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2 years ago

Write the algebraic expression that is the model of 3 boxes labeled x, 2 boxes labeled y and 4 boxes without a label

Mathematics

1 answer:

tamaranim1 [39]2 years ago

4 0

2x+3y+4 would most likely be your answer

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What is the pattern of odd and even products in each row

andrew11 [14]

There isn't a picture of a pattern to go by.

5 0

2 years ago

What is the equation of a line perpendicular to y=-2/5X-1 that passes through (2,-8)

AysviL [449]

Answer:

$y=\frac{5}{2}x-13$

Step-by-step explanation:

Given the equation

$y=-\frac{2}{5}x-1$

comparing the equation with the slope-intercept form $y=mx+b$

Here,

m is the slope

b is the intercept

so the slope of the line is m = -2/5

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line,

so the slope of the perpendicular line will be: 5/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (2,-8) is:

$y-y_1=m\left(x-x_1\right)$

$y-\left(-8\right)=\frac{5}{2}\left(x-2\right)$

$y+8=\frac{5}{2}\left(x-2\right)$

subtract 8 from both sides

$y+8-8=\frac{5}{2}\left(x-2\right)-8$

$y=\frac{5}{2}x-13$

8 0

2 years ago

Lester orders a book for $35. He must pay a shipping charge of 12%. Show how to find 12% of $35 by using benchmark percents, the

Elis [28]

Answer:

$4.2

Step-by-step explanation:

1. 12%=0.12

2. 0.12 of $35 = 0.12 × $35

3. = $4.2

8 0

2 years ago

Serial numbers for a product are to be made using 3 letters followed by 4 digits. The letters are to be taken from the first let

Tpy6a [65]

Answer:

30,240 ways, if I am restricted to using A, B, and C for letters

Step-by-step explanation:

This uses Combinatorics from Discrete Math.

so.

3 letters and 4 digits.

26 letters from alphabet, but you want to choose first letters. no repeats...

Does this mean only letters A, B, and C ?

digits from 10 digits...

I imagine 7 empty slots , and the number of ways they occur together is by the product of the number of choices each box has.

3*2*1 * 10*9*8*7 = 6 * 5040 = 30,240 ways

3 0

2 years ago

The population of a county is growing at a rate of 9% per year, compounded continuously. How many years will it take for the pop

torisob [31]

Answer:

$t=15.4\ years$

Step-by-step explanation:

The exponential growth function compounded continuously is equal to

$A=P(e)^{rt}$

where

A is the final population

P is the initial population

r is the rate of growth in decimal

t is Number of years

e is the mathematical constant number

we have

$A=4x\\P=x\\ r=9\%=9/100=0.09$

substitute in the function above

$4x=x(e)^{0.09t}$

simplify

$4=(e)^{0.09t}$

Take natural log of both sides

$ln(4)=ln[(e)^{0.09t}]$

$ln(4)=0.09t(ln(e))$

$ln(e)=1$

$ln(4)=0.09t$

$t=ln(4)/0.09$

$t=15.4\ years$

8 0

3 years ago