All categories

3 years ago

Question#1 please. Thankyou

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

5 0

The area of a rectangle is L x W, so 9(5+x) is the formula for the area in factored form. It can be simplified to 45+9x

You might be interested in

The average salary for a doctorate is 39,000 less than twice that of someone with a bachelor's degree. Combined, a people (one w

tester [92]

Answer:

doctorate salary: d = $71,000

bachelor salary: b = $55,000

Step-by-step explanation:

doctorate salary: d

bachelor salary: b

relationship between b and d: d = 2b - $39,000

Unfortunately, your "1 + 126,000" could not be correct. I'm going to assume that the total of the two salaries is $126,000. If that's the case, then:

bachelor salary + (2 times bachelor salary less $39,000) = $126,000. In symbols,

b + 2b - $39,000 = $126,000

Consolidating the 'b' terms results in 3b - $39,000 = $126,000, and so:

3b = $126,000 + $39,000 = $165,000

Dividing both sides by 3 yields the bachelor salary: b = $55,000

Then the doctoral salary is 2b - $39,000 = 2($55,000) - $39,000, or $71,000.

Check: Does b + (2b - $39,000) = $126,000? Yes.

Then the doctoral salary is d = $103,000, and the bachelor salary $29,000

6 0

2 years ago

A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes,

olga55 [171]

The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers

The correlation coefficient is 0.53

<h3>How to calculate the correlation coefficient</h3>

The correlation coefficient (r) is calculated as:

$r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}$

Using the given parameters, we have:

$r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}$

Evaluate the exponents

$r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}$

Evaluate the products

$r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}$

Evaluate the differences

$r = \frac{19168}{\sqrt{[396411*3264}}$

Evaluate the product

$r = \frac{19168}{\sqrt{1293885504}}$

Evaluate the root

$r = \frac{19168}{35970.6}$

Evaluate the quotient

$r = 0.53$

Hence, the correlation coefficient is 0.53

Read more about correlation coefficient at:

brainly.com/question/1564293

8 0

2 years ago

Find the distance between the two points in simplest radical form.<br> (3,9)and (0,2)

Aleks04 [339]

Answer:

7.62

Step-by-step explanation:

use distance formula

6 0

2 years ago

Put -3x+2y=10 into y=mx+b

Natasha2012 [34]

Answer:

y=3/2x+5

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Solve for x by completing the square: x2 - 12x + 11 = 0

sineoko [7]

Answer:

Step-by-step explanation:

x² - 12x + 11 = 0 ( subtract 11 from both sides )

x² - 12x = - 11

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 11 + 36

(x - 6)² = 25 ( take square root of both sides )

x - 6 = ± $\sqrt{25}$ = ± 5 ( add 6 to both sides )

x = 6 ± 5

Then

x = 6 - 5 = 1 ⇒ (1, 0 )

x = 6 + 5 = 11 ⇒ (11, 0 )

6 0

2 years ago