Answer:
Width: 4
Length: 2
Step-by-step explanation:
A transportation engineer uses the formula, R = 1600/15+127e, to determine the minimum radius of curvature (R) in meters, for a roadway with a 40 km/hr design speed and a maximum superelevation rate (e). What is the maximum superelevation rate recommended if the radius of curvature is 350 meters? Answer as a decimal, rounded to two decimal places.
Answer:
The value is [tex] e = 1.92 [/tex]
Step-by-step explanation:
From the question we are told that
The formula for radius of curvature is [tex]R = \frac{1600}{15} +127e[/tex]
The design speed of the roadway is [tex]v = 40 \ km/hr[/tex]
The value of radius of curvature considered R = 350 m
From the equation given e is the superelevation rate
Now making the subject of the formula
[tex] e = \frac{R}{127} - \frac{1600}{1905} [/tex]
At R= 350
[tex] e = \frac{350 }{127} - \frac{1600}{1905} [/tex]
[tex] e = 1.92 [/tex]
Here, we are required to determine the maximum superelevation rate, e (rounded to 2 decimal places) recommended if the radius of curvature, R is 350 meters.
The answer is e = 1.92 (rounded to 2 decimal places).
First, from the information given, the minimum radius of curvature, R is related to the maximum superelevation rate, e by the formular;
R = (1600/15) + (127e)
Therefore, to evaluate the value of e for R = 350, we have;
350 - (1600/15) = 127e.
350 - (1600/15) = 127e.350 - 106.667 = 127e
Therefore, 243.333 = 127e.
Therefore, e = 1.9160meters
As a result, The maximum superelevation rate, e recommended if the radius of curvature, R is 350 meters is:
e = 1.92 (rounded to 2 decimal places).Read more:
https://brainly.com/question/21140562
How much tax would you pay on an item at 5% tax rate costing $75? (Round to the nearest cent)
Answer:
3.75
Step-by-step explanation:
Answer:
$3.75
Step-by-step explanation:
All you are going to do is multiply .05 or 5% by 75.
.05 * 75 = 3.75
(So now you are going to add 3.75 to $75 because the tax is 3.75)
75 + 3.75 = $78.75
(So you would pay $3.75 in tax)
Hope this helped!!
PLEASE HELP RUNNING OUT OF TIME .!!! A boat designer plans to construct a triangular sail with base 90 centimeters and altitude 4 meters. The designer uses square centimeters to describe the amount of material needed for the sa
Which statement BEST describes the appropriateness of the unit the designer chose?
A
While the units are correct, a larger unit should be chosen
B
The units are incorrect because the units that should be used for the base is centimeters,
С
The units are correct and of a well-chosen size
D
The units are incorrect because the units that should be used for the altitude is meters.
Answer:
b
Step-by-step explanation:
How do you do this question?
Answer:
Limit = 2
Step-by-step explanation:
[tex]\sum _{n=1}^{\infty }\frac{2^n}{3^n}\\= \sum _{n=1}^{\infty \:}\left(\frac{2}{3}\right)^n\\\\= \sum _{n=0}^{\infty \:}\left(\frac{2}{3}\right)^n-\left(\frac{2}{3}\right)^0[/tex]
[tex]\sum _{n=0}^{\infty \:}\left(\frac{2}{3}\right)^n=3,\\\\= 3-\left(\frac{2}{3}\right)^0\\= 2[/tex]
In this case it does converge, as 2/3 is between 1 and 0
Answer:
0
Step-by-step explanation:
2ⁿ / 3ⁿ = (⅔)ⁿ
⅔ is less than 1, so as n approaches infinity, the sequence approaches 0.
help please asap
jahahhahahahahaha
Answer:
No
Step-by-step explanation: Try the vertical line test. If the line goes directly through the angle or shape, it's not a function. Let me know if you want an example.
I've attached an image. This rule applies to every angle.
This Question !!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=800
Step-by-step explanation:
2000=all sides
two sides are 200 &200 =400
the other two are 2000-400=1600
1600/2=800 each
In the following diagram \overline{DE} \parallel \overline{FG}
DE
∥
FG
start overline, D, E, end overline, \parallel, start overline, F, G, end overline and \overline{KL} \perp \overline{FG}
KL
⊥
FG
start overline, K, L, end overline, \perp, start overline, F, G, end overline.
What is the measure of \greenD{\angle x}∠xstart color #1fab54, angle, x, end color #1fab54?
Angles are not necessarily drawn to scale.Given the following:
Answer:
<x = 31°
Step-by-step explanation:
m<BCA = m<GCJ (vertical angles)
m<BCA = 59° (substitution)
Since line KL is perpendicular to line FG, the angle formed at point B is 90°.
Therefore, m<ABC = 90°
m<BAC + m<ABC + m<BCA = 180° (sum of triangle)
m<BAC + 90° + 59° = 180° (Substitution)
m<BAC + 149° = 180°
m<BAC = 180° - 149°
m<BAC = 31°
<x = <BAC (vertical angles)
m<x = 31° (substitution)
Answer:
its 32.
Step-by-step explanation:
I i kept doing clues on khan academy and it asked me
Use the formula for the area of a rectangle A=LW to answer the question. A rectangle has a length of n units. Its width is 8 units more than its length. What is the area of the rectangle?
A. 2n +8
B. N(n+8)
C. N(n-8)
D. 2+8n
Please help and explain I dont get it
Answer:
d is ur answer maybe ok ok ok
Answer:
B. N(n+8)
Step-by-step explanation:
A rectangle's area is Length x Width
The rectange's length is not known to us. N is it's variable
It says the width is 8 units mor then the length and ask for the are of the rectangle.
Now since rectangle's area is length times width we multiply n (the length) with the width (8+n).
This would be N(n+8)
PLEASE HELP!!! CONVERT TO STANDARD FORM (y=ax^2+bx+c
f(x)=2(x-3)^2+7
Answer:
y = 2x^2 - 12x + 25Step-by-step explanation:
Given function
f(x)=2(x-3)^2+7Converting to standard form
y = 2(x - 3)^2 + 7y = 2(x^2 - 6x + 9) + 7y = 2x^2 - 12x + 18 + 7y = 2x^2 - 12x + 25
Y’all please help me
6.53 x 10^7 is more than, the same as, less than 65300000?
Answer:
same as
Step-by-step explanation:
Answer:
Same as
Step-by-step explanation:
Jordan borrowed some money from his friend in order to help buy a new video game system and agreed to pay the friend back a constant amount each week. Jordan originally borrowed $120 from his friend and after 2 weeks, he still owed his friend $90. Write an equation for L,L, in terms of t,t, representing the amount Jordan owes his friend after tt weeks.
please help me i tive stars
PLEASEEEE HELPPPP!!!!!!!
h(x) = 2 - 11
W
ha
- = -5
Answer:
x= 6
Step-by-step explanation:
h ( x ) = x - 11
h ( 6 ) = 6- 11
h = -5
Write an equation for each line in slope-intercept form.
Answer:
y = x + 7
Step-by-step explanation:
The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
Looking at the graph, we can see that the line intersects the y-axis at y = 7. So 7 would be our y-intercept.
To find the slope, we would divide the rise of the line by the run. Or m = rise/run. From looking at the graph, we can see that for every 1 unit the line moves in the x-direction, the line moves in the y-direction by 1 unit. Therefore, the rise would be 1 and the run would be 1. 1/1 = 1 so the slope of the line would be 1.
Plugging in 7 for b and 1 for m into the equation for the slope-intercept form, we get:
y = x + 7
So that would be the equation for the line in slope-intercept form.
I hope you find my answer and explanation to be helpful. Happy studying.
Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael’s account balance following these withdrawals?
A.
-$519.25
B.
-$369
C.
$369
D.
$519.25
I believe it to be $369
Annie bakes cookies and cupcakes in a ratio of 2 to 7 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake ?
Let's say cookies are 2x. If there are 2x cookies then there are 7x cupcakes. Now, 2x cookies + 7x cupcakes = 36 desserts.
9x = 36
So, x = 4
Now, remember that cookies = 2x. 2x = 2 times 4 = 8.
She will bake 8 cookies.
solve for d -38d-57-19d+76
Answer:
You cannot solve for d.
But, simplified it is 19d+19
Step-by-step explanation:
38d-57-19d+76
(38d-19d)+(-57+76)
19d+19
hope this helps :)
Answer:
d ≤ -7
Step-by-step explanation:
the first person is so wrong
26. Nicholas plans to spend more than 32 hours painting this week. He paints for
the same number of hours every weekday (Monday through Friday) and an
additional 7 hours on the weekend. Which number line shows the possible
number of hours that Nicholas paints every weekday?
&
O
&
O
&
O
&
O
Answer:
Answer is D
Step-by-step explanation:
Sohie’s mom cans jelly. She fills each jar with 1/2 a pint of jelly. If she made 1 7/10 pints of jelly, which expression can be used to find how many jars Sophie’s mom can fill?
Answer:
Number of jar Sohie's mom can make can be found out by dividing the total amount by the amount in one jar, so we can frame a equation like this,
Let the number of total jar be x,
x = (1 7/10) / 1/2
That is the answer, let us solve this equation,
x = 1 7/10 / 1/2
=> x = 17/10 * 2/1
=> x = 17/5 * 1/1
=> x = 17/5
17/5 = 3.40
Therefore, she can pack 3.4 jars of jelly.
If my answer helped, please mark me as the brainliest!!
Thank You!!
Answer:
if im correct i think the awnser is that she can pack 3.4 jars of jelly.
Step-by-step explanation: Please tell me if im correct or not
Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate. How much did Diego pay for the 12 books? Explain your reasoning.
The amount of money Diego paid is required.
The amount of money Diego paid was 52 dollars.
The cost of 3 books is 13 dollars
[tex]3\ \text{books}=13\ \text{dollars}[/tex]
[tex]1\ \text{book}=\dfrac{13}{3}\ \text{dollars}[/tex]
Diego bought 12 books
[tex]12\ \text{books}=12\times \dfrac{13}{3}=52\ \text{dollars}[/tex]
The amount of money Diego paid was 52 dollars.
Learn more:
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8. |13|- |-71 =
a. 6
b. - 6
c. 20
d. - 20
Answer: A
Step-by-step explanation:
The |13| means absolute value. Absolute value tells you that the value inside is always positive. Even if you have a negative number in the absolute value bars, it automatically becomes positive.
|13|-|-7| [rewrite without absolute value]
13-7 [subtract]
6
Now, we know that the answer is 6.
Answer:
i think 6
beacase 13-71 is 6
4.4 = –13.6 + 3t how would i solve this step by step
Answer:
t = 6
Step-by-step explanation:
First, add 13.6 (inverse operation)
18 = 3t (divide by 3)
6 = t
sub in to check
Answer:
t=6
Step-by-step explanation:
4.4=-13.6+3t [add -13.6 to both sides]
18=3t [divide 3 from 18]
t=6
Hideyko has 3/5 yards of ribbon to tie on balloons for the festival. Each balloon will need 3/10 yard of ribbon. How many balloons can Hideko Tie with ribbon?
Answer:
The answer would be 2
Step-by-step explanation:
Please mark me brainiest B) :) ;) B]
How much less than -2 is -6?
Answer is :
-4
Step-by-step explanation:
because -2-4=-6
Use the given x and y values to write a direct variation equation
x=5, y=30
Answer:
The direct variation equation is y = 6x
Step-by-step explanation:
The direct variation equation is y = kx, where
k is the constant of variationTo find the value of k, use the initial values of x and y
∵ y = 5, y = 30
∵ y = k x
→ Substitute the values of x and y to find k
∵ x = 5 and y = 30
∴ 30 = k (5)
∴ 30 = 5k
→ Divide both sides by 5
∴ [tex]\frac{30}{5}=\frac{5k}{5}[/tex]
∴ 6 = k
→ Substitute it in the form of the equation
∴ y = 6x
The direct variation equation is y = 6x
Help
A photo 5 inches wide and 8 inches long is enlarged.
How wide is the new photo if it is (1)12 inches; (2)20 inches; (3)10 inches long?
Step-by-step explanation:
if the new photo is 12 inches long than the photo is enlarged
12/8=3/2
so the new photo is (3/2)*5 =15/2=7.5 inches wide.
Now,about the new photo 20 inches long it means that is enlarged 20/8=5/2 inches
so the new photo is wide 5*(5/2)=25/2=12,5 inches.
The photo 10 inches long is enlarged 10/8=5/4 inches.So the new photo is 5*(5/4)=25/4=6,25 inches wide.
I NEED THIS ANSWER NOW PLS I'LL GIVE YOU 30 POINTS IF YOU ANSWER IN THE NEXT COUPLE OF SECONDS
What is the sign of the product (3)(−25)(7)(−24)?
Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive
Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive
Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative
Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative
Answer:
A. Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive
7 to the power of -3
Answer:
one over 343 hope this helps
Step-by-step explanation:
To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical
mass is dropped onto the mat from a height of 1 m above the mat. During the impact,
the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to
only 4 cm thick.
a. How much kinetic energy does the cylinder have at the instant just before it
contacts the mat?
b. How much work does the mat do to stop the fall of the cylinder?
c. What average vertical force does the mat exert on the cylinder during the impact,
from contact until the cylinder’s vertical velocity is zero?
Answer:
A)196J
B)-208J
C)3467J
Step-by-step explanation:
We are given that a 20 kg cylindrical mass is dropped onto the mat from a height of 1 m above the mat. During the impact, the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to only 4 cm thick.
So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m
a)
Using Conservations of energy
Potential energy at the top = Kinetic energy at the point before touching the surface
Kinetic energy = mgh= [tex]20 \times 9.8 \times 1 = 196 J[/tex]
b)
Work done by the mat do to stop the fall of the cylinder =[tex]-mg(h+0.06)=-20 \times 9.8(1+0.06)=-208 J[/tex]
C)
Work done=[tex]\text{Average force} \times \text{ Compression of mat}[/tex]
[tex]208=F \times 0.06[/tex]
F=3467J
