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elena-s [515]
2 years ago
6

What is an algebraic expression?​

Mathematics
1 answer:
Klio2033 [76]2 years ago
3 0

Answer: an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

Step-by-step explanation: In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.

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Find the interest earned and the balance of the account: P=$650 R=4% T=2 Years
Dmitry_Shevchenko [17]
I have no idea.... Try to ask your teacher or your parents
8 0
3 years ago
Baytown Village Stone Creations is making a custom stone bench. the recommended height for the bench is 18 in. the depth of the
Natalija [7]

Answer:

x = tex]5\frac{\textup{7}}{\textup{8}}\ in[/tex]

Step-by-step explanation:

Given:

Total height of the bench = 18 in

Depth of the stone bench = 3\frac{\textup{3}}{\textup{8}}\ in = \frac{\textup{27}}{\textup{8}}\ in  = 3.375 in

Measure of stones = 3\frac{\textup{1}}{\textup{2}}\ in = \frac{\textup{7}}{\textup{2}}\ in  = 3.5 in

measure of another stone =  5\frac{\textup{1}}{\textup{4}}\ in = \frac{\textup{21}}{\textup{4}}\ in  = 5.25 in

let the height of the third stone be 'x'

Now,

The total height of the bench = depth of bench + Measure of two stones + x

18 = 3.375 + 3.5 + 5.25 + x

or

x = 18 - 12.125

or

x = 5.875 in

or

x = tex]5\frac{\textup{7}}{\textup{8}}\ in[/tex]

6 0
3 years ago
g In R simulate a sample of size 20 from a normal distribution with mean µ = 50 and standard deviation σ = 6. Hint: Use rnorm(20
Illusion [34]

Answer:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501

Then we can find the mean and the standard deviation with the following formulas:

> mean(a)

[1] 50.72451

> sqrt(var(a))

[1] 7.470221

Step-by-step explanation:

For this case first we need to create the sample of size 20 for the following distribution:

X\sim N(\mu = 50, \sigma =6)

And we can use the following code: rnorm(20,50,6) and we got this output:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501

Then we can find the mean and the standard deviation with the following formulas:

> mean(a)

[1] 50.72451

> sqrt(var(a))

[1] 7.470221

5 0
3 years ago
The speed of sound in air is a linear function of the air temperature. When the air temperature is 10°C, the speed of sound is 3
Sergeu [11.5K]

9514 1404 393

Answer:

  process: substitute the given point values into the 2-point form of the equation for a line

Step-by-step explanation:

There are more than a half-dozen different forms of the equation for a line. They are useful for different purposes. One of them is the "two-point form".

Using x as the independent variable, and y as the dependent variable, the equation can be written as ...

  y -y1 = (y2 -y1)/(x2 -x1)/(x -x1)

where (x1, y1) and (x2, y2) are the two points.

__

Here, your two points are ...

  (t, s) = (10, 337) and (30, 349)

Using s in place of y, and t in place of x, these two points go into the formula like this:

  s -337 = (349 -337)/(30 -10)(t -10)

Simplifying the fraction, this is ...

  s -337 = (12/20)(t -10)

And writing it as a decimal, we get ...

  s -337 = 0.6(t -10)

_____

<em>Additional comments</em>

Adding y1 to both sides of the above form gives you ...

  y = (y2 -y1)/(x2 -x1)/(x -x1) +y1

This is the form I usually prefer to use, because it can lead directly to slope-intercept form. For this problem, the form shown above gets you to the answer you're looking for.

__

This "two-point form" is an expansion of the "point-slope form", which is ...

  y - k = m(x -h) . . . . . . . line with slope m through point (h, k)

where the equation for slope is ...

  m = (y2 -y1)/(x2 -x1)

and (x1, y1) is used instead of (h, k).

5 0
3 years ago
Read 2 more answers
#19 solve the equation. 5m + 4m = 72
Ganezh [65]
5m + 4m = 72

Combine like terms.

9m = 72

Divide both sides by 9.

m = 8
7 0
3 years ago
Read 2 more answers
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