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2 years ago

11

A giant bamboo plant grew an average of 18 centimeters per year the botanist started measuring the plant when it was 5 centimete

rs tall if y represent the number of years the botanist has measured the plant what expression represents its height

1 answer:

Yanka [14]2 years ago

4 0

The answer to your question would be
Height=5cm+
(18cm)*(y)

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Which are the solutions of x2 = –5x + 8? StartFraction negative 5 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFract

serg [7]

Answer:

$x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}$

Step-by-step explanation:

Given:

The equation to solve is given as:

$x^2=-5x+8$

Rearrange the given equation in standard form $ax^2+bx +c =0$ , where, $a,\ b,\ and\ c$ are constants.

Therefore, we add $5x-8$ on both sides to get,

$x^2+5x-8=0$

Here, $a=1,b=5,c=-8$

The solution of the above equation is determined using the quadratic formula which is given as:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Plug in $a=1,b=5,c=-8$ and solve for $x$ .

$x=\frac{-5\pm \sqrt{5^2-4(1)(-8)}}{2(1)}\\x=\frac{-5\pm \sqrt{25+32}}{2}\\x=\frac{-5\pm \sqrt{57}}{2}\\\\\\\therefore x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}$

Therefore, the solutions are:

$x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}$

4 0

2 years ago

Read 2 more answers

Wendy jogs a 5.5-mile route in the city with her running club once a week. She also jogs a nature trail near her home once a wee

insens350 [35]

Answer:

Wendy jogs 13.75 mile in all each week

Step-by-step explanation:

To determine how many miles Wendy jogs in all each week,

we will sum the distance she jogs in the city with her running club in a week to the distance she jogs along the nature trail near her home in a week.

The distance she jugs with her running club = 5.5 mile.

Now, we will determine the distance of the nature trail near her home.

From the question, the nature trail is 1.5 times as long as the route in the city.

Let the distance of the nature trail = $x$

and the distance of the route in the city be $y$

Hence, we can write that

$x = 1.5 y$

distance of the route in the city, $y$ = 5.5 mile

∴ $x = 1.5 \times 5.5$

$x =$ 8.25 miles

Hence, the nature trail is 8.25 mile

Then, the number of miles Wendy jogs in all each week is

5.5 mile + 8.25 mile = 13.75 mile

Hence, Wendy jogs 13.75 mile in all each week

5 0

2 years ago

Candace leaves her house and starts jogging at a pace of 480 feet per minute. Five minutes later, her brother runs after her at

Elenna [48]

Answer:

The answer to your question is time = 20 min

Step-by-step explanation:

Data

Candace = 480 ft/min

time = 5 min

Brother = 660 ft/min

Process

1.- Calculate the distance traveled by Candace in 5 min

distance = speed xtime

= 480 x 5

= 2400 ft

2.- Write the equations to help solve the problem

Candace distance = 2400 + 480t

Brother distance = 600t

3.- Solve by equality

2400 + 480t = 600t

2400 = 600t - 480t

2400 = 120t

t = 2400/120

t = 20 min

4.- I will solve the equation given

480t = 660(t - 112112)

480t - 660t = -112112

-120t = -112112

t = -112112/-120

t = 934 h I think there is a mistake in the formula you

wrote.

7 0

2 years ago

For every $10 Glen earns, his parents

irga5000 [103]

10-2 = 8

He can spend $8

$8/$10 = 0.80

0.80 x 100 = 80 %

He can spend 80%

8 0

1 year ago

Read 2 more answers

1. In a study on the likability of comedians, 10 participants observed one of two comedians (one who was humorous and one who wa

garri49 [273]

Answer:

a. 84 < n + (n + 2) + (n + 4) < 96

b. 26 < n < 30

step-by-step explanation:

using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).

since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:

84 < n + (n + 2) + (n + 4) < 96

in order to solve for 'n', we must first combine like terms:

84 < 3n + 6 < 96

subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90

divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.

7 0

2 years ago