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3 years ago

Which algebraic expression is equivalent to this expression?

Mathematics

1 answer:

Eduardwww [97]3 years ago

6 0

Answer:

Step-by-step explanation:

9(5x)=45x

9(2)=18

4(8)=32

4(-x)=-4x

45x-4x=41x

32+18=50

41x+50

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Please help. Due in 30 minutes, whoever answers 1st I'll mark them brainlist

abruzzese [7]

Answer:

the E is the same as the circles

Step-by-step explanation:

3 0

3 years ago

The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), whe

AleksandrR [38]

Using the inverse function, it is found that the equation is:

$P(t) = \frac{e^{0.1t}}{50} + 20$

It's initial value is 20.

---------------------------

We want to find the inverse of:

$y = P^{-1}(t) = 10\ln{50t - 1000}$

To do this, we <u>exchange y and t, and isolate y.</u>

Then:

$10\ln{50y - 1000} = t$

$\ln{50y - 1000} = \frac{t}{10}$

$e^{\ln{50y - 1000}} = e^{0.1t}$

$50y - 1000 = e^{0.1t}$

$50y = e^{0.1t} + 1000$

$y = \frac{e^{0.1t} + 1000}{50}$

$y = \frac{e^{0.1t}}{50} + \frac{1000}{50}$

$P(t) = \frac{e^{0.1t}}{50} + 20$

It's initial value is:

$P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02$

Rounding, 20.

A similar problem is given at brainly.com/question/23950969

5 0

3 years ago

Find the mass of the triangle with vertices (1; 0; 0), (0; 2; 0), (0; 1; 1) if the density function is given by (x; y; z)

Luda [366]

Answer:

$=\frac{17}{3}$

Step-by-step explanation:

Density of a function is $\rho(x,y)=x^{2} +y^{2}$

I have drawn the right angle triangle for visualization

equation for the line passing through (1,0) and (0,4) is

$\frac{y}{4} =\frac{x-1}{-1}$

$y=4-4x$

= $\int_{0}^1\int_{0}^{4-4x} (x^{2}+y^{2})dydx$

= $\int_{0}^{1}(x^{2}+\frac{y^{3} }{3})dx$

= $\int_{0}^{1}(x^{2}(4-4x)+\frac{1}{3}(4-4x)^{3} )dx$

= $\int_{0}^{1}(\frac{-76}{3}x^{3} +68x^{2}-64x^{}+\frac{64}{3} )dx$

= $=(\frac{-76}{3} \frac{x^{4} }{4})+\frac{68}{3}x^{3}-32x^{2}+\frac{64}{3}x^{})$

$=\frac{17}{3}$

3 0

3 years ago

Help Please Math!!!<br> Find The Surface Area Of The Prism

LiRa [457]

Answer:

Surface Area=208 cm²

Step-by-step explanation:

Surface Area= 2×l×w+2×l×h+2×h×w

SA= 2×11×4+2×4×4+2×11×4=208

8 0

2 years ago

What is the effect on the graph of the function f(x) =5x when f(x) is replaced with f(x) + 9?

Nimfa-mama [501]

Answer:

When we add 9 to the function we are shifting the function up 9 units.

Step-by-step explanation:

If it were added inside the function, it woulds shift it left or right.

But since it is outside the function, we will shift it up or down

When we add 9 to the function we are shifting the function up 9 units.

5 0

3 years ago