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3 years ago

I really need help with these, if you know any it would help so much

Mathematics

1 answer:

algol133 years ago

5 0

Answer:

1: 23.85

2: 83%

3: 44

Step-by-step explanation:

1 - do 53x0.45 (23.85)

2 - Divide 20 by 24, which you get 0.833333333 and move the decimal 2x to the right. You get 83.3333333, but round. So 83%

3 - do 80x0.55 (44)

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Find the unknown length in the right triangle 27cm and 13 cm

Phoenix [80]

use pythagoras:

${c}^{2} = \: {b}^{2} - {a}^{2}$

c^2 = (27)^2 - (13)^2

c^2 = 560

c = 23.6643....cm

3 0

3 years ago

Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector

Feliz [49]

$f(x,y,z)=2z^2x+y^3$

$f$ has gradient

$\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k$

which at the point (-1, 4, 3) has a value of

$\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k$

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say $\vec u=15\,\vec\imath+25\,\vec\jmath$ , in which case we have

$\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}$

Then the derivative of $f$ at (-1, 4, 3) in the direction of $\vec u$ is

$D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}$

4 0

3 years ago

(x2 + 17x + 63) ÷ (x + 8) = A. x + 10 remainder –9 B. x + 9 remainder – 5 C. x + 9 remainder –9 D. x + 7 remainder –10

Lady_Fox [76]

Thank you for posting your question here in brainly. The answer to the above equation is letter C which is x + 9 remainder –9. Please see below solution:

x2 + 17x + 63 / x + 8 = x + 9 r-9
x2 + 8x
9x + 63
9x + 72
-9

5 0

3 years ago

Read 2 more answers

Hi, may someone help me with this question? Thank you!:) “If f(x) = x^2 + 7, find f(x+2)”

finlep [7]

Answer:

=x^2 +4x+11

Step-by-step explanation:

f(x) = x^2 + 7,

Replace x with x+2

f(x+2) = (x+2)^2 + 7

= (x+2)(x+2) +7