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2 years ago

Find the slope of the graph

Mathematics

1 answer:

gladu [14]2 years ago

4 0

Answer:

From the General Equation of a straight line

Y=Mx + c

where M = Slope of the line

c= Intercept on Y axis

y=-4.2x-80

Comparing with the Eqn of a straight line

Slope = -4.2

From the Options the answers are in Fractions

You can easily convert this figure to fraction by Moving the decimal to the back once and then divide by 10

Then we have -42/10

Reducing Further

you have = -21/5.

Option D✅

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Plz help no one would help me with this i beg of u

Tems11 [23]

Answer:

1.) D. Rotation

2.) D. Side H

3.) A. Reflection

4a) AB≅WX

DC≅ZY

4b) C≅Y

B≅X

Hope this helps!

4 0

3 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

An experiment started with 100 bacteria. They double in number every hour. Find the number of bacteria after 8 hours.

zzz [600]

There will be 25,6000

8 0

2 years ago

Solve -103 = 6x + 17. (A) -16 (B) 16 (C) -20 (D) 20

andrew11 [14]

The correct answer is C (-20) let me know if you want to know how I got that answer

3 0

2 years ago

Read 2 more answers

Why the following triangles are congruent!

dimaraw [331]

Answer:

Because the sides BO and MA are marked with one line through the middle, which means those sides are congruent, angle A and Angle O are marked with one line, the angles are congruent, and angles W and N are marked with two lines, which means they are congruent. Therefore the triangles are congruent

7 0

2 years ago