Answer:
16.32 N11.38°E km/h
Step-by-step explanation:
16.0∠0° +3.22∠90° ⇒ (x, y) = (3.22, 16.0) ⇒ (r, θ) =
(3.22, 16.0) ⇒ (r, θ) = (√(3.22² +16²), arctan(3.22/16)*) = (16.32, 11.38°)
The woman's velocity is 16.32 km/h in a direction that is 11.38° east of north.
_____
This is her velocity in any stationary frame of reference.
____
* We have used North as the reference for the angle, measured CW.
what is the value of n for the equation 1/3n=9
Answer: n = 27
Step-by-step explanation: n in (-oo:+oo)
(1/3)*n = 9 // - 9
(1/3)*n-9 = 0
1/3*n-9 = 0 // + 9
1/3*n = 9 // : 1/3
n = 9/1/3
n = 27
Do the graphs of all rational functions have at least one asymptote or hole? Explain why or why not
A. No, a function may have neither asymptotes nor holes.
B. Yes, the function will have both a vertical asymptote and hole for any values that cause the denominator to be equal to zero.
C. Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero
D. Yes, the function will have either a horizontal asymptote or hole for any values that cause the denominator to be equal to zero.
Answer:
C. Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero
Step-by-step explanation:
We want to see if all rational functions always have at least one asymptote or hole.
The answer is C:
" Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero"
A rational function is something like:
[tex]f(x) = \frac{q(x)}{p(x)}[/tex]
Where q(x) and p(x) are polynomials.
The asymptotes or holes happen when the denominator is equal to zero and the numerator don't.
Now, in the cases where the numerator and denominator become zero for the same value of x, it means that we can factorize the polynomials and remove the common factor. So there we do not have a hole nor asymptote.
Now, because the denominator becomes equal to zero, this means that we are dividing by a reallly small value, then the quotient will tend to infinity or negative infinity, this means that we will have a vertical asymptote.
Then the correct option is C:
Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero
If you want to learn more, you can read:
https://brainly.com/question/4084552
Q.3] Formula of (a - b)3 is
Sorry I just asked another question a few minutes ago
The photo cut off the word equation
Answer:
x=1
Multiply both sides by 10 (13)10-0.5(2x-6)*10+2x(10)=17*10Refine 130-5(2x-6)+20x=170Subtract 300 from both sidesSimplify -5(2x-6)+20x=40Expand 10x+30=40Subtract 30 from both sidesSimplify 10x=10Divide both sides by 10Simplify x=1:) Hope you enjoy this :)please help with this
Answer:
b.
Step-by-step explanation:
an independent variable is something that you can change or control
A toy box contains eight green balls and four purple balls. Suppose you choose a ball at random and then replace it by putting it back in the toy box. You then choose a second ball. What is the probability that you have selected a green ball and then a purple ball?
Answer:
okay now I know this for absolute sure the answer is 2 over 9 aka 2/9
Step-by-step explanation:
7 is a solution to the equation 3n + 9 = 33.
The sum of negative five plus three times a number equals twenty-eight.
The sum of three and a number times negative five gives twenty-eight.
The product of three times a number equals twenty-eight.
The product of negative three and a number plus five equals twenty-eight.
??????
Answer:
Step-by-step explanation:
1. 7 is not the solution of 3n+9 because if you do 7*3 and add 9 you will get 30.
2.
-5+3n=28
-5+5+3n= 28+5
3n=33
n= 11
3. 3n= 28
n= 28/3 or 9.333333
4. -3+n+5=28
n+2= 28
n+2-2= 28-2
n= 26
Answer:
it's d
Step-by-step explanation:
i got it right and the pic above :)
Find the distance between the two points in simplest radical form.
(0, –4) and (-3,-1)
Answer:
3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (- 3, - 1)
d = [tex]\sqrt{(-3-0)^2+(-1+4)^2}[/tex]
= [tex]\sqrt{(-3)^2+3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Hey there!
Given;
The points are;(0,-4) and (-3,-1).
Use formula for distance between the two points.
[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Put all values.
[tex]d = \sqrt{( { - 3 - 0)}^{2} + ( { - 1 + 4)}^{2} } [/tex]
Simplify to get answer.
[tex]d = \sqrt{9 + 9} [/tex]
[tex]d = \sqrt{18} [/tex]
[tex]d = 3 \sqrt{2} [/tex]
Therefore, the distance is 3√(2) units or 4.24 units.
Hope it helps...
Anique’s favorite store to shop at is Zara in Manhattan, New York. Her mother put $50 on her debit card to purchase a new dress for picture day. Anique spent $30 on a dress, $30 on shoes, $20 on a necklace/bracelet set, and $20 for her lunch.
Answer
Step-by-step explanation:
Given the equation 9x - 3y - 27 in standard form. Show how you would
convert the equation into slope-intercept form - y = mx + b. You must
show your work to receive full credit. (3 points)
A standard form equation is when it is set up
Ax + By = C.
6x + 2y = 4
A slope-intercept form equation is when it is set up y=mx+b.
Y = - 3x + 2
In order to go from one form to another, all you have to do is change the order of the given numbers. First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it. At this point your equation will be set up By = -Ax + C. Then you want to divide the B from the By and the rest of the equation. Therefore you will have y = - Ax/B + C/B. This is the same thing as the slope-intercept form, just a few of the letters are different.
Example 1:
Change from standard to slope form
8x + 4y = 16
8x + 4y = 16 first subtract 8x
4y = -8x + 16 then divide all by 4
y = -2x + 4 slope form
Example 2:
6x + 3y = 21
6x + 3y = 21 subtract 6x
3y = -6x + 21 then divide all by 3
y = -2x + 7 slope form
pls mark brainest
I will mark as. Brainliest asap plz!!!
Answer:
373376
Step-by-step explanation:
i think its that
Which statement correctly compares the function shown on this graph with
the function y= 4x+2?
1 2 3 4 5
O A The function shown on the graph has a greater rate of change and
a higher starting point
O B. The function shown on the graph has a smaller rate of change, but
a higher starting point
O C. The function shown on the graph has a smaller rate of change and
a lower starting point
O D. The function shown on the graph has a greater rate of change but
a lower starting point
PLEASE ANSWER
Answer:
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
Step-by-step explanation:
Rate of change = slope of a linear graph.
Given the linear function, [tex] y = 4x + 2 [/tex] , the rate of change here is represented by the slope of the line, which is 4.
Let's find the rate change of the function represented on the graph using slope formula:
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use coordinates of any two points on the line. Let's take,
[tex] (0, 4) = (x_1, y_1) [/tex]
[tex] (1, 7) = (x_2, y_2) [/tex]
Rate of change = [tex] \frac{7 - 4}{1 - 0} = \frac{3}{1} = 3 [/tex]
Rate of change of the linear function of the graph = 3.
Thus the function on the graph has a smaller rate of change, than the function, y = 4x + 2.
The starting value of a function is the y-intercept, that is, the value of y, when x = 0. It is the point at which the line intercepts the y-axis.
The starting value of the linear function, y = 4x + 2 is 2.
The starting value of the function on the graph is 4. At this point, x = 0.
Thus, the function on the graph has a higher starting point.
The statement that correctly compares the function shown on this graph with the function y= 4x+2 is:
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
Answer:
A
Step-by-step explanation:
Correct on A P E X
Tom makes $214.40 in 4 days. How much does he make in 2 days
Answer:107.2
Step-by-step explanation:
So u know how much he gets in 4 days so u subtract 4 days by 2 and u get 2 so then divide 214.40 by 2 and u get 107.2
if 3x-8= -2,find the value of x -6
Answer:
error
Step-by-step explanation:
you have a defined value by not having a Y so you basically can not put x=-6 because x actually equals 2!
The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel.
What is the slope of the line?
A. -2
B. -1/2
C. 7/16
D. 39/30
A = ( 15 , 15 )
B = ( 6 , 33 )
[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]
[tex]slope = \frac{33 - 15}{ 6 - 15} \\ [/tex]
[tex]slope = \frac{18}{ - 9} \\ [/tex]
[tex]slope = - 2[/tex]
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
A. -2
Step-by-step explanation:
took the test :))
find the slope of this graph
Answer:
-3
Step-by-step explanation:
Find the percent increase. Round to the nearest percent.
From 84 books to 162 books
Answer:
93%
Step-by-step explanation:
Answer:
1.45 x 5 is the answer but i want you to do some work for it and if its wrong im sorry but thats what i calculated it as
Step-by-step explanation:
A new amusement park ride that last one minute can have up to 1,200 Riders per hour. How many riders can ride per minute.
Pls help
Answer:
20
Step-by-step explanation:
1 hour = 60 minutes
1200 riders = 60 minutes: divide by sixty to set equal to 1
20 riders = 1 minute
Just divide 1,200 by 60 because there are 60 minutes in 1 hour.
Just think about it this way: If you eat 1 banana a minute, you eat 60 bananas an hour. The amusement park ride goes around once a minute. In one hour it goes around 60 times. Each time it carries the same amount of people.
1,200 divided by 60 is...
20!
The ride can carry 20 riders each ride, and each ride lasts a minute.
Please simplify!!
[tex]x+18\geq 50[/tex]
Answer:
x ≥ 32
Step-by-step explanation:
x + 18 ≥ 50
subtract 18 from both sides.
x ≥ 50 - 18
x ≥ 32
Camila is driving on a long road trip. She currently has 10 gallons of gas in her car. Each hour that she drives, her car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 3 hours? How much gas would be left after tt hours?
Answer:
gas left after 3 hours = 4.75
gas left after t hours = 10-1.75t
Step-by-step explanation:
According to DeltaMath "Since Camila uses 1.75 gallons of gas per hour, she would use 1.75 x 5, or 5.25 gallons in 3 hours. Since Camila started with 10 gallons in the tank, the amount of remaining after 3 hours would be 10-5.25 or 4.75 gallons. "
9.
&(3f + 12) +f
ASAP need help pls ⬆️
Answer:
4f+12
Step-by-step explanation:
Combine Like Terms:
=3f+12+f
=(3f+f)+(12)
=4f+12
Each driver is paid 8.65 per hour, if the field trip is going to lost 9.6 hours, how much will it cost to pay all of bus drivers?
Answer:
83.04
Step-by-step explanation:
First, you need to know how many drivers there are. But if the question doesn't tell you how many drivers then the answer would be 83.04 for one bus driver. If you forgot to add how many drivers then you can just multiply 83.04 to how many bus drivers then you get your answer.
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?
Answer:
7040
Step-by-step explanation:
first find how many are in 1 mile by doing 5280/3 to get 1760.
second multiply 1760x4 to get 7040
If 1 yard = 3 feet and 1 mile = 5,280 feet, then there are 7,040 yards in 4 miles.
To convert miles to yards, we can use the given conversion factors:
1 mile = 5,280 feet
1 yard = 3 feet
We need to find how many yards are there in 4 miles.
Convert 4 miles to feet using the conversion factor:
4 miles × 5,280 feet/mile
= 21,120 feet
Now, Convert the 21,120 feet to yards using the yard-to-feet conversion factor:
21,120 feet / 3 feet/yard
= 7,040 yards
Therefore, there are 7,040 yards in 4 miles.
To learn more on Conversion factor click:
https://brainly.com/question/32020768
#SPJ6
the question is in the picture. please help
Answer:
50th term would be 317
Step-by-step explanation:
The "shortcut" would be 17+6x since you have a starting value of 17 and you add 6 to each term.
solve -8(n+5)=-44-8n
Answer:
there are no solutions
Step-by-step explanation:
HERE ARE THE STEPS IN CASE U NEED EM :)
Step 1: Simplify both sides of the equation.
−8(n+5)=−44−8n
(−8)(n)+(−8)(5)=−44+−8n(Distribute)
−8n+−40=−44+−8n
−8n−40=−8n−44
Step 2: Add 8n to both sides.
−8n−40+8n=−8n−44+8n
−40=−44
Step 3: Add 40 to both sides.
−40+40=−44+40
0=−4
Pls help I need these by midnight
Maria is buying ping pong balls online. Website A charges $6 per box of ping pong
balls, plus an $8 service charge. Website B charges $5 per box, along with a shipping
and handling fee of $10. How many boxes does Maria need to buy for the cost of
both websites to be the same?
18 boxes
2 boxes
6 boxes
1 box
Answer:
2 boxes
Step-by-step explanation:
im sorry this is a bit late but this is for other people
which is a point 5 units to the left of 2
Answer:
1.5
Step-by-step explanation:
Select equivalent or not equivalent for each pair of expressions
Answer:
1: equivalent
2: equivalent
3: not equivalent
Step-by-step explanation:
for 1 & 2, you just switch the terms, but for 3, the 6z is not negative in the first expression, but it is in the second.
One cell phone company offers a plan that costs $26.99 and includes unlimited night and weekend minutes. Another company offers a plan that costs $18.99 and charges $0.35 per minute during nights and weekends. For what numbers of night and weekend minutes does the second company's plan cost more than the first company's plan? Starting at minutes, the second company's plan will cost more than the first company's plan.
Given :
One cell phone company offers a plan that costs $26.99 and includes unlimited night and weekend minutes.
Another company offers a plan that costs $18.99 and charges $0.35 per minute during nights and weekends.
To Find :
For what numbers of night and weekend minutes does the second company's plan cost more than the first company's plan.
Solution :
Let, after n number of nights and weekends second plan is most costly.
So,
[tex]18.99+0.35x > 26.99\\\\0.35x > 8\\\\x>22.85[/tex]
Therefore, after 22 night and weekends second plan is most costly.
Hence, this is the required solution.
2x^2+8−3=0 Complete the square
Answer:
- 5/4 or - 1 1/4
Step-by-step explanation:
Step 1:
2x² + 8 - 3 = 0 Equation
Step 2:
4x + 8 - 3 = 0 Exponents
Step 3:
4x + 5 = 0 Combine Like Terms
Step 4:
4x = - 5 Subtract 5 on both sides
Step 5:
x = - 5 ÷ 4 Divide
Answer:
x = - 5/4 or - 1 1/4
Hope This Helps :)
