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Answer:

1202.5  miles

Step-by-step explanation:

It is given that.

A test of a new car shows it can drive 370 miles on 20 gallons of gas.

We need to find how far you could drive on 65 gallons of gas.

20 gallons of gas = 370 miles

1 gallon = 18.5 miles

For 65 gallons of gas, multiply 65 and 18.5.

65 gallons = 18.5 × 65 miles

= 1202.5  miles

Hence, 1202.5  miles you could drive on 65 gallons of the gas.

Answer:

Podemos determinar la velocidad del automóvil mediante diferencias sucesivas tanto en el dominio del tiempo como en el dominio de la posición:

Dominio del tiempo

[tex]v_{i+1} = v_{i} + a_{i}\cdot \Delta t[/tex]

Dominio de la posición

[tex]v_{i+1} = \sqrt{v_{i}^{2}+2\cdot a_{i}\cdot \Delta s}[/tex]

Step-by-step explanation:

En este caso, es necesario tener una función que represente a esta en función del tiempo o de la posición si nos basamos en las definiciones diferenciales de aceleración ([tex]a(t)[/tex]), medida en metros por segundo al cuadrado, es:

[tex]a(t) = \frac{dv}{dt}[/tex] (1)

[tex]a(s) = v(t)\cdot \frac{dv}{ds}[/tex] (2)

Donde:

[tex]v(t)[/tex] - Velocidad del automóvil, medida en metros por segundo.

[tex]\frac{dv}{dt}[/tex] - Primera derivada de la velocidad con respecto al tiempo, medida en metros por segundo.

[tex]\frac{dv}{ds}[/tex] - Primera derivada de la velocidad con respecto a la posición, medida en [tex]\frac{1}{s}[/tex].

A continuación, analizamos cada ecuación:

Eq. 1

Procedemos a despejar la diferencial de velocidad e integramos la expresión resultante:

[tex]v_{f}-v_{o} = \int {a(t)} \, dt[/tex] (3)

[tex]v_{f} = v_{o}+\int {a(t)} \, dt[/tex]

Podemos obtener aproximaciones sucesivas al discretizar la ecuación anterior, es decir:

[tex]v_{i+1} = v_{i} + a_{i}\cdot \Delta t[/tex] (3b)

Eq. 2

Procedemos a despejar la velocidad e integramos la expresión resultante:

[tex]\int {v} \, dv = \int {a(t)} \, ds[/tex] (4)

[tex]\frac{1}{2}\cdot v_{f}^{2}-\frac{1}{2}\cdot v_{o}^{2} = \int {a(s)} \, ds[/tex]

[tex]\frac{1}{2}\cdot v_{f}^{2} = \frac{1}{2}\cdot v_{o}^{2}+\int {a(s)} \, ds[/tex]

[tex]v_{f}= \sqrt{v_{o}^{2}+2 \int {a(s)} \, ds }[/tex]

Podemos obtener aproximaciones sucesivas al discretizar la ecuación anterior, es decir:

[tex]v_{i+1} = \sqrt{v_{i}^{2}+2\cdot a_{i}\cdot \Delta s}[/tex] (4b)

Answer:

(c) is the right answer

go for it

hope it helps you

Step-by-step explanation:

please mark me as brainliest please

Answer:

(199+0.32)minus 350

Step-by-step explanation:

199 is the cost plus fee per mile 0.32 subtract 350 to see if he can afford it

Answer:

4 2/5 tons

Step-by-step explanation:

2/5 = 4/10 = .40

4.40 tons > 4.3 tons

Answer:

MO = 8 units

MP = 4 units

Step-by-step explanation:

[tex] In\: \triangle MOP, \\

\angle P = 90\degree ... (given) \\

\angle M = 60\degree ... (given) \\

\therefore \angle O = 30\degree(3^{rd} \: \angle \: of\: \triangle) \\

Let \huge\purple {MO = x \: units}... (1)\\

\therefore MP = \frac{1}{2} \times MO\\(side\: opposite \: to\: 30\degree) \\\\

\therefore MP = \frac{1}{2} \times x\\\\

\huge\red {\therefore MP = \frac{1}{2} x}.... (2)\\\\

\therefore PO = \frac{\sqrt 3}{2} \times MO\\(side\: opposite \: to\: 60\degree) \\\\

\therefore PO = \frac{\sqrt 3}{2} \times x\\\\

\huge\orange{\therefore PO = \frac{\sqrt 3}{2}x} \\\\

\because MP + PO + MO = P(\triangle MOP) \\\\

\therefore \frac{1}{2} x+\frac{\sqrt 3}{2}x+ x = 12+4\sqrt 3\\\\

\therefore \frac{1}{2} x+x+\frac{\sqrt 3}{2}x= 4(3+\sqrt 3)\\\\

\therefore \frac{3}{2} x+\frac{\sqrt 3}{2}x= 4(3+\sqrt 3)\\\\

\therefore \frac{(3+\sqrt 3)}{2} x= 4(3+\sqrt 3)\\\\

\therefore x = 4(3+\sqrt 3)\times \frac{2}{(3+\sqrt 3)}\\\\

\therefore x = 4\cancel{(3+\sqrt 3)}\times \frac{2}{\cancel {(3+\sqrt 3)}}\\\\

\therefore x = 4\times 2\\\\

\therefore x = 8\\\\

\huge\purple {\boxed{\implies MO = 8}} \: \\ [From\: equation \: (1)]\\\\

\because MP = \frac{1}{2} x \:

\\ [From\: equation \: (2)]\\\\

\therefore MP = \frac{1}{2} \times 8\\\\

\huge\red {\boxed{\therefore MP = 4 \: units}}

[/tex]

Answer: t=3.75

Step-by-step explanation:45=6t×2

6t=22.5

t=3.75

The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t².

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

Given the function,

f(t) = 6t² where t is time in seconds while f(t) is the distance in feet.

At f(t) = 54 feet

6t² = 54

t² = 54/6 = 9

t = 3 seconds

Hence "The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t²".

For more about the function,

brainly.com/question/23712366

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Answer:

The answer is A.

Step-by-step explanation:

Answer:

It should be 2.

Step-by-step explanation:

The slope for this graph is 1/2 or 1 horizontal for every 2 verticals.

Answer:

It’s 2 I’ve done this before

Step-by-step explanation:

Answer:

GGGG

Step-by-step explanation:

GGGGG

Answer:

20

Step-by-step explanation:

Answer:

You can't even do that I'm pretty sure

Step-by-step explanation: Too many decimals points

Answer:

you have a line with slope = -1/3. A line perpendicular to that has to have slope that's the negative reciprocal, or 3.

So we have a slope and a point. The line in point-slope form is

(y-3) = 3(x-4).

You can convert that to another form if you need to

any more help just ask :)

Answer:

The answer would be 2/13

Step-by-step explanation:

Answer:

I would say Acute. The angle is definitely less than a right angle. Reflex angles are angles more than 180 degrees, but less than 360 degrees.

Answer:

The sum of a rational number and an irrational number is irrational number.

Answer:

590 centimeters

Step-by-step explanation:

Answer: about 2 minutes and 47 seconds

Step-by-step explanation:

Answer:

I think it is Yes, SAS

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

hehhehehehhhheeeeehhhee u cant stop me

Answer:

i believe it is 5 im not sure

Step-by-step explanation:

Answer:

x+y = 87

1.5x+0.5y = 78.5

Step-by-step explanation:

Let x = number of nachos sold and y = number of sodas sold

x+y = 87 because that's the total number of nachos and sodas he sold

1.5x+0.5y = 78.5 because nachos cost $1.50 and sodas cost $0.50 and David made a total of $78.50

Answer:

A

Step-by-step explanation:

Area of a base: 16 × 15 ÷ 2 = 120

Area of sides:

37 × 15 = 555

37 × 16 = 592

37 × 20 = 740

Area of prism: 2 × 120 + 555 + 592 + 740 = 2127

Answer:

x = 1

y = 6

Step-by-step explanation:

y = 6x   --------------(I)

7x - 8y = -41   ------------(II)

Substitute y =6x in equation (II)

7x - 8*(6x) = -41

7x - 48x    = -41   {Combine like terms}

     -41x = -41

          x = -41/-41

x = 1

Plug in x = 1 in equation (I)

y = 6*1

y = 6

Answer:

From smallest to largest

0.2, 1/2, 60%

Step-by-step explanation:

:)

Answer:

0.2, 1/2, 0.6/60%

Step-by-step explanation:

Answer:

Concepts: Basic Linear Algebra

Answer:

y int is (0,5)

slope is m=-2

y=-2x+5

Step-by-step explanation:

The line has a slope of -2 and a y-intercept of y=4. (y=-2x+4)

Explanation: You can tell by where the line is landing on the x and y intercepts and it's as easy as counting lines. As far as the y-intercept goes, you can tell that by looking where the line crosses the y axis. And in this case it's (0,4) making your y-intercept, y=4.

Answer:

Symmetric Property of Congruence

Step-by-step explanation:

Reflexive:

A ~= A

B ~= B

Symmetric:

A ~= B then B ~= A

Transitive:

If A ~= B and B ~= C, then A ~= C

Answer:

I think I donot say it is correct only peridect 4cm*4cm*3cm*8cm=384cm

Answer:

18

Step-by-step explanation:

area of the square-->12

area of the triangle--->6

area of the square + area of the triangle = area of the trapezoid

12+6=area of the trapezoid

18 = area of the trapezoid

Answer:

3 to 2, 6 to 4, 18 to 6, etc.

As long as you multiply 3 and 2 by the same number, you will get a correct answer to this problem.

Step-by-step explanation:

boys to girls

30 to 20

3 to 2