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Juliette [100K]
2 years ago
8

The derivative of a function f(x)=2-7sinx is--------

Mathematics
1 answer:
Setler [38]2 years ago
7 0

Answer: -7cos(x)

Step-by-step explanation:

d/dx (f(x))= -7cos(x)

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Jim is running on a trail that is 5/4 of a mile long. So far he has run 2/3 of the trail. How many miles has he run so far?
Advocard [28]
You have to subtract 5/4 by 2/3 but in order to do that you must find a common denominator or least common multiple so the least common denominator of 4 and 3 is 12 so you have to multiply 4 by 3 and three by 4 to make both denominators 12 but you have to do the same thing on the top as you did the bottom so: 5/4*3= 15/12 and 2/3*4=8/12 Then 15/12-8/12 is 7/12 so Jim has to run 7/12 more
7 0
3 years ago
There are 3ft in 1 yard. This is equivalent to 12ft in 4yrds.Which proportion can be used to represent this?
harina [27]

You could use the proportion 3:1.

Per 3 feet, there is 1 yard.

For every 3 feet, there is an additional yard.

The ratio is 3 to 1, or 3:1


5 0
3 years ago
(1 point) Find two unit vectors orthogonal to a=⟨4,5,0⟩a=⟨4,5,0⟩ and b=⟨0,1,−3⟩b=⟨0,1,−3⟩ Enter your answer so that the first no
Anni [7]

Answer:

 First vector

V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}

Second vector

V=- \dfrac{-15i+12j+4k}{\sqrt{385}}

Step-by-step explanation:

Given that

Vector a ,  a= 4 i + 5 j + 0 k

Vector b , b= 0 i + 1 j  - 3 k

The orthogonal vector V is given as

V = a x b

V is the cross product of the above two vector which is orthogonal to the vectors a and b.

V=\begin{vmatrix}i & j & k\\ 4 & 5 & 0\\  0& 1 &-3 \end{vmatrix}\\V=i(-15-0)-j(-12-0)+k(4-0)\\V=-15i+12j+4k

The unit vectors

V=\pm \dfrac{-15i+12j+4k}{\sqrt{15^2+12^2+4^2}}\\\\V=+\dfrac{-15i+12j+4k}{\sqrt{385}}\\V=-\dfrac{-15i+12j+4k}{\sqrt{385}}

First vector

V=+ \dfrac{-15i+12j+4k}{\sqrt{385}}

Second vector

V=- \dfrac{-15i+12j+4k}{\sqrt{385}}

5 0
3 years ago
3) Mrs. Noah’s bill, before tax, is $50. The sales tax rate is 3%. Mrs. Noah decides to leave a 2% tip for the gate keeper based
ollegr [7]

Answer:

$52.50

Step-by-step explanation:

Start with       $50

Add 2% Tip:  $1         (50 x 0.02)

Add 3% Tax: $1.5      (50 x 0.03)

Total:            $52.50

7 0
3 years ago
Read 2 more answers
What is the solution to the inequality -2(m+3)<4​
diamong [38]

Answer:

m>−5

Step-by-step explanation:

6 0
3 years ago
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