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3 years ago

MORE EMERGENCY!

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

Answer:

i think its 25

Step-by-step explanation:

BASE x HEIGHT

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What graph best represents the solution to the equality y - 2x > -8

Ne4ueva [31]

Answer:

<h2>In the attachment</h2>

Step-by-step explanation:

$y-2x>-8\qquad\text{add}\ 2x\ \text{to both sides}\\\\y>2x-8\\-------------------------\\\\-\ dotted\ line\\\leq,\ \geq-\ solid\ line\\,\ \geq-\ shading\ above\ the\ line\\-------------------------\\\\y=2x-8-\text{It's a linear function.}\\\text{We only need two points to draw a graph.}\\\text{Choice two arbitrary values of x, substitute to the equation,}\\\text{and calculate the values of y}.\\\\for\ x=4\to y=2(4)-8=8-8=0\to A(4,\ 0)\\for\ x=0\to y=2(0)-8=0-8=-8\to B(0,\ -8)$

6 0

3 years ago

Calculus question?

Ann [662]

Remark
If you don't start exactly the right way, you can get into all kinds of trouble. This is just one of those cases. I think the best way to start is to divide both terms by x^(1/2)

Step One
Divide both terms in the numerator by x^(1/2)
y= 6x^(1/2) + 3x^(5/2 - 1/2)
y =6x^(1/2) + 3x^(4/2)
y = 6x^(1/2) + 3x^2 Now differentiate that. It should be much easier.

Step Two
Differentiate the y in the last step.
y' = 6(1/2) x^(- 1/2) + 3*2 x^(2 - 1)
y' = 3x^(-1/2) + 6x I wonder if there's anything else you can do to this. If there is, I don't see it.

I suppose this is possible.
y' = 3/x^(1/2) + 6x

y' = $\frac{3 + 6x^{3/2}}{x^{1/2}}$

Frankly I like the first answer better, but you have a choice of both.

5 0

3 years ago

Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable

notsponge [240]

Complete Question

ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.

a. What is the value of the sample test statistic? (Round your answer to two decimal places.)

b. Find the P-value of the test statistic. (Round your answer to four decimal places.)

Answer:

a) $Z=2.45$

b) $P Value=0.0073$

Step-by-step explanation:

From the question we are told that:

Probability of Wishart and Leach $P=21.4=>0.214$

Population Size $N=498$

Sample size $n=12$

Therefore

$P'=\frac{129}{498}$

$P'=0.2590$

Generally the Null and Alternative Hypothesis is mathematically given by

$H_0:P=0.214$

$H_a:=P>0.214$

Test Statistics

$Z=\frac{P'-P}{\sqrt{\frac{P(1-P)}{n}}}$

$Z=\frac{0.2590-0.214}{\sqrt{\frac{0.214(1-0.214)}{498}}}$

$Z=2.45$

Therefore P Value is given as

$P Value =P(Z\geq 2.45)$

$P Value =1-P(Z\leq 2.45)$

$P Value =1-0.99268525$

$P Value=0.0073$

7 0

3 years ago

Use the euclidean algorithm to find

kvasek [131]

A)
$18=1\cdot12+6$
$12=2\cdot6+0$
$\implies\mathrm{gcd}(12,18)=6$

b)
$201=1\cdot111+90$
$111=1\cdot90+21$
$90=4\cdot21+6$
$21=3\cdot6+3$
$6=2\cdot3+0$
$\implies\mathrm{gcd}(111,201)=3$

c)
$1331=1\cdot1001+330$
$1001=3\cdot330+11$
$330=30\cdot11+0$
$\implies\mathrm{gcd}(1001,1331)=11$

d)
$54321=4\cdot12345+4941$
$12345=2\cdot4941+2463$
$4941=2\cdot2463+15$
$2463=164\cdot15+3$
$15=5\cdot3+0$
$\implies\mathrm{gcd}(12345,54321)=3$

e)
$5040=5\cdot1000+40$
$1000=25\cdot40+0$
$\implies\mathrm{gcd}(1000,5040)=40$

f)
$9888=1\cdot6060+3828$
$6060=1\cdot3828+2232$
$3828=1\cdot2232+1596$
$2232=1\cdot1596+636$
$1596=2\cdot636+324$
$636=1\cdot324+312$
$324=1\cdot312+12$
$312=26\cdot12+0$
$\implies\mathrm{gcd}(9888,6060)=12$

8 0

3 years ago

Write the equation of the line given the slope and a point through the line passes

Anuta_ua [19.1K]

Answer:

1.) Y = 5/3 X + 4

2.) Y = 9/4 X - 27/4

Step-by-step explanation:

Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is

Y = MX + C

Where the

Slope M = 5/3

Coordinate = (-3,-1) in which

X = -3, Y = -1

Substitute X, Y and M into the general linear equation to achieve C

-1 = 5/3(-3) + C

-1 = - 5 + C

C = 5 - 1

C = 4

Substitute C and M back into the general linear equation.

Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be

Y = 5/3 X + 4

2.) Also,

Slope M = 9/4

Coordinate = (3,0) where X = 3, Y = 0

Substitute X, Y and M into the general linear equation to obtain C

0 = 9/4 (3) + C

C = - 27/4

Substitutes C and M back into the general linear equation

Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)

Y = 9/4 X - 27/4

4 0

3 years ago