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JulijaS [17]
3 years ago
15

Price of automobile= $3,000

Mathematics
1 answer:
AysviL [449]3 years ago
7 0

About 36000 because if u multiply 3000 the price of the automobile by number of payments 12 you get 36000

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Daniel runs 40/5 miles in 124/₁ minutes. What is the unit rate in terms of miles per minute? What the answer:
sasho [114]

Using the given information, the unit rate is 0.0645 miles/minute

<h3>Calculating rate </h3>

From the question, we are to determine the unit rate

From the given information,

Daniel runs 40/5 miles in 124 minutes

That is,

Distance = 40/5 miles = 8 miles  

Time = 124 minutes

Using the formula,

Rate = Distance / Time

Rate = 8 miles / 124 minutes

Rate = 0.0645 miles/minute

Hence, the unit rate is 0.0645 miles/minute

Learn more on Calculating rate here: brainly.com/question/1090517

#SPJ1

3 0
2 years ago
Read 2 more answers
An object is heated to 100°. It is left to cool in a room that
stepladder [879]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

t is the time (here, it's in minutes)

If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

T(t) = 80

T₁ = 30

T₀ = 100

t = 5

k = ?

Filling in to solve for k:

80=30+(100-30)e^{5k} which simplifies to

50=70e^{5k} Divide both sides by 70 to get

\frac{50}{70}=e^{5k} and take the natural log of both sides:

ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

Divide both sides by 5 to get that

k = -.0672944473

Now that we have a value for k, we can sub that in to solve for T(20):

T(20)=30+(100-30)e^{-.0672944473(20)} which simplifies to

T(20)=30+70e^{-1.345888946}

On your calculator, raise e to that power and multiply that number by 70:

T(20)= 30 + 70(.260308205) and

T(20) = 30 + 18.22157435 so

T(20) = 48.2°

Now we can use that k value to find out when (time) the temp of the object cools to 35°:

T(t) = 35

T₁ = 30

T₀ = 100

k = -.0672944473

t = ?

35=30+100-30)e^{-.0672944473t} which simplifies to

5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

ln(\frac{5}{70})=ln(e^{-.0672944473t}) which simplifies to

-2.63905733 = -.0672944473t

Divide to get

t = 39.2 minutes

3 0
3 years ago
Solve the equation. Show your work. 3x – 10 = 5x + 32
liq [111]

Answer:

-21 =x

Step-by-step explanation:

3x – 10 = 5x + 32

Subtract 3x from each side

3x-3x – 10 = 5x-3x + 32

-10 =2x +32

Subtract 32 from each side

-10 -32 = 2x+32-32

-42 = 2x

Divide each side by 2

-42/2 = 2x/2

-21 =x

4 0
3 years ago
Read 2 more answers
If sin x = .52 and cos x = .85, what is cot x?
lozanna [386]

Hi there


That's easy


All you have to know is that : cot x = cos x / sin x

cot x = .85 / .52 = 1.6346


I hope that's help:)

Any questions ? let me know

5 0
3 years ago
Read 2 more answers
I’m confused on this one
serious [3.7K]
The answer is 13.

Because this is a kite, the diagonals intersect perpendicularly or with a 90° angle.

In the triangle DIC, which is a right triangle, the legs are 5 and 12. To find the hypotenuse, we use Pythogarean theorem:
{a}^{2}  +  {b}^{2}  =  {c}^{2}
Plug in the givens:
{5}^{2}  +  {12}^{2}  =  {c}^{2}
Take the squares:
25 + 144 = 169  =  {c}^{2}
Take the square root of both sides:
\sqrt{169}  =   \sqrt{ {c}^{2} }  \\  \\ c = 13
We find the line segment DC. In the question it says "BD = DC". So BD is equal to 13.
5 0
3 years ago
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