Put these numbers in order from least to greatest.-12/40 -5 19/38

The total weight W of such a plane is equal to

W = w + gf

where

w = weight of plane without fuel

g = number of gallons of fuel

f = weight of 1 gallon of fuel.

When carrying g = 10 gallons, the total weight is W = 1955, so

1955 = w + 10f

When carrying g = 42 gallons, the weight is W = 2131, so

2131 = w + 42f

We want to find W when g = 52, and to do this we first need to find the weight of the plane w and the weight of 1 gallon of fuel f.

Solve the system of equations,

w + 10f = 1955

w + 42f = 2131

We can combine the equations like so to eliminate w and solve for f :

(w + 42f) - (w + 10f) = 2131 - 1955

32f = 176

f = 11/2 = 5.5

Then solving for w, we get

w + 10 (5.5) = 1955

w + 55 = 1955

w = 1900

So, when the plane carries g = 52 gallons of fuel, the total weight is

W = 1900 + 52 (5.5) = 2186

Question 16:

[tex]\alpha[/tex] and [tex]\beta[/tex] are the roots of the equation.

That means [tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0\\[/tex]

[tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0[/tex]

          [tex]2x^{2} -6x+5 = 0\\x^{2} -3x+\frac{5}{2} =0[/tex]

          [tex](x-\alpha )(x-\beta ) =x^{2} - (\alpha +\beta )x +\alpha \beta[/tex]

So,

[tex]x^{2} - (\alpha +\beta )x +\alpha \beta = x^{2} -3x+\frac{5}{2}[/tex]

Compare coefficient

[tex]\alpha +\beta = 3\\\alpha \beta = \frac{5}{2}[/tex]

Consider [tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta }[/tex]

[tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta } =\frac{ \alpha ^{2} +\beta ^{2}}{\alpha \beta }[/tex]

[tex]= \frac{(\alpha +\beta )^{2} -2\alpha \beta }{\alpha \beta } \\= \frac{3^{2} -2*\frac{5}{2} }{\frac{5}{2} } \\= 4*\frac{2}{5} \\=\frac{8}{5}[/tex]

Ans: 8/5

Question 19:

[tex]f(x+2) = 2x^{2} +5x-3\\[/tex]

Substitute x with -1

So,

[tex]f(1) = 2(-1)^{2} +5(-1)-3\\=2-5-3\\=-6[/tex]

Ans: -6

Answer:

slope = -2

y-intercept = 5

Step-by-step explanation:

1) Find slope:

[tex]\frac{3-9}{1-(-2)}[/tex] =  [tex]\frac{-6}{3}[/tex] = -2

-2 = slope

2) Find y intercept trough point slope and slope-intercept forms

y - y1 = m (x - x1)

y - 9 = -2 (x + 2)

y - 9 = -2x -4

  + 9         + 9

y = -2x + 5

y = mx + b with b being the y-intercept

5 = y-intercept

Answer:

y/x

Step-by-step explanation:

If x is proportional to y, then:

y = kx, where k is a constant

This can be rearranged to give:

k = y/x

As mentioned, k is a constant, therefore, the answer is y/x

11000 litre of water is needed to fill the tank.

Answer:

solution given:

radius [r]=1.05m

Total height[H]=3.5m

height of cylinder[h]=2.45m

Now

The volume of the cylindrical part of tank=[tex]\pi r^2h=3.14*1.05^2 *2.45=8.4815m^3[/tex]

again

the volume of semi-spherical part of tank=[tex]\frac{2}{3} \pi r^{3} =\frac{2}{3}*3.14*1.05^3=2.4233m^3[/tex]

now

total volume=volume of the cylindrical part of tank + volume of semi-spherical part of tank

=8.4815+2.4233=10.9048 [tex]m^{3}[/tex]

we have

[tex]1m^3=1000litre[/tex]

[tex]10.9048m^3=1000*10.9048=10904.8\:litre[/tex]

Step-by-step explanation:

Answer:

Line x-intersect: -6

y-intersect: 10

Step-by-step explanation:

X + y = 4

x = 4-y

2(4-y) + 3y = 18 (substitution)

8-2y+3y = 18

y = 18-8

y = 10

x + 10 = 4

x = -6

Answer:

I think it's no

Step-by-step explanation:

because you will study hard

With the center of dilation at the origin, the image is given by the product

of the corresponding point on the preimage and the scale factor.

Reasons:

The center of dilation of quadrilateral MNOP = The origin

The image following the dilation of MNOP = M'N'O'P'

The scale factor of dilation = 1.5

Required:

The coordinates of N'

Solution:

The coordinates of N in MNOP = N(3, 3.5)

The coordinate of a point (x', y') on the image following the dilation with center at the origin, of the preimage (x, y) by a scale factor is given as follows;

Which gives;

The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)

Learn more about dilation transformation here:

https://brainly.com/question/12561082

Answer:

C) (4.5, 5.25)

Step-by-step explanation:

Answer:

[tex]a_{62}=-107[/tex]

Step-by-step explanation:

This is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference and n is the index of any given term.

The common difference of the given sequence is -2:

[tex]13-15=-2\\11-13=-2[/tex]

Using the first term and the common difference, you can write the equation for this sequence:

[tex]a_n=15+(n-1)(-2)[/tex]

And using that equation, you can find the 62nd term:

[tex]a_{62}=15+(62-1)(-2)\\a_{62}=15+(61)(-2)\\a_{62}=15-122\\a_{62}=-107[/tex]

Answer:

  (x, y) ⇒ (-x +5, -y +2)

Step-by-step explanation:

Rotation 180° is described by ...

  (x, y) ⇒ (-x, -y)

Translation right 5 and up 2 is described by ...

  (x, y) ⇒ (x +5, y +2)

The two transformations together that map P to R are described by ...

  (x, y) ⇒ (-x +5, -y +2)

Answer:

  6 cm by 14 cm

Step-by-step explanation:

The perimeter of the joined figure will be the sum of the perimeters of rectangles A and B, less the lengths of the sides that are joined. The two joined sides have a total length of ...

  (40 cm) +(40 cm) -(68 cm) = 12 cm

Then the length of the joined sides is 6 cm. The length of the other side of the rectangle is the difference between half the perimeter and this, or ...

  (40 cm)/2 -6 cm = 14 cm

The length and width of rectangles A and B are 14 cm and 6 cm. When put together, they are joined on the 6 cm side.

Answer:

(0,-4)

Step-by-step explanation:

3(0) - (-4) = 4

0 + 4 = 4

The expression [tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex] is equivalent to  [tex]\dfrac{22x+48}{x^2-36}\\\\[/tex]  and it can be determined by using LCM and fraction.

[tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex]

If no denominator equals zero,

Which expression is equivalent to the given expression?

Expression;

[tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex]

If no denominator equals zero,

To determine the equivalent relation of the given equation following all the steps given below.

                   [tex]\rm= \dfrac{15}{x-6}+\dfrac{7}{x+6}\\\\=\dfrac{15(x+6) + 7(x-6)}{(x-6) (x+6)}[/tex]

                   [tex]\rm=\dfrac{15(x+6) + 7(x-6)}{(x-6) (x+6)}\\\\= \dfrac{15x+90 + 7x-42}{x(x+6) -6 (x+6)}\\\\= \dfrac{22x+48}{x^2+6x -6 x-36}\\\\= \dfrac{22x+48}{x^2-36}\\\\[/tex]

Hence, The expression [tex]\rm \dfrac{15}{x-6}+\dfrac{7}{x+6}[/tex] is equivalent to  [tex]\dfrac{22x+48}{x^2-36}\\\\[/tex] .

For more details about Expression refer to the link given below.

https://brainly.com/question/14610993

th graph is increasing I'm pretty sure

Answer:

ur right!!

Step-by-step explanation:

Answer:

For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The basic form of the equation is y=mx+b. The b stands for the y-intercept. In this equation, 8 is b due to its position in the equation, and -8/7 is m. Since we know that 8 is b and that b is the y-intercept, we know that 8 is the y-intercept.

Hope this helps!

Answer:

7

Step-by-step explanation:

DE corresponds to AB.

37=5x+2

-2 -2

35=5x

7=x

14 year it would take to  earn $1000 simple interest on an investment of $800 at 9% annual interest.

percentage, a relative value indicating hundredth parts of any quantity.

Let the number of years be represented as T

Now , the equation will be

The simple interest I = $ 1000

The rate of interest R = 9 %

The principal amount P = $ 800

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

1000 = ( 800 x 9 x T ) / 100

On simplifying the equation , we get

72T = 1000

Divide by 72 on both sides of the equation , we get

T = 13.89 years

Therefore , the number of years is approximated to 14 years

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ7

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

Solution:

Let the two digits of a number be X and Y

Let the digit at 10's place = X

Let the digit at 1's place = Y

The two digit number = 10X+Y

Given that

The sum of the digits = 9

⇛ X+Y = 9

⇛X = 9-Y →→→→eqn(i)

If 9 is added to the number the digits interchanged

⇛10X+Y +9 = 10Y+X

⇛10X+Y+9-10Y-X = 0

⇛9X-9Y +9 = 0

⇛9(X-Y+1) = 0

⇛X-Y+1 = 0

⇛9-Y-Y+1 = 0

⇛10-2Y = 0

⇛2Y = 10

⇛Y = 10/2

⇛Y = 5

Now

X = 9-5 = 4

Therefore the number = 45 Ans.

also read other questions: Increases the number of free hydrogen ions or protons (H+) in the inter-membrane space of the mitochondria (between the outer and inner membranes).

https://brainly.com/question/4179342?referrer

Answer:

see that attachment

I hope it's help you

Answer:

1

3  maybe

Step-by-step explanation:

Answer:

[tex]2.25\pi[/tex] or [tex]7.07 mi^{2}[/tex]

Step-by-step explanation:

The formula for the area of a circle is:

[tex]\pi r^{2}=A[/tex]

Radius is half of the diameter of a circle so you will get this:

[tex]\pi (\frac{3}{2}) ^{2}\\\\\pi (1.5)^2\\\\2.25\pi \\\\7.07[/tex]

Answer:

C) y=3/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

Answer:

C) y=3/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

Answer:

Step-by-step explanation:

9.  Correct, D

-3Y + 9X <= 12

3Y - 9X => -12

3Y => -12 + 9X  

Y => -4 + 3X  

10.  D

11.  D

12.  Correct, B

13.  Correct, E

14.  A

15.  B

Answer:

$10.5

Step-by-step explanation:

$42 for 4 basketballs

price of 1 basketball = 42/4

42/4 = 10.5

-Chetan K

Answer:

10.5 dollars

Step-by-step explanation:

42÷4=10.5