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lesya [120]
3 years ago
6

_____m = 1km _____ml = 1DL _____cg = 1dag

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
6 0
( 1,000m = 1km )
—There is 1 KILOMETER is 1000 meters.

(100ml = 1DL)
<span>—There are 100 milliliters in one deciliter, and there are 10 milliliters in 0.1 deciliters.
</span>
( 1,000cg = 1dag )
—There are 1,000 centigrams in 1 decagram, and there are 0.001 decagrams in one centigram.
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Find the length of the missing side and leave the answer in simplest radical form.
Alex73 [517]

Answer:

3√5 ft

Step-by-step explanation:

third side=√(9²-6²)=√(81-36)=√(45)=3√5 ft

8 0
3 years ago
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Jerry is paving the parking spot shown below. It costs \$50$50dollar sign, 50 to pave each square meter.
EastWind [94]

Answer:

$1250

Step-by-step explanation:

6 1/4 × 4 = 25

25 × 50 = cost

Cost = $1250

5 0
4 years ago
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Suppose your firm had the following taxable income amounts: 2015 ($5 million) operating loss 2016 $4 million 2017 $4 million 201
ioda

Answer:

$7,000,000

Step-by-step explanation:

The taxable income is the amount of money (income earned or unearned) by an individual or an organization that creates a potential tax liability.

The formula is shown below:

Taxable Income Formula = Gross Total Income – Total Exemptions – Total Deductions

Note that $5,000,000 for 2015 is an operating loss which is a deduction.

Gross Total Income = $4000000+$4000000+$4000000 = $12,000,000

Total Exemption = 0

Total Deductions = $5,000,000

Taxable Income Formula = $12,000,000 - $5,000,000 = $7,000,000

5 0
3 years ago
(a)5%)Let fx, y) = x^4 + y^4 - 4xy + 1. and classify each critical point Find all critical points of fx,y) as a local minimum, l
lara31 [8.8K]

f(x,y)=x^4+y^4-4xy+1

has critical points wherever the partial derivatives vanish:

f_x=4x^3-4y=0\implies x^3=y

f_y=4y^3-4x=0\implies y^3=x

Then

x^3=y\implies x^9=x\implies x(x^8-1)=0\implies x=0\text{ or }x=\pm1

  • If x=0, then y=0; critical point at (0, 0)
  • If x=1, then y=1; critical point at (1, 1)
  • If x=-1, then y=-1; critical point at (-1, -1)

f(x,y) has Hessian matrix

H(x,y)=\begin{bmatrix}12x^2&-4\\-4&12y^2\end{bmatrix}

with determinant

\det H(x,y)=144x^2y^2-16

  • At (0, 0), the Hessian determinant is -16, which indicates a saddle point.
  • At (1, 1), the determinant is 128, and f_{xx}(1,1)=12, which indicates a local minimum.
  • At (-1, -1), the determinant is again 128, and f_{xx}(-1,-1)=12, which indicates another local minimum.
4 0
3 years ago
Jenny works in a picture framing shop. She has a function f(x) equals X +2 that find the size of a square frame, given a picture
Iteru [2.4K]

Given:

The function for size of a square frame is

f(x)=x+2

where, x is the side length of the picture.

The function for the price in dollars for the frame is

p(x)=3x

To find:

The single function for the price of a picture with an edge length of x.

Solution:

We know that, for a picture with an edge length of x.

Size of a square frame = f(x)

Price in dollars for the frame = p(x)

Single function for the price of a picture with an edge length of x is

(p\circ f)(x)=p(f(x))

(p\circ f)(x)=p(x+2)       [\because f(x)=x+2]

(p\circ f)(x)=3(x+2)           [\because p(x)=3x]

Let the name of this function is c(x). So,

c(x)=3(x+2)

Therefore, the required function is c(x)=3(x+2).

8 0
3 years ago
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