How do you split 3/4 into 4

A window in the shape of a parallelogram has a base of 28 inches and a height of 71 inches. What is the area of the window?

Norma-Jean [14]

The area of the window is 1988 inches

6 0

4 years ago

The distances (in yards) for nine holes of a golf course are listed.

k0ka [10]

Answer:

A.) 358; 375

B.) 1074 ; 1125

C.) Both the mean and median values in feets could be obtained by just multiplying the values in yards by 3

D.) If we have our median and mean of thee original dataset in inches, we just divide the values by 36 to get our mean and median values in yard.

Step-by-step explanation:

Given the data (in yards)

Rearranged data : x (in yards) :

441, 531, 1008, 1080, 1125, 1179, 1224, 1512, 1566

Mean, m : Σx/n

ΣX = 3222 ; n = sample size, n = 9

m = 3222 / 9

m = 358

Median :

0.5(n +1) th term

0.5(9 + 1)th term

0.5(10) = 5th term = 375

Converting the data to feets :

147, 177, 336, 360, 375, 393, 408, 504, 522

1 yard = 3 feets

In Feets:

441, 531, 1008, 1080, 1125, 1179, 1224, 1512, 1566

Mean, m : Σx/n

ΣX = 9666 ; n = sample size, n = 9

m = 9666 / 9

m = 1074

Median :

0.5(n +1) th term

0.5(9 + 1)th term

0.5(10) = 5th term = 1125

C) Both the mean and median values in feets could be obtained by just multiplying the values in yards by 3

D.) since 1 yard = 36 inches

If we have our median and mean of thee original dataset in inches, we just divide the values by 36 to get our mean and median values in yard.

5 0

3 years ago

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

zimovet [89]

Answer:

x = 3

Step-by-step explanation:

This is hard to explain so i'll show you the work

3 0

4 years ago

Read 2 more answers

A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg.

Stella [2.4K]

The particular solution to the ordinary differential equation that describes the one-step disintegration of the isotope is equal to the function $A(t) = 10\cdot e^{-\frac{t}{1.443} }$ .

<h3>How to derive the equation of a radioactive decay </h3>

In this question we have a case of simple disintegration of an isotope, that is, that the <em>radioactive</em> isotope has only one stage of disintegration. This process is represented by the following <em>ordinary differential</em> equation:

$\frac{dA}{dt} = -\frac{t}{\tau}$ (1)

Where:

A - Amount of material, in kilograms
t - Time, in minutes
τ - Time constant, in minutes

The solution of this differential equation is:

$A(t) = A_{o}\cdot e^{-\frac{t}{\tau} }$ (2)

The <em>time</em> constant can be calculated from the half-life:

$\tau = \frac{t_{1/2}}{\ln 2}$ (3)

If we know that $t_{1/2} = 1\,min$ and $A_{o} = 10\,kg$ , then the particular solution of the differential equation is:

τ = (1 min)/ln 2

τ = 1.443 min

$A(t) = 10\cdot e^{-\frac{t}{1.443} }$

The particular solution to the ordinary differential equation that describes the one-step disintegration of the isotope is equal to the function $A(t) = 10\cdot e^{-\frac{t}{1.443} }$ .

To learn more on isotopes: brainly.com/question/12955625

#SPJ1

4 0

2 years ago

The number h and 1.4 are additive inverses.

STatiana [176]

We need to plot 1.4 and 1.4+h on the number line.

We know that h is the additive inverse of 1.4. The additive inverse of any number is the number which when added to the former number results in zero (0).

⇒ 1.4 + h = 0

⇒ h = -1.4

Hence, Sum = 0

Please refer to the attached image to see 'h', '1.4' and '1.4 + h' marked on the number line

7 0

3 years ago