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3 years ago

Which expression would be easier to simplify if you use the associative property to change the grouping?

Mathematics

1 answer:

Alex3 years ago

3 0

The answer is D because it’s more simple

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Find the co-ordinates of the points where the line represented by the linear equationy = 2x -4 intersects x-axis and y-axis.

nikdorinn [45]

Step-by-step explanation:

x-intercept => point (2, 0)

y-intercept => point (0, -4)

8 0

2 years ago

PLZ HELPPPPPPPPPPPPPP

insens350 [35]

Answer:

F, I only

Step-by-step explanation:

We can see this is a quadratic equation and c is the constant. What changes when we change the constant? It will change the h intercept which we can see is also known as a y intercept (the y axis is renamed as h).

You can also use graphs to visualize this, try changing the constant in the equation and you can see the y intercept change.

so the answer is F, I only.

5 0

2 years ago

Newton's law of cooling is:

Mnenie [13.5K]

Answer:

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

$\frac{du}{dt}= -k (u-T)$

We can reorder the expression like this:

$\frac{du}{u-T} = -k dt$

We can use the substitution $w = u-T$ and $dw =du$ so then we have:

$\frac{dw}{w} =-k dt$

IF we integrate both sides we got:

$ln |w| = -kt +C$

If we apply exponential in both sides we got:

$w = e^{-kt} *e^c$

And if we replace w = u-T we got:

$u(t)= T + C_1 e^{-kt}$

We can also express the solution in the following terms:

$u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}$

For this case we know that $k =-0.15 hr$ since w ehave a cooloing, $T_{i}= 70 F, T_{amb}=11F$ , we have this model:

$u(t) = (70-11) e^{-0.15t} +11$

And if we want that the temperature would be 32F we can solve for t like this:

$32 = 59 e^{-0.15 t} +11$

$21=59 e^{-0.15 t}$

$\frac{21}{59} = e^{-0.15 t}$

If we apply natural logs on both sides we got:

$ln (\frac{21}{59}) =-0.15 t$

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

7 0

3 years ago

The temple at the top of pyramid is approximately 24 meters above the ground, and there are 91 steps leading up the temple. How

slamgirl [31]

Answer:

13.187 meters

Step-by-step explanation:

Basically, there are 24 meters for every 91 steps: $\frac{24}{91}$

There are x meters for every 50 steps: $\frac{x}{50}$

$\frac{24}{91} =\frac{x}{50}$

Cross multiply

91x = 1200

Divide both sides by 91 to isolate the variable, x

91x/91 = 1200/91

x = 13.186813

7 0

2 years ago

The scores on a test are normally distributed with a mean of 210 and a standard deviation of 20. What is the score that is 1 dev

telo118 [61]

Answer:The score above the mean is 50 percent.

Step-by-step explanation:

8 0

1 year ago