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3 years ago

Electricity City increases the price of televisions by 25%. If a television now sells for

Mathematics

1 answer:

Burka [1]3 years ago

6 0

Answer:

340

Step-by-step explanation:

As it was increased by 25%, $425 is 125% of the original price, so we can get back to 100% by dividing 425 by 5 [85], so 85 is 25% of the price. We can now get the original price by subtracting 85 from 425 (or you could multiply 85 by 4) which is 340

You can check this answer by multiplying 340 by 1.25

If the answer is 425, then it is correct, else, not. [it is]

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Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xey + yez + ze

attashe74 [19]

Answer: 6 / √26

Step-by-step explanation:

Given that f(x, y, z) = xe^y + ye^z + ze^x

so first we compute the gradient vector at (0, 0, 0)

Δf ( x, y, z ) = [ e^y + ze^x, xe^y + e^z, ye^z + e^x ]

Δf ( 0, 0, 0 ) = [ e⁰ + 0(e)⁰, 0(e)⁰ + e⁰, 0(e)⁰ + e⁰ ] = [ 1+0 , 0+1, 0+1 ] = [ 1, 1, 1 ]

Now we were also given that V = < 4, 3, -1 >

so ║v║ = √ ( 4² + 3² + (-1)² )

║v║ = √ ( 16 + 9 + 1 )

║v║ = √ 26

It must be noted that "v" is not a unit vector but since ║v║ = √ 26, the unit vector in the direction of "V" is ⊆ = ( V / ║v║)

⊆ = ( V / ║v║) = [ 4/√26, 3/√26, -1/√26 ]

therefore by equation D⊆f ( x, y, z ) = Δf ( x, y, z ) × ⊆

D⊆f ( x, y, z ) = Δf ( 0, 0, 0 ) × ⊆ = [ 1, 1, 1 ] × [ 4/√26, 3/√26, -1/√26 ]

= ( 1×4 + 1×3 -1×1 ) / √26

= (4 + 3 - 1) / √26

= 6 / √26

8 0

4 years ago

The difference of the squares of two positive consecutive even integers is 4444. find the integers. use the fact that, if x rep

Sergio [31]

Remember that the formula for the difference of squares is $a^2 - b^2$ , where $a$ and $b$ are expressions or values.

In this case, we have two expressions, $x$ and $(x + 2)$ . We are also given that their difference of squares is 4444. Using the formula, we can say:

$(x + 2)^2 - x^2 = 4444$

Now, we can solve for $x$ :

$(x + 2)^2 - x^2 = 4444$

$(x^2 + 4x + 4) - x^2 = 4444$

$4x + 4 = 4444$

$4x = 4440$

$x = 1110$

We now know that the first number is 1110. To find the second number, we must add 2 to the first number, which means that the second number, represented by $(x + 2)$ , is equal to 1112.

Our two numbers are 1110 and 1112.

7 0

3 years ago

If an isosceles triangle has one side that is

Sphinxa [80]

Answer:

Step-by-step explanation:

7 0

3 years ago

Mrs. Hinely grows roses. There are 6 roses on each of her 10 rose bushes. How many roses in all are on Mrs. Hinely's rose bushes

diamong [38]

In order to find the total number of roses, we can use multiplication. Since there are 6 roses on each bush, we can say that the answer is: 6+6+6+6+6+6+6+6+6+6. Since multiplication is a way to quickly add the same number, we can use 6*10. This becomes 60.

Good luck :D

8 0

4 years ago

Read 2 more answers

Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tick

AlexFokin [52]

There was approximatly 80 adult tickets sold

3 0

3 years ago