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notsponge [240]

2 years ago

7

Using the distributive property simplify completely

2 answers:

Nadya [2.5K]2 years ago

6 0

−(x+2y−4z)

=−x−2y+4z

0.5(4x+3y−8z)

=(0.5)(4x+3y+−8z)

=(0.5)(4x)+(0.5)(3y)+(0.5)(−8z)

=2x+1.5y−4z

Rzqust [24]2 years ago

3 0

$-(x+2y-4z)= -x-2y+4z\\\\0.5 (4x+3y-8z)= 2x+1.5y-4z\\\\\sf Using~ the~ formulas: -(a-b)=-a+b\\ and~ a (b+c)=ab+ac$

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Can someone please help me with this?

Svet_ta [14]

Increasing: (-4,-4)
Decreasing: (4,-2)

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2 years ago

Area in sq. in. = 3/5 in. X 3 1/2 in.

nexus9112 [7]

Answer:

3/5 X 3 1/2 = 3/5 X 7/2 = 21/10 = 2.1 in²

Step-by-step explanation:

6 0

2 years ago

2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA

professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

$A=45e^{-0.0045(t)}$

a) To find the initial amount of this substance

At t=0, we get

$A=45e^{-0.0045(0)}$ $A=45e^0$

We know that e^0=1 ( anything to the power zero is 1)

we get,

$A=45$

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

$\frac{45}{2}=45e^{-0.0045(t)}$

$\frac{1}{2}=e^{-0.0045(t)}$

Taking natural logarithm on both sides we get,

$\ln (\frac{1}{2})=-0.0045(t)^{}$ $(-1)\ln (\frac{1}{2})=0.0045(t)$ $\ln (\frac{1}{2})^{-1}=0.0045(t)$ $\ln (2)=0.0045(t)$ $0.6931=0.0045(t)$ $t=\frac{0.6931}{0.0045}$ $t=154.02$

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

$A=45e^{-0.0045(2500)}$ $A=45e^{-11.25}$ $A=45\times0.000013=0.000585$ $A=0.000585$

The amount of substance will be present around in 2500 years is 0.000585 grams

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1 month ago

Is 0.21 smaller or bigger than a half?

Savatey [412]

Smaller, since a half equals to 0.50

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2 years ago

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A tent is in the shape of a triangular prism. The front and back are isosceles triangles with base 6 feet and height 4 feet. The

Pani-rosa [81]

It would be 6+4, which equals 10. Then, subtract 104 ft minus 10 to get 94 ft in depth.

5 0

2 years ago

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