Select all expressions that model the area of a square with a side length of a.

ValentinkaMS [17]

1)Rewrite the table:
70, 49, 34.3, 24.01, 11.807 {The original size of the wound =70}

2) write the quotient of each number by the number before & notice the value:

49/70= 0.7
34.3/49 = 0.7
24.01/34.3 =0.7
16.0807/24.01 = 0.67 ≈0.7
You notice this is a geometric progression with r 0.7
The last term in a GP =ar^⁽ⁿ⁻¹⁾

3) Domain and Range of this function:
Last term = a₁.rⁿ⁻¹. let last term be y==> f(n) = y =70(0.7)ⁿ⁻¹
or f(n) = y = 70(0.7)ⁿ / 0.7==> f(n) = [(0.7)ⁿ ]/ 100.
This is a decreasing exponential function where the coefficient
raised to n is < 1.
The domain is for all n>= 0.
When n→∞, f(n)→0; For n=0==>f(n) =70. So the range of f(n) is:<=70

7 0

3 years ago

Which choice is equivalent to the quotient shown here when x is greater than or equal to 0?

Dima020 [189]

Answer: OPTION C

Step-by-step explanation:

Remember that:

$\sqrt[n]{a^n}=a$

And the Product of powers property establishes that:

$a^m*a^n=a^{(mn)}$

Rewrite the expression:

$\frac{\sqrt{18x} }{\sqrt{32} }$

Descompose 18 and 32 into their prime factors:

$18=2*3*3=2*3^2\\32=2*2*2*2*2=2^5=2^4*2$

Substitute into the expression, then:

$\frac{\sqrt{(2*3^2)x} }{\sqrt{2^4*2} }$

Finally,simplifying, you get:

$\frac{3\sqrt{(2)x} }{2^2\sqrt{2} }=\frac{3\sqrt{2x}}{4\sqrt{2}}=\frac{(3)(\sqrt{x})(\sqrt{2})}{(4)(\sqrt{2})}= \frac{3\sqrt{x}}{4}$

8 0

3 years ago

A Local group claims that the police issue more than 60 speeding tickets a day in thire area. To prove their point, they randoml

MissTica

Answer:

The group's claim is not supported at 1% significance level.

Step-by-step explanation:

given that a local group claims that the police issue more than 60 speeding tickets a day in thire area

The data they collected for 2 weeks is given below:

70 48 41 68 69 55 70

57 60 83 32 60 72 58

$\bar x = 60.2\\s = 12.9\\n=14$

Std error of mean = $\frac{12.9}{\sqrt{14} } \\=3.4477$

$H_0: \bar x=60\\H_a: \bar x >60$

(Right tailed test at 1% significance level)

Mean difference = 0.10

Test statistic t with df 13 = mean difference/std error

= 0.029

p value = 0.4886

Since p >0.01, we accept null hypothesis

The group's claim is not supported at 1% significance level.

7 0

3 years ago

Which inequality is true? 1.5 greater-than 2 and one-half

Travka [436]

The inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have inequalities given:

$1.5 > 2\dfrac{1}{2}$

or

1.5 > 2.5 (false)

1/2 > 0.5

0.5 > 0.5 (false)

-2.5 > -1.5 (false)

$-3 \dfrac{1}{2} > -4.5$

-3.5 > -4.5 (true)

Thus, the inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

7 0

1 year ago

What do you do when you must solve a system of equations by elimination but all of the coefficients on the variables are differe

N76 [4]

<span>The coefficients are of no consequence. Just find a way to make it what you want. Please provide an example of what is troubling you and why you think it is trickier than those you already have solved.</span>

3 0

3 years ago