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3 years ago

Create a list of steps, in order, that will solve the following equation. 3(x+6)^2=753

Mathematics

1 answer:

mojhsa [17]3 years ago

3 0

Answer:

x = -6 ±sqrt(251)

Step-by-step explanation:

3(x+6)^2=753

Divide each side by 3

3/3(x+6)^2=753/3

(x+6)^2=251

Take the square root of each side

sqrt((x+6)^2)=±sqrt(251)

x+6 = ±sqrt(251)

Subtract 6 from each side

x+6-6 = -6 ±sqrt(251)

x = -6 ±sqrt(251)

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the direction angle for vectors 135° the X component of the vector is -3 what is the Ywhat is what what is the Y component of th

blagie [28]

Well, the X component (assuming x is the horizontal) is equal to RCosZ

Where Z is the angle and R is the size of the resultant

Substitute into formula :

X component = RcosZ
-3 = Rcos135°
R = -3/cos135°
R = 4.24264...
R = 4.24 (2dp)

The vertical component (or Y component) is equal to RSinZ

Vertical component = RSinZ
= 4.24264... × Sin135°
= 3

The answer is 3

Please feel free to ask any questions you have

3 0

3 years ago

What would y equal if you substituted 2 in y+2x=3

Ivahew [28]

Answer:

-1

Step-by-step explanation:

Given the equation:

$y+2x=3$

Substitute $x=2$ into this equation:

$y+2\cdot 2=3\\ \\y+4=3$

Subtract 4:

$y+4-4=3-4\\ \\y=-1$

8 0

3 years ago

On an algebra test, the highest grade was 42 points higher than lowest grade.

12345 [234]

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4 0

3 years ago

Read 2 more answers

The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by World One Research, included the question, "H

LenaWriter [7]

Answer:

A 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

Step-by-step explanation:

We are given that x is normally distributed with a known standard deviation of 12.6.

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average mean response = 9 hours

$\sigma$ = population standard deviation = 12.6

n = sample of legal professionals = 250

$\mu$ = mean number of hours a legal professional works

Here for constructing a 95% confidence interval we have used One-sample z-test statistics as we know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $9-1.96 \times {\frac{12.6}{\sqrt{250} } }$ , $9+1.96 \times {\frac{12.6}{\sqrt{250} } }$ ]

= [7.44 hours, 10.56 hours]

Therefore, a 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

5 0

3 years ago

Question 7 of 10

leva [86]

3.2 x3.2=10.24 couldn’t see full question brain me pls

7 0

3 years ago