A rectangle has a length of y^2+3y+7 and a width of y-3. How much longer is the length?

Answer:

$812.25

Step-by-step explanation:

Given data

Cost of TV=  $855

Discount= 10%

Tax= 5%

Let us find the amount of the Discount

=10/100*855

=0.1*855

=$85.5

Let us find the amount of the Tax

=5100*855

=0.05*855

=$42.75

Hence the cost of the TV is

=855+42.75-85.5

=897.75-85.5

=$812.25

Complete question :

A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.

1-What percentage of adult men can fit through the door without bending?

2-) Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below

A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.

B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.

C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.

Answer:

A.) 0.135%

B.) C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

C.)

Step-by-step explanation:

Percentage of adult men that can fit the door without bending :

Obtain the Zscore :

Mean height of men, m = 67.5

Standard deviation, s = 3.7

Zscore = (x - m) / s ; where x = 56.4

Zscore = (56.4 - 67.5) / 3.7

Zscore = - 11.1 / 3.7

Zscore = - 3

P(Z < - 3) = 0.0013499 (Z probability calculator)

P(Z < - 3) = 0.0013499 * 100% = 0.13499%

Answer:

Step-by-step explanation:

   y - y1 = m (x - x1)       the slope m = 1    (x1, y1) = (-7, -1)

   y - -1  = 1 (x - -7)

   y + 1  =  1 (x + 7)

         y = x +6

Answer:

x = -7, y = 3

Step-by-step explanation:

x = -2y - 1

x = 3y - 16

so:

-2y - 1 = 3y - 16

add 2 y to each side of the equation:

-1 = 5y - 16

add 16 to each side:

5y = 15

divide both sides by 5:

y = 3

x = 3(3) - 16 = -7

Answer:

Step-by-step explanation:

Correct choice is D

The true statements about parallelograms are,

Both sets of opposite sides of a parallelogram are parallel and congruent.

A trapezoid is a parallelogram.

Diagonals of a parallelogram bisect each other.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

The true statements about parallelograms are,

Both sets of opposite sides of a parallelogram are parallel and congruent.

A trapezoid is a parallelogram.

Diagonals of a parallelogram bisect each other.

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Answer:

To be honest I haven't learned this yet so please reach out to me later

Answer:

Step-by-step explanation:

No Idea!

Answer:

x - 4

Step-by-step explanation:

Please write X2-7x+12 by x-3  as  x^2 - 7x + 12.  The " ^ " represents exponentiation.

Notice that  x^2 - 7x + 12  factors as follows:  (x - 3)(x - 4), and so the original division problem

x^2 - 7x + 12                        (x - 3)(x - 4)

-------------------- becomes  -------------------- = x - 4

      x - 3                                      x - 3

for all x except x = 3 (because we cannot divide by zero).

Answer:

Selling rice is $10.00

Step-by-step explanation:

The manager put what the markup of $3.00 was to be added onto what the item cost.

Answer:

(y+6)(y-1)

Step-by-step explanation:

literally factorising.

y^2 x -6 = -6y^2

u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.

Answer:

p = 6, q = - 1 , or p = - 1, q = 6

Step-by-step explanation:

Factorise the quadratic expression on the left side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1 , since

6 × - 1 = - 6 and 6 - 1 = + 5 , then

y² + 5y - 6

= (y + 6)(y - 1) = (y - 1)(y + 6)

Compare to (y + p)(y + q) , then

p = 6, q = - 1 or p = - 1, q = 6

Answer:

Step-by-step explanation:

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Answer:

e

Step-by-step explanation:

15 +15+8+8 the a0ns is E

Answer:

E. 46cm

Step-by-step explanation:

Perimeter of a rectangle= 2(l+b)

Length=15 cm, breadth=8cm

Therefore, p= 2(15+8)

=2x23 = 46cm

Answer: D. -2, 0, and 1

Step-by-step explanation:

edge2021

The list that represents the values of x for which the function has a discontinuity is 0 and 1

The function is given as:

[tex]f(x)=\dfrac{1}{x(x-1)}[/tex]

Start by setting the denominator to 0

x(x -1) = 0

Split the equation

x = 0 and x -1 = 0

Solve for x

x = 0 and x = 1

Hence, the list that represents the values of x for which the function has a discontinuity is 0 and 1.

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Answer:

the equation is y= 3x - 1

Step-by-step explanation:

to find the intersection with x just substitute 0 to Y.

0=3x-1

3x=1

x=1/3

The value of x-intercept of the graph whose equation is y + 1 = x³ is,

⇒ 1

We have to given that;

The equation is,

⇒ y + 1 = x³

Now, For x - intercepts;

Put y = 0 in above equation,

⇒ y + 1 = x³

⇒ 0 + 1 = x³

⇒ 1 = x³

⇒ x = ∛1

⇒ x = 1

Thus, The value of x-intercept of the graph whose equation is y + 1 = x³ is,

⇒ 1

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Answer:

26 gallons of gas

Step-by-step explanation:

168 miles = 14 gallons of gas

312 miles = x gallons of gas

168 miles/14 gallons of gas = 312 miles/x gallons of gas

x = [tex]\frac{312 * 14 }{168}[/tex]

x = 26 gallons of gas

I think this is the answer

Answer:

9. a) 5a

   b) 0

   c) -x -y

   d) -11m -n

hope this answer helps you.....

Answer:

I have calculated a b c d.I hope you wanted me to simplify it like that.that's the only method I know hope it helps.

Answer:

x = 5

Step-by-step explanation:

Since both triangles are similar hence;

m<CAB = m<CDE

Given theta

m<CAB = 50degrees

m<CDE = 10x

Substitute the given angles

50 = 10x

Swap

10x = 50

Divide both sides by 10

10x/10 = 50/10

x = 5

Hence the value of x is 5

9514 1404 393

Answer:

  68°

Step-by-step explanation:

Chords of the same length subtend arcs of the same measure.

  Chord EF = Chord FG . . . . given

  Arc EF = Arc FG = 68°

Answer:

b, c, d.

Step-by-step explanation:

Statements 2) Line SW has an undefined slope, 3)Line TV has a slope of 0, and 4) Lines RS and TV are parallel are correct.

It is given that there are three lines RS, TV, and SW.

Line RS goes through (-8, 6) and (2, 6).

Line TV goes through (-6, -4) and (8, -4).

Line SW goes through (2, 6) and (2,-8).

It is required to find true statements.

Statements are:

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]m=\frac{y_{2}-y_{1}}{{x_{2}-x_{1}}}[/tex]

Where [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] are points lie on the line.

1. Finding line RS slope by using the above formula:

   [tex]m=\frac{6-6}{2-(-8)}[/tex]

   [tex]m=0[/tex]

2. similarly finding line SW slope:

   [tex]m=[/tex] ∞

3. similarly finding line TV slope:

   [tex]m=0[/tex]

4. If the two lines are parallel then their slope will be equal.

   The slope of RS = The slope of TV.

   Hence RS and TV are parallel.

5. If two lines are perpendicular then their product of slope will be -1.

   Here we can see the product of the slope of SW and RS is not defined.

   Hence these two lines aren't perpendicular.

Therefore, statements 2, 3, and 4 are correct.

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Our 6 ratios:

10/24

10/26

24/26

24/10

26/10

26/24

Answer:

6.8*10^3

Step-by-step explanation:

Answer:

The answer is 6.8 × 103.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

Step-by-step explanation:

1/6

1/2 ÷ 3

1/2 × 1/3

1/6

Answer:

V = (4, 4 )

Step-by-step explanation:

Use the midpoint formula, the equation corresponding coordinates to the coordinates of the midpoint M

let V = (x, y ) , W = (8, 6 ) , then

[tex]\frac{x+8}{2}[/tex] = 6 ( multiply both sides by 2 )

x + 8 = 12 ( subtract 8 from both sides )

x = 4

and

[tex]\frac{y+6}{2}[/tex] = 5 ( multiply both sides by 2 )

y + 6 = 10 ( subtract 6 from both sides )

y = 4

coordinates of V = (4, 4 )

Answer:

473 yd^3

Step-by-step explanation:

The surface area of the square base is (11 yd)^2, or 121 yd^2.

The surface area of one of the slanting sides of the pyramid is

A = (1/2)(b)(h), which comes to A = (1/2)(11 yd)(16 yd) = 88 yd^2.

Thus, four such sides have a combined surface area of 352 yd^2.

Combining the surface areas of the slanting sides with the base area yields 473 yd^3

Answer:

258 cm PLZ GIVE ME BRAINLIEST

Step-by-step explanation:

Since the chord is given as 80cm, we know from the definition of a chord that it is equidistant to both sides of the circle. Therefore, half the chord is 40. The extension of the center to the chord is perpendicular to the chord(definition of a chord). Therefore, if we connect the center of the circle to the edge of the chord, it's a right triangle. Also the center of the chord is the radius of the circle. Pytharogean theorem: 40^2 + 9^2=r^2   :   1681=r^2:     r=41. The radius is 41. Curcumference of circle: pi*2*r : pi*2*41 : pi*82= 258 cm.