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4 years ago

What is the area of this rectangle ?

Mathematics

1 answer:

sashaice [31]4 years ago

7 0

The area of the rectangle is 66 ft^2.

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If the point (4,-2) is included in a direct variation relationship, which point also belongs in this direct variation? A. (-4,2)

IceJOKER [234]

Answer:

(-4,2) belongs in this direct variation.

Step-by-step explanation:

Let the direct variation relationship is expressed by the equation y = mx ........ (1), where x and y are in direct variation and k is the variation constant.

Now, the point (4,-2) is included in the direct variation relationship, then from equation (1) we get, -2 = 4m

⇒ $m = - \frac{1}{2}$

Therefore, the equation (1) becomes $y = - \frac{1}{2}x$

⇒ x + 2y = 0 ......... (2)

Now, from the given four options only the point (-4,2) satisfies the relation (2).

Hence, (-4,2) belongs in this direct variation. (Answer)

5 0

3 years ago

Elenas anut bought her a 150$ saving bond when she was born. When elena is 18 years old, the bond will have earned a 106% in int

SpyIntel [72]

Answer:

The Amount after 18 years is $66,942,391.5

Step-by-step explanation:

Given as :

The principal invested in saving bond = p = $150

The Time period for the bond = t = 18 years

The rate of interest applied on bond = 106%

Let The Amount after 18 years = $A

<u>Now, From compound interest</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = $150 × $(1+\dfrac{\textrm 106}{100})^{\textrm 18}$

Or, A = $150 × $(2.06)^{\textrm 18}$

Or, A = $150 × 446,282.61

∴ A = $66,942,391.5

So,The Amount after 18 years = A = $66,942,391.5

Hence,The Amount after 18 years is $66,942,391.5 Answer

7 0

3 years ago

Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers

eimsori [14]

The mean of sample x is 5.83

The standard deviation is 5.63

<h3>What is standard deviation?</h3>

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Frequency: 2 2 4 13 13 1

If x is the pair of sneakers owned of the frequency,

mean = 2+2+4+13+13+1/5

= 35/6

= 5.83

The standard deviation is equal to 5.63.

Learn more about this concept here:

brainly.com/question/18119796

#SPJ1

8 0

3 years ago

Simplify the algebraic expression: 16 - 4(3x - 5)

swat32

Step-by-step explanation:

16 - 4(3x - 5)

16 - 12x + 20

12x = 16 + 20

12x = 36

x = 36/12

x = 3

3 0

3 years ago

Read 2 more answers

What is a decimal that is equivalent to the expression (3 x 10) + (4•1) + ( 7 • 1/10) + ( 5• 1/100)

riadik2000 [5.3K]

The decimal form of the answer to that expression is

34.75

6 0

3 years ago