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4 years ago

Which inequality represents the interval of tenths that the square root of 14 lies between?

Mathematics

1 answer:

tresset_1 [31]4 years ago

8 0

Answer:

3.7 < √14 < 3.8

Step-by-step explanation:

First approximation

9 < 14 < 16, so

3 < √14 < 4

Second approximation

14 is closer to 16 than to 9.

Is √14 between 3.7 and 3.8? If so, then

3.7² < 14 < 3.8²

13.69 < 14 < 14.44. TRUE

The inequality is 3.7 < √14 < 3.8.

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The ratio to isabella's money to shane's money is 3:11 if isabella has $33 how much money do shane and isabella have together us

alexgriva [62]

Shane and Isabella have 154 dollars

4 0

3 years ago

The median starting salary for new law school graduates is determined by

Elena-2011 [213]

Step-by-step explanation:

1) we would have the expectation that b₅ < 0 because b₅ shows how salary responds to law school ranking. As the rank of law school increases then median starting salary for new law school graduates declines. there is an inverse relation between salary and rank, Coefficient of rank, b5 will be negative since it is less than 0

ii) B₁ is going to be positive because as median LSAT score for the graduating class goes up, so does the salary of graduates. we have B1 >0

B₂ will be positive as college median GPA rises, so does graduate salary.

B₃ will be positive because if the more volumes of book in library, the greater possibility of getting higher salary, so B₃ >0.

B₄ >0 as if annual cost is high , then there would be indictaes more facilities of learning for students, leading to more chances of high salaries , hence B4 >0.

B5<0 this has been explained in 1.

iii) predicted ceteris paribus difference in salary for schools with a median GPA different by one point

= coefficient of GPA

=0.248

= this 24.8% in percentages B₂ tells us that when other factors are held constant,increasing median gpa by 1 would cause 24.8 percent increase in salary predicted.

iv)holding other variable factors constant, increasing the volume in the law library would bring about predicted salary increase by 0.095%

v) due to the inverse relationship between rank of law school and salary, it is better to attend a law school with lower rank than that with higher rank

difference in ranking of 20 = 20*(-0.0033)

= -0.066 x 100

= -6.6%

if rank is lower by 20 units , then we will have salary to be 6.6% higher

8 0

3 years ago

A geometric sequence is defined by the equation an = (3)3 − n.

Delvig [45]

PART A

The geometric sequence is defined by the equation

$a_{n}=3^{3-n}$

To find the first three terms, we put n=1,2,3

When n=1,

$a_{1}=3^{3-1}$

$a_{1}=3^{2}$

$a_{1}=9$
When n=2,

$a_{2}=3^{3-2}$
$a_{2}=3^{1}$

$a_{2}=3$

When n=3

$a_{3}=3^{3-3}$

$a_{3}=3^{0}$
$a_{1}=1$
The first three terms are,

$9,3,1$

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
$r= \frac{a_{2}}{a_{1}}$
$r = \frac{3}{9}$

$r = \frac{1}{3}$

PART C

To find
$a_{11}$

We substitute n=11 into the equation of the geometric sequence.

$a_{11} = {3}^{3 - 11}$

This implies that,

$a_{11} = {3}^{ - 8}$

$a_{11} = \frac{1}{ {3}^{8} }$

$a_{11}=\frac{1}{6561}$

4 0

3 years ago

$300 at 4 percent for 3 years

Basile [38]

So this is a simple interest problem

Amount=principal(starting amount) * rate * time(In years)

So A= 300*0.04*3
A =36
So the interest earned was 36$ but since the balance started with 300$ you have to add 36$ to the old balance to find your new balance
Therefore your new balance would be 336$

5 0

3 years ago

The perimeter of the rectangle is 32 cm.

Vaselesa [24]

Answer:

32=2(1+2x)+2x

Step-by-step explanation:

Let's represent the width by x

it implies the length is 1+2x

but.

P=2L+2W. where P=perimeter

L=Length

W=width

it implies

32=2(1+2x)+2x.

7 0

4 years ago