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shusha [124]
2 years ago
12

Angel is driving home from a vacation. She is 400 miles from home. She drives an average rate of 50 mph until she gets home. Wri

te a function for this situation and then graph your function.
Mathematics
1 answer:
Debora [2.8K]2 years ago
5 0

Angel is driving home from a vacation. She is 400 miles from home. She drives an average rate of 50 mph until she gets home. Write a function for this situation and then graph your function the function for this situation can be solve using d = rt

Where d is the distance, r is the velocity and t is time

So the function d(t) = 50t

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1011+111 in binary form
Ann [662]

Answer:

10010

Step-by-step explanation:

1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0

111=1(2)^2+1(2)^1+1(2)^0

So 1011+111 gives us:

1(2)^3+0(2)^2+1(2)^1+1(2)^0

+

1(2)^2+1(2)^1+1(2)^0

-----------------------------------------------------

Combine like terms:

1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0

1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace 2^0 with 1 and 2 with (2)^1:

1(2)^3+1(2)^2+(2)^2+(2)^1(1)

I want a 2^0 number:

1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0

Combine like terms:

1(2)^3+2(2)^2+1(2)^1+0(2)^0

2(2)^2=2^3:

1(2)^3+2^3+1(2)^1+0(2)^0

Combine like terms:

2(2)^3+1(2)^1+0(2)^0

We can rewrite the first term by law of exponents:

2^4+1(2)^1+0(2)^0

1(2)^4+1(2)^1+0(2)^0

So the binary form is:

10010

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

      1     0     1      1

+            1      1      1

------------------------------

     (1)    (1)    (1)

      1     0     1      1

+            1      1      1

------------------------------

     1 0    0     1       0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0
3 years ago
Find the volume of this figure. round your answer to the nearest hundredth. if necessary<br><br>#8
ivann1987 [24]

Answer:

30 miles²

Step-by-step explanation:

To solve the area of the prism we have to multiply the area of the base * the height of the prism. The base of the prism is a right triangle.

<em>(b*h)÷2 = Area of a triangle</em>

<em />

<em>Base = 4</em>

<em>Height = 3</em>

<em>Now:</em>

<em>(4*3)/2 = 6 miles²</em>

<em />

<em>Now we have to multiply 6 miles² by 5 as our height.</em>

<em />

<em>We get 30 miles² as the volume of the figure.</em>

4 0
2 years ago
Help pls! if f(x) =6x-4, evaluate f(x)/-4 for x=8
irga5000 [103]
So first of all you need to plug in the x=8 into both equations which will make  the first equation be equals to 44 than plug in the x into the second equation and you will get 4 over -1 so in my opinion it should be b=44
5 0
3 years ago
Can you write down each rule for every table with inputs and outputs?
e-lub [12.9K]

Answer:

ok so the rule for the 1 one will be

6 0
3 years ago
2 7/15÷3 2/3= anyone k ow this
avanturin [10]
U times 2 and seven and divide that by 3 and then dive 3 by 2 and that should leave u with three numbers.
514 and 1.5 times those together and there u go
105
6 0
2 years ago
Read 2 more answers
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