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3 years ago

-17=x-15 I'm stuck so can someone help

Mathematics

2 answers:

Strike441 [17]3 years ago

8 0

Answer:

-2

Step-by-step explanation:

-2-15

-2 +(-15)

-17

Sveta_85 [38]3 years ago

7 0

Answer:

-2

Step-by-step explanation:

-17 = x - 15

-17 + 15 = x

-2 = x

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Circumference of 6cm ? help plz <3 heyyy b a e (bet you won't reply :)

Naily [24]

Answer:

If r = 6 cm, the the circumference is c = 2π(6) = 12π cm

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7 0

3 years ago

The temperature in Fargo was (-28) degrees on Monday afternoon. By the evening it dropped an additional 15 degrees. What was the

antiseptic1488 [7]

Step by step explanation: -28-15

When adding negative with positive it will always be negative so for this question, subtract -28 with 15 which would be -48. So -48 would be the temperature in the evening.

Final Result: -43

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3 years ago

Consider f and c below. f(x, y, z) = yzexzi + exzj + xyexzk,

Jet001 [13]

Answer:

$f(x,y,z)=ye^{xz}+C$

Step-by-step explanation:

We can write the given expression as :

$\vec f(x,y,z)=yze^{xz}\,\vec\imath+e^{xz}\,\vec\jmath+xye^{xz}\,\vec k$

As given, f = ∇f.

∇f = $\dfrac{\partial f}{\partial x}i$ + $\dfrac{\partial f}{\partial y}j$ + $\dfrac{\partial f}{\partial z}k$

We can write the partial derivative with respect to x, y and z.

$\dfrac{\partial f}{\partial x}=yze^{xz}$ ___(Equation 1)

$\dfrac{\partial f}{\partial y}=e^{xz}$ ______(Equation 2)

$\dfrac{\partial f}{\partial z}=xye^{xz}$ ______(Equation 3)

Take equation 2 and integrate with respect to y,

$\dfrac{\partial f}{\partial y}=e^{xz}$

$f(x,y,z)=ye^{xz}+a(x,z)$ ----------Equation 4

Derivate both sides w.r.t x , we get :

$\frac{d}{dx}(yze^{xz})=yze^{xz}+\dfrac{\partial a}{\partial x}$

$\dfrac{\partial a}{\partial x}=0$

integrate

a(x,z)=b(z)

put in equation 4 ,

we get :

$f(x,y,z)=ye^{xz}+b(z)$

take derivative wrt z

$\frac{d}{dz} (ye^{xz}+b(z))\impliesxye^{xz}=xye^{xz}+\frac{db}{dz}$

we can take here:

$\frac{db}{dz} = 0$

integrate:

$\int\ {\frac{db}{dz} } \, =\int0$

b(z) = C

The function can be written as :

from equation 4 :

$f(x,y,z)=ye^{xz}+C$

Where C is a constant.

4 0

3 years ago

A.Find a formula for

Vlada [557]

a. Notice that

1/(1*2) = 1/2 = 1 - 1/2

1/(2*3) = 1/6 = 1/2 - 1/3

1/(3*4) = 1/12 = 1/3 - 1/4

and so on, which suggests the n-th term of the sum can be written as

$\dfrac1{n(n+1)}=\dfrac1n-\dfrac1{n+1}$

Then the sum itself is telescoping:

$\dfrac1{1\cdot2}+\dfrac1{2\cdot3}+\dfrac1{3\cdot4}+\cdots+\dfrac1{n(n+1)}$

$=\left(1-\dfrac12\right)+\left(\dfrac12-\dfrac13\right)+\left(\dfrac13-\dfrac14\right)+\cdots+\left(\dfrac1n-\dfrac1{n+1}\right)$

$=1-\dfrac1{n+1}$

b. The proof is trivial:

$\dfrac1n-\dfrac1{n+1}=\dfrac{n+1}{n(n+1)}-\dfrac n{n(n+1)}=\dfrac{n+1-n}{n(n+1)}=\dfrac n{n+1}$

so the formula found in (a) is correct.

5 0

3 years ago

Andy spins a fair spinner numbered 1 - 6 and flips a fair coin. What is the probability of obtaining a multiple of 2 and a head?

Illusion [34]

Answer:

1/4, or 25%

Step-by-step explanation:

The probability of flipping a head is 1/2.

The probability of rolling an even number in a range from 1-6 is also 1/2

The probability of getting both in a single try then is 1/2 * 1/2, or 1/4

6 0

3 years ago