Answer:
To find an inverse, you need to replace f(x) with y. Then switch the x and y's in your equation and solve for y. This will find f^-1(x).
Step-by-step explanation:
A taxi is travelling in a circlar path of radius 700 m at the rate of 11 km per hour . Find the angle through which it turns in one minute in grade.
Answer:
Approximately [tex]\text{$0.26$ radian}[/tex] every minute.
Step-by-step explanation:
Convert the unit of velocity (kilometers-per-hour) to meters-per-minute so as to match the unit of radius (meters) and angular velocity (per-minute.)
[tex]\begin{aligned}v &= 11\; \rm km \cdot h^{-1} \\ &= 11 \times \frac{1000\; \rm m}{1\; \rm km} \times \frac{1\; \rm h}{60\; \text{minute}} \\ &\approx 183.33\; {\rm m} \cdot\text{minute}^{-1}\end{aligned}[/tex].
Calculate the circumference of this circle:
[tex]\begin{aligned}c &= 2\,\pi\, r \\ &= 2 \, \pi \times 700\; \rm m \\ &\approx 4398.2\; \rm m\end{aligned}[/tex].
Find the time required (in minutes) for this vehicle to go around this circle:
[tex]\begin{aligned}\frac{4398.2\; \rm m}{183.33\; {\rm m} \cdot \text{minute}^{-1}} \approx 23.990\; \text{minute}\end{aligned}[/tex].
A full circle corresponds to an angle of [tex]2\, \pi \; \text{radian}[/tex] ([tex]360^{\circ}[/tex].) In other words, this vehicle would have turned [tex]2\, \pi \; \text{radian}\![/tex] in approximately [tex]23.990\; \text{minute}[/tex] if it travels at a constant speed. The rate at which this vehicle turn would be:
[tex]\begin{aligned}\frac{2\, \pi}{23.990\; \text{minute}} \approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].
In general, for angular velocity [tex]\omega[/tex], radius [tex]r[/tex], and velocity [tex]v[/tex], [tex]v = \omega\, r[/tex]. After updating the units, the angular velocity of this vehicle (the rate at which it turns) may also be found as:
[tex]\begin{aligned}\omega &= \frac{v}{r} \\ &\approx \frac{183.33\; \rm m \cdot \text{minute}^{-1}}{700\; \rm m} \\ &\approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].
Write an explicit formula for an, the nth term of the sequence 35,42,49
Hi!
We can see the numbers are increasing by 7, therefore your equation would be:
n = p + 7
"p" represents the previous number, and "n" represents the number you're trying to find.
Hope this helps! :D
Help me please Asap!
Answer:
1/10
Step-by-step explanation:
The permutation only occurs once during the 10 trials hence 1/10
did I click the right one ?
Answer:
no its b
Step-by-step explanation:
Answer:
yup
Step-by-step explanation:
Add and simplify:
3 + 1
10 5
Answer:
I don't under stand the question can u write more clearly
In a computer tape library there are two racks with 50 tapes per rack. On Monday there are 35 tapes in use, on Tuesday 60, and on Wednesday 25. What fraction on the average is in use for the 3 days
Based on the number of tapes used on those days and the number of tapes in the rack, the fraction on the average used was 2/5
The average tapes used in those 3 days was:
= (35 + 60 + 25) / 3
= 120 / 3
= 40 tapes
The total number of tapes that can be used are:
= 50 + 50 per rack
= 100 tapes
The fraction of the average is:
= 40 / 100
In the lowest term this is:
= 2 / 5
In conclusion, the fraction is 2/5
Find out more about fractions at https://brainly.com/question/233783.
Okie help help math math math math
Answer: 33
Step-by-step explanation: In the problem, you are given the figure with the following:
2x+3 and 3x+12
Method: Lets set this into an equation. Remember that straight lines add up to 180°.
2x+3+3x+12=180° Combine like terms.
5x+15=180°
5x=165°
x=33°
You can always plug in 33° in the expression that was set to make sure it does give you 180°.
Hope this helps.
Answer:
33
Step-by-step explanation:
8 to the 2 power-28/4+2?
Answer:
59
Step-by-step explanation:
hope it helps brainliest pls
Find the product of ( - 6 + 3i) and its conjugate.
product =
Submit Question
Answer:
45Step-by-step explanation:
The conjugate of the given is:
( - 6 - 3i)Find their product:
(- 6 + 3i)( - 6 - 3i) = (-6)² - (3i)² = 36 - 9i² = 36 - 9(- 1) = 36 + 9 = 45Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 24 miles, how much will her mother donate?
Answer:
4 dollars and 80 cents
Step-by-step explanation:
24 times 20 is 480 but its money so u would say $4.80.
How many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 inches and height 1 1/2inches?
Step-by-step explanation:
we need to see how many cubes fit into every dimension.
we can fit 4 cubes along the 1 in width. as 4×1/4 = 1 in.
we can fit 15 cubes along the 3 3/4 in length :
3 3/4 = 12/4 + 3/4 = 15/4
15/4 / 1/4 = 15/4 × 4/1 = 4×15 / 4×1 = 15
we can put 6 cubes on top of each other fit the height of 1 1/2 in
1 1/2 = 2/2 + 1/2 = 3/2 = 6/4
6/4 / 1/4 = ... = 6 (as above - simply 1/4 fits 6 times into 6/4).
so, we have
4 × 15 × 6 = 360
we need 360 cubes to fill the box.
Sin2A+Sin2B÷Sin2A-Sin2B=Tan(A+B)÷Tan(A-B) Prove that
Take L.H.S sin2A+sin2B/sin2A-sin2B
= sin2A+sin2B/sin2A-sin2B
Put
[sinC+sinD = 2sin(C+D)/2cos(C-D)/2]
[sinC-sinD = 2cos(C+D)/2.sin(C-D)/2]
= 2 sin(2A+2B)/2 cos(2A-2B)/2 / 2 cos(2A+2B) sin(2A-2B)
= sin(A+B).cos(A-B)/cos(A+B).sin(A-B)
= sin(A+B)/cos(A+B) . cos(A-B)/sin(A-B)
= tan(A+B).cot(A-B)
= tan(A+B).1/tan(A-B)
= tan(A+B)/tan(A-B)
∴ Hence we proved sin2A+sin2B/sin2A-sin2B=tan(A+B)/tan(A-B)
Help plz no links will mark best answer
Answer:
20
Step-by-step explanation:
you know the ratio is 4:3 so you do 4+3=7 then you do 140÷7=20 so I bar represents 20
6 miles is approximately equal to 9 km. How many km are equal to 54
miles? How many miles are equal to 12 km?
Answer:
54mile equal to 81km
8mile equal to 12km
Perimeter of piecewise rectangular figure. Please help.
Check the picture below.
so the perimeter is 6+16+14+7+8+9 = 60.
3 bags of dog food cost $6.75 How much would they spend on 2 bags of dog food?
Answer:
$4.50 for 2 bags of dog food
Step-by-step explanation:
To find the cost of 2 bags of dog food, we first need to divide $6.75, the cost of 3 bags, by 3, to find the cost of one.
$6.75 / 3 = $2.25
Now that we know the cost of one bag, we can multiply the cost by two to find the cost of 2 bags.
$2.25 * 2 = $4.50
$4.50 for 2 bags of dog food
(1-w-w²)⁶=64 prove thta
1−w−w2=64
Step 1: Simplify both sides of the equation.
−w2−w+1=64
Step 2: Subtract 64 from both sides.
−w2−w+1−64=64−64
−w2−w−63=0
For this equation: a=-1, b=-1, c=-63
−1w2+−1w+−63=0
Step 3: Use quadratic formula with a=-1, b=-1, c=-63.
w= −b±√b2−4ac /2a
w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)
w= 1±√−251/ −2
explain how you your answer
Answer:
1.43 = x
Step-by-step explanation:
Math in the picture attached. Hope it helps!
Solve for X : 3/8 = 27/x
Answer:
x = 72
Step-by-step explanation:
3/8=27/x
cross multiply
3*x=3x 27*8=216
divide
216/3=x
x=72
Given f (x) = x² + 4x + 5, what is
Answer:
8+h
Step-by-step explanation:
Simply substitute x = 2+h and x = 2 in.
[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{(2+h)^{2} +4(2+h)+5-[(2)^2+4(2)+5]}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{4+4h+h^2 +8+4h+5-17}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{h^2 +8h}{h}=h+8}[/tex]
Therefore, the answer is h+8 or 8+h.
Another way is to differentiate the function with respect to x. This equation or expression is rate of changes from 2 to 2+h with h being any numbers.
The definition of derivative is:
[tex]\displaystyle \large{f\prime(x)= \lim_{h \to 0}\frac{f(x+h)-f(x)}{h}}[/tex]
Notice how both f(2+h)-f(2) over h and the definition of derivative look same except the derivative has limit of h approaching to 0, making h not having any values by default.
Since f(2+h)-f(2) over h does not have limit, we have to add +h when differentiating the function.
[tex]\displaystyle \large{f\prime(x)=2x+4}\\\displaystyle \large{f\prime(2)=2(2)+4}\\\displaystyle \large{f\prime(2)=8}[/tex]
Since f’(2) is 8 but because f(2+h)-f(2)/h does not have limit of h, therefore we add +h.
[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=8+h}}[/tex]
2 1/12 divided 2 5/8 fractions
Answer: 50/63 or 0.793650
Step-by-step explanation:
165 of the city library members are children if there are 750 total members
Answer:
Step-by-step explanation:
Not sure what you require but (165/750) * 100
= 0.22 * 100
= 22% are children
If (k+1), 3k, (4k+2) are three consecutive terms of an AP then k = ?
The three consecutive terms in an AP are (k+1) ,3k and (4k+2)
We know that
If a,b,c are the three consecutive terms in an AP then b = (a+c)/2
now ,
Let a = k+1 , b = 3k and c = 4k+2
⇛3k = (k+1+4k+2)/2
⇛3k = (5k+3)/2
⇛2×3k = 5k+3
⇛6k = 5k+3
⇛ 6k-5k = 3
⇛ k = 3
The value of k = 3
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1
If f(x) = -3x-2, find f(-7)
Answer:
19
Step-by-step explanation:
f(x)= -3x-2
f(-7)= -3(-7)-2
= 21 - 2
= 19
hope this helps! :D
22. PLEASE HELP PLEASSSSSSEEEEEEEE
Answer:
me too i need help its in my HW and exam
Step-by-step explanation:
heleppppppppppppp
plssssssssssssssss
Answer:
21
Step-by-step explanation:
Answer:
(3,3)
Step-by-step explanation:
Point B is the only point that inside the rectangle alone. Point A is not found in any shape and points C and D are inside the oval. coordinates are labeled (x,y). The coordinates of point B are (3,3)
I understand if this a little difficult to understand and i sincerely apologize for that..
In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life. Using the vase for a scale factor, how tall was the table? PLEASE ACTUALLY ANSWER AND DON'T JUST PUT I DON'T KNOW OKAY?
Answer:
5.67
Step-by-step explanation:
The scale factor of the height of the image is 7.89.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. The scale factor is the ratio of the actual size to the scaled size of the object.
Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Given that In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life.
The scale factor will be calculated as,
Scale factor = ( 30 / 3.8)
Scale factor = 7.89
To know more about scale factors follow
https://brainly.com/question/25722260
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The inequality is -2x > 30. What is the solution of the inequality?
Answer:
x < -15
Step-by-step explanation:
Divide both sides by -2.
Next you will reverse the sign because you are dividing by a negative number.
A sports analyst determines that the number of points
scored in a basketball game is related to the number of
shots taken during the game. The least-squares
regression line is ý = 5.0 + 1.2x where y is the
predicted number of points scored and x is the number
of shots taken
In one game, a team takes 50 shots and scores 75
points. What is the residual for this team during this
game?
D-33
4 5
10
65
Answer:
its 10 :)
Step-by-step explanation:
Number of points scored in a basketball game is related to the number number of shots taken during the game as below:
According to questionX=number of shots taken
Y=number of points scored
Given,
X=50
Y=75
As relation given,
Y=5.0+1.2×X
When x is 50 Y= 5+1.2×50=65
∴The residual score for his team during the game is= 75-65
⇒10
Learn more about linear relation here: brainly.brainly.com/question/6691346
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Suzanne gets 7% commission on all of her sales. If she makes a sale of $350,000, how much commission will she make?
Answer:
$24,500 of commission
Step-by-step explanation:
350000*0.07 = 24,500