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3 years ago

13

A canoe rental service charges a $20 transportation fee and $30 an hour to rent a canoe. Find the slope and y-intercept for the

data.
slope:
y-intercept:

2 answers:

Alona [7]3 years ago

6 0

Answer:

google

Step-by-step explanation:

dgodsl,fdrgefsdfvr34ewf

Alex_Xolod [135]3 years ago

4 0

Answer:

y = $20x + $30

Step-by-step explanation:

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It is difficult to override a presidential veto?Why do you think is it difficult? Do you think thisgood thing? Why or why not?

Vanyuwa [196]

It is difficult to overthrow a presidential veto because each house has to have a two-thirds majority vote to overthrow The veto. it is difficult because 2/3 is more than 1/2 and it has to be in each house so it is very difficult. I think this is a good thing because if Congress wanted to pass a bill the president did not like then it is hard for them to pass it and the president is the leader so he should make the big decisions.

3 0

4 years ago

the sum of the interior angle in a polygon is 40,500° what is the number of sides in the regular polygon

larisa86 [58]

Answer:

227 sides

Step-by-step explanation:

The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:

40500 = 180(n-2)

225 = n-2

227 = n

Therefore, the number of sides in the regular polygon is 227.

4 0

2 years ago

We take a milk carton from the refrigerator and put it on the table at room temperature. We assume that the temperature of the c

Kisachek [45]

We can solve this problem using separation of variables.

Then apply the initial conditions

EXPLANATION

We were given the first order differential equation

$\frac{dT}{dt}=k(T-a)$

We now separate the time and the temperature variables as follows,

$\frac{dT}{T-a}=kdt$

Integrating both sides of the differential equation, we obtain;

$ln(T-a)=kt +c$

This natural logarithmic equation can be rewritten as;

$T-a=e^{kt +c}$

Applying the laws of exponents, we obtain,

$T-a=e^{kt}\times e^{c}$

$T-a=e^{c}e^{kt}$

We were given the initial conditions,

$T(0)=4$

Let us apply this condition to obtain;

$4-20=e^{c}e^{k(0)}$

$-16=e^{c}$

Now our equation, becomes

$T-a=-16e^{kt}$

or

$T=a-16e^{kt}$

When we substitute a=20,
we obtain,

$T=20-16e^{kt}$

b) We were also given that,

$T(5)=8$

Let us apply this condition again to find k.

$8=20-16e^{5k}$

This implied

$-12=-16e^{5k}$

$\frac{-12}{-16}=e^{5k}$

$\frac{3}{4}=e^{5k}$

We take logarithm to base e of both sides,

$ln(\frac{3}{4})=5k$

This implies that,

$\frac{ln(\frac{3}{4})}{5}=k$

$k=-0.2877$

After 15 minutes, the temperature will be,

$T=20-16e^{-0.2877\times 15}$

$T=20-0.21376$

$T=19.786$

After 15 minutes, the temperature is approximately 20°C

6 0

3 years ago

On a coordinate plane, DEF has vertices D(1,2), E(7,2)and F(1,9). What is the distance between point E and F?

notka56 [123]

Step-by-step explanation:

Using distance formula,

Let the distance between point E and F = ef,

$ef = \sqrt{{(7 - 1)}^{2} + {(2 - 9)}^{2} } \\ ef = \sqrt{85} \\ = 9.219544457$

8 0

3 years ago

Is this a statistical question? “How old are people who retire early” EXPLAIN

Free_Kalibri [48]

Answer:

no

Step-by-step explanation:

because it does not have what it needs to be considered a statistical question.

8 0

3 years ago

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