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Leya [2.2K]
3 years ago
15

Harley ate 3 Oreos each day of the week. If Ceire eats 2 Oreos each day of the week,

Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

35

Step-by-step explanation:

You take 3 times 7 and that's 21. Then 2 times 7 and that's 14. So, 21+14=35

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Find the derivative of the function at P 0 in the direction of A. ​f(x,y,z) = 3 e^x cos(yz)​, P0 (0, 0, 0), A = - i + 2 j + 3k
Alik [6]

The derivative of f(x,y,z) at a point p_0=(x_0,y_0,z_0) in the direction of a vector \vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k is

\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}

We have

f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k

and

\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}

Then the derivative at p_0 in the direction of \vec a is

3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}

3 0
4 years ago
True or false 49 is a irratinal number
Vikki [24]

Answer:

false

Step-by-step explanation:

49 is a rational no

brainliest pleazzzz......

7 0
3 years ago
Read 2 more answers
Please help as soon as possible
Kobotan [32]
We have an triangle:
base=4 in
height=3 in,
This triangle can be dividided into two equal triangles, we need calculate the hypotenuse.
leg₁=4 in/2=2 in
leg₂=3 in

Pythagoras law:
hypotenuse²=leg₁²+leg₂²
hypotenuse²=(2 in)²+(3 in)²
hypotenuse²=4 in²+9 in²
hypotenuse²=13 in²
hypotenuse=√13 in.

Now, we can find the surface area.
Surface area=2 *(rectangle area)+base area + 2(triangle area)
rectangle area=10 in x √13 in=10√13 in²
base area=10 in  x 4 in=40 in²
Triangle area=(4 in x 3 in)/2=6 in²

Surface area=2(10√13 in²)+40 in²+2(6 in²)=(20√13+52) in²≈124.11 in²

Answer: 124.11 in²
7 0
3 years ago
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Avery has four cards numbered one, two, three and four. She chooses two cards without replacement. What is the probability of bo
igomit [66]

Answer:

2/7 or 2:7

Step-by-step explanation:

8 0
3 years ago
Calculate the value of x for the following polygon
mixas84 [53]

Answer:

X = 60 degrees

5 0
3 years ago
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