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3 years ago

9

Krista is building a pen for her bunny. She's planning to make it 5 ft long and 4 1/2 ft wide. She would like to build one with

an area 3 times as big as that. But she doesn't have the room. How long would the pen be if she could make one that size?

1 answer:

pogonyaev3 years ago

7 0

Answer:

The pen would be <u>15 feet long</u>.

Step-by-step explanation:

5x3=15

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Help with Algebra 2: 1. <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B7%5D%7Bx%5E5%7D%20%7D%7B%5Csqrt%5B4%5D%7Bx%5E2%7D%

Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

1. Given the expression

$\dfrac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }$

Note that

$\sqrt[7]{x^5}=x^{\frac{5}{7}} \\ \\\sqrt[4]{x^2}=x^{\frac{2}{4}}=x^{\frac{1}{2}}$

When dividing $\sqrt[7]{x^5}$ by $\sqrt[4]{x^2},$ we have to subtract powers (we cannot subtract 4 from 7, because then we get another expression), so

$\dfrac{5}{7}-\dfrac{2}{4}=\dfrac{5}{7}-\dfrac{1}{2}=\dfrac{5\cdot 2-1\cdot 7}{14}=\dfrac{3}{14}$

and the result is $x^{\frac{3}{14}}=\sqrt[14]{x^3}$

2. Given equation $3\sqrt[4]{(x-2)^3} -4=20$

Add 4:

$3\sqrt[4]{(x-2)^3} -4+4=20+4\\ \\3\sqrt[4]{(x-2)^3}=24$

Divide by 3:

$\sqrt[4]{(x-2)^3} =8$

Rewrite the equation as:

$(x-2)^{\frac{3}{4}}=8\\ \\(x-2)^{\frac{3}{4}}=2^3$

Hence,

$\left((x-2)^{\frac{3}{4}}\right)^{\frac{4}{3}}=(2^3)^{\frac{4}{3}}\\ \\x-2=2^{3\cdot \frac{4}{3}}\\ \\x-2=2^4\\ \\x-2=16\\ \\x-2+2=16+2\\ \\x=18$

3 0

3 years ago

PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 50 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE RE

saw5 [17]

Answer: This is very little points for this but here we go...

A marine biologist is studying the growth of a particular species of fish

: When the marine biologist concluded her study, the length of the fish was approximately 9.19 cm

To Find : reasonable domain to plot the growth function

What does the y-intercept of the graph of the function f(m) represent?

average rate of change of the function f(m) from m = 1 to m = 9,

Solution:

m = 0

=> f(0) = 5(1.07)⁰ = 5 cm

the length of the fish was approximately 9.19 cm.

=>

=>

=> m = 9

Domain = [0 , 9 ]

reasonable domain to plot the growth function = [0 , 9 ]

y-intercept of the graph of the function f(m) represent represent initial length of fish = 5 cm

average rate of change of the function f(m) from m = 1 to m = 9

m = 1 => f(1) = 5(1.07) = 5.35 cm

m = 9 => f(9) = 5(1.07)⁹ = 9.19 cm

Change in 9 - 1 = 8 months = 9.19 - 5.35 = 3.84 cm

average rate of change of the function f(m) from m = 1 to m = 9,

= (3.84/8)

= 0.48 cm per month

Step-by-step explanation:

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3 years ago

Translate the shape A four squares right and two squares down.

Kryger [21]

The answer is:
(1,4) into (5,2)
(3,1) into (7,-1)
(1,1) into (5,-1)

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2 years ago

What is the momentum of each hockey player? Hockey player 1 has a mass of 65 kg and a velocity of 3.8 m/s

DaniilM [7]

Answer:

Momentum of hocking player $1:$ $247\ kg\ m/s$

Hockey player $2:$ $=249.4\ kg\ m/s$

Step-by-step explanation:

For first hockey player :

Given that

mass (m) $=65\ kg$

Velocity (v) $=3.8\ m/s$

$p=mv\................(1)$

where $p$ is momentum

put the value in equation (1)

$p=65\times3.8\\\\p=247kg\times m/s$

For second hockey player :

Given that

mass (m) $=58\ kg$

velocity (v) $=4.3\ m/s$

$p=mv\ ...............(2)$

Where $p$ is momentum

put the value in equation (2)

$p=58\times4.3\\p=249.4\ kg\times m/s$

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Currently I have a 70.50 (D+) in my french class and my final exam for it is tomorrow. What is the minimum possible grade I can

Llana [10]

Minimal grade to barely pass would be a C, but you should review and go for at least a B or B+ if you want to pass with a C in the class as a whole.

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3 years ago