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3 years ago

7

A raised gardening bed contains 252 cubic feet of dirt. The bed is 6 feet wide and 8 feet long. How deep is the dirt?

2 answers:

Stels [109]3 years ago

7 0

Answer:

First of all I love your profile picture!

Step-by-step explanation:

l*w*h=252

252/6=42

42/8=5.25

So the gardening bed is 5.25 feet deep...

Hope this helps and Merry early Christmas!

ikadub [295]3 years ago

3 0

Answer: 5.25 feet deep

Step-by-step explanation: multiply 6 × 8 to get 48, divide 48 from 252 to get 5.25

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Intersection point of Y=logx and y=1/2log(x+1)

GalinKa [24]

Answer:

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

The Problem:

What is the intersection point of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ ?

Step-by-step explanation:

To find the intersection of $y=\log(x)$ and $y=\frac{1}{2}\log(x+1)$ , we will need to find when they have a common point; when their $x$ and $y$ are the same.

Let's start with setting the $y$ 's equal to find those $x$ 's for which the $y$ 's are the same.

$\log(x)=\frac{1}{2}\log(x+1)$

By power rule:

$\log(x)=\log((x+1)^\frac{1}{2})$

Since $\log(u)=\log(v)$ implies $u=v$ :

$x=(x+1)^\frac{1}{2}$

Squaring both sides to get rid of the fraction exponent:

$x^2=x+1$

This is a quadratic equation.

Subtract $(x+1)$ on both sides:

$x^2-(x+1)=0$

$x^2-x-1=0$

Comparing this to $ax^2+bx+c=0$ we see the following:

$a=1$

$b=-1$

$c=-1$

Let's plug them into the quadratic formula:

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

$x=\frac{1 \pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

$x=\frac{1 \pm \sqrt{1+4}}{2}$

$x=\frac{1 \pm \sqrt{5}}{2}$

So we have the solutions to the quadratic equation are:

$x=\frac{1+\sqrt{5}}{2}$ or $x=\frac{1-\sqrt{5}}{2}$ .

The second solution definitely gives at least one of the logarithm equation problems.

Example: $\log(x)$ has problems when $x \le 0$ and so the second solution is a problem.

So the $x$ where the equations intersect is at $x=\frac{1+\sqrt{5}}{2}$ .

Let's find the $y$ -coordinate.

You may use either equation.

I choose $y=\log(x)$ .

$y=\log(\frac{1+\sqrt{5}}{2})$

The intersection is $(\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2})$ .

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Find 51* 49 USING MENTAL MATH'

Nesterboy [21]

I used mental math and it took a long time, but I got the answer of 2,499.

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In baseball, a player's batting average is calculated by dividing the number of hits by the numbers of at-bats. If player A's ba

Anna11 [10]

Average = no of hits / no of at-bats
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3 years ago

The table shows the coordinates of four points on a line.

kondor19780726 [428]

Answer:f is slope

Step-by-step explanation:

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3 years ago

an article when sold at a profit of 5% yields rupees 50 more than when sold at a loss of 5% what was the cost price of the artic

ziro4ka [17]

I'm going to assume that the question should say “at a profit of 5%”.

Restate question in the form of a equation.

Let C = the cost price of the item.

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0.10 C = Rs 50

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I hope this help you

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3 years ago