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damaskus [11]
1 year ago
15

In each of the following equations, what is y when z=2? When x = 0? Where would the graph of each equation cross the y-axis? Hom

ey
Help
a. y = 3x + 15
b. y=3-3z
Mathematics
1 answer:
Lelechka [254]1 year ago
5 0

Answer:

a. y = 3 × 0 + 15

y= 0+15

y= 15

Step-by-step explanation:

Subtitute the variables into the place they are denoted with and solve it

And the place where the equation will cross the y axis is just the last numbers i.e. 15 and 3z which is 6

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Plutonium-240 decays according to the function L where o
PIT_PIT [208]

Answer:

\boxed{\textbf{1700 yr}}

Step-by-step explanation:

-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt

Data:

L₀ = 24 g

L = 20 g

k = 0.000 11 yr⁻¹

Calculation:

\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}

8 0
3 years ago
Marty collects colorful paper clips. Each week he is sure to add exactly five new paper clips to his collection. Make a table re
ruslelena [56]

Answer:

all of them

Step-by-step explanation:

7 0
2 years ago
Identify the coefficient and the exponent for each term of 8x ^ 4 - 2x
velikii [3]

Step-by-step explanation:

Given binomial is: 8x^4 - 2x

in \: the \: term \: 8 {x}^{4}  \\ coefficient = 8 \\ exponent = 4 \\ \\  in \: the \: term \:  - 2x  \\ coefficient =  - 2 \\ exponent = 1

4 0
2 years ago
180 degrees clockwise is parallel ?
aivan3 [116]

Answer:

may we please have some more info on the question?

Step-by-step explanation:

8 0
3 years ago
Help a girl out with geometry
Darya [45]
Follow the steps

106=x+79+x+45
106=2x+124
-124= -124
-18=2x
( -18)/2=(2x)/2 <----- solving for x
-9=x

then
angle LMF= -9+79
=70

angle FMN= -9+45
= 36
(when you add 70 and 36 together you get 106 which is the measurement of angle LMN or in other word the whole thing)

In conclusion the answer to the problem is:
Angle LMF is equal to 70.
7 0
3 years ago
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