Answer:
The actual correct answer is this: 2022⁸! Hope this helps!
I need help with this question
What does x = ?
Answer:
x = 1
Step-by-step explanation:
f(x) = g(x) where the graphs cross, at x = 1.
Members of a book club go out to lunch and decide to split the bill. Their bill is $27.00, plus they want to leave a 15% tip. The final amount will be split 3 ways.
What is the amount each person will pay?
$9.46
$10.08
$10.35
$11.75
Answer:
$27.00x.15=4.05
27.00+4.05=$31.05
$31.05/3= 10.35
Each person will pay $10.35
2022-01-27
Suppose [tex]a_{n}[/tex] as the sum of the numbers in which the quotient and the remainder are equal when divided by [tex]n.[/tex] For example, [tex]a_{5}=6+12+18+24=60.[/tex] Find the least [tex]n[/tex] such that [tex]a_{n}\ \textgreater \ 500.[/tex]
Answer:
n = 11Step-by-step explanation:
We can observe general terms of n:
aₙ = n + 1 + 2n + 2 + 3n + 3 + ... + (n - 1)n + (n - 1)Rewrite it as:
aₙ = (n + 1) + 2(n + 1) + 3(n + 1) + ... (n - 1)(n + 1) = (n + 1)(1 + 2 + 3 + ... + n - 1) = (n + 1)(1 + n - 1)(n - 1)/2 = (n - 1)n(n + 1)/2We need to find the least n for which aₙ > 500:
(n - 1)n(n + 1)/2 > 500 ⇒ (n - 1)n(n + 1) > 1000If n = 10:
a₁₀ = 9*10*11 = 990 < 1000If n = 11:
a₁₁ = 10*11*12 = 1320 > 1000So the least n is 11
If I'm understanding the construction of this sequence correctly, we have
• a₁ = 0
(the sum is empty since there is no positive integer b such that b•1 + b = 1)
• a₂ = 3
(since 3 = 1•2 + 1)
• a₃ = 4 + 8 = 12
(since 4 = 1•3 + 1 and 8 = 2•3 + 2)
• a₄ = 5 + 10 + 15 = 30
(since 5 = 1•4 + 1, 10 = 2•4 + 2, and 15 = 3•4 + 3)
and so on.
Notice that for n ≥ 2, aₙ is simply the sum of the first n - 1 multiples of n + 1. So
[tex]\displaystyle a_n = \sum_{i = 1}^{n - 1} (n+1)i[/tex]
Recall that
[tex]\displaystyle \sum_{i=1}^n i = \frac{n(n+1)}2[/tex]
Then
[tex]\displaystyle a_n = (n+1) \sum_{i=1}^{n-1} i = (n+1) \cdot \frac{(n-1)n}2 = \frac{n(n^2-1)}2[/tex]
Solve for n such that aₙ > 500 :
n (n² - 1)/2 > 500
n (n² - 1) > 1000
n³ - n > 1000
We can solve this by inspection. Noticing that 10³ = 1000, if we replace n = 10 we get
10³ - 10 = 990 > 1000
which is false, but the difference is quite small. So we move up to n = 11 and find
11³ - 11 = 1320 > 1000
which is true, so n = 11 is the least number such that aₙ > 500.
What are two of the great feats of civil engineering accomplished by the engineers of Ancient China? A. The Pyramids and the Sphinx B. Aqueducts and the Colosseum C. The Great Wall and the Grand Canal D. The Taj Mahal and the Panama Canal
Answer:
C
Step-by-step explanation:
Pyramids and Sphinx are Egypt
Aqueducts and Colosseim and Rome
Taj Mahal and Panama Canal aren't even in the same location
China is well known for its Great Wall so its C
Solve the questions below:
2(3x + 5) - 3
6 / 2(1 + 2) **/ means to divide**
Answer:
2(3x+5)-3 = 6x+7
6/2(1+2) = 9
Step-by-step explanation:
Find the slope of the line passing through the points (9, -6) and (3, -2).
Answer:
[tex]\frac{-6-(-2)}{9-3} \\-\frac{2}{3} or -0.67[/tex]
Step-by-step explanation:
The formula for finding the slope of a line is [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}} \\[/tex]
Assign a number to each equation say (9, -6) is Equation 1 and (3, -2) is Equation 2.
Substitute the values into the equation.
Solve.
Have a nice day.
Simplify: (12 - 7) + (10 x 3) + (3 + 2)
a)7
b)11
c)35
d)45
Answer:
none
Step-by-step explanation:
not sure but the answer is 40 cause 12-7=5 10x3=30 and 3+2=5 and 5+30+5=40
Answer:
[tex](12 - 7) + (10 \times 3) + (3 + 2) \\ \\ = 5 + 30 + 5 \\ \\ = 40 \: is \: none[/tex]
# keep learning#
# Bora 7 #
# £
9 cu yd 17 cu in multiplied times 135
Answer:
20,655 I think
Step-by-step explanation:
9*17*145 = 20,655
Tonya is at least 14 years old. Which inequality best represents the statement? Let x = Tonya's age.A) x < 14B) x > 14C) x = 14D) x > 14
Answer: x > 14
Step-by-step explanation: At least means that the minimum is 14. This means x, her age would have to be greater than 14.
Question on Pic Thx! 20 PTS
What is the reciprocal of 4 and 4/7
Answer:
the reciprocal of 4 I'd 1/4 and 4/7 is 7/4
Answer:
[tex]\frac{7}{32}[/tex]
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex]
4 [tex]\frac{4}{7}[/tex] ( change to an improper fraction )
= [tex]\frac{32}{7}[/tex]
Then reciprocal is [tex]\frac{1}{\frac{32}{7} }[/tex] = [tex]\frac{7}{32}[/tex]
In 2009, Usain Bolt set the world record for sprinting 100m in approximately 9 3/5
Find his average speed in meters per second.
Answer:
For a 100m run record he has an average speed of 10.44 miles per second.
For a 200m run record he has an average speed of 10.42 miles per second.
You ride your bike x miles per hour up a mountain for 45 minutes. On the way down the mountain, you ride your bike 3 miles per hour faster. It takes 20 minutes to ride your bike down the mountain. How far did you ride your bike in total?
Answer:
18/5 miles
Step-by-step explanation:
let d be the mountain dist path
upward biking
x miles - 1 hr
d 45 mins
3x/4 = d
riding down
x+3 - 60 min
d. - 20
(1/3)(x+3) = d
(x+3)/3 = 3x/4
4x+12 = 9x
x = 12/5
d =( 12*3)/(4*5)= 9/5
upward+downward = 2*(9/5) = 18/5
HELPPP PLEASE YOU DONT NEED NO WORK SHOWN!!
Answer:
140.22
Step-by-step explanation:
A. 12
B. 15
C. 17
D. 19
Answer:
D.) 19 would be your answer!!
Hope this helps! :)
20(base three)-11(base three) . Carry out the operation in binary system
20₃ - 11₃ = 20₃ - 10₃ - 1₃
… = 10₃ - 1₃
… = 2₃
Put another way, we "borrow a 1" from the 3¹ digits place:
20₃ = 1(3)₃ - 11₃ = 2₃
But this is just the number 2 (in base 10), which in base 2 would be 10₂.
10 + 2+28+947+92785+9477-673+39-38648
Answer:
63,967
Step-by-step explanation:
Answer:
63,967
Step-by-step explanation:
did the math it took kinda long
How do you solve this problem?
Answer:
A=π [units²].
Step-by-step explanation:
for more details see the attachments (one is the required graph, another is calculation of the required area).
please help explanation if possible
whenever we run a perpendicular line to a base from a right-angle in a right-triangle, like in this case, we end up with 3 similar triangles, a Small one, a Medium and a containing Large one, therefore Check the picture below.
Please help with question 6
Answer:
y = -3x - 1
Use the methods on your other questions.
Solve with explanation pls Simplify the expression -2x - 4y + 10 + 2x - 2y - 6. Type your answer in without spaces
Answer:
-6y + 4Step-by-step Solution:
-2x - 4y + 10 + 2x - 2y - 6=> (-2x + 2x) + (-4y - 2y) + (10 - 6)=> (-6y) + (4)=> -6y + 4Hence, the simplified result is -6y + 4.
Please Help Will Give Brainliest
Answer:
The first two are parallel and the last one is not parallel
Step-by-step explanation:
TO find out whether LN is parallel to XY, we must check to see if the ratio from LX to XM is the same as the ratio from NY to YM
First one:
LX:XM is equal to 2:7
NY: YM is equal to 4:14
Since NY to YM is exactly double of LX to XM, the lines are parallel
Second one:
LX:XM is equal to 2:6
NY:YM is equal to 3:9
Since both of them have similar ratios,
or both can be divided by 1:3, the lines are parallel.
(2:6= 1:3 x 2) (3:9= 1:3 x 3)
Third one:
LX:XM is equal to 2:3
NY:YM is equal to 4:7
Neither of them have a similar ratio or a common factor, so the lines are not parallel
which graph is nonlinear?
Answer:
the first is is a nonlinear
Step-by-step explanation:
the first graph is nonlinear
Describe the Domain of the function f(x) = - 2.5x + 50
Answer: all real numbers
Step-by-step explanation:
you can plug in any number for x and get back a corresponding y value. So the domain is all real numbers.
find the missing term
5:13 = 3:
Answer:
Step-by-step explanation:
Let,5:13=3:x
Now we have,
5/13=3/x
5x=13×3
x=39/5
x=7.8
Step-by-step explanation:
5/13=3/x5 x =13 × 3 x =39/5 x =7.8
i hope is good answera farmer in China discovers a mammal hide that contains 25% of it's original amount of c-14
Answer:
Plato answer is 13863
Step-by-step explanation:
Plato answer is 13863
State if the triangles in each pair are similar. If so, state how you know they are
similar.
6=1/4z-1
z= solve the equation
Answer:
z = 28
Step-by-step explanation:
Let's try this first:
6 = something - 1
Something = 7
Next:
We know that "something" is 1/4z
1/4z = 7
Divide both sides by 1/4 to isolate z
z = 28
Hope this helps :)
Have an awesome day!!
Z=28
Explanation:-first, add one to each side to eliminate the negative one. you'll get:
first, add one to each side to eliminate the negative one. you'll get:7= z
first, add one to each side to eliminate the negative one. you'll get:7= znow, to get rid of the 1/4, multiply both sides by 4.
first, add one to each side to eliminate the negative one. you'll get:7= znow, to get rid of the 1/4, multiply both sides by 4.(7x4)=(1/4z)4
first, add one to each side to eliminate the negative one. you'll get:7= znow, to get rid of the 1/4, multiply both sides by 4.(7x4)=(1/4z)4simplify to get 28=z.
Hope It Will Help You!suppose that grade point averages of undergraduate students at one university have a bell shaped distribution with a mean of 2.61 and a standard deviation of 0.45.
Using the empirical rule, what percentage of the students have grade point averages that are at least 2.16? Please do not round your answer.
84% of the students have grade point averages that are at least 2.16
Empirical rule
Empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean, 99.7% are within three standard deviation from the mean.
68% = mean ± standard deviation = 2.61 ± 0.45 = (2.16, 3.06)
The percentage of the students have grade point averages that are at least 2.16 = 68% + (100% - 68%)/2 = 84%
84% of the students have grade point averages that are at least 2.16
Find out more on Empirical rule at: https://brainly.com/question/10093236
whats the slope between (-2, -19) and (-12, 11)
Step-by-step explanation:
hope this helps! good luck!
