The perimeter of the garden shown is 6x + 2 units. find the length of the missing side

Identify the slope that goes through the two given coordinate points, -3,0 and 3,2. A. -3

nirvana33 [79]

1) with the the following equation you can find the slope having two points

m = Y2-Y1/X2-X1 , A(-3,0) B(3,2)

m= 2-(0) / 3-(-3) m = 2/6 = 1/3, the correct option is C

5 0

3 years ago

Dale has $1,000 to invest. He has a goal to have $2,400 in this investment in 12 years. At what annual rate compounded continuou

Hatshy [7]

Answer:

9%

Step-by-step explanation:

Given that

The invested amount is $1,000

The future value is $2,400

The time period is 12 years

We need to find out the annual rate that compounded continously

So,

As we know that

Amount = Present value × e^(rate × time)

$2,500 = $1,000 × e^(rate × 12)

2.5 = e^(rate × 12)

ln 2.5 = 10r

ln 2.5 ÷ 10 = r

r = 9%

3 0

3 years ago

Tell me if im wrong .. 988 divided by 5 = 197..

Ainat [17]

Answer:

197.6

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Evaluate(-4+3)-(2-6)=

arlik [135]

Answer: 3

Step-by-step explanation:

Simplify the expression.

(-4+3) - (2-6)

-4+3 = -1

2-6 = -4

Subtract: -1 - (-4) = 3

3 0

4 years ago

An article reported the following data on oxygen consumption (mL/kg/min) for a sample of ten firefighters performing a fire-supp

nasty-shy [4]

Answer:

a) Range = 25.6

b) Variance = 48.1446

c) s = 6.9386

d) See below

Step-by-step explanation:

(a) the sample range

To obtain the sample range, we must sort the data increasingly :

23.7, 26.3, 28.3, 28.7, 29.6, 29.8, 30.1, 31, 33.5, 49.3

Then, find the distance between the largest and the lowest

Range = 49.3 - 23.7 = 25.6

(b) the sample variance $s^2$ from the definition

In order to find the variance from the definition, we need first the mean. The mean is defined as the average

$\bar x=\displaystyle\frac{\displaystyle\sum_{i=1}^{n}x_i}{n}$

where the $x_i$ are the values of the data collected and n=10 the size of the sample.

So, the mean is

$\bar x=31.03$

Now, the variance of the sample is defined as

$s^2=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}{n-1}$

and we have that the variance is

$s^2=48.1446$

(c) the sample standard deviation

The sample standard deviation is nothing but the square root of the variance

$s=\sqrt{48.1446}=6.9386$

d) $s^2$ using the shortcut method

The shortcut method figures out the variance without having to compute the mean. The formula is

$s^2=\frac{n\sum x_i^2-(\sum x_i)^2}{n(n-1)}$

where n=10 is the sample size .

So, using the shortcut method,

$s^2=\frac{10*10,061.91-96,286.09}{10*9}=48.1446$

8 0

3 years ago