All categories

3 years ago

Terry is skiing down a steep hill. Terry's elevation, E(t), in feet after t seconds is given by E(t)=2600−50t.

Mathematics

1 answer:

lesya692 [45]3 years ago

6 0

Answer:

Part 1) The equation tells us that Terry started at an elevation of 2,600 ft

Part 2) The elevation is decreasing by 50 feet each second

Step-by-step explanation:

we have

$E(t)=2,600-50t$

where

E(t) is Terry's elevation in feet

t is the time in seconds

Part 1) Find the E intercept of the equation

The E-intercept is the value of E when the value of t is equal to zero

For t=0

substitute

$E(0)=2,600-50(0)$

$E(0)=2,600\ ft$

therefore

The equation tells us that Terry started at an elevation of 2,600 ft

Part 2) Find the slope of the equation

we have

$E(t)=2,600-50t$

This is the equation of the line into slope intercept form

The slope m is equal to

$m=-50\ ft/sec$

The slope is negative, because is decreasing

therefore

The elevation is decreasing by 50 feet each second

You might be interested in

Could someone help me understand how to solve this?

monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula $I=P\cdot r\cdot t,$ where

I = interest

P = principal

r = rate (as decimal)

t = time.

4% account:

$P_1=x\\ \\r_1=0.04\\ \\t_1=1,$

then

$I_1=x\cdot 0.04\cdot 1=0.04x$

5% account:

$P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,$

then

$I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)$

You have earned $69.50 in total, so

$I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950$

Amount in 4% account: $550

Amount in 5% account: $950

8 0

3 years ago

2) Solve the System of Equations using Substitution. (5 points) -3x+2y=12 x=2y-8

Tems11 [23]

Answer:

x= -2 and y= 3

Step-by-step explanation:

since x = 2y -8, substitute this in the first equation

Thus, -3(2y-8) + 2y =12

-6y+24+2y=12

-6y+2y=12-24

-4y=-12

y=3

put the value of y in the second equation,

x=2y-8

x=2(3)-8

x=6-8

x=-2

So, x=-2. y=3

5 0

3 years ago

Find the measure of angle t

natima [27]

$\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }$

$\large\underline{ \boxed{ \sf{✰\:Important\: point's }}}$

➢Given two lines are intersecting lines
➢ as it's clearly known when two or more lines meet each other at a specific points is said to be as intersecting lines nd they must be having a common point
➢Here angle t and angle 120⁰ forms adjacent angles
and sum sum of adjacent angles is 180⁰

${ \rule{70mm}{2.9pt}}$

$\underline{ \boxed{ \sf{✵\: let's\: solve\:✵}}}$

$\sf ➛\angle \: 120 \degree + \angle \:t = 180\degree \\ \sf ➛\angle \:t = 180 \degree - \angle \:120 \degree \\ \sf ➛\angle \: t = \:60 \degree$

${ \rule{70mm}{2.9pt}}$

$\boxed{✛\underline{ \boxed{ \sf{ \: \angle \: t = 60 \degree \: }}}✛}$

Hope it helps !

5 0

2 years ago

A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route o

Fofino [41]

The answer is -|0.35 t -14| +14

Step-by-step explanation:

The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.

7 0

3 years ago

Please help if you can, it's due soon :)

mel-nik [20]

Answer:

<SDQ

Step-by-step explanation:

Eg if a = b, b = c, then a = c

8 0

3 years ago