1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stich3 [128]
3 years ago
15

A superhero can fly from New York to Los Angeles in 30 minutes. The distance from New York to Los Angeles is approximately 2450

miles. How many miles per hour is the superhero flying?
81 2/3
4900
8166 2/3
1225
Mathematics
1 answer:
bulgar [2K]3 years ago
3 0

Answer:

So the superhero covers 2450 miles in 30 minutes or 1/2 hour

Thus, he/she will cover (2450 x 2) miles in 1 hour

Therefore the answer is his/her velocity is (2450 x 2) miles/hour = 4900 miles/hour.

Hope this helps!

-Agarvated

You might be interested in
What is value of m in the equation 3 (2x - 4) = x +3​
Mama L [17]

Step-by-step explanation:

6x-12=x+3

6x-x=3+12

5x=15

x=15/5

x=3

8 0
2 years ago
Read 2 more answers
Evaluate the integral following ​
alina1380 [7]

Answer:

\displaystyle{4\tan x + \sin 2x - 6x + C}

Step-by-step explanation:

We are given the integral of:

\displaystyle{\int 4(\sec x - \cos x)^2 \, dx}

First, we can use a property to separate a constant out of integrand:

\displaystyle{4 \int (\sec x - \cos x)^2 \, dx}

Next, expand the expression (integrand):

\displaystyle{4 \int \sec^2 x - 2\sec x \cos x + \cos^2 x \, dx}

Since \displaystyle{\sec x = \dfrac{1}{\cos x}} then it can be simplified to:

\displaystyle{4 \int \dfrac{1}{\cos^2 x} - 2\dfrac{1}{\cos x} \cos x + \cos^2 x \, dx}\\\\\displaystyle{4 \int \dfrac{1}{\cos^2 x} - 2 + \cos^2 x \, dx}

Recall the formula:

\displaystyle{\int \dfrac{1}{\cos ^2 x} \, dx = \int \sec ^2 x \, dx = \tan x + C}\\\\\displaystyle{\int A \, dx = Ax + C \ \ \tt{(A \ and \ C \ are \ constant.)}

For \displaystyle{\cos ^2 x}, we need to convert to another identity since the integrand does not have a default or specific integration formula. We know that:

\displaystyle{2\cos^2 x -1 = \cos2x}

We can solve for \displaystyle{\cos ^2x} which is:

\displaystyle{2\cos^2 x = \cos2x+1}\\\\\displaystyle{\cos^2x = \dfrac{\cos 2x +1}{2}}

Therefore, we can write new integral as:

\displaystyle{4 \int \dfrac{1}{\cos^2 x} - 2 + \dfrac{\cos2x +1}{2} \, dx}

Evaluate each integral, applying the integration formula:

\displaystyle{\int \dfrac{1}{\cos^2x} \, dx = \boxed{\tan x + C}}\\\\\displaystyle{\int -2 \, dx = \boxed{-2x + C}}\\\\\displaystyle{\int \dfrac{\cos 2x +1}{2} \, dx = \dfrac{1}{2}\int \cos 2x +1 \, dx}\\\\\displaystyle{= \dfrac{1}{2}\left(\dfrac{1}{2}\sin 2x + x\right) + C}\\\\\displaystyle{= \boxed{\dfrac{1}{4}\sin 2x + \dfrac{1}{2}x + C}}

Then add all these boxed integrated together then we'll get:

\displaystyle{4\left(\tan x - 2x + \dfrac{1}{4}\sin 2x + \dfrac{1}{2} x\right) + C}

Expand 4 in the expression:

\displaystyle{4\tan x - 8x +\sin 2x + 2 x + C}\\\\\displaystyle{4\tan x + \sin 2x - 6x + C}

Therefore, the answer is:

\displaystyle{4\tan x + \sin 2x - 6x + C}

4 0
1 year ago
Un comerciante de ganado compro cierto número de novillos, todos al mismo precio, por un total de 1 440 000 colones. De estos, v
sergeinik [125]

Queremos encontrar y resolver un sistema de ecuaciones para encontrar el número de novillos comprados y el valor de cada uno.

Encontramos que las soluciones son:

  • Precio = 12,820.5 colones.
  • Número = 112

La información que tenemos es:

El comerciante compro un dado número de novillos, digamos N.

El precio total fue de 1,440,000 colones.

Entonces si el precio de cada novillo es P, tenemos que:

N*P = 1,440,000

Sabemos que vendio 20 a 22,000 colones cada uno, es decir, obtuvo:

20*22,000 colones = 440,000 colones.

Es decir, de momento se tiene una perdida de:

1,440,000 - 440,000 = 1,000,000 colones.

Sí quiere obtener una ganancia de 200,000 colones, debe vender los (N - 20) novillos restantes a 2,000 colones más que P.

De esto planteamos la ecuación:

(N - 20)*(P + 2,000)= 1,000,000 colones + 200,000 colones = 1,200,000 colones.

Entonces tenemos el sistema de ecuaciones:

N*P = 1,440,000

(N - 20)*(P + 2,000) = 1,200,000

Para resolver esto comenzamos por aislar una de las variables en la primera ecuación, aislaremos N

N = (1,440,000)/P

Ahora reemplazamos esto en la otra ecuación:

(N - 20)*(P + 2,000) = 1,200,000

( (1,440,000)/P - 20)*(P + 2,000) = 1,200,000

Ahora debemos resolver esto para P.

1,440,000 - 20*P - 20*2,000 + 2,000*(1,440,000)/P = 1,200,000

- 20*P + 2,000*(1,440,000)/P = -180,000

Multiplicando ambos lados por P, obtenemos:

-20*P^2 + 2,880,000,000 = -180,000*P

Reescribimos esto como una ecuación cuadratica:

-20*P^2 +   2,880,000,000 + 180,000*P = 0

Y podemos resolver esto usando la formula de Bhaskara.

P = \frac{-180,000  \pm \sqrt{(180,000)^2 - 4*(-20)*(2,880,000,000)} }{2*-20} \\\\P = \frac{-180,000  \pm 512,640.22471 }{-40}

Solo nos interesa la solución positiva, que es:

P = = \frac{-180,000  - 512,640.22471 }{-40} = 12,820.5

Es decir, cada novillo le costó 12,820.5 colones.

y sabemos que:

N = 1,440,000/P = 1,440,000/12,820.5 = 112.3

Redondeamos al proximo numero entero, que es 112, donde ese 0.3 debe venir de algun error de redondeo (o más probablemente a un problema mal planteado).

Sí quieres aprender más puedes leer:

brainly.com/question/20868687

8 0
3 years ago
Ivan and Kate live 40 miles apart. Ivan leaves his house at 8:00 a.m.
Triss [41]

Answer: Time at which the meet = 10:17:24 am

Step-by-step explanation: Speed of Ivan = 12 mph

Speed of Kate = 16 mph

Total distance traveled = Initial separation = 40 miles

Ivan leaves his house at 8:00  a.m and Kate leaves her house at 9:30  a.m

If t is the time of catch up after Ivan starting, time taken by Kate is t - 1.5,

We have

            Distance = Speed x Time

         Total distance traveled = Distance traveled by Kate + Distance traveled by Ivan

       40 = t x 12 + (t-1.5) x 16

        40 = 28t - 24

         28t = 64

             t = 2.29 hours

So after 2.29 hours of Ivan's starting they meet,

Time = 8:00 am + 2.29 hours = 10:00 am + 0.29 x 60 minutes = 10:17am + 0.4 x 60 seconds = 10:17:24 am

Time at which the meet = 10:17:24 am

6 0
3 years ago
Change 116% into a fraction and simplify
SCORPION-xisa [38]
Remember that percent just means "out of 100", so 116% is 116 out of 100:

\frac{116}{100}

To simplify, you just divide each number by numbers that go into each:

\frac{116}{100}\div\frac{4}{4}=\frac{29}{25}

So, 116% in simplified fraction form is 29/25.
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the eighth term of the sequence 2,8,32,128
    6·1 answer
  • Please answer ASAP. '
    7·1 answer
  • What is the greatest amount of money that rounds to 105.40
    13·1 answer
  • The sum of two integers is 49 and their difference is 9. Find the numbers
    12·1 answer
  • What set of numbers are reasonable for the temperature on a winter day
    6·1 answer
  • Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
    9·2 answers
  • Helen plans to drive 130 miles to a relatives house . She would like to complete the drive in 2 hours. What should be her averag
    10·2 answers
  • The workers at a nursery plant 37 trees in each of 15 parks. They plant 42 trees in each of 23 parks.
    9·1 answer
  • I need help with school
    9·1 answer
  • Convert 0.25 with the 5 recurring to a fraction in its simplest form.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!