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3 years ago

15

Find the percent change from 48 to 228. Tell whether it is a percent increase or decrease. If necessary, round your answer to th

e nearest percent.

1 answer:

KIM [24]3 years ago

7 0

228 - 48 = 180

180/48 = 3.75

Its increase 375%

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Help 10 minutes to turn in

olchik [2.2K]

When you express the equation of a line in the form $y=mx+q$ , the coefficient m is exactly the slope of the line.

So, let's manipulate the equation to fulfill our goal:

$12 = 4x-6y \iff 6y = 4x-12 \iff y = \dfrac{4}{6}x - 2 \iff y = \dfrac{2}{3}x-2$

So, the slope is 2/3

4 0

3 years ago

Help please ASAP!!!!!!!!!

Elden [556K]

Answer:

b. -33

Step-by-step explanation:

The question is about finding the determinant of a 2×2 matrix

General formula; when given matrix A =[ b c ]

[ d e]

the determinant of A = (e×b)-(c×d)

Evaluate

(3 -3)

(-5 -6) = (-6×3) - ( -5×-3)

= (-18)- ( 15) = -33

4 0

3 years ago

3/√3 how to get final answer?<br><br> Is it like this <br> 3=√3*√3<br><br> And <br> √3*√3/√3= √3

Tresset [83]

Answer:

$\sf \sqrt{3}$

Step-by-step explanation:

$\sf = \frac{3}{ \sqrt{3} }$

$\sf = \frac{3}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }$

$\sf = \frac{3 \sqrt{3} }{( \sqrt{3} \times \sqrt{3}) }$

$\sf = \frac{3 \sqrt{3} }{3}$

$\sf = \frac{ \cancel{3} \sqrt{3} }{ \cancel3}$

$\sf = \sqrt{3}$

8 0

3 years ago

Read 2 more answers

1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that

valina [46]

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

$z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }$

Given that μ = $72,641 and σ = $30,000.

a) x > $100000

$z=\frac{100000-72641}{30000}=0.91$

P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814

b) n = 5

x > $100000

$z=\frac{100000-72641}{30000/\sqrt{5} }=2.04$

P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207

c) n = 10

x > $100000

$z=\frac{100000-72641}{30000/\sqrt{10} }=2.88$

P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002

4 0

3 years ago

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago