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2 years ago

11

Benjamin’s garden is shaped like a rhombus the area of the garden is 336 ft. The height of the rhombus that represents his garde

n is 16 feet what is the base of the rhombus

1 answer:

Tasya [4]2 years ago

4 0

Answer: 21 ft

Step-by-step explanation:

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ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)

Delicious77 [7]

$remember$
$ln(x)=log_e(x)$
$and$
$log_x(a)-log_x(b)= log_x( \frac{a}{b} )$
$and$
$log_a(b)=c$ means $a^c=b$
$and$
$blog(a)=log(a^b)$

$so$

$ln(y+1)-ln(y)=1+3ln(x)$
$ln( \frac{y+1}{y} )=1+ln(x^3)$

$minus$ $ln(x^3)$ $from$ $both$ $sides$

$ln( \frac{y+1}{y}-ln(x^3) )=1$
$ln( \frac{y+1}{yx^3})=1$
$log_e( \frac{y+1}{yx^3})=1$

$translate$

$e^1=\frac{y+1}{yx^3}$
$e=\frac{y+1}{yx^3}$

$times$ $both$ $sides$ $by$ $yx^3$

$eyx^3=y+1$

$minus$ $y$ $from$ $both$ $sides$

$eyx^3-y=1$
$y(ex^3-1)=1$

$divide$ $both$ $sides$ $by$ $(ex³-1)$

$y= \frac{1}{ex^3-1}$

6 0

3 years ago

Read 2 more answers

Nancy’s morning routine involves getting dressed , eating breakfast, making her bed , and driving to work . Nancy spends 1/3 of

grin007 [14]

Answer: Nancy needs 26 minutes to driving to work.

Explanation:

Since we have given that

Time taken in eating breakfast = 10 minutes

Time taken in making her bed = 5 minutes

Let the total time taken by her in doing routine activities be x

Time taken in getting dressed is given by

$\frac{1}{3}x$

So, According to question,

$\frac{x}{3}+10+5=35\frac{1}{2}\\\\\frac{x}{3}+15=\frac{71}{2}\\\\\frac{x}{3}=\frac{71}{2}-15\\\\\frac{x}{3}=\frac{71-30}{2}=\frac{41}{2}\\\\x=\frac{123}{2}$

Now, we need to find the time taken in driving to work which is given by

$\frac{123}{{2}-\frac{71}{2}=\frac{52}{2}=26\ minutes$

Hence, Nancy needs 26 minutes to driving to work.

6 0

3 years ago

What are m and b in the linear equation y=30x + 20

UkoKoshka [18]

Answer:

m = 30, b = 20

Step-by-step explanation:

1. The equation is written in slope-intercept form, so it follows the following equation: y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.

2. As you can see, 30 is the value that took the place of m, and 20 is the value that took the place of b.

Therefore, m is 30 and b is 20.

4 0

3 years ago

Read 2 more answers

suppose the probability you will get an A in this class is .25 and the probability you will get a B is .50. What is the probabil

Ludmilka [50]

Answer:

75% chance

Step-by-step explanation:

Probability always adds to 1.00

Letter grades are always in the form A, B, C, D...

The grades above a C are A, which is a 25% chance and B, which has a 50% chance. Adding these up we get a 75% chance.

#LearnWithBrainly

3 0

2 years ago

Write an equation of the line that passes through the point (1,2) and<br> has the slope, m = 2.

alukav5142 [94]

the answer to this question is y=2x.

3 0

3 years ago