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nikklg [1K]
3 years ago
7

ASAP! I NEED THIS DONE AS QUICKLY AS POSSIBLE WITH WORKING OUT

Mathematics
1 answer:
matrenka [14]3 years ago
3 0

Yo sup??

To find velocity just differentiate the function r once wrt to t

v=dr/dt=(9t^2-1)i+(4t+2)j)

and to find acceleration differentiate v wrt to t

a=dv/dt=18ti+4j

Hope this helps.

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The other side is 25, but im not sure what sin B is
ruslelena [56]

9514 1404 393

Answer:

  sin B = 24/25

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

The side opposite angle B is the side AC. Its length is shown as 24. You have correctly said the hypotenuse (AB) is 25, so you have ...

  sin(B) = AC/AB

  sin(B) = 24/25

3 0
3 years ago
Luke is building a bike ramp. The ramp is going to be 3 feet tall on the high end and 6 feet long. How long is the base of the r
eimsori [14]

Answer: 5.1961

Step-by-step explanation: I believe you would use the Pythagorean’s theorem, since it’s a problem about a ramp, always draw pictures for word problems. So you would plug your numbers in the formula and solve. 3 squared plus B squared (that’s what we are trying to find so its a variable) equals 6 squared. Then you square and it becomes 9 + b2= 36, subtract 9 on both sides, b2=27, then square root on both sides to get 5.1961. Hopefully that’s right. :)

7 0
4 years ago
Q20-23 with steps pls
just olya [345]

20: Let x be the amount of money. If this amount is shared between 8 people, each person will get x/8 dollars. But there actually are 6 people, so everyone is getting x/6 dollars. We know that this difference results in 30 dollars more, so we have

\dfrac{x}{6}=\dfrac{x}{8}+30 \iff \dfrac{x}{6}-\dfrac{x}{8}=30

Rearrange the left hand side as

\dfrac{4x-3x}{24}=30

And multiply both sides by 24 to get

x=720

21: Let M and J be the number of marbles owned by Mike and Judy, respectively. At the beginning, we have

M=3J+11

If they both get 9 more marbles, Mike will have M+9 marbles, and Judy will have J+9 marbles. So, we have

M+J+18=93 \iff M+J=75 \iff M=75-J

Plug this value in the first equation and we have

75-J=3J+11 \iff 4J=64 \iff J=16

And we deduce

M=16\cdot 3 + 11=59

So, the difference is  

M-J=59-16=43

22: Let x,y,z be the number of $10, $20 and $50 coupon, respectively. We're given:

\begin{cases}x=2y+3\\z=\frac{1}{2}y\\x+y+z=38\end{cases}
We can write the third equation by substituting the expressions for x and z:
[tex]x+y+z=(2y+3)+y+\left(\dfrac{1}{2}y\right)=38

Rearrange as follows:

(2y+3)+y+\left(\dfrac{1}{2}y\right)=38 \iff \dfrac{7}{2}y=35 \iff 7y=70 \iff y=10

And now we can deduce the number of the other coupons:

x=2\cdot 10+3=23,\quad z=\dfrac{1}{2}\cdot 10=5

So, the total value is

23\cdot 10+10\cdot 20+5\cdot 50=230+200+100=530

23:  a) In order to find the first three terms of the sequence, you just need to plug n=1,2,3:

a_1=4\cdot 1+3=7,\quad a_2=4\cdot 2+3=11,\quad a_3=4\cdot 3+3=15

b) We have

a_r = 4r+3=71 \iff 4r=68 \iff r=\dfrac{68}{4}=17

c) 105 is a term of the sequence if and only if there exists an integer k such that

a_k=4k+3=105 \iff 4k = 102 \iff k=\dfrac{102}{4}=25.5

So, 105 is not a term of the sequence.

8 0
4 years ago
Mary received a $16 discount on a $64 dress. what percent discount did Mary receive?
Ilia_Sergeevich [38]

Answer:

25%

Step-by-step explanation:

if 64 dollars is the 100% How much is 16 dollars?

(16)(100) / 64 = 25

8 0
3 years ago
Please help me please.
shtirl [24]

Answer:

The first one is 79

The second one is 26

I hope this helped! :D

Step-by-step explanation:

For the first one you just plug in 23 into x so it would be 3(23) + 10 = x

For the second one you just plug in 88 into g so it would be 88 = 3x + 10

6 0
3 years ago
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