 4 = 56 (cans) - it is 14 cups.
A.The Murray family has produced 8 children.
What is the probability that there are an equal number of boys and girls?
B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?
Answer:
A. 0.2734 = 27.34% probability that there are an equal number of boys and girls
B. 0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly
Step-by-step explanation:
In each of these questions, the binomial probability distribution is used.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A.The Murray family has produced 8 children.
What is the probability that there are an equal number of boys and girls?
8 children means that [tex]n = 8[/tex]
Each children is equally as likely to be a boy or a girl, which means that [tex]p = 0.5[/tex]
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734[/tex]
0.2734 = 27.34% probability that there are an equal number of boys and girls
B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?
80% accurracy rate means that [tex]p = 0.8[/tex]
7 questions means that [tex]n = 7[/tex]
The probability is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.8)^{5}.(0.2)^{2} = 0.2753[/tex]
0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly
Consider the following question.
"Do you watch television every day?"
Which of the following statements BEST explains why the question is NOT a statistical question?
A The question does not anticipate variability in the answers
B The question results in a single absolute answer.
C The question may be answered differently by different people.
D. The question does not require an explanation
Answer:
a
Step-by-step explanation:
Answer:
C, the only info for the question is about yourself which is a survery question
Step-by-step explanation:
In degrees what is the measure of MFE
HELP PLS I AM TIMED
Answer:
ADD THEM AND THEN SUBSTRACT THE RWO NUMBER AND DIVIDE YOUR X!!
Step-by-step explanation:
Which of the following is the MOST reasonable equation for the line of best fit?
Answer:
either c or b that's what I think
Factorise the following.
Answer:
iii. (l + m - n)(l - m + n)
vi. (5a -b) ( 5b - a)
Step-by-step explanation:
iii. l² - (m - n)²
= (l + m - n)(l - m + n)
vi. 4(a+b)² - 9(a-b)²
= (2(a+b))² - (3(a-b))²
= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))
= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)
= (5a -b) ( 5b - a)
Q. 1) l²- (m - n)²
=(l - m + n)(l + m - n)
Q.2) 4(a+b)²- 9(a-b)²
= [(2(a+b))²- (3(a-b))²]
=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]
=[2a+2b+3a-3b][2a+2b-3a+3b]
=[5a-b][5b-a] ]
The International Space Station has small cupboards that are used for storage. A cupboard door is drawn below. (Look at picture)
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work?
(Please make answer simple yet reasonable. Thank you for answering, have a blessed day everyone! I am thankful to have people to help and support me.)
By using trigonometric relations we will see that the area is:
[tex]A = h*tan(60\°)*/2 = tan(60\°)*h^2/2[/tex]
How to find the area of one triangular section?
Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.
Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).
h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:
tan(60°) = x/h
x = tan(60°)*h
Then our two catheti are h and tan(60°)*h.
This means that the area will be:
[tex]A = h*tan(60\°)*/2 = tan(60\°)*h^2/2[/tex]
Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).
If you want to learn more about right triangles:
https://brainly.com/question/2217700
#SPJ1
Answer:
the guy on top is correct
Step-by-step explanation:
50 points
tan⁻¹(√3) − cot⁻¹(−√3) is equal to ???
Can anyone solve this?
Answer:
I think it -pie/2 but I could be wrong
17 apples for $3.91 what is the unit rate per apple
9514 1404 393
Answer:
$0.23 per apple
Step-by-step explanation:
The cost per apple is found by dividing the cost by the number of apples. (You can think of "per" as meaning "divided by".)
cost/apple = $3.91/(17 apples) = $0.23 /apple
Find the coordinates of the midpoint between the two
points on the graph.
Answer:
(0,2)
Step-by-step explanation:
Cords are ( 0, 4 ) and ( 4, -4)
x1 + x2 / 2 , y1 +y2/2
0 + 4 / 2 , 4 - 4 / 2
4/2,0/2
(2,0)
if anyone know the answers to this question i really need help.
Answer:
b.) 6
Step-by-step explanation:
2^6 = 64 because 2 * 2 * 2 * 2 * 2 * 2 = 64.
geometry please help me!!
Answer:
N=433.31
Step-by-step explanation:
720(cos(53))=(n/720)720
n=720cos(53)
n=433.306
n=433.31
Hope this helps i aced this unit
A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 27 subs today. How many of each kind
did they sell?
Answer:
4+5=9
27÷9=3
they sold 3 types of each because if you do 3×5=15 and 3×4=12 and add 12 and 15 you get 27.
Help please!!!!!!!!!!
Answer:
6/8,
12/16,
24/32
48/64
96/128
192/256
384/512
Step-by-step explanation:
Determine whether each sequence appears to be an arithmetic
sequence. If so, find the common difference and the next three terms
in the sequence.
1) 3,9,26,81 ...
2) 5,6.5,8,9.5...
what is 2(12) 3/2 in its simpilist form
Answer: 2/12 --> 1/6
3/2 --> 1 1/2
Step-by-step explanation:
2/12 can be simplified by dividing the top by 2 and the bottom by two. 2 is the GCF (greatest common factor) of both 2 and 12.
3/2 is a improper fraction so you have to make it a proper fraction. To do that you get 1 and 1/2. <-- this is for simplest form.
Hope this helped!
help with geometry question please
Answer:
Length of parallel side 2 = 2.91 km
Step-by-step explanation:
Given figure is a trapezoid
Given:
Area of trapezoid = 16.3 km²
Length of parallel side 1 = 5.9 km
Height of trapezoid = 3.7 km
Find:
Length of parallel side 2
Computation:
Area of trapezoid = [Sum of parallel side/2]Height
Area of trapezoid = [(a+b)/2]h
[(5.9 + b)/2]3.7 = 16.3
Length of parallel side 2 = 2.91 km
2028.863 rounded to the nearest hundredth
Answer:
2028.863 to the nearest hundredth
The Number In The Hundredth Place Is 6 And The The Number Following Is 3 And Because Its Less Than 5, The 6 Will Remain.
So Its 2028.86
Answer:
2,028.86
Step-by-step explanation:
this is the correct answer to your question
THIS IS AN ESSAY NOT JUST AN ANSWER
Prompt:
What does it mean to multiply polynomials?
Explain how to multiply (x + 2) (X - 4) as if you're teaching a student a year
younger than you.
Answer:
We assume before this you have learned how to multiply two monomials and monomial with binomial.Use the following formula to multiply binomials:
(a + b)(c + d) = ab + ad + bc + bdApplied to the given expression, we have:
(x + 2)(x - 4), where a = x, b = 2, c = x , d = -4Expand as indicated above:
(x + 2)(x - 4) =x(x) + x(-4) + 2(x) + 2(-4)Now simplify
x² - 4x + 2x - 8Collect like terms, (-4x) and (2x):
x² + (-4x + 2x) - 8 = x² - 2x - 8This is how you can do same order operations with any binomials.
We can simply use distributive law of grade 1
(a+b)(c+d)=ac+ad+bc+bdI assume you know multiplication of monomials
So
(x+2)(x-4)x(x-4)+2(x-4)x²-4x+2x-8x²-2x-8Julie has a large red apple in her hand that is 4 ft off the ground. A blue bird sees the apple at an
angle of depression of 55°. If Julie is 15 ft from the tree, how tall is the tree?
Answer:
Step-by-step explanation:
so from the silly drawing, you can see that the triangle is 4 feet off the ground, and that we want to find the Opp side from our angle of 15 °
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
use TOA to find the Opp side of the triangle .. which is labeled X
Tan(15) = X / 15
15* Tan(15) = X
4.019 = X
so the bird is up 4 feet in the tree.. not very high up, plus the 4 feet that the apple is already off the ground, soo
the tree... to where the bird is, at least, is 8.019 feet..
did this make sense? :/
hope the drawing helped :P
What is the eighth term in the pattern 2,10, 18,26,
Help plz right answer only help me