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harina [27]
3 years ago
9

The formula for the resistance of a conductor with voltage V and current I is r= v/1. Solve for V.

Mathematics
1 answer:
VikaD [51]3 years ago
8 0
V=i x r is the formula 
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What is the equation of the line that passes through the point (- 4, 1) and has slope of - 3/4 ?
Katarina [22]
Y-1=-3/4(x+4)
y-1=-3/4x-3
Add 1 to each side
slope intercept- y=-3/4x-2
Point slope intercept form- y-1=-3/4x-3
4 0
3 years ago
Please help!!!!!!!!! in the similarity transformation of abc to def, abc was dilated by a scale factor of ?, reflected across th
shusha [124]

The complete similarity transformation is: triangle abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].​

<h3><u>What is Similarity?</u></h3>
  • When it comes to Euclidean geometry, two things are said to be comparable if they have the same shape or the same shape as each other's mirror image.
  • More specifically, by uniformly scaling (enlarging or decreasing), maybe with additional translation, rotation, and reflection, one can be created from the other.
  • This indicates that one object may be properly aligned with the other object by rescaling, moving, and reflecting it. When two things are comparable to one another, one is consistent with the outcome of a specific uniform scaling of the other.

From the figure, we have:

AB = 2 units

DE = 4 units

So, the scale factor (k) is:

k = DE/AB

k = 4/2

k = 2

Also, both shapes are on either sides of the x-axis, and they are equidistant from the x-axis.

This means that the triangle is reflected across the x-axis with no translation.

Hence, the complete similarity transformation is: abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].​

So, the scale factor is 2

Know more about Similarity with the help of the given link:
brainly.com/question/12670209

#SPJ4

5 0
2 years ago
A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco
Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60

dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2

When t=60 seconds

N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0
3 years ago
What is Reciprocal Property of Multiplication?
Kaylis [27]
<span>When the product of two numbers is one</span>
4 0
4 years ago
Read 2 more answers
A small business assumes that the demand function for one of its new products can be modeled by p = Cekx. When p = $40, x = 1000
Maru [420]

Answer:

C= 82.1116

k=-0.0007192

Step-by-step explanation:

p=Ce^{kx}\\40=Ce^{k1000}\\30=Ce^{k1400}\\

Applying logarithmic properties yields in the following linear system:

ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k

Solving for k:

ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k\\400 k = ln(30)-ln(40)\\k=-0.0007192

Solving for C:

40=Ce^{-0.0007192*1000}\\C= \frac{40}{e^{-0.0007192*1000}}\\C=82.1116

C= 82.1116

k=-0.0007192

6 0
3 years ago
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