A) The speed of the parachute in feet per second is; 198 ft/s
B) At the given speed, the number of feet the parachute will fall during 15 seconds of freefall is; 2970 ft
We are given;
Speed of parachute during freefall = 60 m/s
A) We are told that 1 m = 3.3 ft
Thus, 60 m/s in ft/s = 60 × 3.3/1 = 198 ft/s
B) Speed is now 198 ft/s
Time is 15 seconds
Formula for distance is;
Distance = speed × time
Distance = 198 × 15
Distance = 2970 ft
Read more about distance, speed and time at; https://brainly.com/question/3267354
Question 7 of 10
Which of the following graphs shows a positive linear relationship with a
correlation coefficient, r, close to 1?
A.
B.
c.
D.
*
A. Graph A
B. Graph B
C. Graph
O D. Graph D
which statement correctly compares two value?
The value of the 5 in 50.89 is 1/10 the value of the 5 in 261.58.
The value of the 5 in 50.89 is 10 times the value of the 5 in 261.58.
The value of the 5 in 50.89 is 1/100 the value of the 6 261.58.
The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58
Answer:
The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58
Step-by-step explanation:
The 5 in 50.89 is in the 10's place
The 5 in 261.58 is in the 1/10's place
1/10(100) = 10
evaluate the expression 5 /6 + -3 /5
Step-by-step explanation:
[tex] \frac{7}{30} [/tex]
[tex] \frac{5}{6} + ( - \frac{3}{5} ) \\ lcm = 30 \\ \frac{25 + ( - 18)}{30} = \frac{7}{30} [/tex]
What is the range of tanx?
1. all real numbers
2. -1 ≤ y ≤ 1
3. y > 0
all real numbers except the 90 and 270 because of cosx
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 = 45Match the verbal phrase on the left with the corresponding equation on the right. Write the letter of the answer on the space provided1.c increased by 5 is 5 2.4 more than a number is 12 3. The product of 4 and n is 12 4. The difference of 27 and k is 15 5.8 less than 3 times x is 10 6. 3 times x increased by 8 is 20 7. a number minus 8 is 3 8. three times a number is 9 9. twice a number plus 1 is 11 10.6 less than a number is 5a. 27-k=15 b. n + 4 = 12 d. 3x+8 = 20 e. k-8=3 f. 3x-8=10 g. 2x + 1 = 11 h. c + 5 = 15 i. 4n = 12 c. c-6=15 j. 3n = 9
Answer:
See belowStep-by-step explanation:
1. c increased by 5 is 5 ⇒ h. c + 5 = 5 2. 4 more than a number is 12 ⇒ b. n + 4 = 12 3. The product of 4 and n is 12 ⇒ i. 4n = 12 4. The difference of 27 and k is 15 ⇒ a. 27 - k = 155. 8 less than 3 times x is 10 ⇒ f. 3x - 8 = 10 6. 3 times x increased by 8 is 20 ⇒ d. 3x + 8 = 20 7. A number minus 8 is 3 ⇒ e. k - 8 = 3 8. Three times a number is 9 ⇒ j. 3n = 99. Twice a number plus 1 is 11 ⇒ g. 2x + 1 = 11 10. 6 less than a number is 5 ⇒ c. c - 6 = 15how many seconds are there in 3 minute By the process
Answer:
Step-by-step explanation:
You can easily convert 3 minutes into seconds using each unit definition:
Minutes
minute = 60 s = 60 s
Seconds
1 s
= 1 sec / 60 = 0.01667 min
With this information, you can calculate the quantity of seconds 3 minutes is equal to.
In 3 min there are 180 s.
Which is the same to say that 3 minutes is 180 seconds.
what is the answer to this question
Answer:
a) 32km
b) 40 miles
Step-by-step explanation:
can someone help me please
Answer:
1)B 4 x 4 x 4 x 4
2)B 8292
Step-by-step explanation:
Select the graph of the function f(x) = 4+ 1/x+6
Answer:
F(x) = 4+ 1/x + 6 = 10x + 1
x
in 2011 i sold 105276 tickets.
This is 7% less then the number of tickets i sold in 2018.
How many tickets i sell in 2018?
And
Show a check of your answer.
Answer:
sorry I don't know the answer of this
Which of the following is an equilateral triangle based on the given figure?
Check the picture below.
Answer:
ΔABEStep-by-step explanation:
In ΔBCD,
Two sides are equal, i.e,
BC = CD
therefore, it is a Isoceles Triangle.
In ΔBDE,
No sides are equal,
therefore, it is Scalene Triangle.
In ΔABE,
AB = BE = AE
Therefore, it is equilateral triangle.
Hope it helps you!!2/5 x 7/9 = ( fractions )
Answer:
32/45 is your required answer
Answer:
your answer will be 14/45
Step-by-step explanation:
2/5 × 7/9
= 2 × 7
5 × 9
= 14/45
plz helppppppppppopppppp
if z1= 3+3i and z2=7(cos(5pi/9) + i sin (5pi/9)), then z1/z2= blank
[tex]z1=\stackrel{a}{3}+\stackrel{b}{3}i~~ \begin{cases} r = \sqrt{a^2+b^2}\\ r = \sqrt{18}\\[-0.5em] \hrulefill\\ \theta =\tan^{-1}\left( \frac{b}{a} \right)\\ \theta =\frac{\pi }{4} \end{cases}~\hfill z1=\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right] \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right]} {7\left[\cos\left( \frac{5\pi }{9} \right) i\sin\left( \frac{5\pi }{9} \right) \right]} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{division of two complex numbers} \\\\ \cfrac{r_1[\cos(\alpha)+i\sin(\alpha)]}{r_2[\cos(\beta)+i\sin(\beta)]}\implies \cfrac{r_1}{r_2}[\cos(\alpha - \beta)+i\sin(\alpha - \beta)] \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{\pi }{4}-\frac{5\pi }{9} \right)+i\sin\left( \frac{\pi }{4}-\frac{5\pi }{9} \right) \right] \\\\\\ \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{-11\pi }{36} \right) +i\sin\left( \frac{-11\pi }{36} \right) \right]\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{83\pi }{36} \right) +i\sin\left( \frac{83\pi }{36} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{z1}{z2}\approx 0.348~~ + ~~0.496i~\hfill[/tex]
The value of z1/z2 is √18/ 7 (cos ( 11π/36 ) - isin ( 11π/36 )).
What is complex number?"A complex number is the sum of a real number and an imaginary number and it is of the form x + iy and is usually represented by z".
For the given situation,
z1= 3+3i and
z2= 7(cos(5π/9) + i sin (5π/9))
To divide the complex numbers, both should be in same form.
Convert z1 in polar form.
z is of the form x+iy, so, r=[tex]\sqrt{x^{2}+y^{2} }[/tex]
⇒[tex]r=\sqrt{3^{2}+3^{2} }[/tex]
⇒[tex]r=\sqrt{18}[/tex]
θ = [tex]tan^{-1}(\frac{b}{a} )[/tex]
⇒[tex]tan^{-1}(\frac{3}{3} )[/tex]
⇒[tex]tan^{-1}(1)[/tex]
⇒[tex]45[/tex]°
The polar form is of the form, z= r (cosθ + i sinθ),
⇒ z1 = [tex]\sqrt{18}[/tex] (cosπ/4 + isinπ/4)
The formula for dividing complex number is
z1/z2 = r1(cos θ1 + isin θ1) / r2(cos θ2 + isin θ2)
⇒ z1/z2 = r(cosθ + isinθ)
where, r = r1/r2 and θ = (θ1 - θ2)
z1/z2 = [tex]\sqrt{18}[/tex] (cos π/4 + isin π/4) / 7 (cos 5π/9 + isin 5π/9)
⇒ r = [tex]\sqrt{18}[/tex] / 7 and
θ = (π/4 - 5π/9 )
⇒ θ = (-11π/36)
cos(-θ) = cos θ
⇒cos( -11π/36 ) = cos ( 11π/36 )
sin(-θ) = -sin θ
⇒ sin ( -11π/36 ) = -sin ( 11π/36 )
Thus, z1/z2 = [tex]\sqrt{18}[/tex] / 7 (cos ( 11π/36 ) - isin ( 11π/36 ))
Hence we can conclude that the value of z1/z2 is
√18/ 7 (cos ( 11π/36 ) - isin ( 11π/36 )).
Learn more about complex number here
https://brainly.com/question/19612663
#SPJ2
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..
Help help hep help help math
Answer:
Angle 5
Step-by-step explanation:
The gas tank in dads car holds 5 gallons. The gas tank in moms truck holds 50% more than that. How much gas does the truck's tank hold.
Answer:
7.5 gallons
Step-by-step explanation:
the 50% of 5 gallons is 2.5 then add up 5 gallons so the answer is 7.5 gallons of gas
find the discriminant of -2x^2+8=x^2-28
Answer:
If I'm not wrong I think the answer should be (-28)
Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save ?
Answer:
50%
Step-by-step explanation:
75/150 = x/100
x = 50
Answer:
50%
explanation
half of 150 is 75(75x2)
Which of the following functions has a period of 8 π ?
y =sin1/8x
y = sin1/4x
y = sin4x
y = sin8x
Explanation:
The general template of a sine function is
y = Asin(B(x-C))+D
The value of B is the only thing that determines the period T. We ignore every other term.
It turns out that T = 2pi/B which can be solved to B = 2pi/T
Plug in the given period of T = 8pi and compute to get
B = 2pi/T
B = (2pi)/(8pi)
B = 2/8
B = 1/4
This means that the term out front of the x is 1/4 and the equation must be [tex]y = \sin\left(\frac{1}{4}x\right)[/tex] which matches with answer choice B.
squared root of -100 =
Step-by-step explanation:
Please this is a wrong question. If you mean square root of 100 then it's 10. As for -100, it's an error.
Plz help if understand this problem
This is the same as typing in 0.5x^7
Other equivalent forms are (1/2)x^7 or (x^7)/2
=====================================================
Work Shown:
[tex]\frac{d}{dx}\left[f(x^2)\right] = x^8\\\\f'(x^2)*\frac{d}{dx}(x^2) = x^8\\\\f'(x^2)*2x = x^8\\\\f'(x^2) = \frac{x^8}{2x}\\\\f'(x^2) = \frac{x^7}{2}\\\\f'(x^2) = \frac{1}{2}x^7\\\\f'(x^2) = \boldsymbol{0.5x^7}\\\\[/tex]
I used the chain rule on the second step. The chain rule will apply the derivative to the outer function f(x^2). Then we also apply the derivative to the inner function x^2 to get 2x, which is multiplied with f ' (x^2). From that point, we isolate f ' (x^2).
Side note: When applying the first derivative, it might help to think of f(x^2) as simply f(x) on a temporary basis.
Hello hello there help
Answer:
Step-by-step explanation:
A translation 1 unit left and 2 units down :)
whats 4000+60=
and whats 60+4000=
Answer:
4060
Step-by-step explanation:
Answer:4060
Step-by-step explanation:
please help ill mark brainliestO
Answer:
56
Step-by-step explanation:
Work out the area of the shaded shape.
Answer:
Step-by-step explanation:
A = 8(14) - 9(8 - 4) = 76 m²
Figure A is a scale image of Figure B. What is the value of x?
Answer:
good day of school and➕➕ I have a great day of school and I have a great day☀☀☀ of school and➕➕ I
How to find the area of a missing square
Check the picture below.
btw, when Pythagoras said the square of this equals that and so on, he really meant the square or square area.
You are delt 1 card from a 52 card deck. Find the probability that you are not dealt a 10
Answer:
Step-by-step explanation:
There are 4 tens.
There are 48 cards that are not a 10. The probability of drawing 1 of the 48 is
P(~10) = 48/52 which is quite high as you might imagine.
