MATHEMATICS HIGH SCHOOL

Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160160 meters away. After 33 seconds of driving, she was 8585 meters away from the safe zone. Let D(t)D(t) denote the distance to the safe zone DD (measured in meters) as a function of time tt (measured in seconds). Write the function's formula.

Answers

Answer 1

Answer:

Answer: The required function formula is,

D(t) = 160 - 25 t

Step-by-step explanation:

Given,

The total distance of her from the safe zone = 160 meters,

And, after 3 seconds she is 85 meters far away from the safe zone,

Thus, the total distance she covered in 3 seconds = 160 - 85 = 75 meters,

Since, she drove at a constant speed,

Also,

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

$\implies \text{Her speed}=(75)/(3)=25\text{ km/h}$

Thus, the distance she will cover in t seconds = 25 t

( Because, Distance = Speed × Time )

Hence, the total distance of her from the safe zone after t seconds, D(t) = 160 - 25t

Which is the required function formula.

Answer 2

Answer:

Kayden drives at a constant speed. The function D(t) can be represented as $D(t)=160-25t$ .

Given information:

Kayden is a stunt driver.

Total distance of safe zone is 160 m.

She drove with a constant speed.

After 3 seconds of driving, she was 85 meters away from the safe zone.

So, the distance traveled in 3 seconds will be 160-85=75 m.

Now, the speed of the driver will be,

$s=(distance)/(time)\ns=(75)/(3)\ns=25 \rm\; m/s$

The distance traveled in t seconds will be 25t.

So, the equation representing the given condition will be,

$D(t)=160-25t$

Therefore, the function D(t) can be represented as $D(t)=160-25t$ .

For more details, refer to the link:

brainly.com/question/23774048

Related Questions

A code is made up of a letter (A–Z) and two digits (0–9). The digit can be repeated. How many possible codes exist?26002604628
Is there a relationship between area or perimeter of a rectangle
Which equation is true when b = -4?A b/4 + 5.5 = 4.5B -54 + 2b = -46С 7b - 8 = -20D b/8 - 6 = -8
A school has $ 15,000 to spend on computer monitors the school plans to purchase 200 monitors for $89 each a teacher completes the calculations below and concludes that the has enough money to buy the monitors 200 times 89 = 200 times 8 + 200 times 9 = 1,600 +1,800 =3,400
Having trouble with trigonometry , please help.CSCx (1 + SINx) = 1 + CSCxprove the identity

Solve for x
64°
Х
45°

Answers

Answer:

x = 109

Step-by-step explanation:

64 + 45 = 109

180 - 109 = 71

180 - 71 = 109

The zeros of the function f(x) = (x + 2)^2 - 25 are(1) -2 and 5 (3) -5 and 2
(2) -3 and 7 (4) -7 and 3

Answers

$The\ zeros\ of\ a\ function\ f(x)\ is\ when\ f(x)=0.\n------------------------\nf(x)=(x+2)^2-25\nthe\ zeros,\ if\ f(x)=0\iff(x+2)^2-25=0\n\n(x+2)^2-5^2=0\ \ \ \ |use\ a^2-b^2=(a-b)(a+b)\n\n(x+2-5)(x+2+5)=0\n\n(x-3)(x+7)=0\iff x-3=0\ or\ x+7=0\n\nx-3=0\ \ \ |add\ 3\ to\ both\ sides\n\boxed{x=3}\nor\nx+7=0\ \ \ \ \ |subtract\ 7\ from\ both\ sides\n\boxed{x=-7}\n\nAnswer:\boxed{(4)\ -7\ and\ 3}$

f(x) = 0

_________________________________________________________

1)

İf x=-2,

$f(-2) = ((-2) + 2 ) ^(2) -25 = 0-25 = -25$

f(x) ≠ 0

If x= 5

$f(5) = (5+2)^(2) - 25 = 49 - 25 = 24$

f(x) ≠ 0
____________________________________________________________

2)

If x= -3

$f(-3) = ((-3) + 2) ^(2) - 25 = 1 -25 =-24$

f(x) ≠ 0

If x= 7

$f(7) = (7+2)^(2) - 25 = 81 - 25 = 56$

f(x) ≠ 0

___________________________________________________________

3)

If x= -5

$f(-5) = ((-5)+2)^(2) - 25 = 9-25 = -16$

f(x) ≠ 0

If x= 2

$f(2) = (2+2)^(2) - 25 = 16-25 = -9$

f(x) ≠ 0
_____________________________________________________________

4)

If x= -7

$f(-7) = ((-7) +2 )^(2) - 25 = 25-25 =0$

$f(x) =0$ ✔

If x= 3

$f(3) = (3+2)^(2) - 25 = 25-25 =0$

$f(x) =0$ ✔

_________________________________________________________

Answer: 4

Which side lengths could be used to form a triangle?10 cm, 20 cm, 10 cm

1 cm, 2 cm, 5 cm

14 cm, 8 cm, 5 cm

6 cm, 2 cm, 7 cm

Answers

6,2,7
1,2,1
Pretty sure but double check with someone else.

Write an equation of the line shown. Then use the equation to find the value of x when y=70.

Answers

Answer:

x = 9

Step-by-step explanation:

The slope would be 6

Y -int would be 16

Through this we can find out that the slope-intercept form is

y = 6x + 16

insert 70 into y

solve for x

70 = 6x + 16

54 = 6x

9 = x

The equation of the line is y = 4x + 18 and the value of x is 13

How to determine the equation of the line

From the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Using the points, we have

m + c = 22

4m + c = 40

When evaluated, we have

3m = 12

m = 4

So, we have

4 + c = 22

c = 18

Next, we have

y = 4x + 18

When y = 70, we have

4x + 18 = 70

Evaluate

x = 13

Hence, the value of x is 13

Answers

Answer:

Volume of the portion = 1.6 cubic inches

Step-by-step explanation:

Since, wooden dowel is in the shape of a cylinder,

Formula to be used to find the volume of the part Anna has cut from the dowel will be,

Volume = πr²h

Where r = radius of the cylinder or part of the wooden dowel

h = length of the portion

By substituting the values in the formula,

Volume = π(0.5)²(2)

= 0.5π

= 1.57 in³ ≈ 1.6 cubic inch

Therefore, volume of the portion will be 1.6 in³.

I need help with this one I’m stuck on it.

Answers

Answer:4.5

Step-by-step explanation:

Other Questions

How to put 40,023,032 in expanded form

Round this number 3.899 to the nearest hundredth

Sam borrows $1,000 from a bank that is charging eight percent simple interest per year. If he pays the loan back in six months, how much interest will he pay?

ΔBCD is rotated 80° clockwise about the origin to form ΔKLM. If m∠KLM=30° , what is m∠BCD?m∠BCD=30° m∠BCD=50° m∠BCD=80° m∠BCD=110°