[tex]r(1) = (2 \: .1 \: . \frac{2}{3} )[/tex]
[tex]r(0) = (0 \: .0 \: .0)[/tex]
[tex] \gamma r =( 2 \: .1 \: . \frac{2}{3} )[/tex]
[tex]l = \sqrt{2 {}^{2} + 1 {}^{2} + \frac{4}{9} } [/tex]
[tex]l = \sqrt{4 + 1 + \frac{4}{9} } [/tex]
[tex]l = \sqrt{ \frac{36 + 9 + 4}{9} } [/tex]
[tex]l = \sqrt{ \frac{49}{9} } = \frac{7}{9} [/tex]
(I'm not sure of my answer tho)
Normally I'd see a plus sign between the x,y and z values of the r(t) equation, so im assuming these represent the x,y,z coordinates in terms of t.
So i calculated ∆r(t) and found the length of the equation using the formula for length
This is your lucky day. You have just won a $20,000 prize. You are setting aside $8,000 for taxes and partying expenses, but you have decided to invest the other $12,000. Upon hearing this news, two different friends have offered you an opportunity to become a partner in two different entrepreneurial ventures, one planned by each friend. In both cases, this investment would involve expending some of your time next summer as well as putting up cash. Becoming a full partner in the first friend’s venture would require an investment of $10,000 and 400 hours, and your estimated profit (ignoring the value of your time) would be $9,000. The corresponding figures for the second friend’s venture are $8,000 and 500 hours, with an estimated profit to you of $9,000. However, both friends are flexible and would allow you to come in at any fraction of a full partnership you would like. If you choose a fraction of a full partnership, all the above figures given for a full partnership (money investment, time investment, and your profit) would be multiplied by this same fraction.
Because you were looking for an interesting summer job anyway (maximum of 600 hours), you have decided to participate in one or both friends’ ventures in whichever combination would maximize your total estimated profit. You now need to solve the problem of finding the best combination.
(a) Describe the analogy between this problem and the Wyndor Glass Co. problem discussed in Sec. 3.1. Then construct and fill in a table like Table 3.1 for this problem, identifying both the activities and the resources.
(b) Formulate a linear programming model for this problem.
(c) Use the graphical method to solve this model. What is your total estimated profit?
Answer:
3
Step-by-step explanation:
Convert the units of capacity.
5 gal = ____ qt
A.
25
B.
20
C.
15
D.
30
Answer:
20qt
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
4 quarts are in a gallon.
4 x 5 = 20
20 quarts in 5 gallons.
-hope it helps
Help please numbers 15-16
Answer:
for 15 the answer is 61 and
16 the answer is 82
Step-by-step explanation:
First you need to know that these are vertically opposite angles and that the vertical opposite angles are always the same.
therefore in qn 15.
- the 125 degrees angle is vertically opposite to the 64 + x angle therefore we make an equation
64 + x = 125 (then minus 64 on both sides)
(64 - 64)+ x = 125 - 64
x = 125 - 64
x = 61
the same goes for qn 16.
85 + x = 167 (then minus 85 in both sides)
85 - 85 + x = 167 - 85
x = 167 - 85
x = 82
PLEASE ANSWER PLS PLS PLS
Answer
12 minutes
Step-by-step explanation: -5400 meters divided by -450 meters per minute = 12 minutes
Find the volume of a cylinder with a radius of 4 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the
nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)
Answer:
603.19 with pi and 602.88 with 3.14
Step-by-step explanation:
V = pi times r^2 times h
9. Solve the equation. (1 point)
23 = 7x
Step-by-step explanation:
x=3.2 or if u round-up 3.3
Answer:
Today: Monday: 12 October 2020
Hour: 10.28 WIB (in Indonesian)
_________________________
23 = 7x
23/7 = x
x = 3.285
What is the domain of the function y-2vx-5?
O x2-5
O x22
Ox25
O x 10
Answer:
the domain of the function is y-2vx-5 is 0x25
The domain of the function x≥ 5.
What is Domain and Range?The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f(x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.
The domain takes all of the potential input values from the set of real numbers, while the range takes all of the function's output values.
We have the function y = √(x- 5)
The domain is the x values operate, often known as the horizontal axis.
The Range is y values on the vertical axis.
As, the radical never gives Negative Value.
So, x- 5 ≥ 0
and, x≥5
Thus, the domain is x≥ 5.
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Show BOTH distribution and FOIL to find the product of (3x - 2) and (2x + 6).
!!!Brainliest to the first one to help me!!!!
Answer:
8 X
Step-by-step explanation:
I just did it in e d g
» The planet Venus is on average
2.5 x 107 kilometers from Earth. The
planet Mars is on average 2.25 x 108
kilometers from Earth. What is the
average distance from Venus to Mars?
Answer:
4.443*10^9
Step-by-step explanation:
pls heart and give brainliest much appreciated
Witch algebraic egression means three more than a number squared?
Answer:
N^2+3
Step-by-step explanation:
Hope that helps!
You have saved $342 and want to go shopping for a few things. You buy a pair of shoes for $73, a pair of jeans for $38, and a watch for $64. How much money do you have left?
$167
$233
$371
$517
Answer:
167
Step-by-step explanation:
srry for nabbing question i need points :(
Answer:
You have $167 left.
Step-by-step explanation:
342 - 175 (prices of items added together) = 167
Negative 7.5 minus 4.5plus (-32.25 divided by3)
If the question is:
(-7.5) - 4.5 + ((-32.25) / 3)
Then the answer is:
−22.75
Answer:
If your question is -7.5-4.5+(-32.25÷3) your answer is -22.75. I hope this helps!
Barry is shopping for a new sweater that originally cost $50.00. The department store has all items marked down by 20%. He also has a coupon for an additional 10% off all purchases.
Barry
Since all items are marked down by 20%, and I have an additional 10% off, that means
I get a 30% discount.
The cost of the sweater is $50.00 – $15.00 = $35.00.
Describe Barry’s mistake. Then calculate how much Barry will pay for the sweater.
9514 1404 393
Answer:
mistake: the base for the additional discount is not the original price$36Step-by-step explanation:
The marked-down price is ...
$50 × (1 - 20%) = $50 × 0.80 = $40
Barry gets a 10% discount on that price, so his discount is ...
$40 × 0.10 = $4
Barry pays $40 -4 = $36.
__
Barry would be correct if the "additional 10% off" were based on the original price, but it isn't. It applies to the already-discounted price.
if f(x)=-x+8 and g(x)=x^2 what is (g°f)(6)
~Shoto Todoroki here~
Answer:
The answer is =−7
Step-by-step explanation:
This is a composition of functions
f(x)=x+8
g(x)=x2−6x−7
f(g(x))=f(x2−6x−7)=x2−6x−7+8=x2−6x+1
Therefore,
f(g(2))=22−6⋅2+1=4−12+1=
−7
hope this helps :D
what is pi to the 10th digit(decimal plce)
Answer:
5
Step-by-step explanation:
by memorization, pi will go on like this:3.14159265358979.. therefore, the 1oth deciimal is 5
Answer:
5
Step-by-step explanation:
the 10th decimal place is 5
Please help asap IF U DONT KNOW OR ARENT SURE dont answer please!
which of the following is an equation for x: ax^2+bx? select all that apply
a. x=a
b. x=b
c. x=0
d. x= -b/a
e. x= b/a
f. x= ab
please only right answers
Answer:
c and d
Step-by-step explanation:
Assuming that you mean
[tex]ax^2+bx=0\\\\x(ax+b)=0\\\\\rightarrow_1 x=0\\\\\rightarrow_2 ax+b=0\\\\ax=-b\\\\x=-\frac{b}{a}[/tex]
so the answers are
c and d
m angle3=5x and m angle4=75 .
Answer:
angle3 and angle4 are complementary.
A. true
B. false
Answer is B False
Step-by-step explanation:
Complementary angles are two angles whose measures add up to 90°
Figure WXYZ is rotated 90° clockwise around the
origin to form figure W'X'Y'Z'.
The coordinates of the figure W'X'Y'Z' are W' (5, 4), X' (4, 1), Y' (1, 6) and Z' (3, 8).
The coordinates of the quadrilateral WXYZ is W(-4, 5), X(-1, 4), Y(-6, 1) and Z(-8, 3).
We need to find the coordinates of the figure W'X'Y'Z', in which figure WXYZ is rotated 90° clockwise.
What is the rotation of the figure 90° clockwise?To rotate the figure 90° clockwise about a point, every point (x,y) will rotate to (y, -x). Let's understand the rotation of 90° clockwise about a point visually. So, each point has to be rotated and new coordinates have to be found.
Now,
W (-4, 5)→W' (5, 4)
X (-1, 4)→X' (4, 1)
Y (-6, 1)→Y' (1, 6)
Z (-8, 3)→Z' (3, 8)
Therefore, the coordinates of the figure W'X'Y'Z' are W' (5, 4), X' (4, 1), Y' (1, 6) and Z' (3, 8).
To learn more about the rotation visit:
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Robert Downey Jr.'s costume rental shop charges $8 a day to rent a costume. Chris Evans' costume rental shop charges $6 a day and a $160 fee to rent a costume. For how many days would it be the same cost to rent a costume from either shop?
need the equation with variables on both sides
Answer:
80 days
Step-by-step explanation:
Start off by making the two equations.
t = total cost
d = days
Robert Downey Jr.'s equation would be:
t = 8d
Chris Evans' equation would be:
t = 6d + 160
Now, set them equal to each other:
8d = 6d + 160
Then, solve for d:
8d = 6d + 160
Subtract 6d from both sides:
2d = 160
Divide both sides by 2:
d = 80 days
5(x - 3) + 2x = 27
Solve for x.
Answer:
The answer would be 6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
5(x-3)+2x=27
5x-15+2x=27
7x-15=27
7x=15+27
7x=42
x=6
!!!!I NEED HELP ASAP!!!!
-8= x+11
-------
-2
!!!!I NEED HELP ASAP!!!!
Answer:
3/2
Step-by-step explanation:
-8=x+11 when simplefied equals
x= -3
-3/-2
because both are negative they become positive 3/2
You can do it!
Question 4(Multiple Choice Worth 2 points)
Given the equation y - 4 = 3/4 (x+8)in point-slope form, identify the equation of the same line in standard form
A) -3/4x + y =10
B) 3x-4y =-40
C) y = 3/4x + 12
D) y= 3/4x +10
Answer:
C y = 3/4x + 12
Step-by-step explanation:
Evaluate 9 ÷ 3[(18 − 6) − 2²].
Answer:
The correct answer is 24
Answer:
24
Step-by-step explanation:
just cause lol -_- :)
what's 3.7 as a mixed number
Answer:3 7/10
Step-by-step explanation:
Answer 3 7/10 or three and seven tenths
Step-by-step explanation:
A circle has a radius of 12 cm. If the area is multiplied by 25, what happens to the radius?
Answer:
The radius is multiplied by 5.
Step-by-step explanation:
The radius of the circle is multiplied by 5 times the radius of the old circle
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the old circle be r₁
Now , the area of the old circle A₁ = π( r₁ )²
And , let the radius of the new circle be r₂
where area of new circle = 5 x area of old circle
And , A₂ = 25A₁ = π( r₂ )²
On simplifying , we get
25A₁ / A₁ = π( r₂ )² / π( r₁ )²
( r₂ )² = 25( r₁ )²
On further simplification , we get
Taking square roots on both sides of the equation , we get
r₂ = 5r₁
Therefore , the value of r₂ = 5r₁
Hence , the new radius is 5 times the old radius of circle
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A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick Let y represent the ice sheet's thickness (in meters) after x weeks. Complete the equation for the relationship between the thickness and number of weeks. y=
Given:
Initial ice sheet's thickness = 2 meter
After 3 weeks, the ice sheet's thickness = 1.25 meters
To find:
The equation for the relationship between the thickness and number of weeks.
Solution:
Let y represent the ice sheet's thickness (in meters) after x weeks.
Initial ice sheet's thickness = 2 meter
It means, the equation of relation must be satisfy by the point (0,2).
After 3 weeks, the ice sheet's thickness = 1.25 meters
It means, the equation of relation must be satisfy by the point (3,1.25).
If a linear function passes through two points, then the equation is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-2=\dfrac{1.25-2}{3-0}(x-0)[/tex]
[tex]y-2=\dfrac{-0.75}{3}x[/tex]
[tex]y-2=-0.25x[/tex]
Add 2 on both sides.
[tex]y=-0.25x+2[/tex]
Therefore, the required equation for the given relation is [tex]y=-0.25x+2[/tex].
How many sections are in a coordinate graph?
Answer:
4
Step-by-step explanation:
Answer:
4 sections!!
Step-by-step explanation:
3 hundreds + 12 tens + 8 ones =
Answer:
428
Step-by-step explanation:
300 + 120 + 8
= 428
HELP WHOEVER IS GOOD AT ALGEBRA
Create a polynomial function that
- 6th, 7th, 8th, OR 9th-degree polynomial.
- It has at least two x-intercepts with different multiplicities.
- It has imaginary zeros.
- It has a negative y-intercept.
pls help me in this..
Answer:
y = 11/4
Step-by-step explanation:
(1/4)⁻³ x (4)⁸ = (1/4)^-4y
4³ x 4⁸ = 4^4y
=> 11 = 4y
=> y = 11/4