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REY [17]
3 years ago
9

What is the scale factor in the dilation?

Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0

Answer:

3

Step-by-step explanation:

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If you place a cup of 210 degree Fahrenheit coffee on a table in a room that is 68 degrees fareinheit, and ten minutes later, it
Lana71 [14]
Newton's Law of Cooling

Tf=Ts+(Ti-Ts)e^(-kt)   where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid.  So we need to find k first.

200=68+(210-68)e^(-10k)

132=142e^(-10k)

132/142=e^(-10k)

ln(132/142)=-10k

k=-ln(132/142)/10

k≈0.0073  so 

T(t)=68+142e^(-0.0073t)  so how long until it reaches 180°?

180=68+142e^(-0.0073t)

112=142e^(-0.0073t)

112/142=e^(-0.0073t)

ln(112/142)=-0.0073t

t= -ln(112/142)/(0.0073)

t≈32.51 minutes


8 0
3 years ago
What is the domain and range of the step function with the equation below? <br> f(x) = -3[ x ]
TEA [102]

Answer:

C

Step-by-step explanation:

The domain is all real numbers, and the range is all integers that are multiples of 3. This is right I took the test.

7 0
3 years ago
Read 2 more answers
The line shown above has a y-intercept of? I need help fast please
Amiraneli [1.4K]

Answer:

y-intercept is 1

Step-by-step explanation:

The line connects to the y-axis at 1

6 0
2 years ago
A triangle has two angles that each measure 50° What is the measure of the third angle?
Lorico [155]

Answer:

80 or 2

Step-by-step explanation:

triangles = 180degrees

50+50+x=180

x=80

Hope this helps plz hit the crown :D

6 0
3 years ago
Evaluate and simplify <br><br> F(x)=3-6x^2 for f(x+3)
Olegator [25]

Insert x + 3 instead of x into the equation of the function f(x):

f(x) = 3 - 6x²

f(x + 3) = 3 - 6(x + 3)²

use (a + b)² = a² + 2ab + b²

= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)

use distributive property

= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54

combine like terms

= -6x² - 36x - 51

<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
4 0
3 years ago
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