Simplify (5 square root 2 - 1 ) ^2

Answer: 2/3x-y=19/3

Step-by-step explanation:

Points are useless since we already know the point slope form and we can just simply that

y+1=2/3(x-8)

y+1=2/3x-16/3

y=2/3x-19/3

2/3x-y=19/3

Answer:

independent=$50

dependent=$35X

Step-by-step explanation:

50 is the independent variable because it doesn't change.

35X is the dependent variable because it does change.

In this scenario, the independent variable is the number of hours of labor and dependent variable is the total cost.

The independent variable is the number of hours. It is the variable that we can control or change.

The dependent variable is the total cost charged by the plumber.

It depends on the number of hours of labor and is determined by the plumber's fee structure, which includes a one-time fee of $50 plus $35 per hour of labor.

The total cost is calculated based on the number of hours of labor, making it the dependent variable in this situation.

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Answer:

(5a+3b)(5a+3b) or SQ(5a+3b)

Step-by-step explanation:

Now you can plot by referring to the above factors

Answer:

find the quotient of 8 divided by one-third, multiply 8 by

A:1/8

B:1/3( true

C:3

D:8

are the possible answers

Answer:

144

Step-by-step explanation:

Divide the b term which is 24 by 2

Gives you 12, then square it.

that's 144

formula for completing squares is [tex](b/2)^{2}[/tex]

Answer:

2, 3, 4, 7, 8, 10 I hope

Answers

=================================================

Explanations:

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Acronyms

SSS = side side side

SAS = side angle side

ASA = angle side angle

AAS = angle angle side

Answer:

I think it’s 2 hope my answer was good have a nice day as well

Step-by-step explanation:

The period of the given function y = 5 sin (πx) + 4 is π.

We have given that,

y = 5 sin (πx) + 4

We have to determine the period

The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π.

Therefore the period of the given function is π.

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Step-by-step explanation:

Z 00m

336"083"2553

(wZE2XQ) are

Answer:

BC = 4 units

Value fo y = 44

∠DAB = 56°

Value of x = 2

Step-by-step explanation:

100 - y = 12 + y  (opposite angles of parallelogram are equal)

2y = 88

y = 44

Similarly,

6-x = x+2   (opposite sides of parallelogram are equal)

2x = 4

x = 2

Answer:

21

Step-by-step explanation:

f(x) = 2x^2 - x

f(-3) = 2*(-3)^2 - (-3)

=2*9 +3

=18 +3

=21

Answer: 21

Step-by-step explanation: To find f(-3) or the value of the function when x = -3, we plug in a -3 for the x in our function and we have 2(-3)² - (-3).

Start by simplifying the exponent to get 9.

So we have 2(9) - (-3) or 18 + 3 which is 21.

Answer:

O  0.5 units

Step-by-step explanation:

so the first thing we have to do is to calculate for the dilation factor. Taking point G as the reference point, we can see that the distance of point G from rectangle W'X'Y'Z is 1.5 while the distance from rectangle WXYZ is (1.5 + 7.5) = 1.5 / 9 = 1/6

Since WX has an initial measure of 3 units, therefore the measure of W'X' is:

W'X' = 3 units *(1/6) = 0.5 units

Answer:

Step-by-step explanation:

X                  Y                 X²                              Y²                  XY

993              50               986049                 2500              49650

995              60               990025                 3600              59700

994              60               988036                  3600              59640

1006             40               1012036                 1600              40240

942             120               887364                 14400              113040

1002             40               1004004                 1600              40080

[tex]\sum X: 5932[/tex]   [tex]\sum Y : 370[/tex]     [tex]\sum X^2 : 5867514[/tex]    [tex]\sum Y^2 = 27300[/tex]    [tex]\sum XY : 362350[/tex]

To determine the regression:

[tex]Mean \ (X) = \dfrac{\sum X }{n} \\ \\ = \dfrac{5932}{6} \\ \\ = 988.67[/tex]

[tex]Mean \ (Y) = \dfrac{\sum Y}{n} \\ \\ = \dfrac{370}{6} \\ \\ = 61.67[/tex]

Intercept [tex]b_o = \dfrac{\sum YX *\sum X^2 - \sum X \sum Y}{n(\sum X^2) - (\sum X)^2}[/tex]

[tex]=\dfrac{370(5867514) -(5932)(370)}{6(5867514) - (5932)^2}[/tex]

= 131760.9563

Slope [tex]b_1 = \dfrac{n(\sum XY) -(\sum X *\sum Y) }{n(\sum X^2)-(\sum X)^2}[/tex]

[tex]b_1 = \dfrac{6(362350) -(5932*370) }{6(5867514)-(5932)^2}[/tex]

[tex]b_1 = -1.2600[/tex]

The regression line equation [tex]Y = b_o +b_1X[/tex]

[tex]Y = 131760.96 -1.2600 X[/tex]

We then make a comparison of the slope of the equation to y = mx+c

slope of the equation = -1.2600

the y-intercept corresponds to when X = 0, thus:

y-intercept = 131760.9563

Yes, it is reasonable to interpret the y-intercept of the regression line, Using atmospheric pressure as an explanatory variable due to the fact that:

X is the independent variable and Y exists as the dependent variable.

Answer:

[tex]\displaystyle y' = -(2x - 5)(6x - 25)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Derivative Rule [Product Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                       [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = (2x - 5)²(5 - x)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

6

Step-by-step explanation:

3 sqrt(20) / sqrt(5)

We know that sqrt(a) /sqrt(b) = sqrt(a/b)

3 sqrt(20/5)

3 sqrt(4)

3 *2

6

Answer:

For the geometric sequence, it has two forms of formula

We are interested in the recursive formula now

{-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our recursive formula would bea_n=a_{n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)

Step-by-step explanation:

For the geometric sequence, it has two forms of formula

{-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our recursive formula would be a n=a {n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)

Answer:

a trinomial is a perfect square trinomial if it can be factorized into a binomial multiplies to itself. In a perfect square trinomial, two of your terms will be perfect squares.

Answer:

tan 30 = x / 15

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = x

Adjacent Leg = 15

Step 2: Solve for x

Answer:

3rd one

Step-by-step explanation:

Recall that

Sin = opposite over hypotenuse

Cos = adjacent over hypotenuse

Tan = opposite over adjacent

For the angle with a measure of 30 degrees we are given it's adjacent side length and need to find it's opposite side length

When dealing with opposite and adjacent we use tangent

If tan = opposite over adjacent

Then tan30 = x / 15 and the correct answer choice is the third one

Answer:

Kindly check attached picture

Step-by-step explanation:

The expected graph is attached in the picture below :

Since additional fee is charged on only luggage exceeding 50 pound weight :

The inequality is :

Additional fee applied to :

Weight > 50

Hence x our arrows starts from 50 to the right of the number line

Answer:

Emma can read 30 pages per minute

Number of book pages 28

Step-by-step explanation:

Answer:

I think the second one is the answer ; 2√b

Answer:

The current value of the stamp collection is of $2,191.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

A stamp collection is purchased for $1,000.

This means that [tex]P = 1000[/tex]

The rate of return on the stamp collection is 4% per year

This means that [tex]n = 1, r = 0.04[/tex]

So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 1000(1 + 0.04)^{t}[/tex]

[tex]A(t) = 1000(1.04)^{t}[/tex]

What is the current value of the stamp collection?

This is A(20). So

[tex]A(20) = 1000(1.04)^{20} = 2191[/tex]

The current value of the stamp collection is of $2,191.

Answer:

Step-by-step explanation:

y = 1000(1+0.04)^20

y = 1000(1.04)^20

Rounded to the nearest hundredth

y = 1000(2.19)

y = $2190

Answer:

Answer is C

Step-by-step explanation:

In demand when the price goes up the quantity goes up and when the price goes down the quantity also goes down

In Supply when the price goes up the quantity goes down and when the price goes down the quantity goes up

Demand Schedule is a Chart

Demand Curve is a graph

Supply Schedule is a Chart

Supply Curve is a graph

Hope this helps

Step-by-step explanation:

[tex]hope \: it \: helps[/tex]

Answer:

1,944

Step-by-step explanation:

72x27=1,944

Have a wonderful day or night

Answer

1944

Step-by-step explanation:

72*27 = 1944

the image above should clarify how you're actually supposed to do it! couldn't submit this without 20 characters :,)

Answer:

1st number (x) = 5

2nd number (y) = 11

3rd number (z) = -2

Step-by-step explanation:

Let the generic solution for this problem be x + y + z = 14.  

The first number minus three times the third number equals the second number, so x - 3z = y.  The second number is 6 more than the first number, so y = 6 + x.  

x - 3z = y, we know that y = 6 + x, so the equation becomes x - 3z = 6 + x.

After some arithmetic, we find that z = -2.  

Plugging our knowns back into the generic solution becomes:

x + x - 3z + z = 14

2x - 3(-2) - 2 = 14

2x + 6 - 2 = 14

2x + 4 = 14

2x = 10

x = 5

So we know that z = -2, and x = 5, it's just simple substitution from there.  

5 + y + (-2) = 14

5 + y = 16

y = 11

Answer:

Step-by-step explanation:

1.) we need to find the bounds of integration which is just the points of intersection

here is it (-2,0) and (2,0)

which means we will integrate from -2 to 2

next, we take the upper equation and subtract that from the lower one

kind of confusing but it would look like (sketch it out if you're not sure)

(4-x²)-0= 4-x²

then we can integrate

[tex]\int\limits^2_{-2} {4-x^2} \, dx =4x-\frac{x^3}{3}|_{-2}^{2}=(4*(2)-\frac{2^3}{3})-(4(-2)-\frac{-2^3}{3})=5.333333-(-5.3333333)= 10.666666667=\frac{32}{3}[/tex]

Answer:

the answer is 4

Step-by-step explanation:

you subtract 13 from 17 =4

Answer:

132.

Step-by-step explanation:

That would be the number of permutations of 2 from 12.

12P2 = 12! / (12-2)!

= 132.