Answer:
Step-by-step explanation:
The length of the road is 7 * 5280 = 36960 feet
The grade is 6% which means that for every 100 feet horizontally, the road rises 6 feet.
6/100 * 36960 = 221760/100 = 2217.6 is the rise.
Find the slope of the line through each pair of points. (5, −5) (0, −1)
Answer:
slope = - [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 5 ) and (x₂, y₂ ) = (0, - 1 )
m = [tex]\frac{-1-(-5)}{0-5}[/tex] = [tex]\frac{-1+5}{-5}[/tex] = [tex]\frac{4}{-5}[/tex] = - [tex]\frac{4}{5}[/tex]
How can you represent a proportinoal relationship with an equation
Answer:
Just be yourself
Step-by-step explanation:
Can i get some help :
dang this looks so confuseing
4 more to go-2 + (-2) × -2 + (-2) ÷ -2
Let's se
-2+(-2)(-2)+(-2)/(-2)-2+(-2)^2+1-1+21Done!
Daniel runs at a pace of 8 miles in 60 minutes. What is his pace per mile?
Answer:
60/8 = 7.5 mins per mile
Step-by-step explanation:
what is the 5th multiple of 6
Answer:
30
Step-by-step explanation:
What is 6, 5 five times?
Or 5x6?
There are 40 slices of pizza at the party that are shared equally between 8 people. Peter ate 3 slices of pizza before he came to the party. How many slices of pizza did Peter eat in all?
Answer:
that depends if it's taken in consideration the pizzas that he ate were from the 40 slices or not
Answer:
he ate 5 slices
Step-by-step explanation:
40/8=5 you would thinks you are timeing the answernth term of 5,8,13,20,29
Answer:
nth term = 4 + n^2
Step-by-step explanation:
Sorry if the answer is long but I'm hoping my explanation can help.
In order to understand the issue, we should try to find the pattern between the terms given.
The terms given were 5, 8, 13, 20 and 29.
Between the first term and second term, the difference is 3.
Between the second and third term, the difference is 5.
The pattern goes on and we find out that the difference between the (n-1)th term and the nth term is
2n - 1.
Hence, we can determine the pattern of the numbers is
nth term = (n-1) term + 2n - 1
We can use this to find term 0 (before term 1) by plugging in the values for term 1
5 = 0th term + 2 (1) - 1
5 = 0th term + 1
Hence the 0th term = 4
If we expand on the summation,
We can find the nth term
nth term = 4 + 2 (1) - 1 + 2(2) - 1 + ... + 2(n-1) - 1 + 2n - 1
As we can see, the number 1 has been subtracted n times (excluding the -1 in 2(n-1)). Hence, we can split combine all of the subtracted ones into -n.
We can rewrite it as
nth term = 4 + 2 (1) + 2(2) + ... + 2(n-1) + 2n - n
Now, we will move 4 and n to one side.
nth term = 4 - n + 2 (1) + 2(2) + ... + 2(n-1) + 2n
We can factorize 2 out from every term to the right of -n. This would give out
nth term = 4 - n + 2 (1 + 2 + ... + (n-1) + n)
The term (1 + 2 + ... + (n-1) + n) can actually be rewritten by using the triangular formula.
The triangular formula is stated such that
Tn = (n*(n+1))/2
This heavily simplifies the equation into
nth term = 4 - n + 2 [(n*(n+1))/2]
This equation becomes
nth term = 4 - n + n^2 + n.
Now, we can finally simplify into the final equation
nth term = 4 + n^2
how do you know how many points are needed to make a graph of a polynomial function from a table? are there a safe number of points to make the graph of any polynomial function? if so, what is that number? please help, explain well if possible
Step-by-step explanation:
You need a arbitrary points that will help you determine the sketch of the graph. I say use at most 5 points but you just need to know the following
The exterma: The maximum/minimum points on a certain interval.
The zeroes: What values willTheorem, Factoring, and more to help you find the zeroes.
Increasing and decreasing behavior between the consective zeroes: How the function behaves around consective zeroes. It must be above or below x axis between the zeroes.
And finally, the end behavoir: How the function behaves as x approaches infinity and negative infinity. Does the function increases or decreases.
That it. If you need an example, just ask me
Use the figure below to determine the relationship between _DBE and BED
In how many ways can you arrange six trophies on a shelf?
Answer:
720 ways
Step-by-step explanation:
Assuming order doesn't matter, there are [tex]6!=6*5*4*3*2*1=720[/tex] ways to arrange six trophies on a shelf.
24 feet/second to inches/minute
Answer:
4.8 inches a minute is probably the answer
Answer:
4.8 inches a minute
Step-by-step explanation:
Given below, if Xy and are congruent, what is the measure of
A. 140°
B. 280°
C. 100°
D. 80°
(it’s A. 140°)
Answer:
holi , cómo estás espero que bien bueno déjame te digo que está facil soy de México pero voy a clases de inglés y ya me la hicieron esa pregunta y es la D hojala te ayude mucho
3/4 of analisa's friends came to her birthday party. express this fraction as a percant and a decimal.
Answer:
0.75 And 75%
Step-by-step explanation:
If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4
Jake earns $9.85 per hour working at a software company. He wants to earn at least $300 a week. How many full hours must he work to earn the money?
Answer:
30.4 hours
Step-by-step explanation:
300 divided by 9.85
This gives you 30.4
How many solutions does this system have?
y=2/3x + 32x - 3y = -9
A. One Solution
B. Two Solutions
C. No Solutions
D. Infinitely Many Solutions
Answer:
No solutions since they are two variables and it supposed to be solved simultaneously
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer: A. they will have too much butter
Step-by-step explanation: to much
PLEASE HELP ME
7. (37:10) Kevin finds Buzz's life savings. If Buzz
had $47 and had been saving for 17 years, how
much could we expect him to save in 30 years?
Based on the information given, the amount that he'll be expected to save in 30 years will be $83.
From the question given, since Buzz had $47 and had been saving for 17 years, the amount saved per year will be:
= $47/17
= $2.7647
Therefore, the amount that'll be saved in 30 years will be:
= 30 × $2.7647
= $82.941
= $83
The amount saved will be $83.
Learn more about equations on:
https://brainly.com/question/13802812
3x-17=x+3 in form ax+b=c
Answer:
20/3 or 6.66
Step-by-step explanation:
3x-17=x+3 3x=20+x x=20/3+x 20/3 6.66---
Help me please tha is a practice but is I pass it will make me not fail math
Answer:
x = 21 The angles are 85°, 58°, 69°, and 148°
Step-by-step explanation:
The sum of the interior angles of a 4 sided figure formula :
Sum of the interiors = (n - 2) 180°
Sum of the interiors = (4 - 2) 180
Sum of the interiors = (2)180° = 360°
Now : 85° + (x + 37)° + 69° + (6x + 22)° = 360°
213 + 7x = 360
7x = 360 - 213
7x = 147
x = 21 the angles are 85°, (21 + 37)° = 58°; 69°; (6·21 +22)°= 148°
Answer:
The degrees inside the quadrilateral are 85, 148, 69, and 58.
Step-by-step explanation:
The interior of the quadrilateral equals 360 degrees.
All the degrees inside need to add up to 360. You need to find out what x is so you can do that.
First, add all the degrees you know, then solve for x.
85 + 69 = 154.
Now, add in the other angles.
154 + (6x + 22) + (x + 37)
Add like terms together.
154 + 22 + 37 = 213 degrees 6x + x = 7x.
7x + 213 needs to equal 360.
Subtract 213 from both sides to get 7x alone.
7x = 360 - 213
7x = 147
Now, you need to solve for x. You do this by dividing both sides by 7.
7x/7 = 147/7
x = 21
To find the degrees of the two unknown angles, substitute 21 back in where x is.
6(21) + 22 = 126 + 22 = 148
and 21 + 37 = 58
85 + 148 + 69 + 58 = 360 degrees.
solve similar triangles (advanced)
Answer:
Step-by-step explanation:
There are 2 similar triangles.
EDA and CBA
From that we can get the following proportion.
ED / CB = AD / AB
Filling in the letters we get
6/x = (4 + 3)/3 Combine
6/x = 7/3 Cross Multiply
7x =6*3
7x = 18 Divide by 7
x = 2.57
please help i need now
thank youu
Answer:
B
Step-by-step explanation:
if you cannot recognize the right equation, just start evaluating some points... try 5, 6, 4
At the end of the day, a bakery had 6/7 of a pie left over. Louie, Duey and Huey split the pie, with each taking home the same amount of leftover pie. How much pie did Louie take home?
Answer:
2/7 of the pie
Step-by-step explanation:
6/7 / 3 = 2/7
The graph of y = f(x) is the solid black graph below. Which function represents the
dotted graph?
Submit Answer
O y = f(x + 3) - 5
O y = f(x - 3) - 5
O y = f(x - 3) + 5
O y = f(x + 3) + 5
Answer:First option, y=f(x+3)+5
Step-by-step explanation:
analyse the transformation first
From the dotted function, when compared to the solid black line, is moved 3 units to the left, and moved upwards by 5 unitsInput transformation
In graphing, when a value is shifted horizontally, its transformation is equal to: -(x2-x1), and in this instance, we end up with a value of +3so, f(x+3) is the first componentWhen a function is shifted horizontally, it is proportiante to the distance it moves, so (y2-y1)in this instance, it is 0 - -5=5so the transformation vertically is +5Final answer, when all values are added is y=f(x+3)+5
46. An olympic athlete has just completed a four mile run. His average time was 6 minutes per mile. If he ran the first and last mile in 5 minutes, and the other 2 were the same time as each other, what was the average time for the 2 miles in the middle
Answer:
7 minutes
Step-by-step explanation:
average time = 6 minutes per mile
sum = average * count = 6 minutes / mile * 4 miles = 24 minutes
first + last mile = 5 + 5 = 10 minutes
first + second + third + last mile = sum = 24 minutes
second + third = sum - first - last = 24 - 5 - 5 = 24 - 10 = 14 minutes
average of 2 miles in the middle = sum / count = 14 minutes / 2 = 7 minutes
29. Martin has some dollar notes. 20% of the notes are $10 notes, 40% of
the remainder are $5 notes and the rest are $2 notes. He has a total
of $1026. How many notes does Martin have altogether?
Answer:
225 notesStep-by-step explanation:
Let the number of notes is x.
20% of notes is:
0.2x40% of the remainder is:
40% of 0.8x, so it is 0.8x*0.4 = 0.32xRemaining notes are:
x - 0.2x - 0.32x = 0.48xTotal of the notes:
0.2x*10 + 0.32x*5 + 0.48x*2 = 10262x + 1.6x + 0.96x = 10264.56x = 1026x = 1026/4.56x = 225heres a list of numbers 8,7,12,7,11,10,7,12Find median,mean,range and mode
Answer:
There it gose
Step-by-step explanation:
what's the answer? and how did you get it??
Answer:
97
Step-by-step explanation:
A straight horizonal line is 180 degrees, so you subtract 83 from 180 to get 97, which is the measure of angle JKL
Solve: 67 x 104. 67,000 6,700 670,000 6,700,000
Answer: 67 x 104 = 6968
Step-by-step explanation:
Answer:
7303
Step-by-step explanation:
I just calculated 67x109 and it gave me 7303
HOPE THAT HELPS YOU MARK ME BRINILYLIST
Please help it’s due in an hr
Which of these functions has a y-intercept that is
greater than that of the linear function
represented by the table of values below, and
why?
х
у
2
19
4
13
17
6
7
19
9
23
A. y = x + 9, because the y-intercept of the function
represented by the table of values is 2
B. y=x+9, because the y-intercept of the function
represented by the table of values is 5
C. y = 8x+1, because the y-intercept of the
function represented by the table of values is 2
D. y = 8x + 1, because the y-intercept of the
function represented by the table of values is 5
y = x+9 because the y-intercept of the function represented by the table is 5.
============================================================
Explanation:
Let's focus on the first two rows of the table. Plug those coordinates into the slope formula below.
m = (y2-y1)/(x2-x1)
m = (13-9)/(4-2)
m = 4/2
m = 2
The slope is 2.
Then we'll use something like (x,y) = (2,9) along with the slope we found to determine the y intercept b
y = mx+b
y = 2x+b
9 = 2*2+b
9 = 4+b
9-4 = b
5 = b
b = 5
The equation for the table is y = 2x+5
We can check this by seeing that x = 6 leads to y = 2*x+5 = 2*6+5 = 17. I'll let you check the other x values of the table.
Because y = 2x+5 has a y intercept of 5, we're going to aim for answer choice B. The y intercept of y = x+9 is 9 which is larger than what we just found.