Mathematics : asked on queenpaige2015

25.05.2022

- 3) Janel is a bungee-jumper preparing for a legally approved jump off of a bridge over water. Janel wants to just touch
the water on her jump. Janel's path of travel is represented by f(x) = 25x2 – 120x + 144. Janel will jump from the start,
z=0. How many meters will Janel travel laterally before she touches the water?

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09.07.2023, solved by verified expert

Sachin Kumar

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Chemistry, Q&A Expert, I am a Assistant Professor in Maharaj Singh College Saharanpur, Uttar Pradesh, India

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So f(x) is 0

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Mathematics

- 3) Janel is a bungee-jumper preparing for a legally approved jump off of a bridge over water. Janel wants to just touch the water on her jump. Janel s path of travel is represented by f(x) = 25x2 – 120x + 144. Janel will jump from the start, z=0. How many meters will Janel travel laterally before she touches the water?

Step-by-step answer

P Answered by Specialist

So f(x) is 0

$\\ \rm\hookrightarrow 25x^2-120x+144=0$

$\\ \rm\hookrightarrow (5x)^2-2(5x)(12)+12^2=0$

$\\ \rm\hookrightarrow (5x-12)^2=0$

$\\ \rm\hookrightarrow 5x-12=0$

$\\ \rm\hookrightarrow 5x=12$

$\\ \rm\hookrightarrow x=12/5$

$\\ \rm\hookrightarrow x=2.4m$

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

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P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

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P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

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P Answered by PhD

The answer is in the image

Mathematics

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

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P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Mathematics

Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103

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P Answered by PhD

The answer is in the image

Mathematics

Stefania pure 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl how many kiloliters are in the punch bowl

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P Answered by PhD

The answer is in the image

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

How much would the tip be if you left 18% on a 75.45 steak dinner?

Step-by-step answer

P Answered by PhD

tip=18% of 75.45

=18/100 * 75.45 = $13.581

Tip = $13.581

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