Answer:
The first siding should be located at 30 miles
The time for the freight to arrive at the siding is 40 minutes
Step-by-step explanation:
From the given information:
Let [tex]T_f[/tex] represent the time for the freight train
Also, let [tex]T_P[/tex] represent the time at which the passenger train reach the location
Let Y represents the location where the location of the siding of the track needed to take place.
Thus, for freight time:
[tex]T_f = \dfrac{Y}{45} --- (1)[/tex]
The siding location is:
[tex]T_P = \dfrac{2}{6}+\dfrac{Y}{70}[/tex]
[tex]T_P =0.333+\dfrac{Y}{70} --- (2)[/tex]
To determine Y:
[tex]T_P -T_f = 0.1 --- (3)[/tex]
replacing the value of [tex]T_f[/tex] and [tex]T_P[/tex] in the above equation (3), we have:
[tex]0.333+\dfrac{Y}{70} - \dfrac{Y}{45} =0.1[/tex]
collecting like terms, we have:
[tex]\dfrac{Y}{70} - \dfrac{Y}{45} =0.1-0.333[/tex]
[tex]\dfrac{45Y- 70Y}{3150} =-0.233[/tex]
[tex]\dfrac{-25Y}{3150} =-0.233[/tex]
- 25Y = -0.233 × 3150
- 25Y = -733.95
Y = -733.95/-25
Y = 29.36 miles
Y [tex]\simeq[/tex] 30 miles to the nearest whole number
Thus, the first siding should be located at 30 miles
To estimate the time for the fight to arrive the siding, we replace 30 miles for [tex]T_f[/tex] in equation (1).
Then, we have:
[tex]T_f = \dfrac{Y}{45}[/tex]
[tex]T_f = \dfrac{30}{45}[/tex]
[tex]T_f =0.667\ hr[/tex]
[tex]T_f =(0.667 \times 60 )minutes[/tex]
[tex]T_f =40.2 \ minutes[/tex]
[tex]\mathsf{T_f \simeq 40 \ minutes}[/tex]
Thus, the time for the freight to arrive at the siding is 40 minutes
Mahalia is making cloth napkins. She bought fabric that is 12 inches wide and 6 yards long. How much napkins can Mahalia make if each napkin is 1 foot by 1 foot?
Mahalia can make a total of 18 napkins using the fabric which she has bought.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
Given that,
She has 12 inches wide and 6 yards long fabric.
Since 1 yards = 36 inches.
So,
6 yards = 6 × 36 = 216 inches.
Now,
The total surface area of napkins ⇒ 12 × 216
⇒ 2592 inch²
Area for 1 napkin = 1 foot × 1 foot
Since 1 foot = 12 inches
So,
Area for 1 napkin = 12 × 12 = 144 inch²
Number of napkins can be made = The total surface area of napkins / Area for 1 napkin
Number of napkins that can be made = 2592 inch² / 144 inch²
⇒ 18
Hence "Mahalia can make a total of 18 napkins using the fabric which she has bought".
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1-3. Find the center point, the radius and the diameter for the following equation: x² + y2 = 16
Answer:
Center: (0, 0)
Radius: 4
Step-by-step explanation:
Circle Standard Equation: (x - h)² + (y - k)² = r²
(h, k) is center
r is radius
We see that our h and our k are both 0.
∴ Our center is (0, 0), origin.
We see that our r² = 16
√r² = √16
∴ Our radius is equal to 4
What are the lyrics to
Part of Your World?
Linear function A and linear function B both have the same input values as shown below. Why will the output values for
linear function A always be different than the corresponding output values for linear function B?
Linear Function A
Linear Function B
х
1
3
5
7
9
y
3
7
11
15
19
х
1
3
5
7
9
у
4
8
12
16
20
O The initial values of the two functions are different, and the rates of change of the two functions are also different.
O The initial values of the two functions are differetly and the rates of change of the two functions are the same.
The initial values of the two functions are the same, and the rates of change of the two functions are different.
The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
Answer:
The initial values of the two functions are different and the rates of change of the two functions are the same
Step-by-step explanation:
In order for output values to always be different, the two linear functions must describe parallel lines. That means the rates of change are the same, but the initial values are different.
Answer:
probably too late but the answer is B
Step-by-step explanation:
I NEED HELP ASAP
A square and a rectangle are modeled below. The perimeter of both shapes is equivalent. Create
the equation and solve for x.
Answer:
let side of square= x
breadth of rectangle= side if square= x
length of rectangle= y
perimeter of both are equal, so
4x= 2(y+x)
4x= 2y+2x
2x=2y
x=y
You started this year with $440 saved and you continue to save $11 per month.
Write an equation to model this situation (use m for months and s for savings).
PUHU
Noriko's final mark for her Financial Mathematics course was based on four tests with different weightings. Test one
counted for 10% of the final grade, test two for 20%, test three for 30% and test four for 40%. If Clara received 70% o test
one, 85% on test two, 64% on test three and 72% on test four, calculate her final mark.
Answer:
80 percent because the study was 100 she missed the 20 percent which was mixed because you can't change the psrcent
Step-by-step explanation:
and so if you have 100 percent right take the 20 away its 8 0percent because the 40 per entvdivided it up
Suppose you deposit $134,000 into an account paying 8% simple annual interest, and that you won't touch the
account until it holds $1,000,000. How long must you wait?
Answer:
years. (Round your answer to the nearest year.)
Answer:
134,000x 0.08= 10,720= the money you get every year from interest
1,000,000/10,720= 93.28... or 93 years
Step-by-step explanation:
The circumference of a circle is 16Pi ft what is the radius
Answer:
Given circumference (C) = 16
Radius =
C =
2π
2.5464790894703
Diameter =
C =
π
5.0929581789407
Area =
C2 =
4π
20.371832715763
Step-by-step explanation:
We've all seen circles before. They have this perfectly round shape.
Every circle has a center, which is a point that lies exactly at the... well... center of the circle. A circle is a shape where the distance from the center to the edge of the circle is always the same. In order to calculate the radius, you need the circumferance or the diameter.
Answer:
Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter
Step-by-step explanation:
What is the area of the triangle?
20
16
12
units
Answer:
3840
Step-by-step explanation:
Hope this helps you out
Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)
Answer:
Step-by-step explanation:
(x₁ , y₁) = (-3.1 , -2.8) & (x₂ , y₂) = (-4.92 , - 3.3)
[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{-3.1-4.92}{2},\frac{-2.8-3.3}{2})\\\\\\=(\frac{-8.02}{2},\frac{-6.1}{2})\\\\\\=( -4.01 , -3.05)[/tex]
Round to the nearest cent.
$24.373
Answer:
$24.400
Step-by-step explanation:
it means you should round to hundredth place
$24.37
What is 6 divided by 131.4
Answer:
.0456621
Step-by-step explanation:
simpily divide the two and youll get .0456621
negative three times a number increased by 7 is less than-11
Answer: false.
Step-by-step explanation: the equation is as follows:
-3 + 7 = 7 - 3, which = 5
-3 times 5 = -15, making the statement false.
Answer:
6
Step-by-step explanation:
-3x+7<-11
-3x<-11-7
-3x<-18
X<-18/-3
X<6
Company A
$4 per table (seats 4) and a $25 one-time delivery and pickup fee
Company B
$2 per chair and a $15 one-time delivery and pickup fee
Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table.
X = number of tables
Cost to rent tables from Company A: f(x) = 4x + 25
Cost to rent chairs from Company B: g(x) = 2(4x) + 15
Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with
them?
0 12x
O 12x2 + 40
12x + 40
0 8x + 40
Ma
Answer:
C. 12x + 40
Step-by-step explanation:
Got 100% on edge.
Answer:
c
Step-by-step explanation:
did the quiz 2021
Which pound bag is the lowest price per pound of dog food?
They are all the same cost per pound.
30
8
22
State the domain and range in interval notation
Find the Slope using the Slope Formula 1. (8.6).(2-8)
Answer: 2.3 repeating
Please mark me as Brainliest
which expression is the simplest form of 5(x-3)-3(2x+4)/9?
Answer:
-x - 27/ 9 this is it djdjdj
The simplest form of the expression [tex]\frac{5(x-3)-3(2x+4)}{9}[/tex] is [tex]\frac{-x-27}{9}[/tex] .
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression
[tex]\frac{5(x-3)-3(2x+4)}{9}[/tex]
⇒ (5x - 15 - 6x - 12) ÷ 9
⇒ (-x - 27)/9
⇒ [tex]\frac{-x-27}{9}[/tex]
Hence "The simplest form of the expression [tex]\frac{5(x-3)-3(2x+4)}{9}[/tex] is [tex]\frac{-x-27}{9}[/tex] .
To learn more about expression,
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can you help me please!!!!
please!!!! :)
Answer:
Qn.1
{4,5,6,7,8,9,12,15,16}is ans of 1
{8,9}is ans of 2
{4,5,6,7,8,9,18,20}is ans of 3
{}Is the ans of 4
{8,9,12,15,16,18,20}is ans of 5
{}is ans of 6
{4,5,6,7,8,9,12,15,16,18,20} is ans of 7
{8,9,12,15,16} is ans of 8
Qn.2
{0,12}is ans of 9
{0,2,10,12}is ans of 10
{0,4,6,8,12}is ans of 11
{2,4,6,8,10}Is ans of 12
{}is ans of 13
{0,12}is ans 14
{0,12} is ans 15
{0,2,10,12} is ans of 16
{0,12} is ans of 17
{0,12} is ans of 18
{2,10} is ans of 19
{4,6,8} is ans of 20
I haven't made the symbol of union and intersection because i don't how to make.
it may help you at your work
The ratio of the sides of a triangle is 8:15:17. Its perimeter is 480 inches. Find the length of each side of the triangle.
Answer:
96 inch,180 inch,216 inch
Step-by-step explanation:
let the sides be 8x,15x,17x
then 8x+15x+17x=480
40x=480
4x=48
x=48/4=12
8x=8×12=96
15x=15×12=180
17x=17×12=216
How do you do this problem?
Answer:
Your answer is absolutely correct
Step-by-step explanation:
The work would be as follows:
[tex]\int _0^{\sqrt{\pi }}4x^3\cos \left(x^2\right)dx,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=> 4\cdot \int _0^{\sqrt{\pi }}x^3\cos \left(x^2\right)dx\\\\\mathrm{Apply\:u-substitution:}\:u=x^2\\=> 4\cdot \int _0^{\pi }\frac{u\cos \left(u\right)}{2}du\\\\\mathrm{Apply\:Integration\:By\:Parts:}\:u=u,\:v'=\cos \left(u\right)\\=> 4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\int \sin \left(u\right)du\right]^{\pi }_0\\\\[/tex]
[tex]\int \sin \left(u\right)du=-\cos \left(u\right)\\=> 4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\left(-\cos \left(u\right)\right)\right]^{\pi }_0\\\\\mathrm{Simplify\:}4\cdot \frac{1}{2}\left[u\sin \left(u\right)-\left(-\cos \left(u\right)\right)\right]^{\pi }_0:\quad 2\left[u\sin \left(u\right)+\cos \left(u\right)\right]^{\pi }_0\\\\\mathrm{Compute\:the\:boundaries}:\quad \left[u\sin \left(u\right)+\cos \left(u\right)\right]^{\pi }_0=-2\\=> 2(-2) = - 4[/tex]
Hence proved that your solution is accurate.
Answer:
[tex]\int\limits^{\sqrt{\pi}}_0 {4x^3\cos(x^2)} \, dx=-4[/tex]
Step-by-step explanation:
So we have the integral:
[tex]\int\limits^{\sqrt{\pi}}_0 {4x^3\cos(x^2)} \, dx[/tex]
As told, let's use u-substitution first and then use integration by parts.
For the u-substitution, we can let u to be equal to x². So:
[tex]u=x^2[/tex]
Differentiate:
[tex]du=2x\, dx[/tex]
We can rewrite our integral as:
[tex]\int\limits^{\sqrt{\pi}}_0 {2x(2x^2)\cos(x^2)} \, dx[/tex]
Therefore, by making our u-substitution, our integral is now:
[tex]\int\limits {2u\cos(u)} \, du[/tex]
We also need to change our bounds. Substitute them into u. So:
[tex]u=\sqrt{\pi}^2=\pi\\u=(0)^2=0[/tex]
Therefore, our integral with our new bounds is:
[tex]\int\limits^{\pi}_{0} {2u\cos(u)} \, du[/tex]
Now, let's use integration by parts. Integration by parts is given by:
[tex]\int\limits {v}\, dy=vy-\int y\, dv[/tex]
(I changed the standard u to y because we are already using u).
Let's let v be 2u and let's let dy be cos(u). Thus:
[tex]v=2u\\dv=2\,du[/tex]
And:
[tex]dy=\cos(u)\\y=\sin(u)[/tex]
So, do integration by parts:
[tex]=2u\sin(u)-\int \sin(u)2\,du[/tex]
Simplify:
[tex]=2u\sin(u)-2\int \sin(u)\,du[/tex]
Evaluate the integral:
[tex]=2u\sin(u)+2\cos(u)[/tex]
Now, use the bounds. So:
[tex](2(\pi)\sin(\pi)+2\cos(\pi))-(2(0)\sin(0)+2\cos(0))[/tex]
Evaluate:
[tex]=(2\pi(0)+2(-1))-(0(0)+2(1))[/tex]
Simplify:
[tex]=(-2)-(2)[/tex]
Subtract:
[tex]=-4[/tex]
And we're done!
(Number 4)help...plzz
HELP WILL GIVE BRAINLIEST!!Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance.
15 minus 0.06 x greater-than-or-equal-to 5
What is the maximum number of copies Aiden can make?
Answer:
166
Step-by-step explanation:
$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)
10.00 divided by 0.06= 166
I hope this helps! :)
(2x-3)^2=81
If x is a solution to the equation above and x > 0, what is the value of x?
X=
Answer:
putting roots on both sides,
[tex] \sqrt{(2x - 3)} {}^{2} = \sqrt{81} [/tex]
or, 2x-3 =9
or, 2x= 9+3
or, 2x = 12
Or, x = 12÷2
:. x=6
solve for x 4x+15=71
Answer:
x=14
Step-by-step explanation:
4x +15 =71
4x =71 - 15
4x =56
x=56 :4
x=14
4 ×14 +15 =71
56 +15 =71
71 =71
Answer: X=14
Step-by-step explanation: Plug 14 in for x. 4*14 equals 56. 56+15 equals 71. and 71=71.
What is the value of x ? Enter in simplest form. X - 3/7 = 4
Answer:
[tex]x = \frac{31}{7}[/tex]
Answer:
31/7
Step-by-step explanation:
Plus both sides by 3/7, and on the left it is 4 + 3/7. Transfer that into an improper fraction, and it's 31/7
Daniella is celebrating her birthday by inviting her friends to the movies. At the early show, she can buy tickets
for $5 each and she plans on spending $20 on snacks. If y is the total cost she will spend, write an equation that
matches this situation.
Answer:
y=5x+20
Step-by-step explanation:
What is the distance from the origin to point A graphed on the complex plane below?
Answer: B
Step-by-step explanation:
Answer:
option B, square root of 13
Step-by-step explanation:
i took the quiz on edge and got it right. :,)
A store sells 8-foot boards for $2.40 each. What is the cost per foot?
Answer:
8x≤2.40, x ≤ $0.30
Step-by-step explanation: