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masya89 [10]
2 years ago
9

I need help with this question! thank u :)

Mathematics
1 answer:
cestrela7 [59]2 years ago
6 0
Presumably d meanst distance and t means time.

When t = 1, d = 2.5
When t = 3, d = 4

d = mt + b
2.5 = m + b [t = 1]
4.0 = 3m + b [t = 2]
1.5 = 2m [subtract]
m = .75 = slope
b = 1.75 = d-intercept
d = .75t + 1.75
d = 15/4 + 7/4 [t = 5]
d = 22/4 = 5.5 m from sensor
You might be interested in
Find the equation of the line that passes through point A (1,7) and B (-3, -1)
amid [387]

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( x_{1}, y_{1} ) & ( x_{2}, y_{2} )-

 y - y_{1}  = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }   ( x - x_{1}  )

i.e. <em> y - 7= \frac{- 1 - 7}{ -3-1}  ( x- 1)</em>

<em>       y - 7 =  \frac{- 8}{- 4} ( x -1)</em>

<em>       y - 7 =  2 ( x - 1) </em>

<em>       y - 7  =   2  x - 2</em>

<em>       2 x - y + 5 = 0</em>

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1)  is 2 x - y  + 5 = 0.

6 0
3 years ago
Three consecutive integers have a sum of 56. what are the three integers
denis23 [38]

Answer:

impossible

Step-by-step explanation:

X + X + 1 + X + 2 = 56. To solve for X, you first add the integers together and the X variables together. Then you subtract 3 from each side, followed by dividing by 3 on each side. ...

3X + 3 = 56. 3X + 3 - 3 = 56 - 3.

3X = 53. 3X/3 = 53/3.

X = 17 2/3. Since 17 2/3 is not an integer, there is no true answer to this problem.

8 0
3 years ago
Pedro deposited $7,350 into a savings account 21 years ago. The account has an interest rate of 4.5% and the balance is currentl
Licemer1 [7]
The interest is compounded quarterly because the formula is
A=p (1+r/k)^kt
A it's 18810.67 but I will assume it's unknown ?
P present value 7350
R interest rate 0.045
K compounded quarterly 4
Now solve the formula as the interest is compoundedquarterly
A=7,350×(1+0.045÷4)^(4×21)
A=18,810.67

So the answer is quarterly
5 0
3 years ago
Mike put 304 baseballs into 8 trash bins. He put the same number of baseballs in each bin. He took 5 trash bins of baseballs to
Solnce55 [7]

Answer:

190 Baseballs

Step-by-step explanation:

Since he put 304 baseballs into 8 trash cans with an equal amt. in each,

--> we do 304/8 to find how much baseballs we put in each

=> 304/8 = 38

Now, we takes 5 of these 38 trash cans filled with balls to the field

--> we would do <em>5 x 38 => 5 x 38 = 190</em>

and Thus, we have our answer of <u>190 baseballs</u>

Hope this helps!

3 0
2 years ago
Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.
svp [43]

Answer:

5sqrt(5) = q

-5sqrt(5) = q

Step-by-step explanation:

f(q) = q^2 -125

To find the roots set the equation equal to zero

0 = q^2 -125

Add 125 to each side

125 = q^2 -125+125

125 = q^2

Take the square root of each side

±sqrt(125) = sqrt(q^2)

±sqrt( 5*25) = q

±sqrt( 25)* sqrt(5) = q

±5* sqrt(5) = q

±5sqrt(5) = q

7 0
2 years ago
Read 2 more answers
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