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Dima020 [189]
3 years ago
9

The changing speed of a car is modeled by the function S(t) = −35t + 30, where t is time in seconds. Interpret the model

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

The car has an initial speed of 30 units and is slowing down by 35 units per second ⇒ answer C

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

  • m is the rat of change
  • b is the initial value

The changing speed of a car is modeled by the function s(t) = -35t + 30, where t is time in seconds.

We need to interpret the model

∵ The changing speed of a car is modeled by s(t) = -35t + 30

- Compare between the model and the form of the linear function

∴ m = -35 and b = 30

∴ The initial speed is 30 units

∴ The speed is changing by -35 units per second

- If the value of change of the speed is negative, means the

  car is slowing down by this rate

∴ The car is slowing down by 35 units per second

The car has an initial speed of 30 units and is slowing down by 35 units per second

Learn more:

You can learn more about linear function in brainly.com/question/4326955

#LearnwithBrainly

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Percent of change 125 is increased to 200
Montano1993 [528]

Answer:

60

Step-by-Step Explanation:

(200-125):125*100 =

(200:125-1)*100 =

160-100 = 60

Now we have: What is the percentage increase/decrease from 125 to 200 = 60

6 0
2 years ago
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Expand 3(n+6)<br> This for the test
MrRa [10]

Step-by-step explanation:

expanded = 3n + 18

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8 0
2 years ago
A process produces batches of a chemical whose impurity concentrations follow a normal distribution with a variance of175. A ran
Tom [10]

Answer:

the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)

Step-by-step explanation:

since the variance  S² of the batch follows a normal distribution , then for a sample n of  20 distributions , then the random variable Z:

Z= S²*(n-1)/σ²

follows a χ² ( chi-squared) distribution with (n-1) degrees of freedom

since

S² > 3.10 , σ²= 1.75 , n= 20

thus

Z > 33.65

then from χ² distribution tables:

P(Z > 33.65) = 0.02020

therefore the probability that the sample variance exceeds 3.10 is 0.02020 ( 2,02%)

8 0
3 years ago
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Tickets for a school play sold for $7.50 for each adult and $3.00 for each child. The total receipts for 118 tickets totaled $69
NeX [460]
X= number of adult tickets
y=number of child tickets.
we can suggest this system of equations: 
x+y=118                 ⇒x=118-y
7.5x+3y=696

we can solve this system of equations by substitution method:
7.5(118-y)+3y=696
885-7.5y+3y=696
-4.5y=-189
y=-189/-4.5
y=42

x=118-y
x=118-42
x=76

Answer: the number of adult tickets sold was 76. 
7 0
3 years ago
Find the area of the shaded polygons:
tigry1 [53]

Answer:

10

4

Step-by-step explanation:

Purple: This makes two trapezoids. A=(a+b)/2 times h

1st = (4+1)/2 x 1 = 2.5  

2nd = (4+1)/2 x 3 = 5/2 x 3 = 2.5x3=7.5

Total = 2.5+7.5=10

Green: if you draw a line down the center, you can divide these into two more manageable triangles. A=1/2bh

1st = 1/2x2x2 = 2

2nd = 1/2x2x2 = 2

Total = 2+2=4

6 0
3 years ago
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